return [ rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 94)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 89)( 62, 68)( 63,127)( 66, 72)( 67,128)( 70, 93)( 71,131)( 75,100)( 76, 96)( 78, 84)
        ( 79,140)( 80,115)( 83, 88)( 86, 92)( 87,141)( 90,119)( 91,143)( 95, 99)( 97,135)( 98,132)(101,107)(102,148)
        (103,136)(105,111)(106,154)(109,114)(110,157)(113,118)(116,139)(117,158)(120,126)(121,137)(122,147)(124,130)
        (125,152)(129,134)(133,153)(138,151)(142,146)(144,150)(145,159)(149,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,118)( 59, 84)( 61, 67)( 62,121)( 65, 71)( 66,125)( 69, 88)( 70,126)( 73, 79)( 74,133)( 75,111)( 78, 83)
        ( 81, 87)( 82,134)( 85,114)( 86,137)( 89, 95)( 90,145)( 91,127)( 93, 99)( 94,149)( 97,103)( 98,153)(101,107)
        (102,157)(105,110)(106,132)(109,113)(112,129)(115,120)(116,147)(117,141)(119,124)(122,128)(123,148)(130,136)
        (131,158)(135,140)(138,144)(139,159)(142,151)(143,155)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 98)( 40, 72)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,114)( 52, 76)( 54, 60)
        ( 55,115)( 58, 78)( 59,118)( 62, 67)( 63,126)( 64, 90)( 66, 71)( 69, 74)( 70,127)( 73, 94)( 77,110)( 79, 85)
        ( 80,134)( 81,119)( 84, 89)( 87, 93)( 88,135)( 91,122)( 92,138)( 95,101)( 96,146)( 97,128)( 99,105)(100,149)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,133)(116,121)(120,130)(123,129)(124,148)(125,142)(131,137)
        (132,158)(136,141)(139,145)(140,159)(143,151)(144,155)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 48)( 23, 44)( 25, 31)( 26, 74)( 27, 49)( 29, 35)( 30, 78)( 33, 52)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 63)( 41, 47)( 42, 97)( 45, 66)( 46,101)( 50, 70)( 51, 67)( 53, 58)( 54,117)( 55, 86)
        ( 57, 62)( 60, 65)( 61,118)( 64, 90)( 68,109)( 69,105)( 71, 77)( 72,129)( 73,110)( 75, 81)( 76,130)( 79, 85)
        ( 80,133)( 83, 89)( 84,137)( 87,113)( 88,138)( 91, 96)( 92,145)( 93,119)( 95,100)( 98,104)( 99,146)(102,108)
        (103,149)(106,121)(107,153)(111,125)(112,122)(114,120)(115,148)(116,141)(123,128)(124,154)(126,132)(127,158)
        (131,136)(134,140)(135,159)(139,144)(142,151)(143,160)(147,152)(150,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 43)( 39, 67)( 41, 47)( 42, 95)( 45, 71)( 46, 98)( 49, 55)( 50,106)( 51, 72)( 53, 58)( 54,110)
        ( 57, 74)( 60, 66)( 61,118)( 62, 90)( 65, 70)( 68, 94)( 69,119)( 73,102)( 75, 81)( 76,130)( 77,111)( 79, 85)
        ( 80,131)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91,114)( 92,139)( 96,101)( 97,122)( 99,105)(100,147)(103,109)
        (104,150)(107,113)(108,154)(112,126)(115,121)(116,124)(117,142)(120,125)(123,146)(127,133)(128,157)(129,155)
        (132,137)(135,141)(136,158)(140,145)(143,149)(144,159)(148,153)(151,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 47)( 43,103)( 46, 72)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,126)( 63, 92)( 65, 71)( 66, 99)( 70, 96)( 74,107)( 75,104)( 77, 83)( 78,134)
        ( 79,123)( 81, 87)( 82,138)( 85, 91)( 86,139)( 89, 95)( 90,142)( 93,109)( 94,146)( 97,102)( 98,127)(101,106)
        (105,128)(108,114)(110,129)(112,118)(113,147)(116,122)(117,150)(120,125)(121,154)(124,130)(131,137)(132,157)
        (133,155)(135,141)(136,158)(140,145)(143,149)(144,159)(148,153)(151,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,101)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,122)( 62, 67)( 63,134)( 64, 95)( 66, 71)( 69, 75)( 70,135)( 73, 99)( 74,138)( 78,110)
        ( 79,106)( 81, 86)( 82,126)( 84, 90)( 85,127)( 88, 94)( 89,141)( 92, 98)( 93,145)( 96,130)( 97,149)(100,105)
        (102,109)(107,132)(108,139)(111,117)(112,150)(113,133)(115,121)(116,153)(119,125)(120,154)(123,129)(124,157)
        (128,144)(131,137)(136,140)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 74)( 27, 55)( 29, 35)( 30, 78)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 90)( 39, 64)( 41, 46)( 44, 66)( 45, 91)( 48, 54)( 49, 94)( 50, 67)( 52, 58)( 53, 98)( 56, 70)
        ( 57,102)( 60, 65)( 61, 93)( 62, 86)( 68, 87)( 69, 92)( 71, 77)( 72,114)( 73,106)( 75, 81)( 76,118)( 79, 85)
        ( 80,122)( 83, 89)( 84,126)( 88, 97)( 95,101)( 96,127)( 99,105)(100,130)(103,109)(104,134)(107,110)(108,138)
        (111,117)(112,146)(113,139)(115,121)(116,147)(119,125)(120,150)(123,129)(124,154)(128,133)(131,137)(132,155)
        (135,141)(136,158)(140,142)(143,149)(144,152)(145,159)(148,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 71)( 40, 66)( 43, 68)( 46, 52)( 47, 59)( 48, 69)( 50, 56)( 51, 89)( 54, 72)( 55, 92)
        ( 58, 64)( 60, 88)( 62, 67)( 63, 70)( 73, 79)( 74,104)( 75, 96)( 77, 83)( 78,108)( 81, 87)( 82,112)( 85, 91)
        ( 86,116)( 90, 95)( 93, 99)( 94,117)( 97,100)( 98,120)(101,107)(102,132)(103,124)(105,111)(106,135)(109,115)
        (110,139)(113,119)(114,143)(118,123)(121,127)(122,144)(125,128)(126,147)(129,134)(130,158)(131,151)(133,138)
        (136,142)(137,159)(140,146)(141,156)(145,150)(148,153)(149,157)(152,154)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 67)( 46, 96)( 49, 55)( 50, 98)( 51, 68)( 53, 59)( 54,102)
        ( 57, 71)( 58,106)( 61, 66)( 62, 94)( 63, 87)( 69, 88)( 70, 93)( 72, 78)( 73,117)( 74,110)( 76, 82)( 77,121)
        ( 80, 86)( 81,125)( 84, 90)( 85,129)( 89,101)( 92, 97)( 99,105)(100,130)(103,109)(104,133)(107,113)(108,137)
        (111,114)(112,141)(115,120)(116,145)(118,124)(119,146)(122,128)(123,149)(126,132)(127,153)(131,136)(134,140)
        (135,154)(138,144)(139,157)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 89)( 45, 51)( 46, 94)( 47, 65)( 49, 55)( 50, 98)( 53, 68)( 54,102)( 57, 63)
        ( 58, 92)( 59, 84)( 62, 88)( 66, 85)( 67, 91)( 69, 75)( 70,114)( 71,106)( 73, 79)( 74,118)( 77, 83)( 78,122)
        ( 81, 87)( 82,126)( 86, 97)( 90, 93)( 95,101)( 96,127)( 99,105)(100,130)(103,109)(104,134)(107,110)(108,138)
        (111,117)(112,150)(113,142)(115,121)(116,151)(119,125)(120,148)(123,129)(124,153)(128,133)(131,137)(132,154)
        (135,141)(136,157)(139,145)(140,158)(143,146)(144,159)(147,152)(149,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 93)( 48, 54)( 49, 98)( 50, 68)( 52, 58)( 53,102)( 56, 71)
        ( 57,106)( 60, 66)( 61, 96)( 62, 87)( 65, 91)( 69, 88)( 70, 95)( 72, 78)( 73,117)( 74,110)( 76, 82)( 77,121)
        ( 80, 86)( 81,125)( 84, 90)( 85,129)( 89,101)( 94, 97)( 99,105)(100,130)(103,109)(104,133)(107,113)(108,137)
        (111,114)(112,141)(115,120)(116,145)(118,124)(119,150)(122,128)(123,151)(126,132)(127,153)(131,136)(134,140)
        (135,154)(138,144)(139,157)(142,148)(143,158)(146,149)(147,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 43)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 42)( 39, 71)( 41, 46)( 44, 75)( 45, 72)( 48, 54)( 49,106)( 50, 76)( 52, 58)( 53,110)( 56, 79)
        ( 57,114)( 60, 66)( 61,104)( 62, 95)( 64, 70)( 65,122)( 68, 74)( 69,123)( 73,101)( 77,102)( 78, 99)( 80, 86)
        ( 81,127)( 82,118)( 84, 90)( 85,130)( 88, 94)( 89,133)( 92, 98)( 93,137)( 96,108)( 97,141)(100,124)(103,109)
        (105,125)(107,113)(111,117)(112,142)(115,121)(116,145)(119,126)(120,149)(128,132)(129,153)(131,136)(134,140)
        (135,154)(138,144)(139,157)(143,148)(146,152)(147,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 68)( 42, 72)( 43, 97)( 46, 52)( 47,106)( 48, 73)( 50, 56)( 51,110)( 54, 76)( 55,114)
        ( 58, 64)( 59,104)( 60, 92)( 62, 67)( 63,122)( 66, 71)( 69, 96)( 70,123)( 74,102)( 75, 99)( 77, 83)( 78,127)
        ( 79,118)( 81, 87)( 82,130)( 85, 91)( 86,133)( 89, 95)( 90,137)( 93,108)( 94,141)( 98,101)(100,124)(103,109)
        (105,125)(107,113)(111,117)(112,142)(115,121)(116,145)(119,126)(120,149)(128,132)(129,153)(131,136)(134,140)
        (135,154)(138,144)(139,157)(143,148)(146,152)(147,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 85)( 45, 51)( 46, 95)( 47, 73)( 49, 55)( 50, 99)( 53, 76)( 54,102)( 57, 63)
        ( 58,114)( 59, 81)( 61, 67)( 62,118)( 65, 71)( 66,121)( 69, 84)( 70,125)( 74, 91)( 75, 87)( 78, 83)( 79,106)
        ( 82,110)( 86, 90)( 88,129)( 89,126)( 92, 98)( 93,141)( 94,130)( 96,101)( 97,145)(100,105)(103,109)(104,146)
        (107,113)(108,149)(111,117)(112,153)(115,120)(116,157)(119,124)(122,128)(123,158)(127,136)(131,137)(132,133)
        (134,140)(135,159)(138,144)(139,155)(142,148)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 81)( 39, 72)( 41, 47)( 42, 83)( 45, 76)( 46, 87)( 49, 55)( 50, 99)( 51, 77)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 71)( 66,115)( 69, 75)( 70,119)( 73, 80)( 74,123)( 78, 95)( 79, 91)( 82, 86)
        ( 84, 90)( 85,124)( 88, 94)( 89,131)( 92,127)( 93,134)( 96,102)( 97,143)( 98,128)(100,106)(101,146)(104,110)
        (105,150)(108,114)(109,153)(112,118)(113,157)(116,122)(117,140)(120,126)(121,136)(125,133)(129,142)(130,138)
        (132,137)(135,141)(139,158)(144,149)(145,159)(147,152)(148,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 83)( 39, 72)( 41, 47)( 42, 86)( 45, 75)( 46, 90)( 49, 55)( 50,102)( 51, 76)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 71)( 66,118)( 69, 74)( 70,122)( 73, 79)( 77, 98)( 78, 94)( 80, 85)( 81,134)
        ( 82,123)( 84, 89)( 87, 93)( 88,135)( 91, 97)( 92,136)( 95,126)( 96,132)( 99,105)(100,145)(101,127)(103,109)
        (104,149)(107,113)(108,150)(111,117)(112,153)(115,121)(116,157)(119,125)(120,140)(124,130)(128,142)(129,138)
        (131,137)(133,141)(139,158)(143,148)(144,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 81)( 39, 72)( 41, 47)( 42, 84)( 45, 76)( 46, 87)( 49, 55)( 50, 99)( 51, 77)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 71)( 66,115)( 69, 75)( 70,119)( 73, 80)( 74,123)( 78, 95)( 79, 91)( 82, 86)
        ( 83,126)( 85, 90)( 88, 94)( 89,127)( 92,130)( 93,134)( 96,102)( 97,146)( 98,131)(100,106)(101,147)(104,110)
        (105,150)(108,114)(109,153)(112,118)(113,157)(116,122)(117,140)(120,125)(121,136)(124,129)(128,137)(132,142)
        (133,138)(135,141)(139,158)(143,149)(144,155)(145,159)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 83)( 39, 72)( 41, 47)( 42, 87)( 45, 75)( 46, 90)( 49, 55)( 50,102)( 51, 76)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 71)( 66,118)( 69, 74)( 70,122)( 73, 79)( 77, 98)( 78, 94)( 80, 86)( 81,134)
        ( 82,123)( 84, 89)( 85,135)( 88, 93)( 91, 97)( 92,136)( 95,126)( 96,132)( 99,105)(100,146)(101,127)(103,109)
        (104,149)(107,113)(108,150)(111,117)(112,153)(115,121)(116,157)(119,125)(120,140)(124,130)(128,142)(129,138)
        (131,137)(133,141)(139,158)(143,148)(144,155)(145,159)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 83)( 39, 72)( 41, 47)( 42, 84)( 45, 76)( 46, 87)( 49, 55)( 50, 99)( 51, 77)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 71)( 66,115)( 69, 75)( 70,119)( 73, 80)( 74,123)( 78, 95)( 79, 91)( 81, 86)
        ( 82,126)( 85, 90)( 88, 94)( 89,127)( 92,130)( 93,134)( 96,102)( 97,146)( 98,131)(100,106)(101,147)(104,110)
        (105,150)(108,114)(109,154)(112,118)(113,157)(116,122)(117,140)(120,125)(121,136)(124,129)(128,137)(132,142)
        (133,138)(135,141)(139,158)(143,149)(144,152)(145,159)(148,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 34)( 28, 55)( 30, 35)( 33, 59)( 37, 42)
        ( 38, 71)( 40, 46)( 41, 80)( 44, 75)( 45, 83)( 48, 54)( 49, 95)( 50, 76)( 52, 58)( 53, 99)( 56, 62)( 57,103)
        ( 60, 66)( 61,107)( 64, 70)( 65,111)( 68, 74)( 69,115)( 72, 79)( 73,119)( 77, 91)( 78, 87)( 81, 86)( 82,123)
        ( 84, 90)( 85,131)( 88,126)( 89,134)( 92, 98)( 93,146)( 94,127)( 96,102)( 97,149)(100,106)(101,153)(104,110)
        (105,154)(108,114)(109,157)(112,118)(113,140)(116,122)(117,136)(120,125)(121,133)(124,130)(128,142)(129,138)
        (132,137)(135,141)(139,158)(143,148)(144,151)(145,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42, 73)( 45, 76)( 46, 99)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,135)( 74,102)( 78,107)( 79,103)
        ( 81, 86)( 82,139)( 83,123)( 85, 90)( 88, 94)( 89,140)( 92, 98)( 93,142)( 96,109)( 97,146)(100,106)(101,136)
        (104,129)(105,133)(108,114)(110,130)(112,118)(113,147)(116,122)(117,150)(120,126)(121,154)(124,138)(125,157)
        (128,134)(132,137)(141,145)(143,149)(144,158)(148,153)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42, 73)( 45, 76)( 46, 99)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,139)( 74,102)( 78,107)( 79,103)
        ( 81, 86)( 82, 89)( 83,123)( 85, 90)( 88, 94)( 92, 98)( 93,124)( 96,127)( 97,147)(100,106)(101,140)(104,143)
        (105,155)(108,114)(109,133)(110,144)(112,118)(113,129)(116,122)(117,152)(120,126)(121,158)(125,150)(128,134)
        (130,151)(132,138)(136,142)(137,145)(141,157)(146,156)(148,154)(149,159)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,101)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 99)( 74,142)( 78,107)
        ( 79,103)( 81, 86)( 82, 89)( 83,123)( 85, 90)( 88, 94)( 92, 98)( 93,124)( 96,127)( 97,150)(102,106)(104,146)
        (105,143)(108,114)(109,133)(110,147)(112,118)(113,129)(116,122)(117,155)(120,126)(121,158)(125,153)(128,134)
        (130,154)(132,138)(136,141)(137,148)(140,145)(144,149)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,101)( 40, 72)( 42, 47)( 43,103)( 46, 76)( 49, 55)( 50, 70)( 51, 77)( 53, 59)( 54, 66)
        ( 57, 80)( 58, 62)( 61, 67)( 63, 96)( 65, 71)( 69, 75)( 73,100)( 74, 78)( 79,104)( 81, 87)( 82,110)( 83, 97)
        ( 85, 91)( 86,114)( 89, 95)( 90,118)( 93, 99)( 94,122)( 98,106)(102,105)(107,113)(108,130)(109,123)(111,117)
        (112,134)(115,121)(116,138)(119,125)(120,142)(124,126)(127,133)(128,149)(129,143)(131,137)(132,153)(135,141)
        (136,154)(139,145)(140,157)(144,146)(147,152)(148,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 69)( 42, 73)( 43, 70)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,123)( 60, 91)( 62, 68)( 63,127)( 66, 72)( 67,130)( 71, 98)( 75, 99)( 76, 95)( 78, 83)( 79,115)
        ( 81, 86)( 82,139)( 85, 90)( 88, 94)( 89,140)( 92,119)( 93,142)( 96,134)( 97,131)(100,106)(101,147)(102,135)
        (104,110)(105,153)(108,114)(109,154)(112,118)(113,157)(116,138)(117,158)(120,126)(121,136)(122,146)(124,129)
        (125,151)(128,133)(132,152)(137,150)(141,145)(143,149)(144,159)(148,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 69)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 85)( 45, 51)( 46, 96)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 80)( 62, 84)( 66, 92)( 67, 88)( 70, 75)( 71,107)( 73, 79)( 74,124)( 77, 83)( 78,127)( 81,111)
        ( 82,130)( 86, 91)( 87,116)( 89,119)( 90,139)( 93, 99)( 94,149)( 95,120)( 97,103)( 98,150)(101,106)(102,153)
        (105,110)(108,123)(109,154)(112,118)(113,143)(114,134)(117,138)(121,145)(122,141)(125,129)(126,157)(128,133)
        (131,137)(132,158)(135,142)(136,148)(140,144)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 25)(  7, 16)(  9, 20)( 10, 28)( 13, 19)( 14, 40)( 15, 21)
        ( 17, 24)( 18, 44)( 22, 36)( 23, 32)( 26, 31)( 27, 48)( 29, 35)( 30, 57)( 33, 52)( 34, 60)( 37, 43)( 38, 72)
        ( 39, 53)( 41, 47)( 42, 76)( 45, 51)( 46, 77)( 49, 56)( 50, 80)( 54, 68)( 55, 64)( 58, 63)( 59, 84)( 61, 67)
        ( 62, 93)( 65, 88)( 66, 96)( 69, 75)( 70,108)( 71, 89)( 73, 79)( 74,112)( 78, 83)( 81, 87)( 82,113)( 85, 92)
        ( 86,116)( 90,104)( 91,100)( 94, 99)( 95,120)( 97,103)( 98,129)(101,124)(102,132)(105,111)(106,142)(107,125)
        (109,115)(110,146)(114,119)(117,123)(118,147)(121,128)(122,150)(126,139)(127,136)(130,135)(131,153)(133,138)
        (134,160)(137,157)(140,145)(141,158)(143,149)(144,155)(148,152)(151,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 25)(  7, 16)(  9, 20)( 10, 28)( 13, 19)( 14, 40)( 15, 21)
        ( 17, 24)( 18, 44)( 22, 36)( 23, 32)( 26, 31)( 27, 48)( 29, 35)( 30, 57)( 33, 52)( 34, 60)( 37, 43)( 38, 72)
        ( 39, 53)( 41, 47)( 42, 76)( 45, 51)( 46, 80)( 49, 56)( 50, 81)( 54, 68)( 55, 64)( 58, 63)( 59, 84)( 61, 67)
        ( 62, 93)( 65, 88)( 66, 96)( 69, 75)( 70,108)( 71, 89)( 73, 79)( 74,112)( 77, 83)( 78,116)( 82, 87)( 85, 92)
        ( 86,117)( 90,104)( 91,100)( 94, 99)( 95,120)( 97,103)( 98,129)(101,124)(102,132)(105,111)(106,142)(107,125)
        (109,115)(110,146)(113,119)(114,149)(118,123)(121,128)(122,150)(126,139)(127,136)(130,135)(131,153)(133,138)
        (134,160)(137,157)(140,145)(141,158)(143,148)(144,155)(147,152)(151,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 31)( 18, 35)( 19, 63)( 23, 43)( 25, 30)( 26, 51)( 28, 34)( 29, 72)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 67)( 40, 46)( 41, 91)( 44, 50)( 45, 95)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,114)
        ( 58, 79)( 60, 66)( 61,118)( 64, 70)( 65,119)( 68, 83)( 69,122)( 73, 78)( 74,107)( 76, 82)( 77,131)( 80,110)
        ( 81,134)( 84, 90)( 85,143)( 86,126)( 88, 94)( 89,146)( 92, 98)( 93,147)( 96,102)( 97,150)(100,106)(101,154)
        (104,109)(105,158)(108,130)(111,117)(112,128)(113,138)(115,121)(116,124)(120,125)(123,129)(127,142)(132,137)
        (133,159)(135,141)(136,156)(139,145)(140,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 75)( 33, 59)( 34, 78)
        ( 37, 43)( 38, 90)( 39, 68)( 41, 47)( 42, 94)( 45, 71)( 46, 98)( 49, 55)( 50,106)( 51, 72)( 53, 58)( 54,110)
        ( 57, 74)( 60, 66)( 61,118)( 62, 82)( 64, 70)( 65,122)( 69, 86)( 73,102)( 76, 81)( 77,111)( 79, 85)( 80,127)
        ( 83,114)( 84,130)( 87, 93)( 88,142)( 89,123)( 91, 97)( 92,146)( 95,101)( 96,147)( 99,105)(100,150)(103,109)
        (104,154)(107,113)(108,158)(112,126)(115,121)(116,140)(117,134)(119,125)(120,141)(124,138)(128,133)(129,159)
        (131,137)(132,156)(135,144)(136,152)(139,145)(143,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 46)( 12, 21)( 14, 19)
        ( 15, 40)( 16, 32)( 18, 35)( 22, 42)( 23, 38)( 25, 31)( 26, 62)( 27, 50)( 29, 34)( 30, 66)( 33, 54)( 37, 41)
        ( 39, 55)( 43, 49)( 44, 70)( 45, 56)( 47, 53)( 48, 74)( 51, 58)( 52, 78)( 57, 67)( 59, 65)( 60, 90)( 61, 82)
        ( 63, 69)( 64, 94)( 68, 73)( 71, 77)( 72, 95)( 75, 81)( 76, 98)( 79, 85)( 80,102)( 83, 86)( 84,106)( 87, 93)
        ( 88,118)( 89,110)( 91, 97)( 92,122)( 96,101)( 99,105)(100,123)(103,109)(104,126)(107,113)(108,130)(111,114)
        (112,134)(115,121)(116,145)(117,138)(119,125)(120,149)(124,129)(127,133)(128,150)(131,137)(132,153)(135,141)
        (136,154)(139,142)(140,157)(143,148)(144,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 46)( 12, 21)( 14, 19)
        ( 15, 41)( 16, 32)( 18, 36)( 22, 43)( 23, 39)( 25, 31)( 26, 62)( 27, 50)( 29, 35)( 30, 66)( 33, 54)( 34, 70)
        ( 38, 42)( 40, 55)( 44, 49)( 45, 56)( 47, 53)( 48, 75)( 51, 58)( 52, 78)( 57, 74)( 59, 65)( 60, 90)( 61, 82)
        ( 63, 69)( 64, 94)( 67, 73)( 68, 98)( 71, 77)( 72,102)( 76, 81)( 79, 85)( 80,103)( 83, 86)( 84,106)( 87, 93)
        ( 88,118)( 89,110)( 91, 97)( 92,122)( 95,101)( 96,126)( 99,105)(100,130)(104,109)(107,113)(108,131)(111,114)
        (112,134)(115,121)(116,145)(117,138)(119,125)(120,149)(123,129)(124,150)(127,133)(128,153)(132,137)(135,141)
        (136,154)(139,142)(140,157)(143,148)(144,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,115)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,119)( 61, 67)( 62,131)( 63, 87)( 66, 91)( 70,111)( 71,107)( 73, 78)( 74, 81)( 75,123)( 77, 82)
        ( 80, 86)( 84, 90)( 85,124)( 88,127)( 89,138)( 92, 98)( 93,146)( 94,132)( 96,102)( 97,150)(100,106)(101,154)
        (104,110)(105,155)(108,134)(109,152)(112,118)(113,157)(114,135)(117,122)(120,126)(121,158)(125,141)(128,133)
        (129,149)(130,142)(136,143)(137,148)(139,145)(140,159)(144,160)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,120)( 58, 80)( 59,121)( 62, 68)( 63,127)( 64, 95)( 66, 72)( 67,131)( 70, 76)( 71,132)( 74, 99)( 75,135)
        ( 79,115)( 81, 87)( 82,141)( 83,117)( 85, 90)( 86,145)( 89, 94)( 92, 98)( 93,146)( 96,123)( 97,149)(100,106)
        (101,125)(102,138)(104,110)(105,154)(108,114)(109,157)(112,118)(113,144)(116,122)(124,130)(126,153)(128,134)
        (129,139)(133,137)(136,140)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,120)( 58, 80)( 59,121)( 62, 68)( 63,127)( 64, 95)( 66, 72)( 67,131)( 70, 76)( 71,132)( 74, 99)( 75,135)
        ( 79,115)( 81, 87)( 82,141)( 83,117)( 85, 91)( 86,145)( 89, 94)( 90,149)( 93, 98)( 96,123)( 97,150)(100,106)
        (101,125)(102,138)(104,110)(105,154)(108,114)(109,157)(112,118)(113,144)(116,122)(124,130)(126,153)(128,134)
        (129,139)(133,137)(136,140)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,121)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,134)( 73, 99)( 74,135)( 78,119)
        ( 79,115)( 81, 87)( 82,141)( 83,117)( 85, 90)( 86,145)( 89, 94)( 92, 98)( 93,146)( 96,123)( 97,149)(100,106)
        (101,125)(102,138)(104,110)(105,154)(108,114)(109,157)(112,118)(113,144)(116,122)(124,130)(126,153)(128,133)
        (129,139)(132,137)(136,140)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,121)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,134)( 73, 99)( 74,135)( 78,119)
        ( 79,115)( 81, 87)( 82,141)( 83,117)( 85, 91)( 86,145)( 89, 94)( 90,149)( 93, 98)( 96,123)( 97,150)(100,106)
        (101,125)(102,138)(104,110)(105,154)(108,114)(109,157)(112,118)(113,144)(116,122)(124,130)(126,153)(128,133)
        (129,139)(132,137)(136,140)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,120)( 52, 77)( 54, 59)
        ( 57, 80)( 58,121)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,134)( 73, 99)( 74,137)( 78,119)
        ( 79,115)( 81, 87)( 82,141)( 83,117)( 85, 90)( 86,145)( 89, 94)( 92, 98)( 93,146)( 96,123)( 97,149)(100,106)
        (101,125)(102,138)(104,110)(105,154)(108,114)(109,157)(112,118)(113,144)(116,122)(124,130)(126,153)(128,133)
        (129,139)(132,136)(135,140)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,120)( 52, 77)( 54, 59)
        ( 57, 80)( 58,121)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,134)( 73, 99)( 74,137)( 78,119)
        ( 79,115)( 81, 87)( 82,141)( 83,117)( 85, 91)( 86,145)( 89, 94)( 90,149)( 93, 98)( 96,123)( 97,150)(100,106)
        (101,125)(102,138)(104,110)(105,154)(108,114)(109,157)(112,118)(113,144)(116,122)(124,130)(126,153)(128,133)
        (129,139)(132,136)(135,140)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,116)( 61, 67)( 62,122)( 63, 87)( 66, 91)( 70,107)( 71,104)( 73, 79)( 74,130)( 75,113)( 77, 82)
        ( 78,134)( 81, 86)( 84, 90)( 85,135)( 88,118)( 89,138)( 92, 98)( 93,147)( 94,123)( 96,102)( 97,149)(100,106)
        (101,153)(105,126)(108,114)(109,133)(110,127)(112,117)(119,125)(120,151)(121,142)(124,146)(128,157)(129,154)
        (131,137)(132,158)(136,141)(139,145)(140,159)(143,155)(144,160)(148,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,116)( 61, 67)( 62,122)( 63, 87)( 66, 91)( 70,107)( 71,104)( 73, 79)( 74,130)( 75,113)( 77, 83)
        ( 78,134)( 81, 86)( 82,138)( 85, 90)( 88,118)( 89,139)( 92, 98)( 93,147)( 94,123)( 96,102)( 97,149)(100,106)
        (101,153)(105,126)(108,114)(109,133)(110,127)(112,117)(119,125)(120,151)(121,142)(124,146)(128,157)(129,154)
        (131,137)(132,158)(135,141)(136,159)(140,145)(143,155)(144,160)(148,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,102)( 46, 72)( 47,106)( 51, 56)( 52, 73)( 54, 76)( 55,115)
        ( 58, 63)( 59,125)( 60, 91)( 62, 67)( 65, 71)( 66,126)( 69, 95)( 70,127)( 74,114)( 75,110)( 77, 83)( 78,133)
        ( 79,117)( 81, 86)( 82,137)( 85, 90)( 88, 94)( 89,138)( 92,121)( 93,141)( 96,101)( 97,149)( 98,123)(100,105)
        (103,109)(104,150)(107,113)(108,153)(111,119)(112,132)(116,120)(118,129)(122,128)(124,145)(130,136)(131,154)
        (134,140)(135,157)(139,144)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,102)( 46, 72)( 47,106)( 51, 56)( 52, 73)( 54, 76)( 55,115)
        ( 58, 63)( 59,125)( 60, 91)( 62, 67)( 65, 71)( 66,126)( 69, 95)( 70,127)( 74,114)( 75,110)( 77, 83)( 78,133)
        ( 79,117)( 81, 87)( 82,137)( 85, 90)( 86,141)( 89, 94)( 92,121)( 93,142)( 96,101)( 97,149)( 98,123)(100,105)
        (103,109)(104,150)(107,113)(108,153)(111,119)(112,132)(116,120)(118,129)(122,128)(124,145)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,102)( 46, 52)( 47,106)( 50, 56)( 51,110)( 54, 60)( 55,114)
        ( 58, 76)( 59,115)( 62, 67)( 63,125)( 64, 91)( 66, 71)( 69, 75)( 70,126)( 73, 95)( 74,127)( 77, 83)( 78,133)
        ( 79,118)( 81, 87)( 82,137)( 85, 90)( 86,141)( 89, 94)( 92,121)( 93,142)( 96,101)( 97,149)( 98,123)(100,105)
        (103,109)(104,150)(107,113)(108,153)(111,117)(112,132)(116,120)(119,129)(122,128)(124,145)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 76)
        ( 58,108)( 61, 67)( 62,118)( 63, 91)( 65, 71)( 66,119)( 69, 75)( 70,122)( 73, 95)( 74,125)( 77, 83)( 78,137)
        ( 79,111)( 81, 86)( 82,141)( 85, 90)( 88, 94)( 89,142)( 92,114)( 93,145)( 97,102)( 98,129)(100,106)(101,154)
        (104,110)(105,136)(109,113)(112,133)(115,121)(116,127)(117,149)(120,124)(123,128)(126,132)(130,153)(131,150)
        (134,140)(135,155)(138,144)(139,158)(143,148)(146,152)(147,159)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 76)
        ( 58,108)( 61, 67)( 62,118)( 63, 91)( 65, 71)( 66,119)( 69, 75)( 70,122)( 73, 95)( 74,125)( 77, 83)( 78,137)
        ( 79,111)( 81, 87)( 82,141)( 85, 90)( 86,145)( 89, 94)( 92,114)( 93,146)( 97,102)( 98,129)(100,106)(101,154)
        (104,110)(105,136)(109,113)(112,133)(115,121)(116,127)(117,149)(120,124)(123,128)(126,132)(130,153)(131,150)
        (134,140)(135,155)(138,144)(139,158)(142,148)(143,159)(147,152)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,102)( 46, 72)( 47,106)( 51, 56)( 52, 73)( 54, 76)( 55,115)
        ( 58, 64)( 59,125)( 60, 91)( 62, 67)( 63,126)( 66, 71)( 69, 95)( 70,127)( 74,114)( 75,110)( 77, 83)( 78,133)
        ( 79,118)( 81, 86)( 82,137)( 85, 90)( 88, 94)( 89,138)( 92,121)( 93,141)( 96,101)( 97,149)( 98,123)(100,105)
        (103,109)(104,150)(107,113)(108,153)(111,117)(112,132)(116,120)(119,129)(122,128)(124,145)(130,136)(131,154)
        (134,140)(135,157)(139,144)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,102)( 46, 72)( 47,106)( 51, 56)( 52, 73)( 54, 76)( 55,115)
        ( 58, 64)( 59,125)( 60, 91)( 62, 67)( 63,126)( 66, 71)( 69, 95)( 70,127)( 74,114)( 75,110)( 77, 83)( 78,133)
        ( 79,118)( 81, 87)( 82,137)( 85, 90)( 86,141)( 89, 94)( 92,121)( 93,142)( 96,101)( 97,149)( 98,123)(100,105)
        (103,109)(104,150)(107,113)(108,153)(111,117)(112,132)(116,120)(119,129)(122,128)(124,145)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,102)( 46, 52)( 47,106)( 50, 56)( 51,110)( 54, 60)( 55,114)
        ( 58, 76)( 59,117)( 62, 68)( 63,125)( 64, 91)( 66, 71)( 67,126)( 70, 75)( 73, 95)( 74,127)( 77, 83)( 78,133)
        ( 79,118)( 81, 87)( 82,137)( 85, 90)( 86,141)( 89, 94)( 92,121)( 93,142)( 96,101)( 97,149)( 98,123)(100,105)
        (103,109)(104,150)(107,113)(108,153)(111,116)(112,132)(115,120)(119,129)(122,128)(124,145)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 76)
        ( 58,110)( 61, 67)( 62,118)( 63, 91)( 65, 71)( 66,121)( 69, 75)( 70,122)( 73, 95)( 74,125)( 77, 83)( 78,137)
        ( 79,111)( 81, 86)( 82,141)( 85, 90)( 88, 94)( 89,142)( 92,114)( 93,145)( 97,102)( 98,129)(100,106)(101,154)
        (104,109)(105,136)(108,113)(112,133)(115,120)(116,127)(117,149)(119,124)(123,128)(126,132)(130,153)(131,150)
        (134,140)(135,155)(138,144)(139,158)(143,148)(146,152)(147,159)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 76)
        ( 58,110)( 61, 67)( 62,118)( 63, 91)( 65, 71)( 66,121)( 69, 75)( 70,122)( 73, 95)( 74,125)( 77, 83)( 78,137)
        ( 79,111)( 81, 87)( 82,141)( 85, 90)( 86,145)( 89, 94)( 92,114)( 93,146)( 97,102)( 98,129)(100,106)(101,154)
        (104,109)(105,136)(108,113)(112,133)(115,120)(116,127)(117,149)(119,124)(123,128)(126,132)(130,153)(131,150)
        (134,140)(135,155)(138,144)(139,158)(142,148)(143,159)(147,152)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 61)( 41, 47)( 42, 95)( 45, 64)( 46, 99)( 49, 55)( 50,110)( 51, 65)( 54, 68)( 57, 63)
        ( 58,118)( 59, 83)( 62, 87)( 66,107)( 67,103)( 69, 75)( 70,126)( 71,111)( 73, 79)( 74,130)( 77, 82)( 78,134)
        ( 81, 86)( 84,114)( 85,135)( 88, 94)( 89,143)( 90,119)( 92, 98)( 93,145)( 96,102)( 97,149)(100,106)(101,153)
        (104,109)(105,125)(108,113)(112,122)(115,121)(116,147)(117,138)(120,142)(123,129)(124,154)(127,133)(128,157)
        (131,137)(132,158)(136,141)(139,151)(140,159)(144,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,118)( 52, 73)( 55, 76)
        ( 58, 64)( 59, 98)( 60, 91)( 62, 67)( 63, 70)( 66, 71)( 69, 95)( 74,115)( 75,111)( 77, 83)( 78,130)( 79,119)
        ( 81, 86)( 82,134)( 85, 90)( 88, 94)( 89,135)( 92,122)( 93,138)( 96,102)( 97,123)(100,106)(101,146)(104,110)
        (105,149)(108,114)(109,153)(112,117)(113,129)(116,121)(120,126)(124,148)(125,142)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,145)(140,158)(143,151)(144,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 60)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 50)( 30, 36)( 31, 80)( 34, 53)
        ( 35, 83)( 39, 44)( 40, 64)( 42, 68)( 43, 92)( 46, 52)( 47,102)( 48, 69)( 51, 72)( 54, 59)( 55,110)( 56, 87)
        ( 58, 63)( 61, 67)( 62,111)( 65, 91)( 66,114)( 70, 98)( 71, 95)( 73, 79)( 74,130)( 75,103)( 77, 82)( 78,134)
        ( 81, 86)( 84, 90)( 85,135)( 88,106)( 89,138)( 93, 97)( 94,118)( 96,122)( 99,105)(100,129)(101,123)(104,126)
        (107,113)(108,154)(109,142)(112,117)(115,121)(116,155)(119,125)(120,152)(124,146)(127,133)(128,147)(131,137)
        (132,157)(136,141)(139,145)(140,158)(143,150)(144,159)(148,160)(149,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 60)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 50)( 30, 36)( 31, 80)( 34, 53)
        ( 35, 84)( 39, 44)( 40, 64)( 42, 68)( 43, 92)( 46, 52)( 47,102)( 48, 69)( 51, 72)( 54, 59)( 55,110)( 56, 87)
        ( 58, 63)( 61, 67)( 62,111)( 65, 91)( 66,114)( 70, 98)( 71, 95)( 73, 79)( 74,130)( 75,103)( 77, 83)( 78,134)
        ( 81, 86)( 82,138)( 85, 90)( 88,106)( 89,139)( 93, 97)( 94,118)( 96,122)( 99,105)(100,129)(101,123)(104,126)
        (107,113)(108,154)(109,142)(112,117)(115,121)(116,155)(119,125)(120,152)(124,146)(127,133)(128,147)(131,137)
        (132,157)(135,141)(136,158)(140,145)(143,150)(144,159)(148,160)(149,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 61)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 50, 68)( 51, 65)( 53, 59)( 54,116)( 55, 84)
        ( 57, 63)( 58,119)( 62, 88)( 66,108)( 67,104)( 69, 75)( 70,126)( 71,109)( 73, 79)( 74,130)( 77, 83)( 78,134)
        ( 81, 87)( 82,135)( 85,112)( 86,138)( 89, 95)( 90,114)( 91,120)( 93, 99)( 94,143)( 97,103)( 98,146)(101,107)
        (102,150)(105,111)(106,125)(110,122)(113,118)(115,142)(117,121)(123,129)(124,151)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 93)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,118)( 59, 88)( 61, 67)( 62,119)( 65, 71)( 66,120)( 69, 92)( 70,116)( 73, 79)( 74,130)( 75,111)( 77, 83)
        ( 78,134)( 81, 87)( 82,138)( 85, 91)( 86,139)( 89,114)( 90,142)( 94, 99)( 95,122)( 97,103)( 98,147)(101,107)
        (102,150)(105,110)(106,129)(109,113)(112,126)(115,121)(117,125)(123,146)(124,143)(127,133)(128,151)(131,137)
        (132,158)(135,141)(136,156)(140,145)(144,157)(148,153)(149,154)(152,160)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 65)( 41, 47)( 42,100)( 45, 68)( 46,104)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,117)( 61, 67)( 62,123)( 63, 88)( 66, 92)( 70,108)( 71,105)( 73, 79)( 74,130)( 75,114)( 77, 83)
        ( 78,134)( 81, 87)( 82,135)( 85, 91)( 86,138)( 89,119)( 90,142)( 93, 99)( 94,121)( 95,124)( 97,103)( 98,147)
        (101,107)(102,150)(106,126)(109,115)(110,133)(111,127)(113,118)(120,125)(122,146)(128,154)(129,151)(131,137)
        (132,155)(136,141)(139,145)(140,156)(143,149)(144,160)(148,153)(152,158)(157,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 38, 43)( 39, 68)( 41, 47)( 42, 97)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 92)( 61, 67)( 62,120)( 65, 71)( 66,117)( 69, 96)( 70,122)( 74,108)( 75,104)( 77, 83)( 78,134)
        ( 79,111)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93,115)( 94,146)( 98,103)( 99,126)(101,107)
        (102,151)(105,113)(106,133)(110,114)(112,130)(116,121)(118,125)(123,129)(124,147)(127,150)(128,154)(131,137)
        (132,152)(135,141)(136,159)(139,145)(140,156)(144,149)(148,157)(153,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 38, 43)( 39, 68)( 41, 47)( 42, 97)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 92)( 61, 67)( 62,120)( 65, 71)( 66,117)( 69, 96)( 70,122)( 74,108)( 75,104)( 77, 83)( 78,134)
        ( 79,112)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93,115)( 94,146)( 98,103)( 99,126)(101,107)
        (102,151)(105,111)(106,133)(110,114)(113,130)(116,121)(118,125)(123,129)(124,147)(127,150)(128,154)(131,137)
        (132,152)(135,141)(136,159)(139,145)(140,156)(144,149)(148,157)(153,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 20)(  4,  9)(  6, 12)(  7, 28)(  8, 14)( 10, 16)( 11, 32)( 15, 24)( 17, 23)
        ( 18, 44)( 19, 36)( 21, 27)( 22, 48)( 25, 31)( 26, 52)( 29, 35)( 30, 56)( 33, 39)( 34, 60)( 37, 40)( 38, 64)
        ( 41, 47)( 42, 76)( 43, 68)( 45, 51)( 46, 80)( 49, 55)( 50, 84)( 53, 59)( 54, 88)( 57, 63)( 58, 91)( 61, 67)
        ( 62, 95)( 65, 71)( 66, 99)( 69, 72)( 70,103)( 73, 79)( 74,114)( 75,107)( 77, 83)( 78,118)( 81, 87)( 82,122)
        ( 85, 90)( 86,126)( 89, 94)( 92, 98)( 93,127)( 96,102)( 97,130)(100,106)(101,134)(104,110)(105,138)(108,111)
        (109,142)(112,117)(113,146)(115,121)(116,150)(119,125)(120,153)(123,129)(124,157)(128,133)(131,137)(132,158)
        (135,141)(136,159)(139,145)(140,155)(143,148)(144,152)(147,149)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 20)(  4,  9)(  6, 12)(  7, 28)(  8, 14)( 10, 16)( 11, 32)( 15, 24)( 17, 23)
        ( 18, 44)( 19, 36)( 21, 27)( 22, 48)( 25, 31)( 26, 52)( 29, 35)( 30, 56)( 33, 39)( 34, 60)( 37, 40)( 38, 64)
        ( 41, 47)( 42, 76)( 43, 68)( 45, 51)( 46, 80)( 49, 55)( 50, 84)( 53, 59)( 54, 88)( 57, 63)( 58, 92)( 61, 67)
        ( 62, 95)( 65, 71)( 66, 99)( 69, 72)( 70,103)( 73, 79)( 74,114)( 75,107)( 77, 83)( 78,118)( 81, 87)( 82,122)
        ( 85, 91)( 86,126)( 89, 94)( 90,130)( 93, 98)( 96,102)( 97,131)(100,106)(101,134)(104,110)(105,138)(108,111)
        (109,142)(112,117)(113,146)(115,121)(116,150)(119,125)(120,153)(123,129)(124,157)(127,133)(128,158)(132,137)
        (135,141)(136,159)(139,145)(140,155)(143,148)(144,152)(147,149)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 73)( 33, 56)( 34, 76)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 92)( 45, 51)( 46, 96)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 80)( 61, 67)( 62, 87)( 66, 84)( 69, 75)( 70,123)( 71,108)( 74, 79)( 77, 83)( 78,124)( 81,111)
        ( 82,127)( 85, 91)( 86,116)( 89, 95)( 90,135)( 93, 99)( 94,139)( 97,103)( 98,143)(101,107)(102,147)(105,110)
        (106,151)(109,119)(112,118)(113,137)(114,131)(117,138)(120,126)(121,154)(122,152)(125,130)(128,134)(129,155)
        (132,141)(133,158)(136,142)(140,146)(144,150)(145,159)(148,153)(149,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 81)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 55)( 51, 73)( 53, 59)( 54,113)
        ( 57, 76)( 58,116)( 61, 67)( 62,128)( 63, 88)( 65, 71)( 66,131)( 70, 92)( 74,112)( 75,108)( 77, 83)( 78,142)
        ( 79,120)( 82, 87)( 85, 91)( 86,143)( 89,124)( 90,146)( 93, 99)( 94,126)( 95,132)( 97,103)( 98,151)(101,107)
        (102,154)(105,111)(106,157)(109,134)(110,141)(114,119)(115,135)(117,123)(118,136)(121,138)(122,137)(125,130)
        (127,150)(129,133)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 55)( 51, 73)( 53, 59)( 54,113)
        ( 57, 76)( 58,116)( 61, 67)( 62,128)( 63, 88)( 65, 71)( 66,131)( 70, 92)( 74,112)( 75,108)( 77, 83)( 78,142)
        ( 79,120)( 81, 87)( 82,146)( 86, 91)( 89,124)( 90,147)( 93, 99)( 94,126)( 95,132)( 97,103)( 98,151)(101,107)
        (102,154)(105,111)(106,158)(109,134)(110,141)(114,119)(115,135)(117,123)(118,136)(121,138)(122,137)(125,130)
        (127,150)(129,133)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,119)( 52, 76)( 54, 60)
        ( 55,120)( 58, 79)( 59,123)( 62, 67)( 63,134)( 64, 91)( 66, 71)( 69, 74)( 70,135)( 73, 95)( 77,115)( 78,111)
        ( 80, 86)( 81,142)( 82,126)( 85, 90)( 88, 94)( 89,143)( 92,130)( 93,146)( 96,102)( 97,132)( 98,136)(100,106)
        (101,151)(104,110)(105,154)(108,114)(109,157)(112,118)(113,141)(116,122)(117,128)(121,125)(124,129)(127,138)
        (131,137)(133,150)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,119)( 52, 76)( 54, 60)
        ( 55,120)( 58, 79)( 59,123)( 62, 67)( 63,134)( 64, 91)( 66, 71)( 69, 74)( 70,135)( 73, 95)( 77,115)( 78,111)
        ( 80, 86)( 81,142)( 82,126)( 84, 90)( 85,146)( 89, 94)( 92,130)( 93,147)( 96,102)( 97,132)( 98,136)(100,106)
        (101,151)(104,110)(105,154)(108,114)(109,158)(112,118)(113,141)(116,122)(117,128)(121,125)(124,129)(127,138)
        (131,137)(133,150)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,123)( 62, 67)( 63,134)( 64, 92)( 66, 71)( 69, 75)( 70,135)( 73, 96)( 74,136)( 78,115)
        ( 79,111)( 81, 87)( 82,142)( 83,126)( 86, 91)( 89, 95)( 90,143)( 93,130)( 94,146)( 97,102)( 98,132)(100,106)
        (101,151)(104,110)(105,154)(108,114)(109,157)(112,118)(113,141)(116,121)(117,128)(120,125)(124,129)(127,138)
        (131,137)(133,150)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,123)( 62, 67)( 63,134)( 64, 92)( 66, 71)( 69, 75)( 70,135)( 73, 96)( 74,136)( 78,115)
        ( 79,111)( 81, 87)( 82,142)( 83,126)( 85, 91)( 86,146)( 90, 95)( 93,130)( 94,147)( 97,102)( 98,132)(100,106)
        (101,151)(104,110)(105,154)(108,114)(109,158)(112,118)(113,141)(116,121)(117,128)(120,125)(124,129)(127,138)
        (131,137)(133,150)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,116)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 71)( 67,132)( 70, 75)( 73, 96)( 74,133)( 78,115)
        ( 79,111)( 81, 87)( 82,142)( 83,123)( 86, 91)( 89, 95)( 90,143)( 93,127)( 94,146)( 97,102)( 98,129)(100,106)
        (101,151)(104,110)(105,154)(108,114)(109,157)(112,135)(113,141)(117,122)(118,136)(121,126)(124,138)(125,137)
        (128,134)(130,150)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,116)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 71)( 67,132)( 70, 75)( 73, 96)( 74,133)( 78,115)
        ( 79,111)( 81, 87)( 82,142)( 83,123)( 85, 91)( 86,146)( 90, 95)( 93,127)( 94,147)( 97,102)( 98,129)(100,106)
        (101,151)(104,110)(105,154)(108,114)(109,158)(112,135)(113,141)(117,122)(118,136)(121,126)(124,138)(125,137)
        (128,134)(130,150)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 42)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 83)( 38, 43)( 39, 47)( 40, 68)( 45, 51)( 46, 92)( 49, 55)( 50, 95)( 53, 72)( 54, 99)( 57, 63)( 58,110)
        ( 59, 87)( 61, 67)( 62,113)( 65, 71)( 66,117)( 69, 91)( 70,121)( 73, 79)( 74,133)( 75,103)( 77, 82)( 78,137)
        ( 81, 86)( 84, 90)( 85,138)( 88,106)( 89,141)( 93, 98)( 94,125)( 96,102)( 97,150)(100,105)(101,132)(104,129)
        (107,112)(108,115)(109,145)(111,116)(114,120)(118,124)(119,146)(122,128)(123,153)(126,149)(127,154)(130,136)
        (131,151)(134,140)(135,158)(139,144)(142,148)(143,159)(147,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 74)( 27, 55)( 29, 35)( 30, 78)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 91)( 39, 64)( 41, 46)( 44, 67)( 45, 92)( 48, 54)( 49, 98)( 50, 68)( 52, 58)( 53,102)( 56, 70)
        ( 57,106)( 60, 66)( 61, 96)( 62, 86)( 65, 90)( 69, 94)( 71, 77)( 72,117)( 73,110)( 75, 81)( 76,121)( 79, 85)
        ( 80,125)( 83, 89)( 84,129)( 87,100)( 88,133)( 93, 97)( 95,101)( 99,105)(103,109)(104,134)(107,113)(108,137)
        (111,114)(112,141)(115,120)(116,145)(118,124)(119,150)(122,128)(123,151)(126,132)(127,153)(130,136)(131,157)
        (135,140)(138,144)(139,158)(142,148)(143,159)(146,149)(147,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 47)( 24, 43)( 26, 32)( 27, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 39, 67)( 41, 46)( 44, 71)( 45, 68)( 48, 54)( 49, 98)( 50, 72)( 52, 58)( 53,102)( 56, 74)
        ( 57,106)( 60, 66)( 61, 96)( 62, 90)( 65, 70)( 69, 97)( 73, 94)( 75, 81)( 76,118)( 77,110)( 79, 85)( 80,121)
        ( 83, 89)( 84,125)( 87, 93)( 88,129)( 91,100)( 92,133)( 95,101)( 99,105)(103,109)(104,134)(107,113)(108,137)
        (111,114)(112,141)(115,120)(116,150)(117,145)(119,124)(122,128)(123,151)(126,132)(127,153)(130,136)(131,157)
        (135,140)(138,144)(139,158)(142,148)(143,159)(146,149)(147,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,112)( 61, 67)( 62,122)( 63, 87)( 66, 91)( 70,103)( 71,100)( 73, 79)( 74,134)( 75,115)( 77, 82)
        ( 78,138)( 81, 86)( 84, 90)( 85,139)( 88,118)( 89,142)( 93, 98)( 94,123)( 96,102)( 97,151)(101,126)(104,110)
        (105,154)(106,127)(108,114)(109,133)(113,117)(116,130)(119,125)(120,153)(121,146)(124,150)(128,147)(129,152)
        (131,137)(132,155)(135,141)(136,158)(140,145)(143,149)(144,159)(148,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,114)( 61, 67)( 62,122)( 63, 91)( 66, 71)( 69, 95)( 70,123)( 74,103)( 75,100)( 77, 83)( 78,138)
        ( 79,115)( 81, 86)( 82,142)( 85, 90)( 88, 94)( 89,143)( 92,118)( 93,146)( 97,102)( 98,126)(101,130)(104,110)
        (105,154)(106,131)(108,113)(109,137)(112,117)(116,134)(119,125)(120,128)(121,150)(124,129)(127,133)(132,151)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 68)
        ( 58,111)( 61, 67)( 62, 90)( 63, 83)( 66, 87)( 69, 75)( 70,123)( 71,112)( 73, 78)( 74,127)( 77, 82)( 80, 86)
        ( 81,128)( 84,115)( 85,131)( 88, 94)( 89,116)( 92, 98)( 93,139)( 96,102)( 97,140)(100,106)(101,143)(104,110)
        (105,147)(108,114)(109,151)(113,119)(117,142)(118,135)(120,126)(121,154)(122,152)(124,130)(125,158)(129,134)
        (132,138)(133,159)(136,145)(137,156)(141,146)(144,150)(148,153)(149,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 58)( 22, 47)( 23, 43)( 25, 31)( 26, 74)( 27, 48)( 29, 35)( 30, 78)( 33, 51)( 34, 82)
        ( 37, 42)( 38, 62)( 40, 46)( 41, 91)( 44, 66)( 45, 94)( 49, 70)( 50, 67)( 52, 57)( 53,110)( 54, 86)( 56, 61)
        ( 59, 65)( 60,111)( 63, 90)( 64,108)( 68,102)( 69, 98)( 71, 77)( 72,125)( 73,103)( 75, 81)( 76,129)( 79, 85)
        ( 80,130)( 83, 89)( 84,133)( 87,106)( 88,137)( 92, 97)( 93,113)( 95,101)( 96,142)( 99,117)(100,145)(104,121)
        (105,118)(107,112)(109,116)(114,141)(115,138)(119,124)(120,146)(122,128)(123,154)(126,132)(127,157)(131,136)
        (134,140)(135,158)(139,152)(143,148)(144,149)(147,153)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58, 66)( 59, 84)( 62, 67)( 65, 88)( 69, 75)( 70,118)( 71,111)( 73, 79)( 74,122)( 77, 83)( 78,123)( 81, 87)
        ( 82,126)( 85, 91)( 86,130)( 89, 94)( 90,134)( 93, 98)( 96,102)( 97,135)(100,106)(101,138)(104,110)(105,142)
        (108,113)(109,146)(112,114)(115,121)(116,149)(117,147)(119,125)(120,153)(124,129)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,145)(140,158)(143,148)(144,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 43, 73)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,127)( 60, 92)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 96)( 71,139)( 75,104)( 76,101)( 78, 83)
        ( 79,120)( 81, 87)( 82,147)( 85, 91)( 86,150)( 89, 95)( 90,154)( 93,123)( 94,158)( 97,103)( 98,129)( 99,142)
        (102,125)(105,111)(106,159)(107,126)(109,115)(110,156)(113,119)(114,152)(117,122)(118,149)(121,146)(124,130)
        (128,134)(132,138)(133,143)(136,141)(137,144)(140,145)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,102)( 40, 72)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 56)( 51,118)( 52, 77)( 54, 59)
        ( 55,122)( 58, 80)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 99)( 74,136)( 78,114)
        ( 79,111)( 81, 86)( 82,123)( 84, 90)( 85,143)( 88, 94)( 89,146)( 92, 98)( 93,150)( 96,126)( 97,154)(100,105)
        (101,132)(103,109)(104,128)(107,113)(108,158)(112,138)(115,121)(116,148)(117,139)(119,125)(120,145)(124,142)
        (127,133)(129,157)(131,137)(140,152)(141,159)(144,149)(147,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,100)( 46, 52)( 47,104)( 50, 56)( 51,108)( 54, 60)( 55,112)
        ( 58, 77)( 59,116)( 62, 68)( 63,124)( 64, 92)( 66, 72)( 67,128)( 70, 76)( 71,129)( 74, 96)( 75,126)( 78, 83)
        ( 79,117)( 81, 87)( 82,132)( 85, 91)( 86,135)( 89, 95)( 90,139)( 93,120)( 94,143)( 98,103)( 99,122)(101,107)
        (102,147)(105,111)(106,150)(109,115)(110,154)(113,119)(114,158)(118,131)(121,127)(123,146)(125,130)(133,138)
        (134,159)(136,142)(137,156)(140,145)(141,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,101)( 40, 72)( 42, 47)( 43,104)( 46, 76)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,130)( 63, 96)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73,100)( 74,136)( 78,108)
        ( 79,105)( 81, 87)( 82,142)( 83,123)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93, 99)( 94,150)( 97,126)( 98,153)
        (102,107)(103,132)(106,128)(109,115)(110,154)(111,129)(113,119)(114,157)(117,122)(118,141)(121,125)(124,138)
        (127,133)(131,137)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 67)( 42, 48)( 43, 97)( 46, 69)( 47,101)( 50, 56)( 51,112)( 52, 70)( 54, 60)
        ( 55,116)( 58, 73)( 59,119)( 62, 68)( 63, 96)( 64, 89)( 71,108)( 72,105)( 74, 80)( 75,138)( 76,122)( 78, 84)
        ( 79,141)( 82, 88)( 83,145)( 86, 92)( 87,146)( 90,126)( 91,149)( 94,100)( 95,127)( 98,104)( 99,128)(102,107)
        (103,154)(106,130)(109,115)(110,137)(111,131)(113,118)(114,124)(117,121)(120,125)(123,134)(129,153)(132,157)
        (133,155)(135,140)(136,158)(139,144)(142,148)(143,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)(119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 63)( 42, 48)( 43, 96)( 46, 68)( 47, 99)( 50, 56)( 51,111)( 52, 69)( 54, 60)
        ( 55,115)( 58, 72)( 59,118)( 62, 67)( 64, 88)( 70,107)( 71,103)( 73, 79)( 74,134)( 75,122)( 77, 83)( 78,135)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 98)( 94,149)( 97,102)(100,106)(101,150)(104,126)
        (105,153)(108,114)(109,124)(110,127)(112,117)(113,120)(116,121)(119,125)(123,130)(128,133)(129,154)(131,137)
        (132,158)(136,141)(139,144)(140,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39,103)( 40, 71)( 42, 47)( 45, 75)( 46,104)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 66)( 62, 69)( 63, 95)( 65, 70)( 68, 74)( 72, 99)( 73, 96)( 77,111)( 78,107)( 80, 86)
        ( 81,138)( 82,122)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92, 98)( 93,146)( 97,129)(100,106)(101,153)(102,126)
        (105,110)(108,130)(109,154)(113,117)(114,131)(116,121)(119,125)(120,132)(123,134)(124,158)(127,149)(128,147)
        (133,157)(135,140)(136,151)(137,159)(139,144)(142,148)(143,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39,103)( 40, 71)( 42, 47)( 45, 75)( 46,104)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 66)( 62, 69)( 63, 95)( 65, 70)( 68, 74)( 72, 99)( 73, 96)( 77,111)( 78,107)( 80, 86)
        ( 81,138)( 82,123)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92, 98)( 93,146)( 97,129)(100,106)(101,153)(102,126)
        (105,110)(108,130)(109,154)(113,118)(114,131)(116,122)(117,132)(120,125)(121,158)(124,134)(127,149)(128,147)
        (133,157)(135,140)(136,151)(137,159)(139,144)(142,148)(143,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 50)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 36)( 22, 46)( 23, 42)( 25, 31)( 26, 74)( 27, 54)( 29, 35)( 30, 78)( 33, 58)( 34, 82)
        ( 37, 41)( 38, 63)( 40, 45)( 43, 66)( 44, 64)( 47, 53)( 48, 94)( 49, 67)( 51, 57)( 52, 98)( 55, 70)( 56,102)
        ( 59, 65)( 60, 69)( 61, 86)( 68, 90)( 71, 77)( 72,114)( 73,106)( 75, 81)( 76,118)( 79, 85)( 80,122)( 83, 89)
        ( 84,126)( 87, 93)( 88,127)( 91, 97)( 92,130)( 95,101)( 96,134)( 99,105)(100,137)(103,109)(104,141)(107,110)
        (108,145)(111,117)(112,150)(113,146)(115,121)(116,151)(119,125)(120,153)(123,129)(124,157)(128,133)(131,136)
        (132,158)(135,140)(138,144)(139,159)(142,148)(143,155)(147,149)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,123)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,139)( 64, 97)( 66, 72)( 67,140)( 70, 76)( 71,117)( 74,101)( 75,113)
        ( 79,119)( 80,115)( 82, 88)( 83,144)( 84,135)( 86, 92)( 87,146)( 90, 96)( 91,150)( 94,100)( 95,154)( 98,121)
        ( 99,158)(102,106)(103,109)(105,110)(108,114)(112,118)(116,141)(120,126)(122,142)(124,130)(125,159)(128,134)
        (129,156)(132,138)(133,152)(136,143)(137,148)(145,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,126)( 58, 80)( 59,130)( 62, 67)( 63, 96)( 65, 71)( 66,139)( 69, 75)( 70,116)( 73,100)( 74,112)( 78,118)
        ( 79,114)( 81, 87)( 82,143)( 83,134)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,138)( 98,157)
        (101,105)(102,108)(104,109)(107,113)(111,117)(115,140)(119,125)(120,158)(121,141)(123,129)(124,159)(127,133)
        (128,155)(131,137)(132,151)(135,142)(136,147)(144,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 32)( 18, 36)( 19, 66)( 23, 46)( 24, 42)( 26, 31)( 27, 54)( 29, 35)( 30, 79)( 33, 58)( 34, 82)
        ( 37, 41)( 38, 70)( 40, 45)( 43, 74)( 44, 71)( 47, 53)( 48, 98)( 49, 75)( 51, 57)( 52,101)( 55, 78)( 56,105)
        ( 59, 65)( 60,117)( 61, 86)( 63, 69)( 64,118)( 67, 73)( 68,121)( 72, 93)( 76, 94)( 77, 90)( 80, 85)( 81,109)
        ( 83, 89)( 84,130)( 87,113)( 88,133)( 91,125)( 92,122)( 95,100)( 96,149)( 97,126)( 99,104)(102,108)(103,150)
        (106,112)(107,153)(110,129)(111,157)(114,120)(115,143)(116,137)(119,124)(123,144)(127,145)(128,141)(131,136)
        (132,158)(134,140)(135,159)(138,147)(139,155)(142,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 43, 73)( 46, 52)( 47,109)( 48, 74)( 50, 56)( 51,113)( 54, 77)( 55,117)
        ( 58, 64)( 59, 99)( 60, 93)( 62, 68)( 63,125)( 66, 72)( 67,128)( 70, 97)( 71,129)( 75,105)( 76,102)( 78, 84)
        ( 79,132)( 80,121)( 82, 88)( 83,135)( 86, 92)( 87,139)( 90, 96)( 91,143)( 94,103)( 95,108)( 98,104)(100,127)
        (106,112)(107,144)(110,116)(111,147)(114,120)(115,150)(118,124)(119,154)(122,131)(123,158)(126,130)(133,138)
        (134,159)(136,142)(137,156)(140,146)(141,152)(145,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,116)( 52, 74)( 55, 77)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 96)( 71,133)( 75,115)( 76,112)( 78, 83)
        ( 79,117)( 81, 87)( 82,143)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93,119)( 94,153)( 97,103)( 98,159)( 99,137)
        (101,107)(102,155)(105,111)(106,151)(109,114)(110,147)(113,141)(118,142)(120,126)(121,139)(122,157)(124,129)
        (125,135)(128,132)(131,136)(134,140)(138,158)(144,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,118)( 52, 74)( 55, 77)
        ( 58, 64)( 59,126)( 60, 92)( 62, 68)( 63,130)( 66, 72)( 67,133)( 70, 96)( 71,137)( 75,115)( 76,111)( 78, 83)
        ( 79,119)( 81, 87)( 82,146)( 85, 91)( 86,149)( 89, 95)( 90,153)( 93,122)( 94,157)( 97,102)( 98,141)(100,106)
        (101,159)(104,110)(105,155)(108,114)(109,151)(112,117)(113,148)(116,121)(120,145)(123,129)(124,139)(125,143)
        (127,132)(128,135)(131,136)(134,140)(138,144)(142,158)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 47)( 24, 44)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 85)( 34, 59)
        ( 35, 89)( 38, 43)( 39, 69)( 41, 46)( 42, 98)( 45, 73)( 48, 54)( 49,105)( 50, 74)( 52, 58)( 53,109)( 56, 77)
        ( 57,113)( 60, 65)( 61, 71)( 62, 93)( 64, 68)( 67, 72)( 70, 97)( 75,101)( 76, 99)( 78, 84)( 79,125)( 80,117)
        ( 82, 88)( 83,129)( 86, 92)( 87,133)( 90, 96)( 91,137)( 94,100)( 95,104)(102,108)(103,138)(106,112)(107,141)
        (110,116)(111,145)(114,120)(115,149)(118,121)(119,150)(122,128)(123,153)(124,151)(126,132)(127,154)(130,136)
        (131,157)(134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 84)( 38, 60)( 40, 46)( 41, 87)( 44, 50)( 45, 91)( 48, 54)( 49, 95)( 52, 63)( 53, 99)( 56, 62)( 57, 86)
        ( 58, 79)( 61, 83)( 64, 70)( 65,111)( 66,103)( 68, 74)( 69,115)( 72, 78)( 73,119)( 76, 82)( 77,123)( 80, 89)
        ( 81,127)( 85, 90)( 88, 94)( 92, 98)( 93,128)( 96,102)( 97,131)(100,106)(101,135)(104,107)(105,139)(108,114)
        (109,149)(110,142)(112,118)(113,150)(116,122)(117,153)(120,126)(121,154)(124,130)(125,157)(129,134)(132,138)
        (133,158)(136,141)(137,148)(140,144)(143,145)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 89)( 45, 51)( 46, 96)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,112)( 59, 84)( 62, 88)( 66, 92)( 67, 90)( 69, 75)( 70,119)( 71,108)( 73, 79)( 74,123)( 77, 83)( 78,127)
        ( 81, 87)( 82,131)( 85, 94)( 86,135)( 91,113)( 93, 99)( 95,114)( 97,103)( 98,136)(101,107)(102,139)(105,111)
        (106,143)(109,115)(110,144)(116,122)(117,154)(118,147)(120,126)(121,158)(124,130)(125,159)(128,134)(129,156)
        (132,138)(133,152)(137,142)(140,146)(141,153)(145,149)(148,150)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 74)( 28, 56)( 30, 36)( 31, 78)( 34, 60)
        ( 35, 82)( 38, 43)( 39, 90)( 40, 62)( 42, 47)( 45, 67)( 46, 91)( 49, 55)( 50, 98)( 51, 68)( 53, 59)( 54,102)
        ( 57, 70)( 58,106)( 61, 66)( 63, 86)( 69, 94)( 71, 77)( 72,118)( 73,110)( 75, 81)( 76,122)( 79, 85)( 80,126)
        ( 83, 89)( 84,130)( 87, 93)( 88,134)( 92, 97)( 95,101)( 96,135)( 99,105)(100,138)(103,109)(104,142)(107,113)
        (108,143)(111,114)(112,146)(115,121)(116,154)(117,147)(119,125)(120,158)(123,129)(124,159)(127,133)(128,156)
        (131,137)(132,152)(136,141)(139,145)(140,153)(144,149)(148,150)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 44)( 24, 42)( 26, 32)( 27, 67)( 28, 52)( 30, 36)( 31, 71)( 34, 56)
        ( 35, 75)( 38, 43)( 39, 47)( 40, 58)( 45, 51)( 46, 80)( 49, 55)( 50, 83)( 53, 63)( 54, 87)( 57, 62)( 59, 79)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 90)( 85,112)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,131)( 98,123)(100,106)(101,135)(104,110)(105,139)(108,114)
        (109,143)(113,118)(116,122)(117,144)(120,126)(121,147)(124,127)(125,151)(128,134)(129,154)(130,152)(132,138)
        (133,158)(136,142)(137,159)(140,146)(141,156)(145,150)(148,153)(149,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,107)( 50, 56)( 51,118)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,126)( 62, 68)( 63,134)( 64, 92)( 66, 72)( 67,138)( 70, 76)( 71,142)( 74, 96)( 75,143)
        ( 79,114)( 80,110)( 83, 87)( 85, 91)( 86,127)( 89, 95)( 90,150)( 93,130)( 94,154)( 97,103)( 98,149)( 99,144)
        (101,106)(102,112)(105,109)(108,113)(111,146)(115,121)(116,136)(117,147)(119,125)(120,132)(123,129)(124,158)
        (128,153)(131,137)(133,157)(135,141)(139,145)(140,148)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 65)( 41, 47)( 42, 97)( 45, 68)( 46, 94)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,115)( 61, 67)( 62,101)( 63, 88)( 66, 92)( 70,103)( 71, 99)( 73, 79)( 74,127)( 75,116)( 77, 83)
        ( 78,130)( 81, 87)( 82,134)( 85, 91)( 86,138)( 89,119)( 90,142)( 93, 98)( 95,102)(100,120)(104,110)(105,149)
        (106,121)(108,114)(109,153)(112,118)(113,157)(117,123)(122,146)(124,129)(125,132)(126,158)(128,133)(131,137)
        (135,141)(136,159)(139,145)(140,155)(143,148)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 42, 47)( 43,100)( 46, 72)( 49, 55)( 50,104)( 51, 73)( 53, 59)( 54,108)
        ( 57, 76)( 58,112)( 61, 67)( 62,102)( 63, 92)( 65, 71)( 66, 99)( 70, 96)( 74, 93)( 75,101)( 77, 83)( 78,123)
        ( 79,116)( 81, 87)( 82,127)( 85, 91)( 86,131)( 89, 95)( 90,135)( 94,107)( 98,103)(105,111)(106,136)(109,115)
        (110,139)(113,119)(114,143)(117,120)(118,147)(121,126)(122,150)(124,130)(125,154)(128,134)(129,157)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,149)(145,156)(148,152)(151,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 71)( 27, 55)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 88)( 44, 50)( 45, 91)( 48, 54)( 49, 95)( 52, 58)( 53, 99)( 56, 67)( 57,103)
        ( 60, 66)( 61, 90)( 62, 83)( 65, 87)( 68, 74)( 69,115)( 70,107)( 72, 78)( 73,119)( 76, 82)( 77,122)( 80, 86)
        ( 81,126)( 84, 93)( 85,130)( 89, 94)( 92, 98)( 96,102)( 97,131)(100,106)(101,134)(104,110)(105,138)(108,111)
        (109,142)(112,118)(113,147)(114,143)(116,121)(117,150)(120,125)(123,129)(124,151)(127,133)(128,154)(132,137)
        (135,141)(136,155)(139,145)(140,158)(144,146)(148,153)(149,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 25, 31)( 26, 70)( 27, 52)( 29, 35)( 30, 74)( 33, 56)( 34, 78)
        ( 37, 43)( 38, 58)( 39, 64)( 41, 47)( 42, 83)( 45, 51)( 46, 86)( 49, 55)( 50, 90)( 53, 66)( 54, 94)( 57, 62)
        ( 59, 82)( 61, 65)( 67, 73)( 68,106)( 69, 98)( 71, 77)( 72,110)( 75, 81)( 76,114)( 79, 85)( 80,118)( 84, 89)
        ( 87, 93)( 88,119)( 91, 97)( 92,122)( 95,101)( 96,126)( 99,102)(100,130)(103,109)(104,141)(105,134)(107,113)
        (108,145)(111,117)(112,146)(115,121)(116,149)(120,125)(123,129)(124,150)(127,133)(128,153)(131,137)(132,157)
        (135,138)(136,158)(139,144)(140,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 71)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 88)( 45, 51)( 46, 99)( 47, 65)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,115)( 59, 83)( 62, 87)( 66, 95)( 67, 91)( 69, 74)( 70,108)( 72, 78)( 73,124)( 76, 82)( 77,127)( 80, 86)
        ( 81,131)( 84,111)( 85,135)( 89, 94)( 90,116)( 92,119)( 93,117)( 96,102)( 97,143)( 98,120)(100,106)(101,146)
        (104,110)(105,150)(109,123)(112,118)(113,122)(114,136)(121,139)(125,130)(126,151)(128,134)(129,155)(132,138)
        (133,157)(137,142)(140,145)(141,158)(144,149)(147,153)(148,159)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 47)( 24, 44)( 26, 32)( 27, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 43)( 39, 67)( 41, 46)( 42, 95)( 45, 70)( 48, 54)( 49, 98)( 50, 71)( 52, 58)( 53,102)( 56, 74)
        ( 57,106)( 60, 66)( 61, 97)( 62, 90)( 65, 69)( 68, 94)( 72, 91)( 73, 96)( 75, 81)( 76,115)( 77,110)( 79, 85)
        ( 80,118)( 83, 89)( 84,122)( 87, 93)( 88,126)( 92,101)( 99,105)(100,127)(103,109)(104,130)(107,113)(108,134)
        (111,114)(112,138)(116,121)(117,142)(119,125)(120,147)(123,129)(124,150)(128,133)(131,137)(132,151)(135,141)
        (136,154)(139,145)(140,157)(143,146)(144,158)(148,153)(149,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 57)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 65)( 26, 50)( 28, 34)( 29, 69)( 32, 53)( 33, 73)( 36, 42)
        ( 37, 85)( 38, 58)( 40, 46)( 41, 89)( 44, 49)( 45, 64)( 48, 52)( 51, 61)( 54, 60)( 55, 97)( 56, 77)( 59, 81)
        ( 62, 68)( 63, 90)( 66, 72)( 67,101)( 70, 76)( 71,105)( 74, 80)( 75,109)( 78, 93)( 79,113)( 82, 88)( 83,125)
        ( 84, 98)( 86, 92)( 87,129)( 91,104)( 94,100)( 95,124)( 96,117)( 99,121)(102,108)(103,130)(106,112)(107,137)
        (110,116)(111,141)(114,120)(115,145)(118,133)(119,149)(122,128)(123,134)(126,132)(127,153)(131,140)(135,156)
        (136,150)(138,144)(139,154)(142,148)(143,159)(146,152)(147,160)(151,157)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49)( 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 41)( 24, 39)( 26, 32)( 27, 73)( 28, 49)( 30, 36)( 31, 77)( 34, 53)
        ( 35, 81)( 40, 65)( 42, 48)( 43, 92)( 44, 66)( 46, 52)( 47, 96)( 50, 69)( 51,100)( 54, 60)( 55, 98)( 56, 85)
        ( 58, 64)( 59, 94)( 62, 68)( 63, 91)( 67, 89)( 70, 76)( 71,112)( 72,104)( 74, 80)( 75,116)( 78, 84)( 79,120)
        ( 82, 88)( 83,124)( 86,102)( 87,128)( 90, 95)( 93, 99)( 97,103)(101,107)(105,108)(106,129)(109,115)(110,140)
        (111,132)(113,119)(114,143)(117,123)(118,146)(121,127)(122,150)(125,131)(126,154)(130,135)(133,136)(134,155)
        (137,142)(138,148)(139,158)(141,145)(144,149)(147,153)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 47)( 24, 44)( 26, 32)( 27, 79)( 28, 55)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 43)( 39, 67)( 41, 46)( 42, 68)( 45, 71)( 48, 54)( 49, 92)( 50, 72)( 52, 58)( 53, 95)( 56, 75)
        ( 57, 99)( 60, 66)( 61, 73)( 62, 91)( 65, 70)( 69, 74)( 76, 82)( 77,111)( 78,103)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 94)( 89,123)( 93, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,143)
        (110,135)(112,118)(113,146)(116,122)(117,149)(120,126)(121,153)(125,130)(128,134)(129,154)(132,138)(133,157)
        (136,139)(137,158)(140,145)(141,151)(142,159)(144,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 44)( 24, 41)( 26, 32)( 27, 68)( 28, 52)( 30, 36)( 31, 72)( 34, 56)
        ( 35, 76)( 39, 43)( 40, 62)( 42, 58)( 45, 51)( 46, 77)( 47, 59)( 49, 55)( 50, 80)( 53, 64)( 54, 84)( 57, 63)
        ( 65, 71)( 66, 96)( 67, 88)( 69, 75)( 70,100)( 73, 79)( 74,104)( 78, 83)( 81, 87)( 82,105)( 85, 91)( 86,108)
        ( 89, 92)( 90,112)( 93, 99)( 94,124)( 95,116)( 97,103)( 98,128)(101,107)(102,132)(106,111)(109,115)(110,133)
        (113,119)(114,136)(117,120)(118,140)(121,127)(122,150)(123,144)(125,131)(126,151)(129,135)(130,154)(134,139)
        (137,143)(138,155)(141,146)(142,158)(145,147)(148,153)(149,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 23)( 11, 43)( 12, 21)( 14, 19)
        ( 15, 55)( 16, 31)( 18, 35)( 22, 39)( 24, 30)( 25, 62)( 26, 47)( 28, 34)( 29, 66)( 32, 51)( 33, 70)( 37, 42)
        ( 38, 56)( 40, 46)( 41, 53)( 44, 50)( 45, 75)( 48, 58)( 49, 78)( 52, 57)( 54, 74)( 59, 65)( 60, 90)( 61, 82)
        ( 63, 69)( 64, 94)( 67, 73)( 68, 98)( 71, 77)( 72,102)( 76, 81)( 79, 85)( 80,103)( 83, 86)( 84,106)( 87, 93)
        ( 88,118)( 89,110)( 91, 97)( 92,122)( 95,101)( 96,126)( 99,105)(100,130)(104,109)(107,113)(108,131)(111,114)
        (112,134)(115,121)(116,145)(117,138)(119,125)(120,146)(123,129)(124,149)(127,133)(128,153)(132,137)(135,141)
        (136,154)(139,142)(140,157)(143,148)(144,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 33)( 18, 37)( 19, 60)( 23, 44)( 24, 41)( 26, 32)( 27, 67)( 28, 52)( 30, 36)( 31, 71)( 34, 46)
        ( 35, 75)( 38, 43)( 39, 61)( 42, 58)( 45, 51)( 47, 59)( 49, 55)( 50, 76)( 53, 63)( 54, 79)( 57, 62)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,139)(114,131)(116,122)(117,142)(120,126)(121,146)(125,130)(128,134)(129,147)(132,135)(133,150)(136,141)
        (137,158)(138,154)(140,145)(143,149)(144,159)(148,153)(151,156)(152,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 49)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 48)( 23, 44)( 25, 31)( 26, 67)( 27, 52)( 29, 35)( 30, 71)( 33, 55)( 34, 75)
        ( 37, 43)( 38, 87)( 39, 59)( 41, 47)( 42, 91)( 45, 51)( 46, 66)( 50, 54)( 53, 63)( 57, 62)( 58, 79)( 60, 83)
        ( 61, 96)( 64, 70)( 65, 92)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 80, 95)( 81,115)( 84, 90)
        ( 85,124)( 86, 99)( 88, 94)( 89,127)( 93,106)( 97,102)( 98,119)(100,123)(101,132)(104,110)(105,128)(108,114)
        (109,139)(112,118)(113,143)(116,122)(117,147)(120,131)(121,151)(125,130)(126,135)(129,142)(133,138)(134,154)
        (136,141)(137,158)(140,146)(144,150)(145,159)(148,153)(149,160)(152,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 27, 32)( 28, 49)( 30, 53)( 31, 74)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 81)( 42, 48)( 43, 92)( 44, 70)( 46, 52)( 47, 95)( 50, 73)( 51, 99)( 54, 60)( 55,111)( 56, 77)
        ( 58, 64)( 59,115)( 62, 68)( 63,116)( 66, 80)( 67,119)( 71, 88)( 72, 84)( 75, 79)( 76,103)( 78,107)( 82, 87)
        ( 83,123)( 85,127)( 86,124)( 89, 94)( 90,139)( 91,128)( 93, 98)( 96,102)( 97,140)(100,106)(101,143)(104,110)
        (105,146)(108,114)(109,150)(112,118)(113,154)(117,122)(120,126)(121,155)(125,134)(129,135)(130,131)(132,158)
        (133,156)(136,142)(137,148)(138,159)(141,145)(144,149)(147,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 53, 59)( 54,115)( 55, 69)
        ( 58, 63)( 61, 72)( 62,116)( 66, 92)( 67, 88)( 70,111)( 71,107)( 73, 79)( 74,131)( 75,119)( 77, 83)( 78,135)
        ( 81, 87)( 82,136)( 85, 91)( 86,137)( 89,123)( 90,133)( 93, 99)( 94,142)( 95,124)( 97,103)( 98,145)(101,106)
        (102,149)(105,110)(108,114)(109,150)(112,118)(113,153)(117,122)(120,127)(121,154)(125,139)(126,129)(128,134)
        (130,157)(132,138)(140,144)(141,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 32)( 19, 64)( 23, 44)( 24, 40)( 27, 31)( 28, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 68)
        ( 37, 43)( 38, 81)( 41, 72)( 42, 84)( 45, 51)( 46, 96)( 47, 73)( 49, 55)( 50,100)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 67)( 62,112)( 65, 71)( 66,116)( 69, 76)( 70,120)( 74, 92)( 75, 88)( 77, 83)( 78,129)( 79,121)
        ( 82, 87)( 85, 91)( 86,130)( 89,124)( 90,132)( 93, 99)( 94,144)( 95,125)( 97,103)( 98,147)(101,107)(102,150)
        (105,111)(106,154)(109,115)(110,157)(113,119)(114,138)(117,123)(118,134)(122,128)(126,140)(127,136)(131,135)
        (133,139)(137,158)(141,146)(142,152)(143,159)(145,149)(148,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 81)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 50, 72)( 51, 69)( 53, 59)( 54,113)( 55, 84)
        ( 57, 63)( 58,117)( 61, 67)( 62,118)( 65, 88)( 66,121)( 70,106)( 71,103)( 73, 79)( 74,133)( 75,107)( 77, 83)
        ( 78,137)( 82, 87)( 85,109)( 86,138)( 89, 94)( 90,125)( 92, 98)( 93,146)( 96,102)( 97,149)(100,105)(101,153)
        (104,129)(108,130)(110,116)(111,127)(112,141)(114,120)(115,123)(119,124)(122,128)(126,145)(131,136)(132,154)
        (134,140)(135,158)(139,144)(142,148)(143,159)(147,152)(150,156)(151,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,118)( 59, 84)( 61, 67)( 62,122)( 65, 71)( 66,123)( 69, 88)( 70,124)( 73, 79)( 74,130)( 75,111)( 77, 83)
        ( 78,134)( 82, 87)( 85,114)( 86,135)( 89, 95)( 90,142)( 91,120)( 93, 99)( 94,145)( 97,103)( 98,149)(101,107)
        (102,153)(105,110)(106,129)(109,113)(112,126)(115,121)(116,144)(117,138)(119,125)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,147)(140,158)(143,148)(146,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 98)( 40, 71)( 42, 47)( 43,102)( 46, 74)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,118)( 61, 67)( 62,130)( 63, 90)( 65, 70)( 66, 97)( 69, 73)( 72, 94)( 76,106)( 77,103)( 80, 85)
        ( 81,122)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91,126)( 92,145)( 95,101)( 96,131)( 99,105)(100,128)(104,133)
        (107,113)(108,149)(109,134)(111,117)(112,150)(115,121)(116,153)(119,125)(120,157)(123,137)(124,158)(127,132)
        (129,136)(135,146)(139,144)(140,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 68)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 71)( 54,111)( 57, 63)
        ( 58, 97)( 59, 87)( 61, 67)( 62, 93)( 65, 70)( 66, 94)( 69, 91)( 72, 78)( 73,123)( 74,115)( 76, 82)( 77,127)
        ( 80, 86)( 81,128)( 84, 90)( 85,131)( 88,101)( 89,135)( 92, 98)( 96,102)(100,106)(104,110)(105,136)(108,114)
        (109,139)(112,118)(113,143)(116,119)(117,147)(120,126)(121,154)(122,150)(124,130)(125,157)(129,134)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,149)(145,156)(148,152)(151,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 50)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 36)( 22, 46)( 23, 43)( 25, 31)( 26, 73)( 27, 54)( 29, 35)( 30, 77)( 33, 58)( 34, 81)
        ( 37, 42)( 38, 68)( 39, 63)( 41, 45)( 44, 65)( 47, 53)( 48, 86)( 49, 66)( 51, 57)( 52, 89)( 55, 69)( 56, 93)
        ( 59, 64)( 60, 67)( 61, 85)( 70, 76)( 71,105)( 72, 97)( 74, 80)( 75,109)( 78, 84)( 79,113)( 82, 88)( 83,117)
        ( 87, 92)( 90, 96)( 91,118)( 94,100)( 95,121)( 98,101)( 99,125)(102,108)(103,134)(104,129)(106,112)(107,137)
        (110,116)(111,141)(114,120)(115,145)(119,124)(122,128)(123,146)(126,132)(127,149)(130,133)(131,153)(135,140)
        (136,154)(138,144)(139,158)(142,148)(143,159)(147,152)(150,156)(151,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 46)( 12, 21)( 14, 19)
        ( 15, 44)( 16, 32)( 18, 36)( 22, 42)( 23, 40)( 25, 31)( 26, 58)( 27, 50)( 29, 35)( 30, 62)( 33, 48)( 34, 66)
        ( 37, 41)( 38, 45)( 43, 49)( 47, 53)( 51, 54)( 52, 67)( 55, 61)( 56, 78)( 57, 70)( 59, 65)( 60, 82)( 63, 69)
        ( 64, 86)( 68, 73)( 71, 74)( 72, 87)( 75, 81)( 76, 98)( 77, 90)( 79, 85)( 80,102)( 83, 89)( 84,106)( 88, 93)
        ( 91, 94)( 92,107)( 95,101)( 96,118)( 97,110)( 99,105)(100,122)(103,109)(104,126)(108,113)(111,114)(112,127)
        (115,121)(116,138)(117,130)(119,125)(120,142)(123,129)(124,146)(128,133)(131,134)(132,147)(135,141)(136,155)
        (137,150)(139,145)(140,156)(143,149)(144,158)(148,153)(151,154)(152,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 40)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 33)( 23, 38)( 25, 31)( 26, 52)( 27, 44)( 29, 35)( 30, 56)( 34, 43)( 41, 47)
        ( 42, 57)( 45, 48)( 46, 60)( 49, 55)( 50, 72)( 51, 64)( 53, 59)( 54, 76)( 58, 63)( 61, 67)( 62, 77)( 65, 68)
        ( 66, 80)( 69, 75)( 70, 92)( 71, 84)( 73, 79)( 74, 96)( 78, 83)( 81, 87)( 82, 97)( 85, 88)( 86,100)( 89, 95)
        ( 90,112)( 91,104)( 93, 99)( 94,116)( 98,103)(101,107)(102,117)(105,108)(106,120)(109,115)(110,132)(111,124)
        (113,119)(114,136)(118,123)(121,127)(122,137)(125,128)(126,140)(129,135)(130,151)(131,144)(133,139)(134,154)
        (138,143)(141,147)(142,155)(145,148)(146,158)(149,153)(150,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 32)( 19, 64)( 23, 44)( 24, 40)( 27, 31)( 28, 52)( 30, 56)( 33, 39)( 34, 79)( 35, 68)
        ( 37, 43)( 38, 80)( 41, 71)( 42, 83)( 45, 51)( 46, 95)( 47, 72)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 70)( 66,115)( 69, 75)( 73, 91)( 74, 87)( 76, 82)( 77,127)( 78,116)( 81, 86)
        ( 84, 90)( 85,128)( 88,119)( 89,131)( 92, 98)( 93,142)( 94,120)( 96,102)( 97,146)(100,106)(101,147)(104,110)
        (105,150)(108,114)(109,153)(112,118)(113,157)(117,123)(121,138)(122,134)(124,130)(125,136)(126,158)(129,133)
        (132,137)(135,141)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 32)( 19, 64)( 23, 44)( 24, 40)( 27, 31)( 28, 52)( 30, 56)( 33, 39)( 34, 79)( 35, 68)
        ( 37, 43)( 38, 83)( 41, 71)( 42, 84)( 45, 51)( 46, 95)( 47, 72)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 70)( 66,115)( 69, 75)( 73, 91)( 74, 87)( 76, 82)( 77,127)( 78,116)( 80, 86)
        ( 81,130)( 85, 90)( 88,119)( 89,131)( 92, 98)( 93,139)( 94,120)( 96,102)( 97,142)(100,106)(101,143)(104,110)
        (105,146)(108,114)(109,150)(112,118)(113,153)(117,123)(121,138)(122,134)(124,129)(125,136)(126,154)(128,133)
        (132,137)(135,157)(140,145)(141,158)(144,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 78)( 31, 63)( 33, 38)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 90)( 42, 68)( 44, 50)( 45, 94)( 48, 71)( 49, 98)( 52, 58)( 53,106)( 54, 72)( 56, 62)
        ( 57,110)( 60, 66)( 61,114)( 64, 74)( 65,115)( 69, 86)( 70, 82)( 73,102)( 75, 81)( 76,127)( 77,118)( 80, 85)
        ( 83,122)( 84,128)( 87, 93)( 88,135)( 89,123)( 91, 97)( 92,138)( 95,101)( 96,139)( 99,105)(100,142)(103,109)
        (104,146)(107,113)(108,149)(111,117)(112,153)(116,121)(119,126)(120,154)(124,134)(125,130)(129,133)(131,157)
        (132,155)(136,141)(137,158)(140,145)(143,148)(144,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 68)( 42, 47)( 45, 72)( 46,101)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,123)( 63, 92)( 66, 71)( 69, 96)( 70,124)( 74,103)( 75, 98)( 77, 83)( 78,128)
        ( 79,119)( 81, 87)( 82,131)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93,105)( 94,142)( 97,102)( 99,125)(104,110)
        (106,126)(108,114)(109,143)(112,118)(113,146)(116,122)(117,150)(120,127)(121,151)(129,133)(130,154)(132,137)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 72)( 43, 96)( 46, 52)( 47,106)( 48, 73)( 50, 56)( 51,110)( 54, 76)( 55,114)
        ( 58, 64)( 59,122)( 60, 91)( 62, 67)( 63,126)( 66, 71)( 69, 95)( 70,127)( 74,102)( 75, 98)( 77, 82)( 78,118)
        ( 80, 86)( 81,131)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92,104)( 93,142)( 97,101)( 99,124)(100,128)(103,109)
        (105,125)(107,113)(108,143)(111,117)(112,146)(115,121)(116,150)(119,130)(120,151)(123,129)(132,137)(133,154)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 32)( 18, 36)( 19, 66)( 23, 48)( 24, 44)( 26, 31)( 27, 81)( 28, 54)( 30, 35)( 33, 58)( 34, 82)
        ( 37, 43)( 38, 93)( 39, 70)( 41, 47)( 42, 97)( 45, 74)( 46, 80)( 49, 53)( 50, 75)( 52, 57)( 55, 77)( 56, 76)
        ( 59, 65)( 60,105)( 61, 85)( 63, 69)( 64,109)( 67, 73)( 68,113)( 71, 89)( 72,117)( 78, 84)( 79, 98)( 83, 88)
        ( 86,101)( 87, 99)( 90, 96)( 91,129)( 92,121)( 94,100)( 95,104)(102,108)(103,130)(106,112)(107,133)(110,116)
        (111,137)(114,120)(115,141)(118,124)(119,145)(122,125)(123,149)(126,132)(127,135)(128,153)(131,136)(134,140)
        (138,144)(139,154)(142,148)(143,157)(146,152)(147,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 73)( 28, 53)( 30, 36)( 31, 77)( 34, 57)
        ( 35, 81)( 39, 44)( 40, 66)( 42, 48)( 43, 90)( 46, 52)( 47, 92)( 50, 56)( 51, 96)( 54, 69)( 55,100)( 58, 64)
        ( 59, 98)( 60, 85)( 62, 68)( 63, 94)( 67, 89)( 70, 76)( 71,112)( 72,104)( 74, 80)( 75,116)( 78, 84)( 79,120)
        ( 82, 88)( 83,124)( 86,102)( 87,128)( 91, 95)( 93, 99)( 97,103)(101,107)(105,108)(106,129)(109,115)(110,139)
        (111,132)(113,119)(114,142)(117,123)(118,146)(121,127)(122,149)(125,131)(126,153)(130,135)(133,136)(134,154)
        (137,141)(138,157)(140,145)(143,148)(144,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 28)( 18, 32)( 19, 56)( 22, 27)( 23, 68)( 24, 44)( 26, 31)( 29, 48)( 30, 69)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,104)( 51, 72)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 65, 71)( 66,126)( 67, 96)( 70, 75)( 73,100)( 74,127)( 77, 83)( 78,138)( 79,118)
        ( 81, 87)( 82,142)( 85, 91)( 86,146)( 89, 95)( 90,147)( 93, 99)( 94,150)( 97,122)( 98,154)(101,106)(102,136)
        (103,130)(105,110)(108,114)(109,137)(112,117)(113,120)(116,121)(119,134)(123,129)(124,157)(125,155)(128,133)
        (131,140)(132,158)(135,141)(139,145)(143,149)(144,159)(148,153)(151,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 71)( 27, 55)( 29, 34)( 32, 59)( 33, 72)( 36, 42)
        ( 37, 83)( 38, 64)( 40, 46)( 41, 87)( 44, 50)( 45, 91)( 48, 54)( 49, 95)( 52, 58)( 53, 99)( 56, 67)( 57,103)
        ( 60, 66)( 61,115)( 62, 75)( 65, 79)( 68, 74)( 69,123)( 70,107)( 73, 78)( 76,111)( 77,124)( 80, 86)( 81,134)
        ( 82,116)( 84, 90)( 85,138)( 88, 94)( 89,142)( 92, 98)( 93,143)( 96,102)( 97,146)(100,106)(101,150)(104,110)
        (105,154)(108,119)(109,155)(112,118)(113,133)(114,127)(117,131)(120,126)(121,157)(122,152)(125,130)(128,136)
        (129,158)(132,137)(135,141)(139,145)(140,159)(144,149)(147,153)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 47)( 24, 43)( 26, 31)( 27, 79)( 28, 51)( 30, 35)( 33, 55)( 34, 80)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 88)( 44, 71)( 45, 91)( 49, 54)( 50, 72)( 52, 75)( 53,100)( 56, 62)( 57,111)
        ( 58, 83)( 60, 66)( 61,114)( 64, 70)( 65,118)( 68, 87)( 69,122)( 73, 99)( 74, 95)( 76, 82)( 77,138)( 78,103)
        ( 81, 86)( 84,107)( 85,139)( 89, 94)( 90,126)( 92, 98)( 93,127)( 96,130)( 97,146)(101,106)(102,131)(104,134)
        (105,155)(108,113)(109,116)(110,142)(112,117)(115,121)(119,125)(120,143)(123,129)(124,157)(128,149)(132,154)
        (133,150)(135,141)(136,159)(137,152)(140,145)(144,160)(147,153)(148,158)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 50)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 36)( 22, 46)( 23, 42)( 25, 31)( 26, 70)( 27, 54)( 29, 35)( 30, 74)( 33, 58)( 34, 78)
        ( 37, 41)( 38, 63)( 40, 45)( 43, 49)( 44, 64)( 47, 53)( 48, 60)( 51, 57)( 52, 83)( 55, 66)( 56, 86)( 59, 65)
        ( 61, 82)( 67, 73)( 68, 98)( 69, 90)( 71, 77)( 72,102)( 75, 81)( 76,106)( 79, 85)( 80,110)( 84, 89)( 87, 93)
        ( 88,111)( 91, 94)( 92,114)( 95,101)( 96,126)( 97,118)( 99,105)(100,130)(103,109)(104,134)(107,113)(108,138)
        (112,117)(115,121)(116,139)(119,122)(120,142)(123,129)(124,151)(125,146)(127,133)(128,152)(131,137)(132,154)
        (135,141)(136,158)(140,145)(143,149)(144,159)(147,150)(148,156)(153,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 68)( 24, 45)( 26, 32)( 27, 71)( 30, 49)( 31, 75)( 34, 40)( 35, 87)
        ( 36, 60)( 38, 44)( 39, 91)( 42, 48)( 43, 95)( 46, 64)( 47, 99)( 50, 56)( 51, 86)( 52, 79)( 54, 59)( 55, 62)
        ( 58, 63)( 61, 83)( 65, 70)( 66,115)( 67,103)( 69, 74)( 72, 78)( 73,116)( 76, 82)( 77,119)( 80,107)( 81,123)
        ( 84, 90)( 85,108)( 88, 94)( 89,130)( 92, 98)( 93,134)( 96,102)( 97,138)(100,106)(101,142)(104,111)(105,146)
        (109,133)(110,127)(112,118)(113,153)(114,147)(117,122)(120,126)(121,154)(124,129)(125,157)(128,149)(131,137)
        (132,150)(135,141)(136,151)(139,145)(140,159)(143,148)(144,156)(152,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 51, 56)( 52, 73)( 54, 76)( 55,112)
        ( 58, 63)( 59,122)( 60, 91)( 62, 67)( 65, 71)( 66,123)( 69, 95)( 70,126)( 74,111)( 75,107)( 77, 82)( 78,138)
        ( 79,114)( 81, 86)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92,118)( 93,146)( 97,102)( 98,130)(100,106)(101,154)
        (104,110)(105,157)(108,116)(109,137)(113,117)(115,134)(119,125)(120,128)(121,150)(124,129)(127,133)(131,153)
        (132,151)(135,141)(136,158)(140,145)(143,149)(144,159)(147,152)(148,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 35)( 18, 59)( 22, 47)( 23, 43)( 25, 30)( 26, 48)( 28, 34)( 29, 72)( 32, 51)( 33, 75)( 36, 42)
        ( 37, 84)( 38, 63)( 40, 46)( 41, 87)( 44, 67)( 45, 91)( 49, 71)( 50, 68)( 52, 58)( 53,107)( 54, 79)( 56, 62)
        ( 57,111)( 60, 66)( 61,115)( 64, 83)( 65,119)( 69, 99)( 70, 95)( 73, 78)( 74,100)( 76, 82)( 77,127)( 80,103)
        ( 81,130)( 85, 90)( 86,120)( 88, 94)( 89,139)( 92, 98)( 93,142)( 96,123)( 97,146)(101,126)(102,124)(104,110)
        (105,157)(106,134)(108,114)(109,158)(112,118)(113,159)(116,122)(117,155)(121,138)(125,150)(128,133)(129,151)
        (131,137)(132,148)(135,153)(136,144)(140,145)(141,156)(143,149)(147,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 24, 41)( 26, 31)( 27, 52)( 29, 35)( 30, 73)( 33, 56)( 34, 76)
        ( 37, 43)( 38, 88)( 39, 64)( 42, 68)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,103)( 57, 63)
        ( 58,115)( 59, 80)( 62, 67)( 65, 84)( 66,116)( 70, 92)( 71, 89)( 74, 79)( 75,107)( 77, 83)( 78,127)( 81,111)
        ( 82,130)( 85, 91)( 86,139)( 87,119)( 90,122)( 93, 99)( 94,142)( 95,123)( 97,102)( 98,146)(101,106)(104,110)
        (105,147)(108,126)(109,150)(112,118)(113,141)(114,134)(117,121)(120,138)(124,135)(125,140)(128,133)(129,154)
        (131,137)(132,158)(136,145)(143,149)(144,159)(148,153)(151,156)(152,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 57)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 60)( 41, 47)( 42, 95)( 45, 64)( 46, 99)( 50, 68)( 51, 65)( 53, 59)( 54,115)( 55, 84)
        ( 58, 63)( 61, 88)( 62,116)( 66,107)( 67,103)( 69, 75)( 70,126)( 71,108)( 73, 79)( 74,130)( 77, 83)( 78,133)
        ( 81, 87)( 82,137)( 85,111)( 86,138)( 89, 94)( 90,119)( 92, 98)( 93,146)( 96,102)( 97,149)(100,106)(101,153)
        (104,110)(105,125)(109,122)(112,118)(113,148)(114,141)(117,121)(120,145)(123,129)(124,154)(127,132)(128,157)
        (131,136)(134,140)(135,158)(139,144)(142,151)(143,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 43)( 39, 71)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 58)( 54,107)( 57, 75)
        ( 60, 66)( 61,115)( 62, 91)( 64, 70)( 65,116)( 68, 74)( 69,119)( 72, 95)( 73,122)( 76, 82)( 77,134)( 78,108)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92,111)( 93,146)( 97,102)( 98,126)(100,106)(101,154)
        (104,110)(105,133)(109,130)(112,118)(113,124)(114,149)(117,121)(120,125)(123,129)(127,153)(128,150)(131,137)
        (132,155)(135,140)(136,158)(139,144)(142,148)(143,159)(147,152)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 43)( 39, 71)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 58)( 54,107)( 57, 75)
        ( 60, 66)( 61,115)( 62, 91)( 64, 70)( 65,118)( 68, 74)( 69,119)( 72, 95)( 73,122)( 76, 82)( 77,134)( 78,108)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92,111)( 93,146)( 97,102)( 98,126)(100,106)(101,154)
        (104,110)(105,133)(109,130)(112,117)(113,124)(114,149)(116,121)(120,125)(123,129)(127,153)(128,150)(131,137)
        (132,155)(135,140)(136,158)(139,144)(142,148)(143,159)(147,152)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,119)( 52, 77)( 54, 59)
        ( 57, 79)( 58,120)( 61, 67)( 62,126)( 63, 95)( 65, 71)( 66,130)( 69, 75)( 70,131)( 73, 99)( 74,134)( 78,115)
        ( 80, 86)( 81,138)( 82,117)( 84, 90)( 85,142)( 88, 94)( 89,143)( 92, 98)( 93,146)( 96,122)( 97,150)(100,106)
        (101,124)(102,135)(104,110)(105,154)(108,114)(109,157)(112,118)(113,141)(116,121)(123,129)(125,153)(127,133)
        (128,136)(132,137)(139,145)(140,158)(144,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,119)( 52, 77)( 54, 59)
        ( 57, 79)( 58,120)( 61, 67)( 62,126)( 63, 95)( 65, 71)( 66,130)( 69, 75)( 70,131)( 73, 99)( 74,134)( 78,115)
        ( 80, 86)( 81,138)( 82,117)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,122)( 97,150)(100,106)
        (101,124)(102,135)(104,110)(105,154)(108,114)(109,157)(112,118)(113,141)(116,121)(123,129)(125,153)(127,133)
        (128,136)(132,137)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 44)( 39, 96)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,103)( 50, 55)( 51, 72)( 53, 58)( 54,111)
        ( 57, 75)( 60, 66)( 61,118)( 62, 91)( 65, 70)( 68, 95)( 69,119)( 73,110)( 74,107)( 76, 82)( 77,130)( 78,112)
        ( 80, 86)( 81,134)( 84, 90)( 85,135)( 88, 94)( 89,138)( 92,114)( 93,142)( 97,102)( 98,122)(100,106)(101,150)
        (104,109)(105,153)(108,126)(113,127)(115,121)(116,124)(117,145)(120,125)(123,149)(128,133)(129,154)(131,137)
        (132,158)(136,141)(139,144)(140,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 44)( 39, 96)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,103)( 50, 55)( 51, 72)( 53, 58)( 54,111)
        ( 57, 75)( 60, 66)( 61,118)( 62, 91)( 65, 70)( 68, 95)( 69,119)( 73,110)( 74,107)( 76, 82)( 77,130)( 78,112)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88, 94)( 89,141)( 92,114)( 93,142)( 97,102)( 98,122)(100,106)(101,150)
        (104,109)(105,153)(108,126)(113,127)(115,121)(116,124)(117,145)(120,125)(123,149)(128,133)(129,154)(131,136)
        (132,158)(135,140)(138,144)(139,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 57)( 22, 48)( 23, 44)( 25, 31)( 26, 68)( 27, 49)( 29, 35)( 30, 72)( 33, 52)( 34, 76)
        ( 37, 43)( 38, 84)( 39, 58)( 41, 47)( 42, 88)( 45, 60)( 46, 92)( 50, 64)( 51, 61)( 53, 59)( 54, 87)( 55, 80)
        ( 62,100)( 63, 96)( 65, 71)( 66,115)( 67,101)( 69, 75)( 70,119)( 73, 79)( 74,122)( 77, 83)( 78,126)( 81,104)
        ( 82,127)( 85, 91)( 86,105)( 89, 95)( 90,134)( 93, 99)( 94,138)( 97,108)( 98,142)(102,111)(103,109)(106,137)
        (107,130)(110,146)(112,118)(113,153)(114,147)(116,121)(117,157)(120,125)(123,129)(124,158)(128,133)(131,149)
        (132,159)(135,141)(136,150)(139,145)(140,151)(143,148)(144,156)(152,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 68)
        ( 58,109)( 61, 67)( 62,119)( 63, 84)( 66, 88)( 69, 75)( 70,126)( 71,112)( 73, 79)( 74,130)( 77, 83)( 78,131)
        ( 81, 87)( 82,134)( 85,115)( 86,138)( 89, 95)( 90,145)( 91,120)( 93, 99)( 94,146)( 97,103)( 98,149)(101,107)
        (102,153)(105,111)(106,125)(110,114)(113,122)(116,121)(117,148)(118,141)(123,129)(124,154)(127,133)(128,157)
        (132,137)(135,140)(136,158)(139,144)(142,151)(143,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 68)
        ( 58,110)( 61, 67)( 62,118)( 63, 84)( 66, 88)( 69, 75)( 70,126)( 71,111)( 73, 79)( 74,130)( 77, 83)( 78,131)
        ( 81, 87)( 82,134)( 85,114)( 86,138)( 89, 94)( 90,119)( 92, 98)( 93,146)( 96,102)( 97,149)(100,106)(101,153)
        (104,109)(105,125)(108,113)(112,122)(115,121)(116,148)(117,141)(120,145)(123,129)(124,154)(127,133)(128,157)
        (132,137)(135,140)(136,158)(139,144)(142,151)(143,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 47)( 43,103)( 46, 71)( 49, 55)( 50,111)( 51, 72)( 53, 58)( 54,115)
        ( 57, 75)( 60, 66)( 61,122)( 62, 91)( 64, 70)( 65,123)( 69, 95)( 73,107)( 74,104)( 76, 82)( 77,130)( 78,116)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88, 94)( 89,141)( 92,118)( 93,145)( 96,102)( 97,120)( 98,124)(100,106)
        (101,150)(105,126)(108,114)(109,157)(110,127)(112,117)(113,133)(119,125)(121,149)(128,153)(129,151)(131,136)
        (132,158)(135,140)(138,144)(139,159)(142,148)(143,155)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,115)( 59, 84)( 62, 67)( 65, 88)( 66,116)( 69, 75)( 70,122)( 71,108)( 73, 79)( 74,126)( 77, 83)( 78,129)
        ( 81, 87)( 82,133)( 85,111)( 86,137)( 89, 94)( 90,113)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)
        (104,110)(105,121)(109,118)(112,117)(114,141)(119,125)(120,150)(123,128)(124,153)(127,132)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 71)( 27, 56)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 58)( 54,107)( 57, 67)
        ( 60, 66)( 61,115)( 62, 83)( 65, 87)( 68, 74)( 69,122)( 70,108)( 72, 78)( 73,126)( 76, 82)( 77,129)( 80, 86)
        ( 81,133)( 84,111)( 85,137)( 88, 94)( 89,113)( 90,116)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)
        (104,110)(105,121)(109,118)(112,117)(114,141)(119,125)(120,150)(123,128)(124,153)(127,132)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,115)( 52, 76)( 54, 59)
        ( 55,119)( 58, 79)( 61, 67)( 62,127)( 63, 91)( 65, 71)( 66,131)( 69, 74)( 70,134)( 73, 95)( 77,111)( 78,108)
        ( 81, 86)( 82,120)( 84, 90)( 85,143)( 88, 94)( 89,146)( 92,123)( 93,150)( 96,102)( 97,125)( 98,135)(100,106)
        (101,155)(104,110)(105,158)(109,138)(112,118)(113,148)(114,139)(116,122)(117,145)(121,142)(124,130)(126,154)
        (128,133)(129,136)(132,137)(140,152)(141,159)(144,149)(147,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 24)(  4,  9)(  6, 11)(  7, 23)(  8, 16)( 10, 20)( 13, 19)( 14, 40)( 15, 28)
        ( 17, 32)( 18, 43)( 21, 27)( 22, 33)( 25, 31)( 26, 51)( 29, 36)( 30, 55)( 34, 54)( 35, 47)( 37, 42)( 38, 71)
        ( 39, 59)( 41, 46)( 44, 50)( 45, 72)( 48, 63)( 49, 75)( 52, 58)( 53, 64)( 56, 62)( 57, 83)( 60, 67)( 61, 87)
        ( 65, 86)( 66, 79)( 68, 74)( 69,103)( 70, 91)( 73, 78)( 76, 82)( 77,104)( 80, 95)( 81,107)( 84, 90)( 85, 96)
        ( 88, 94)( 89,115)( 92, 99)( 93,119)( 97,118)( 98,111)(100,106)(101,135)(102,123)(105,110)(108,114)(109,136)
        (112,127)(113,139)(116,122)(117,128)(120,126)(121,143)(124,131)(125,147)(129,146)(130,140)(132,138)(133,157)
        (134,151)(137,142)(141,154)(144,150)(145,155)(148,153)(149,160)(152,158)(156,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 62)( 45, 51)( 46, 92)( 47, 65)( 49, 55)( 50, 96)( 53, 68)( 54,100)( 57, 63)
        ( 58, 67)( 59, 84)( 66, 88)( 69, 75)( 70,111)( 71,104)( 73, 79)( 74,115)( 77, 83)( 78,119)( 81, 87)( 82,123)
        ( 85, 91)( 86,127)( 89, 95)( 90,128)( 93, 99)( 94,131)( 97,103)( 98,135)(101,107)(102,139)(105,108)(106,143)
        (109,114)(110,144)(112,118)(113,148)(116,122)(117,150)(120,126)(121,154)(124,130)(125,158)(129,134)(132,138)
        (133,159)(136,142)(137,156)(140,146)(141,152)(145,147)(149,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 71)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 38, 43)( 39, 61)( 41, 63)( 42, 58)( 45, 51)( 46, 90)( 47, 64)( 49, 55)( 50, 94)( 53, 67)( 54, 98)( 57, 62)
        ( 59, 83)( 65, 87)( 66, 84)( 68, 74)( 69,114)( 70,102)( 72, 78)( 73,118)( 76, 82)( 77,122)( 80, 86)( 81,126)
        ( 85,106)( 88, 93)( 89,107)( 91, 97)( 92,131)( 95,101)( 96,134)( 99,105)(100,138)(103,110)(104,142)(108,130)
        (109,127)(111,117)(112,154)(113,143)(115,121)(116,155)(119,125)(120,152)(123,129)(124,157)(128,146)(132,137)
        (133,147)(135,141)(136,148)(139,145)(140,159)(144,150)(149,158)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 71)( 43, 96)( 46, 52)( 47,106)( 48, 72)( 50, 56)( 51,110)( 54, 75)( 55,114)
        ( 58, 64)( 59,101)( 60, 91)( 62, 67)( 63, 98)( 66, 70)( 69, 95)( 73,103)( 74, 99)( 76, 82)( 77,127)( 78,118)
        ( 80, 86)( 81,130)( 84, 90)( 85,133)( 88, 94)( 89,137)( 92,122)( 93,141)( 97,102)(100,123)(104,109)(105,124)
        (107,113)(108,146)(111,117)(112,149)(115,121)(116,153)(119,126)(120,157)(125,145)(128,132)(129,158)(131,136)
        (134,140)(135,159)(138,144)(139,155)(142,148)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 65)( 41, 47)( 42, 97)( 45, 68)( 46, 94)( 49, 55)( 50,106)( 51, 69)( 53, 59)( 54,110)
        ( 57, 72)( 58,114)( 61, 67)( 62,101)( 63, 88)( 66, 92)( 70,103)( 71, 99)( 73, 79)( 74,129)( 75,118)( 77, 83)
        ( 78,130)( 81, 87)( 82,133)( 85, 91)( 86,137)( 89,122)( 90,141)( 93, 98)( 95,102)(100,123)(104,109)(105,124)
        (107,113)(108,146)(111,117)(112,149)(115,121)(116,153)(119,126)(120,157)(125,145)(127,132)(128,158)(131,136)
        (134,140)(135,159)(138,144)(139,155)(142,148)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 42)( 11, 21)( 13, 19)( 14, 54)
        ( 15, 25)( 17, 28)( 18, 58)( 22, 38)( 23, 34)( 26, 50)( 27, 46)( 29, 33)( 30, 62)( 32, 37)( 35, 66)( 36, 63)
        ( 39, 45)( 40, 81)( 41, 67)( 43, 49)( 44, 85)( 47, 70)( 48, 89)( 51, 57)( 52,101)( 53, 71)( 55, 61)( 56,105)
        ( 59, 65)( 60,109)( 64, 77)( 68, 78)( 69, 74)( 72, 97)( 73, 93)( 75,113)( 76,110)( 79, 84)( 80,114)( 82, 88)
        ( 83,126)( 86, 92)( 87,129)( 90, 96)( 91,133)( 94,117)( 95,137)( 98,104)( 99,145)(100,118)(102,108)(103,146)
        (106,112)(107,149)(111,124)(115,125)(116,121)(119,141)(120,138)(122,153)(123,150)(127,132)(128,154)(130,136)
        (131,155)(134,140)(135,158)(139,144)(142,148)(143,159)(147,152)(151,160)(156,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 69)( 43, 72)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,115)
        ( 58, 64)( 59,123)( 60, 91)( 62, 68)( 63,127)( 66, 71)( 67, 98)( 70, 95)( 74,103)( 75,100)( 77, 82)( 78,134)
        ( 79,119)( 81, 86)( 84, 90)( 85,135)( 88, 94)( 89,138)( 92,105)( 93,142)( 96,102)( 97,128)(101,125)(104,110)
        (106,126)(108,114)(109,143)(112,118)(113,146)(116,122)(117,150)(120,130)(121,154)(124,129)(131,137)(132,157)
        (133,155)(136,141)(139,145)(140,158)(144,149)(147,153)(148,159)(151,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 79)( 34, 57)
        ( 35, 83)( 39, 44)( 40, 68)( 42, 48)( 43, 92)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 72)( 55,103)( 58, 63)
        ( 59,114)( 60, 87)( 62, 67)( 65, 71)( 66,115)( 69, 91)( 70,112)( 73, 78)( 74,125)( 75,107)( 77, 82)( 80, 86)
        ( 81,126)( 84, 90)( 85,129)( 88,110)( 89,133)( 93, 98)( 94,117)( 96,102)( 97,138)(100,106)(101,141)(104,109)
        (105,145)(108,121)(111,116)(113,120)(118,137)(119,134)(122,128)(123,157)(124,146)(127,132)(130,136)(131,158)
        (135,152)(139,144)(140,149)(142,148)(143,156)(147,153)(150,155)(151,159)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 57)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 89)( 39, 60)( 41, 47)( 42, 92)( 45, 64)( 46, 96)( 50, 68)( 51, 65)( 53, 59)( 54, 62)( 55, 84)
        ( 58, 63)( 61, 88)( 66,104)( 67,100)( 69, 75)( 70,116)( 71,105)( 73, 79)( 74,117)( 77, 83)( 78,120)( 81, 87)
        ( 82,124)( 85, 91)( 86,128)( 90, 95)( 93, 99)( 94,129)( 97,103)( 98,132)(101,108)(102,136)(106,112)(107,109)
        (110,143)(111,140)(113,119)(114,150)(115,144)(118,123)(121,127)(122,151)(125,131)(126,154)(130,135)(133,139)
        (134,155)(137,142)(138,158)(141,146)(145,147)(148,153)(149,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 93)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,111)( 60, 66)( 61, 97)( 62, 87)( 65, 91)( 69, 99)( 70, 95)( 72, 78)( 73,120)( 74,115)( 76, 82)( 77,123)
        ( 80, 86)( 81,127)( 84, 90)( 85,131)( 88,101)( 89,135)( 94, 98)( 96,102)(100,106)(104,110)(105,136)(108,114)
        (109,139)(112,118)(113,143)(116,119)(117,147)(121,126)(122,148)(124,130)(125,152)(128,134)(129,154)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,150)(145,156)(149,151)(153,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,102)( 46, 76)( 47,104)( 50, 56)( 51,116)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,124)( 62, 68)( 63,114)( 64, 96)( 66, 72)( 67,110)( 70, 75)( 71,106)( 74,100)( 78,112)
        ( 79,108)( 81, 87)( 82,135)( 83,128)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,146)( 97,118)( 98,149)
        (103,107)(105,111)(109,115)(113,119)(117,123)(121,127)(122,150)(125,131)(126,153)(129,132)(130,157)(133,137)
        (134,158)(136,141)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 68)( 42, 47)( 45, 72)( 46,101)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,116)( 61, 67)( 62, 70)( 63, 92)( 66, 71)( 69, 96)( 74,104)( 75,102)( 77, 83)( 78,127)( 79,119)
        ( 81, 87)( 82,131)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,103)( 98,107)(105,111)(106,143)
        (109,115)(110,146)(113,118)(114,150)(117,122)(120,123)(121,151)(124,130)(125,154)(126,152)(128,133)(129,158)
        (132,137)(135,141)(136,159)(139,145)(140,156)(144,149)(147,153)(148,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 61)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,100)( 51, 65)( 53, 59)( 54,104)( 57, 68)
        ( 58,108)( 62, 91)( 63, 84)( 66, 96)( 67, 93)( 69, 75)( 70,124)( 71,112)( 73, 79)( 74,128)( 77, 83)( 78,131)
        ( 81, 87)( 82,135)( 85,116)( 86,139)( 89, 95)( 90,117)( 94,118)( 97,103)( 98,140)( 99,119)(101,107)(102,143)
        (105,111)(106,147)(109,115)(110,151)(113,120)(114,152)(121,127)(122,154)(123,149)(125,130)(126,158)(129,134)
        (132,138)(133,159)(136,142)(137,156)(141,146)(144,150)(145,157)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 56)( 51,112)( 52, 73)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 67)( 63, 99)( 64, 92)( 66, 71)( 70, 96)( 74,108)( 75,105)( 77, 83)( 78,134)
        ( 79,124)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93,102)( 94,130)( 98,103)(101,107)(106,127)
        (109,115)(110,149)(111,128)(113,119)(114,153)(117,123)(118,157)(121,126)(122,158)(125,131)(129,146)(132,137)
        (133,159)(135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 33)( 19, 53)( 22, 28)( 23, 59)( 24, 44)( 26, 32)( 27, 63)( 30, 48)( 31, 67)( 34, 39)( 35, 50)
        ( 37, 43)( 38, 72)( 41, 47)( 42, 75)( 45, 55)( 46, 79)( 49, 54)( 51, 71)( 56, 62)( 57, 91)( 58, 83)( 60, 66)
        ( 61, 95)( 64, 70)( 65, 99)( 68, 74)( 69,103)( 73, 78)( 76, 82)( 77,104)( 80, 86)( 81,107)( 84, 87)( 85,111)
        ( 88, 94)( 89,123)( 90,115)( 92, 98)( 93,126)( 96,102)( 97,130)(100,106)(101,134)(105,110)(108,114)(109,135)
        (112,118)(113,138)(116,119)(117,142)(120,125)(121,153)(122,146)(124,129)(127,133)(128,154)(131,137)(132,157)
        (136,141)(139,145)(140,158)(143,148)(144,152)(147,149)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 94)( 40, 66)( 43, 69)( 46, 52)( 47, 59)( 48, 70)( 50, 56)( 51, 90)( 54, 73)( 55, 96)
        ( 58, 64)( 60, 89)( 62, 68)( 63, 71)( 67, 93)( 72, 95)( 74, 80)( 75,108)( 76,100)( 78, 84)( 79,112)( 82, 88)
        ( 83,116)( 86, 92)( 87,120)( 91, 99)( 97,103)( 98,121)(101,104)(102,124)(105,111)(106,135)(107,128)(109,115)
        (110,139)(113,119)(114,142)(117,123)(118,146)(122,127)(125,131)(126,147)(129,132)(130,150)(133,138)(134,154)
        (136,141)(137,158)(140,145)(143,149)(144,159)(148,153)(151,156)(152,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 42)( 26, 32)( 27, 71)( 28, 52)( 30, 36)( 31, 75)( 34, 56)
        ( 35, 79)( 38, 43)( 39, 47)( 40, 65)( 45, 51)( 46, 62)( 49, 55)( 50, 58)( 53, 67)( 54, 84)( 57, 63)( 59, 83)
        ( 61, 66)( 68, 74)( 69, 95)( 70, 87)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 80, 86)( 81,107)( 85, 90)( 88, 91)
        ( 89,108)( 92, 98)( 93,119)( 94,111)( 96,102)( 97,123)(100,106)(101,127)(104,110)(105,131)(109,114)(112,115)
        (113,132)(116,122)(117,143)(118,135)(120,126)(121,146)(124,130)(125,150)(128,134)(129,154)(133,138)(136,139)
        (137,155)(140,145)(141,148)(142,158)(144,149)(147,153)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 41)( 24, 39)( 26, 32)( 27, 71)( 28, 49)( 30, 36)( 31, 75)( 34, 53)
        ( 35, 79)( 40, 64)( 42, 48)( 43, 59)( 44, 65)( 46, 52)( 47, 55)( 50, 67)( 51, 84)( 54, 60)( 56, 83)( 58, 63)
        ( 62, 66)( 68, 74)( 69, 95)( 70, 87)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 80, 86)( 81,107)( 85, 90)( 88, 91)
        ( 89,108)( 92, 98)( 93,119)( 94,111)( 96,102)( 97,123)(100,106)(101,127)(104,110)(105,131)(109,114)(112,115)
        (113,132)(116,122)(117,143)(118,135)(120,126)(121,146)(124,130)(125,150)(128,134)(129,154)(133,138)(136,139)
        (137,155)(140,145)(141,148)(142,158)(144,149)(147,153)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 55)( 29, 35)( 30, 77)( 33, 58)( 34, 81)
        ( 37, 43)( 38, 93)( 39, 63)( 41, 47)( 42, 97)( 45, 66)( 46,101)( 49, 54)( 50, 67)( 52, 57)( 53,106)( 56, 69)
        ( 59, 65)( 60, 92)( 61, 85)( 64, 89)( 68,105)( 70, 76)( 71,113)( 72,107)( 74, 80)( 75,117)( 78, 84)( 79,121)
        ( 82, 88)( 83,125)( 86,109)( 87,129)( 90, 96)( 91,110)( 94,100)( 95,137)( 98,104)( 99,141)(102,108)(103,116)
        (111,140)(112,133)(114,120)(115,142)(118,124)(119,149)(122,128)(123,153)(126,132)(127,154)(130,136)(131,157)
        (134,145)(135,158)(138,144)(139,146)(143,152)(147,151)(148,159)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 35)( 18, 59)( 22, 47)( 23, 43)( 25, 30)( 26, 48)( 28, 34)( 29, 68)( 32, 51)( 33, 71)( 36, 42)
        ( 37, 77)( 38, 63)( 40, 46)( 41, 73)( 44, 50)( 45, 70)( 49, 67)( 52, 58)( 53, 83)( 54, 75)( 56, 62)( 57, 87)
        ( 60, 66)( 61, 91)( 64, 79)( 65, 95)( 69, 74)( 72, 78)( 76, 80)( 81, 86)( 82, 99)( 84, 90)( 85,104)( 88, 94)
        ( 89,107)( 92, 98)( 93,111)( 96,102)( 97,115)(100,103)(101,119)(105,110)(106,123)(108,114)(109,128)(112,118)
        (113,131)(116,122)(117,135)(120,126)(121,139)(124,127)(125,143)(129,134)(130,147)(132,138)(133,152)(136,142)
        (137,154)(140,146)(141,157)(144,150)(145,158)(148,151)(149,159)(153,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 54)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 86)( 38, 44)( 39, 98)( 40, 68)( 42, 48)( 43,102)( 46, 71)( 47,106)( 50, 56)( 51,114)( 52, 72)( 55, 74)
        ( 58, 63)( 59,122)( 60, 90)( 62, 67)( 65, 70)( 66,123)( 69, 94)( 73,110)( 75, 81)( 76,130)( 77,115)( 79, 85)
        ( 80,131)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91,118)( 92,142)( 95,101)( 96,146)( 97,124)( 99,105)(100,149)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,129)(116,126)(119,125)(120,148)(121,143)(127,133)(128,158)
        (132,137)(135,141)(136,159)(139,145)(140,155)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 25, 31)( 26, 74)( 27, 52)( 29, 35)( 30, 78)( 33, 56)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 66)( 41, 47)( 42, 98)( 45, 51)( 46,101)( 49, 55)( 50,105)( 53, 70)( 54,109)( 57, 62)
        ( 58, 68)( 59, 86)( 61, 65)( 64, 69)( 67, 90)( 71, 77)( 72,121)( 73,113)( 75, 81)( 76,125)( 79, 85)( 80,126)
        ( 83, 89)( 84,129)( 87, 93)( 88,133)( 91, 97)( 92,137)( 95,100)( 96,141)( 99,104)(102,108)(103,142)(106,112)
        (107,145)(110,116)(111,149)(114,117)(115,150)(118,124)(119,153)(120,151)(122,128)(123,157)(127,132)(130,136)
        (131,158)(134,140)(135,159)(138,144)(139,155)(143,148)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 32)( 18, 36)( 19, 60)( 23, 40)( 25, 31)( 26, 71)( 27, 48)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 38, 43)( 39, 63)( 41, 47)( 42, 88)( 45, 51)( 46, 91)( 49, 67)( 50, 95)( 53, 59)( 54,107)( 55, 83)( 57, 62)
        ( 58,108)( 61, 66)( 64, 87)( 65,109)( 68, 74)( 69,115)( 70, 99)( 72, 78)( 73,119)( 76, 82)( 77,123)( 80, 86)
        ( 81,127)( 84,103)( 85,131)( 89, 94)( 90,105)( 92, 98)( 93,136)( 96,102)( 97,139)(100,111)(101,143)(104,110)
        (106,135)(112,118)(113,153)(114,146)(116,122)(117,157)(120,126)(121,158)(124,130)(125,159)(128,134)(129,155)
        (132,138)(133,151)(137,142)(140,145)(141,152)(144,148)(147,149)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 60)( 40, 46)( 41, 88)( 44, 50)( 45, 91)( 48, 54)( 49, 95)( 52, 63)( 53, 99)( 56, 62)( 57, 86)
        ( 58, 79)( 61, 83)( 64, 70)( 65,115)( 66,103)( 68, 74)( 69,119)( 72, 78)( 73,123)( 76, 82)( 77,127)( 80,107)
        ( 81,131)( 84, 90)( 85,108)( 89, 94)( 92, 98)( 93,109)( 96,102)( 97,136)(100,106)(101,139)(104,111)(105,143)
        (110,135)(112,118)(113,153)(114,146)(116,122)(117,157)(120,126)(121,158)(124,130)(125,159)(128,134)(129,155)
        (132,138)(133,151)(137,142)(140,145)(141,152)(144,148)(147,149)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 95)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,111)( 60, 66)( 61,119)( 62, 87)( 65, 91)( 69, 99)( 70, 96)( 72, 78)( 73,126)( 74,112)( 76, 82)( 77,130)
        ( 80, 86)( 81,134)( 84, 90)( 85,138)( 88,115)( 89,142)( 93, 98)( 94,120)( 97,117)(100,106)(101,143)(102,118)
        (104,110)(105,146)(108,114)(109,150)(113,122)(116,121)(123,129)(124,153)(125,151)(127,133)(128,157)(131,137)
        (132,158)(135,141)(136,159)(139,145)(140,155)(144,149)(147,152)(148,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 66)( 43, 68)( 46, 52)( 47, 96)( 48, 69)( 50, 56)( 51,100)( 54, 72)( 55,104)
        ( 58, 64)( 59, 94)( 60, 88)( 62, 67)( 63, 95)( 70, 89)( 71, 93)( 73, 79)( 74,116)( 75,108)( 77, 83)( 78,119)
        ( 81, 87)( 82,123)( 85, 91)( 86,127)( 90, 99)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,112)
        (110,139)(113,118)(114,150)(115,143)(117,122)(120,126)(121,151)(124,130)(125,154)(129,134)(132,138)(133,155)
        (136,142)(137,158)(140,145)(141,149)(144,146)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 32)( 18, 36)( 19, 57)( 23, 40)( 25, 31)( 26, 63)( 27, 48)( 29, 35)( 30, 67)( 33, 52)( 34, 71)
        ( 38, 43)( 39, 54)( 41, 47)( 42, 76)( 45, 51)( 46, 79)( 49, 59)( 50, 83)( 53, 58)( 55, 75)( 60, 66)( 61, 95)
        ( 62, 87)( 64, 70)( 65, 99)( 68, 74)( 69,103)( 72, 78)( 73,107)( 77, 82)( 80, 86)( 81,108)( 84, 90)( 85,111)
        ( 88, 91)( 89,115)( 92, 98)( 93,124)( 94,119)( 96,102)( 97,127)(100,106)(101,131)(104,110)(105,135)(109,114)
        (112,118)(113,136)(116,122)(117,139)(120,123)(121,143)(125,130)(126,147)(128,134)(129,151)(132,138)(133,154)
        (137,142)(140,146)(141,155)(144,149)(145,158)(148,150)(152,157)(153,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 44)( 24, 41)( 26, 32)( 27, 68)( 28, 52)( 30, 36)( 31, 72)( 34, 56)
        ( 35, 76)( 38, 43)( 39, 62)( 42, 58)( 45, 51)( 46, 77)( 47, 59)( 49, 55)( 50, 80)( 53, 64)( 54, 84)( 57, 63)
        ( 65, 71)( 66, 96)( 67, 88)( 69, 75)( 70,100)( 73, 79)( 74,104)( 78, 83)( 81, 87)( 82,105)( 85, 91)( 86,108)
        ( 89, 92)( 90,112)( 93, 99)( 94,123)( 95,116)( 97,103)( 98,127)(101,107)(102,131)(106,111)(109,115)(110,132)
        (113,119)(114,135)(117,120)(118,139)(121,126)(122,143)(124,130)(125,148)(128,134)(129,151)(133,138)(136,142)
        (137,152)(140,146)(141,155)(144,147)(145,158)(149,154)(150,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,123)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,129)( 64, 97)( 66, 72)( 67,125)( 70, 76)( 71,121)( 74,101)( 75,139)
        ( 79,119)( 80,116)( 82, 88)( 83,147)( 84,135)( 86, 92)( 87,149)( 90, 96)( 91,153)( 94,100)( 95,154)( 98,133)
        ( 99,157)(102,107)(103,110)(104,143)(106,111)(109,115)(113,118)(114,144)(117,141)(120,126)(122,142)(124,130)
        (128,134)(132,138)(136,146)(137,158)(140,145)(148,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 74)( 31, 63)( 33, 38)( 36, 67)
        ( 37, 75)( 40, 46)( 41, 86)( 42, 68)( 44, 50)( 45, 90)( 48, 54)( 49, 94)( 52, 58)( 53, 98)( 56, 62)( 57,102)
        ( 60, 66)( 61,106)( 64, 71)( 65,110)( 69, 82)( 70, 78)( 72, 77)( 73,114)( 76, 81)( 79,118)( 80,115)( 83, 89)
        ( 84,125)( 85,119)( 87, 93)( 88,129)( 91, 97)( 92,133)( 95,101)( 96,137)( 99,105)(100,138)(103,109)(104,141)
        (107,113)(108,145)(111,117)(112,149)(116,124)(120,121)(122,128)(123,150)(126,132)(127,153)(130,136)(131,157)
        (134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 25)( 17, 27)( 18, 55)( 22, 39)( 23, 35)( 26, 47)( 28, 34)( 29, 71)( 30, 59)( 32, 38)( 33, 74)( 36, 63)
        ( 37, 78)( 40, 46)( 41, 90)( 42, 64)( 44, 50)( 45, 94)( 48, 54)( 49, 98)( 52, 58)( 53,102)( 56, 62)( 57,106)
        ( 60, 67)( 61,110)( 65, 86)( 66, 82)( 68, 73)( 69, 76)( 70,114)( 72, 77)( 75, 81)( 79, 85)( 80,115)( 83,118)
        ( 84,122)( 87, 93)( 88,134)( 89,119)( 91, 97)( 92,138)( 95,101)( 96,142)( 99,105)(100,145)(103,109)(104,149)
        (107,113)(108,153)(111,117)(112,157)(116,125)(120,130)(121,126)(123,129)(124,158)(127,133)(128,159)(131,137)
        (132,155)(135,141)(136,151)(139,144)(140,147)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 31)( 17, 35)( 18, 57)( 22, 46)( 23, 43)( 25, 30)( 26, 69)( 27, 47)( 29, 34)( 32, 49)( 33, 70)( 36, 42)
        ( 37, 81)( 38, 61)( 40, 45)( 41, 85)( 44, 65)( 48, 66)( 50, 56)( 51, 93)( 52, 73)( 54, 60)( 55, 97)( 58, 64)
        ( 59,101)( 62, 77)( 63,105)( 67, 72)( 68, 86)( 71, 76)( 74, 89)( 75, 87)( 78, 84)( 79,117)( 80,109)( 82, 88)
        ( 83, 92)( 90, 96)( 91,118)( 94,100)( 95,121)( 98,104)( 99,125)(102,108)(103,129)(106,112)(107,133)(110,113)
        (111,137)(114,120)(115,146)(116,141)(119,124)(122,128)(123,147)(126,132)(127,149)(130,136)(131,153)(134,140)
        (135,154)(138,144)(139,157)(142,145)(143,158)(148,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 32)( 18, 36)( 19, 62)( 23, 42)( 25, 31)( 26, 70)( 27, 50)( 29, 35)( 30, 74)( 33, 54)( 34, 78)
        ( 37, 41)( 38, 63)( 40, 45)( 43, 49)( 44, 64)( 47, 53)( 48, 60)( 51, 66)( 52, 56)( 55, 61)( 57, 82)( 59, 65)
        ( 67, 73)( 68, 90)( 69, 83)( 71, 77)( 72, 94)( 75, 81)( 76, 98)( 79, 85)( 80,102)( 84, 86)( 87, 93)( 88,110)
        ( 89,103)( 91, 97)( 92,114)( 95,101)( 96,118)( 99,105)(100,122)(104,106)(107,113)(108,130)(109,123)(111,117)
        (112,134)(115,121)(116,138)(119,125)(120,142)(124,126)(127,133)(128,149)(129,143)(131,137)(132,153)(135,141)
        (136,154)(139,145)(140,157)(144,146)(147,152)(148,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 15)( 10, 40)( 11, 21)( 13, 19)( 14, 44)
        ( 17, 24)( 18, 48)( 22, 36)( 23, 32)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 56)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 57)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 80)( 59, 76)
        ( 61, 67)( 62,113)( 63,104)( 65, 71)( 66,116)( 69, 75)( 70,119)( 73, 79)( 74,122)( 77,108)( 78,126)( 81, 87)
        ( 82,138)( 83,109)( 85, 91)( 86,141)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,103)( 98,153)(101,107)(102,132)
        (105,112)(106,128)(110,134)(111,130)(114,118)(115,124)(117,121)(120,125)(123,129)(127,133)(131,154)(135,140)
        (136,157)(137,155)(139,144)(142,148)(143,158)(146,152)(147,159)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 15)( 10, 40)( 11, 21)( 13, 19)( 14, 44)
        ( 17, 24)( 18, 48)( 22, 36)( 23, 32)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 56)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 57)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 80)( 59, 76)
        ( 61, 67)( 62,115)( 63,104)( 65, 71)( 66,116)( 69, 75)( 70,119)( 73, 79)( 74,122)( 77,108)( 78,126)( 81, 87)
        ( 82,138)( 83,109)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,103)( 98,153)(101,107)(102,132)
        (105,112)(106,128)(110,134)(111,130)(113,118)(114,124)(117,121)(120,125)(123,129)(127,133)(131,154)(135,141)
        (136,157)(137,155)(139,144)(140,158)(143,148)(146,152)(147,159)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 15)( 10, 40)( 11, 21)( 13, 19)( 14, 44)
        ( 17, 24)( 18, 48)( 22, 36)( 23, 32)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 56)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 57)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 80)( 59, 76)
        ( 61, 67)( 62,115)( 63,104)( 65, 71)( 66,118)( 69, 75)( 70,119)( 73, 79)( 74,122)( 77,108)( 78,126)( 81, 87)
        ( 82,138)( 83,109)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93, 99)( 94,149)( 97,103)( 98,153)(101,107)(102,132)
        (105,112)(106,128)(110,134)(111,130)(113,117)(114,124)(116,121)(120,125)(123,129)(127,133)(131,154)(135,141)
        (136,157)(137,155)(139,145)(140,158)(143,148)(144,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 77)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 83)( 38, 43)( 39, 95)( 40, 69)( 42, 47)( 45, 72)( 46, 96)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,127)( 63, 87)( 65, 71)( 66,131)( 70, 91)( 74,103)( 75, 99)( 78, 82)( 79,119)
        ( 81, 86)( 84, 90)( 85,120)( 88,123)( 89,139)( 92, 98)( 93,151)( 94,132)( 97,102)(100,135)(101,152)(104,110)
        (105,144)(106,136)(108,114)(109,154)(112,118)(113,155)(116,122)(117,158)(121,142)(124,130)(125,137)(126,143)
        (128,134)(129,150)(133,147)(138,149)(140,146)(141,159)(145,157)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 70)( 30, 49)( 31, 73)( 34, 40)( 35, 85)
        ( 36, 61)( 38, 44)( 39, 89)( 42, 48)( 43, 93)( 46, 65)( 47, 97)( 50, 56)( 51,108)( 52, 77)( 54, 60)( 55,112)
        ( 58, 64)( 59,116)( 62, 81)( 63,119)( 66, 72)( 67,131)( 68,101)( 71, 76)( 74, 80)( 75,132)( 78,104)( 79,135)
        ( 82, 88)( 83,146)( 84,123)( 86, 92)( 87,150)( 90, 96)( 91,153)( 94,100)( 95,157)( 98,103)( 99,130)(102,127)
        (105,111)(106,145)(107,139)(109,115)(110,125)(113,118)(114,121)(117,122)(120,126)(124,143)(128,134)(129,158)
        (133,138)(136,142)(137,159)(140,148)(141,155)(144,149)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 33)( 19, 56)( 22, 28)( 23, 68)( 24, 44)( 26, 32)( 27, 69)( 30, 48)( 31, 72)( 34, 39)( 35, 60)
        ( 37, 43)( 38, 81)( 41, 47)( 42, 84)( 45, 64)( 46, 88)( 49, 55)( 50,100)( 51, 76)( 53, 59)( 54,101)( 57, 63)
        ( 58,104)( 61, 80)( 62,108)( 65, 71)( 66,120)( 67, 92)( 70, 75)( 73, 79)( 74,121)( 77, 96)( 78,124)( 82, 87)
        ( 83,112)( 85, 91)( 86,133)( 89, 95)( 90,136)( 93,116)( 94,140)( 97,103)( 98,147)( 99,128)(102,107)(105,111)
        (106,148)(109,115)(110,145)(113,132)(114,150)(117,123)(118,157)(119,141)(122,127)(125,131)(126,158)(129,143)
        (130,155)(134,139)(135,153)(137,142)(138,160)(144,149)(146,152)(151,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 55)( 51,115)( 52, 76)( 54, 59)
        ( 57, 79)( 58,116)( 61, 66)( 62,123)( 63, 92)( 65, 70)( 68, 74)( 69,124)( 72, 95)( 73,127)( 77,111)( 78,108)
        ( 80, 86)( 81,134)( 82,117)( 84, 90)( 85,138)( 88, 94)( 89,142)( 93,119)( 96,102)( 97,149)( 98,128)(100,106)
        (101,153)(104,110)(105,157)(109,131)(112,118)(113,137)(114,132)(120,126)(121,148)(122,143)(125,130)(129,146)
        (133,158)(135,141)(136,159)(139,145)(140,155)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 51, 56)( 52, 73)( 54, 76)( 55,112)
        ( 58, 64)( 59,119)( 60, 88)( 62, 68)( 63,120)( 66, 71)( 67,123)( 70, 92)( 74,111)( 75,108)( 77, 83)( 78,131)
        ( 79,113)( 82, 87)( 85, 91)( 86,132)( 89,115)( 90,135)( 93, 99)( 94,146)( 95,124)( 97,103)( 98,150)(101,107)
        (102,153)(105,110)(106,157)(109,127)(114,128)(116,122)(117,145)(118,139)(121,126)(125,143)(129,134)(130,158)
        (133,138)(136,142)(137,159)(140,148)(141,155)(144,149)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,115)( 52, 76)( 54, 59)
        ( 55,116)( 58, 79)( 61, 66)( 62,123)( 63, 92)( 65, 70)( 68, 74)( 69,124)( 72, 95)( 73,127)( 77,111)( 78,108)
        ( 80, 86)( 81,137)( 82,117)( 84, 90)( 85,141)( 88, 94)( 89,145)( 93,119)( 96,102)( 97,150)( 98,130)(100,106)
        (101,153)(104,110)(105,157)(109,134)(112,118)(113,140)(114,135)(120,126)(121,132)(122,146)(125,129)(128,133)
        (131,149)(136,158)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 71)( 42, 48)( 43, 99)( 46, 52)( 47,103)( 50, 56)( 51,107)( 54, 59)( 55,111)
        ( 58, 75)( 61, 67)( 62,119)( 63, 87)( 65, 70)( 66,122)( 69, 74)( 72, 91)( 73,123)( 76, 82)( 77,134)( 78,112)
        ( 81, 86)( 84, 90)( 85,135)( 88,115)( 89,138)( 92, 98)( 93,147)( 94,126)( 96,102)( 97,150)(100,106)(101,153)
        (104,110)(105,157)(108,114)(109,133)(113,130)(116,121)(117,128)(118,142)(120,125)(124,129)(127,146)(131,137)
        (132,158)(136,141)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 71)( 42, 48)( 43, 99)( 46, 52)( 47,103)( 50, 56)( 51,107)( 54, 59)( 55,111)
        ( 58, 75)( 61, 67)( 62,119)( 63, 88)( 65, 70)( 66,122)( 69, 74)( 72, 91)( 73,123)( 76, 82)( 77,134)( 78,112)
        ( 80, 86)( 81,138)( 84, 90)( 85,142)( 89,115)( 92, 98)( 93,147)( 94,126)( 96,102)( 97,150)(100,106)(101,154)
        (104,110)(105,158)(108,114)(109,133)(113,130)(116,121)(117,128)(118,143)(120,125)(124,129)(127,146)(131,137)
        (132,159)(135,141)(136,156)(139,145)(140,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 54)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 55, 77)
        ( 58, 64)( 59,119)( 60, 89)( 62, 68)( 63,120)( 66, 72)( 67,123)( 70, 93)( 71,126)( 75,111)( 76,108)( 78, 84)
        ( 79,138)( 80,113)( 83, 88)( 86, 92)( 87,139)( 90,115)( 91,142)( 94, 99)( 95,130)( 97,103)( 98,151)(101,107)
        (102,153)(105,110)(106,157)(109,134)(114,135)(116,122)(117,128)(118,146)(121,125)(124,129)(127,133)(131,150)
        (132,147)(136,141)(137,158)(140,145)(143,149)(144,159)(148,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,111)( 52, 74)( 55, 76)
        ( 58, 64)( 59,119)( 60, 88)( 62, 68)( 63,122)( 66, 72)( 67,123)( 70, 92)( 71,126)( 75,107)( 77, 83)( 78,138)
        ( 79,112)( 82, 87)( 85, 91)( 86,139)( 89,115)( 90,142)( 93, 98)( 94,130)( 96,102)( 97,151)(100,106)(101,153)
        (104,110)(105,157)(108,114)(109,137)(113,134)(116,121)(117,128)(118,146)(120,125)(124,129)(127,133)(131,150)
        (132,147)(135,141)(136,158)(140,145)(143,149)(144,159)(148,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 63)( 41, 47)( 42, 95)( 45, 67)( 46, 99)( 50, 71)( 51, 68)( 53, 58)( 54,115)( 55, 83)
        ( 57, 62)( 60, 66)( 61,116)( 64, 87)( 65,113)( 69,107)( 70,103)( 72, 78)( 73,130)( 74,108)( 77, 82)( 80, 86)
        ( 81,131)( 84,111)( 85,134)( 88, 94)( 89,142)( 90,118)( 92, 98)( 93,145)( 96,102)( 97,146)(100,106)(101,149)
        (104,122)(105,153)(109,126)(110,123)(112,117)(114,121)(119,138)(120,135)(124,129)(125,154)(127,133)(128,159)
        (132,137)(136,160)(139,144)(140,151)(141,157)(143,148)(147,152)(150,156)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 43)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 85)( 34, 59)
        ( 35, 89)( 38, 42)( 39, 70)( 41, 46)( 44, 74)( 45, 71)( 48, 54)( 49,101)( 50, 75)( 52, 58)( 53,105)( 56, 77)
        ( 57,109)( 60, 66)( 61,103)( 62, 93)( 64, 69)( 65, 99)( 68, 73)( 72,100)( 76, 97)( 78, 84)( 79,121)( 80,113)
        ( 82, 88)( 83,125)( 86, 92)( 87,129)( 90, 96)( 91,133)( 94,107)( 95,137)( 98,104)(102,108)(106,112)(110,116)
        (111,138)(114,117)(115,141)(118,124)(119,150)(120,145)(122,128)(123,151)(126,132)(127,153)(130,136)(131,154)
        (134,140)(135,157)(139,144)(142,148)(143,158)(146,149)(147,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 41)( 26, 31)( 27, 79)( 28, 52)( 30, 35)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 67)( 42, 71)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,100)( 53, 75)( 54,103)( 57, 62)
        ( 58,115)( 59, 83)( 61, 66)( 64, 70)( 65,116)( 68, 87)( 69,119)( 73, 95)( 74, 92)( 76, 82)( 77,134)( 78,107)
        ( 81, 86)( 84,111)( 85,135)( 88, 94)( 89,146)( 90,123)( 93,126)( 96,102)( 97,154)( 98,127)(101,106)(104,110)
        (105,155)(108,130)(109,158)(112,118)(113,144)(114,138)(117,122)(120,125)(121,145)(124,142)(128,150)(129,147)
        (131,137)(132,152)(133,159)(136,141)(139,148)(140,153)(143,149)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,102)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,107)( 50, 56)( 51, 67)( 52, 78)( 54, 60)
        ( 55, 63)( 58, 81)( 59, 98)( 62, 68)( 64, 97)( 66, 72)( 70, 76)( 71, 79)( 74,101)( 75,109)( 80,108)( 82, 88)
        ( 83,119)( 84,111)( 86, 92)( 87,123)( 90, 96)( 91,127)( 94,100)( 95,131)( 99,114)(103,106)(105,110)(112,115)
        (113,132)(116,122)(117,142)(118,135)(120,126)(121,146)(124,130)(125,150)(128,134)(129,153)(133,138)(136,139)
        (137,154)(140,145)(141,157)(143,149)(144,158)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,112)( 54, 60)( 55,116)
        ( 58, 76)( 59,117)( 62, 68)( 63,123)( 64, 92)( 66, 71)( 67,127)( 70, 75)( 73, 96)( 74,128)( 77, 83)( 78,134)
        ( 79,114)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93,119)( 94,146)( 97,103)( 98,121)( 99,131)
        (101,107)(102,151)(105,111)(106,154)(109,115)(110,137)(113,118)(120,126)(122,150)(124,130)(125,132)(129,133)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,108)( 51, 56)( 52, 73)( 54, 76)( 55,117)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 71)( 67,130)( 70, 96)( 74,116)( 75,112)( 77, 83)( 78,134)
        ( 79,114)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93,119)( 94,146)( 97,103)( 98,121)( 99,131)
        (101,107)(102,151)(105,111)(106,154)(109,115)(110,137)(113,118)(120,126)(122,150)(124,129)(125,132)(128,133)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 55)( 51, 77)( 53, 59)( 54, 78)
        ( 57, 80)( 58,117)( 61, 67)( 62,124)( 63, 96)( 65, 71)( 66,127)( 69, 75)( 70,131)( 73,100)( 74,132)( 79,116)
        ( 81, 87)( 82,134)( 83,118)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,143)( 97,120)( 98,146)(101,107)
        (102,122)(103,129)(105,111)(106,151)(109,115)(110,154)(113,119)(114,137)(121,126)(123,150)(125,130)(128,133)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 67)( 46,103)( 49, 54)( 50,111)( 51, 68)( 53, 58)( 56, 71)
        ( 57,112)( 60, 66)( 61,119)( 62, 87)( 65, 91)( 69,107)( 70,104)( 72, 78)( 73,126)( 74,113)( 76, 82)( 77,130)
        ( 80, 86)( 81,134)( 84, 90)( 85,135)( 88,115)( 89,138)( 92, 98)( 93,146)( 94,120)( 96,102)( 97,147)(100,106)
        (101,150)(105,122)(108,114)(109,129)(110,123)(116,121)(117,149)(118,142)(124,154)(125,151)(127,133)(128,155)
        (131,137)(132,158)(136,141)(139,145)(140,159)(143,152)(144,157)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 65)( 42, 48)( 43,100)( 46, 69)( 47,104)( 51, 56)( 52, 70)( 54, 73)( 55,112)
        ( 58, 64)( 59,119)( 60, 89)( 63, 68)( 66, 93)( 67,120)( 71,111)( 72,108)( 74, 80)( 75,126)( 76,113)( 78, 84)
        ( 79,130)( 82, 88)( 83,134)( 86, 92)( 87,135)( 90,115)( 91,138)( 94, 99)( 95,146)( 96,117)( 98,103)(101,107)
        (102,147)(105,110)(106,150)(109,122)(114,123)(116,121)(118,142)(124,129)(125,151)(127,133)(128,155)(131,137)
        (132,158)(136,141)(139,145)(140,159)(143,149)(144,157)(148,153)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)(119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 64)( 41, 47)( 42, 98)( 45, 67)( 46,102)( 49, 55)( 50,110)( 51, 68)( 53, 58)( 54,111)
        ( 57, 71)( 60, 66)( 61,118)( 62, 87)( 65, 91)( 69,106)( 70,103)( 72, 78)( 73,126)( 74,112)( 76, 82)( 77,130)
        ( 80, 86)( 81,134)( 84, 90)( 85,135)( 88,114)( 89,138)( 92, 97)( 93,119)( 95,101)( 96,147)( 99,105)(100,150)
        (104,122)(107,113)(108,129)(109,123)(115,121)(116,149)(117,142)(120,146)(124,154)(125,151)(127,133)(128,155)
        (131,137)(132,158)(136,141)(139,145)(140,159)(143,152)(144,157)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 43)( 39, 70)( 41, 47)( 42, 95)( 45, 51)( 46, 98)( 49, 55)( 50,102)( 53, 58)( 54,106)( 57, 74)
        ( 60, 65)( 61,114)( 62, 90)( 64, 69)( 67, 73)( 68,115)( 71, 94)( 72,118)( 75, 81)( 76,130)( 77,107)( 79, 85)
        ( 80,134)( 83, 89)( 84,138)( 87, 93)( 88,139)( 91,110)( 92,142)( 96,101)( 97,122)( 99,105)(100,151)(103,109)
        (104,129)(108,126)(111,117)(112,120)(113,146)(116,121)(119,125)(123,150)(124,147)(127,133)(128,152)(131,137)
        (132,155)(135,141)(136,158)(140,145)(143,149)(144,159)(148,157)(153,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 54)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 65)( 42, 48)( 43,100)( 46, 68)( 47,104)( 50, 56)( 51,112)( 52, 69)( 55, 72)
        ( 58, 64)( 59, 95)( 60, 88)( 63, 67)( 66, 92)( 70,111)( 71,108)( 73, 79)( 74,123)( 75,113)( 77, 83)( 78,127)
        ( 81, 87)( 82,131)( 85, 91)( 86,132)( 89,115)( 90,135)( 93, 99)( 94,116)( 97,103)( 98,143)(101,107)(102,146)
        (105,110)(106,150)(109,119)(114,120)(117,145)(118,139)(121,126)(122,151)(124,130)(125,155)(128,134)(129,158)
        (133,138)(136,142)(137,159)(140,148)(141,157)(144,149)(147,153)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 54)( 30, 36)( 31, 79)( 34, 57)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 65)( 42, 48)( 43, 99)( 46, 68)( 47,103)( 50, 56)( 51,111)( 52, 69)( 55, 71)
        ( 58, 63)( 59, 94)( 60, 87)( 62, 67)( 66, 91)( 70,107)( 72, 78)( 73,123)( 74,112)( 76, 82)( 77,127)( 80, 86)
        ( 81,131)( 84, 90)( 85,132)( 88,115)( 89,135)( 92, 98)( 93,116)( 96,102)( 97,143)(100,106)(101,146)(104,110)
        (105,150)(108,114)(109,122)(113,119)(117,145)(118,139)(120,126)(121,151)(124,130)(125,154)(128,134)(129,158)
        (133,138)(136,142)(137,159)(140,148)(141,156)(144,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 19)(  7, 39)(  8, 16)( 10, 23)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 31)( 17, 35)( 21, 47)( 22, 43)( 24, 30)( 25, 66)( 26, 48)( 28, 34)( 29, 70)( 32, 51)( 33, 74)( 36, 42)
        ( 37, 82)( 38, 56)( 40, 46)( 41, 86)( 44, 58)( 45, 90)( 49, 62)( 50, 59)( 52, 57)( 53, 85)( 54, 78)( 60, 98)
        ( 61, 94)( 63, 69)( 64,114)( 65, 99)( 67, 73)( 68,118)( 71, 77)( 72,122)( 75, 81)( 76,123)( 79,102)( 80,126)
        ( 83, 89)( 84,103)( 87, 93)( 88,134)( 91, 97)( 92,138)( 95,106)( 96,142)(100,110)(101,107)(104,137)(105,130)
        (108,113)(109,143)(111,117)(112,151)(115,121)(116,154)(119,125)(120,158)(124,129)(127,133)(128,159)(131,146)
        (132,156)(135,141)(136,147)(139,145)(140,148)(144,150)(149,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 73)( 30, 49)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 61)( 38, 44)( 39, 92)( 42, 48)( 43, 96)( 46, 65)( 47,100)( 50, 56)( 51,111)( 52, 80)( 54, 60)( 55,115)
        ( 58, 64)( 59,119)( 62, 84)( 63,123)( 66, 72)( 67,134)( 68,104)( 70, 76)( 71,138)( 74, 79)( 75,142)( 78, 83)
        ( 81,107)( 82,143)( 85, 91)( 86,109)( 87,126)( 89, 95)( 90,147)( 93, 99)( 94,150)( 97,103)( 98,154)(101,106)
        (102,133)(105,130)(108,114)(110,146)(112,118)(113,127)(116,122)(117,158)(120,125)(121,159)(124,129)(128,160)
        (131,137)(132,155)(135,141)(136,156)(139,145)(140,152)(144,149)(148,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 76)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,120)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,132)( 73, 99)( 74,135)( 78,111)
        ( 79,108)( 81, 86)( 82,145)( 83,121)( 85, 90)( 88, 94)( 89,146)( 92, 98)( 93,149)( 96,123)( 97,153)(100,106)
        (101,125)(102,138)(104,110)(105,158)(109,141)(112,118)(113,151)(114,142)(116,122)(117,148)(124,130)(126,157)
        (128,134)(129,139)(133,137)(136,140)(143,155)(144,159)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 51, 56)( 52, 73)( 54, 76)( 55,116)
        ( 58, 64)( 59,126)( 60, 91)( 62, 68)( 63,127)( 66, 71)( 67,130)( 70, 95)( 74,115)( 75,111)( 77, 83)( 78,137)
        ( 79,118)( 81, 87)( 82,141)( 85, 90)( 86,145)( 89, 94)( 92,122)( 93,146)( 96,102)( 97,124)( 98,131)(100,106)
        (101,150)(104,110)(105,153)(108,114)(109,157)(112,120)(113,136)(117,121)(119,133)(123,129)(125,149)(128,132)
        (134,140)(135,158)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 51, 56)( 52, 73)( 54, 76)( 55,116)
        ( 58, 64)( 59,126)( 60, 91)( 62, 68)( 63,129)( 66, 71)( 67,130)( 70, 95)( 74,115)( 75,111)( 77, 83)( 78,137)
        ( 79,119)( 81, 87)( 82,141)( 85, 90)( 86,145)( 89, 94)( 92,122)( 93,146)( 96,102)( 97,124)( 98,131)(100,106)
        (101,150)(104,110)(105,153)(108,114)(109,157)(112,118)(113,136)(117,121)(120,133)(123,128)(125,149)(127,132)
        (134,140)(135,158)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,119)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,121)( 62, 68)( 63,127)( 64, 92)( 66, 72)( 67,130)( 71, 96)( 75,115)( 76,112)( 78, 83)
        ( 79,137)( 80,117)( 82, 87)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93,123)( 94,145)( 97,103)( 98,125)( 99,131)
        (101,107)(102,150)(105,111)(106,153)(109,114)(110,157)(113,133)(116,122)(118,134)(124,129)(126,149)(128,132)
        (135,140)(136,158)(139,144)(142,148)(143,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 98)( 40, 69)( 42, 48)( 43,102)( 46, 73)( 47,106)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,118)( 58, 76)( 59,119)( 62, 68)( 63,130)( 64, 91)( 67, 72)( 70, 95)( 71,131)( 75,110)( 77, 82)( 78,137)
        ( 79,122)( 81, 86)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,126)( 93,145)( 96,101)( 97,128)( 99,105)(100,150)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,136)(115,121)(116,124)(120,125)(123,133)(127,132)(129,149)
        (134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 98)( 40, 69)( 42, 48)( 43,102)( 46, 73)( 47,106)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,118)( 58, 76)( 59,119)( 62, 68)( 63,130)( 64, 91)( 67, 72)( 70, 95)( 71,131)( 75,110)( 77, 83)( 78,137)
        ( 79,122)( 81, 87)( 82,141)( 85, 90)( 86,145)( 89, 94)( 92,126)( 93,146)( 96,101)( 97,128)( 99,105)(100,150)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,136)(115,121)(116,124)(120,125)(123,133)(127,132)(129,149)
        (134,140)(135,158)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 55)( 51,118)( 52, 76)( 54, 59)
        ( 57, 79)( 58,119)( 61, 66)( 62,130)( 63, 94)( 65, 70)( 68, 74)( 69,131)( 72, 98)( 73,128)( 77,114)( 78,110)
        ( 80, 85)( 81,141)( 82,122)( 84, 89)( 87, 93)( 88,142)( 91, 97)( 92,145)( 95,126)( 96,149)(100,105)(101,133)
        (103,109)(104,154)(107,113)(108,157)(111,117)(112,140)(115,121)(116,124)(120,125)(123,137)(127,132)(129,136)
        (134,153)(135,150)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 55)( 51,118)( 52, 76)( 54, 59)
        ( 57, 79)( 58,119)( 61, 66)( 62,130)( 63, 94)( 65, 70)( 68, 74)( 69,131)( 72, 98)( 73,128)( 77,114)( 78,110)
        ( 80, 86)( 81,141)( 82,122)( 84, 90)( 85,145)( 88, 93)( 89,149)( 92, 97)( 95,126)( 96,150)(100,105)(101,133)
        (103,109)(104,154)(107,113)(108,157)(111,117)(112,140)(115,121)(116,124)(120,125)(123,137)(127,132)(129,136)
        (134,153)(135,151)(138,144)(139,158)(142,148)(143,159)(146,152)(147,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 72)( 47,106)( 50, 56)( 51,118)( 52, 73)( 55, 76)
        ( 58, 63)( 59, 66)( 60, 91)( 62, 67)( 65, 71)( 69, 95)( 70, 92)( 74,114)( 75,110)( 77, 82)( 78,133)( 79,119)
        ( 81, 86)( 84, 90)( 85,134)( 88, 94)( 89,137)( 93,125)( 96,102)( 97,142)( 98,122)(100,105)(101,145)(104,109)
        (107,113)(108,146)(111,126)(112,149)(115,121)(116,154)(117,127)(120,129)(123,141)(124,138)(128,153)(130,136)
        (131,159)(132,155)(135,140)(139,160)(143,148)(144,157)(147,152)(150,156)(151,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 33)( 19, 56)( 22, 28)( 23, 68)( 24, 44)( 26, 32)( 27, 72)( 30, 48)( 31, 76)( 34, 39)( 35, 60)
        ( 37, 43)( 38, 85)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,103)( 51, 80)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 84)( 62,114)( 65, 71)( 66,126)( 67, 96)( 69, 75)( 70,130)( 73, 79)( 74,131)( 77, 83)( 78,134)
        ( 81, 99)( 82,138)( 86, 91)( 87,118)( 89, 95)( 90,147)( 93, 98)( 94,125)( 97,122)(100,105)(101,108)(102,142)
        (104,109)(107,113)(111,117)(112,143)(115,121)(116,150)(119,146)(120,153)(123,129)(124,148)(127,133)(128,158)
        (132,137)(135,141)(136,159)(139,145)(140,155)(144,152)(149,157)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 44)( 24, 40)( 26, 32)( 27, 75)( 28, 52)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 39, 43)( 41, 67)( 42, 64)( 45, 51)( 46, 99)( 47, 68)( 49, 55)( 50,103)( 53, 71)( 54,107)( 57, 62)
        ( 58, 93)( 59, 87)( 61, 66)( 65, 94)( 69, 95)( 70, 91)( 72, 78)( 73,116)( 74,111)( 76, 82)( 77,119)( 80, 86)
        ( 81,123)( 84, 90)( 85,127)( 88, 97)( 89,131)( 92, 98)( 96,102)(100,106)(101,132)(104,110)(105,135)(108,114)
        (109,139)(112,115)(113,142)(117,122)(118,146)(120,126)(121,151)(124,130)(125,153)(128,134)(129,157)(133,138)
        (136,141)(137,158)(140,145)(143,149)(144,159)(147,150)(148,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 25)( 17, 28)( 18, 55)( 22, 35)( 23, 31)( 26, 47)( 27, 43)( 30, 34)( 32, 59)( 33, 56)( 36, 42)( 37, 75)
        ( 38, 60)( 40, 46)( 41, 79)( 44, 63)( 45, 83)( 48, 54)( 49, 95)( 50, 64)( 52, 58)( 53, 99)( 57, 70)( 61, 71)
        ( 62, 67)( 65, 91)( 66, 87)( 68, 74)( 69,100)( 72, 78)( 73,107)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88,103)( 89,122)( 92, 98)( 93,134)( 94,104)( 96,102)( 97,138)(101,110)(105,130)(106,126)(108,114)
        (109,139)(112,118)(113,145)(116,121)(117,149)(120,125)(123,129)(124,150)(127,142)(128,153)(131,137)(132,157)
        (133,143)(135,141)(136,158)(140,148)(144,154)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 25)( 17, 28)( 18, 55)( 22, 35)( 23, 31)( 26, 47)( 27, 43)( 30, 34)( 32, 59)( 33, 56)( 36, 42)( 37, 75)
        ( 38, 60)( 40, 46)( 41, 76)( 44, 63)( 45, 79)( 48, 54)( 49, 91)( 50, 64)( 52, 58)( 53, 95)( 57, 70)( 61, 71)
        ( 62, 67)( 65, 87)( 66, 83)( 68, 99)( 69, 96)( 72, 78)( 73,115)( 74,100)( 77, 82)( 80, 86)( 81,116)( 84,103)
        ( 85,119)( 88, 94)( 89,131)( 90,104)( 92, 98)( 93,135)( 97,110)(101,111)(102,107)(105,127)(106,123)(108,139)
        (109,136)(112,118)(113,149)(114,140)(117,122)(120,126)(121,150)(124,142)(125,153)(128,134)(129,157)(130,143)
        (132,138)(133,158)(137,148)(141,145)(144,154)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 77)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,116)( 55, 84)
        ( 57, 63)( 58,120)( 61, 67)( 62,121)( 65, 88)( 66,122)( 70,108)( 71,104)( 73, 79)( 74,131)( 75,109)( 78, 83)
        ( 81, 87)( 82,132)( 85,112)( 86,135)( 89, 95)( 90,114)( 91,118)( 93, 99)( 94,140)( 97,103)( 98,143)(101,107)
        (102,147)(105,124)(106,150)(110,127)(111,125)(113,119)(115,139)(117,123)(126,154)(128,134)(129,157)(130,155)
        (133,138)(136,142)(137,158)(141,146)(144,149)(145,159)(148,153)(151,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 75)( 28, 53)( 30, 36)( 31, 79)( 34, 57)
        ( 35, 83)( 39, 44)( 40, 66)( 42, 68)( 43, 63)( 46, 52)( 47, 88)( 48, 69)( 50, 56)( 51, 91)( 54, 71)( 55, 95)
        ( 58, 64)( 59, 70)( 60, 87)( 62, 67)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 89, 94)( 92, 98)( 93,120)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,138)(106,131)(108,114)
        (109,141)(112,118)(113,145)(116,122)(117,149)(121,126)(124,130)(125,150)(128,134)(129,153)(132,135)(133,157)
        (136,140)(137,158)(139,144)(142,148)(143,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 43, 73)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,127)( 60, 92)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 96)( 71,136)( 75,104)( 76,101)( 78, 84)
        ( 79,142)( 80,120)( 82, 87)( 83,146)( 86, 91)( 89, 95)( 90,147)( 93,123)( 94,150)( 97,103)( 98,129)( 99,133)
        (102,125)(105,111)(106,151)(107,126)(109,115)(110,154)(113,119)(114,158)(117,122)(118,141)(121,138)(124,130)
        (128,134)(132,137)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,117)( 62, 68)( 63,127)( 64, 92)( 67, 72)( 70, 96)( 71,128)( 75,108)( 76,105)( 78, 83)
        ( 79,138)( 80,120)( 82, 87)( 85, 91)( 86,139)( 89, 95)( 90,142)( 93,123)( 94,146)( 98,103)( 99,125)(101,107)
        (102,151)(106,130)(109,115)(110,157)(111,131)(113,119)(114,137)(118,122)(121,134)(124,129)(126,150)(132,154)
        (133,152)(135,141)(136,158)(140,145)(143,149)(144,159)(147,153)(148,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 93)( 40, 65)( 42, 48)( 43, 96)( 46, 69)( 47,100)( 51, 56)( 52, 70)( 54, 73)( 55,109)
        ( 58, 64)( 59,119)( 60, 88)( 63, 68)( 66, 92)( 67,120)( 71,108)( 72,104)( 74, 80)( 75,130)( 76,112)( 78, 83)
        ( 79,134)( 82, 87)( 85, 91)( 86,135)( 89,115)( 90,138)( 94, 99)( 95,117)( 97,103)( 98,143)(101,107)(102,146)
        (105,122)(106,150)(110,114)(111,123)(113,126)(116,121)(118,142)(124,129)(125,151)(127,133)(128,155)(131,137)
        (132,157)(136,141)(139,145)(140,158)(144,149)(147,153)(148,159)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,115)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,122)( 62, 68)( 63, 98)( 64, 91)( 67, 71)( 70, 95)( 74,111)( 75,108)( 77, 82)( 78,138)
        ( 79,123)( 81, 86)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92,126)( 93,146)( 96,102)( 97,127)(100,106)(101,128)
        (104,110)(105,151)(109,130)(112,118)(113,157)(114,131)(116,121)(117,137)(120,125)(124,134)(129,150)(132,154)
        (133,152)(135,141)(136,158)(140,145)(143,149)(144,159)(147,153)(148,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 42)( 26, 32)( 27, 78)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 86)( 38, 44)( 39, 95)( 40, 68)( 43, 71)( 46, 52)( 47,102)( 48, 72)( 50, 56)( 51,106)( 54, 75)( 55,110)
        ( 58, 63)( 59,118)( 60, 90)( 62, 67)( 65, 70)( 66,119)( 69, 94)( 73, 98)( 74, 96)( 76, 81)( 77,114)( 79, 85)
        ( 80,123)( 83, 89)( 84,126)( 87, 93)( 88,130)( 91,100)( 92,134)( 97,120)( 99,105)(101,121)(103,109)(104,135)
        (107,113)(108,138)(111,117)(112,142)(115,122)(116,146)(124,129)(125,150)(127,133)(128,154)(131,137)(132,157)
        (136,141)(139,145)(140,158)(143,149)(144,159)(147,152)(148,156)(151,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 66)( 42, 47)( 43, 93)( 46, 68)( 49, 55)( 50, 96)( 51, 69)( 53, 59)( 54,100)
        ( 57, 72)( 58,104)( 61, 67)( 62, 95)( 63, 88)( 70, 89)( 71, 94)( 73, 79)( 74,116)( 75,108)( 77, 83)( 78,120)
        ( 81, 87)( 82,124)( 85, 91)( 86,128)( 90, 99)( 97,103)( 98,129)(101,107)(102,132)(105,111)(106,136)(109,112)
        (110,140)(113,119)(114,150)(115,143)(117,123)(118,153)(121,127)(122,154)(125,131)(126,157)(130,135)(133,139)
        (134,158)(137,142)(138,149)(141,145)(144,146)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 32)( 18, 36)( 19, 59)( 23, 40)( 25, 31)( 26, 70)( 27, 48)( 29, 35)( 30, 74)( 33, 52)( 34, 78)
        ( 38, 43)( 39, 62)( 41, 47)( 42, 87)( 45, 51)( 46, 90)( 49, 66)( 50, 94)( 53, 58)( 54, 64)( 55, 82)( 57, 61)
        ( 60, 65)( 63, 86)( 67, 73)( 68,106)( 69, 98)( 71, 77)( 72,110)( 75, 81)( 76,114)( 79, 85)( 80,118)( 83, 89)
        ( 84,122)( 88, 93)( 91, 97)( 92,123)( 95,101)( 96,126)( 99,102)(100,130)(103,109)(104,142)(105,134)(107,113)
        (108,145)(111,117)(112,146)(115,121)(116,149)(119,125)(120,153)(124,129)(127,133)(128,154)(131,137)(132,157)
        (135,138)(136,158)(139,144)(140,151)(141,159)(143,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 44)( 24, 42)( 26, 32)( 27, 67)( 28, 52)( 30, 36)( 31, 71)( 34, 56)
        ( 35, 75)( 38, 43)( 39, 47)( 40, 58)( 45, 51)( 46, 80)( 49, 55)( 50, 83)( 53, 63)( 54, 87)( 57, 62)( 59, 79)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 90)( 85,112)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,128)( 98,123)(100,106)(101,131)(104,110)(105,135)(108,114)
        (109,139)(113,118)(116,122)(117,140)(120,126)(121,143)(124,127)(125,147)(129,134)(130,151)(132,138)(133,155)
        (136,142)(137,158)(141,146)(144,150)(145,159)(148,153)(149,157)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 54)
        ( 15, 32)( 17, 36)( 18, 55)( 22, 47)( 23, 44)( 25, 31)( 26, 66)( 27, 48)( 29, 35)( 30, 70)( 33, 50)( 34, 74)
        ( 37, 43)( 38, 86)( 39, 58)( 41, 46)( 42, 90)( 45, 62)( 49, 63)( 51, 57)( 52, 98)( 53, 78)( 56, 61)( 59, 82)
        ( 60, 99)( 64, 69)( 65, 91)( 67, 73)( 68,106)( 71, 77)( 72,109)( 75, 81)( 76,113)( 79, 94)( 80,117)( 83, 89)
        ( 84,129)( 85,102)( 87, 93)( 88,133)( 92,105)( 95,101)( 96,128)( 97,121)(100,104)(103,125)(107,112)(108,134)
        (110,116)(111,142)(114,120)(115,145)(118,124)(119,149)(122,137)(123,150)(126,132)(127,138)(130,136)(131,157)
        (135,141)(139,160)(140,153)(143,148)(144,158)(146,152)(147,155)(151,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 69)( 43, 94)( 46, 52)( 47, 90)( 48, 70)( 50, 56)( 51, 99)( 54, 73)( 55,103)
        ( 58, 64)( 59, 71)( 60, 89)( 62, 68)( 63, 97)( 67, 93)( 72, 96)( 74, 80)( 75,115)( 76,107)( 78, 84)( 79,119)
        ( 82, 88)( 83,123)( 86, 92)( 87,127)( 91,102)( 95, 98)(100,106)(101,128)(104,110)(105,131)(108,111)(109,135)
        (112,118)(113,144)(114,139)(116,122)(117,145)(120,126)(121,147)(124,130)(125,151)(129,134)(132,138)(133,152)
        (136,142)(137,155)(140,143)(141,158)(146,150)(148,154)(149,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 53)( 16, 27)( 18, 29)( 19, 57)( 23, 41)( 24, 37)( 28, 49)( 30, 36)( 31, 72)( 32, 61)( 34, 40)( 35, 73)
        ( 38, 65)( 39, 76)( 42, 48)( 43, 88)( 44, 66)( 46, 52)( 47, 92)( 50, 56)( 51, 96)( 54, 60)( 55,100)( 58, 64)
        ( 59,104)( 62, 69)( 63,108)( 67, 84)( 68, 80)( 70, 75)( 71,112)( 74, 79)( 77, 83)( 78,113)( 81,116)( 82,120)
        ( 85, 91)( 86,132)( 87,117)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,103)( 98,142)(101,107)(102,146)(105,111)
        (106,150)(109,115)(110,154)(114,123)(118,128)(119,124)(121,127)(122,155)(125,158)(126,156)(129,135)(130,148)
        (131,159)(133,138)(134,144)(137,141)(140,145)(143,149)(147,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 53)( 16, 27)( 18, 29)( 19, 57)( 23, 41)( 24, 37)( 28, 49)( 30, 36)( 31, 73)( 32, 61)( 34, 40)( 35, 74)
        ( 38, 65)( 39, 77)( 42, 48)( 43, 89)( 44, 66)( 46, 52)( 47, 93)( 50, 56)( 51, 97)( 54, 60)( 55,101)( 58, 64)
        ( 59,105)( 62, 69)( 63,109)( 67, 85)( 68, 81)( 70, 76)( 71,121)( 72,110)( 75, 80)( 78, 84)( 79,122)( 82,113)
        ( 83,125)( 86, 92)( 87,136)( 88,114)( 90, 96)( 91,140)( 94,100)( 95,143)( 98,104)( 99,146)(102,108)(103,150)
        (106,112)(107,154)(111,117)(115,132)(116,128)(118,124)(119,130)(120,155)(123,127)(126,131)(129,158)(133,139)
        (134,152)(135,159)(137,142)(138,148)(141,145)(144,149)(147,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 53)( 16, 27)( 18, 29)( 19, 57)( 23, 41)( 24, 37)( 28, 49)( 30, 36)( 31, 72)( 32, 61)( 34, 40)( 35, 76)
        ( 38, 65)( 39, 77)( 42, 48)( 43, 88)( 44, 66)( 46, 52)( 47, 92)( 50, 56)( 51, 96)( 54, 60)( 55,100)( 58, 64)
        ( 59,104)( 62, 69)( 63,108)( 67, 84)( 68, 80)( 70, 75)( 71,112)( 73, 79)( 74,121)( 78, 83)( 81,116)( 82,122)
        ( 85, 91)( 86,132)( 87,117)( 89, 95)( 90,135)( 93, 99)( 94,138)( 97,103)( 98,142)(101,107)(102,146)(105,111)
        (106,149)(109,115)(110,153)(113,120)(114,154)(118,128)(119,124)(123,127)(125,157)(126,155)(129,134)(130,140)
        (131,158)(133,137)(136,141)(139,145)(143,148)(144,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 53)( 16, 27)( 18, 29)( 19, 57)( 23, 41)( 24, 37)( 28, 49)( 30, 36)( 31, 73)( 32, 61)( 34, 40)( 35, 77)
        ( 38, 65)( 39, 78)( 42, 48)( 43, 89)( 44, 66)( 46, 52)( 47, 93)( 50, 56)( 51, 97)( 54, 60)( 55,101)( 58, 64)
        ( 59,105)( 62, 69)( 63,109)( 67, 85)( 68, 81)( 70, 76)( 71,121)( 72,110)( 74, 80)( 75,124)( 79, 84)( 82,113)
        ( 83,125)( 86, 92)( 87,136)( 88,114)( 90, 96)( 91,139)( 94,100)( 95,142)( 98,104)( 99,146)(102,108)(103,150)
        (106,112)(107,153)(111,117)(115,132)(116,128)(118,123)(119,130)(120,154)(122,127)(126,131)(129,157)(133,138)
        (134,144)(135,158)(137,141)(140,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 15)( 10, 40)( 11, 21)( 13, 19)( 14, 44)
        ( 17, 24)( 18, 48)( 22, 36)( 23, 32)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 56)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 57)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 80)( 59, 76)
        ( 61, 67)( 62,116)( 63,104)( 65, 71)( 66,117)( 69, 75)( 70,118)( 73, 79)( 74,114)( 77,108)( 78,120)( 81, 87)
        ( 82,132)( 83,109)( 85, 91)( 86,136)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,103)( 98,146)(101,107)(102,150)
        (105,112)(106,154)(110,128)(111,124)(113,119)(115,123)(121,127)(122,155)(125,158)(126,156)(129,135)(130,148)
        (131,159)(133,138)(134,144)(137,141)(140,145)(143,149)(147,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 56)( 51,114)( 52, 73)( 55, 76)
        ( 58, 63)( 59,122)( 60, 88)( 62, 67)( 65, 71)( 66,123)( 69, 92)( 70,120)( 74,110)( 75,107)( 77, 83)( 78,137)
        ( 79,115)( 82, 87)( 85, 91)( 86,138)( 89,118)( 90,141)( 93, 98)( 94,149)( 95,125)( 97,102)(100,106)(101,150)
        (104,109)(105,153)(108,129)(111,117)(112,136)(113,130)(116,133)(119,124)(121,128)(126,145)(127,142)(131,157)
        (132,154)(134,140)(135,158)(139,144)(143,159)(146,152)(147,155)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 24)(  4,  9)(  6, 11)(  7, 23)(  8, 16)( 10, 20)( 13, 19)( 14, 36)( 15, 25)
        ( 17, 28)( 18, 40)( 21, 27)( 22, 29)( 26, 32)( 30, 35)( 31, 44)( 33, 39)( 34, 49)( 37, 43)( 38, 52)( 41, 47)
        ( 42, 56)( 45, 48)( 46, 60)( 50, 55)( 51, 64)( 53, 59)( 54, 69)( 57, 63)( 58, 72)( 61, 67)( 62, 76)( 65, 68)
        ( 66, 80)( 70, 75)( 71, 84)( 73, 79)( 74, 89)( 77, 83)( 78, 92)( 81, 87)( 82, 96)( 85, 88)( 86,100)( 90, 95)
        ( 91,104)( 93, 99)( 94,109)( 97,103)( 98,112)(101,107)(102,116)(105,108)(106,120)(110,115)(111,124)(113,119)
        (114,129)(117,123)(118,132)(121,127)(122,136)(125,128)(126,140)(130,135)(131,144)(133,139)(134,149)(137,143)
        (138,151)(141,147)(142,155)(145,148)(146,158)(150,154)(152,157)(153,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 72)( 41, 47)( 42,101)( 45, 76)( 46,103)( 49, 55)( 50, 66)( 51, 77)( 53, 59)( 54, 62)
        ( 57, 80)( 58, 97)( 61, 67)( 63, 96)( 65, 71)( 69, 75)( 70, 78)( 73,100)( 74,105)( 79,104)( 81, 87)( 82,115)
        ( 83,107)( 85, 91)( 86,119)( 89, 95)( 90,123)( 93, 99)( 94,127)( 98,110)(102,106)(108,111)(109,128)(112,118)
        (113,138)(114,131)(116,122)(117,142)(120,126)(121,146)(124,130)(125,150)(129,134)(132,135)(133,151)(136,141)
        (137,154)(139,145)(140,155)(143,149)(144,158)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 63)( 27, 52)( 29, 35)( 30, 67)( 33, 39)( 34, 71)( 37, 56)
        ( 38, 75)( 41, 47)( 42, 86)( 43, 57)( 45, 51)( 46, 90)( 49, 55)( 50, 94)( 53, 60)( 54, 98)( 58, 82)( 59, 79)
        ( 61, 66)( 62,102)( 64, 70)( 65,111)( 68, 74)( 69,114)( 72, 78)( 73,118)( 76, 81)( 77,109)( 80,106)( 83, 89)
        ( 84,122)( 85,107)( 87, 93)( 88,126)( 91, 97)( 92,130)( 95,101)( 96,134)( 99,105)(100,138)(103,110)(104,141)
        (108,119)(112,117)(113,145)(115,121)(116,150)(120,125)(123,129)(124,151)(127,133)(128,153)(131,137)(132,154)
        (135,140)(136,157)(139,144)(142,148)(143,158)(146,149)(147,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 63)( 27, 52)( 29, 35)( 30, 67)( 33, 39)( 34, 71)( 37, 56)
        ( 38, 75)( 41, 47)( 42, 86)( 43, 57)( 45, 51)( 46, 90)( 49, 55)( 50, 94)( 53, 60)( 54, 98)( 58, 82)( 59, 79)
        ( 61, 66)( 62,102)( 64, 70)( 65,111)( 68, 74)( 69,114)( 72, 78)( 73,118)( 76, 81)( 77,109)( 80,106)( 83, 89)
        ( 84,122)( 85,107)( 87, 93)( 88,126)( 91, 97)( 92,130)( 95,101)( 96,134)( 99,105)(100,138)(103,110)(104,142)
        (108,119)(112,117)(113,145)(115,121)(116,150)(120,125)(123,129)(124,151)(127,133)(128,153)(131,137)(132,154)
        (135,141)(136,157)(139,144)(140,158)(143,148)(146,149)(147,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,102)( 46, 77)( 47,106)( 50, 56)( 51,118)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,126)( 62, 68)( 63,134)( 64, 92)( 66, 72)( 67,138)( 70, 76)( 71,142)( 74, 95)( 75,146)
        ( 79,114)( 80,110)( 83, 87)( 85, 91)( 86,127)( 89, 94)( 90,133)( 93,130)( 96,101)( 97,104)( 98,150)(100,105)
        (103,109)(107,113)(108,151)(111,154)(112,158)(115,121)(116,144)(117,155)(119,125)(120,140)(123,129)(124,136)
        (128,132)(131,137)(135,141)(139,145)(143,149)(147,153)(148,156)(152,160)(157,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 72)( 41, 47)( 42, 99)( 45, 76)( 46,102)( 49, 55)( 50,114)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,122)( 61, 67)( 62,130)( 63, 87)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 91)( 74,139)( 78,110)
        ( 79,106)( 82, 86)( 84, 90)( 85,123)( 88,126)( 89,150)( 92, 98)( 93,108)( 94,142)( 96,101)( 97,104)(100,105)
        (103,109)(107,146)(111,117)(112,128)(113,147)(115,121)(116,155)(119,125)(120,158)(124,153)(127,133)(129,154)
        (131,137)(132,148)(135,141)(136,144)(140,145)(143,149)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 28)(  7, 15)(  9, 23)( 10, 39)( 11, 20)( 13, 18)( 14, 24)
        ( 16, 27)( 17, 48)( 21, 35)( 22, 31)( 25, 47)( 26, 43)( 29, 34)( 30, 51)( 32, 55)( 33, 64)( 36, 42)( 37, 75)
        ( 38, 56)( 40, 46)( 41, 79)( 44, 59)( 45, 83)( 49, 54)( 50, 60)( 52, 63)( 53, 92)( 57, 71)( 58, 67)( 61, 91)
        ( 62, 87)( 65, 70)( 66, 95)( 68, 99)( 69,108)( 72, 78)( 73,119)( 74,100)( 76, 82)( 77,123)( 80, 86)( 81,127)
        ( 84, 90)( 85,130)( 88,103)( 89,134)( 93, 98)( 94,104)( 96,107)( 97,143)(101,115)(102,111)(105,142)(106,138)
        (109,114)(110,146)(112,149)(113,158)(116,122)(117,140)(118,150)(120,126)(121,136)(124,129)(125,132)(128,133)
        (131,137)(135,141)(139,153)(144,148)(145,154)(147,157)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 92)( 45, 51)( 46, 96)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,114)( 59, 80)( 61, 67)( 62,118)( 66, 84)( 69, 75)( 70,126)( 71,107)( 73, 79)( 74,130)( 78, 83)( 81,110)
        ( 82,131)( 85, 91)( 86,142)( 87,119)( 89, 95)( 90,146)( 93, 99)( 94,150)( 97,103)( 98,153)(101,106)(102,125)
        (105,109)(108,122)(111,117)(112,140)(113,134)(115,121)(116,141)(120,138)(123,129)(124,154)(127,133)(128,157)
        (132,137)(135,144)(136,158)(139,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 56)( 51,111)( 52, 73)( 55, 76)
        ( 58, 63)( 59,118)( 60, 88)( 62, 67)( 65, 71)( 66,119)( 69, 92)( 70,122)( 74,110)( 75,107)( 77, 83)( 78,134)
        ( 79,112)( 81, 87)( 82,138)( 86, 91)( 89,114)( 90,139)( 93, 98)( 94,126)( 96,102)( 97,147)(100,106)(101,150)
        (104,109)(105,153)(108,130)(113,131)(115,121)(116,124)(117,142)(120,125)(123,129)(127,146)(128,143)(132,137)
        (133,154)(135,141)(136,159)(140,145)(144,160)(148,152)(149,157)(151,156)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 54)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 94)( 40, 68)( 42, 48)( 43, 98)( 46, 72)( 47,102)( 50, 56)( 51,110)( 52, 73)( 55, 75)
        ( 58, 63)( 59,118)( 60, 87)( 62, 67)( 65, 71)( 66,119)( 69, 91)( 70,122)( 74,106)( 76, 82)( 77,134)( 78,111)
        ( 80, 86)( 81,138)( 85, 90)( 88,114)( 89,139)( 92, 97)( 93,126)( 95,101)( 96,147)( 99,105)(100,150)(103,109)
        (104,153)(107,113)(108,133)(112,130)(115,121)(116,124)(117,142)(120,125)(123,129)(127,146)(128,143)(131,137)
        (132,154)(135,141)(136,159)(140,145)(144,160)(148,152)(149,157)(151,156)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 33)( 18, 37)( 19, 60)( 23, 48)( 24, 45)( 26, 32)( 27, 72)( 28, 50)( 30, 36)( 31, 75)( 34, 52)
        ( 35, 79)( 38, 44)( 39, 91)( 40, 64)( 42, 47)( 43, 95)( 46, 68)( 51, 69)( 53, 59)( 54,103)( 55, 83)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 87)( 66,115)( 70, 74)( 71, 96)( 73, 78)( 76, 82)( 77, 97)( 80, 86)( 81, 93)
        ( 84, 99)( 85, 89)( 88, 94)( 90,119)( 92, 98)(100,106)(101,127)(102,120)(104,110)(105,131)(108,114)(109,135)
        (112,118)(113,139)(116,122)(117,143)(121,123)(124,130)(125,151)(126,144)(128,134)(129,152)(132,138)(133,155)
        (136,142)(137,158)(140,146)(141,150)(145,147)(148,154)(149,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 32)( 18, 36)( 19, 60)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 71)( 50, 68)( 53, 59)( 54,103)( 55, 83)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 87)( 66,115)( 69, 74)( 70, 96)( 73, 78)( 76, 82)( 77, 97)( 80, 86)( 81, 93)
        ( 84, 99)( 85, 89)( 88, 94)( 90,119)( 92, 98)(100,106)(101,127)(102,120)(104,110)(105,131)(108,114)(109,135)
        (112,118)(113,139)(116,122)(117,143)(121,123)(124,130)(125,151)(126,144)(128,134)(129,154)(132,138)(133,155)
        (136,142)(137,158)(140,146)(141,150)(145,147)(148,153)(149,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 71)( 50, 68)( 53, 59)( 54,103)( 55, 83)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 87)( 66,115)( 69, 74)( 70, 96)( 73, 78)( 76, 82)( 77, 97)( 80, 86)( 81, 93)
        ( 84, 99)( 85, 89)( 88, 94)( 90,119)( 92, 98)(100,106)(101,127)(102,120)(104,110)(105,131)(108,114)(109,135)
        (112,118)(113,139)(116,122)(117,143)(121,123)(124,130)(125,151)(126,144)(128,134)(129,152)(132,138)(133,155)
        (136,142)(137,158)(140,146)(141,150)(145,147)(148,154)(149,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 71)( 50, 68)( 53, 59)( 54,103)( 55, 83)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 87)( 66,115)( 69, 74)( 70, 96)( 73, 78)( 76, 82)( 77, 97)( 80, 86)( 81, 93)
        ( 84, 99)( 85, 89)( 88, 94)( 90,119)( 92, 98)(100,106)(101,127)(102,120)(104,110)(105,131)(108,114)(109,135)
        (112,118)(113,139)(116,122)(117,143)(121,123)(124,130)(125,151)(126,144)(128,134)(129,154)(132,138)(133,157)
        (136,142)(137,158)(140,146)(141,150)(145,147)(148,153)(149,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 65)( 42, 48)( 43, 99)( 46, 69)( 47,103)( 50, 56)( 51,111)( 52, 70)( 55, 73)
        ( 58, 64)( 59,118)( 60, 88)( 63, 68)( 66, 92)( 67,119)( 71,107)( 72,104)( 74, 80)( 75,130)( 76,112)( 78, 83)
        ( 79,134)( 82, 87)( 85, 91)( 86,135)( 89,114)( 90,138)( 93, 98)( 94,122)( 96,102)( 97,147)(100,106)(101,150)
        (105,126)(108,113)(109,133)(110,127)(115,121)(116,124)(117,142)(120,125)(123,146)(128,154)(129,151)(131,137)
        (132,155)(136,141)(139,145)(140,156)(143,149)(144,160)(148,153)(152,158)(157,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 65)( 42, 48)( 43,100)( 46, 69)( 47,104)( 50, 56)( 51,112)( 52, 70)( 55, 73)
        ( 58, 64)( 59,119)( 60, 88)( 63, 68)( 66, 92)( 67,120)( 71,108)( 72,105)( 74, 80)( 75,127)( 76,113)( 78, 83)
        ( 79,131)( 82, 87)( 85, 91)( 86,132)( 89,115)( 90,135)( 93, 99)( 94,143)( 95,121)( 97,103)( 98,146)(101,107)
        (102,150)(106,123)(109,114)(110,130)(111,124)(116,122)(117,145)(118,139)(125,154)(126,151)(128,134)(129,155)
        (133,138)(136,142)(137,156)(140,148)(141,160)(144,149)(147,153)(152,158)(157,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 99)( 46, 52)( 47,103)( 50, 56)( 51,107)( 54, 59)( 55,111)
        ( 58, 72)( 61, 67)( 62,119)( 63, 87)( 66, 71)( 69, 91)( 70,120)( 73, 79)( 74,126)( 75,112)( 77, 83)( 78,130)
        ( 81, 86)( 82,134)( 85, 90)( 88,115)( 89,135)( 92, 98)( 93,142)( 94,117)( 96,102)( 97,143)(100,106)(101,146)
        (104,110)(105,150)(108,114)(109,125)(113,122)(116,121)(118,138)(123,129)(124,151)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 38, 43)( 39, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,115)( 59, 92)( 61, 67)( 62,119)( 65, 71)( 66,122)( 69, 75)( 70,126)( 74, 96)( 77, 83)( 78,130)( 79,109)
        ( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,111)( 94,145)( 97,103)( 98,150)( 99,127)(101,107)
        (102,153)(105,110)(106,133)(112,118)(113,128)(114,149)(116,121)(117,124)(120,125)(123,129)(131,137)(132,154)
        (135,141)(136,157)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 44)( 39,103)( 40, 71)( 42, 48)( 43,107)( 46, 75)( 47,111)( 50, 54)( 51, 76)( 53, 58)( 56, 79)
        ( 57, 77)( 60, 66)( 61,122)( 62, 95)( 64, 70)( 65,123)( 68, 74)( 69,126)( 72, 99)( 73,127)( 78,115)( 80, 86)
        ( 81,130)( 82,116)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92, 98)( 93,141)( 96,118)( 97,145)(100,106)(101,120)
        (102,128)(104,110)(105,150)(108,114)(109,153)(112,117)(113,133)(119,125)(121,149)(124,129)(131,137)(132,154)
        (135,140)(136,157)(139,144)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 44)( 39,103)( 40, 71)( 42, 48)( 43,107)( 46, 75)( 47,111)( 50, 54)( 51, 76)( 53, 58)( 56, 79)
        ( 57, 77)( 60, 66)( 61,122)( 62, 95)( 64, 70)( 65,123)( 68, 74)( 69,126)( 72, 99)( 73,127)( 78,115)( 80, 86)
        ( 81,130)( 82,116)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92, 98)( 93,142)( 96,118)( 97,145)(100,106)(101,120)
        (102,128)(104,110)(105,150)(108,114)(109,153)(112,117)(113,133)(119,125)(121,149)(124,129)(131,137)(132,154)
        (135,141)(136,157)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 44)( 39,102)( 40, 71)( 42, 48)( 43,106)( 46, 75)( 47,110)( 50, 55)( 51, 76)( 53, 58)( 54,115)
        ( 57, 78)( 60, 66)( 61,122)( 62, 94)( 64, 70)( 65,126)( 68, 74)( 69,127)( 72, 98)( 73,128)( 77,114)( 79, 85)
        ( 80,130)( 81,116)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91, 97)( 92,141)( 95,118)( 96,145)( 99,105)(100,120)
        (101,124)(103,109)(104,150)(107,113)(108,153)(111,117)(112,133)(119,125)(121,149)(123,129)(131,137)(132,154)
        (135,140)(136,157)(139,144)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 44)( 39,102)( 40, 71)( 42, 48)( 43,106)( 46, 75)( 47,110)( 50, 55)( 51, 76)( 53, 58)( 54,115)
        ( 57, 78)( 60, 66)( 61,122)( 62, 94)( 64, 70)( 65,126)( 68, 74)( 69,127)( 72, 98)( 73,128)( 77,114)( 79, 85)
        ( 80,130)( 81,116)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91, 97)( 92,142)( 95,118)( 96,145)( 99,105)(100,120)
        (101,124)(103,109)(104,150)(107,113)(108,153)(111,117)(112,133)(119,125)(121,149)(123,129)(131,137)(132,154)
        (135,141)(136,157)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42, 97)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,118)( 59, 88)( 61, 67)( 62,119)( 65, 71)( 66,120)( 69, 92)( 70,116)( 73, 79)( 74,130)( 75,111)( 77, 83)
        ( 78,134)( 81, 87)( 82,138)( 85, 91)( 86,141)( 89,114)( 90,145)( 93, 99)( 94,153)( 95,122)( 98,103)(101,107)
        (102,154)(105,110)(106,129)(109,113)(112,126)(115,121)(117,125)(123,149)(124,146)(127,133)(128,155)(131,137)
        (132,151)(135,140)(136,158)(139,144)(142,148)(143,159)(147,160)(150,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42, 97)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,118)( 59, 88)( 61, 67)( 62,119)( 65, 71)( 66,120)( 69, 92)( 70,116)( 73, 79)( 74,130)( 75,111)( 77, 83)
        ( 78,134)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89,114)( 90,145)( 93, 99)( 94,153)( 95,122)( 98,103)(101,107)
        (102,154)(105,110)(106,129)(109,113)(112,126)(115,121)(117,125)(123,149)(124,146)(127,133)(128,155)(131,137)
        (132,151)(135,141)(136,158)(139,144)(140,159)(143,148)(147,160)(150,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 73)( 30, 49)( 31, 77)( 34, 40)( 35, 89)
        ( 36, 61)( 38, 44)( 39, 93)( 42, 48)( 43, 97)( 46, 65)( 47,101)( 50, 56)( 51,112)( 52, 81)( 54, 60)( 55,116)
        ( 58, 64)( 59,119)( 62, 85)( 63,123)( 66, 72)( 67,134)( 68,105)( 70, 76)( 71,135)( 74, 80)( 75,138)( 78, 84)
        ( 79,142)( 82,108)( 83,146)( 86, 92)( 87,110)( 88,126)( 90, 96)( 91,150)( 94,100)( 95,153)( 98,104)( 99,157)
        (102,107)(103,133)(106,130)(109,115)(111,149)(113,118)(114,127)(117,122)(120,125)(121,128)(124,129)(131,137)
        (132,158)(136,141)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 44)( 39,103)( 40, 71)( 42, 47)( 43,107)( 46, 75)( 49, 55)( 50,115)( 51, 76)( 53, 58)( 54,119)
        ( 57, 79)( 60, 66)( 61,126)( 62, 95)( 64, 70)( 65,130)( 68, 74)( 69,131)( 72, 99)( 73,134)( 77,111)( 78,108)
        ( 80, 86)( 81,142)( 82,120)( 84, 90)( 85,145)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,122)( 97,154)(100,106)
        (101,124)(102,135)(104,110)(105,158)(109,138)(112,118)(113,147)(114,139)(116,121)(117,144)(123,129)(125,157)
        (127,133)(128,136)(132,137)(140,151)(141,159)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 50, 72)( 51, 69)( 53, 59)( 54,118)( 55, 88)
        ( 57, 63)( 58,122)( 61, 67)( 62,123)( 65, 92)( 66,126)( 70,111)( 71,108)( 73, 79)( 74,134)( 75,112)( 77, 83)
        ( 78,137)( 81, 87)( 82,141)( 85, 91)( 86,145)( 89,114)( 90,146)( 93, 99)( 94,116)( 95,127)( 97,103)( 98,150)
        (101,107)(102,153)(105,110)(106,157)(109,130)(113,131)(115,121)(117,149)(119,125)(120,128)(124,129)(132,136)
        (133,158)(135,140)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 75)( 47,111)( 50, 55)( 51,119)( 52, 76)( 54, 59)
        ( 57, 79)( 58,120)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,128)( 69, 74)( 70,131)( 73, 99)( 77,115)( 78,112)
        ( 80, 86)( 81,138)( 82,121)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92, 98)( 93,146)( 96,123)( 97,150)(100,106)
        (101,125)(102,132)(104,110)(105,154)(108,114)(109,157)(113,134)(116,122)(117,141)(118,135)(124,130)(126,153)
        (129,133)(136,144)(137,158)(140,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 75)( 47,111)( 50, 56)( 51,119)( 52, 76)( 54, 59)
        ( 55,120)( 58, 79)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,130)( 69, 74)( 70,131)( 73, 99)( 77,115)( 78,112)
        ( 80, 86)( 81,138)( 82,121)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92, 98)( 93,146)( 96,123)( 97,150)(100,106)
        (101,125)(102,132)(104,110)(105,154)(108,114)(109,157)(113,134)(116,122)(117,141)(118,135)(124,129)(126,153)
        (128,133)(136,144)(137,158)(140,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 71)( 47,107)( 51, 56)( 52, 72)( 54, 75)( 55,116)
        ( 58, 63)( 59,126)( 60, 91)( 62, 67)( 65, 70)( 66,127)( 69, 95)( 73,115)( 74,111)( 76, 82)( 77,134)( 78,118)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 88, 94)( 89,142)( 92,122)( 93,146)( 96,102)( 97,124)( 98,128)(100,106)
        (101,150)(104,110)(105,153)(108,114)(109,157)(112,120)(113,133)(117,121)(119,130)(123,129)(125,149)(131,137)
        (132,158)(136,141)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 72)( 47,107)( 51, 56)( 52, 73)( 54, 76)( 55,116)
        ( 58, 63)( 59,126)( 60, 92)( 62, 67)( 65, 71)( 66,127)( 69, 96)( 70,128)( 74,115)( 75,111)( 77, 83)( 78,134)
        ( 79,119)( 81, 87)( 82,135)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,122)( 94,146)( 97,102)( 98,124)(100,106)
        (101,150)(104,110)(105,153)(108,114)(109,157)(112,118)(113,133)(117,121)(120,130)(123,129)(125,149)(131,137)
        (132,158)(136,141)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 41)( 16, 32)( 18, 36)( 22, 43)( 23, 39)( 25, 31)( 26, 63)( 27, 51)( 29, 35)( 30, 67)( 33, 55)( 34, 71)
        ( 38, 42)( 40, 56)( 44, 50)( 45, 78)( 46, 57)( 48, 54)( 49, 82)( 52, 59)( 53, 86)( 58, 75)( 60, 66)( 61, 98)
        ( 62, 90)( 64, 70)( 65,102)( 68, 74)( 69,106)( 72, 77)( 73,110)( 76, 81)( 79, 85)( 80,111)( 83, 89)( 84,114)
        ( 87, 93)( 88,118)( 91, 94)( 92,122)( 95,101)( 96,133)( 97,126)( 99,105)(100,137)(103,109)(104,141)(107,113)
        (108,145)(112,117)(115,121)(116,146)(119,125)(120,149)(123,129)(124,153)(127,130)(128,157)(131,136)(132,158)
        (134,140)(135,159)(138,144)(139,155)(142,148)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 41)( 16, 32)( 18, 36)( 22, 43)( 23, 39)( 25, 31)( 26, 63)( 27, 51)( 29, 35)( 30, 67)( 33, 55)( 34, 71)
        ( 38, 42)( 40, 56)( 44, 50)( 45, 79)( 46, 57)( 48, 54)( 49, 83)( 52, 59)( 53, 87)( 58, 75)( 60, 66)( 61, 99)
        ( 62, 91)( 64, 70)( 65,103)( 68, 74)( 69,107)( 72, 78)( 73,108)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 94)( 89,122)( 92, 95)( 93,126)( 96,102)( 97,137)( 98,130)(100,106)(101,141)(104,110)(105,145)
        (109,114)(112,118)(113,146)(116,121)(117,149)(120,125)(123,129)(124,150)(127,133)(128,153)(131,134)(132,157)
        (135,140)(136,158)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39,100)( 40, 72)( 42, 47)( 45, 76)( 46,101)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,118)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 99)( 74,139)( 78,107)
        ( 79,103)( 81, 86)( 82,122)( 84, 90)( 85,147)( 88, 94)( 89,149)( 92, 98)( 93,150)( 96,126)( 97,153)(102,106)
        (104,142)(105,140)(108,114)(109,128)(110,143)(112,117)(113,158)(116,121)(119,125)(120,159)(123,146)(124,155)
        (127,133)(129,157)(131,137)(132,144)(135,141)(136,145)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,102)( 49, 54)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,114)( 60, 66)( 61,122)( 62, 94)( 64, 70)( 65,123)( 68, 74)( 69,120)( 72, 98)( 73,125)( 77,110)( 78,106)
        ( 80, 85)( 81,115)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91, 97)( 92,145)( 95,118)( 96,149)(100,105)(101,129)
        (103,109)(104,154)(107,133)(108,157)(112,117)(113,134)(116,137)(119,124)(121,128)(126,132)(127,150)(130,153)
        (131,151)(135,140)(136,158)(139,144)(142,148)(143,159)(146,152)(147,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 34)(  8, 17)( 10, 21)( 11, 37)( 14, 20)( 15, 49)
        ( 16, 29)( 18, 33)( 19, 53)( 22, 28)( 23, 65)( 24, 41)( 26, 32)( 27, 69)( 30, 45)( 31, 73)( 35, 40)( 36, 57)
        ( 38, 44)( 39, 82)( 42, 61)( 43, 85)( 46, 52)( 47, 97)( 48, 77)( 50, 56)( 51,101)( 54, 60)( 55,104)( 58, 81)
        ( 59,108)( 62, 68)( 63,120)( 64, 89)( 66, 72)( 67,124)( 70, 76)( 71,128)( 74, 80)( 75,131)( 78, 93)( 79,135)
        ( 83, 88)( 84,112)( 86, 92)( 87,144)( 90,116)( 91,147)( 94,100)( 95,110)( 96,139)( 98,103)( 99,106)(102,107)
        (105,111)(109,115)(113,143)(114,140)(117,123)(118,151)(119,148)(121,127)(122,154)(125,130)(126,158)(129,134)
        (132,138)(133,159)(136,142)(137,156)(141,153)(145,149)(146,150)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39, 78)( 40, 71)( 42, 46)( 45, 75)( 48, 54)( 49,103)( 50, 76)( 52, 58)( 53,107)( 56, 79)
        ( 57,111)( 60, 66)( 61,119)( 62, 95)( 64, 70)( 65,120)( 68, 74)( 69,121)( 72, 99)( 73,117)( 77,100)( 80, 86)
        ( 81,131)( 82,112)( 84, 90)( 85,135)( 88, 94)( 89,139)( 92, 98)( 93,142)( 96,115)( 97,146)(101,106)(102,123)
        (104,110)(105,151)(108,114)(109,130)(113,127)(116,122)(118,126)(124,150)(125,147)(128,134)(129,152)(132,138)
        (133,155)(136,141)(137,158)(140,145)(143,149)(144,159)(148,157)(153,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 47)( 43,104)( 46, 72)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62, 70)( 63, 92)( 66, 71)( 69, 96)( 74,107)( 75,105)( 77, 83)( 78,127)( 79,120)
        ( 81, 87)( 82,131)( 85, 91)( 86,135)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,103)( 98,146)(101,106)(102,110)
        (108,114)(109,147)(112,118)(113,150)(116,122)(117,126)(121,123)(124,130)(125,151)(128,134)(129,154)(132,137)
        (133,158)(136,141)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 55)( 22, 44)( 23, 40)( 25, 31)( 26, 71)( 27, 45)( 29, 35)( 30, 75)( 33, 48)( 34, 79)
        ( 38, 43)( 39, 59)( 41, 63)( 42, 88)( 46, 67)( 47, 64)( 49, 54)( 50,103)( 51, 83)( 53, 58)( 56, 62)( 57,104)
        ( 60, 87)( 61,107)( 65, 95)( 66, 91)( 68, 74)( 69,123)( 70, 96)( 72, 78)( 73,127)( 76, 82)( 77,131)( 80, 86)
        ( 81,134)( 84, 99)( 85,138)( 89, 94)( 90,111)( 92,115)( 93,147)( 97,119)( 98,116)(100,106)(101,109)(102,142)
        (105,110)(108,114)(112,146)(113,143)(117,122)(118,148)(120,126)(121,151)(124,130)(125,154)(128,133)(129,158)
        (132,137)(135,141)(136,159)(139,145)(140,156)(144,153)(149,150)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 63)( 42, 48)( 43, 96)( 46, 68)( 47, 99)( 50, 56)( 51,110)( 52, 69)( 54, 60)
        ( 55,111)( 58, 72)( 59,114)( 62, 67)( 64, 88)( 70,106)( 71,103)( 73, 79)( 74,126)( 75,115)( 77, 83)( 78,130)
        ( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 98)( 94,146)( 97,102)(100,105)(101,147)(104,118)
        (107,113)(108,125)(109,119)(112,117)(116,122)(120,150)(121,148)(123,129)(124,151)(127,133)(128,154)(131,137)
        (132,158)(135,141)(136,159)(139,145)(140,156)(143,149)(144,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 38, 44)( 39, 91)( 40, 62)( 42, 48)( 43, 95)( 46, 67)( 47, 98)( 50, 55)( 51, 68)( 53, 59)( 54,107)
        ( 57, 71)( 58,110)( 61, 66)( 63, 87)( 69,106)( 70,102)( 72, 78)( 73,122)( 74,111)( 76, 82)( 77,126)( 80, 86)
        ( 81,130)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92, 97)( 93,142)( 96,101)( 99,105)(100,143)(103,114)(104,146)
        (108,113)(109,115)(112,118)(116,121)(117,147)(119,125)(120,151)(123,129)(124,154)(127,133)(128,158)(131,137)
        (132,159)(135,141)(136,156)(139,145)(140,153)(144,149)(148,150)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 44)( 24, 42)( 26, 32)( 27, 75)( 28, 52)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 38, 43)( 39, 47)( 40, 67)( 45, 51)( 46, 92)( 49, 55)( 50, 95)( 53, 71)( 54, 99)( 57, 62)( 58, 65)
        ( 59, 87)( 61, 66)( 64, 70)( 68, 91)( 69, 88)( 72, 78)( 73,115)( 74,103)( 76, 82)( 77,119)( 80, 86)( 81,123)
        ( 84, 90)( 85,127)( 89,110)( 93, 98)( 94,107)( 96,102)( 97,132)(100,106)(101,135)(104,111)(105,139)(108,131)
        (109,128)(112,118)(113,146)(114,140)(116,122)(117,150)(120,126)(121,154)(124,130)(125,157)(129,145)(133,138)
        (134,142)(136,141)(137,149)(143,148)(144,158)(147,153)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63, 98)( 64, 91)( 66, 71)( 67, 74)( 70, 75)( 73, 95)( 78,114)( 79,110)
        ( 82, 86)( 84, 90)( 85,127)( 88, 94)( 89,138)( 92,130)( 93,142)( 96,102)( 97,131)(100,106)(101,137)(104,109)
        (105,112)(108,113)(111,134)(115,121)(116,147)(117,135)(119,125)(120,150)(123,129)(124,154)(128,141)(132,136)
        (133,146)(139,145)(140,155)(143,149)(144,158)(148,153)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 42)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 96)( 40, 68)( 43, 71)( 46, 52)( 47,103)( 48, 72)( 50, 56)( 51,107)( 54, 75)( 55,111)
        ( 58, 63)( 59,119)( 60, 91)( 62, 67)( 65, 70)( 66,120)( 69, 95)( 73, 99)( 74, 97)( 76, 82)( 77,127)( 78,115)
        ( 80, 86)( 81,128)( 84, 90)( 85,131)( 88, 94)( 89,135)( 92,101)( 93,139)( 98,121)(100,106)(102,122)(104,110)
        (105,140)(108,114)(109,143)(112,118)(113,147)(116,123)(117,151)(124,130)(125,154)(126,152)(129,134)(132,138)
        (133,155)(136,142)(137,158)(141,146)(144,150)(145,159)(148,153)(149,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 66)( 26, 51)( 28, 34)( 29, 70)( 32, 55)( 33, 74)( 36, 42)
        ( 37, 82)( 38, 60)( 40, 46)( 41, 86)( 44, 50)( 45, 90)( 48, 54)( 49, 94)( 52, 62)( 53, 98)( 56, 61)( 57, 85)
        ( 58, 78)( 63, 69)( 64,114)( 65,102)( 67, 73)( 68,115)( 71, 77)( 72,118)( 75, 81)( 76,122)( 79,106)( 80,126)
        ( 83, 89)( 84,107)( 87, 93)( 88,108)( 91, 97)( 92,131)( 95,101)( 96,134)( 99,105)(100,138)(103,110)(104,142)
        (109,130)(111,117)(112,150)(113,143)(116,121)(119,125)(120,151)(123,129)(124,154)(127,133)(128,157)(132,137)
        (135,141)(136,158)(139,145)(140,149)(144,146)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 47)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39, 77)( 40, 70)( 42, 46)( 45, 74)( 48, 54)( 49,102)( 50, 75)( 52, 58)( 53,106)( 56, 78)
        ( 57,110)( 60, 65)( 61,118)( 62, 94)( 64, 69)( 67, 73)( 68,119)( 71, 98)( 72,116)( 76, 99)( 79, 85)( 80,129)
        ( 81,111)( 83, 89)( 84,133)( 87, 93)( 88,137)( 91, 97)( 92,141)( 95,114)( 96,145)(100,105)(101,121)(103,109)
        (104,150)(107,113)(108,128)(112,125)(115,120)(117,124)(122,149)(123,146)(126,132)(127,151)(130,136)(131,154)
        (134,140)(135,157)(138,144)(139,158)(142,148)(143,159)(147,156)(152,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 41)( 24, 39)( 26, 32)( 27, 73)( 28, 49)( 30, 36)( 31, 77)( 34, 53)
        ( 35, 81)( 40, 65)( 42, 48)( 43, 93)( 44, 66)( 46, 52)( 47, 97)( 50, 69)( 51,101)( 54, 60)( 55,112)( 56, 85)
        ( 58, 64)( 59,113)( 62, 68)( 63,110)( 67, 89)( 70, 76)( 71,119)( 72,105)( 74, 80)( 75,123)( 78, 84)( 79,127)
        ( 82, 88)( 83,131)( 86,108)( 87,135)( 90, 96)( 91,136)( 92,111)( 94,100)( 95,139)( 98,104)( 99,143)(102,107)
        (103,118)(106,115)(109,114)(116,122)(117,144)(120,126)(121,147)(124,130)(125,151)(128,134)(129,154)(132,138)
        (133,157)(137,142)(140,146)(141,158)(145,150)(148,153)(149,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 98)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,117)( 52, 76)( 54, 60)
        ( 55,121)( 58, 79)( 59,125)( 62, 67)( 63, 73)( 64, 90)( 66, 70)( 69, 74)( 72, 94)( 77,113)( 78,109)( 81, 85)
        ( 83, 89)( 84,126)( 87, 93)( 88,133)( 91, 97)( 92,137)( 95,101)( 96,141)( 99,105)(100,132)(103,108)(104,111)
        (107,112)(110,129)(114,120)(115,145)(116,130)(118,124)(119,149)(122,128)(123,153)(127,136)(131,142)(134,140)
        (135,154)(138,144)(139,157)(143,148)(146,152)(147,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 41)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 44)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 42, 47)( 43, 65)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 63)
        ( 58,103)( 61, 72)( 62,107)( 67, 88)( 70, 91)( 71, 89)( 73, 79)( 74,116)( 75,111)( 77, 83)( 78,119)( 81, 87)
        ( 82,123)( 85, 90)( 86, 94)( 92, 98)( 93,124)( 96,102)( 97,127)(100,106)(101,131)(104,110)(105,135)(108,114)
        (109,139)(112,115)(113,143)(117,122)(118,146)(120,126)(121,151)(125,130)(128,134)(129,152)(132,138)(133,154)
        (136,142)(137,155)(140,145)(141,158)(144,149)(147,150)(148,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 79)( 46, 51)( 47, 73)( 49, 55)( 50, 74)( 53, 76)( 54, 75)( 57, 63)
        ( 58,100)( 59, 81)( 61, 67)( 62,104)( 65, 71)( 66,108)( 69, 84)( 70,112)( 77, 83)( 78, 93)( 82, 96)( 85, 91)
        ( 86,124)( 87,116)( 89, 95)( 90,127)( 94, 99)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,115)
        (110,139)(113,119)(114,143)(117,120)(118,147)(121,126)(122,133)(123,151)(125,130)(129,134)(132,138)(136,142)
        (137,152)(140,146)(141,155)(144,150)(145,158)(148,154)(149,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 32)( 18, 36)( 19, 59)( 23, 48)( 24, 44)( 26, 31)( 27, 67)( 28, 46)( 30, 35)( 33, 51)( 34, 68)
        ( 37, 43)( 38, 73)( 39, 63)( 41, 47)( 42, 70)( 45, 50)( 52, 58)( 53, 79)( 54, 71)( 56, 62)( 57, 83)( 60, 66)
        ( 61, 87)( 64, 75)( 65, 91)( 69, 74)( 72, 76)( 77, 82)( 78, 95)( 80, 86)( 81,100)( 84, 90)( 85,103)( 88, 94)
        ( 89,107)( 92, 98)( 93,111)( 96, 99)( 97,115)(101,106)(102,119)(104,110)(105,124)(108,114)(109,127)(112,118)
        (113,131)(116,122)(117,135)(120,123)(121,139)(125,130)(126,143)(128,134)(129,148)(132,138)(133,149)(136,142)
        (137,151)(140,146)(141,155)(144,147)(145,158)(150,154)(152,157)(153,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,115)( 59, 83)( 61, 67)( 62,118)( 66, 87)( 69, 74)( 70,126)( 71,108)( 73, 78)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84,111)( 85,134)( 88, 94)( 89,145)( 90,119)( 92, 98)( 93,149)( 96,102)( 97,153)(100,106)(101,157)
        (104,110)(105,125)(109,122)(112,117)(113,144)(114,138)(116,121)(120,142)(123,129)(124,158)(128,133)(131,137)
        (132,159)(135,141)(136,155)(139,147)(140,151)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 79)( 33, 52)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 50, 72)( 51, 69)( 53, 59)( 54,115)( 55, 87)
        ( 57, 63)( 58,118)( 61, 67)( 62,121)( 65, 91)( 66,125)( 70,107)( 71,103)( 73, 78)( 74,137)( 75,108)( 77, 82)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 88,111)( 89,145)( 93, 98)( 94,129)( 96,102)( 97,154)(100,106)(101,157)
        (104,110)(105,136)(109,133)(112,117)(113,123)(114,149)(116,120)(119,124)(122,128)(126,132)(127,150)(130,153)
        (131,151)(134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 56)( 22, 28)( 23, 68)( 24, 45)( 26, 32)( 27, 71)( 30, 49)( 31, 75)( 34, 40)( 35, 87)
        ( 36, 60)( 38, 44)( 39, 91)( 42, 48)( 43, 95)( 46, 64)( 47, 99)( 50, 55)( 51, 58)( 52, 79)( 54, 59)( 57, 63)
        ( 61, 83)( 62, 80)( 65, 70)( 66,115)( 67,103)( 69, 74)( 72, 78)( 73,116)( 76, 82)( 77,119)( 81,110)( 84, 90)
        ( 85,127)( 86,107)( 88, 94)( 89,128)( 92, 98)( 93,131)( 96,102)( 97,135)(100,106)(101,138)(104,111)(105,142)
        (108,123)(109,120)(112,118)(113,151)(114,146)(117,122)(121,152)(124,130)(125,157)(126,149)(129,134)(132,137)
        (133,158)(136,141)(139,145)(140,159)(143,148)(144,156)(147,153)(150,154)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 52)( 47, 79)( 50, 55)( 51, 58)( 54, 59)( 57, 76)
        ( 61, 67)( 62,112)( 63, 92)( 65, 71)( 66,116)( 69, 75)( 70,120)( 73, 96)( 74,124)( 77, 83)( 78,105)( 81, 87)
        ( 82,106)( 85, 91)( 86,102)( 89, 95)( 90, 98)( 93,108)( 94,129)( 97,103)( 99,128)(101,107)(109,115)(110,140)
        (111,132)(113,119)(114,143)(117,123)(118,147)(121,127)(122,151)(125,131)(126,155)(130,135)(133,136)(134,156)
        (137,142)(138,158)(139,153)(141,146)(144,150)(145,159)(148,154)(149,160)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 38, 43)( 39, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,115)( 59, 92)( 61, 67)( 62,118)( 65, 71)( 66,119)( 69, 75)( 70,122)( 74, 96)( 77, 83)( 78,126)( 79,109)
        ( 81, 87)( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93,111)( 94,142)( 97,103)( 98,147)( 99,123)(101,107)
        (102,150)(105,110)(106,129)(112,117)(113,124)(114,146)(116,121)(120,125)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 71)( 42, 48)( 43,107)( 46, 75)( 47,111)( 50, 55)( 51, 58)( 52, 76)( 54, 59)
        ( 57, 79)( 61, 66)( 62,119)( 63, 95)( 65, 70)( 68, 74)( 69,120)( 72, 99)( 73,123)( 77, 82)( 78,112)( 80, 86)
        ( 81,127)( 84, 90)( 85,130)( 88, 94)( 89,134)( 92, 98)( 93,138)( 96,115)( 97,142)(100,106)(101,117)(102,124)
        (104,110)(105,147)(108,114)(109,150)(113,126)(116,122)(118,146)(121,125)(128,133)(129,151)(131,137)(132,155)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,157)(148,153)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,108)( 51, 56)( 52, 73)( 54, 76)( 55, 74)
        ( 58, 64)( 59,119)( 60, 92)( 62, 68)( 63,120)( 66, 71)( 67,123)( 70, 96)( 75,112)( 77, 83)( 78,126)( 79,113)
        ( 81, 87)( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93,115)( 94,142)( 97,103)( 98,117)( 99,124)(101,107)
        (102,147)(105,111)(106,150)(109,114)(110,129)(116,122)(118,146)(121,125)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 52)( 47,107)( 50, 55)( 51,111)( 54, 59)( 57, 75)
        ( 58,112)( 61, 67)( 62,119)( 63, 91)( 65, 70)( 66,122)( 69, 74)( 72, 95)( 73,123)( 76, 82)( 77,126)( 78,113)
        ( 80, 86)( 81,130)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92,115)( 93,142)( 96,102)( 97,117)( 98,124)(100,106)
        (101,147)(104,110)(105,150)(108,114)(109,129)(116,121)(118,146)(120,125)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 51, 56)( 52, 73)( 54, 75)( 55,112)
        ( 58, 64)( 59,119)( 60, 91)( 62, 68)( 63,122)( 66, 71)( 67,123)( 70, 95)( 74,111)( 76, 82)( 77,126)( 78,113)
        ( 80, 86)( 81,130)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92,115)( 93,142)( 96,102)( 97,117)( 98,124)(100,106)
        (101,147)(104,110)(105,150)(108,114)(109,129)(116,121)(118,146)(120,125)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 52)( 47,107)( 50, 56)( 51,111)( 54, 59)( 55,112)
        ( 58, 75)( 61, 67)( 62,119)( 63, 91)( 65, 70)( 66,123)( 69, 74)( 72, 95)( 73,124)( 76, 82)( 77,126)( 78,113)
        ( 80, 86)( 81,130)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92,115)( 93,142)( 96,102)( 97,117)( 98,121)(100,106)
        (101,147)(104,110)(105,150)(108,114)(109,129)(116,122)(118,146)(120,125)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,112)( 52, 74)( 55, 76)
        ( 58, 64)( 59,119)( 60, 92)( 62, 68)( 63,123)( 66, 72)( 67,124)( 70, 96)( 71,121)( 75,111)( 77, 83)( 78,126)
        ( 79,113)( 81, 87)( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93,115)( 94,142)( 97,102)( 98,117)(100,106)
        (101,147)(104,110)(105,150)(108,114)(109,129)(116,122)(118,146)(120,125)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 39, 43)( 40, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,105)( 57, 63)
        ( 58,112)( 59, 92)( 61, 67)( 62,115)( 65, 71)( 66,118)( 69, 75)( 70,122)( 74, 96)( 77, 83)( 78,126)( 79,106)
        ( 81, 87)( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93,108)( 94,142)( 97,103)( 98,150)( 99,123)(101,107)
        (102,129)(109,114)(110,120)(111,146)(113,117)(116,121)(119,125)(124,147)(127,133)(128,151)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 67)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 71)( 54,107)( 57, 62)
        ( 58,115)( 59, 87)( 61, 66)( 64, 70)( 65,116)( 68, 91)( 69,113)( 72, 78)( 73,126)( 74,108)( 76, 82)( 77,130)
        ( 80, 86)( 81,134)( 84, 90)( 85,138)( 88,111)( 89,142)( 92, 98)( 93,150)( 94,118)( 97,102)(100,106)(101,151)
        (104,110)(105,125)(109,122)(112,117)(114,121)(119,146)(120,143)(123,129)(124,152)(127,133)(128,148)(131,137)
        (132,155)(135,141)(136,158)(139,145)(140,159)(144,157)(147,153)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 61)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 49, 55)( 50,108)( 51, 65)( 54, 68)( 57, 63)
        ( 58, 91)( 59, 84)( 62, 88)( 66,104)( 67,101)( 69, 75)( 70,119)( 71,109)( 73, 79)( 74,123)( 77, 83)( 78,127)
        ( 81, 87)( 82,131)( 85,111)( 86,135)( 89, 95)( 90,112)( 93, 99)( 94,143)( 97,103)( 98,146)(102,115)(105,110)
        (106,122)(107,116)(113,145)(114,139)(117,150)(118,147)(120,126)(121,151)(124,130)(125,154)(128,134)(129,158)
        (132,138)(133,159)(136,142)(137,156)(140,148)(141,153)(144,149)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 48)( 23, 44)( 25, 31)( 26, 74)( 27, 49)( 29, 35)( 30, 78)( 33, 52)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 62)( 41, 47)( 42, 98)( 45, 66)( 46,102)( 50, 70)( 51, 67)( 53, 58)( 54, 64)( 55, 86)
        ( 57, 61)( 60, 65)( 63, 90)( 68,110)( 69,106)( 71, 77)( 72,118)( 73,111)( 75, 81)( 76,122)( 79, 85)( 80,126)
        ( 83, 89)( 84,130)( 87, 93)( 88,134)( 91, 97)( 92,138)( 95,101)( 96,142)( 99,105)(100,143)(103,109)(104,146)
        (107,113)(108,117)(112,114)(115,121)(116,147)(119,125)(120,150)(123,129)(124,154)(127,133)(128,158)(131,137)
        (132,159)(135,141)(136,156)(139,145)(140,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 20)( 11, 40)( 14, 19)( 15, 35)
        ( 16, 28)( 18, 32)( 21, 27)( 22, 56)( 23, 44)( 25, 31)( 26, 60)( 29, 48)( 30, 64)( 33, 39)( 34, 49)( 37, 43)
        ( 38, 72)( 41, 47)( 42, 76)( 45, 52)( 46, 80)( 50, 75)( 51, 68)( 53, 59)( 54, 96)( 55, 84)( 57, 63)( 58,100)
        ( 61, 67)( 62,104)( 65, 71)( 66,108)( 69, 88)( 70,112)( 73, 79)( 74, 89)( 77, 83)( 78,120)( 81, 87)( 82,124)
        ( 85, 92)( 86,128)( 90,123)( 91,116)( 93, 99)( 94,143)( 95,132)( 97,103)( 98,147)(101,107)(102,151)(105,111)
        (106,155)(109,115)(110,156)(113,119)(114,153)(117,135)(118,149)(121,127)(122,136)(125,131)(126,158)(129,134)
        (130,142)(133,139)(137,160)(138,145)(140,146)(141,159)(144,150)(148,154)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 98)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,103)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,122)( 63, 68)( 64, 93)( 66, 72)( 67,109)( 70, 97)( 71,105)( 75,111)( 76,107)( 78, 84)
        ( 79,133)( 80,126)( 82, 88)( 83,137)( 86, 92)( 87,141)( 90, 96)( 91,145)( 94,108)( 95,114)( 99,102)(101,106)
        (104,110)(112,118)(113,146)(116,121)(117,149)(120,125)(123,129)(124,150)(127,130)(128,153)(131,136)(132,157)
        (134,140)(135,158)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)(119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 26)(  4,  9)(  6, 20)(  7, 38)(  8, 16)( 10, 23)( 11, 21)( 13, 19)( 14, 49)
        ( 15, 30)( 17, 34)( 18, 53)( 22, 42)( 24, 29)( 25, 43)( 27, 33)( 28, 40)( 31, 45)( 32, 36)( 35, 41)( 37, 57)
        ( 39, 44)( 46, 52)( 47, 65)( 48, 58)( 50, 56)( 51, 69)( 54, 60)( 55, 73)( 59, 61)( 62, 68)( 63, 81)( 64, 74)
        ( 66, 72)( 67, 85)( 70, 76)( 71, 89)( 75, 77)( 78, 84)( 79, 97)( 80, 90)( 82, 88)( 83,101)( 86, 92)( 87,105)
        ( 91, 93)( 94,100)( 95,113)( 96,106)( 98,104)( 99,117)(102,108)(103,121)(107,109)(110,116)(111,129)(112,122)
        (114,120)(115,133)(118,124)(119,137)(123,125)(126,132)(127,145)(128,138)(130,136)(131,149)(134,140)(135,153)
        (139,141)(142,148)(143,158)(144,154)(146,152)(147,159)(150,156)(151,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44)
        ( 45, 46, 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 33)( 18, 37)( 19, 60)( 23, 44)( 24, 40)( 26, 32)( 27, 67)( 28, 52)( 30, 36)( 31, 71)( 34, 46)
        ( 35, 75)( 39, 43)( 41, 58)( 42, 61)( 45, 51)( 47, 59)( 49, 55)( 50, 76)( 53, 63)( 54, 79)( 57, 62)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,138)(114,131)(116,122)(117,142)(120,126)(121,146)(125,130)(128,134)(129,147)(132,135)(133,150)(136,141)
        (137,154)(139,145)(140,155)(143,149)(144,158)(148,153)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 71)( 28, 52)( 30, 36)( 31, 75)( 34, 56)
        ( 35, 79)( 39, 43)( 41, 47)( 42, 65)( 45, 51)( 46, 62)( 49, 55)( 50, 58)( 53, 67)( 54, 84)( 57, 63)( 59, 83)
        ( 61, 66)( 68, 74)( 69, 95)( 70, 87)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 80, 86)( 81,107)( 85, 90)( 88, 91)
        ( 89,108)( 92, 98)( 93,119)( 94,111)( 96,102)( 97,123)(100,106)(101,127)(104,110)(105,131)(109,114)(112,115)
        (113,132)(116,122)(117,142)(118,135)(120,126)(121,146)(124,130)(125,149)(128,134)(129,153)(133,138)(136,139)
        (137,154)(140,145)(141,157)(143,148)(144,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,100)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62, 94)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 78)( 74,123)( 76, 82)( 77,132)
        ( 80, 86)( 81,134)( 84, 90)( 85,138)( 88,127)( 89,142)( 92, 98)( 93,128)( 96,102)( 97,105)(101,106)(104,129)
        (108,114)(109,143)(110,130)(112,118)(113,146)(116,122)(117,150)(120,126)(121,151)(124,131)(125,154)(133,137)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 23)( 11, 21)( 13, 19)( 14, 50)
        ( 15, 31)( 17, 35)( 18, 54)( 22, 43)( 24, 30)( 25, 62)( 26, 44)( 28, 34)( 29, 66)( 32, 46)( 33, 67)( 36, 42)
        ( 37, 78)( 38, 58)( 40, 45)( 41, 65)( 47, 53)( 48, 86)( 49, 70)( 51, 57)( 52, 90)( 55, 61)( 56, 94)( 59, 74)
        ( 60, 98)( 63, 69)( 64, 79)( 68, 73)( 71, 82)( 72, 80)( 75, 81)( 76, 85)( 77,102)( 83, 89)( 84,107)( 87, 93)
        ( 88,110)( 91, 97)( 92,114)( 95,101)( 96,118)( 99,105)(100,122)(103,106)(104,126)(108,113)(109,130)(111,117)
        (112,135)(115,121)(116,137)(119,125)(120,141)(123,129)(124,145)(127,133)(128,149)(131,134)(132,153)(136,140)
        (138,144)(139,154)(142,148)(143,157)(146,152)(147,158)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 41)( 16, 32)( 18, 36)( 22, 43)( 23, 39)( 25, 31)( 26, 59)( 27, 51)( 29, 35)( 30, 63)( 33, 45)( 34, 67)
        ( 38, 42)( 40, 46)( 44, 50)( 48, 54)( 49, 68)( 52, 55)( 53, 71)( 56, 62)( 57, 83)( 58, 75)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 69, 74)( 72, 78)( 73, 92)( 76, 79)( 77, 95)( 80, 86)( 81,107)( 82, 99)( 84, 90)( 85,111)
        ( 88, 94)( 89,115)( 93, 98)( 96,102)( 97,116)(100,103)(101,119)(104,110)(105,131)(106,123)(108,114)(109,135)
        (112,118)(113,139)(117,122)(120,126)(121,140)(124,127)(125,143)(128,134)(129,152)(130,147)(132,138)(133,154)
        (136,142)(137,158)(141,146)(144,150)(145,159)(148,151)(149,156)(153,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,121)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,117)( 84, 90)( 85,113)( 88, 94)( 89,109)( 92, 98)( 93,105)( 96,123)( 97,101)(100,106)
        (102,143)(104,110)(108,114)(112,118)(116,122)(124,130)(125,151)(126,144)(128,134)(129,154)(132,138)(133,155)
        (136,142)(137,158)(140,146)(141,150)(145,147)(148,153)(149,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 43)( 39, 99)( 40, 72)( 42, 47)( 45, 75)( 46,100)( 49, 55)( 50,106)( 51, 76)( 53, 59)( 54,110)
        ( 57, 78)( 58,114)( 61, 67)( 62,112)( 63, 94)( 65, 71)( 66,108)( 69, 74)( 70,104)( 73, 98)( 77,102)( 79, 85)
        ( 80,126)( 81,118)( 83, 89)( 84,130)( 87, 93)( 88,134)( 91, 97)( 92,138)( 95,116)( 96,142)(101,105)(103,109)
        (107,113)(111,117)(115,121)(119,122)(120,143)(123,129)(124,151)(125,146)(127,133)(128,153)(131,137)(132,154)
        (135,141)(136,157)(139,145)(140,158)(144,149)(147,150)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 43)( 15, 21)
        ( 17, 24)( 18, 47)( 22, 39)( 23, 36)( 25, 31)( 26, 63)( 27, 51)( 29, 35)( 30, 67)( 33, 38)( 34, 58)( 37, 55)
        ( 40, 46)( 41, 71)( 42, 56)( 44, 50)( 45, 75)( 48, 54)( 49, 79)( 52, 59)( 53, 83)( 57, 68)( 60, 66)( 61, 95)
        ( 62, 87)( 64, 70)( 65, 99)( 69, 74)( 72, 78)( 73,100)( 76, 82)( 77,103)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 88, 91)( 89,115)( 92, 98)( 93,126)( 94,119)( 96,102)( 97,130)(101,106)(104,110)(105,131)(108,114)(109,134)
        (112,118)(113,138)(116,122)(117,142)(120,123)(121,146)(124,129)(125,149)(127,133)(128,154)(132,137)(135,141)
        (136,155)(139,145)(140,157)(143,148)(144,158)(147,152)(150,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 43)( 15, 21)
        ( 17, 24)( 18, 47)( 22, 39)( 23, 36)( 25, 31)( 26, 63)( 27, 51)( 29, 35)( 30, 67)( 33, 38)( 34, 58)( 37, 55)
        ( 40, 46)( 41, 71)( 42, 56)( 44, 50)( 45, 75)( 48, 54)( 49, 79)( 52, 59)( 53, 83)( 57, 68)( 60, 66)( 61, 95)
        ( 62, 87)( 64, 70)( 65, 99)( 69, 74)( 72, 78)( 73,100)( 76, 82)( 77,103)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 88, 91)( 89,115)( 92, 98)( 93,126)( 94,119)( 96,102)( 97,130)(101,106)(104,110)(105,131)(108,114)(109,134)
        (112,118)(113,138)(116,122)(117,142)(120,123)(121,146)(124,129)(125,150)(127,133)(128,154)(132,137)(135,141)
        (136,155)(139,145)(140,157)(143,149)(144,158)(147,152)(148,159)(151,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 32)( 19, 56)( 22, 28)( 23, 68)( 24, 44)( 26, 31)( 27, 72)( 30, 48)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,103)( 51, 73)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 65, 71)( 66,127)( 67, 96)( 69, 75)( 70,131)( 74, 99)( 77, 83)( 78,139)( 79,119)
        ( 81, 87)( 82,143)( 85, 91)( 86,147)( 89, 95)( 90,148)( 93, 98)( 94,126)( 97,123)(100,106)(101,137)(102,132)
        (104,110)(105,151)(108,114)(109,154)(112,118)(113,158)(116,122)(117,159)(120,135)(121,156)(124,130)(125,149)
        (128,134)(129,145)(133,141)(136,142)(138,153)(140,146)(144,150)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 32)( 19, 56)( 22, 28)( 23, 68)( 24, 44)( 26, 31)( 27, 72)( 30, 48)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,103)( 51, 73)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 65, 71)( 66,127)( 67, 96)( 69, 75)( 70,131)( 74, 99)( 77, 83)( 78,139)( 79,119)
        ( 81, 87)( 82,143)( 85, 91)( 86,147)( 89, 95)( 90,151)( 93, 98)( 94,126)( 97,123)(100,106)(101,141)(102,132)
        (104,110)(105,137)(108,114)(109,154)(112,118)(113,158)(116,122)(117,159)(120,135)(121,156)(124,130)(125,152)
        (128,134)(129,149)(133,145)(136,142)(138,157)(140,146)(144,150)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 43, 72)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 71)( 67,130)( 70, 96)( 74,100)( 75, 98)( 77, 83)( 78,138)
        ( 79,116)( 81, 87)( 82,142)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93,119)( 94,153)( 99,131)(101,107)(102,125)
        (103,132)(105,111)(106,121)(109,115)(110,158)(113,118)(114,137)(117,134)(120,126)(122,157)(124,129)(128,133)
        (135,141)(136,159)(139,145)(140,155)(143,148)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 33)(  8, 17)( 10, 21)( 11, 37)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 22, 28)( 23, 65)( 24, 41)( 27, 45)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 80)( 42, 61)( 43, 84)( 46, 52)( 47, 96)( 48, 66)( 50, 56)( 51,100)( 54, 60)( 55,104)( 58, 69)
        ( 59,108)( 62, 68)( 63,119)( 64, 88)( 67, 92)( 70, 76)( 71,127)( 72,111)( 74, 79)( 75,131)( 78, 83)( 81, 87)
        ( 82,132)( 85, 91)( 86,135)( 89,115)( 90,139)( 93, 99)( 94,146)( 95,120)( 97,103)( 98,147)(101,107)(102,150)
        (105,110)(106,154)(109,114)(112,123)(113,155)(116,122)(117,157)(118,140)(121,142)(124,130)(125,144)(126,152)
        (128,134)(129,159)(133,138)(136,141)(137,160)(143,149)(145,158)(148,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 68)( 24, 45)( 26, 32)( 27, 72)( 30, 49)( 31, 76)( 34, 40)( 35, 85)
        ( 36, 61)( 38, 44)( 39, 88)( 42, 48)( 43, 92)( 46, 64)( 47, 96)( 50, 56)( 51,108)( 52, 80)( 54, 60)( 55,112)
        ( 58, 63)( 59,116)( 62, 84)( 65, 71)( 66,124)( 67,100)( 69, 75)( 70,128)( 73, 79)( 74,132)( 77, 83)( 78,133)
        ( 81,104)( 82,130)( 86, 91)( 87,117)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,103)( 98,143)(101,120)(102,147)
        (105,111)(106,150)(107,126)(109,115)(110,154)(113,119)(114,158)(118,135)(121,127)(122,153)(123,148)(125,131)
        (129,134)(137,142)(138,159)(140,146)(141,156)(144,149)(145,152)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 76)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,120)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 99)( 74,139)( 78,111)
        ( 79,108)( 81, 86)( 82,121)( 84, 90)( 85,117)( 88, 94)( 89,113)( 92, 98)( 93,149)( 96,123)( 97,151)(100,106)
        (101,125)(102,143)(104,110)(105,153)(109,147)(112,118)(114,148)(116,122)(124,130)(126,152)(128,134)(129,144)
        (132,138)(133,155)(136,142)(137,158)(140,146)(141,159)(145,157)(150,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 68)( 41, 47)( 42, 98)( 45, 51)( 46,102)( 49, 55)( 50,106)( 53, 72)( 54,110)( 57, 63)
        ( 58,118)( 59, 87)( 61, 67)( 62,122)( 65, 71)( 66,123)( 69, 91)( 70,126)( 73, 78)( 74,137)( 75,111)( 77, 82)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 88,114)( 89,145)( 92, 97)( 93,129)( 95,101)( 96,150)( 99,105)(100,153)
        (103,109)(104,157)(107,113)(108,136)(112,133)(115,121)(116,152)(117,146)(119,125)(120,131)(124,128)(127,132)
        (130,149)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 65)( 33, 39)( 34, 68)( 37, 56)
        ( 38, 72)( 41, 47)( 42, 84)( 43, 57)( 45, 51)( 46, 88)( 49, 55)( 50, 92)( 53, 60)( 54, 96)( 58, 80)( 59, 76)
        ( 61, 67)( 62,111)( 63, 99)( 66, 71)( 69, 75)( 70,112)( 73, 79)( 74,115)( 77,103)( 78,119)( 81, 87)( 82,130)
        ( 83,104)( 85, 91)( 86,133)( 89, 95)( 90,137)( 93, 98)( 94,141)( 97,102)(100,107)(101,142)(105,126)(106,123)
        (108,114)(109,157)(110,145)(113,118)(116,122)(117,158)(120,125)(121,152)(124,149)(127,132)(128,155)(129,150)
        (131,136)(134,140)(135,156)(138,144)(139,147)(143,148)(146,153)(151,159)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 68)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 72)( 54,111)( 57, 63)
        ( 58,121)( 59, 87)( 61, 67)( 62,125)( 65, 71)( 66,129)( 69, 91)( 70,133)( 73, 78)( 74,114)( 76, 82)( 77,142)
        ( 80, 86)( 81,145)( 84, 90)( 85,149)( 88,117)( 89,153)( 92, 98)( 93,119)( 94,137)( 96,102)( 97,155)(100,106)
        (101,151)(104,110)(105,147)(108,113)(109,144)(112,116)(115,141)(118,124)(120,154)(122,128)(123,138)(126,132)
        (127,157)(130,136)(131,158)(134,140)(135,159)(139,160)(143,148)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 31)( 18, 35)( 19, 63)( 23, 43)( 25, 30)( 26, 51)( 28, 34)( 29, 72)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 67)( 40, 46)( 41, 91)( 44, 50)( 45, 95)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,113)
        ( 58, 79)( 60, 66)( 61,117)( 64, 70)( 65,121)( 68, 83)( 69,125)( 73, 78)( 74,106)( 76, 82)( 77,134)( 80,109)
        ( 81,137)( 84, 90)( 85,149)( 86,129)( 88, 94)( 89,150)( 92, 98)( 93,143)( 96,102)( 97,139)(100,105)(101,136)
        (104,108)(107,133)(110,116)(111,147)(112,141)(114,120)(115,153)(118,124)(119,157)(122,128)(123,158)(126,132)
        (127,159)(130,145)(131,155)(135,140)(138,144)(142,151)(146,152)(148,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,119)( 52, 77)( 54, 59)
        ( 55,120)( 58, 80)( 61, 67)( 62,124)( 63, 96)( 65, 71)( 66,126)( 69, 75)( 70,130)( 73,100)( 74,134)( 78,116)
        ( 79,113)( 81, 87)( 82,143)( 83,121)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,123)( 98,157)
        (101,107)(102,155)(103,137)(105,111)(106,151)(109,115)(110,147)(114,141)(117,122)(118,142)(125,129)(127,133)
        (128,158)(131,136)(132,139)(135,140)(138,159)(144,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 54)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 55, 76)
        ( 58, 64)( 59,120)( 60, 88)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 92)( 71,131)( 75,108)( 78, 83)( 79,113)
        ( 81, 87)( 82,139)( 85, 91)( 86,142)( 89,116)( 90,146)( 93, 99)( 94,158)( 95,134)( 97,103)( 98,152)(101,107)
        (102,148)(105,111)(106,144)(109,115)(110,141)(114,138)(117,123)(118,156)(119,150)(121,127)(122,157)(125,130)
        (126,136)(129,133)(132,137)(135,154)(140,145)(143,149)(147,153)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 98)( 40, 72)( 42, 48)( 43,102)( 46, 52)( 47,106)( 50, 56)( 51,110)( 54, 59)( 55,114)
        ( 58, 75)( 61, 67)( 62,122)( 63, 91)( 65, 71)( 66,126)( 69, 74)( 70,127)( 73, 94)( 76, 82)( 77,134)( 78,115)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 88, 93)( 89,142)( 92,118)( 95,101)( 96,146)( 97,128)( 99,105)(100,149)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,133)(116,130)(119,125)(120,151)(121,143)(123,129)(124,148)
        (131,137)(132,158)(136,141)(139,145)(140,159)(144,155)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 53)( 30, 35)( 31, 84)( 34, 56)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,108)( 51, 73)( 54, 76)( 57, 63)
        ( 58,115)( 59, 85)( 61, 67)( 62,119)( 65, 71)( 66,122)( 69, 88)( 70,126)( 74,107)( 75,104)( 77, 83)( 78,134)
        ( 79,109)( 81, 87)( 82,138)( 86,111)( 89, 95)( 90,146)( 91,127)( 93, 99)( 94,150)( 97,103)( 98,154)(101,106)
        (102,158)(105,130)(110,131)(112,118)(113,148)(114,139)(116,121)(117,144)(120,125)(123,129)(124,145)(128,142)
        (132,137)(133,159)(135,141)(136,156)(140,152)(143,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 53)( 30, 35)( 31, 83)( 34, 56)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 54, 75)( 57, 63)
        ( 58,115)( 59, 84)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 87)( 70,126)( 74,103)( 76, 82)( 77,134)( 78,108)
        ( 80, 86)( 81,138)( 85,111)( 88, 94)( 89,146)( 90,127)( 92, 98)( 93,150)( 96,102)( 97,154)(100,106)(101,158)
        (104,110)(105,133)(109,130)(112,118)(113,148)(114,139)(116,122)(117,144)(120,125)(121,145)(124,129)(128,142)
        (131,137)(132,159)(135,141)(136,156)(140,152)(143,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,108)( 57, 63)
        ( 58,115)( 59, 84)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 88)( 70,127)( 74,107)( 75,104)( 78, 83)( 79,109)
        ( 81, 87)( 82,136)( 85,111)( 86,138)( 89, 95)( 90,150)( 91,130)( 93, 99)( 94,151)( 97,103)( 98,144)(101,106)
        (102,140)(105,134)(110,135)(112,118)(113,148)(114,142)(116,122)(117,154)(120,126)(121,157)(124,129)(125,158)
        (128,133)(131,146)(132,159)(137,141)(139,145)(143,152)(147,153)(149,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 53)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,108)( 51, 73)( 54, 76)( 57, 63)
        ( 58,115)( 59, 84)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 88)( 70,127)( 74,107)( 75,104)( 78, 83)( 79,109)
        ( 81, 87)( 82,136)( 85,111)( 86,138)( 89, 95)( 90,150)( 91,131)( 93, 99)( 94,151)( 97,103)( 98,144)(101,106)
        (102,140)(105,134)(110,135)(112,118)(113,148)(114,142)(116,122)(117,154)(120,126)(121,158)(124,130)(125,159)
        (128,133)(129,156)(132,146)(137,141)(139,145)(143,152)(147,153)(149,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,105)( 51, 56)( 52, 74)( 54, 77)( 55,113)
        ( 58, 64)( 59,120)( 60, 89)( 62, 68)( 63,124)( 66, 72)( 67,127)( 70, 93)( 71,131)( 75,112)( 76,109)( 79, 84)
        ( 80,114)( 82, 88)( 83,139)( 86, 92)( 87,141)( 90,116)( 91,145)( 94,100)( 95,157)( 96,134)( 98,104)( 99,151)
        (102,108)(103,147)(106,111)(107,143)(110,137)(115,138)(117,123)(118,159)(119,149)(121,126)(122,155)(125,130)
        (128,133)(129,156)(132,136)(135,153)(140,144)(142,148)(146,152)(150,158)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,113)( 52, 74)( 55, 77)
        ( 58, 64)( 59,120)( 60, 89)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 93)( 71,131)( 75,112)( 76,109)( 79, 84)
        ( 80,114)( 82, 88)( 83,140)( 86, 92)( 87,142)( 90,116)( 91,146)( 94,100)( 95,157)( 96,134)( 98,104)( 99,152)
        (102,108)(103,148)(106,111)(107,144)(110,138)(115,139)(117,123)(118,159)(119,150)(121,127)(122,156)(125,130)
        (126,136)(129,133)(132,137)(135,154)(141,145)(143,149)(147,153)(151,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 35)( 18, 58)( 22, 47)( 23, 43)( 25, 30)( 26, 74)( 27, 48)( 29, 34)( 32, 51)( 33, 75)( 36, 42)
        ( 37, 83)( 38, 62)( 40, 46)( 41, 86)( 44, 66)( 45, 90)( 49, 70)( 50, 67)( 52, 57)( 53,106)( 54, 78)( 56, 61)
        ( 59, 65)( 60,107)( 63, 82)( 64,110)( 68, 98)( 69, 94)( 71, 77)( 72,126)( 73, 99)( 76, 81)( 79,102)( 80,127)
        ( 84, 89)( 85,114)( 87, 93)( 88,135)( 91, 97)( 92,138)( 95,118)( 96,142)(100,122)(101,119)(103,109)(104,150)
        (105,130)(108,113)(111,117)(112,151)(115,134)(116,148)(120,125)(121,143)(123,129)(124,158)(128,133)(131,146)
        (132,159)(136,141)(137,153)(139,145)(140,154)(144,157)(147,152)(149,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 20)( 11, 40)( 14, 19)( 15, 52)
        ( 16, 28)( 18, 32)( 21, 27)( 22, 60)( 23, 44)( 25, 31)( 26, 61)( 29, 48)( 30, 64)( 33, 39)( 34, 76)( 35, 53)
        ( 37, 43)( 38, 79)( 41, 47)( 42, 83)( 45, 56)( 46, 87)( 49, 55)( 50, 99)( 51, 68)( 54, 72)( 57, 63)( 58,107)
        ( 59, 91)( 62, 67)( 65, 71)( 66,108)( 69, 95)( 70,111)( 73, 78)( 74,122)( 75,100)( 77, 82)( 80, 86)( 81,123)
        ( 84, 90)( 85,126)( 88, 94)( 89,130)( 92,103)( 93,134)( 96,102)( 97,146)( 98,114)(101,118)(104,110)(105,116)
        (106,138)(109,113)(112,117)(115,142)(119,125)(120,154)(121,147)(124,129)(127,133)(128,155)(131,137)(132,156)
        (135,141)(136,152)(139,145)(140,158)(143,149)(144,159)(148,150)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 20)( 11, 40)( 14, 19)( 15, 52)
        ( 16, 28)( 18, 32)( 21, 27)( 22, 60)( 23, 44)( 25, 31)( 26, 64)( 29, 48)( 30, 65)( 33, 39)( 34, 76)( 35, 53)
        ( 37, 43)( 38, 80)( 41, 47)( 42, 83)( 45, 56)( 46, 87)( 49, 55)( 50, 99)( 51, 68)( 54, 72)( 57, 63)( 58,107)
        ( 59, 91)( 61, 67)( 62,110)( 66, 71)( 69, 95)( 70,111)( 73, 79)( 74,122)( 75,100)( 77, 82)( 78,126)( 81, 86)
        ( 84, 90)( 85,127)( 88, 94)( 89,130)( 92,103)( 93,134)( 96,102)( 97,146)( 98,114)(101,118)(104,109)(105,116)
        (106,138)(108,113)(112,117)(115,142)(119,125)(120,154)(121,147)(123,129)(124,155)(128,133)(131,137)(132,156)
        (135,141)(136,152)(139,145)(140,158)(143,149)(144,159)(148,150)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 68)( 24, 45)( 26, 32)( 27, 72)( 30, 49)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 61)( 38, 44)( 39, 89)( 42, 48)( 43, 92)( 46, 64)( 47, 96)( 50, 56)( 51,108)( 52, 80)( 54, 60)( 55,112)
        ( 58, 63)( 59,116)( 62, 84)( 65, 71)( 66,124)( 67,100)( 69, 75)( 70,128)( 73, 79)( 74,129)( 77, 83)( 78,126)
        ( 81,104)( 82,122)( 85, 91)( 86,138)( 87,117)( 90, 95)( 93, 99)( 94,139)( 97,103)( 98,142)(101,120)(102,146)
        (105,111)(106,151)(107,131)(109,115)(110,153)(113,119)(114,157)(118,135)(121,127)(123,134)(125,130)(132,150)
        (133,147)(136,141)(137,158)(140,145)(143,149)(144,159)(148,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 33)( 19, 56)( 22, 28)( 23, 68)( 24, 44)( 26, 32)( 27, 72)( 30, 48)( 31, 76)( 34, 39)( 35, 60)
        ( 37, 43)( 38, 85)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,104)( 51, 80)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 84)( 62,116)( 65, 71)( 66,124)( 67, 96)( 69, 75)( 70,128)( 73, 79)( 74,129)( 77, 83)( 78,126)
        ( 81,100)( 82,122)( 86, 91)( 87,117)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,120)( 98,143)(101,107)(102,148)
        (103,131)(105,111)(106,150)(109,115)(110,154)(113,119)(114,158)(118,135)(121,127)(123,134)(125,130)(132,147)
        (133,144)(137,142)(138,159)(140,146)(141,156)(145,152)(149,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 47)( 43,105)( 46, 76)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,130)( 63, 96)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73,100)( 74,136)( 78,108)
        ( 79,106)( 81, 87)( 82,142)( 83,123)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 99)( 94,150)( 97,126)( 98,153)
        (101,107)(102,111)(103,132)(109,115)(110,128)(113,119)(114,158)(117,122)(118,141)(121,125)(124,138)(127,133)
        (129,157)(131,137)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 35)( 18, 59)( 22, 47)( 23, 43)( 25, 30)( 26, 48)( 28, 34)( 29, 72)( 32, 51)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 63)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 49, 71)( 50, 68)( 52, 58)( 53,111)( 54, 79)( 56, 62)
        ( 57,115)( 60, 66)( 61,116)( 64, 83)( 65,117)( 69,103)( 70, 99)( 73, 78)( 74,104)( 76, 82)( 77,123)( 80,107)
        ( 81,126)( 84, 90)( 85,134)( 86,113)( 88, 94)( 89,138)( 92, 98)( 93,142)( 96,102)( 97,146)(100,119)(101,150)
        (105,122)(106,120)(108,114)(109,137)(110,130)(112,118)(121,154)(124,129)(125,155)(127,133)(128,152)(131,157)
        (132,148)(135,141)(136,158)(139,145)(140,159)(143,149)(144,160)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 46)( 42, 99)( 45, 75)( 48, 54)( 49,107)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,115)( 60, 66)( 61,125)( 62, 87)( 64, 70)( 65,129)( 68, 74)( 69,133)( 72, 91)( 73,134)( 77,103)( 78,100)
        ( 81, 86)( 82,118)( 84, 90)( 85,142)( 88,121)( 89,145)( 92, 98)( 93,153)( 94,135)( 96,102)( 97,157)(101,137)
        (104,110)(105,151)(106,138)(108,114)(109,147)(112,117)(113,144)(116,120)(119,141)(122,128)(123,159)(124,149)
        (126,132)(127,155)(130,136)(131,156)(139,150)(140,158)(143,148)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 29)( 17, 32)( 18, 56)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 45)( 30, 48)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 46, 68)( 47, 65)( 49, 55)( 50,103)( 51, 73)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 66, 95)( 67, 91)( 69, 75)( 70,130)( 71, 96)( 74, 99)( 77, 83)( 78,138)( 79,119)
        ( 81, 87)( 82,142)( 85, 90)( 86,146)( 89, 94)( 92,123)( 93,147)( 97,126)( 98,124)(100,106)(101,136)(102,131)
        (104,110)(105,153)(108,114)(109,154)(112,118)(113,157)(116,122)(117,158)(120,134)(121,159)(125,150)(127,133)
        (128,144)(129,151)(132,140)(135,141)(137,156)(139,145)(143,149)(148,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 93)( 45, 51)( 46, 96)( 49, 55)( 50,100)( 53, 72)( 54,104)( 57, 63)
        ( 58,115)( 59, 84)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 88)( 70,124)( 73, 79)( 74,135)( 75,108)( 77, 83)
        ( 78,139)( 82, 87)( 85,111)( 86,140)( 89, 95)( 90,146)( 91,127)( 94, 99)( 97,103)( 98,147)(101,107)(102,150)
        (105,110)(106,154)(109,131)(112,118)(113,157)(114,137)(116,122)(117,145)(120,126)(121,129)(125,130)(128,142)
        (132,138)(133,160)(134,155)(136,141)(143,149)(144,158)(148,153)(151,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,125)( 62, 68)( 63,131)( 64, 97)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,142)
        ( 79,116)( 80,113)( 82, 88)( 83,118)( 84,122)( 86, 92)( 87,151)( 90, 96)( 91,153)( 94, 99)( 95,157)( 98,127)
        (101,107)(102,129)(103,146)(105,111)(106,159)(109,115)(110,155)(114,149)(117,123)(119,150)(121,126)(128,134)
        (130,158)(132,138)(133,147)(136,141)(137,144)(140,145)(143,148)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 51, 56)( 52, 74)( 54, 77)( 55,117)
        ( 58, 64)( 59,127)( 60, 93)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 96)( 71,138)( 75,116)( 76,112)( 78, 84)
        ( 79,146)( 80,119)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,123)( 97,103)( 98,125)( 99,141)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,121)(114,148)(118,122)(120,145)(124,130)(126,158)
        (128,134)(129,142)(132,137)(133,143)(136,140)(139,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,112)( 54, 60)( 55,116)
        ( 58, 77)( 59,117)( 62, 68)( 63,127)( 64, 93)( 66, 72)( 67,131)( 70, 76)( 71,134)( 74, 96)( 75,138)( 78, 84)
        ( 79,146)( 80,120)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,123)( 97,103)( 98,125)( 99,141)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,119)(114,148)(118,122)(121,145)(124,130)(126,158)
        (128,133)(129,142)(132,137)(135,140)(136,143)(139,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,112)( 54, 60)( 55,116)
        ( 58, 77)( 59,117)( 62, 68)( 63,127)( 64, 93)( 66, 72)( 67,131)( 70, 76)( 71,135)( 74, 96)( 75,138)( 78, 84)
        ( 79,146)( 80,120)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,123)( 97,103)( 98,125)( 99,142)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,119)(114,148)(118,122)(121,145)(124,130)(126,158)
        (128,134)(129,143)(132,137)(133,140)(136,141)(139,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 51, 56)( 52, 74)( 54, 77)( 55,117)
        ( 58, 64)( 59,127)( 60, 93)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 96)( 71,138)( 75,116)( 76,112)( 78, 84)
        ( 79,146)( 80,120)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,123)( 97,103)( 98,125)( 99,142)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,119)(114,148)(118,122)(121,145)(124,130)(126,158)
        (128,134)(129,143)(132,137)(133,140)(136,141)(139,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,112)( 54, 60)( 55,116)
        ( 58, 77)( 59,119)( 62, 68)( 63,127)( 64, 93)( 66, 72)( 67,131)( 70, 76)( 71,135)( 74, 96)( 75,138)( 78, 84)
        ( 79,146)( 80,120)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,123)( 97,103)( 98,125)( 99,141)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,118)(114,148)(117,122)(121,145)(124,130)(126,158)
        (128,134)(129,142)(132,137)(133,143)(136,140)(139,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 54)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,119)( 52, 74)( 55, 77)
        ( 58, 64)( 59,127)( 60, 93)( 62, 68)( 63,131)( 66, 72)( 67,134)( 70, 96)( 71,138)( 75,116)( 76,112)( 78, 84)
        ( 79,146)( 80,120)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,123)( 97,103)( 98,125)( 99,141)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,118)(114,148)(117,122)(121,145)(124,130)(126,158)
        (128,133)(129,142)(132,137)(135,140)(136,143)(139,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 84)( 34, 56)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 85)( 61, 67)( 62,123)( 65, 71)( 66,124)( 69, 88)( 70,127)( 74,108)( 75,104)( 77, 83)( 78,138)
        ( 79,111)( 81, 87)( 82,142)( 86,115)( 89, 95)( 90,149)( 91,130)( 93, 99)( 94,153)( 97,103)( 98,157)(101,107)
        (102,158)(105,113)(106,137)(110,114)(112,134)(116,122)(117,148)(118,143)(120,126)(121,132)(125,129)(128,133)
        (131,146)(135,141)(136,159)(139,145)(140,155)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 84)( 34, 56)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 85)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,127)( 74,108)( 75,104)( 77, 83)( 78,138)
        ( 79,112)( 81, 87)( 82,142)( 86,115)( 89, 95)( 90,149)( 91,130)( 93, 99)( 94,153)( 97,103)( 98,157)(101,107)
        (102,158)(105,111)(106,137)(110,114)(113,134)(116,122)(117,148)(118,143)(120,125)(121,132)(124,129)(128,133)
        (131,146)(135,141)(136,159)(139,145)(140,155)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,116)( 52, 74)( 55, 77)
        ( 58, 64)( 59,124)( 60, 89)( 62, 68)( 63,128)( 66, 72)( 67,131)( 70, 93)( 71,134)( 75,113)( 76,109)( 79, 84)
        ( 80,117)( 82, 88)( 83,143)( 86, 92)( 87,146)( 90,120)( 91,150)( 94,100)( 95,159)( 96,138)( 98,104)( 99,156)
        (102,108)(103,152)(106,112)(107,148)(110,115)(111,145)(114,119)(118,142)(121,127)(122,140)(123,154)(125,130)
        (126,136)(129,133)(132,137)(135,141)(139,158)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,111)( 54, 60)( 55,115)
        ( 58, 76)( 59,116)( 62, 67)( 63, 92)( 65, 71)( 66,123)( 69, 75)( 70,126)( 73, 96)( 74,129)( 77, 83)( 78,141)
        ( 79,119)( 81, 87)( 82,145)( 85, 91)( 86,149)( 89, 95)( 90,153)( 93,122)( 94,154)( 97,103)( 98,147)( 99,133)
        (101,107)(102,143)(105,110)(106,139)(109,114)(112,118)(113,140)(117,121)(120,137)(124,128)(125,157)(127,132)
        (130,136)(131,158)(134,151)(135,159)(138,144)(142,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,117)( 52, 78)( 54, 60)
        ( 55,121)( 58, 81)( 59,122)( 62, 68)( 63,128)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 97)( 75,139)
        ( 79,113)( 80,110)( 83, 88)( 84,119)( 86, 92)( 87,115)( 90, 96)( 91,149)( 94,124)( 95,151)( 98,104)( 99,126)
        (100,143)(102,108)(103,156)(106,112)(107,153)(111,147)(114,120)(116,148)(118,123)(125,131)(127,155)(129,135)
        (130,144)(133,138)(134,158)(137,142)(140,146)(141,159)(145,160)(150,154)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 98)( 40, 68)( 42, 48)( 43,102)( 46, 72)( 47,106)( 50, 56)( 51,117)( 52, 73)( 55, 76)
        ( 58, 63)( 59,125)( 60, 92)( 62, 67)( 65, 71)( 66,126)( 69, 95)( 70,129)( 74,114)( 75,110)( 77, 83)( 78,137)
        ( 79,118)( 81, 87)( 82,138)( 85, 91)( 86,141)( 89, 94)( 90,145)( 93,121)( 96,101)( 97,130)( 99,105)(100,150)
        (103,109)(104,153)(107,113)(108,157)(111,116)(112,136)(115,120)(119,133)(122,128)(123,152)(124,146)(127,132)
        (131,149)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 84)( 34, 56)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 85)( 61, 67)( 62,123)( 65, 71)( 66,124)( 69, 88)( 70,127)( 74,108)( 75,104)( 77, 83)( 78,138)
        ( 79,111)( 81, 87)( 82,142)( 86,115)( 89, 95)( 90,147)( 91,130)( 93, 99)( 94,150)( 97,103)( 98,154)(101,107)
        (102,158)(105,113)(106,137)(110,114)(112,134)(116,122)(117,149)(118,143)(120,126)(121,132)(125,129)(128,133)
        (131,146)(135,141)(136,159)(139,145)(140,156)(144,152)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 84)( 34, 56)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 85)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,127)( 74,108)( 75,104)( 77, 83)( 78,138)
        ( 79,112)( 81, 87)( 82,142)( 86,115)( 89, 95)( 90,147)( 91,130)( 93, 99)( 94,150)( 97,103)( 98,154)(101,107)
        (102,158)(105,111)(106,137)(110,114)(113,134)(116,122)(117,149)(118,143)(120,125)(121,132)(124,129)(128,133)
        (131,146)(135,141)(136,159)(139,145)(140,156)(144,152)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,130)( 74,108)( 75,104)( 78, 83)( 79,112)
        ( 81, 87)( 82,138)( 85,115)( 86,141)( 89, 95)( 90,153)( 91,133)( 93, 99)( 94,154)( 97,103)( 98,147)(101,107)
        (102,143)(105,111)(106,140)(110,114)(113,137)(116,122)(117,151)(118,145)(120,125)(121,157)(124,129)(127,132)
        (128,158)(131,136)(134,149)(135,159)(139,144)(142,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,130)( 74,108)( 75,104)( 78, 83)( 79,112)
        ( 81, 87)( 82,138)( 85,115)( 86,141)( 89, 95)( 90,153)( 91,134)( 93, 99)( 94,154)( 97,103)( 98,147)(101,107)
        (102,143)(105,111)(106,140)(110,114)(113,137)(116,122)(117,151)(118,145)(120,125)(121,157)(124,129)(127,133)
        (128,158)(131,136)(132,159)(135,149)(139,144)(142,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 53)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 54, 76)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,130)( 74,108)( 75,104)( 78, 83)( 79,112)
        ( 81, 87)( 82,138)( 85,115)( 86,141)( 89, 95)( 90,153)( 91,133)( 93, 99)( 94,154)( 97,103)( 98,147)(101,107)
        (102,143)(105,110)(106,140)(109,114)(113,137)(116,122)(117,151)(118,145)(120,125)(121,157)(124,129)(127,132)
        (128,158)(131,136)(134,149)(135,159)(139,144)(142,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 53)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 54, 76)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,130)( 74,108)( 75,104)( 78, 83)( 79,112)
        ( 81, 87)( 82,138)( 85,115)( 86,141)( 89, 95)( 90,153)( 91,134)( 93, 99)( 94,154)( 97,103)( 98,147)(101,107)
        (102,143)(105,110)(106,140)(109,114)(113,137)(116,122)(117,151)(118,145)(120,125)(121,157)(124,129)(127,133)
        (128,158)(131,136)(132,159)(135,149)(139,144)(142,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 67)( 41, 47)( 42, 99)( 45, 51)( 46,100)( 49, 55)( 50,103)( 53, 71)( 54,107)( 57, 62)
        ( 58,119)( 59, 87)( 61, 66)( 64, 70)( 65,120)( 68, 91)( 69,121)( 72, 78)( 73,127)( 74,111)( 76, 82)( 77,131)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 88,115)( 89,141)( 92, 98)( 93,149)( 94,117)( 96,102)( 97,153)(101,106)
        (104,110)(105,154)(108,114)(109,157)(112,123)(113,158)(116,122)(118,145)(124,130)(125,151)(126,159)(128,134)
        (129,147)(132,137)(133,143)(136,140)(139,144)(142,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 50)( 30, 36)( 31, 81)( 34, 53)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 69)( 43, 93)( 46, 52)( 47,103)( 48, 70)( 51, 73)( 54, 60)( 55,111)( 56, 88)
        ( 58, 64)( 59,115)( 62, 68)( 63,116)( 66, 92)( 67,119)( 71, 99)( 72, 96)( 74, 80)( 75,135)( 76,104)( 78, 83)
        ( 79,139)( 82, 87)( 85, 91)( 86,140)( 89,107)( 90,143)( 94, 98)( 95,123)( 97,127)(100,106)(101,134)(102,128)
        (105,131)(108,114)(109,154)(110,146)(112,118)(113,158)(117,122)(120,126)(121,159)(124,130)(125,156)(129,150)
        (132,138)(133,151)(136,142)(137,148)(141,145)(144,149)(147,152)(153,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 54)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 65)( 42, 48)( 43, 97)( 46, 69)( 47,100)( 50, 56)( 51,111)( 52, 70)( 55, 73)
        ( 58, 64)( 59,119)( 60, 88)( 63, 68)( 66, 92)( 67,120)( 71,107)( 72,104)( 74, 80)( 75,134)( 76,112)( 78, 84)
        ( 79,138)( 82, 87)( 83,141)( 86, 91)( 89,115)( 90,142)( 93, 99)( 94,153)( 95,123)( 98,103)(101,106)(102,154)
        (105,126)(108,114)(109,133)(110,127)(113,130)(116,122)(117,152)(118,145)(121,125)(124,149)(128,157)(129,155)
        (131,137)(132,158)(135,140)(136,147)(139,144)(143,148)(146,159)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 32)( 19, 56)( 22, 28)( 23, 63)( 24, 44)( 26, 31)( 27, 67)( 30, 48)( 33, 39)( 34, 71)( 35, 57)
        ( 37, 43)( 38, 75)( 41, 47)( 42, 79)( 45, 59)( 46, 83)( 49, 55)( 50, 95)( 51, 68)( 53, 58)( 54, 74)( 60, 66)
        ( 61,102)( 62, 87)( 64, 70)( 65,106)( 69, 91)( 72, 78)( 73, 96)( 76, 82)( 77,110)( 80, 86)( 81,114)( 84, 90)
        ( 85,118)( 88, 99)( 89,122)( 92, 98)( 93,134)( 94,107)( 97,113)(100,105)(101,126)(103,109)(104,139)(108,130)
        (111,117)(112,135)(115,121)(116,142)(119,125)(120,146)(123,129)(124,147)(127,138)(128,150)(131,137)(132,157)
        (133,140)(136,145)(141,154)(143,149)(144,158)(148,153)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 55)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,114)( 51, 76)( 53, 58)( 56, 79)
        ( 57,115)( 60, 66)( 61,121)( 62, 87)( 64, 70)( 65,122)( 68, 74)( 69,125)( 72, 91)( 73,129)( 77,110)( 78,107)
        ( 80, 86)( 81,137)( 82,112)( 85, 90)( 88,117)( 89,138)( 92, 98)( 93,149)( 94,130)( 96,102)( 97,153)(100,106)
        (101,154)(104,109)(105,157)(108,133)(111,116)(113,134)(118,124)(119,147)(120,141)(123,128)(126,132)(127,148)
        (131,145)(135,140)(136,158)(139,144)(142,151)(143,159)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 82)( 28, 55)( 30, 35)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 54)( 50,110)( 51, 76)( 53, 58)( 56, 78)
        ( 57,111)( 60, 66)( 61,121)( 62, 86)( 64, 70)( 65,125)( 68, 74)( 69,126)( 72, 90)( 73,129)( 77,106)( 79, 85)
        ( 80,137)( 81,114)( 84, 89)( 87,117)( 88,138)( 91, 97)( 92,149)( 93,130)( 95,101)( 96,153)( 99,105)(100,154)
        (103,109)(104,157)(107,113)(108,136)(112,116)(115,133)(118,124)(119,147)(120,141)(122,128)(123,148)(127,132)
        (131,145)(134,140)(135,158)(139,144)(142,151)(143,159)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 82)( 28, 56)( 30, 35)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,110)( 51, 76)( 53, 58)( 54,113)
        ( 57, 78)( 60, 66)( 61,121)( 62, 86)( 64, 70)( 65,125)( 68, 74)( 69,126)( 72, 90)( 73,129)( 77,106)( 79, 85)
        ( 80,141)( 81,114)( 84, 89)( 87,117)( 88,142)( 91, 97)( 92,150)( 93,133)( 95,101)( 96,153)( 99,105)(100,154)
        (103,109)(104,157)(107,112)(108,140)(111,116)(115,137)(118,124)(119,135)(120,145)(122,128)(123,131)(127,132)
        (130,136)(134,149)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 35)( 31, 86)( 34, 59)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,110)( 51, 76)( 53, 58)( 54,113)
        ( 57, 78)( 60, 66)( 61,121)( 62, 87)( 64, 70)( 65,125)( 68, 74)( 69,126)( 72, 90)( 73,129)( 77,106)( 79, 85)
        ( 80,141)( 81,114)( 83, 89)( 84,145)( 88,117)( 91, 97)( 92,150)( 93,133)( 95,101)( 96,153)( 99,105)(100,157)
        (103,109)(104,158)(107,112)(108,140)(111,116)(115,137)(118,124)(119,135)(120,146)(122,128)(123,131)(127,132)
        (130,136)(134,149)(138,144)(139,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 54)( 50,110)( 51, 76)( 53, 58)( 56, 78)
        ( 57,111)( 60, 66)( 61,121)( 62, 86)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 90)( 73,130)( 77,106)( 80, 85)
        ( 81,114)( 83, 89)( 84,138)( 87,117)( 88,141)( 91, 97)( 92,153)( 93,133)( 95,101)( 96,154)( 99,105)(100,147)
        (103,109)(104,143)(107,113)(108,140)(112,116)(115,137)(118,124)(119,151)(120,145)(122,128)(123,157)(126,132)
        (127,158)(131,136)(134,149)(135,159)(139,144)(142,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 79)( 33, 59)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,110)( 51, 76)( 53, 58)( 54,113)
        ( 57, 78)( 60, 66)( 61,121)( 62, 86)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 90)( 73,133)( 77,106)( 80, 85)
        ( 81,114)( 83, 89)( 84,138)( 87,117)( 88,141)( 91, 97)( 92,153)( 93,134)( 95,101)( 96,154)( 99,105)(100,147)
        (103,109)(104,143)(107,112)(108,140)(111,116)(115,137)(118,124)(119,151)(120,145)(122,128)(123,157)(126,132)
        (127,158)(130,136)(131,159)(135,149)(139,144)(142,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 75)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,119)
        ( 57, 79)( 58,123)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 74)( 70,102)( 73, 99)( 77,111)( 78,108)
        ( 80, 86)( 81,139)( 82,127)( 84, 90)( 85,142)( 88, 94)( 89,146)( 92, 98)( 93,147)( 96,113)( 97,150)(100,106)
        (101,135)(104,110)(105,136)(109,132)(112,118)(114,133)(116,122)(117,151)(120,126)(121,154)(124,129)(125,158)
        (128,138)(131,137)(140,145)(141,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 47)( 43,104)( 46, 72)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,130)( 63, 92)( 65, 71)( 66, 99)( 70, 96)( 74,107)( 75,105)( 77, 83)( 78,138)
        ( 79,123)( 81, 87)( 82,142)( 85, 91)( 86,143)( 89, 95)( 90,146)( 93,126)( 94,150)( 97,103)( 98,131)(101,106)
        (102,110)(108,114)(109,132)(112,118)(113,128)(116,122)(117,155)(120,125)(121,158)(124,134)(127,133)(129,154)
        (135,141)(136,152)(137,159)(139,145)(140,148)(144,149)(147,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,119)( 62, 68)( 63,128)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,135)( 74, 97)( 75,139)
        ( 79,117)( 80,113)( 82, 88)( 83,146)( 84,115)( 86, 92)( 87,150)( 91, 96)( 94,124)( 95,151)( 98,104)( 99,126)
        (100,142)(102,108)(103,155)(106,112)(107,158)(110,116)(111,149)(114,120)(118,123)(125,131)(127,154)(129,134)
        (130,143)(133,138)(136,141)(137,144)(140,145)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,122)( 62, 68)( 63,131)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,138)( 74,100)( 75,142)
        ( 79,120)( 80,116)( 82, 87)( 83,149)( 84,118)( 86, 91)( 89, 95)( 90,150)( 93, 99)( 94,153)( 97,127)( 98,157)
        (101,107)(102,129)(103,145)(105,111)(106,159)(109,115)(110,155)(113,119)(114,152)(117,123)(121,126)(128,134)
        (130,158)(132,137)(133,146)(136,141)(139,144)(140,147)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,122)( 62, 68)( 63,131)( 64, 97)( 66, 72)( 67,135)( 70, 76)( 71,138)( 74,100)( 75,142)
        ( 79,120)( 80,116)( 82, 88)( 83,149)( 84,118)( 86, 92)( 87,150)( 90, 96)( 91,153)( 94, 99)( 95,157)( 98,127)
        (101,107)(102,129)(103,145)(105,111)(106,159)(109,115)(110,155)(113,119)(114,152)(117,123)(121,126)(128,134)
        (130,158)(132,137)(133,146)(136,141)(139,144)(140,147)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,118)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,121)( 62, 68)( 63,128)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 97)( 75,139)
        ( 79,117)( 80,113)( 82, 88)( 83,146)( 84,115)( 86, 92)( 87,150)( 91, 96)( 94,124)( 95,151)( 98,104)( 99,126)
        (100,142)(102,108)(103,155)(106,112)(107,158)(110,116)(111,149)(114,122)(120,123)(125,131)(127,154)(129,135)
        (130,143)(133,138)(134,144)(137,141)(140,145)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,124)( 62, 68)( 63,131)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,142)
        ( 79,120)( 80,116)( 82, 87)( 83,149)( 84,118)( 86, 91)( 89, 95)( 90,150)( 93, 99)( 94,153)( 97,127)( 98,157)
        (101,107)(102,129)(103,145)(105,111)(106,159)(109,115)(110,155)(113,119)(114,152)(117,125)(123,126)(128,134)
        (130,158)(132,138)(133,146)(136,141)(137,147)(140,144)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,124)( 62, 68)( 63,131)( 64, 97)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,142)
        ( 79,120)( 80,116)( 82, 88)( 83,149)( 84,118)( 86, 92)( 87,150)( 90, 96)( 91,153)( 94, 99)( 95,157)( 98,127)
        (101,107)(102,129)(103,145)(105,111)(106,159)(109,115)(110,155)(113,119)(114,152)(117,125)(123,126)(128,134)
        (130,158)(132,138)(133,146)(136,141)(137,147)(140,144)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,118)( 52, 78)( 54, 60)
        ( 55,120)( 58, 81)( 59,121)( 62, 68)( 63,128)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 97)( 75,139)
        ( 79,117)( 80,113)( 82, 88)( 83,146)( 84,115)( 86, 92)( 87,150)( 91, 96)( 94,124)( 95,151)( 98,104)( 99,126)
        (100,143)(102,108)(103,155)(106,112)(107,158)(110,116)(111,149)(114,122)(119,123)(125,131)(127,154)(129,135)
        (130,144)(133,138)(134,141)(137,142)(140,145)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,124)( 62, 68)( 63,131)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,142)
        ( 79,120)( 80,116)( 82, 87)( 83,149)( 84,118)( 86, 91)( 89, 95)( 90,150)( 93, 99)( 94,153)( 97,127)( 98,157)
        (101,107)(102,129)(103,146)(105,111)(106,159)(109,115)(110,155)(113,119)(114,152)(117,125)(122,126)(128,134)
        (130,158)(132,138)(133,147)(136,141)(137,144)(140,145)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,124)( 62, 68)( 63,131)( 64, 97)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,142)
        ( 79,120)( 80,116)( 82, 88)( 83,149)( 84,118)( 86, 92)( 87,150)( 90, 96)( 91,153)( 94, 99)( 95,157)( 98,127)
        (101,107)(102,129)(103,146)(105,111)(106,159)(109,115)(110,155)(113,119)(114,152)(117,125)(122,126)(128,134)
        (130,158)(132,138)(133,147)(136,141)(137,144)(140,145)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,123)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,125)( 62, 68)( 63,131)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,138)( 74,100)( 75,141)
        ( 79,119)( 80,116)( 82, 87)( 83,121)( 85, 91)( 86,147)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,127)( 98,157)
        (101,107)(102,129)(103,142)(105,111)(106,159)(109,115)(110,155)(113,118)(114,151)(117,145)(120,126)(122,146)
        (128,134)(130,158)(132,137)(133,143)(136,140)(139,144)(148,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 85)( 38, 43)( 39, 72)( 41, 47)( 42, 93)( 45, 51)( 46, 96)( 49, 55)( 50,100)( 53, 59)( 54,104)( 57, 76)
        ( 58,108)( 61, 67)( 62,119)( 63, 88)( 65, 71)( 66,123)( 69, 75)( 70,126)( 73, 92)( 74,130)( 77, 83)( 78,142)
        ( 79,111)( 81, 87)( 82,146)( 86, 91)( 89,115)( 90,147)( 94, 99)( 95,134)( 97,103)( 98,155)(101,107)(102,141)
        (105,110)(106,113)(109,114)(112,138)(116,122)(117,132)(118,150)(120,125)(121,128)(124,129)(127,133)(131,137)
        (135,154)(136,151)(139,145)(140,156)(143,149)(144,159)(148,153)(152,160)(157,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 76)
        ( 58,111)( 61, 67)( 62,122)( 63, 91)( 65, 71)( 66,126)( 69, 75)( 70,129)( 73, 95)( 74,133)( 77, 82)( 78,145)
        ( 79,114)( 81, 86)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92,118)( 93,153)( 97,102)( 98,137)(100,106)(101,158)
        (104,110)(105,144)(108,113)(109,116)(112,117)(115,141)(119,125)(120,135)(121,154)(123,128)(124,131)(127,132)
        (130,136)(134,140)(138,157)(139,155)(142,148)(143,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 86)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 51, 56)( 52, 74)( 54, 77)( 55,113)
        ( 58, 64)( 59,124)( 60, 89)( 62, 68)( 63,128)( 66, 72)( 67,129)( 70, 93)( 71,126)( 75,112)( 76,108)( 78, 84)
        ( 79,138)( 80,116)( 82, 88)( 83,142)( 87, 92)( 90,120)( 91,143)( 94, 99)( 95,150)( 96,122)( 98,103)(101,107)
        (102,151)(105,111)(106,154)(109,131)(110,137)(114,119)(115,132)(117,134)(118,133)(121,127)(123,146)(125,130)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,117)( 62, 68)( 63,123)( 64, 89)( 67, 72)( 70, 93)( 71,124)( 75,111)( 76,108)( 78, 84)
        ( 79,134)( 80,113)( 82, 88)( 83,138)( 87, 92)( 90,119)( 91,139)( 94, 99)( 95,127)( 97,103)( 98,147)(101,107)
        (102,150)(105,110)(106,154)(109,130)(112,118)(114,131)(120,126)(121,149)(122,142)(125,129)(128,146)(132,137)
        (133,155)(135,141)(136,159)(140,145)(143,152)(144,160)(148,153)(151,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 71)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 55)( 51, 76)( 53, 59)( 54,112)
        ( 57, 79)( 58,113)( 61, 66)( 62,123)( 63, 91)( 65, 70)( 68, 74)( 69,124)( 72, 95)( 73,127)( 77,111)( 78,107)
        ( 80, 86)( 81,138)( 82,115)( 84, 90)( 85,142)( 89, 94)( 92,119)( 93,143)( 97,102)( 98,130)(100,106)(101,151)
        (104,110)(105,154)(108,117)(109,137)(114,118)(116,134)(120,126)(121,132)(122,146)(125,129)(128,133)(131,150)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 55)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,116)( 61, 66)( 62,126)( 63, 95)( 65, 70)( 68, 74)( 69,127)( 72, 98)( 73,130)( 77,114)( 78,110)
        ( 80, 86)( 81,141)( 82,118)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 97)( 93,149)( 96,122)(100,105)(101,133)
        (103,109)(104,154)(107,113)(108,157)(111,120)(112,140)(117,121)(119,137)(123,129)(124,135)(125,150)(128,132)
        (131,136)(134,153)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 98)( 40, 71)( 42, 48)( 43,102)( 46, 74)( 47,106)( 50, 55)( 51,115)( 52, 75)( 54, 59)
        ( 57, 78)( 58,116)( 61, 66)( 62,126)( 63, 90)( 65, 70)( 68, 73)( 69,127)( 72, 94)( 76,114)( 77,110)( 79, 85)
        ( 80,134)( 81,118)( 83, 89)( 84,138)( 88, 93)( 91,122)( 92,139)( 95,101)( 96,146)( 97,128)( 99,105)(100,147)
        (103,109)(104,150)(107,113)(108,154)(111,120)(112,133)(117,121)(119,130)(123,129)(124,149)(125,142)(131,137)
        (132,155)(135,141)(136,158)(140,145)(143,152)(144,159)(148,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 89)( 38, 44)( 39,101)( 40, 71)( 42, 48)( 43,105)( 46, 74)( 47,109)( 50, 55)( 51,118)( 52, 75)( 54, 59)
        ( 57, 78)( 58,119)( 61, 66)( 62,129)( 63, 93)( 65, 70)( 68, 73)( 69,130)( 72, 97)( 76,117)( 77,113)( 79, 84)
        ( 80,137)( 81,121)( 83, 88)( 86, 92)( 87,138)( 90, 96)( 91,141)( 94,125)( 95,145)( 98,104)( 99,149)(100,131)
        (102,108)(103,150)(106,112)(107,153)(110,116)(111,157)(114,123)(115,136)(120,124)(122,133)(126,132)(127,152)
        (128,146)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 70)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,111)( 52, 74)( 54, 60)
        ( 55,112)( 58, 76)( 59,115)( 62, 68)( 63,123)( 64, 88)( 66, 72)( 67,126)( 71, 92)( 75,107)( 77, 83)( 78,134)
        ( 79,116)( 81, 87)( 82,138)( 86, 91)( 89,119)( 90,139)( 93, 98)( 94,127)( 96,102)( 97,147)(100,106)(101,150)
        (104,110)(105,154)(108,114)(109,133)(113,118)(117,130)(120,125)(121,149)(122,142)(124,129)(128,146)(131,137)
        (132,155)(135,141)(136,158)(140,145)(143,152)(144,159)(148,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 98)( 40, 70)( 42, 48)( 43,102)( 46, 73)( 47,106)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,115)( 58, 76)( 59,118)( 62, 68)( 63,126)( 64, 91)( 66, 72)( 67,129)( 71, 95)( 75,110)( 77, 82)( 78,137)
        ( 79,119)( 81, 86)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,122)( 93,145)( 96,101)( 97,130)( 99,105)(100,150)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,136)(116,121)(120,133)(123,128)(124,152)(125,146)(127,132)
        (131,149)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 98)( 40, 70)( 42, 48)( 43,102)( 46, 73)( 47,106)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,115)( 58, 76)( 59,118)( 62, 68)( 63,126)( 64, 92)( 66, 72)( 67,129)( 71, 95)( 75,110)( 77, 83)( 78,137)
        ( 79,119)( 81, 87)( 82,138)( 85, 91)( 86,141)( 89, 94)( 90,145)( 93,122)( 96,101)( 97,130)( 99,105)(100,150)
        (103,109)(104,153)(107,113)(108,157)(111,117)(112,136)(116,121)(120,133)(123,128)(124,152)(125,146)(127,132)
        (131,149)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 71)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 55)( 51, 76)( 53, 59)( 54,112)
        ( 57, 79)( 58,115)( 61, 67)( 62,123)( 63, 91)( 65, 70)( 66,126)( 69, 74)( 72, 95)( 73,127)( 77,111)( 78,107)
        ( 80, 86)( 81,138)( 82,116)( 84, 90)( 85,142)( 89, 94)( 92,119)( 93,143)( 97,102)( 98,130)(100,106)(101,151)
        (104,110)(105,154)(108,114)(109,137)(113,118)(117,134)(120,125)(121,132)(122,146)(124,129)(128,133)(131,150)
        (135,141)(136,155)(139,145)(140,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 55)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 67)( 62,126)( 63, 94)( 65, 70)( 66,129)( 69, 74)( 72, 98)( 73,130)( 77,114)( 78,110)
        ( 80, 85)( 81,141)( 82,119)( 84, 89)( 87, 93)( 88,142)( 91, 97)( 92,145)( 95,122)( 96,149)(100,105)(101,133)
        (103,109)(104,154)(107,113)(108,157)(111,117)(112,140)(116,121)(120,137)(123,128)(124,135)(125,150)(127,132)
        (131,136)(134,153)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 55)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 67)( 62,126)( 63, 95)( 65, 70)( 66,129)( 69, 74)( 72, 98)( 73,130)( 77,114)( 78,110)
        ( 80, 86)( 81,141)( 82,119)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 97)( 93,149)( 96,122)(100,105)(101,133)
        (103,109)(104,154)(107,113)(108,157)(111,117)(112,140)(116,121)(120,137)(123,128)(124,135)(125,150)(127,132)
        (131,136)(134,153)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 89)( 38, 44)( 39,101)( 40, 71)( 42, 48)( 43,105)( 46, 74)( 47,109)( 50, 56)( 51,118)( 52, 75)( 54, 59)
        ( 55,121)( 58, 78)( 61, 67)( 62,129)( 63, 93)( 65, 70)( 66,100)( 69, 73)( 72, 97)( 76,117)( 77,113)( 79, 84)
        ( 80,137)( 81,122)( 83, 88)( 86, 92)( 87,138)( 90, 96)( 91,141)( 94,125)( 95,145)( 98,104)( 99,130)(102,108)
        (103,149)(106,112)(107,153)(110,116)(111,157)(114,120)(115,136)(119,124)(123,133)(126,132)(127,151)(128,146)
        (131,152)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39,101)( 40, 71)( 42, 48)( 43,105)( 46, 74)( 47,109)( 50, 56)( 51,118)( 52, 75)( 54, 59)
        ( 55,121)( 58, 78)( 61, 67)( 62,129)( 63, 94)( 65, 70)( 66,100)( 69, 73)( 72, 97)( 76,117)( 77,113)( 79, 85)
        ( 80,137)( 81,122)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91, 96)( 92,145)( 95,125)( 98,104)( 99,130)(102,108)
        (103,149)(106,112)(107,153)(110,116)(111,157)(114,120)(115,136)(119,124)(123,133)(126,132)(127,151)(128,146)
        (131,152)(134,140)(135,158)(139,144)(142,148)(143,159)(147,155)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 72)( 42, 48)( 43, 99)( 46, 52)( 47,103)( 50, 56)( 51,107)( 54, 60)( 55,111)
        ( 58, 76)( 59,115)( 62, 67)( 63,126)( 64, 88)( 66, 71)( 69, 75)( 70,127)( 73, 92)( 74,130)( 77, 83)( 78,138)
        ( 79,118)( 82, 87)( 85, 91)( 86,139)( 89,122)( 90,142)( 93, 98)( 94,131)( 96,102)( 97,150)(100,106)(101,153)
        (104,110)(105,157)(108,114)(109,137)(112,117)(113,120)(116,121)(119,134)(123,129)(124,152)(125,146)(128,133)
        (132,149)(135,141)(136,158)(140,145)(143,148)(144,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 92)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 76)
        ( 58,112)( 61, 67)( 62,123)( 63, 85)( 65, 71)( 66,127)( 69, 75)( 70,131)( 73, 88)( 74,132)( 77, 83)( 78,138)
        ( 79,115)( 81, 87)( 82,142)( 86,119)( 89, 95)( 90,146)( 91,129)( 93, 99)( 94,150)( 97,103)( 98,154)(101,107)
        (102,158)(105,111)(106,137)(109,114)(110,117)(113,118)(116,134)(120,126)(121,148)(122,143)(124,130)(125,149)
        (128,133)(135,141)(136,159)(139,145)(140,156)(144,152)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,120)( 52, 77)( 54, 59)
        ( 57, 80)( 58,121)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,133)( 69, 75)( 70,137)( 73, 99)( 74,138)( 78,119)
        ( 79,115)( 81, 86)( 82,123)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,127)( 97,153)(100,106)
        (101,159)(102,139)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,125)(117,144)(122,126)(124,141)
        (128,132)(129,157)(131,136)(134,140)(135,158)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,120)( 52, 77)( 54, 59)
        ( 57, 80)( 58,121)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,123)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,127)( 97,153)(100,106)
        (101,159)(102,136)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,125)(117,144)(122,126)(124,141)
        (128,133)(129,157)(131,137)(132,158)(135,140)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 59)
        ( 55,123)( 58, 80)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,133)( 69, 75)( 70,137)( 73, 99)( 74,138)( 78,119)
        ( 79,115)( 81, 86)( 82,124)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,127)( 97,153)(100,106)
        (101,159)(102,139)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,122)(117,144)(121,126)(125,141)
        (128,132)(129,157)(131,136)(134,140)(135,158)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 59)
        ( 55,123)( 58, 80)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,124)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,127)( 97,153)(100,106)
        (101,159)(102,136)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,122)(117,144)(121,126)(125,141)
        (128,133)(129,157)(131,137)(132,158)(135,140)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50, 76)( 52, 58)( 53,112)( 56, 79)
        ( 57,115)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,130)( 72, 91)( 73,134)( 77,111)( 78,107)
        ( 81, 86)( 82,116)( 84, 90)( 85,139)( 88,119)( 89,142)( 92, 98)( 93,154)( 94,135)( 96,102)( 97,155)(100,106)
        (101,148)(104,110)(105,144)(108,114)(109,141)(113,118)(117,138)(120,126)(121,152)(122,146)(124,129)(125,158)
        (128,133)(131,137)(132,159)(136,150)(140,145)(143,149)(147,156)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 92)( 39, 72)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 76)
        ( 58,112)( 61, 67)( 62,123)( 63, 85)( 65, 71)( 66,127)( 69, 75)( 70,131)( 73, 88)( 74,132)( 77, 83)( 78,138)
        ( 79,115)( 81, 87)( 82,142)( 86,119)( 89, 95)( 90,146)( 91,129)( 93, 99)( 94,149)( 97,103)( 98,153)(101,107)
        (102,157)(105,111)(106,137)(109,114)(110,117)(113,118)(116,134)(120,126)(121,151)(122,143)(124,130)(125,148)
        (128,133)(135,141)(136,158)(139,145)(140,159)(144,155)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50, 76)( 52, 58)( 53,112)( 56, 79)
        ( 57,113)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,131)( 72, 91)( 73,132)( 77,111)( 78,107)
        ( 81, 86)( 82,115)( 84, 90)( 85,139)( 88,119)( 89,142)( 92, 98)( 93,154)( 94,135)( 96,102)( 97,158)(100,106)
        (101,148)(104,110)(105,144)(108,117)(109,141)(114,118)(116,138)(120,126)(121,156)(122,146)(124,130)(125,152)
        (128,134)(129,153)(133,137)(136,150)(140,145)(143,149)(147,159)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,112)( 51, 76)( 53, 58)( 56, 79)
        ( 57,113)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,131)( 72, 91)( 73,132)( 77,111)( 78,107)
        ( 81, 86)( 82,115)( 84, 90)( 85,140)( 88,119)( 89,143)( 92, 98)( 93,154)( 94,135)( 96,102)( 97,158)(100,106)
        (101,149)(104,110)(105,145)(108,117)(109,142)(114,118)(116,139)(120,126)(121,156)(122,147)(124,130)(125,153)
        (128,134)(129,137)(133,138)(136,151)(141,146)(144,150)(148,159)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50, 76)( 52, 58)( 53,112)( 56, 79)
        ( 57,115)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,128)( 72, 91)( 73,131)( 77,111)( 78,107)
        ( 81, 86)( 82,116)( 84, 90)( 85,139)( 88,119)( 89,142)( 92, 98)( 93,154)( 94,135)( 96,102)( 97,158)(100,106)
        (101,148)(104,110)(105,144)(108,114)(109,141)(113,118)(117,138)(120,126)(121,156)(122,146)(124,130)(125,152)
        (129,134)(132,137)(133,153)(136,150)(140,145)(143,149)(147,159)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 58)( 54,115)
        ( 57, 79)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,128)( 72, 91)( 73,131)( 77,111)( 78,107)
        ( 81, 86)( 82,116)( 84, 90)( 85,139)( 88,119)( 89,142)( 92, 98)( 93,154)( 94,135)( 96,102)( 97,158)(100,106)
        (101,148)(104,110)(105,144)(108,114)(109,141)(113,118)(117,138)(120,126)(121,156)(122,146)(124,130)(125,152)
        (129,134)(132,137)(133,153)(136,150)(140,145)(143,149)(147,159)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 38, 43)( 39, 65)( 41, 47)( 42, 93)( 45, 68)( 46, 96)( 49, 55)( 50,107)( 51, 69)( 54, 72)( 57, 63)
        ( 58,115)( 59, 88)( 61, 67)( 62,118)( 66, 92)( 70,104)( 71,100)( 73, 79)( 74,130)( 75,108)( 77, 83)( 78,134)
        ( 81, 87)( 82,138)( 85, 91)( 86,141)( 89,111)( 90,145)( 94, 99)( 95,119)( 97,103)( 98,154)(101,122)(102,157)
        (105,110)(106,123)(109,126)(112,117)(113,156)(114,149)(116,121)(120,153)(124,129)(125,158)(127,133)(128,151)
        (131,137)(132,147)(135,140)(136,143)(139,144)(142,148)(146,152)(150,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 38, 43)( 39, 65)( 41, 47)( 42, 93)( 45, 68)( 46, 96)( 49, 55)( 50,108)( 51, 69)( 54, 72)( 57, 63)
        ( 58,116)( 59, 88)( 61, 67)( 62,119)( 66, 92)( 70,104)( 71,100)( 73, 79)( 74,127)( 75,109)( 77, 83)( 78,131)
        ( 81, 87)( 82,135)( 85, 91)( 86,138)( 89,112)( 90,142)( 94, 99)( 95,120)( 97,103)( 98,151)(101,107)(102,154)
        (105,111)(106,158)(110,123)(113,118)(114,153)(115,146)(117,122)(121,150)(124,130)(125,148)(126,159)(128,134)
        (129,144)(132,137)(133,140)(136,141)(139,145)(143,149)(147,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 50)( 30, 36)( 31, 80)( 34, 53)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 69)( 43, 93)( 46, 52)( 47,104)( 48, 70)( 51, 73)( 54, 60)( 55,112)( 56, 88)
        ( 58, 64)( 59,116)( 62, 68)( 63,119)( 66, 92)( 67,123)( 71,100)( 72, 96)( 74, 79)( 75,135)( 76,105)( 78, 83)
        ( 81, 87)( 82,136)( 85, 91)( 86,139)( 89,108)( 90,143)( 94, 99)( 95,127)( 97,103)( 98,151)(101,107)(102,154)
        (106,131)(109,115)(110,125)(111,146)(113,118)(114,121)(117,122)(120,126)(124,130)(128,150)(129,147)(132,138)
        (133,158)(134,155)(137,142)(140,145)(141,159)(144,149)(148,160)(152,156)(153,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,117)( 61, 67)( 62,127)( 63, 88)( 65, 71)( 66,131)( 69, 75)( 70,132)( 73, 92)( 74,129)( 78,108)
        ( 79,105)( 81, 87)( 82,141)( 83,120)( 86, 91)( 89,123)( 90,142)( 93, 99)( 94,149)( 95,125)( 97,103)( 98,150)
        (101,107)(102,153)(106,134)(109,115)(110,157)(111,135)(113,119)(114,140)(118,122)(121,137)(124,130)(126,145)
        (128,133)(136,154)(138,144)(139,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 76)( 28, 52)( 30, 35)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 55)( 51, 69)( 53, 72)( 54,105)( 57, 63)
        ( 58,115)( 59, 80)( 61, 67)( 62,119)( 66, 84)( 70,104)( 71,100)( 73, 79)( 74,130)( 75,108)( 78, 83)( 81,111)
        ( 82,131)( 85, 91)( 86,138)( 87,120)( 89, 95)( 90,142)( 93, 99)( 94,146)( 97,103)( 98,150)(101,122)(102,153)
        (106,110)(107,123)(109,126)(112,118)(113,140)(114,134)(116,121)(117,141)(124,129)(125,154)(127,133)(128,158)
        (132,137)(135,144)(136,159)(139,145)(143,149)(147,152)(148,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,104)( 46, 75)( 47,107)( 50, 56)( 51,115)( 52, 76)( 54, 60)
        ( 55,119)( 58, 79)( 59,120)( 62, 67)( 63,130)( 64, 95)( 66, 71)( 69, 74)( 70,131)( 73, 99)( 77,111)( 78,108)
        ( 80, 86)( 81,142)( 82,123)( 84, 90)( 85,146)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,126)( 97,153)(100,106)
        (101,137)(102,132)(105,110)(109,134)(112,118)(113,158)(114,135)(116,122)(117,141)(121,125)(124,138)(127,133)
        (128,136)(129,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,116)( 61, 66)( 62,126)( 63, 95)( 65, 70)( 68, 74)( 69,127)( 72, 99)( 73,130)( 77,107)( 78,104)
        ( 80, 86)( 81,142)( 82,119)( 84, 90)( 85,146)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,122)( 97,153)(101,106)
        (102,131)(105,134)(108,114)(109,158)(110,135)(112,118)(113,141)(117,121)(120,138)(123,129)(124,136)(125,157)
        (128,133)(132,137)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,104)( 46, 75)( 47,107)( 50, 56)( 51,115)( 52, 76)( 54, 60)
        ( 55,119)( 58, 79)( 59,122)( 62, 67)( 63,130)( 64, 95)( 66, 71)( 69, 74)( 70,131)( 73, 99)( 77,111)( 78,108)
        ( 80, 86)( 81,142)( 82,123)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,150)( 96,126)( 97,153)(100,106)
        (101,137)(102,132)(105,110)(109,134)(112,118)(113,158)(114,135)(116,121)(117,141)(120,125)(124,138)(127,133)
        (128,136)(129,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 66)( 62,126)( 63, 95)( 65, 70)( 68, 74)( 69,127)( 72, 99)( 73,130)( 77,107)( 78,104)
        ( 80, 86)( 81,142)( 82,119)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,150)( 96,122)( 97,153)(101,106)
        (102,131)(105,134)(108,114)(109,158)(110,135)(112,117)(113,141)(116,121)(120,138)(123,129)(124,136)(125,157)
        (128,133)(132,137)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 54)( 30, 36)( 31, 79)( 34, 57)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 99)( 46, 71)( 47,103)( 50, 56)( 51,114)( 52, 72)( 55, 75)
        ( 58, 64)( 59,122)( 60, 87)( 62, 67)( 63, 94)( 66, 70)( 69, 91)( 73,111)( 74,107)( 77, 82)( 78,115)( 80, 86)
        ( 81,131)( 84, 90)( 85,134)( 88,118)( 89,138)( 92, 98)( 93,123)( 96,102)( 97,145)(100,106)(101,149)(104,110)
        (105,153)(108,126)(109,157)(112,117)(113,127)(116,130)(119,125)(120,147)(121,142)(124,148)(128,133)(129,158)
        (132,137)(135,141)(136,159)(139,144)(140,155)(143,151)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 43)( 39,100)( 40, 72)( 42, 47)( 45, 76)( 46,101)( 49, 55)( 50,108)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58,113)( 61, 67)( 62,123)( 63, 92)( 65, 71)( 66,124)( 69, 75)( 70,127)( 73, 96)( 74,130)( 78,104)
        ( 79,102)( 81, 87)( 82,142)( 83,116)( 85, 91)( 86,146)( 90, 95)( 93,119)( 94,147)( 97,103)( 98,107)( 99,134)
        (105,111)(106,155)(109,115)(110,141)(114,118)(117,138)(120,126)(121,132)(122,150)(125,129)(128,133)(131,137)
        (135,154)(136,151)(139,145)(140,156)(143,149)(144,159)(148,153)(152,160)(157,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 49)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 61)( 41, 47)( 42, 95)( 45, 64)( 46, 99)( 50, 55)( 51, 65)( 53, 68)( 54,108)( 57, 63)
        ( 58, 90)( 59, 83)( 62, 87)( 66,107)( 67,103)( 69, 74)( 70,126)( 71,111)( 73, 78)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84,114)( 85,134)( 88, 94)( 89,115)( 92, 98)( 93,138)( 96,102)( 97,142)(100,106)(101,145)(104,118)
        (105,149)(109,113)(110,119)(112,122)(116,141)(117,135)(120,125)(121,150)(123,129)(124,158)(128,133)(131,137)
        (132,159)(136,153)(139,144)(140,154)(143,148)(146,152)(147,155)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 76)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 85)( 39, 61)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,103)( 51, 65)( 54, 68)( 57, 63)
        ( 58,111)( 59, 80)( 62, 84)( 66,100)( 67, 96)( 69, 75)( 70,123)( 71,104)( 73, 79)( 74,127)( 78, 83)( 81,107)
        ( 82,128)( 86, 91)( 87,112)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,115)( 98,143)(101,106)(102,116)(105,119)
        (108,114)(109,151)(110,131)(113,135)(117,122)(118,144)(120,126)(121,155)(124,130)(125,158)(129,134)(132,147)
        (133,159)(137,142)(138,152)(140,146)(141,149)(145,154)(148,153)(150,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 88)( 39, 61)( 41, 47)( 42, 91)( 45, 64)( 46, 95)( 49, 55)( 50,106)( 51, 65)( 54, 68)( 57, 63)
        ( 58,114)( 59, 83)( 62, 87)( 66,103)( 67, 99)( 69, 74)( 70,126)( 71,107)( 73, 78)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84,110)( 85,134)( 89, 94)( 90,115)( 92, 98)( 93,139)( 96,102)( 97,142)(100,118)(101,146)(104,109)
        (105,119)(108,122)(111,117)(112,154)(113,135)(116,138)(120,125)(121,147)(123,129)(124,158)(128,133)(131,137)
        (132,159)(136,150)(140,145)(141,155)(143,149)(144,152)(148,157)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 81)( 38, 43)( 39, 64)( 41, 47)( 42, 89)( 45, 68)( 46, 92)( 49, 55)( 50,104)( 51, 69)( 54, 72)( 57, 63)
        ( 58,112)( 59, 84)( 62, 67)( 65, 88)( 66,113)( 70,100)( 71, 96)( 73, 79)( 74,124)( 75,105)( 77, 83)( 78,128)
        ( 82, 87)( 85,108)( 86,129)( 90, 95)( 91,116)( 93, 99)( 94,137)( 97,103)( 98,140)(101,107)(102,144)(106,120)
        (109,115)(110,151)(111,132)(114,119)(117,136)(118,152)(121,127)(122,154)(123,145)(125,131)(126,158)(130,135)
        (133,147)(134,159)(138,143)(139,149)(141,146)(142,157)(148,153)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 38, 43)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 95)( 49, 55)( 50,107)( 51, 69)( 54, 72)( 57, 63)
        ( 58,115)( 59, 87)( 62, 67)( 65, 91)( 66,116)( 70,103)( 71, 99)( 73, 78)( 74,127)( 75,108)( 77, 82)( 80, 86)
        ( 81,128)( 84, 90)( 85,131)( 88,111)( 89,135)( 93, 98)( 94,119)( 96,102)( 97,140)(100,106)(101,143)(104,110)
        (105,147)(109,123)(112,118)(113,154)(114,136)(117,122)(120,139)(121,155)(124,130)(125,157)(126,148)(129,134)
        (132,138)(133,158)(137,150)(141,146)(142,152)(144,149)(145,160)(151,156)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,108)
        ( 58, 63)( 59,118)( 60, 81)( 62, 67)( 65, 71)( 66,119)( 69, 84)( 70,122)( 74, 99)( 75, 96)( 77, 83)( 78,137)
        ( 79,111)( 82,114)( 85, 91)( 86,145)( 87,126)( 89, 94)( 90,132)( 93, 98)( 97,129)(100,106)(101,149)(102,130)
        (104,110)(105,136)(109,113)(112,133)(115,121)(116,157)(117,138)(120,125)(123,128)(124,158)(127,141)(131,146)
        (134,140)(135,150)(139,153)(142,148)(143,155)(144,159)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 49)( 31, 53)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 68)( 43, 91)( 47, 52)( 48, 69)( 50, 72)( 51,100)( 54, 60)( 55,110)( 56, 77)
        ( 58, 64)( 59,113)( 62, 67)( 63,117)( 66, 80)( 70, 99)( 71, 95)( 73, 79)( 74,129)( 75,103)( 78,106)( 81, 87)
        ( 82,137)( 83,118)( 85, 90)( 86,141)( 89, 94)( 92, 98)( 93,142)( 96,121)( 97,145)(101,105)(102,122)(104,125)
        (107,112)(108,153)(109,130)(111,116)(114,120)(115,154)(119,133)(123,128)(124,146)(126,132)(127,158)(131,149)
        (134,140)(135,151)(136,155)(138,144)(139,160)(143,148)(147,157)(150,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,110)
        ( 58, 63)( 59,118)( 60, 81)( 62, 67)( 65, 71)( 66,119)( 69, 84)( 70,122)( 74, 99)( 75, 96)( 77, 83)( 78,138)
        ( 79,111)( 82,114)( 85, 91)( 86,145)( 87,126)( 89, 94)( 90,133)( 93, 98)( 97,130)(100,106)(101,149)(102,131)
        (104,109)(105,137)(108,113)(112,134)(115,121)(116,157)(117,139)(120,125)(123,129)(124,158)(127,142)(128,159)
        (132,146)(135,141)(136,150)(140,153)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 48)( 43, 91)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 72)( 55,103)( 58, 63)
        ( 59,111)( 60, 77)( 62, 67)( 65, 71)( 66,112)( 69, 80)( 70,115)( 73, 79)( 74,127)( 75,104)( 78,107)( 81, 87)
        ( 82,134)( 83,119)( 85, 90)( 86,138)( 89, 94)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)(105,123)
        (108,114)(109,153)(110,128)(113,118)(116,122)(117,154)(120,131)(121,155)(124,130)(125,157)(126,147)(129,149)
        (132,137)(133,151)(135,141)(136,159)(140,145)(143,148)(144,160)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 48)( 43, 91)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 72)( 55,103)( 58, 64)
        ( 59,111)( 60, 77)( 62, 67)( 63,115)( 66, 71)( 69, 80)( 70,116)( 73, 79)( 74,127)( 75,104)( 78,107)( 81, 87)
        ( 82,134)( 83,119)( 85, 90)( 86,138)( 89, 94)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)(105,123)
        (108,114)(109,153)(110,128)(112,118)(113,154)(117,122)(120,131)(121,155)(124,130)(125,157)(126,147)(129,149)
        (132,137)(133,151)(135,141)(136,159)(140,145)(143,148)(144,160)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 50)( 31, 53)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 69)( 43, 91)( 46, 52)( 47,102)( 48, 70)( 51, 73)( 54, 60)( 55,110)( 56, 78)
        ( 58, 64)( 59,113)( 62, 68)( 63,117)( 66, 81)( 67,121)( 71, 99)( 72, 95)( 74, 80)( 75,137)( 76,103)( 79,106)
        ( 82, 87)( 83,125)( 85, 90)( 86,142)( 89, 94)( 92, 98)( 93,143)( 96,129)( 97,145)(100,105)(101,130)(104,133)
        (107,112)(108,153)(109,138)(111,116)(114,120)(115,154)(118,124)(119,155)(122,128)(123,151)(126,141)(127,157)
        (131,136)(132,146)(134,140)(135,159)(139,149)(144,148)(147,158)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 50)( 31, 53)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 69)( 43, 91)( 46, 52)( 47,103)( 48, 70)( 51, 73)( 54, 60)( 55,111)( 56, 78)
        ( 58, 64)( 59,115)( 62, 68)( 63,118)( 66, 81)( 67,122)( 71, 99)( 72, 95)( 74, 80)( 75,134)( 76,104)( 79,107)
        ( 82, 87)( 83,126)( 85, 90)( 86,139)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,142)(100,106)(101,146)(105,130)
        (108,114)(109,153)(110,135)(112,117)(113,154)(116,121)(119,125)(120,155)(123,129)(124,151)(127,138)(128,157)
        (131,137)(132,159)(133,147)(136,149)(141,145)(143,148)(144,158)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 76)( 28, 52)( 30, 35)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 55)( 51, 69)( 53, 72)( 54,105)( 57, 63)
        ( 58,115)( 59, 80)( 61, 67)( 62,119)( 66, 84)( 70,104)( 71,100)( 73, 79)( 74,130)( 75,108)( 78, 83)( 81,111)
        ( 82,131)( 85, 91)( 86,138)( 87,120)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,103)( 98,149)(101,122)(102,153)
        (106,110)(107,123)(109,126)(112,118)(113,143)(114,134)(116,121)(117,140)(124,129)(125,154)(127,133)(128,158)
        (132,137)(135,147)(136,159)(139,144)(142,148)(146,152)(150,156)(151,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 48)( 24, 44)( 26, 31)( 27, 76)( 28, 52)( 30, 35)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 88)( 39, 64)( 41, 47)( 42, 91)( 45, 68)( 46, 95)( 50, 55)( 51, 69)( 53, 72)( 54,104)( 57, 63)
        ( 58,114)( 59, 80)( 62, 67)( 65, 84)( 66,115)( 70,103)( 71, 99)( 73, 79)( 74,130)( 75,107)( 78, 83)( 81,110)
        ( 82,131)( 85, 90)( 86,142)( 87,118)( 89, 94)( 92, 98)( 93,143)( 96,102)( 97,146)(100,122)(101,150)(105,109)
        (106,123)(108,126)(111,117)(112,120)(113,134)(116,121)(119,138)(124,129)(125,151)(127,133)(128,155)(132,137)
        (135,141)(136,156)(139,145)(140,158)(144,149)(147,153)(148,159)(152,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 73)( 34, 40)( 35, 84)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 48)( 43, 92)( 46, 52)( 47, 96)( 50, 56)( 51,100)( 54, 72)( 55,104)( 58, 64)
        ( 59,112)( 60, 76)( 62, 68)( 63,116)( 66, 71)( 67,119)( 70, 80)( 74, 79)( 75,105)( 77,108)( 78,124)( 81, 87)
        ( 82,135)( 83,120)( 85, 91)( 86,139)( 89, 95)( 90,140)( 93, 99)( 94,143)( 97,103)( 98,147)(101,107)(102,151)
        (106,123)(109,115)(110,158)(111,127)(113,118)(114,134)(117,122)(121,131)(125,130)(126,152)(128,154)(129,149)
        (132,138)(133,159)(136,142)(137,156)(141,146)(144,150)(145,157)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 49)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 90)( 39, 61)( 41, 47)( 42, 94)( 45, 64)( 46, 98)( 50, 55)( 51, 65)( 53, 68)( 54,107)( 57, 63)
        ( 58,117)( 59, 83)( 62, 86)( 66,106)( 67,102)( 69, 74)( 70,129)( 71,110)( 73, 78)( 76, 82)( 77,130)( 80, 85)
        ( 81,133)( 84,113)( 87, 93)( 88,138)( 89,118)( 91, 97)( 92,141)( 95,101)( 96,142)( 99,105)(100,145)(103,121)
        (104,149)(108,112)(109,122)(111,125)(114,120)(115,157)(116,134)(119,137)(123,128)(124,150)(126,132)(127,156)
        (131,136)(135,153)(139,144)(140,158)(143,148)(146,152)(147,159)(151,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 71)( 27, 52)( 29, 34)( 32, 55)( 33, 72)( 36, 42)
        ( 37, 83)( 38, 60)( 40, 46)( 41, 87)( 44, 63)( 45, 91)( 48, 54)( 49,102)( 50, 64)( 53, 67)( 56, 62)( 57,110)
        ( 58, 75)( 61, 79)( 65, 99)( 66, 95)( 68, 74)( 69,122)( 70,103)( 73, 78)( 76,106)( 77,123)( 80, 86)( 81,133)
        ( 82,111)( 84, 90)( 85,134)( 88, 94)( 89,137)( 92, 98)( 93,141)( 96,114)( 97,145)(100,105)(101,115)(104,118)
        (107,113)(108,153)(109,126)(112,130)(116,121)(117,146)(119,125)(120,158)(124,129)(127,149)(128,159)(131,136)
        (132,154)(135,140)(138,144)(139,155)(142,148)(143,151)(147,157)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 45)( 24, 41)( 27, 32)( 28, 49)( 30, 53)( 31, 74)( 34, 40)( 35, 82)
        ( 36, 65)( 38, 44)( 39, 85)( 42, 69)( 43, 89)( 47, 52)( 48, 70)( 50, 73)( 51, 98)( 54, 60)( 55,108)( 56, 77)
        ( 58, 64)( 59,112)( 62, 68)( 63,115)( 66, 81)( 67,119)( 71, 97)( 72, 93)( 75, 80)( 76,101)( 78,104)( 79,132)
        ( 83, 88)( 84,123)( 86, 92)( 87,140)( 90, 96)( 91,142)( 94,127)( 95,146)( 99,103)(100,128)(102,131)(105,111)
        (106,154)(107,135)(109,114)(110,158)(113,118)(116,122)(117,159)(120,126)(121,156)(124,139)(125,152)(129,134)
        (130,147)(133,138)(136,150)(137,148)(141,145)(143,149)(144,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 45)( 24, 41)( 27, 32)( 28, 50)( 30, 53)( 31, 74)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 89)( 42, 69)( 43, 93)( 46, 52)( 47,104)( 48, 70)( 51, 73)( 54, 60)( 55,112)( 56, 77)
        ( 58, 64)( 59,116)( 62, 68)( 63,119)( 66, 81)( 67,122)( 71,101)( 72, 97)( 75, 80)( 76,105)( 78,108)( 79,135)
        ( 82, 88)( 83,146)( 84,126)( 86, 92)( 87,147)( 90, 96)( 91,150)( 94,100)( 95,153)( 98,130)( 99,157)(102,107)
        (103,131)(106,134)(109,115)(110,128)(111,138)(113,118)(114,124)(117,121)(120,125)(123,129)(127,142)(132,137)
        (133,158)(136,141)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)(119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43, 97)( 46, 72)( 47,100)( 50, 56)( 51,111)( 52, 73)( 55, 76)
        ( 58, 64)( 59,119)( 60, 88)( 62, 67)( 63,123)( 66, 71)( 69, 92)( 70,124)( 74,108)( 75,104)( 77, 83)( 78,138)
        ( 79,112)( 81, 87)( 82,142)( 86, 91)( 89,115)( 90,143)( 93, 99)( 94,149)( 95,127)( 98,103)(101,107)(102,150)
        (105,130)(106,153)(109,114)(110,131)(113,134)(116,122)(117,157)(118,140)(120,126)(121,148)(125,129)(128,145)
        (132,137)(133,154)(135,141)(136,160)(139,144)(146,152)(147,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39, 78)( 40, 71)( 42, 46)( 45, 75)( 48, 54)( 49,103)( 50, 76)( 52, 58)( 53,107)( 56, 79)
        ( 57,111)( 60, 66)( 61,123)( 62, 95)( 64, 70)( 65,127)( 68, 74)( 69,128)( 72, 99)( 73,129)( 77,100)( 80, 86)
        ( 81,135)( 82,115)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92, 98)( 93,145)( 96,119)( 97,149)(101,106)(102,125)
        (104,110)(105,121)(108,114)(109,154)(112,118)(113,157)(116,131)(117,158)(120,126)(122,153)(124,130)(132,138)
        (133,151)(134,159)(136,141)(137,147)(140,144)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 39, 43)( 40, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,120)( 59, 92)( 61, 67)( 62,124)( 65, 71)( 66,125)( 69, 75)( 70,128)( 74, 96)( 77, 83)( 78,135)( 79,112)
        ( 81, 87)( 82,139)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93,116)( 94,149)( 97,103)( 98,122)( 99,129)(101,107)
        (102,118)(105,111)(106,154)(109,115)(110,157)(113,131)(114,158)(117,123)(119,153)(121,127)(126,130)(132,138)
        (133,151)(134,159)(136,141)(137,147)(140,144)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 47)( 23, 43)( 25, 31)( 26, 71)( 27, 48)( 29, 35)( 30, 75)( 33, 51)( 34, 79)
        ( 37, 42)( 38, 60)( 40, 46)( 41, 88)( 44, 63)( 45, 91)( 49, 67)( 50, 64)( 52, 58)( 53,107)( 54, 83)( 56, 62)
        ( 57,111)( 61, 87)( 65, 99)( 66, 95)( 68, 74)( 69,123)( 70,100)( 72, 78)( 73,127)( 76, 82)( 77,130)( 80, 86)
        ( 81,133)( 84,103)( 85,137)( 89, 94)( 90,112)( 92, 98)( 93,146)( 96,115)( 97,149)(101,119)(102,116)(104,110)
        (105,151)(106,141)(108,114)(109,148)(113,145)(117,157)(118,153)(120,126)(121,139)(122,158)(124,129)(125,135)
        (128,132)(131,136)(134,140)(138,144)(142,155)(143,159)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 66)( 26, 51)( 28, 34)( 29, 70)( 32, 55)( 33, 74)( 36, 42)
        ( 37, 81)( 38, 60)( 40, 46)( 41, 85)( 44, 50)( 45, 89)( 48, 54)( 49, 93)( 52, 62)( 53, 97)( 56, 61)( 57, 84)
        ( 58, 78)( 63, 69)( 64,113)( 65,101)( 67, 73)( 68,114)( 71, 77)( 72,117)( 75, 80)( 76,121)( 79,105)( 82, 88)
        ( 83,106)( 86, 92)( 87,125)( 90, 96)( 91,129)( 94,100)( 95,133)( 98,104)( 99,137)(102,109)(103,141)(107,128)
        (108,122)(110,116)(111,153)(112,142)(115,120)(118,124)(119,154)(123,145)(126,132)(127,146)(130,136)(131,157)
        (134,140)(135,158)(138,144)(139,152)(143,149)(147,160)(148,155)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 43)( 25, 31)( 26, 75)( 27, 51)( 29, 35)( 30, 79)( 33, 55)( 34, 82)
        ( 37, 42)( 38, 94)( 39, 67)( 41, 46)( 44, 50)( 45, 95)( 48, 54)( 49, 98)( 52, 71)( 53,102)( 56, 62)( 57,114)
        ( 58, 86)( 60, 66)( 61,118)( 64, 70)( 65,122)( 68, 90)( 69,123)( 72, 78)( 73,134)( 74,106)( 76, 81)( 77,138)
        ( 80, 85)( 83, 89)( 84,139)( 87,110)( 88,136)( 91, 97)( 92,145)( 93,126)( 96,101)( 99,105)(100,146)(103,109)
        (104,149)(107,130)(108,153)(111,117)(112,157)(113,132)(115,121)(116,144)(119,125)(120,128)(124,129)(127,141)
        (131,137)(133,154)(135,140)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 20)(  7, 38)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 54)
        ( 15, 31)( 17, 35)( 18, 58)( 22, 46)( 23, 42)( 25, 30)( 26, 47)( 28, 34)( 29, 70)( 32, 50)( 33, 73)( 36, 41)
        ( 37, 62)( 39, 45)( 40, 82)( 43, 65)( 44, 85)( 48, 69)( 49, 66)( 51, 57)( 52,101)( 53, 77)( 55, 61)( 56,105)
        ( 59, 64)( 60,109)( 63, 81)( 67, 93)( 68, 89)( 71, 76)( 72, 94)( 74, 80)( 75,118)( 78, 97)( 79,121)( 83, 88)
        ( 84,110)( 86, 92)( 87,130)( 90,113)( 91,133)( 95,117)( 96,114)( 98,104)( 99,146)(100,125)(102,108)(103,147)
        (106,112)(107,149)(111,129)(115,141)(116,137)(119,124)(120,142)(122,128)(123,154)(126,145)(127,157)(131,136)
        (132,150)(134,140)(135,159)(138,144)(139,156)(143,153)(148,152)(151,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 23)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 24)( 17, 27)( 18, 55)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 70)( 30, 59)( 32, 38)( 33, 74)( 36, 42)
        ( 37, 77)( 40, 46)( 41, 81)( 44, 62)( 45, 85)( 48, 54)( 49, 97)( 50, 63)( 52, 58)( 53,101)( 56, 61)( 57,105)
        ( 60, 66)( 64, 93)( 65, 89)( 67, 73)( 68,117)( 69,106)( 71, 76)( 72,121)( 75, 80)( 78, 84)( 79,122)( 82, 88)
        ( 83,125)( 86, 92)( 87,129)( 90,109)( 91,133)( 94,100)( 95,141)( 96,110)( 98,104)( 99,142)(102,108)(103,145)
        (107,113)(111,137)(112,134)(114,120)(115,154)(116,146)(118,124)(119,157)(123,128)(126,132)(127,158)(130,136)
        (131,152)(135,149)(138,144)(139,156)(140,150)(143,148)(147,153)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51, 77)( 53, 59)( 54,113)
        ( 57, 80)( 58,115)( 61, 67)( 62,126)( 63, 92)( 65, 71)( 66,127)( 69, 75)( 70,130)( 73, 96)( 74,131)( 78,112)
        ( 79,108)( 81, 87)( 82,142)( 83,119)( 86, 91)( 89, 95)( 90,143)( 93,122)( 94,146)( 98,103)( 99,134)(101,107)
        (102,154)(105,111)(106,157)(109,117)(110,141)(114,118)(116,121)(120,138)(123,129)(124,136)(125,150)(128,133)
        (132,137)(135,153)(139,145)(140,158)(144,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51, 77)( 53, 59)( 54,113)
        ( 57, 80)( 58,115)( 61, 67)( 62,126)( 63, 93)( 65, 71)( 66,127)( 69, 75)( 70,130)( 73, 96)( 74,131)( 78,112)
        ( 79,108)( 81, 87)( 82,142)( 83,119)( 85, 91)( 86,145)( 89, 95)( 90,149)( 94,122)( 98,103)( 99,134)(101,107)
        (102,154)(105,111)(106,157)(109,117)(110,141)(114,118)(116,121)(120,138)(123,129)(124,136)(125,150)(128,133)
        (132,137)(135,153)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 55)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,118)( 61, 67)( 62,129)( 63, 92)( 65, 71)( 66,133)( 69, 75)( 70,134)( 73, 96)( 74,137)( 78,115)
        ( 79,111)( 82, 87)( 83,122)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93,125)( 94,153)( 97,102)( 98,141)(100,106)
        (101,159)(104,110)(105,155)(108,114)(109,151)(112,120)(113,148)(117,121)(119,124)(123,145)(126,132)(127,143)
        (128,157)(130,136)(131,139)(135,140)(138,144)(142,158)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 71)( 41, 47)( 42, 95)( 45, 75)( 46, 99)( 49, 54)( 50,110)( 51, 76)( 53, 58)( 56, 79)
        ( 57,111)( 60, 66)( 61,121)( 62, 87)( 64, 70)( 65,125)( 68, 74)( 69,126)( 72, 91)( 73,129)( 77,106)( 78,103)
        ( 81, 86)( 82,114)( 84, 90)( 85,142)( 88,117)( 89,145)( 93, 98)( 94,133)( 96,102)( 97,154)(100,105)(101,157)
        (104,137)(107,113)(108,144)(109,138)(112,116)(115,141)(118,124)(119,135)(120,149)(122,128)(123,131)(127,132)
        (130,136)(134,153)(139,147)(140,158)(143,148)(146,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,114)( 51, 76)( 53, 58)( 54,117)
        ( 57, 79)( 60, 66)( 61,125)( 62, 87)( 64, 70)( 65,129)( 68, 74)( 69,130)( 72, 91)( 73,131)( 77,110)( 78,107)
        ( 81, 86)( 82,118)( 84, 90)( 85,138)( 88,121)( 89,141)( 92, 98)( 93,149)( 94,127)( 96,102)( 97,150)(100,106)
        (101,153)(104,109)(105,157)(108,133)(111,116)(112,140)(113,134)(115,120)(119,137)(122,128)(123,152)(124,145)
        (126,132)(135,143)(136,158)(139,144)(142,148)(146,155)(147,159)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,106)( 48, 73)( 50, 55)( 51,109)( 54, 76)( 57, 63)
        ( 58,117)( 59, 81)( 61, 67)( 62,121)( 65, 71)( 66,122)( 69, 84)( 70,125)( 74,102)( 75, 99)( 77, 83)( 78,141)
        ( 79,110)( 82,113)( 85, 91)( 86,149)( 87,129)( 89, 95)( 90,153)( 93, 98)( 94,136)( 97,101)(100,133)(103,108)
        (104,140)(105,134)(107,112)(111,137)(114,120)(115,147)(116,142)(118,124)(119,157)(123,128)(126,132)(127,158)
        (130,145)(131,159)(135,154)(138,144)(139,155)(143,151)(146,152)(148,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43, 97)( 46, 72)( 47,100)( 50, 56)( 51,111)( 52, 73)( 54, 59)
        ( 55,114)( 58, 76)( 61, 67)( 62,122)( 63, 88)( 66, 71)( 69, 92)( 70,123)( 74,107)( 75,104)( 77, 83)( 78,137)
        ( 79,115)( 81, 87)( 82,141)( 86, 91)( 89,118)( 90,142)( 93, 99)( 94,153)( 95,126)( 98,103)(101,106)(102,154)
        (105,129)(108,113)(109,136)(110,130)(112,117)(116,133)(119,125)(120,152)(121,145)(124,128)(127,149)(131,157)
        (132,155)(134,140)(135,158)(138,144)(139,147)(143,148)(146,159)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 25, 31)( 26, 68)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 76)
        ( 37, 43)( 38, 80)( 39, 62)( 41, 47)( 42, 84)( 45, 51)( 46, 88)( 49, 55)( 50, 92)( 53, 64)( 54, 96)( 57, 63)
        ( 58, 83)( 59, 77)( 65, 71)( 66,112)( 67,100)( 69, 75)( 70,115)( 73, 79)( 74,119)( 78,104)( 81, 87)( 82,105)
        ( 85, 91)( 86,123)( 89, 95)( 90,127)( 93, 99)( 94,131)( 97,103)( 98,135)(101,108)(102,139)(106,126)(107,120)
        (109,114)(110,153)(111,142)(113,118)(116,122)(117,154)(121,145)(124,130)(125,146)(128,134)(129,157)(132,138)
        (133,158)(136,141)(137,152)(140,144)(143,149)(147,160)(148,155)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 28)( 18, 32)( 19, 60)( 23, 40)( 26, 31)( 27, 48)( 29, 52)( 30, 69)( 33, 39)( 34, 79)( 35, 64)
        ( 37, 43)( 38, 80)( 41, 47)( 42, 83)( 45, 51)( 46, 87)( 49, 68)( 50, 91)( 53, 59)( 54,103)( 55, 72)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 76)( 66,115)( 70, 75)( 71, 95)( 73, 99)( 74,124)( 77, 82)( 78,119)( 81, 86)
        ( 84, 90)( 85,120)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,123)( 97,139)(100,106)(101,149)(102,127)(104,110)
        (105,150)(108,114)(109,151)(112,118)(113,147)(116,122)(117,153)(121,134)(125,130)(126,142)(128,145)(129,158)
        (132,138)(133,154)(136,141)(137,160)(140,144)(143,157)(146,152)(148,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 38)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 63)( 26, 51)( 28, 34)( 29, 67)( 32, 55)( 33, 71)( 36, 42)
        ( 37, 56)( 40, 46)( 41, 75)( 44, 50)( 45, 79)( 48, 54)( 49, 83)( 52, 59)( 53, 87)( 57, 78)( 58, 72)( 60, 66)
        ( 61,103)( 62, 91)( 64, 70)( 65,107)( 68, 74)( 69,111)( 73, 95)( 76, 82)( 77, 96)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 94)( 89,123)( 92, 99)( 93,127)( 97,118)( 98,112)(100,106)(101,141)(102,130)(104,110)(105,145)
        (108,114)(109,149)(113,133)(116,122)(117,134)(120,126)(121,153)(124,129)(125,140)(128,132)(131,137)(135,156)
        (136,150)(138,144)(139,154)(142,148)(143,159)(146,152)(147,160)(151,157)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,121)( 58, 80)( 59,123)( 62, 68)( 63,134)( 64, 95)( 66, 71)( 67,138)( 70, 75)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,127)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,130)( 97,157)(100,106)
        (101,132)(102,142)(104,110)(105,159)(108,114)(109,155)(112,118)(113,151)(116,125)(117,148)(122,126)(124,129)
        (128,145)(131,137)(133,158)(135,141)(136,143)(140,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,134)( 64, 95)( 66, 71)( 67,138)( 70, 75)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,127)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,130)( 97,157)(100,106)
        (101,132)(102,142)(104,110)(105,159)(108,114)(109,155)(112,118)(113,151)(116,124)(117,148)(121,125)(123,129)
        (128,145)(131,137)(133,158)(135,141)(136,143)(140,144)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51,120)( 52, 77)( 54, 59)
        ( 57, 80)( 58,121)( 61, 67)( 62,132)( 63, 93)( 65, 71)( 66,136)( 69, 75)( 70,139)( 73, 96)( 74,140)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,124)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,128)( 97,103)( 98,130)( 99,143)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,119)(114,148)(117,123)(118,126)(122,127)(125,146)
        (129,135)(131,158)(133,138)(134,144)(137,142)(141,145)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,115)( 51, 76)( 53, 58)( 56, 79)
        ( 57,116)( 60, 66)( 61,127)( 62, 87)( 64, 70)( 65,131)( 68, 74)( 69,134)( 72, 91)( 73,137)( 77,111)( 78,107)
        ( 81, 86)( 82,119)( 84, 90)( 85,146)( 88,123)( 89,149)( 92, 98)( 93,158)( 94,141)( 96,102)( 97,159)(100,106)
        (101,155)(104,110)(105,151)(108,114)(109,148)(112,118)(113,121)(117,122)(120,145)(124,130)(125,143)(126,153)
        (128,133)(129,139)(132,136)(135,140)(138,144)(142,157)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 77)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 93)( 43, 69)( 45, 51)( 46, 94)( 49, 72)( 50, 96)( 53, 59)( 54,107)( 55, 73)
        ( 57, 63)( 58,111)( 61, 67)( 62,115)( 65, 76)( 66,119)( 70, 92)( 71, 88)( 74,103)( 75,100)( 78, 83)( 79,123)
        ( 81, 87)( 82,132)( 85, 91)( 86,135)( 89, 98)( 90,130)( 95, 99)( 97,102)(101,127)(104,110)(105,139)(106,128)
        (108,114)(109,143)(112,118)(113,144)(116,122)(117,147)(120,126)(121,151)(124,131)(125,154)(129,136)(133,138)
        (134,157)(137,142)(140,146)(141,158)(145,150)(148,153)(149,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,115)( 51, 76)( 53, 58)( 56, 79)
        ( 57,116)( 60, 66)( 61,127)( 62, 87)( 64, 70)( 65,131)( 68, 74)( 69,132)( 72, 91)( 73,135)( 77,111)( 78,107)
        ( 81, 86)( 82,119)( 84, 90)( 85,140)( 88,123)( 89,143)( 92, 98)( 93,154)( 94,136)( 96,102)( 97,158)(100,106)
        (101,149)(104,110)(105,145)(108,114)(109,142)(112,118)(113,121)(117,122)(120,139)(124,130)(125,156)(126,147)
        (128,134)(129,153)(133,138)(137,151)(141,146)(144,150)(148,159)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,115)( 51, 76)( 53, 58)( 56, 79)
        ( 57,116)( 60, 66)( 61,127)( 62, 87)( 64, 70)( 65,131)( 68, 74)( 69,132)( 72, 91)( 73,135)( 77,111)( 78,107)
        ( 81, 86)( 82,119)( 84, 90)( 85,143)( 88,123)( 89,146)( 92, 98)( 93,155)( 94,138)( 96,102)( 97,158)(100,106)
        (101,152)(104,110)(105,148)(108,114)(109,145)(112,118)(113,121)(117,122)(120,142)(124,130)(125,157)(126,150)
        (128,134)(129,140)(133,137)(136,141)(139,154)(144,149)(147,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 76)( 59,120)( 63, 68)( 64, 92)( 66, 72)( 67,128)( 70, 96)( 71,131)( 75,111)( 77, 83)( 78,142)
        ( 79,123)( 81, 87)( 82,146)( 85, 91)( 86,150)( 89, 95)( 90,154)( 93,127)( 94,158)( 97,103)( 98,148)( 99,135)
        (101,107)(102,144)(105,110)(106,140)(109,114)(112,118)(113,141)(116,122)(117,125)(121,126)(124,138)(129,134)
        (130,159)(132,137)(133,156)(136,152)(139,145)(143,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 55)( 51,119)( 52, 73)( 54, 59)
        ( 57, 76)( 58,120)( 62, 67)( 63, 92)( 65, 71)( 66,128)( 69, 96)( 70,130)( 74,115)( 75,111)( 77, 83)( 78,142)
        ( 79,123)( 81, 87)( 82,146)( 85, 91)( 86,150)( 89, 95)( 90,154)( 93,127)( 94,158)( 97,103)( 98,148)( 99,134)
        (101,107)(102,144)(105,110)(106,140)(109,114)(112,118)(113,141)(116,122)(117,125)(121,126)(124,138)(129,133)
        (131,137)(132,159)(135,152)(136,156)(139,145)(143,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 55)( 51,120)( 52, 73)( 54, 59)
        ( 57, 76)( 58,121)( 62, 67)( 63, 92)( 65, 71)( 66,129)( 69, 96)( 70,131)( 74,116)( 75,112)( 77, 83)( 78,142)
        ( 79,124)( 81, 87)( 82,146)( 85, 91)( 86,150)( 89, 95)( 90,154)( 93,128)( 94,158)( 97,103)( 98,152)( 99,135)
        (101,107)(102,148)(105,111)(106,144)(109,115)(110,140)(113,119)(114,141)(117,123)(118,126)(122,127)(125,138)
        (130,134)(132,137)(133,159)(136,156)(139,145)(143,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39,103)( 40, 71)( 42, 47)( 45, 75)( 46,104)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 66)( 62,130)( 63, 95)( 65, 70)( 68, 74)( 69,131)( 72, 99)( 73,132)( 77,107)( 78,105)
        ( 80, 86)( 81,138)( 82,122)( 84, 90)( 85,142)( 88, 94)( 89,146)( 92, 98)( 93,149)( 96,126)( 97,153)(100,106)
        (101,110)(102,128)(108,114)(109,158)(112,118)(113,137)(116,121)(117,124)(120,125)(123,134)(127,133)(129,157)
        (135,141)(136,159)(139,145)(140,155)(143,148)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 68)( 42, 72)( 43, 97)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 63)( 59,123)( 60, 92)( 62, 67)( 65, 71)( 66,124)( 69, 96)( 70,127)( 74,100)( 75, 98)( 77, 83)( 78,138)
        ( 79,115)( 81, 87)( 82,142)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93,119)( 94,153)( 99,130)(101,107)(102,158)
        (103,131)(105,111)(106,137)(109,114)(110,117)(113,118)(116,134)(120,126)(121,132)(122,157)(125,129)(128,133)
        (135,141)(136,159)(139,145)(140,155)(143,148)(144,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,100)( 46, 72)( 47,103)( 50, 56)( 51,112)( 52, 73)( 54, 59)
        ( 55,115)( 58, 76)( 61, 67)( 62,123)( 63, 91)( 66, 71)( 69, 95)( 70,124)( 74,111)( 75,107)( 77, 83)( 78,134)
        ( 79,116)( 81, 87)( 82,137)( 85, 90)( 86,141)( 89, 94)( 92,119)( 93,142)( 96,102)( 97,149)( 98,121)(101,106)
        (104,110)(105,150)(108,126)(109,153)(113,118)(114,127)(117,130)(120,125)(122,145)(128,133)(129,154)(131,136)
        (132,158)(135,140)(138,144)(139,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39,104)( 40, 72)( 42, 47)( 45, 76)( 46,105)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,131)( 63, 96)( 65, 71)( 66,135)( 69, 75)( 70,136)( 73,100)( 74,133)( 78,108)
        ( 79,106)( 81, 87)( 82,142)( 83,123)( 85, 91)( 86,146)( 89, 95)( 90,147)( 93, 99)( 94,150)( 97,127)( 98,153)
        (101,107)(102,111)(103,129)(109,115)(110,158)(113,119)(114,141)(117,122)(118,125)(121,126)(124,138)(128,134)
        (130,157)(132,137)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 38, 43)( 39, 65)( 41, 47)( 42, 93)( 45, 68)( 46, 96)( 50, 55)( 51, 69)( 53, 72)( 54,105)( 57, 63)
        ( 58,116)( 59, 88)( 61, 67)( 62,119)( 66, 92)( 70,104)( 71,100)( 73, 79)( 74,130)( 75,108)( 77, 83)( 78,134)
        ( 81, 87)( 82,137)( 85, 91)( 86,138)( 89,112)( 90,141)( 94, 99)( 95,120)( 97,103)( 98,150)(101,123)(102,153)
        (106,111)(107,124)(109,126)(110,158)(113,118)(114,152)(115,145)(117,122)(121,149)(125,157)(127,133)(128,147)
        (129,159)(131,136)(132,143)(135,140)(139,144)(142,148)(146,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,107)( 50, 56)( 51,118)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,122)( 62, 68)( 63, 99)( 64, 92)( 67, 71)( 70, 96)( 74,114)( 75,111)( 77, 83)( 78,138)
        ( 79,123)( 81, 87)( 82,142)( 85, 91)( 86,143)( 89, 95)( 90,146)( 93,126)( 94,149)( 97,103)( 98,127)(101,106)
        (102,157)(105,110)(108,113)(109,158)(112,130)(115,121)(116,137)(117,131)(120,125)(124,134)(128,160)(129,153)
        (132,154)(133,159)(135,141)(136,155)(139,145)(140,151)(144,148)(147,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,107)( 50, 56)( 51,118)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,122)( 62, 67)( 63, 99)( 64, 92)( 66, 71)( 70, 96)( 74,114)( 75,111)( 77, 83)( 78,138)
        ( 79,123)( 81, 87)( 82,142)( 85, 91)( 86,145)( 89, 95)( 90,146)( 93,126)( 94,149)( 97,103)( 98,127)(101,106)
        (102,157)(105,110)(108,113)(109,158)(112,130)(115,121)(116,137)(117,131)(120,125)(124,134)(128,160)(129,153)
        (132,154)(133,159)(135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 71)( 47,106)( 50, 55)( 51, 72)( 53, 59)( 54,115)
        ( 57, 75)( 58,118)( 61, 67)( 62, 98)( 63, 91)( 66, 70)( 69, 95)( 73,114)( 74,110)( 76, 82)( 77,134)( 78,119)
        ( 80, 86)( 81,138)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92,122)( 93,145)( 96,102)( 97,123)(100,105)(101,153)
        (104,109)(107,113)(108,154)(111,126)(112,157)(116,121)(117,127)(120,130)(124,156)(125,149)(128,133)(129,158)
        (131,137)(132,151)(135,141)(136,147)(140,144)(143,148)(146,152)(150,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 71)( 47,106)( 50, 55)( 51, 72)( 53, 59)( 54,115)
        ( 57, 75)( 58,118)( 61, 66)( 62, 98)( 63, 91)( 65, 70)( 69, 95)( 73,114)( 74,110)( 76, 82)( 77,134)( 78,119)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 88, 94)( 89,142)( 92,122)( 93,145)( 96,102)( 97,123)(100,105)(101,153)
        (104,109)(107,113)(108,154)(111,126)(112,157)(116,121)(117,127)(120,130)(124,156)(125,149)(128,133)(129,158)
        (131,137)(132,151)(135,140)(136,147)(139,144)(143,148)(146,152)(150,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 48)( 43, 91)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 73)( 55,103)( 58, 64)
        ( 59,114)( 60, 78)( 62, 68)( 63,115)( 66, 72)( 67,118)( 70, 81)( 71,122)( 74, 80)( 75,134)( 76,106)( 79,110)
        ( 82, 87)( 83,126)( 85, 90)( 86,139)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,142)(100,105)(101,146)(104,109)
        (107,130)(108,147)(111,117)(112,154)(113,135)(116,121)(119,125)(120,155)(123,129)(124,152)(127,138)(128,157)
        (131,137)(132,159)(133,148)(136,150)(141,145)(143,149)(144,158)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 48)( 43, 91)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 72)( 55,103)( 58, 63)
        ( 59,114)( 60, 77)( 62, 67)( 65, 71)( 66,115)( 69, 80)( 70,118)( 73, 79)( 74,130)( 75,107)( 78,110)( 81, 87)
        ( 82,135)( 83,122)( 85, 90)( 86,138)( 89, 94)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)(104,109)
        (105,147)(108,126)(111,117)(112,154)(113,131)(116,121)(119,125)(120,155)(123,134)(124,152)(127,133)(128,159)
        (129,148)(132,150)(136,141)(137,157)(140,145)(143,149)(144,158)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 48)( 43, 91)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 73)( 55,103)( 58, 64)
        ( 59,114)( 60, 78)( 62, 68)( 63,115)( 66, 72)( 67,118)( 70, 81)( 71,122)( 74, 80)( 75,134)( 76,107)( 79,110)
        ( 82, 87)( 83,126)( 85, 90)( 86,139)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,142)(100,106)(101,146)(104,109)
        (105,147)(108,130)(111,117)(112,154)(113,135)(116,121)(119,125)(120,155)(123,129)(124,152)(127,138)(128,157)
        (131,137)(132,159)(133,148)(136,150)(141,145)(143,149)(144,158)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 70)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 56)( 51,111)( 52, 73)( 54, 60)
        ( 55,115)( 58, 76)( 59,119)( 62, 68)( 63,130)( 64, 91)( 66, 71)( 67, 98)( 74,107)( 75,104)( 77, 83)( 78,142)
        ( 79,122)( 81, 86)( 82,146)( 85, 90)( 88, 94)( 89,147)( 92,126)( 93,150)( 96,102)( 97,131)(100,106)(101,158)
        (105,134)(108,114)(109,155)(110,135)(112,118)(113,141)(116,121)(117,124)(120,125)(123,138)(127,133)(128,136)
        (129,154)(132,160)(137,159)(139,145)(140,156)(143,149)(144,152)(148,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 76)( 28, 56)( 30, 35)( 33, 60)( 34, 77)
        ( 37, 43)( 38, 87)( 39, 69)( 41, 47)( 42, 91)( 45, 51)( 46, 95)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 72)
        ( 58,107)( 61, 67)( 62,118)( 63, 80)( 65, 71)( 66,121)( 70, 84)( 73, 79)( 74,129)( 75,110)( 78, 83)( 81,114)
        ( 82,130)( 85, 90)( 86,122)( 88, 94)( 89,138)( 92, 98)( 93,141)( 96,102)( 97,145)(100,106)(101,149)(104,109)
        (105,153)(108,113)(111,125)(112,154)(115,120)(116,140)(117,133)(119,124)(123,137)(126,132)(127,157)(128,155)
        (131,136)(134,143)(135,158)(139,144)(142,148)(146,152)(147,159)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 88)( 39, 71)( 41, 47)( 42, 91)( 45, 51)( 46, 95)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 75)
        ( 58,107)( 61, 67)( 62,118)( 63, 83)( 65, 70)( 66,121)( 69, 74)( 72, 87)( 73,122)( 76, 82)( 77,133)( 78,111)
        ( 81, 86)( 84,114)( 85,134)( 89, 94)( 90,125)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)(104,110)
        (105,153)(108,113)(109,154)(112,129)(115,120)(116,127)(117,137)(119,124)(123,128)(126,141)(130,136)(131,157)
        (132,155)(135,140)(138,144)(139,158)(143,148)(146,152)(147,159)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 68)
        ( 58,111)( 61, 67)( 62, 90)( 63, 83)( 66, 87)( 69, 75)( 70,126)( 71,114)( 73, 78)( 74,130)( 77, 82)( 80, 86)
        ( 81,131)( 84,118)( 85,134)( 88, 94)( 89,119)( 92, 98)( 93,141)( 96,102)( 97,145)(100,106)(101,146)(104,110)
        (105,149)(108,113)(109,153)(112,117)(115,122)(116,154)(120,144)(121,137)(123,129)(124,160)(125,155)(127,133)
        (128,139)(132,136)(135,140)(138,157)(142,148)(143,158)(147,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 68)
        ( 58,111)( 61, 67)( 62, 90)( 63, 83)( 66, 87)( 69, 75)( 70,126)( 71,115)( 73, 78)( 74,130)( 77, 82)( 80, 86)
        ( 81,131)( 84,118)( 85,134)( 88, 94)( 89,119)( 92, 98)( 93,141)( 96,102)( 97,145)(100,106)(101,146)(104,110)
        (105,149)(108,114)(109,153)(112,117)(113,154)(116,122)(120,144)(121,137)(123,129)(124,160)(125,155)(127,133)
        (128,139)(132,136)(135,140)(138,157)(142,148)(143,158)(147,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 83)
        ( 36, 68)( 38, 44)( 39, 87)( 42, 48)( 43, 91)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 72)( 55,103)( 58, 63)
        ( 59,114)( 60, 77)( 62, 67)( 65, 71)( 66,115)( 69, 80)( 70,118)( 73, 79)( 74,130)( 75,107)( 78,110)( 81, 86)
        ( 82,122)( 84, 90)( 85,135)( 88, 94)( 89,138)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)(104,109)
        (105,147)(108,126)(111,117)(112,154)(113,131)(116,121)(119,125)(120,155)(123,134)(124,152)(127,133)(128,159)
        (129,148)(132,150)(136,141)(137,157)(140,145)(143,149)(144,158)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 54)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 98)( 46, 72)( 47,102)( 50, 56)( 51,114)( 52, 73)( 55, 76)
        ( 58, 64)( 59,122)( 60, 91)( 62, 68)( 63,123)( 66, 71)( 67,126)( 70, 94)( 74,110)( 75,106)( 77, 82)( 78,115)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88, 93)( 89,141)( 92,118)( 96,101)( 97,127)( 99,105)(100,146)(103,109)
        (104,149)(107,130)(108,153)(111,117)(112,158)(113,131)(116,133)(119,125)(120,148)(121,142)(124,129)(128,145)
        (132,157)(135,140)(136,159)(138,144)(139,155)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 85)( 71,134)( 75,100)( 76, 97)( 79, 84)
        ( 80,115)( 82,119)( 83,147)( 86, 92)( 87,157)( 88,138)( 90, 95)( 91,145)( 94, 99)( 98,142)(101,107)(102,152)
        (103,143)(105,111)(106,149)(109,114)(110,117)(113,118)(116,146)(120,126)(121,156)(122,150)(124,130)(125,140)
        (128,133)(129,136)(132,137)(135,141)(139,154)(144,158)(148,153)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 50)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 74)( 27, 54)( 29, 34)( 32, 58)( 33, 75)( 36, 42)
        ( 37, 85)( 38, 63)( 40, 46)( 41, 89)( 44, 66)( 45, 93)( 48, 53)( 49, 67)( 51, 57)( 52,102)( 55, 70)( 56,105)
        ( 59, 65)( 60,113)( 61, 78)( 64, 82)( 68,101)( 69, 97)( 71, 77)( 72,125)( 73,106)( 76, 81)( 79,109)( 80,126)
        ( 83, 88)( 84,114)( 86, 92)( 87,134)( 90, 96)( 91,137)( 94,100)( 95,141)( 98,117)( 99,145)(103,108)(104,118)
        (107,121)(110,116)(111,153)(112,129)(115,133)(119,124)(120,146)(122,128)(123,158)(127,132)(130,149)(131,159)
        (135,140)(136,154)(138,144)(139,155)(142,148)(143,151)(147,157)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 99)( 40, 72)( 42, 47)( 45, 51)( 46,100)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 76)
        ( 58,111)( 61, 67)( 62,122)( 63, 91)( 65, 71)( 66,126)( 69, 75)( 70,129)( 73, 95)( 74,130)( 77, 83)( 78,141)
        ( 79,115)( 81, 87)( 82,145)( 85, 90)( 86,146)( 89, 94)( 92,118)( 93,147)( 96,102)( 97,153)( 98,133)(101,106)
        (104,110)(105,154)(108,114)(109,157)(112,117)(113,158)(116,137)(119,125)(120,152)(121,143)(123,128)(124,135)
        (127,132)(131,136)(134,149)(138,144)(139,151)(140,159)(142,148)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 48)( 43, 93)( 46, 52)( 47, 96)( 50, 56)( 51,100)( 54, 73)( 55,104)( 58, 64)
        ( 59,115)( 60, 88)( 62, 68)( 63,119)( 66, 72)( 67,122)( 70, 92)( 71,126)( 74, 80)( 75,137)( 76,108)( 78, 84)
        ( 79,141)( 82, 87)( 83,142)( 86, 91)( 89,111)( 90,143)( 94, 99)( 95,129)( 97,103)( 98,146)(101,107)(102,149)
        (105,110)(106,150)(109,133)(112,118)(113,153)(114,139)(116,121)(117,157)(120,125)(123,128)(124,158)(127,132)
        (130,145)(131,159)(134,140)(135,156)(136,151)(138,144)(147,152)(148,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 73)( 34, 40)( 35, 84)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 48)( 43, 92)( 46, 52)( 47, 96)( 50, 56)( 51,100)( 54, 72)( 55,104)( 58, 64)
        ( 59,115)( 60, 76)( 62, 67)( 63,119)( 66, 71)( 69, 80)( 70,120)( 74, 79)( 75,107)( 77,111)( 78,124)( 81, 87)
        ( 82,131)( 83,121)( 85, 91)( 86,135)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,103)( 98,146)(101,106)(102,150)
        (105,110)(108,123)(109,151)(112,118)(113,158)(114,127)(116,122)(117,134)(125,130)(126,152)(128,154)(129,148)
        (132,138)(133,159)(136,141)(137,156)(140,145)(143,149)(144,157)(147,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 73)( 34, 40)( 35, 84)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 48)( 43, 92)( 46, 52)( 47, 96)( 50, 56)( 51,100)( 54, 72)( 55,104)( 58, 64)
        ( 59,115)( 60, 76)( 62, 68)( 63,119)( 66, 71)( 67,120)( 70, 80)( 74, 79)( 75,108)( 77,111)( 78,124)( 81, 87)
        ( 82,131)( 83,121)( 85, 91)( 86,135)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,103)( 98,146)(101,107)(102,150)
        (105,110)(106,151)(109,123)(112,118)(113,158)(114,127)(116,122)(117,134)(125,130)(126,152)(128,154)(129,148)
        (132,138)(133,159)(136,141)(137,156)(140,145)(143,149)(144,157)(147,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 98)( 40, 72)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,117)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,121)( 62, 68)( 63,129)( 64, 92)( 66, 71)( 67,133)( 70, 75)( 73, 95)( 74,134)( 78,113)
        ( 79,110)( 81, 86)( 82,122)( 84, 90)( 85,146)( 88, 94)( 89,149)( 93,125)( 96,101)( 97,137)( 99,105)(100,138)
        (103,109)(104,153)(107,112)(108,157)(111,141)(114,120)(115,148)(116,142)(119,124)(123,145)(126,132)(127,159)
        (128,150)(130,136)(131,155)(135,140)(139,156)(143,151)(144,158)(147,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 51)( 30, 35)( 33, 55)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 50)( 46, 72)( 48, 54)( 49, 96)( 52, 75)( 53, 99)( 56, 62)( 57,107)
        ( 58, 83)( 60, 66)( 61,111)( 64, 70)( 65,115)( 68, 87)( 69,119)( 73, 95)( 74, 91)( 76, 82)( 77,135)( 78,100)
        ( 81, 86)( 84,103)( 85,136)( 89, 94)( 90,123)( 92,127)( 93,143)( 97,102)( 98,128)(101,131)(104,110)(105,150)
        (106,139)(108,114)(109,154)(112,118)(113,158)(116,122)(117,159)(120,126)(121,156)(124,142)(125,152)(129,134)
        (130,144)(132,138)(133,149)(137,141)(140,146)(145,148)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 52)( 30, 35)( 33, 55)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 51)( 46, 96)( 47, 72)( 49, 54)( 50, 99)( 53, 75)( 56, 62)( 57,107)
        ( 58, 83)( 60, 66)( 61,111)( 64, 70)( 65,115)( 68, 87)( 69,119)( 73, 95)( 74, 91)( 76, 82)( 77,135)( 78,100)
        ( 81, 86)( 84,103)( 85,136)( 89, 94)( 90,123)( 92,127)( 93,143)( 97,102)( 98,128)(101,131)(104,110)(105,150)
        (106,139)(108,114)(109,154)(112,118)(113,158)(116,122)(117,159)(120,126)(121,156)(124,142)(125,152)(129,134)
        (130,144)(132,138)(133,149)(137,141)(140,146)(145,148)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 87)( 42, 68)( 44, 50)( 45, 91)( 48, 71)( 49, 95)( 52, 58)( 53,106)( 54, 72)( 56, 62)
        ( 57,110)( 60, 66)( 61,114)( 64, 75)( 65,118)( 69, 83)( 70, 80)( 73,102)( 74, 98)( 77, 82)( 78,122)( 81,126)
        ( 84, 90)( 85,138)( 86,127)( 88, 94)( 89,133)( 92, 97)( 93,100)( 96,101)( 99,130)(103,109)(104,142)(105,131)
        (107,113)(108,146)(111,117)(112,150)(115,121)(116,153)(119,125)(120,157)(123,129)(124,137)(128,134)(132,139)
        (135,141)(136,158)(140,145)(143,149)(144,159)(147,152)(148,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 41)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 44)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 77)
        ( 37, 64)( 38, 80)( 42, 47)( 43, 65)( 45, 68)( 46, 89)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 88)( 67, 84)( 70, 96)( 71, 92)( 73, 79)( 74,131)( 75,115)( 78, 83)( 81, 87)
        ( 82,132)( 85,119)( 86,135)( 90, 95)( 91,120)( 93,123)( 94,121)( 97,103)( 98,146)( 99,124)(101,106)(102,150)
        (105,110)(108,114)(109,151)(112,118)(113,154)(116,127)(117,155)(122,139)(125,142)(126,140)(128,134)(129,144)
        (130,158)(133,138)(136,141)(137,145)(143,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 64)( 33, 39)( 34, 77)
        ( 37, 43)( 38, 80)( 41, 47)( 42, 84)( 45, 51)( 46, 88)( 49, 68)( 50, 92)( 53, 59)( 54,103)( 55, 69)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 72)( 66,114)( 70, 99)( 71, 95)( 73, 79)( 74,130)( 75,118)( 78, 83)( 81, 87)
        ( 82,131)( 85, 91)( 86,134)( 89, 94)( 90,138)( 93, 98)( 96,122)( 97,139)(100,106)(101,146)(102,123)(104,110)
        (105,150)(108,113)(109,153)(112,117)(115,121)(116,154)(119,126)(120,157)(124,142)(125,140)(127,133)(128,144)
        (129,158)(132,137)(135,141)(136,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 41)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 44)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 77)
        ( 37, 64)( 38, 80)( 42, 47)( 43, 65)( 45, 68)( 46, 89)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 88)( 67, 84)( 70, 96)( 71, 92)( 73, 79)( 74,130)( 75,115)( 78, 83)( 81, 87)
        ( 82,131)( 85,119)( 86,134)( 90, 95)( 91,120)( 93,122)( 94,139)( 97,103)( 98,146)( 99,123)(101,106)(102,150)
        (105,110)(108,114)(109,151)(112,118)(113,154)(116,126)(117,155)(121,138)(124,142)(125,140)(127,133)(128,144)
        (129,158)(132,137)(135,141)(136,145)(143,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 64)( 33, 39)( 34, 77)
        ( 37, 43)( 38, 80)( 41, 47)( 42, 84)( 45, 51)( 46, 88)( 49, 68)( 50, 92)( 53, 59)( 54,103)( 55, 69)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 72)( 66,114)( 70, 99)( 71, 96)( 73, 79)( 74,130)( 75,118)( 78, 83)( 81, 87)
        ( 82,131)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93, 98)( 94,139)( 97,122)(100,106)(101,146)(102,123)(104,110)
        (105,150)(108,113)(109,153)(112,117)(115,121)(116,154)(119,126)(120,157)(124,142)(125,140)(127,133)(128,144)
        (129,158)(132,137)(135,141)(136,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 56)
        ( 35, 87)( 38, 43)( 39, 67)( 41, 47)( 42, 96)( 45, 71)( 46, 98)( 49, 55)( 50,110)( 51, 72)( 54, 75)( 57, 62)
        ( 58,118)( 59, 91)( 61, 66)( 64, 70)( 65,119)( 68, 95)( 69,122)( 73,106)( 74,102)( 76, 82)( 77,134)( 78,111)
        ( 80, 86)( 81,138)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92,114)( 93,146)( 97,101)( 99,105)(100,123)(103,126)
        (104,154)(107,113)(108,158)(109,127)(112,130)(115,121)(116,156)(117,150)(120,125)(124,157)(128,151)(129,155)
        (131,137)(132,148)(133,159)(135,141)(136,144)(140,145)(143,149)(147,153)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 76)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 87)( 39, 61)( 41, 47)( 42, 91)( 45, 64)( 46, 95)( 49, 55)( 50,107)( 51, 65)( 54, 68)( 57, 63)
        ( 58,115)( 59, 80)( 62, 84)( 66,103)( 67, 99)( 69, 75)( 70,127)( 71,108)( 73, 79)( 74,130)( 78, 83)( 81,111)
        ( 82,131)( 85, 90)( 86,116)( 88, 94)( 89,139)( 92, 98)( 93,142)( 96,102)( 97,143)(100,119)(101,146)(104,110)
        (105,154)(106,120)(109,123)(112,118)(113,157)(114,134)(117,138)(121,150)(122,147)(124,129)(125,136)(126,155)
        (128,133)(132,137)(135,152)(140,145)(141,158)(144,149)(148,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,119)( 52, 73)( 55, 76)
        ( 58, 64)( 59,127)( 60, 92)( 62, 67)( 63,131)( 66, 71)( 69, 96)( 70,132)( 74,115)( 75,111)( 77, 83)( 78,147)
        ( 79,120)( 81, 87)( 82,151)( 85, 91)( 86,152)( 89, 95)( 90,149)( 93,123)( 94,145)( 97,102)( 98,105)( 99,135)
        (101,106)(104,110)(108,114)(109,136)(112,139)(113,157)(116,122)(117,155)(118,140)(121,143)(124,130)(125,141)
        (126,154)(128,134)(129,159)(133,138)(137,160)(142,158)(144,150)(146,156)(148,153),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 45)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 81)( 41, 47)( 42, 92)( 43, 65)( 46, 68)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 72)( 62,112)( 66, 88)( 67, 84)( 70, 96)( 71, 93)( 73, 79)( 74,131)( 75,115)( 77, 83)( 78,135)
        ( 82, 87)( 85,119)( 86,136)( 89, 95)( 90,143)( 91,120)( 94,123)( 97,103)( 98,150)( 99,124)(101,107)(102,153)
        (105,111)(106,157)(109,114)(110,158)(113,118)(116,127)(117,159)(121,139)(122,137)(125,146)(126,144)(128,134)
        (129,148)(130,155)(132,138)(133,142)(140,145)(141,149)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39, 70)( 41, 46)( 42, 99)( 45, 74)( 48, 54)( 49,106)( 50, 75)( 52, 58)( 53,110)( 56, 78)
        ( 57,114)( 60, 66)( 61,104)( 62, 94)( 64, 69)( 65,122)( 68, 73)( 71, 98)( 72,123)( 76,102)( 77,100)( 79, 85)
        ( 80,130)( 81,118)( 83, 89)( 84,131)( 87, 93)( 88,134)( 91, 97)( 92,138)( 95,108)( 96,142)(101,124)(103,109)
        (105,125)(107,113)(111,117)(112,143)(115,121)(116,146)(119,126)(120,150)(127,133)(128,158)(129,151)(132,137)
        (135,141)(136,159)(139,145)(140,156)(144,149)(147,153)(148,157)(152,154)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 43, 73)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,117)( 60, 93)( 62, 68)( 63,113)( 66, 72)( 67,109)( 70, 97)( 71,105)( 75,103)( 76,101)( 78, 84)
        ( 79,126)( 80,119)( 82, 88)( 83,130)( 86, 92)( 87,134)( 90, 96)( 91,138)( 94,121)( 95,142)( 98,102)( 99,106)
        (104,110)(108,114)(112,118)(116,122)(120,123)(124,129)(125,143)(127,133)(128,147)(131,137)(132,150)(135,141)
        (136,154)(139,145)(140,157)(144,146)(148,153)(149,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 25)(  7, 16)(  9, 20)( 10, 28)( 13, 19)( 14, 40)( 15, 21)
        ( 17, 24)( 18, 41)( 22, 36)( 23, 32)( 26, 31)( 27, 44)( 29, 35)( 30, 53)( 33, 48)( 34, 56)( 37, 43)( 38, 68)
        ( 39, 49)( 42, 47)( 45, 52)( 46, 69)( 50, 64)( 51, 60)( 54, 59)( 55, 72)( 57, 63)( 58, 81)( 61, 76)( 62, 84)
        ( 65, 71)( 66, 96)( 67, 77)( 70, 75)( 73, 80)( 74, 97)( 78, 92)( 79, 88)( 82, 87)( 83,100)( 85, 91)( 86,109)
        ( 89,104)( 90,112)( 93, 99)( 94,124)( 95,105)( 98,103)(101,108)(102,125)(106,120)(107,116)(110,115)(111,128)
        (113,119)(114,137)(117,132)(118,140)(121,127)(122,150)(123,133)(126,131)(129,136)(130,151)(134,147)(135,144)
        (138,143)(139,154)(141,146)(142,160)(145,157)(148,153)(149,158)(152,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 25)(  7, 16)(  9, 20)( 10, 28)( 13, 19)( 14, 40)( 15, 21)
        ( 17, 24)( 18, 44)( 22, 36)( 23, 32)( 26, 31)( 27, 45)( 29, 35)( 30, 53)( 33, 48)( 34, 56)( 37, 43)( 38, 68)
        ( 39, 49)( 41, 47)( 42, 72)( 46, 52)( 50, 64)( 51, 60)( 54, 59)( 55, 73)( 57, 63)( 58, 81)( 61, 76)( 62, 84)
        ( 65, 71)( 66, 96)( 67, 77)( 69, 75)( 70,100)( 74, 80)( 78, 92)( 79, 88)( 82, 87)( 83,101)( 85, 91)( 86,109)
        ( 89,104)( 90,112)( 93, 99)( 94,124)( 95,105)( 97,103)( 98,128)(102,108)(106,120)(107,116)(110,115)(111,129)
        (113,119)(114,137)(117,132)(118,140)(121,127)(122,150)(123,133)(125,131)(126,153)(130,136)(134,147)(135,144)
        (138,143)(139,154)(141,146)(142,160)(145,157)(148,152)(149,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,109)( 46, 77)( 47,113)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,130)( 62, 68)( 63,138)( 64, 97)( 66, 72)( 67,142)( 70, 76)( 71,146)( 74,101)( 75,147)
        ( 79,121)( 80,117)( 82, 88)( 83,150)( 84,119)( 86, 92)( 87,154)( 90, 96)( 91,158)( 94,100)( 95,159)( 98,134)
        ( 99,156)(102,108)(103,144)(104,148)(106,112)(107,140)(110,116)(111,136)(114,120)(115,153)(118,131)(122,126)
        (123,132)(125,129)(128,133)(135,141)(137,152)(139,145)(143,149)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,121)( 61, 67)( 62,129)( 63, 88)( 65, 71)( 66,133)( 69, 75)( 70,137)( 73, 92)( 74,141)( 78,112)
        ( 79,108)( 81, 87)( 82,149)( 83,110)( 86, 91)( 89,125)( 90,150)( 93, 99)( 94,127)( 95,145)( 97,103)( 98,154)
        (101,107)(102,155)(105,111)(106,152)(109,122)(113,117)(114,123)(116,120)(119,124)(126,132)(128,153)(130,136)
        (131,146)(134,140)(135,157)(138,144)(139,158)(142,148)(143,159)(147,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 88)( 34, 60)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,121)( 61, 67)( 62,129)( 63, 89)( 65, 71)( 66,133)( 69, 75)( 70,137)( 73, 92)( 74,141)( 78,112)
        ( 79,108)( 81, 87)( 82,149)( 83,110)( 85, 91)( 86,153)( 90,125)( 93, 99)( 94,127)( 95,145)( 97,103)( 98,155)
        (101,107)(102,151)(105,111)(106,152)(109,122)(113,117)(114,123)(116,120)(119,124)(126,132)(128,154)(130,136)
        (131,146)(134,140)(135,157)(138,144)(139,158)(142,148)(143,159)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,122)( 52, 77)( 54, 59)
        ( 57, 80)( 58,123)( 61, 67)( 62,134)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,138)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,126)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,130)( 97,157)(100,106)
        (101,132)(102,140)(104,110)(105,159)(108,114)(109,155)(112,118)(113,151)(116,142)(117,148)(120,125)(121,143)
        (124,129)(127,145)(128,144)(131,137)(133,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,108)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,134)( 64, 96)( 66, 72)( 67,138)( 70, 76)( 71,139)( 74,100)( 75,140)
        ( 79,112)( 81, 87)( 82,146)( 83,126)( 85, 91)( 86,150)( 89, 95)( 90,154)( 93, 99)( 94,155)( 97,130)( 98,152)
        (101,107)(102,157)(103,136)(106,111)(109,115)(110,158)(113,119)(114,145)(117,122)(118,128)(121,125)(124,129)
        (127,142)(131,137)(132,160)(133,148)(135,141)(143,149)(144,159)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 55)( 51, 73)( 53, 59)( 54,117)
        ( 57, 76)( 58,120)( 61, 67)( 62,131)( 63, 92)( 65, 71)( 66, 99)( 70, 96)( 74,116)( 75,112)( 77, 83)( 78,142)
        ( 79,123)( 81, 87)( 82,146)( 85, 91)( 86,150)( 89, 95)( 90,151)( 93,127)( 94,148)( 97,103)( 98,132)(101,107)
        (102,153)(105,111)(106,154)(109,115)(110,157)(113,135)(114,141)(118,122)(119,136)(121,126)(124,138)(125,137)
        (128,134)(129,159)(130,144)(133,156)(139,145)(140,158)(143,149)(147,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 55)( 51,115)( 52, 73)( 54, 59)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 92)( 65, 71)( 66,131)( 70, 96)( 74,112)( 75,108)( 77, 83)( 78,142)
        ( 79,119)( 81, 87)( 82,146)( 85, 91)( 86,150)( 89, 95)( 90,151)( 93,123)( 94,148)( 98,103)( 99,132)(101,107)
        (102,154)(105,111)(106,157)(109,135)(110,141)(113,118)(114,136)(117,122)(120,138)(121,137)(124,130)(125,159)
        (126,144)(128,134)(129,156)(133,153)(139,145)(140,158)(143,149)(147,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 69)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,114)( 61, 67)( 62,125)( 63, 83)( 65, 71)( 66,129)( 70, 87)( 74,103)( 76, 82)( 77,137)( 78,117)
        ( 81, 86)( 84,121)( 85,138)( 88, 94)( 89,146)( 90,130)( 92, 98)( 93,149)( 96,102)( 97,153)(100,106)(101,157)
        (104,110)(105,136)(108,113)(109,119)(112,116)(115,120)(118,133)(122,128)(123,151)(124,141)(126,132)(127,148)
        (131,145)(134,140)(135,158)(139,144)(142,155)(143,159)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 35)( 31, 83)( 34, 60)
        ( 37, 43)( 38, 91)( 39, 69)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,114)( 61, 67)( 62,125)( 63, 84)( 65, 71)( 66,129)( 70, 87)( 74,103)( 76, 82)( 77,137)( 78,117)
        ( 80, 86)( 81,141)( 85,121)( 88, 94)( 89,146)( 90,130)( 92, 98)( 93,149)( 96,102)( 97,153)(100,106)(101,157)
        (104,110)(105,136)(108,113)(109,119)(112,116)(115,120)(118,133)(122,128)(123,151)(124,142)(126,132)(127,148)
        (131,145)(134,140)(135,158)(138,144)(139,159)(143,155)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 55)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 43)( 38, 92)( 39, 71)( 41, 47)( 42, 95)( 45, 75)( 46, 99)( 49, 54)( 50, 76)( 52, 58)( 53,108)( 56, 79)
        ( 57,111)( 60, 66)( 61,122)( 62, 87)( 64, 70)( 65,126)( 68, 74)( 69,127)( 72, 91)( 73,130)( 77,107)( 78,103)
        ( 80, 86)( 81,145)( 82,114)( 85, 90)( 88,118)( 89,146)( 93, 98)( 94,134)( 96,102)( 97,154)(100,106)(101,157)
        (104,138)(105,144)(109,113)(110,139)(112,117)(115,141)(116,140)(119,125)(120,136)(121,149)(123,129)(124,132)
        (128,133)(131,137)(135,153)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 55)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,114)( 51, 76)( 53, 58)( 56, 79)
        ( 57,115)( 60, 66)( 61,126)( 62, 87)( 64, 70)( 65,130)( 68, 74)( 69,131)( 72, 91)( 73,132)( 77,111)( 78,107)
        ( 80, 86)( 81,141)( 82,118)( 85, 90)( 88,122)( 89,142)( 92, 98)( 93,149)( 94,128)( 96,102)( 97,150)(100,106)
        (101,153)(104,110)(105,157)(108,134)(109,140)(112,117)(113,135)(116,121)(119,137)(120,136)(123,129)(124,152)
        (125,145)(127,133)(138,144)(139,158)(143,148)(146,155)(147,159)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 35)( 31, 87)( 34, 59)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,114)( 51, 76)( 53, 58)( 56, 79)
        ( 57,115)( 60, 66)( 61,126)( 62, 88)( 64, 70)( 65,130)( 68, 74)( 69,131)( 72, 91)( 73,132)( 77,111)( 78,107)
        ( 80, 86)( 81,141)( 82,118)( 84, 90)( 85,145)( 89,122)( 92, 98)( 93,149)( 94,128)( 96,102)( 97,150)(100,106)
        (101,153)(104,110)(105,157)(108,134)(109,140)(112,117)(113,135)(116,121)(119,137)(120,136)(123,129)(124,152)
        (125,146)(127,133)(138,144)(139,158)(142,148)(143,159)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 95)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,107)( 54, 76)( 55,110)
        ( 58, 64)( 59,121)( 60, 81)( 62, 68)( 63,125)( 66, 72)( 67,126)( 70, 84)( 71,129)( 75, 99)( 77, 83)( 78,141)
        ( 79,113)( 82,117)( 85, 91)( 86,149)( 87,133)( 89, 94)( 90,153)( 93, 98)( 96,102)( 97,154)(100,106)(101,140)
        (104,109)(105,115)(108,112)(111,116)(114,137)(118,124)(119,147)(120,142)(122,128)(123,157)(127,132)(130,136)
        (131,158)(134,145)(135,159)(138,144)(139,155)(143,151)(146,152)(148,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 51)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,107)( 57, 63)
        ( 58,118)( 59, 81)( 61, 67)( 62,122)( 65, 71)( 66,126)( 69, 84)( 70,127)( 74,103)( 75, 99)( 77, 83)( 78,141)
        ( 79,110)( 82,114)( 85, 91)( 86,149)( 87,130)( 89, 94)( 90,153)( 93, 98)( 96,102)( 97,154)(100,134)(101,140)
        (105,109)(106,135)(108,113)(111,137)(112,136)(115,121)(116,147)(117,142)(119,125)(120,157)(123,129)(124,158)
        (128,133)(131,145)(132,159)(138,144)(139,155)(143,151)(146,152)(148,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 51)( 47,106)( 48, 73)( 50, 55)( 53, 76)( 54,107)( 57, 63)
        ( 58,118)( 59, 81)( 61, 67)( 62,122)( 65, 71)( 66,126)( 69, 84)( 70,130)( 74,103)( 75, 99)( 77, 83)( 78,141)
        ( 79,110)( 82,114)( 85, 91)( 86,149)( 87,131)( 89, 94)( 90,153)( 93, 98)( 96,102)( 97,154)(100,134)(101,140)
        (104,109)(105,135)(108,113)(111,137)(112,136)(115,121)(116,147)(117,142)(119,125)(120,157)(123,129)(124,158)
        (127,133)(128,159)(132,145)(138,144)(139,155)(143,151)(146,152)(148,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 39, 43)( 40, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58, 98)( 59, 92)( 61, 67)( 62,116)( 65, 71)( 66,117)( 69, 75)( 70,118)( 74, 96)( 77, 83)( 78,124)( 79,112)
        ( 81, 87)( 82,127)( 85, 91)( 86,131)( 89, 95)( 90,135)( 93,102)( 94,139)( 97,103)( 99,119)(101,107)(105,111)
        (106,140)(109,115)(110,143)(113,120)(114,147)(121,126)(122,157)(123,150)(125,130)(128,134)(129,158)(132,138)
        (133,159)(136,142)(137,155)(141,146)(144,149)(145,156)(148,152)(151,153)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 45)( 26, 32)( 27, 77)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 93)( 40, 68)( 42, 47)( 43, 96)( 46, 72)( 49, 55)( 50,104)( 51, 73)( 53, 59)( 54,108)
        ( 57, 76)( 58,112)( 61, 67)( 62,124)( 63, 88)( 66, 71)( 69, 92)( 70,125)( 74,100)( 75, 97)( 78, 83)( 79,116)
        ( 81, 87)( 82,129)( 85, 91)( 86,132)( 89,120)( 90,136)( 94, 99)( 95,126)( 98,122)(101,107)(102,137)(103,123)
        (105,111)(106,140)(109,115)(110,144)(113,119)(114,147)(117,128)(118,151)(121,127)(130,135)(131,154)(133,139)
        (134,158)(138,143)(141,146)(142,159)(145,150)(148,153)(149,160)(152,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 96)( 40, 71)( 42, 47)( 43, 99)( 46, 75)( 49, 55)( 50,107)( 51, 76)( 53, 59)( 54,111)
        ( 57, 79)( 58,115)( 61, 67)( 62,123)( 63, 91)( 65, 70)( 66,127)( 69, 74)( 72, 95)( 73,128)( 77,103)( 78,100)
        ( 81, 86)( 82,119)( 84, 90)( 85,132)( 88, 94)( 89,135)( 92,105)( 93,139)( 97,102)( 98,129)(101,125)(104,110)
        (106,126)(108,114)(109,140)(112,118)(113,143)(116,122)(117,147)(120,131)(121,151)(124,130)(133,138)(134,154)
        (136,142)(137,158)(141,146)(144,150)(145,159)(148,153)(149,160)(152,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 43)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 31)( 18, 35)( 19, 56)( 23, 39)( 25, 30)( 26, 67)( 27, 47)( 29, 34)( 32, 51)( 33, 68)( 37, 42)
        ( 38, 59)( 40, 46)( 41, 76)( 44, 50)( 45, 79)( 48, 63)( 49, 83)( 52, 58)( 53, 95)( 54, 71)( 57, 62)( 60, 75)
        ( 61, 96)( 64, 70)( 65,107)( 66, 87)( 69, 74)( 72, 91)( 73,108)( 77, 82)( 78, 99)( 80, 86)( 81,116)( 84, 90)
        ( 85,119)( 88,103)( 89,123)( 92, 98)( 93,134)( 94,111)( 97,102)(100,115)(101,135)(104,110)(105,146)(106,127)
        (109,114)(112,130)(113,147)(117,122)(118,138)(120,126)(121,151)(124,129)(125,154)(128,142)(131,137)(132,157)
        (133,148)(136,141)(139,150)(140,158)(143,149)(144,160)(145,155)(152,156)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 43)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 32)( 18, 35)( 19, 56)( 23, 39)( 25, 31)( 26, 67)( 27, 47)( 29, 34)( 30, 71)( 33, 51)( 37, 42)
        ( 38, 59)( 40, 46)( 41, 76)( 44, 50)( 45, 79)( 48, 63)( 49, 83)( 52, 58)( 53, 95)( 54, 72)( 57, 62)( 60, 75)
        ( 61, 96)( 64, 70)( 65,107)( 66, 87)( 68, 74)( 69,111)( 73, 91)( 77, 82)( 78, 99)( 80, 86)( 81,116)( 84, 90)
        ( 85,119)( 88,103)( 89,123)( 92, 98)( 93,134)( 94,112)( 97,102)(100,115)(101,135)(104,110)(105,146)(106,127)
        (108,114)(109,147)(113,130)(117,122)(118,138)(120,126)(121,151)(124,129)(125,154)(128,142)(131,137)(132,157)
        (133,148)(136,141)(139,150)(140,158)(143,149)(144,160)(145,155)(152,156)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,109)( 46, 77)( 47,113)( 50, 56)( 51,125)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,139)( 74,101)( 75,140)
        ( 79,121)( 80,117)( 82, 88)( 83,142)( 84,119)( 86, 92)( 87,146)( 90, 96)( 91,150)( 94,100)( 95,153)( 98,107)
        ( 99,157)(102,108)(104,138)(106,112)(110,116)(111,158)(114,120)(115,145)(118,133)(122,127)(123,130)(124,134)
        (126,131)(129,135)(137,141)(143,149)(144,159)(147,152)(148,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,139)( 64, 96)( 66, 72)( 67,143)( 70, 76)( 71,147)( 74,100)( 75,150)
        ( 79,120)( 80,116)( 82, 88)( 83,153)( 84,118)( 86, 91)( 87,157)( 90, 95)( 93, 99)( 94,158)( 97,135)( 98,159)
        (101,107)(102,145)(103,151)(105,111)(106,141)(109,115)(110,137)(113,119)(114,156)(117,132)(121,126)(122,129)
        (123,133)(125,130)(128,134)(136,142)(138,155)(140,146)(144,149)(148,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,139)( 64, 96)( 66, 72)( 67,143)( 70, 76)( 71,147)( 74,100)( 75,150)
        ( 79,120)( 80,116)( 82, 88)( 83,153)( 84,118)( 86, 92)( 87,157)( 90, 95)( 91,158)( 94, 99)( 97,135)( 98,159)
        (101,107)(102,145)(103,151)(105,111)(106,141)(109,115)(110,137)(113,119)(114,156)(117,132)(121,126)(122,129)
        (123,133)(125,130)(128,134)(136,142)(138,155)(140,146)(144,149)(148,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 97)( 75,147)
        ( 79,117)( 80,113)( 83, 88)( 84,115)( 86, 92)( 87,111)( 90, 96)( 91,107)( 94,132)( 95,103)( 98,104)( 99,134)
        (100,151)(102,108)(106,112)(110,116)(114,129)(118,123)(119,126)(120,130)(122,127)(125,131)(133,138)(136,142)
        (137,152)(140,146)(141,155)(144,150)(145,158)(148,154)(149,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,136)( 64, 96)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74,100)( 75,147)
        ( 79,120)( 80,116)( 82, 87)( 83,118)( 85, 91)( 86,114)( 89, 95)( 90,110)( 93, 99)( 94,106)( 97,135)( 98,102)
        (101,107)(103,151)(105,111)(109,115)(113,119)(117,132)(121,126)(122,129)(123,133)(125,130)(128,134)(137,142)
        (138,152)(140,146)(141,156)(144,150)(145,158)(148,154)(149,159)(153,155)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,124)( 62, 68)( 63,135)( 64, 95)( 66, 71)( 67,138)( 70, 75)( 73, 99)( 74,139)( 78,119)
        ( 79,115)( 81, 86)( 82,127)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,131)( 97,157)(100,106)
        (101,133)(102,140)(104,110)(105,159)(108,114)(109,155)(112,118)(113,151)(116,142)(117,148)(121,126)(122,143)
        (125,130)(128,145)(129,144)(132,137)(134,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,124)( 62, 68)( 63,135)( 64, 95)( 66, 71)( 67,139)( 70, 75)( 73, 99)( 74,140)( 78,119)
        ( 79,115)( 81, 86)( 82,127)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,131)( 97,157)(100,106)
        (101,133)(102,137)(104,110)(105,159)(108,114)(109,155)(112,118)(113,151)(116,142)(117,148)(121,126)(122,143)
        (125,130)(128,145)(129,144)(132,138)(134,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 89)( 38, 44)( 39,101)( 40, 71)( 42, 48)( 43,105)( 46, 74)( 47,109)( 50, 55)( 51, 75)( 53, 59)( 54,118)
        ( 57, 78)( 58,121)( 61, 67)( 62,133)( 63, 93)( 65, 70)( 66,100)( 69, 73)( 72, 97)( 76,117)( 77,113)( 79, 85)
        ( 80,145)( 81,125)( 83, 88)( 84,149)( 87, 92)( 90, 96)( 91,150)( 94,129)( 95,151)( 98,104)( 99,134)(102,108)
        (103,153)(106,112)(107,154)(110,116)(111,157)(114,137)(115,144)(119,124)(120,138)(122,128)(123,139)(126,141)
        (127,140)(130,136)(131,159)(132,147)(135,156)(142,148)(143,158)(146,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39,101)( 40, 71)( 42, 48)( 43,105)( 46, 74)( 47,109)( 50, 55)( 51, 75)( 53, 59)( 54,118)
        ( 57, 78)( 58,121)( 61, 67)( 62,133)( 63, 93)( 65, 70)( 66,100)( 69, 73)( 72, 97)( 76,117)( 77,113)( 79, 85)
        ( 80,145)( 81,125)( 83, 89)( 84,149)( 87, 92)( 88,150)( 91, 96)( 94,129)( 95,151)( 98,104)( 99,134)(102,108)
        (103,153)(106,112)(107,154)(110,116)(111,157)(114,137)(115,144)(119,124)(120,138)(122,128)(123,139)(126,141)
        (127,140)(130,136)(131,159)(132,147)(135,156)(142,148)(143,158)(146,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,103)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 99)( 74,138)( 78,111)
        ( 79,107)( 81, 87)( 82,149)( 83,122)( 85, 90)( 86,153)( 89, 94)( 92, 98)( 93,154)( 96,126)( 97,155)(101,106)
        (102,141)(104,110)(105,158)(108,114)(109,148)(112,118)(113,124)(117,121)(120,125)(123,145)(127,133)(128,160)
        (129,151)(131,137)(132,143)(136,140)(139,144)(142,157)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,103)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 99)( 74,138)( 78,111)
        ( 79,107)( 81, 87)( 82,149)( 83,122)( 85, 91)( 86,153)( 89, 94)( 90,154)( 93, 98)( 96,126)( 97,155)(101,106)
        (102,141)(104,110)(105,158)(108,114)(109,148)(112,118)(113,124)(117,121)(120,125)(123,145)(127,133)(128,160)
        (129,151)(131,137)(132,143)(136,140)(139,144)(142,157)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,103)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,137)( 73, 99)( 74,138)( 78,111)
        ( 79,107)( 81, 87)( 82,149)( 83,122)( 85, 90)( 86,153)( 89, 94)( 92, 98)( 93,154)( 96,126)( 97,155)(101,106)
        (102,141)(104,110)(105,158)(108,114)(109,148)(112,117)(113,124)(116,121)(120,125)(123,145)(127,133)(128,160)
        (129,151)(131,136)(132,143)(135,140)(139,144)(142,157)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,103)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,137)( 73, 99)( 74,138)( 78,111)
        ( 79,107)( 81, 87)( 82,149)( 83,122)( 85, 91)( 86,153)( 89, 94)( 90,154)( 93, 98)( 96,126)( 97,155)(101,106)
        (102,141)(104,110)(105,158)(108,114)(109,148)(112,117)(113,124)(116,121)(120,125)(123,145)(127,133)(128,160)
        (129,151)(131,136)(132,143)(135,140)(139,144)(142,157)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 72)( 67,135)( 71, 96)( 75,115)( 76,111)( 78, 84)
        ( 79,145)( 80,123)( 82, 87)( 83,149)( 86, 91)( 89, 95)( 90,150)( 93,127)( 94,151)( 97,102)( 98,153)( 99,136)
        (101,106)(104,110)(105,154)(108,114)(109,157)(112,138)(113,144)(117,122)(118,139)(121,126)(124,141)(125,140)
        (128,134)(129,159)(130,147)(132,137)(133,156)(142,148)(143,158)(146,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 72)( 67,135)( 71, 96)( 75,115)( 76,111)( 78, 84)
        ( 79,145)( 80,123)( 82, 88)( 83,149)( 86, 91)( 87,150)( 90, 95)( 93,127)( 94,151)( 97,102)( 98,153)( 99,136)
        (101,106)(104,110)(105,154)(108,114)(109,157)(112,138)(113,144)(117,122)(118,139)(121,126)(124,141)(125,140)
        (128,134)(129,159)(130,147)(132,137)(133,156)(142,148)(143,158)(146,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,124)( 62, 68)( 63,132)( 64, 95)( 66, 72)( 67,135)( 70, 75)( 71,136)( 74, 99)( 78,119)
        ( 79,115)( 81, 86)( 82,127)( 84, 90)( 85,143)( 88, 94)( 89,146)( 92, 98)( 93,150)( 96,131)( 97,154)(100,106)
        (101,159)(102,137)(104,110)(105,156)(108,114)(109,152)(112,118)(113,148)(116,139)(117,145)(121,126)(122,140)
        (125,130)(128,142)(129,141)(133,138)(134,158)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 51)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,107)( 57, 63)
        ( 58,119)( 59, 80)( 61, 67)( 62,123)( 65, 71)( 66,127)( 69, 84)( 70,128)( 74,103)( 75, 99)( 78, 83)( 79,111)
        ( 81,115)( 82,140)( 85, 90)( 86,151)( 87,131)( 89, 94)( 92, 98)( 93,152)( 96,102)( 97,145)(100,135)(101,142)
        (105,110)(106,136)(108,114)(109,137)(112,139)(113,138)(116,122)(117,149)(118,143)(120,126)(121,155)(124,130)
        (125,158)(129,134)(132,147)(133,159)(141,146)(144,153)(148,154)(150,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 55)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,119)( 62, 67)( 63, 92)( 65, 71)( 66,128)( 69, 96)( 70,129)( 74,115)( 75,111)( 77, 83)( 78,143)
        ( 79,123)( 81, 87)( 82,147)( 85, 91)( 86,151)( 89, 95)( 90,155)( 93,127)( 94,158)( 97,103)( 98,149)( 99,131)
        (101,107)(102,145)(105,110)(106,141)(109,114)(112,135)(113,142)(117,122)(118,136)(120,126)(121,137)(124,139)
        (125,138)(130,134)(132,153)(133,159)(140,146)(144,150)(148,154)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 85)( 71,134)( 75,104)( 76,100)( 79, 84)
        ( 80,115)( 82,119)( 83,142)( 86, 91)( 87,153)( 88,137)( 90, 95)( 93, 99)( 94,154)( 97,103)( 98,147)(101,107)
        (102,144)(105,111)(106,117)(110,114)(113,118)(116,141)(120,126)(121,151)(122,145)(124,129)(125,157)(128,133)
        (131,136)(132,158)(135,140)(138,149)(139,159)(143,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,119)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,123)( 63, 68)( 64, 93)( 66, 72)( 67,131)( 70, 96)( 71,134)( 75,115)( 76,111)( 78, 84)
        ( 79,145)( 80,126)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,130)( 97,103)( 98,151)( 99,137)
        (101,107)(102,147)(105,110)(106,143)(109,114)(112,118)(113,144)(116,122)(117,128)(121,125)(124,129)(127,141)
        (132,136)(133,158)(135,140)(138,155)(139,159)(142,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 85)( 71,134)( 75,104)( 76,100)( 79, 84)
        ( 80,115)( 82,119)( 83,142)( 86, 91)( 87,153)( 88,138)( 90, 95)( 93, 99)( 94,154)( 97,103)( 98,147)(101,107)
        (102,144)(105,110)(106,117)(109,114)(113,118)(116,141)(120,126)(121,151)(122,145)(124,129)(125,157)(128,133)
        (131,137)(132,158)(135,140)(136,159)(139,149)(143,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,119)( 52, 74)( 54, 60)
        ( 55,122)( 58, 77)( 59,123)( 63, 68)( 64, 93)( 66, 72)( 67,131)( 70, 96)( 71,134)( 75,115)( 76,111)( 78, 84)
        ( 79,145)( 80,126)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 95)( 91,157)( 94,130)( 97,103)( 98,151)( 99,138)
        (101,107)(102,147)(105,110)(106,143)(109,114)(112,118)(113,144)(116,121)(117,128)(120,125)(124,129)(127,141)
        (132,137)(133,158)(135,140)(136,159)(139,155)(142,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 42, 48)( 43,105)( 46, 73)( 47,109)( 50, 56)( 51,120)( 52, 74)( 54, 60)
        ( 55,123)( 58, 77)( 59,124)( 63, 68)( 64, 93)( 66, 72)( 67,132)( 70, 97)( 71,134)( 75,116)( 76,112)( 78, 84)
        ( 79,145)( 80,127)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 96)( 91,157)( 94,131)( 95,158)( 98,104)( 99,151)
        (100,138)(102,108)(103,147)(106,111)(107,143)(110,115)(113,119)(114,144)(117,122)(118,129)(121,126)(125,130)
        (128,141)(133,137)(135,140)(136,159)(139,155)(142,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,105)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,109)
        ( 58, 64)( 59,120)( 60, 81)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 85)( 71,131)( 75,104)( 76,100)( 79, 84)
        ( 80,112)( 82,116)( 83,142)( 86, 91)( 87,153)( 88,135)( 90, 95)( 93, 99)( 94,154)( 97,103)( 98,147)(101,138)
        (102,144)(106,111)(107,139)(110,115)(113,141)(114,140)(117,123)(118,151)(119,145)(121,127)(122,157)(125,130)
        (126,158)(129,134)(132,137)(133,159)(136,149)(143,148)(146,155)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 42, 48)( 43,105)( 46, 73)( 47,109)( 50, 56)( 51,117)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,121)( 63, 68)( 64, 93)( 66, 72)( 67,129)( 70, 97)( 71,131)( 75,116)( 76,112)( 78, 84)
        ( 79,145)( 80,124)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 96)( 91,157)( 94,128)( 95,158)( 98,104)( 99,151)
        (100,135)(102,108)(103,147)(106,111)(107,143)(110,115)(113,138)(114,144)(118,123)(119,139)(122,127)(125,141)
        (126,140)(130,134)(132,137)(133,159)(136,155)(142,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,116)
        ( 57, 79)( 58,119)( 61, 67)( 62,130)( 63, 87)( 65, 70)( 66,134)( 69, 74)( 72, 91)( 73,135)( 77,111)( 78,107)
        ( 81, 86)( 82,122)( 84, 90)( 85,142)( 88,126)( 89,145)( 92, 98)( 93,154)( 94,138)( 96,102)( 97,157)(100,106)
        (101,151)(104,110)(105,147)(108,114)(109,144)(112,118)(113,124)(117,121)(120,125)(123,141)(127,133)(128,159)
        (129,149)(131,137)(132,156)(136,140)(139,153)(143,148)(146,152)(150,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,119)( 61, 67)( 62,130)( 63, 87)( 65, 70)( 66,134)( 69, 74)( 72, 91)( 73,135)( 77,111)( 78,107)
        ( 81, 86)( 82,122)( 84, 90)( 85,142)( 88,126)( 89,145)( 92, 98)( 93,154)( 94,138)( 96,102)( 97,157)(100,106)
        (101,151)(104,110)(105,147)(108,114)(109,144)(112,117)(113,124)(116,121)(120,125)(123,141)(127,133)(128,159)
        (129,149)(131,137)(132,156)(136,140)(139,153)(143,148)(146,152)(150,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 55)( 51, 73)( 53, 59)( 54,117)
        ( 57, 76)( 58,120)( 62, 67)( 63, 92)( 65, 71)( 66,129)( 69, 96)( 70,131)( 74,116)( 75,112)( 77, 83)( 78,145)
        ( 79,124)( 81, 87)( 82,149)( 85, 91)( 86,153)( 89, 95)( 90,157)( 93,128)( 94,136)( 97,103)( 98,159)( 99,134)
        (101,107)(102,155)(105,111)(106,151)(109,115)(110,147)(113,138)(114,144)(118,123)(119,139)(121,127)(122,140)
        (125,142)(126,141)(130,133)(132,137)(135,158)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 52)( 30, 36)( 31, 82)( 34, 56)
        ( 35, 86)( 39, 44)( 40, 67)( 42, 71)( 43, 95)( 46, 51)( 47,106)( 48, 72)( 50, 55)( 53, 75)( 54,107)( 57, 62)
        ( 58,118)( 59, 90)( 61, 66)( 64, 70)( 65,119)( 68, 94)( 69,122)( 73,102)( 74, 98)( 76, 81)( 77,134)( 78,110)
        ( 80, 85)( 83, 89)( 84,135)( 87, 93)( 88,138)( 91,114)( 92,142)( 96,101)( 97,126)( 99,105)(100,150)(103,109)
        (104,153)(108,113)(111,130)(112,154)(115,121)(116,124)(117,145)(120,125)(123,129)(127,149)(128,146)(131,137)
        (132,158)(133,155)(136,141)(139,144)(140,159)(143,148)(147,160)(151,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 80)( 28, 56)( 30, 35)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 84)( 66, 71)( 69, 88)( 70,128)( 74,107)( 75,104)( 77, 83)( 78,138)
        ( 79,119)( 82, 87)( 85,123)( 86,139)( 89, 95)( 90,146)( 91,125)( 93, 99)( 94,147)( 97,103)( 98,150)(101,106)
        (102,154)(105,130)(108,114)(109,137)(110,131)(112,118)(113,121)(117,122)(120,134)(124,129)(126,142)(132,157)
        (133,155)(135,141)(136,158)(140,145)(143,149)(144,159)(148,153)(151,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,112)( 61, 67)( 62,123)( 63, 83)( 66, 71)( 69, 87)( 70,124)( 74,103)( 76, 82)( 77,130)( 78,115)
        ( 81, 86)( 84,119)( 85,131)( 88, 94)( 89,138)( 90,121)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)
        (104,110)(105,149)(108,114)(109,153)(113,118)(116,126)(117,154)(120,125)(122,134)(127,133)(128,157)(129,155)
        (132,137)(135,141)(136,158)(140,145)(143,148)(144,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 69)( 43, 91)( 46, 52)( 47, 99)( 48, 70)( 50, 56)( 51,103)( 54, 72)( 55,107)
        ( 58, 64)( 59,115)( 60, 77)( 63, 68)( 66, 80)( 67,116)( 71, 95)( 73, 79)( 74,127)( 75,108)( 78,111)( 81, 87)
        ( 82,134)( 83,119)( 85, 90)( 86,138)( 89, 94)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)(104,110)
        (105,147)(109,123)(112,118)(113,154)(114,128)(117,122)(120,131)(121,155)(124,130)(125,157)(126,148)(129,150)
        (132,137)(133,152)(135,141)(136,159)(140,145)(143,149)(144,160)(151,156)(153,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,123)( 62, 68)( 63,134)( 64, 95)( 66, 71)( 67,138)( 70, 75)( 73, 99)( 74,139)( 78,114)
        ( 79,111)( 81, 86)( 82,126)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,130)( 97,154)(101,106)
        (102,136)(104,110)(105,132)(108,113)(109,158)(112,141)(115,121)(116,148)(117,142)(119,125)(120,128)(124,129)
        (127,145)(131,137)(133,157)(135,140)(143,151)(144,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 98)( 46, 72)( 47,102)( 50, 56)( 51,114)( 52, 73)( 54, 59)
        ( 55,118)( 58, 76)( 61, 67)( 62,126)( 63, 91)( 65, 71)( 66,129)( 70, 94)( 74,110)( 75,106)( 77, 82)( 78,119)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88, 93)( 89,141)( 92,122)( 96,101)( 97,130)( 99,105)(100,146)(103,109)
        (104,149)(107,113)(108,153)(111,117)(112,157)(115,121)(116,158)(120,133)(123,128)(124,148)(125,142)(127,132)
        (131,145)(135,140)(136,159)(138,144)(139,155)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 71)( 41, 47)( 42, 96)( 45, 75)( 46, 99)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,114)
        ( 57, 79)( 58,115)( 61, 67)( 62,126)( 63, 91)( 65, 70)( 66,130)( 69, 74)( 72, 95)( 73,131)( 77,106)( 78,103)
        ( 80, 86)( 81,146)( 82,118)( 84, 90)( 85,149)( 89, 94)( 92,122)( 93,150)( 97,102)( 98,134)(100,105)(101,158)
        (104,138)(107,113)(108,145)(109,139)(111,117)(112,120)(116,121)(119,142)(123,129)(124,160)(125,153)(127,133)
        (128,136)(132,137)(135,157)(140,154)(141,159)(143,148)(144,155)(147,152)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 74)( 27, 54)( 29, 34)( 32, 58)( 33, 75)( 36, 42)
        ( 37, 86)( 38, 63)( 40, 46)( 41, 89)( 44, 66)( 45, 93)( 48, 53)( 49,105)( 50, 67)( 52, 57)( 55, 70)( 56,106)
        ( 59, 65)( 60,117)( 61, 78)( 64, 82)( 68,101)( 69, 97)( 71, 77)( 72,129)( 73,109)( 76, 81)( 79,113)( 80,130)
        ( 83, 88)( 84,141)( 85,118)( 87, 92)( 90, 96)( 91,142)( 94,100)( 95,145)( 98,121)( 99,149)(102,108)(103,111)
        (104,122)(107,112)(110,125)(114,120)(115,140)(116,133)(119,137)(123,128)(124,150)(126,132)(127,158)(131,136)
        (134,153)(135,159)(138,144)(139,154)(143,148)(146,152)(147,155)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 52)( 31, 56)( 34, 40)( 35, 87)
        ( 36, 67)( 38, 44)( 39, 91)( 42, 71)( 43, 95)( 46, 51)( 47,107)( 48, 72)( 50, 55)( 53, 75)( 54,108)( 57, 63)
        ( 58,119)( 59, 80)( 61, 66)( 62,123)( 65, 70)( 68, 83)( 69,124)( 73,103)( 74, 99)( 76, 82)( 77,138)( 78,111)
        ( 81,115)( 84, 90)( 85,145)( 86,127)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,102)( 97,157)(100,130)(101,158)
        (104,110)(105,113)(106,131)(109,114)(112,134)(116,122)(117,147)(118,139)(120,126)(121,144)(125,129)(128,142)
        (132,137)(133,159)(135,141)(136,155)(140,151)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 89)( 38, 43)( 39,101)( 40, 70)( 42, 47)( 45, 74)( 46,102)( 49, 54)( 50,113)( 51, 75)( 53, 58)( 56, 78)
        ( 57,114)( 60, 66)( 61,125)( 62, 93)( 64, 69)( 65,129)( 68, 73)( 71, 97)( 72,130)( 76,109)( 77,105)( 79, 85)
        ( 80,145)( 81,117)( 83, 88)( 84,149)( 87, 92)( 90, 96)( 91,150)( 94,121)( 95,151)( 98,104)( 99,157)(100,133)
        (103,108)(106,137)(107,158)(110,116)(111,119)(112,138)(115,120)(118,141)(122,128)(123,156)(124,147)(126,132)
        (127,135)(131,136)(134,153)(139,144)(140,159)(142,148)(143,155)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39,101)( 40, 70)( 42, 47)( 45, 74)( 46,102)( 49, 54)( 50,113)( 51, 75)( 53, 58)( 56, 78)
        ( 57,114)( 60, 66)( 61,125)( 62, 93)( 64, 69)( 65,129)( 68, 73)( 71, 97)( 72,130)( 76,109)( 77,105)( 79, 85)
        ( 80,145)( 81,117)( 83, 89)( 84,149)( 87, 92)( 88,150)( 91, 96)( 94,121)( 95,151)( 98,104)( 99,157)(100,133)
        (103,108)(106,137)(107,158)(110,116)(111,119)(112,138)(115,120)(118,141)(122,128)(123,156)(124,147)(126,132)
        (127,135)(131,136)(134,153)(139,144)(140,159)(142,148)(143,155)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 64)( 41, 47)( 42, 98)( 45, 67)( 46,101)( 49, 54)( 50,113)( 51, 68)( 53, 58)( 56, 71)
        ( 57,114)( 60, 66)( 61,125)( 62, 86)( 65, 90)( 69,109)( 70,105)( 72, 78)( 73,133)( 74,117)( 76, 81)( 77,137)
        ( 80, 85)( 83, 89)( 84,138)( 87,121)( 88,139)( 91, 97)( 92,142)( 93,126)( 95,100)( 96,145)( 99,104)(102,108)
        (103,146)(106,112)(107,149)(110,116)(111,153)(115,120)(118,129)(119,154)(122,128)(123,157)(124,135)(127,141)
        (130,136)(131,160)(132,155)(134,140)(143,148)(144,158)(147,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 64)( 41, 47)( 42, 98)( 45, 67)( 46,101)( 49, 54)( 50,113)( 51, 68)( 53, 58)( 56, 71)
        ( 57,114)( 60, 66)( 61,125)( 62, 86)( 65, 90)( 69,109)( 70,105)( 72, 78)( 73,133)( 74,117)( 76, 82)( 77,137)
        ( 80, 85)( 81,138)( 84, 89)( 87,121)( 88,139)( 91, 97)( 92,142)( 93,126)( 95,100)( 96,145)( 99,104)(102,108)
        (103,146)(106,112)(107,149)(110,116)(111,153)(115,120)(118,129)(119,154)(122,128)(123,157)(124,135)(127,141)
        (130,136)(131,160)(132,155)(134,140)(143,148)(144,158)(147,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 73)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 81)( 41, 47)( 42, 84)( 45, 51)( 46, 88)( 49, 55)( 50, 92)( 53, 72)( 54, 96)( 57, 63)( 58,108)
        ( 59, 76)( 61, 67)( 62,112)( 65, 71)( 66,116)( 69, 80)( 70,120)( 74, 79)( 75,100)( 77,104)( 78,128)( 82, 87)
        ( 83,124)( 85, 91)( 86,136)( 89, 95)( 90,139)( 93, 99)( 94,143)( 97,103)( 98,147)(101,127)(102,148)(105,111)
        (106,154)(107,131)(109,115)(110,158)(113,119)(114,159)(117,123)(118,156)(121,126)(122,152)(125,135)(129,134)
        (130,145)(132,150)(133,141)(137,142)(138,153)(140,146)(144,149)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 45)( 24, 41)( 27, 32)( 28, 49)( 30, 53)( 31, 74)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 47, 52)( 48, 70)( 50, 73)( 51,101)( 54, 60)( 55,112)( 56, 77)
        ( 58, 64)( 59,116)( 62, 68)( 63,119)( 66, 81)( 67,123)( 71,100)( 72, 96)( 75, 80)( 76,104)( 78,108)( 79,136)
        ( 82, 87)( 83,147)( 84,127)( 86, 91)( 89, 95)( 90,148)( 93, 99)( 94,145)( 97,131)( 98,150)(102,107)(103,132)
        (105,135)(106,159)(109,115)(110,125)(111,139)(113,118)(114,121)(117,122)(120,126)(124,130)(128,143)(129,140)
        (133,158)(134,154)(137,142)(138,156)(141,152)(144,149)(146,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 73)( 34, 40)( 35, 84)
        ( 36, 66)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,100)( 48, 70)( 50, 56)( 51,104)( 54, 72)( 55,105)
        ( 58, 64)( 59,116)( 60, 76)( 62, 68)( 63,119)( 67, 80)( 71, 96)( 74, 79)( 75,108)( 77,112)( 78,124)( 81, 87)
        ( 82,135)( 83,120)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,145)( 97,103)( 98,149)(101,107)(102,153)
        (106,111)(109,123)(110,154)(113,118)(114,134)(115,127)(117,122)(121,131)(125,130)(126,155)(128,157)(129,151)
        (132,137)(133,158)(136,141)(139,144)(140,159)(143,148)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 56)( 31, 76)( 34, 40)( 35, 87)
        ( 36, 67)( 38, 44)( 39, 91)( 42, 71)( 43, 95)( 46, 52)( 47,107)( 48, 72)( 50, 55)( 51,111)( 54, 75)( 57, 63)
        ( 58,119)( 59, 79)( 61, 66)( 62,123)( 65, 70)( 68, 83)( 69,124)( 73,103)( 74, 99)( 77, 82)( 78,112)( 80,115)
        ( 81,127)( 84, 90)( 85,134)( 86,121)( 88, 94)( 89,138)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)
        (104,110)(105,153)(108,114)(109,154)(113,126)(116,122)(117,137)(118,130)(120,125)(128,133)(129,155)(131,157)
        (132,151)(135,141)(136,158)(139,144)(140,159)(143,148)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 79)( 28, 52)( 31, 56)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 84)( 41, 72)( 42, 87)( 45, 51)( 46, 95)( 47, 73)( 49, 55)( 50, 99)( 53, 75)( 54,100)( 57, 63)
        ( 58,111)( 59, 80)( 61, 67)( 62,114)( 65, 71)( 66,118)( 69, 83)( 70,121)( 74, 91)( 76, 82)( 77,133)( 78,103)
        ( 81,107)( 85, 90)( 86,125)( 88, 94)( 89,138)( 92, 98)( 93,141)( 96,102)( 97,145)(101,106)(104,129)(105,146)
        (108,113)(109,153)(110,134)(112,117)(115,120)(116,154)(119,124)(122,128)(123,155)(126,137)(127,151)(130,136)
        (131,159)(132,147)(135,149)(139,144)(140,157)(142,148)(143,158)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 51)( 30, 35)( 33, 55)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 50)( 46, 99)( 47, 72)( 49, 54)( 52, 75)( 53,100)( 56, 62)( 57,111)
        ( 58, 83)( 60, 66)( 61,115)( 64, 70)( 65,118)( 68, 87)( 69,122)( 73, 95)( 74, 91)( 76, 82)( 77,138)( 78,103)
        ( 81, 86)( 84,107)( 85,139)( 89, 94)( 90,126)( 92,130)( 93,146)( 96,102)( 97,105)( 98,131)(101,106)(104,134)
        (108,114)(109,153)(110,142)(112,117)(113,157)(116,121)(119,125)(120,158)(123,129)(124,159)(127,145)(128,155)
        (132,137)(133,147)(135,141)(136,152)(140,144)(143,149)(148,151)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 51)( 30, 35)( 33, 55)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 50)( 46, 99)( 47, 72)( 49, 54)( 52, 75)( 53,100)( 56, 62)( 57,111)
        ( 58, 83)( 60, 66)( 61,115)( 64, 70)( 65,119)( 68, 87)( 69,122)( 73, 95)( 74, 91)( 76, 82)( 77,138)( 78,103)
        ( 81, 86)( 84,107)( 85,139)( 89, 94)( 90,126)( 92,130)( 93,146)( 96,102)( 97,105)( 98,131)(101,106)(104,134)
        (108,114)(109,153)(110,142)(112,118)(113,157)(116,121)(117,158)(120,125)(123,129)(124,159)(127,145)(128,155)
        (132,137)(133,147)(135,141)(136,152)(140,144)(143,149)(148,151)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,105)( 50, 56)( 51,112)( 52, 73)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 68)( 63, 99)( 64, 92)( 67, 71)( 70, 96)( 74,108)( 75,106)( 77, 83)( 78,135)
        ( 79,123)( 81, 87)( 82,139)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93,127)( 94,149)( 97,103)( 98,128)(101,107)
        (102,111)(109,115)(110,129)(113,119)(114,154)(117,122)(118,157)(121,126)(124,131)(125,158)(130,153)(132,138)
        (133,151)(134,159)(136,141)(137,147)(140,144)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,134)( 64, 92)( 66, 72)( 67, 99)( 71, 96)( 75,111)( 76,108)( 78, 83)
        ( 79,126)( 81, 87)( 82,139)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93,130)( 94,149)( 97,102)( 98,135)(101,106)
        (104,110)(105,136)(109,132)(112,118)(113,150)(114,133)(116,122)(117,153)(120,125)(121,157)(124,129)(127,138)
        (128,158)(131,137)(140,145)(141,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 70)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 72)( 67,135)( 71, 96)( 75,108)( 76,105)( 78, 83)
        ( 79,124)( 81, 87)( 82,139)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93,127)( 94,149)( 98,103)( 99,136)(101,107)
        (102,133)(106,129)(109,115)(110,150)(111,130)(113,119)(114,153)(117,123)(118,157)(121,126)(122,158)(125,138)
        (128,134)(132,137)(140,145)(141,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 72)( 67,128)( 70, 96)( 71,131)( 75,100)( 76, 98)( 78, 83)
        ( 79,142)( 80,115)( 82, 87)( 85, 91)( 86,143)( 89, 95)( 90,146)( 93,119)( 94,149)( 99,134)(101,107)(102,121)
        (103,135)(105,111)(106,154)(109,114)(110,157)(113,118)(116,138)(117,158)(120,126)(122,153)(124,130)(125,136)
        (129,133)(132,137)(139,145)(140,151)(141,159)(144,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 96)( 71,131)( 75,100)( 76, 98)( 78, 83)
        ( 79,142)( 80,116)( 82, 87)( 85, 91)( 86,143)( 89, 95)( 90,146)( 93,119)( 94,149)( 99,134)(101,107)(102,121)
        (103,135)(105,111)(106,154)(109,115)(110,157)(113,118)(114,158)(117,138)(120,126)(122,153)(124,129)(125,136)
        (128,133)(132,137)(139,145)(140,151)(141,159)(144,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 71)( 40, 46)( 41, 92)( 44, 75)( 45, 95)( 48, 54)( 49,103)( 50, 76)( 52, 58)( 53,107)( 56, 79)
        ( 57,111)( 60, 66)( 61,122)( 62, 87)( 64, 70)( 65,123)( 68, 74)( 69,126)( 72, 91)( 73,127)( 77, 99)( 78, 96)
        ( 81, 86)( 82,114)( 84, 90)( 85,139)( 88,118)( 89,142)( 93, 98)( 94,130)( 97,134)(100,106)(101,150)(102,135)
        (104,110)(105,153)(108,113)(109,157)(112,117)(115,138)(116,158)(119,125)(120,132)(121,146)(124,129)(128,133)
        (131,137)(136,147)(140,145)(141,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,126)( 63, 84)( 65, 71)( 66,127)( 70, 88)( 74,103)( 75,100)( 78, 83)( 79,119)
        ( 81, 87)( 82,135)( 85,122)( 86,138)( 89, 94)( 90,146)( 91,128)( 93, 98)( 96,102)( 97,147)(101,130)(104,110)
        (105,150)(106,131)(108,114)(109,153)(112,118)(113,157)(116,121)(117,158)(120,134)(123,129)(124,149)(125,142)
        (132,143)(133,148)(136,141)(137,159)(139,145)(140,155)(144,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 75)( 31, 63)( 33, 39)( 34, 76)
        ( 37, 43)( 38, 79)( 41, 47)( 42, 83)( 45, 51)( 46, 87)( 49, 67)( 50, 91)( 53, 59)( 54,102)( 55, 68)( 57, 62)
        ( 58,106)( 61, 66)( 64, 71)( 65,107)( 69, 98)( 70, 95)( 72, 78)( 73,122)( 74,110)( 77, 82)( 80, 86)( 81,123)
        ( 84, 90)( 85,126)( 88, 94)( 89,130)( 92, 97)( 93,134)( 96,114)( 99,105)(100,142)(101,115)(103,109)(104,145)
        (108,113)(111,118)(112,146)(116,138)(117,135)(119,125)(120,158)(121,149)(124,129)(127,133)(128,159)(131,137)
        (132,156)(136,153)(139,144)(140,151)(141,154)(143,148)(147,152)(150,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 75)( 31, 64)( 33, 39)( 34, 76)
        ( 37, 43)( 38, 79)( 41, 47)( 42, 83)( 45, 51)( 46, 87)( 49, 68)( 50, 91)( 53, 59)( 54,102)( 55, 69)( 57, 63)
        ( 58,106)( 61, 67)( 62,110)( 65, 72)( 66,114)( 70, 98)( 71, 95)( 73, 78)( 74,118)( 77, 82)( 80, 86)( 81,119)
        ( 84, 90)( 85,126)( 88, 94)( 89,130)( 92, 97)( 93,134)( 96,122)( 99,105)(100,142)(101,123)(103,109)(104,145)
        (107,113)(108,146)(111,117)(112,149)(115,121)(116,153)(120,129)(124,138)(125,135)(127,133)(128,154)(131,137)
        (132,160)(136,157)(139,144)(140,151)(141,158)(143,148)(147,152)(150,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 83)( 34, 56)
        ( 35, 87)( 38, 43)( 39, 98)( 40, 68)( 42, 47)( 45, 72)( 46, 99)( 50, 55)( 51, 73)( 53, 76)( 54,107)( 57, 63)
        ( 58,118)( 59, 90)( 61, 67)( 62,122)( 65, 71)( 66,123)( 69, 94)( 70,126)( 74,106)( 75,102)( 77, 82)( 78,138)
        ( 79,110)( 81, 86)( 84, 89)( 85,139)( 88, 93)( 91,114)( 92,140)( 95,101)( 96,146)( 97,127)(100,105)(103,130)
        (104,147)(108,113)(109,131)(111,134)(112,154)(115,121)(116,157)(117,136)(119,125)(120,145)(124,129)(128,142)
        (132,153)(133,150)(135,141)(137,155)(143,149)(144,158)(148,152)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 54)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 91)( 40, 65)( 42, 48)( 43, 95)( 46, 69)( 47, 98)( 50, 56)( 51,110)( 52, 70)( 55, 73)
        ( 58, 64)( 59,118)( 60, 85)( 63, 68)( 66, 88)( 67,119)( 71,106)( 72,102)( 74, 79)( 75,111)( 77, 83)( 78,131)
        ( 81, 87)( 82,134)( 86,114)( 89, 94)( 90,122)( 92, 97)( 93,139)( 96,101)( 99,105)(100,140)(103,126)(104,142)
        (107,113)(108,150)(109,127)(112,130)(115,121)(116,157)(117,135)(120,125)(123,138)(124,158)(128,149)(129,146)
        (132,137)(133,151)(136,153)(141,145)(143,148)(144,159)(147,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 54)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 92)( 40, 68)( 42, 48)( 43, 95)( 46, 72)( 47, 98)( 50, 56)( 51,110)( 52, 73)( 55, 76)
        ( 58, 63)( 59,118)( 60, 88)( 62, 67)( 65, 71)( 66,119)( 69, 91)( 70,122)( 74,106)( 75,102)( 77, 82)( 78,111)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 89,114)( 93, 97)( 94,126)( 96,101)( 99,105)(100,127)(103,130)(104,142)
        (107,113)(108,150)(109,131)(112,134)(115,121)(116,157)(117,139)(120,125)(123,129)(124,158)(128,145)(132,149)
        (133,146)(136,141)(137,151)(140,153)(143,148)(144,159)(147,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 45)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 81)( 41, 47)( 42, 92)( 43, 65)( 46, 68)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 88)( 67, 84)( 70, 96)( 71, 93)( 73, 79)( 74,130)( 75,114)( 77, 83)( 78,134)
        ( 82, 87)( 85,118)( 86,135)( 89, 95)( 90,142)( 91,119)( 94,122)( 97,102)( 98,149)( 99,123)(101,106)(104,110)
        (105,150)(108,113)(109,153)(112,117)(115,126)(116,154)(120,141)(121,138)(124,145)(125,143)(127,133)(128,147)
        (129,155)(131,137)(132,160)(136,140)(139,157)(144,158)(146,152)(148,159)(151,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 45)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 81)( 41, 47)( 42, 92)( 43, 65)( 46, 68)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 88)( 67, 84)( 70, 96)( 71, 93)( 73, 79)( 74,129)( 75,115)( 77, 83)( 78,133)
        ( 82, 87)( 85,118)( 86,134)( 89, 95)( 90,141)( 91,119)( 94,121)( 97,102)( 98,149)( 99,122)(101,106)(104,110)
        (105,150)(108,114)(109,153)(112,117)(113,154)(116,125)(120,137)(123,145)(124,142)(126,132)(127,147)(128,155)
        (130,136)(131,159)(135,140)(138,144)(139,160)(143,157)(146,152)(148,158)(151,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 73)( 31, 64)( 33, 39)( 34, 76)
        ( 37, 43)( 38, 79)( 41, 47)( 42, 83)( 45, 51)( 46, 87)( 49, 68)( 50, 91)( 53, 59)( 54,102)( 55, 69)( 57, 63)
        ( 58,106)( 61, 67)( 62,110)( 65, 72)( 66,114)( 70, 98)( 71, 95)( 74, 78)( 75,118)( 77, 82)( 80, 86)( 81,119)
        ( 84, 90)( 85,126)( 88, 94)( 89,130)( 92, 97)( 93,134)( 96,122)( 99,105)(100,142)(101,123)(103,109)(104,143)
        (107,113)(108,146)(111,117)(112,149)(115,121)(116,153)(120,129)(124,138)(125,135)(127,133)(128,154)(131,137)
        (132,160)(136,157)(139,145)(140,151)(141,158)(144,148)(147,152)(150,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 41)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 44)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 42, 47)( 43, 65)( 45, 68)( 46, 92)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 72)( 62,112)( 66, 91)( 67, 87)( 70, 99)( 71, 95)( 73, 79)( 74,130)( 75,115)( 77, 83)( 78,134)
        ( 81, 86)( 82,138)( 85, 90)( 88,118)( 89,139)( 93, 98)( 94,119)( 96,122)( 97,146)(100,106)(101,153)(102,123)
        (104,110)(105,154)(108,114)(109,129)(113,117)(116,126)(120,145)(121,142)(124,149)(125,147)(127,133)(128,155)
        (131,137)(132,151)(135,141)(136,160)(140,144)(143,157)(148,158)(150,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 76)( 28, 53)( 30, 35)( 33, 56)( 34, 77)
        ( 37, 43)( 38, 87)( 39, 65)( 41, 47)( 42, 91)( 45, 68)( 46, 95)( 49, 55)( 50,107)( 51, 69)( 54, 72)( 57, 63)
        ( 58,115)( 59, 80)( 61, 67)( 62,119)( 66, 84)( 70,103)( 71, 99)( 73, 79)( 74,131)( 75,108)( 78, 83)( 81,111)
        ( 82,132)( 85, 90)( 86,120)( 88, 94)( 89,135)( 92, 98)( 93,138)( 96,102)( 97,139)(100,123)(101,142)(104,110)
        (105,150)(106,124)(109,127)(112,118)(113,153)(114,129)(116,122)(117,157)(121,134)(125,149)(126,146)(128,133)
        (130,151)(136,141)(137,158)(140,145)(143,148)(144,159)(147,155)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 53)( 22, 40)( 23, 36)( 26, 48)( 27, 45)( 29, 35)( 30, 71)( 31, 56)( 33, 39)( 34, 75)
        ( 37, 60)( 38, 79)( 41, 47)( 42, 91)( 43, 61)( 46, 64)( 49, 55)( 50, 99)( 51, 65)( 54, 59)( 57, 68)( 58,100)
        ( 62, 87)( 63, 83)( 66, 95)( 67, 92)( 69, 74)( 70,103)( 72, 78)( 73,115)( 76, 82)( 77,118)( 80, 86)( 81,122)
        ( 84,107)( 85,126)( 88, 94)( 89,134)( 90,108)( 93,110)( 96,102)( 97,142)( 98,111)(101,106)(104,114)(105,143)
        (109,130)(112,138)(113,135)(116,121)(117,146)(119,125)(120,147)(123,129)(124,154)(127,133)(128,158)(131,137)
        (132,153)(136,150)(139,145)(140,156)(141,151)(144,149)(148,157)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 51)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 47)( 26, 44)( 28, 34)( 29, 67)( 30, 52)( 32, 38)( 33, 71)( 36, 55)
        ( 37, 75)( 40, 46)( 41, 87)( 42, 56)( 45, 59)( 48, 54)( 49, 95)( 50, 60)( 53, 63)( 57, 83)( 58, 79)( 61, 91)
        ( 62, 88)( 64, 70)( 65,110)( 66, 96)( 68, 74)( 69,113)( 72, 78)( 73,117)( 76, 82)( 77,121)( 80, 99)( 81,125)
        ( 84, 90)( 85,133)( 86,100)( 89,102)( 92, 98)( 93,141)( 94,103)( 97,106)(101,129)(104,137)(105,134)(107,112)
        (108,153)(109,142)(111,116)(114,120)(115,154)(118,124)(119,155)(122,128)(123,151)(126,132)(127,157)(130,136)
        (131,148)(135,145)(138,144)(139,159)(140,146)(143,149)(147,158)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 51)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 47)( 26, 44)( 28, 34)( 29, 67)( 30, 52)( 32, 38)( 33, 71)( 36, 55)
        ( 37, 75)( 40, 46)( 41, 87)( 42, 56)( 45, 59)( 48, 54)( 49, 95)( 50, 60)( 53, 63)( 57, 83)( 58, 79)( 61, 91)
        ( 62, 88)( 64, 70)( 65,110)( 66, 96)( 68, 74)( 69,114)( 72, 78)( 73,117)( 76, 82)( 77,121)( 80, 99)( 81,125)
        ( 84, 90)( 85,133)( 86,100)( 89,102)( 92, 98)( 93,141)( 94,103)( 97,106)(101,129)(104,137)(105,134)(107,113)
        (108,153)(109,142)(111,116)(112,154)(115,120)(118,124)(119,155)(122,128)(123,151)(126,132)(127,157)(130,136)
        (131,148)(135,145)(138,144)(139,159)(140,146)(143,149)(147,158)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 74)( 27, 52)( 29, 35)( 30, 78)( 33, 56)( 34, 82)
        ( 37, 43)( 38, 91)( 39, 67)( 41, 47)( 42, 94)( 45, 51)( 46, 98)( 49, 55)( 50,102)( 53, 70)( 54,106)( 57, 63)
        ( 58, 96)( 59, 86)( 61, 66)( 62, 93)( 65, 69)( 68, 90)( 71, 77)( 72,118)( 73,110)( 75, 81)( 76,119)( 79, 85)
        ( 80,122)( 83, 89)( 84,126)( 87,100)( 88,130)( 92, 97)( 95,101)( 99,105)(103,109)(104,131)(107,113)(108,134)
        (111,114)(112,138)(115,121)(116,149)(117,142)(120,125)(123,129)(124,150)(127,133)(128,153)(132,137)(135,141)
        (136,154)(139,145)(140,157)(143,146)(144,158)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 55)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,115)( 61, 67)( 62,126)( 63, 88)( 66, 71)( 69, 92)( 70,127)( 74,111)( 75,107)( 77, 83)( 78,138)
        ( 79,118)( 81, 87)( 82,142)( 86, 91)( 89,122)( 90,143)( 93, 98)( 94,128)( 96,102)( 97,124)(100,106)(101,147)
        (104,110)(105,150)(108,130)(109,154)(113,117)(114,131)(116,121)(119,134)(120,132)(123,129)(125,146)(133,158)
        (135,141)(136,156)(137,159)(139,145)(140,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,122)( 61, 67)( 62,133)( 63, 88)( 65, 71)( 66,134)( 69, 75)( 70,137)( 73, 92)( 74,138)( 78,111)
        ( 79,108)( 82, 87)( 83,125)( 85, 91)( 86,146)( 89,129)( 90,149)( 93, 99)( 94,131)( 95,139)( 97,103)( 98,154)
        (101,107)(102,157)(105,110)(106,158)(109,141)(112,118)(113,148)(114,142)(116,121)(117,127)(120,124)(123,128)
        (126,145)(130,136)(132,153)(135,140)(143,151)(144,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 67)( 42, 48)( 43, 97)( 46, 69)( 47,101)( 50, 56)( 51,112)( 52, 70)( 54, 60)
        ( 55,116)( 58, 73)( 59,119)( 62, 68)( 63, 96)( 64, 89)( 71,108)( 72,105)( 74, 80)( 75,138)( 76,122)( 78, 84)
        ( 79,142)( 82, 88)( 83,145)( 86, 92)( 87,146)( 90,126)( 91,149)( 94,100)( 95,127)( 98,104)( 99,157)(102,107)
        (103,158)(106,130)(109,115)(110,137)(111,131)(113,118)(114,124)(117,121)(120,125)(123,134)(128,160)(129,153)
        (132,154)(133,159)(135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)(119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 76)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 54)( 50,110)( 51, 72)( 53, 58)( 56, 75)
        ( 57,111)( 60, 66)( 61,122)( 62, 83)( 64, 70)( 65, 90)( 69, 87)( 73,107)( 74,103)( 77, 82)( 78,114)( 80, 86)
        ( 81,131)( 84,118)( 85,134)( 88, 94)( 89,123)( 92, 98)( 93,142)( 96,102)( 97,146)(100,106)(101,150)(104,126)
        (105,154)(108,113)(109,127)(112,117)(115,130)(116,128)(119,125)(120,144)(121,138)(124,145)(129,158)(132,137)
        (133,159)(135,141)(136,156)(139,148)(140,152)(143,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 69)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,114)( 61, 67)( 62,125)( 63, 83)( 65, 71)( 66,126)( 70, 87)( 74,103)( 77, 82)( 78,118)( 80, 86)
        ( 81,130)( 84,121)( 85,133)( 88, 94)( 89,141)( 90,127)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)
        (104,110)(105,153)(108,113)(109,157)(112,117)(115,120)(116,158)(119,129)(122,128)(123,144)(124,137)(131,136)
        (132,159)(134,140)(135,155)(138,147)(139,151)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 51)( 47,106)( 48, 73)( 50, 55)( 53, 76)( 54,107)( 57, 63)
        ( 58,118)( 59, 81)( 61, 67)( 62,122)( 65, 71)( 66,123)( 69, 84)( 70,126)( 74,103)( 75, 99)( 77, 83)( 78,138)
        ( 79,110)( 82,114)( 85, 91)( 86,146)( 87,127)( 89, 95)( 90,150)( 93, 98)( 94,154)( 97,102)(100,130)(101,155)
        (104,109)(105,131)(108,113)(111,134)(112,132)(115,121)(116,144)(117,139)(119,125)(120,145)(124,129)(128,142)
        (133,158)(135,141)(136,152)(137,159)(140,148)(143,149)(147,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,107)( 54, 76)( 55,110)
        ( 58, 64)( 59,121)( 60, 81)( 62, 68)( 63,122)( 66, 72)( 67,125)( 70, 84)( 71,129)( 75, 99)( 77, 83)( 78,137)
        ( 79,114)( 82,117)( 85, 91)( 86,145)( 87,130)( 89, 95)( 90,149)( 93, 98)( 94,153)( 97,102)(100,106)(101,154)
        (104,109)(105,157)(108,113)(111,116)(112,158)(115,133)(118,124)(119,143)(120,138)(123,128)(126,132)(127,144)
        (131,141)(134,140)(135,151)(136,159)(139,147)(142,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 51)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,107)( 57, 63)
        ( 58,118)( 59, 81)( 61, 67)( 62,122)( 65, 71)( 66,123)( 69, 84)( 70,126)( 74,103)( 75, 99)( 77, 83)( 78,137)
        ( 79,111)( 82,114)( 85, 91)( 86,145)( 87,127)( 89, 95)( 90,149)( 93, 98)( 94,153)( 97,102)(100,130)(101,154)
        (105,110)(106,131)(108,113)(109,158)(112,133)(115,121)(116,143)(117,138)(119,125)(120,144)(124,129)(128,141)
        (132,157)(134,140)(135,151)(136,159)(139,147)(142,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 55)( 51,114)( 52, 73)( 54, 59)
        ( 57, 76)( 58,115)( 61, 67)( 62,126)( 63, 88)( 65, 71)( 66,127)( 70, 92)( 74,111)( 75,107)( 78, 83)( 79,118)
        ( 81, 87)( 82,135)( 85, 91)( 86,138)( 89,122)( 90,142)( 93, 98)( 94,146)( 95,128)( 97,102)(100,106)(101,147)
        (104,110)(105,150)(108,130)(109,154)(112,117)(113,131)(116,121)(119,134)(120,132)(123,129)(124,149)(125,143)
        (133,158)(136,141)(137,159)(139,145)(140,156)(144,152)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 51)( 30, 35)( 33, 55)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 50)( 46, 98)( 47, 72)( 49, 54)( 52, 75)( 53, 99)( 56, 62)( 57,110)
        ( 58, 83)( 60, 66)( 61,114)( 64, 70)( 65,115)( 68, 87)( 69,118)( 73, 95)( 74, 91)( 76, 82)( 77,134)( 78,102)
        ( 81, 86)( 84,106)( 85,135)( 89, 94)( 90,122)( 92,126)( 93,143)( 96,101)( 97,127)(100,105)(103,130)(104,128)
        (107,113)(108,153)(109,138)(111,117)(112,154)(116,121)(119,125)(120,155)(123,142)(124,151)(129,146)(131,137)
        (132,158)(133,147)(136,141)(139,149)(140,159)(144,148)(145,157)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,119)( 52, 74)( 54, 60)
        ( 55,123)( 58, 77)( 59,126)( 62, 68)( 63,137)( 64, 93)( 67, 72)( 70, 97)( 71,138)( 75,115)( 76,112)( 78, 84)
        ( 79,153)( 80,129)( 82, 88)( 83,157)( 86, 92)( 87,158)( 90, 96)( 91,159)( 94,133)( 95,155)( 98,103)( 99,106)
        (100,141)(102,107)(105,111)(109,114)(110,142)(113,145)(116,122)(117,152)(118,146)(120,125)(121,131)(124,128)
        (127,132)(130,149)(134,140)(135,147)(136,151)(139,144)(143,148)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59,126)( 60, 81)( 62, 68)( 63,129)( 66, 72)( 67,133)( 70, 85)( 71,134)( 75,104)( 76,101)( 79, 84)
        ( 80,118)( 82,122)( 83,142)( 86, 92)( 87,149)( 88,135)( 90, 96)( 91,153)( 94,100)( 95,157)( 98,103)( 99,158)
        (102,137)(105,111)(106,144)(107,138)(109,114)(110,120)(113,117)(116,121)(119,141)(123,128)(124,151)(125,145)
        (127,132)(130,136)(131,152)(139,147)(140,159)(143,148)(146,155)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 85)( 39, 44)( 40, 68)( 42, 72)( 43, 93)( 46, 51)( 47, 73)( 49, 55)( 50,101)( 53, 76)( 54,104)( 57, 63)
        ( 58,115)( 59, 88)( 61, 67)( 62,119)( 65, 71)( 66,120)( 69, 92)( 70,123)( 74,100)( 75, 96)( 77, 83)( 78,139)
        ( 79,107)( 81, 87)( 82,143)( 86, 91)( 89,111)( 90,144)( 94, 99)( 95,127)( 97,131)( 98,147)(102,106)(103,132)
        (105,110)(108,135)(109,133)(112,118)(113,153)(114,141)(116,122)(117,157)(121,126)(124,130)(125,158)(128,146)
        (129,159)(134,150)(136,142)(137,156)(138,151)(140,145)(148,152)(149,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 85)( 39, 44)( 40, 68)( 42, 72)( 43, 93)( 46, 51)( 47,103)( 48, 73)( 50, 55)( 53, 76)( 54,104)( 57, 63)
        ( 58,115)( 59, 88)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 92)( 70,124)( 74,100)( 75, 96)( 77, 83)( 78,139)
        ( 79,107)( 81, 87)( 82,143)( 86, 91)( 89,111)( 90,144)( 94, 99)( 95,127)( 97,131)( 98,147)(101,106)(102,132)
        (105,110)(108,135)(109,133)(112,118)(113,153)(114,141)(116,122)(117,157)(120,126)(121,158)(125,130)(128,146)
        (129,159)(134,150)(136,142)(137,156)(138,151)(140,145)(148,152)(149,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 69)( 42, 48)( 43, 96)( 46, 73)( 47,100)( 50, 56)( 51,108)( 52, 74)( 54, 60)
        ( 55,112)( 58, 76)( 59,115)( 62, 68)( 63,126)( 64, 88)( 67, 72)( 70, 92)( 71,127)( 75,104)( 77, 83)( 78,138)
        ( 79,119)( 81, 87)( 82,142)( 86, 91)( 89,122)( 90,143)( 94, 99)( 95,130)( 97,103)( 98,146)(101,107)(102,147)
        (105,111)(106,149)(109,114)(110,153)(113,118)(116,121)(117,154)(120,134)(123,129)(124,157)(125,140)(128,133)
        (131,145)(132,158)(135,141)(136,160)(137,155)(139,144)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43, 97)( 46, 72)( 47,100)( 50, 55)( 51, 73)( 53, 59)( 54,109)
        ( 57, 76)( 58,112)( 61, 67)( 62,123)( 63, 88)( 66, 71)( 69, 92)( 70,124)( 74,108)( 75,104)( 77, 83)( 78,138)
        ( 79,116)( 81, 87)( 82,142)( 86, 91)( 89,119)( 90,143)( 93, 99)( 94,146)( 95,127)( 98,103)(101,107)(102,147)
        (105,131)(106,149)(110,115)(111,132)(113,118)(114,154)(117,134)(120,126)(121,157)(122,140)(125,130)(128,145)
        (129,158)(133,153)(135,141)(136,160)(137,155)(139,144)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43, 98)( 46, 76)( 47,100)( 50, 56)( 51,111)( 52, 77)( 54, 59)
        ( 55,115)( 58, 80)( 61, 67)( 62,123)( 63, 92)( 65, 71)( 66,124)( 69, 75)( 70,127)( 73, 96)( 74,131)( 78,108)
        ( 79,104)( 81, 87)( 82,142)( 83,116)( 85, 91)( 86,146)( 90, 95)( 93,119)( 94,147)( 99,103)(101,107)(102,132)
        (105,135)(106,149)(109,114)(110,136)(112,118)(113,154)(117,138)(120,126)(121,157)(122,144)(125,130)(128,134)
        (129,158)(133,152)(137,153)(139,145)(140,160)(141,155)(143,148)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 76)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 54)( 50, 72)( 52, 58)( 53,108)( 56, 75)
        ( 57,111)( 60, 66)( 61,122)( 62, 83)( 64, 70)( 65,123)( 69, 87)( 73,107)( 74,103)( 77, 82)( 78,115)( 80, 86)
        ( 81,130)( 84,118)( 85,133)( 88, 94)( 89,141)( 90,124)( 92, 98)( 93,145)( 96,102)( 97,146)(100,106)(101,149)
        (104,126)(105,153)(109,114)(110,127)(112,117)(113,158)(116,129)(119,125)(120,144)(121,137)(128,157)(131,136)
        (132,159)(134,140)(135,155)(138,143)(139,151)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,129)( 63, 84)( 65, 71)( 66,133)( 70, 88)( 74,107)( 75,104)( 78, 83)( 79,121)
        ( 81, 87)( 82,142)( 85,125)( 86,145)( 89, 95)( 90,150)( 91,134)( 93, 99)( 94,151)( 97,103)( 98,153)(101,106)
        (102,157)(105,137)(108,114)(109,144)(110,138)(112,117)(113,123)(116,120)(119,124)(122,141)(126,132)(127,159)
        (128,146)(130,136)(131,155)(135,149)(139,147)(140,158)(143,148)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,136)( 70, 76)( 71,140)( 74,100)( 75,143)
        ( 79,120)( 80,116)( 82, 88)( 83,146)( 84,118)( 86, 91)( 87,150)( 90, 95)( 93, 99)( 94,151)( 97,106)( 98,154)
        (101,107)(103,139)(105,111)(109,115)(110,155)(113,119)(114,149)(117,133)(121,127)(122,158)(123,134)(125,131)
        (126,159)(129,135)(130,160)(137,142)(138,144)(141,145)(147,153)(148,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,136)( 64, 93)( 66, 72)( 67,140)( 70, 76)( 71,144)( 74, 96)( 75,148)
        ( 79,116)( 80,112)( 82, 88)( 83,154)( 84,114)( 87, 92)( 90, 95)( 91,155)( 94,132)( 97,103)( 98,142)( 99,151)
        (101,107)(102,138)(105,111)(106,134)(109,115)(110,157)(113,129)(117,123)(118,158)(119,130)(121,127)(122,159)
        (125,131)(126,160)(133,139)(135,156)(137,143)(141,147)(145,150)(146,152)(149,153),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,136)( 64, 93)( 66, 72)( 67,140)( 70, 76)( 71,144)( 74, 96)( 75,148)
        ( 79,116)( 80,112)( 82, 87)( 83,154)( 84,114)( 86, 91)( 89, 95)( 90,155)( 94,132)( 97,103)( 98,142)( 99,151)
        (101,107)(102,138)(105,111)(106,134)(109,115)(110,157)(113,129)(117,123)(118,158)(119,130)(121,127)(122,159)
        (125,131)(126,160)(133,139)(135,156)(137,143)(141,147)(145,150)(146,152)(149,153),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,124)( 60, 82)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 85)( 71,136)( 75,104)( 76,100)( 78, 84)
        ( 79,144)( 80,102)( 83,120)( 86, 92)( 87,122)( 88,140)( 90, 95)( 91,146)( 94, 99)( 97,103)( 98,147)(101,117)
        (105,111)(106,148)(107,118)(109,115)(110,149)(113,119)(114,150)(121,127)(123,145)(125,131)(126,141)(129,135)
        (130,151)(133,139)(134,155)(137,143)(138,158)(142,154)(152,157)(153,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,115)( 51, 69)( 53, 59)( 54,119)
        ( 57, 72)( 58,122)( 61, 67)( 62,134)( 63, 88)( 66, 92)( 70,111)( 71,107)( 73, 79)( 74,142)( 75,126)( 77, 83)
        ( 78,146)( 81, 87)( 82,147)( 85, 91)( 86,150)( 89,130)( 90,153)( 93, 98)( 94,135)( 96,102)( 97,136)(100,106)
        (101,132)(104,110)(105,158)(108,114)(109,141)(112,118)(113,128)(116,121)(117,124)(120,125)(123,129)(127,138)
        (131,137)(133,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,115)( 51, 69)( 53, 59)( 54,119)
        ( 57, 72)( 58,122)( 61, 67)( 62,134)( 63, 88)( 66, 92)( 70,111)( 71,107)( 73, 79)( 74,142)( 75,126)( 77, 83)
        ( 78,146)( 81, 87)( 82,149)( 85, 91)( 86,150)( 89,130)( 90,153)( 93, 98)( 94,135)( 96,102)( 97,136)(100,106)
        (101,132)(104,110)(105,158)(108,114)(109,141)(112,118)(113,128)(116,121)(117,124)(120,125)(123,129)(127,138)
        (131,137)(133,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,119)( 52, 73)( 54, 60)
        ( 55,120)( 58, 76)( 59,123)( 62, 68)( 63, 99)( 64, 92)( 67, 71)( 70, 96)( 74,115)( 75,111)( 77, 83)( 78,142)
        ( 79,127)( 81, 87)( 82,146)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,131)( 94,153)( 97,102)( 98,132)(101,106)
        (104,110)(105,133)(108,114)(109,158)(112,135)(113,141)(116,122)(117,125)(118,136)(121,126)(124,130)(128,138)
        (129,137)(134,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,119)( 52, 73)( 54, 60)
        ( 55,120)( 58, 76)( 59,123)( 62, 68)( 63, 99)( 64, 92)( 67, 71)( 70, 96)( 74,115)( 75,111)( 77, 83)( 78,142)
        ( 79,127)( 81, 87)( 82,146)( 85, 91)( 86,149)( 89, 95)( 90,150)( 93,131)( 94,153)( 97,102)( 98,132)(101,106)
        (104,110)(105,133)(108,114)(109,158)(112,135)(113,141)(116,122)(117,125)(118,136)(121,126)(124,130)(128,138)
        (129,137)(134,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 66)( 62,130)( 63, 95)( 65, 70)( 68, 74)( 69,131)( 72, 99)( 73,132)( 77,111)( 78,107)
        ( 80, 86)( 81,142)( 82,122)( 84, 90)( 85,146)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,126)( 97,153)(101,106)
        (102,128)(104,110)(105,158)(108,134)(109,141)(113,117)(114,135)(116,121)(119,125)(120,136)(123,138)(124,137)
        (127,133)(129,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 66)( 62,130)( 63, 95)( 65, 70)( 68, 74)( 69,131)( 72, 99)( 73,132)( 77,111)( 78,107)
        ( 80, 86)( 81,142)( 82,122)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,150)( 96,126)( 97,153)(101,106)
        (102,128)(104,110)(105,158)(108,134)(109,141)(113,117)(114,135)(116,121)(119,125)(120,136)(123,138)(124,137)
        (127,133)(129,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,118)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,122)( 62, 67)( 63, 99)( 64, 92)( 66, 71)( 70, 96)( 74,115)( 75,111)( 77, 83)( 78,142)
        ( 79,126)( 81, 87)( 82,146)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,130)( 94,153)( 97,102)( 98,131)(101,106)
        (104,110)(105,132)(108,114)(109,158)(112,134)(113,141)(116,121)(117,135)(120,125)(123,129)(124,136)(127,138)
        (128,137)(133,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,118)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,122)( 62, 67)( 63, 99)( 64, 92)( 66, 71)( 70, 96)( 74,115)( 75,111)( 77, 83)( 78,142)
        ( 79,126)( 81, 87)( 82,146)( 85, 91)( 86,149)( 89, 95)( 90,150)( 93,130)( 94,153)( 97,102)( 98,131)(101,106)
        (104,110)(105,132)(108,114)(109,158)(112,134)(113,141)(116,121)(117,135)(120,125)(123,129)(124,136)(127,138)
        (128,137)(133,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 70)( 66,131)( 69, 74)( 72, 99)( 73,132)( 77,111)( 78,107)
        ( 80, 86)( 81,142)( 82,122)( 84, 90)( 85,146)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,126)( 97,153)(101,106)
        (102,128)(104,110)(105,158)(108,134)(109,141)(113,118)(114,135)(116,121)(117,136)(120,125)(123,138)(124,137)
        (127,133)(129,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 70)( 66,131)( 69, 74)( 72, 99)( 73,132)( 77,111)( 78,107)
        ( 80, 86)( 81,142)( 82,122)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,150)( 96,126)( 97,153)(101,106)
        (102,128)(104,110)(105,158)(108,134)(109,141)(113,118)(114,135)(116,121)(117,136)(120,125)(123,138)(124,137)
        (127,133)(129,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 70)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 56)( 51,115)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 71)( 67, 99)( 74,112)( 75,108)( 77, 83)( 78,142)
        ( 79,123)( 81, 87)( 82,146)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,127)( 94,153)( 97,103)( 98,132)(101,107)
        (102,129)(105,111)(106,158)(109,134)(110,141)(113,118)(114,135)(116,122)(117,136)(121,126)(124,138)(125,137)
        (128,133)(130,157)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 70)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 56)( 51,115)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,120)( 62, 68)( 63,131)( 64, 92)( 66, 71)( 67, 99)( 74,112)( 75,108)( 77, 83)( 78,142)
        ( 79,123)( 81, 87)( 82,146)( 85, 91)( 86,149)( 89, 95)( 90,150)( 93,127)( 94,153)( 97,103)( 98,132)(101,107)
        (102,129)(105,111)(106,158)(109,134)(110,141)(113,118)(114,135)(116,122)(117,136)(121,126)(124,138)(125,137)
        (128,133)(130,157)(139,145)(140,159)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,124)( 58, 80)( 59,127)( 62, 67)( 63,139)( 64, 93)( 66, 71)( 69, 75)( 70,140)( 73, 96)( 74,143)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,131)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,135)( 97,103)( 98,137)( 99,144)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,119)(114,148)(117,123)(118,133)(121,126)(122,129)
        (125,130)(128,134)(132,146)(136,142)(138,158)(141,145)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,121)( 58, 80)( 59,124)( 62, 68)( 63,136)( 64, 92)( 66, 72)( 67,137)( 70, 75)( 71,140)( 74, 96)( 78,116)
        ( 79,112)( 82, 87)( 83,128)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,132)( 94,154)( 97,103)( 98,134)( 99,141)
        (101,107)(102,159)(105,111)(106,156)(109,115)(110,152)(113,143)(114,149)(117,123)(118,126)(119,144)(122,127)
        (125,131)(129,146)(130,145)(133,139)(135,158)(138,142)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,121)( 58, 80)( 59,124)( 62, 68)( 63,136)( 64, 93)( 66, 72)( 67,137)( 70, 75)( 71,140)( 74, 96)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,128)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,132)( 97,103)( 98,134)( 99,141)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,143)(114,148)(117,123)(118,126)(119,144)(122,127)
        (125,131)(129,146)(130,145)(133,139)(135,158)(138,142)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,117)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 92)( 66, 71)( 67,138)( 70, 75)( 73, 96)( 74,139)( 78,116)
        ( 79,112)( 82, 87)( 83,127)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,131)( 94,154)( 97,103)( 98,133)( 99,140)
        (101,107)(102,159)(105,111)(106,156)(109,115)(110,152)(113,142)(114,149)(118,122)(119,143)(121,126)(124,130)
        (125,144)(128,146)(129,145)(132,137)(134,158)(136,141)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,117)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 93)( 66, 71)( 67,138)( 70, 75)( 73, 96)( 74,139)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,127)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,131)( 97,103)( 98,133)( 99,140)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,142)(114,148)(118,122)(119,143)(121,126)(124,130)
        (125,144)(128,146)(129,145)(132,137)(134,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,136)( 70, 75)( 71,139)( 74, 96)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,127)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,131)( 97,103)( 98,133)( 99,140)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,142)(114,148)(117,122)(118,143)(121,126)(124,130)
        (125,144)(128,146)(129,145)(132,138)(134,158)(137,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 92)( 66, 72)( 67,138)( 70, 75)( 71,139)( 74, 96)( 78,116)
        ( 79,112)( 82, 87)( 83,127)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,131)( 94,154)( 97,103)( 98,133)( 99,140)
        (101,107)(102,159)(105,111)(106,156)(109,115)(110,152)(113,142)(114,149)(117,122)(118,143)(121,126)(124,130)
        (125,144)(128,146)(129,145)(132,137)(134,158)(136,141)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,138)( 70, 75)( 71,139)( 74, 96)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,127)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,131)( 97,103)( 98,133)( 99,140)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,142)(114,148)(117,122)(118,143)(121,126)(124,130)
        (125,144)(128,146)(129,145)(132,137)(134,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,117)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,124)( 62, 68)( 63,135)( 64, 92)( 66, 71)( 67,139)( 70, 75)( 73, 96)( 74,140)( 78,116)
        ( 79,112)( 82, 87)( 83,127)( 85, 91)( 86,147)( 89, 95)( 90,150)( 93,131)( 94,154)( 97,103)( 98,133)( 99,137)
        (101,107)(102,159)(105,111)(106,156)(109,115)(110,152)(113,142)(114,149)(118,123)(119,143)(121,126)(122,144)
        (125,130)(128,146)(129,145)(132,138)(134,158)(136,141)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,117)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,124)( 62, 68)( 63,135)( 64, 93)( 66, 71)( 67,139)( 70, 75)( 73, 96)( 74,140)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,127)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,131)( 97,103)( 98,133)( 99,137)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,142)(114,148)(118,123)(119,143)(121,126)(122,144)
        (125,130)(128,146)(129,145)(132,138)(134,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,124)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,140)( 74, 97)( 75,137)
        ( 79,116)( 80,112)( 83, 88)( 84,127)( 86, 92)( 87,147)( 90, 96)( 91,150)( 94,131)( 95,154)( 98,103)( 99,133)
        (101,107)(102,159)(105,111)(106,156)(109,115)(110,152)(113,142)(114,149)(117,122)(118,143)(120,126)(121,144)
        (125,130)(128,146)(129,145)(132,138)(134,158)(136,141)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,124)( 62, 68)( 63,135)( 64, 94)( 66, 72)( 67,139)( 70, 76)( 71,140)( 74, 97)( 75,137)
        ( 79,116)( 80,112)( 82, 88)( 83,149)( 84,127)( 86, 92)( 87,153)( 90, 96)( 91,157)( 95,131)( 98,103)( 99,133)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,142)(114,148)(117,122)(118,143)(120,126)(121,144)
        (125,130)(128,146)(129,145)(132,138)(134,158)(136,141)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42, 99)( 45, 76)( 46,103)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,122)( 61, 67)( 62,134)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,138)( 73, 92)( 74,142)( 78,111)
        ( 79,107)( 82, 87)( 83,126)( 85, 91)( 86,150)( 89,130)( 90,153)( 93, 98)( 94,158)( 95,145)( 97,102)(100,106)
        (101,159)(104,110)(105,155)(108,114)(109,152)(112,118)(113,128)(116,121)(117,124)(120,125)(123,129)(127,149)
        (131,137)(132,146)(133,157)(136,141)(139,144)(140,147)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 71)( 42, 48)( 43,107)( 46, 75)( 47,111)( 50, 56)( 51,123)( 52, 76)( 54, 60)
        ( 55,124)( 58, 79)( 59,127)( 62, 66)( 63, 95)( 65, 70)( 68, 74)( 69, 96)( 72, 99)( 73,135)( 77,119)( 78,115)
        ( 80, 86)( 81,145)( 82,131)( 84, 90)( 85,149)( 88, 94)( 89,153)( 92, 98)( 93,157)( 97,138)(100,106)(101,159)
        (102,136)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,139)(117,144)(120,126)(121,129)(122,140)
        (125,130)(128,134)(132,142)(133,141)(137,158)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,127)( 62, 68)( 63,135)( 64, 95)( 66, 72)( 67,137)( 70, 75)( 71,102)( 74, 99)( 78,119)
        ( 79,115)( 81, 86)( 82,130)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,134)( 97,157)(100,106)
        (101,138)(104,110)(105,159)(108,114)(109,155)(112,118)(113,151)(116,141)(117,148)(121,126)(122,142)(124,129)
        (125,143)(128,133)(131,145)(132,144)(136,140)(139,158)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 81)( 62, 68)( 63,130)( 66, 72)( 67,134)( 70, 85)( 71,138)( 75,104)( 76,100)( 79, 84)
        ( 80,119)( 82,123)( 83,146)( 86, 91)( 87,157)( 88,141)( 90, 95)( 93, 99)( 94,158)( 97,103)( 98,151)(101,107)
        (102,148)(105,111)(106,121)(109,114)(110,117)(113,118)(116,122)(120,145)(124,129)(125,155)(126,149)(128,133)
        (131,137)(132,156)(135,140)(136,143)(139,144)(142,153)(147,152)(150,159)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46, 99)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,118)( 61, 67)( 62,130)( 63, 92)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 95)( 74,141)( 78,107)
        ( 79,103)( 81, 87)( 82,153)( 83,122)( 86, 91)( 89, 94)( 90,154)( 93,126)( 97,102)( 98,145)(100,106)(101,158)
        (104,110)(105,152)(108,114)(109,124)(112,117)(113,120)(116,121)(119,125)(123,149)(127,133)(128,160)(129,155)
        (131,137)(132,147)(135,140)(136,143)(139,144)(142,148)(146,157)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 70)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,119)( 62, 68)( 63,131)( 64, 89)( 66, 72)( 67,135)( 71, 92)( 75,111)( 76,107)( 78, 84)
        ( 79,146)( 80,123)( 83, 88)( 86, 91)( 87,147)( 90,127)( 93, 98)( 94,136)( 96,102)( 97,151)(100,106)(101,153)
        (104,110)(105,157)(108,139)(109,145)(112,118)(113,121)(114,140)(117,122)(120,126)(124,142)(125,141)(128,134)
        (129,159)(130,148)(132,138)(133,155)(137,150)(143,149)(144,158)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,121)( 62, 68)( 63,133)( 64, 92)( 66, 71)( 67,137)( 70, 75)( 73, 95)( 74,138)( 78,114)
        ( 79,110)( 81, 87)( 82,149)( 83,125)( 86, 91)( 89, 94)( 90,150)( 93,129)( 96,101)( 97,153)( 98,139)(100,105)
        (103,109)(104,154)(107,113)(108,157)(111,141)(112,148)(116,120)(117,142)(119,124)(122,128)(123,143)(126,145)
        (127,144)(130,136)(131,159)(132,151)(134,140)(135,156)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,115)( 58, 80)( 59,118)( 62, 68)( 63,130)( 64, 92)( 66, 71)( 67,134)( 70, 75)( 73, 95)( 74,135)( 78,111)
        ( 79,107)( 81, 87)( 82,149)( 83,122)( 86, 91)( 89, 94)( 90,150)( 93,126)( 97,102)( 98,138)(100,106)(101,154)
        (104,110)(105,157)(108,141)(109,148)(112,117)(113,142)(116,121)(119,125)(120,143)(123,145)(124,144)(127,133)
        (128,159)(129,151)(131,137)(132,156)(136,140)(139,153)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 96)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,115)( 58, 80)( 59,118)( 62, 68)( 63,130)( 64, 92)( 66, 71)( 67,134)( 70, 75)( 73, 95)( 74,135)( 78,111)
        ( 79,107)( 81, 86)( 82,149)( 83,122)( 85, 90)( 88, 94)( 89,150)( 93,126)( 97,102)( 98,138)(100,106)(101,154)
        (104,110)(105,157)(108,141)(109,148)(112,117)(113,142)(116,121)(119,125)(120,143)(123,145)(124,144)(127,133)
        (128,159)(129,151)(131,137)(132,156)(136,140)(139,153)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,122)( 62, 68)( 63,133)( 64, 92)( 66, 72)( 67,137)( 70, 75)( 71,138)( 74, 95)( 78,114)
        ( 79,110)( 81, 87)( 82,149)( 83,125)( 86, 91)( 89, 94)( 90,150)( 93,129)( 96,101)( 97,153)( 98,139)(100,105)
        (103,109)(104,154)(107,113)(108,157)(111,141)(112,148)(116,121)(117,142)(119,124)(120,143)(123,128)(126,145)
        (127,144)(130,136)(131,159)(132,151)(134,140)(135,156)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,119)( 62, 68)( 63,130)( 64, 92)( 66, 72)( 67,134)( 70, 75)( 71,137)( 74, 95)( 78,111)
        ( 79,107)( 81, 87)( 82,149)( 83,122)( 86, 91)( 89, 94)( 90,150)( 93,126)( 97,102)( 98,138)(100,106)(101,154)
        (104,110)(105,157)(108,141)(109,148)(112,117)(113,142)(115,121)(116,143)(120,125)(123,145)(124,144)(127,133)
        (128,159)(129,151)(131,136)(132,156)(135,140)(139,153)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,119)( 62, 68)( 63,130)( 64, 92)( 66, 72)( 67,134)( 70, 75)( 71,137)( 74, 95)( 78,111)
        ( 79,107)( 81, 86)( 82,149)( 83,122)( 85, 90)( 88, 94)( 89,150)( 93,126)( 97,102)( 98,138)(100,106)(101,154)
        (104,110)(105,157)(108,141)(109,148)(112,117)(113,142)(115,121)(116,143)(120,125)(123,145)(124,144)(127,133)
        (128,159)(129,151)(131,136)(132,156)(135,140)(139,153)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,115)
        ( 58, 64)( 59,127)( 60, 81)( 62, 67)( 63,131)( 66, 71)( 69, 84)( 70,132)( 74,104)( 75,100)( 77, 83)( 78,142)
        ( 79,119)( 82,123)( 85, 91)( 86,147)( 87,135)( 89, 95)( 90,150)( 93, 99)( 94,154)( 97,103)( 98,158)(101,107)
        (102,141)(105,111)(106,121)(109,114)(110,117)(113,118)(116,122)(120,138)(124,130)(125,152)(126,143)(128,134)
        (129,149)(133,137)(136,146)(139,145)(140,159)(144,156)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,112)
        ( 58, 64)( 59,124)( 60, 82)( 62, 68)( 63,128)( 66, 72)( 67,129)( 70, 85)( 71,132)( 75,104)( 76,100)( 78, 84)
        ( 79,146)( 80,116)( 83,120)( 86, 91)( 87,135)( 89, 95)( 90,151)( 93, 99)( 94,154)( 97,103)( 98,158)(101,139)
        (102,145)(105,111)(106,114)(107,140)(110,115)(113,119)(117,142)(118,141)(121,127)(122,153)(123,147)(125,131)
        (126,137)(130,134)(133,138)(136,150)(143,149)(144,159)(148,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,105)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,111)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 71)( 67,130)( 70, 84)( 74,104)( 75,100)( 77, 83)( 78,142)
        ( 79,115)( 82,119)( 85, 91)( 86,147)( 87,131)( 89, 95)( 90,150)( 93, 99)( 94,154)( 97,103)( 98,158)(101,134)
        (102,141)(106,110)(107,135)(109,114)(112,118)(113,136)(116,138)(117,137)(120,126)(121,152)(122,143)(124,129)
        (125,149)(128,133)(132,146)(139,145)(140,159)(144,156)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,111)
        ( 58, 64)( 59,123)( 60, 82)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 85)( 71,131)( 75,104)( 76,100)( 78, 84)
        ( 79,146)( 80,115)( 83,119)( 86, 91)( 87,134)( 89, 95)( 90,151)( 93, 99)( 94,154)( 97,103)( 98,158)(101,138)
        (102,145)(105,110)(106,139)(109,114)(112,118)(113,140)(116,142)(117,141)(120,126)(121,153)(122,147)(124,129)
        (125,136)(128,133)(132,137)(135,150)(143,149)(144,159)(148,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,113)
        ( 58, 64)( 59,124)( 60, 82)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 85)( 71,133)( 75,105)( 76,101)( 78, 84)
        ( 79,143)( 80,116)( 83,120)( 86, 92)( 87,147)( 88,130)( 90, 96)( 91,150)( 94,100)( 95,154)( 98,104)( 99,158)
        (102,135)(103,142)(106,111)(107,136)(109,115)(110,137)(114,119)(117,139)(118,138)(121,127)(122,152)(123,144)
        (125,131)(126,149)(129,134)(140,146)(141,159)(145,156)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,116)( 52, 76)( 54, 60)
        ( 55,119)( 58, 79)( 59,123)( 62, 67)( 63, 73)( 64, 91)( 66, 70)( 69, 74)( 72, 95)( 77,115)( 78,111)( 81, 86)
        ( 82,124)( 84, 90)( 85,131)( 88, 94)( 89,134)( 92, 98)( 93,138)( 96,102)( 97,142)(100,106)(101,145)(104,110)
        (105,146)(108,114)(109,149)(112,127)(113,153)(117,122)(118,128)(120,126)(121,158)(125,130)(129,157)(132,137)
        (133,159)(135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 35)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 34)( 30, 79)( 33, 59)( 36, 42)
        ( 37, 87)( 38, 64)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 48, 54)( 49,104)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,108)( 60, 66)( 61,119)( 62, 80)( 65, 83)( 69,103)( 70, 99)( 72, 78)( 73,131)( 74,111)( 76, 82)( 77,135)
        ( 81,115)( 84, 90)( 85,140)( 86,120)( 88, 94)( 89,143)( 92, 98)( 93,147)( 96,102)( 97,151)(100,123)(101,155)
        (105,110)(106,124)(109,114)(112,127)(113,125)(116,122)(117,142)(118,136)(121,139)(126,158)(128,134)(129,153)
        (130,159)(132,138)(133,149)(137,145)(141,146)(144,150)(148,154)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,102)( 49, 55)( 50,114)( 51, 69)( 53, 59)( 54,117)
        ( 57, 72)( 58,121)( 61, 67)( 62, 94)( 63, 87)( 66, 91)( 70,110)( 71,106)( 73, 79)( 74,133)( 75,122)( 77, 82)
        ( 78,137)( 81, 86)( 84, 90)( 85,138)( 88,125)( 89,141)( 92, 98)( 93,126)( 96,101)( 97,149)(100,105)(103,109)
        (104,150)(107,113)(108,153)(111,116)(112,157)(115,120)(118,124)(119,158)(123,129)(127,152)(128,145)(130,136)
        (131,147)(132,159)(134,140)(135,143)(139,144)(142,148)(146,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,102)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,114)
        ( 57, 72)( 58,118)( 61, 67)( 62, 94)( 63, 87)( 66, 91)( 70,110)( 71,106)( 73, 79)( 74,133)( 75,119)( 77, 82)
        ( 78,137)( 81, 86)( 84, 90)( 85,138)( 88,122)( 89,141)( 92, 98)( 93,123)( 96,101)( 97,149)(100,105)(103,109)
        (104,150)(107,126)(108,153)(112,117)(113,127)(115,121)(116,158)(120,129)(124,152)(125,145)(128,157)(130,136)
        (131,147)(132,159)(134,140)(135,143)(139,144)(142,148)(146,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,112)
        ( 57, 72)( 58,115)( 61, 67)( 62,126)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 79)( 74,138)( 75,118)( 77, 83)
        ( 78,139)( 81, 86)( 82,142)( 85, 90)( 88,122)( 89,143)( 93, 98)( 94,127)( 96,102)( 97,151)(100,106)(101,153)
        (104,130)(105,157)(108,114)(109,120)(110,131)(113,117)(116,121)(119,134)(123,129)(124,155)(125,146)(128,150)
        (132,137)(133,158)(135,141)(136,148)(140,145)(144,149)(147,159)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46, 99)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,115)( 61, 67)( 62,126)( 63, 91)( 66, 71)( 69, 95)( 70,127)( 74,107)( 75,103)( 77, 83)( 78,141)
        ( 79,118)( 81, 87)( 82,142)( 85, 90)( 86,145)( 89, 94)( 92,122)( 93,146)( 97,102)( 98,130)(100,106)(101,154)
        (104,133)(105,157)(108,113)(109,120)(110,134)(112,117)(116,121)(119,137)(123,129)(124,156)(125,149)(128,132)
        (131,153)(135,140)(136,158)(138,144)(139,151)(143,148)(147,152)(150,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39,103)( 40, 72)( 42, 47)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 99)( 74,132)( 78,111)
        ( 79,107)( 81, 86)( 82,141)( 83,123)( 85, 90)( 88, 94)( 89,142)( 92, 98)( 93,145)( 96,126)( 97,146)(100,106)
        (101,153)(102,128)(105,110)(108,114)(109,154)(112,118)(113,157)(117,122)(120,125)(121,158)(124,137)(127,133)
        (129,149)(131,136)(138,144)(139,151)(140,159)(143,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39,103)( 40, 72)( 42, 47)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,122)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 99)( 74,132)( 78,111)
        ( 79,107)( 81, 86)( 82,141)( 83,123)( 85, 90)( 88, 94)( 89,142)( 92, 98)( 93,145)( 96,126)( 97,146)(100,106)
        (101,153)(102,128)(105,110)(108,114)(109,154)(112,117)(113,157)(116,121)(119,125)(120,158)(124,137)(127,133)
        (129,149)(131,136)(138,144)(139,151)(140,159)(143,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 56)( 30, 35)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,116)
        ( 57, 79)( 58,119)( 61, 67)( 62, 94)( 63, 87)( 65, 70)( 66, 73)( 69, 74)( 72, 91)( 77,111)( 78,107)( 80, 86)
        ( 81,138)( 82,122)( 85, 90)( 88,126)( 89,139)( 92, 98)( 93,127)( 96,102)( 97,146)(100,106)(101,147)(104,110)
        (105,150)(108,130)(109,154)(112,118)(113,124)(114,131)(117,121)(120,125)(123,134)(128,149)(129,142)(132,137)
        (133,155)(135,141)(136,159)(140,145)(143,152)(144,160)(148,153)(151,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 56)( 30, 35)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,116)
        ( 57, 79)( 58,119)( 61, 67)( 62, 94)( 63, 87)( 65, 70)( 66, 73)( 69, 74)( 72, 91)( 77,111)( 78,107)( 80, 86)
        ( 81,134)( 82,123)( 85, 90)( 88,126)( 89,135)( 92, 98)( 93,127)( 96,102)( 97,142)(100,106)(101,143)(104,110)
        (105,146)(108,114)(109,150)(112,118)(113,154)(117,122)(120,125)(121,155)(124,130)(128,145)(129,138)(131,137)
        (132,158)(133,156)(136,141)(139,148)(140,159)(144,149)(147,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 52)( 30, 36)( 31, 82)( 34, 56)
        ( 35, 86)( 39, 44)( 40, 67)( 42, 71)( 43, 94)( 46, 51)( 47, 72)( 49, 55)( 50,102)( 53, 75)( 54,105)( 57, 62)
        ( 58,117)( 59, 90)( 61, 66)( 64, 70)( 65,118)( 68, 93)( 69,121)( 73,101)( 74, 97)( 76, 81)( 77,137)( 78,109)
        ( 80, 85)( 83, 89)( 84,138)( 87, 92)( 88,141)( 91,113)( 95,100)( 96,125)( 98,129)( 99,146)(103,108)(104,130)
        (106,112)(107,131)(110,133)(111,150)(114,120)(115,157)(116,142)(119,124)(122,128)(123,158)(126,145)(127,159)
        (132,149)(134,140)(135,156)(136,151)(139,144)(143,153)(147,152)(148,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 72)( 43, 95)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,106)( 54, 76)( 55,110)
        ( 58, 64)( 59,118)( 60, 91)( 62, 67)( 63,122)( 66, 71)( 69, 94)( 70,123)( 74,102)( 75, 98)( 77, 82)( 78,137)
        ( 79,111)( 81, 86)( 84, 90)( 85,138)( 88, 93)( 89,141)( 92,114)( 96,101)( 97,126)( 99,130)(100,146)(104,109)
        (105,131)(107,113)(108,150)(112,133)(115,121)(116,157)(117,142)(119,125)(120,158)(124,129)(127,145)(128,159)
        (132,149)(134,140)(135,156)(136,151)(139,144)(143,153)(147,152)(148,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,103)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,127)( 71,107)( 74,111)( 77, 83)( 78,135)( 79,116)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93,119)( 94,149)( 97,102)( 98,109)( 99,120)(101,106)
        (105,110)(108,123)(112,118)(113,134)(114,128)(117,131)(121,126)(122,150)(124,130)(125,158)(129,153)(132,137)
        (133,154)(136,141)(139,145)(140,155)(143,148)(144,160)(147,152)(151,157)(156,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46, 97)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,101)( 57, 63)
        ( 58,112)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,124)( 71,104)( 74,108)( 77, 83)( 78,132)( 79,113)
        ( 81, 87)( 82,135)( 85, 91)( 86,139)( 89, 95)( 90,143)( 93,116)( 94,146)( 98,103)( 99,117)(102,107)(105,120)
        (106,118)(109,115)(110,131)(111,125)(114,128)(119,150)(121,127)(122,157)(123,151)(126,153)(129,134)(130,154)
        (133,138)(136,142)(137,155)(140,145)(141,159)(144,149)(147,152)(148,160)(156,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,107)( 50, 56)( 51,119)( 52, 74)( 54, 60)
        ( 55,122)( 58, 77)( 59,126)( 62, 68)( 63,134)( 64, 92)( 66, 72)( 67, 99)( 71, 96)( 75,115)( 76,111)( 78, 84)
        ( 79,142)( 80,127)( 82, 87)( 83,146)( 86, 91)( 89, 95)( 90,147)( 93,130)( 94,144)( 97,103)( 98,135)(101,106)
        (102,149)(105,110)(108,114)(109,150)(112,118)(113,153)(116,121)(117,157)(120,125)(123,129)(124,158)(128,138)
        (131,137)(132,155)(133,140)(136,152)(139,145)(141,159)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,107)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,131)( 64, 92)( 66, 72)( 67, 99)( 71, 96)( 75,115)( 76,111)( 78, 84)
        ( 79,142)( 80,124)( 82, 87)( 83,146)( 86, 91)( 89, 95)( 90,147)( 93,127)( 94,144)( 97,103)( 98,132)(101,106)
        (102,149)(105,110)(108,114)(109,150)(112,135)(113,153)(117,122)(118,136)(120,126)(121,158)(125,138)(128,134)
        (129,155)(130,140)(133,152)(137,157)(139,145)(141,159)(143,148)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,114)
        ( 57, 72)( 58,115)( 61, 67)( 62,126)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 79)( 74,138)( 75,118)( 77, 82)
        ( 78,142)( 81, 86)( 84, 90)( 85,143)( 88,122)( 89,144)( 93, 98)( 94,127)( 96,102)( 97,147)(100,106)(101,150)
        (104,130)(105,153)(108,113)(109,120)(110,131)(112,117)(116,121)(119,134)(123,129)(124,157)(125,140)(128,146)
        (132,137)(133,154)(135,141)(136,160)(139,145)(148,152)(149,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,108)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,112)( 61, 67)( 62,123)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 79)( 74,135)( 75,115)( 77, 82)
        ( 78,139)( 81, 86)( 84, 90)( 85,140)( 88,119)( 89,141)( 93, 98)( 94,124)( 96,102)( 97,144)(100,106)(101,147)
        (104,127)(105,150)(109,114)(110,128)(113,118)(116,131)(117,129)(120,126)(121,157)(122,137)(125,143)(130,154)
        (132,138)(133,160)(134,155)(136,142)(145,149)(146,158)(148,153)(151,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 52)( 31, 56)( 34, 40)( 35, 86)
        ( 36, 67)( 38, 44)( 39, 90)( 42, 71)( 43, 94)( 46, 51)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,106)( 57, 63)
        ( 58,118)( 59, 80)( 61, 66)( 62,122)( 65, 70)( 68, 83)( 69,123)( 73,102)( 74, 98)( 76, 82)( 77,138)( 78,110)
        ( 81,114)( 84, 89)( 85,126)( 87, 93)( 88,143)( 91, 97)( 92,146)( 95,101)( 96,150)( 99,130)(100,154)(104,109)
        (105,131)(107,113)(108,132)(111,134)(112,158)(115,121)(116,145)(117,139)(119,125)(120,128)(124,129)(127,142)
        (133,157)(135,141)(136,152)(137,159)(140,148)(144,149)(147,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 42)( 11, 21)( 13, 19)( 14, 54)
        ( 15, 25)( 17, 28)( 18, 58)( 22, 39)( 23, 35)( 26, 50)( 27, 46)( 29, 34)( 30, 62)( 32, 38)( 33, 75)( 36, 66)
        ( 37, 78)( 40, 45)( 41, 67)( 43, 49)( 44, 87)( 47, 70)( 48, 90)( 51, 57)( 52,102)( 53, 71)( 55, 61)( 56,106)
        ( 59, 65)( 60,110)( 63, 74)( 64,114)( 68, 86)( 69, 82)( 72, 98)( 73, 94)( 76, 81)( 77,117)( 79, 85)( 80,130)
        ( 83,121)( 84,133)( 88, 93)( 89,122)( 91, 97)( 92,123)( 95,125)( 96,138)( 99,105)(100,145)(101,126)(103,109)
        (104,146)(107,113)(108,149)(111,116)(112,153)(115,120)(118,129)(119,154)(124,137)(127,141)(128,139)(131,136)
        (132,157)(134,140)(135,144)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 93)( 46, 52)( 47,101)( 48, 74)( 50, 56)( 51,104)( 54, 77)( 55,105)
        ( 58, 64)( 59,116)( 60, 89)( 62, 68)( 63,120)( 66, 72)( 67,123)( 70, 92)( 71,127)( 75,100)( 76, 96)( 78, 84)
        ( 79,142)( 80,108)( 83, 88)( 86, 91)( 87,143)( 90,112)( 94, 99)( 95,130)( 97,134)( 98,147)(102,107)(103,135)
        (106,111)(109,138)(110,136)(113,119)(114,153)(115,144)(117,122)(118,157)(121,126)(124,129)(125,158)(128,133)
        (131,146)(132,159)(137,150)(139,145)(140,156)(141,151)(148,152)(149,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 76)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 90)( 39, 64)( 41, 47)( 42, 93)( 45, 67)( 46, 97)( 49, 54)( 50, 68)( 52, 58)( 53,106)( 56, 71)
        ( 57,109)( 60, 66)( 61,121)( 62, 83)( 65, 86)( 69,105)( 70,101)( 72, 78)( 73,133)( 74,113)( 77, 82)( 80, 85)
        ( 81,134)( 84,117)( 87, 92)( 88,141)( 89,122)( 91, 96)( 94,100)( 95,142)( 98,104)( 99,145)(102,125)(103,149)
        (107,112)(108,126)(110,116)(111,127)(114,129)(115,154)(118,124)(119,157)(120,135)(123,137)(128,153)(130,136)
        (131,160)(132,155)(138,144)(139,147)(140,158)(143,148)(146,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,102)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,115)( 58, 77)( 59,118)( 62, 68)( 63,129)( 64, 89)( 67, 72)( 70, 92)( 71,130)( 75,110)( 76,106)( 78, 84)
        ( 79,141)( 80,122)( 83, 88)( 86, 91)( 87,142)( 90,125)( 93, 98)( 94,133)( 96,101)( 97,146)(100,105)(103,109)
        (104,147)(107,113)(108,149)(111,117)(112,153)(116,121)(119,124)(120,154)(123,137)(126,132)(127,157)(128,143)
        (131,136)(134,145)(135,158)(138,144)(139,160)(140,155)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,102)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,115)( 58, 77)( 59,118)( 62, 68)( 63,129)( 64, 89)( 67, 72)( 70, 92)( 71,130)( 75,110)( 76,106)( 78, 83)
        ( 79,141)( 80,122)( 82, 87)( 85, 91)( 86,142)( 90,125)( 93, 98)( 94,133)( 96,101)( 97,146)(100,105)(103,109)
        (104,147)(107,113)(108,149)(111,117)(112,153)(116,121)(119,124)(120,154)(123,137)(126,132)(127,157)(128,143)
        (131,136)(134,145)(135,158)(138,144)(139,160)(140,155)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,102)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,117)( 58, 77)( 59,121)( 62, 68)( 63,129)( 64, 89)( 67, 72)( 70, 92)( 71,130)( 75,110)( 76,106)( 78, 84)
        ( 79,141)( 80,122)( 83, 88)( 86, 91)( 87,142)( 90,125)( 93, 98)( 94,133)( 96,101)( 97,146)(100,105)(103,109)
        (104,147)(107,113)(108,149)(111,116)(112,153)(115,120)(118,124)(119,154)(123,137)(126,132)(127,157)(128,143)
        (131,136)(134,145)(135,158)(138,144)(139,160)(140,155)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,102)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,117)( 58, 77)( 59,121)( 62, 68)( 63,129)( 64, 89)( 67, 72)( 70, 92)( 71,130)( 75,110)( 76,106)( 78, 83)
        ( 79,141)( 80,122)( 82, 87)( 85, 91)( 86,142)( 90,125)( 93, 98)( 94,133)( 96,101)( 97,146)(100,105)(103,109)
        (104,147)(107,113)(108,149)(111,116)(112,153)(115,120)(118,124)(119,154)(123,137)(126,132)(127,157)(128,143)
        (131,136)(134,145)(135,158)(138,144)(139,160)(140,155)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 96)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,102)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,117)( 58, 80)( 59,121)( 62, 67)( 63,129)( 64, 92)( 66, 71)( 69, 75)( 70,130)( 73, 95)( 74,133)( 78,110)
        ( 79,106)( 81, 86)( 82,145)( 83,122)( 85, 90)( 88, 94)( 89,146)( 93,125)( 97,101)( 98,137)(100,105)(103,109)
        (104,138)(107,113)(108,149)(111,116)(112,153)(115,120)(118,124)(119,154)(123,141)(126,132)(127,157)(128,147)
        (131,136)(134,140)(135,158)(139,152)(142,148)(143,160)(144,155)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,102)( 50, 56)( 51,111)( 52, 74)( 54, 60)
        ( 55,114)( 58, 77)( 59,118)( 62, 68)( 63,126)( 64, 89)( 67, 72)( 70, 92)( 71,127)( 75,110)( 76,106)( 78, 84)
        ( 79,141)( 80,119)( 83, 88)( 86, 91)( 87,142)( 90,122)( 93, 98)( 94,130)( 96,101)( 97,146)(100,105)(103,109)
        (104,147)(107,134)(108,149)(112,117)(113,135)(115,121)(116,154)(120,137)(123,129)(124,157)(125,143)(128,133)
        (131,145)(132,158)(136,153)(138,144)(139,160)(140,155)(148,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 96)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,102)( 50, 56)( 51,111)( 52, 77)( 54, 60)
        ( 55,114)( 58, 80)( 59,118)( 62, 67)( 63,126)( 64, 92)( 66, 71)( 69, 75)( 70,127)( 73, 95)( 74,130)( 78,110)
        ( 79,106)( 81, 86)( 82,145)( 83,119)( 85, 90)( 88, 94)( 89,146)( 93,122)( 97,101)( 98,134)(100,105)(103,109)
        (104,135)(107,138)(108,149)(112,117)(113,139)(115,121)(116,154)(120,141)(123,129)(124,157)(125,147)(128,133)
        (131,137)(132,158)(136,152)(140,153)(142,148)(143,160)(144,155)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 98)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,102)( 50, 56)( 51,111)( 52, 77)( 54, 60)
        ( 55,114)( 58, 80)( 59,118)( 62, 67)( 63,126)( 64, 92)( 66, 71)( 69, 75)( 70,127)( 73, 95)( 74,130)( 78,110)
        ( 79,106)( 81, 87)( 82,145)( 83,119)( 86, 91)( 89, 94)( 90,146)( 93,122)( 96,101)( 97,134)(100,105)(103,109)
        (104,135)(107,138)(108,149)(112,117)(113,139)(115,121)(116,154)(120,141)(123,129)(124,157)(125,147)(128,133)
        (131,137)(132,158)(136,152)(140,153)(142,148)(143,160)(144,155)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 98)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,102)( 50, 56)( 51,111)( 52, 77)( 54, 60)
        ( 55,114)( 58, 80)( 59,118)( 62, 67)( 63,126)( 64, 92)( 66, 71)( 69, 75)( 70,127)( 73, 95)( 74,130)( 78,110)
        ( 79,106)( 81, 86)( 82,145)( 83,119)( 85, 90)( 88, 94)( 89,146)( 93,122)( 96,101)( 97,134)(100,105)(103,109)
        (104,135)(107,138)(108,149)(112,117)(113,139)(115,121)(116,154)(120,141)(123,129)(124,157)(125,147)(128,133)
        (131,137)(132,158)(136,152)(140,153)(142,148)(143,160)(144,155)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,101)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,127)( 71,107)( 74,111)( 77, 83)( 78,132)( 79,116)
        ( 81, 87)( 82,135)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,119)( 94,146)( 97,103)( 98,109)( 99,120)(102,106)
        (105,110)(108,123)(112,118)(113,154)(114,128)(117,131)(121,126)(122,147)(124,130)(125,159)(129,150)(133,137)
        (134,155)(136,141)(139,145)(140,156)(143,149)(144,152)(148,158)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,103)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,127)( 71,107)( 74,111)( 77, 83)( 78,134)( 79,116)
        ( 81, 87)( 82,135)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,119)( 94,146)( 97,102)( 98,109)( 99,120)(101,106)
        (105,110)(108,123)(112,118)(113,154)(114,128)(117,131)(121,126)(122,147)(124,130)(125,159)(129,150)(132,137)
        (133,155)(136,141)(139,145)(140,156)(143,149)(144,152)(148,158)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,101)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,123)( 71,108)( 74,111)( 77, 83)( 78,128)( 79,116)
        ( 81, 87)( 82,131)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,103)( 98,146)(102,107)(105,110)
        (106,147)(109,119)(112,118)(113,154)(114,124)(117,127)(120,126)(121,158)(122,148)(125,150)(129,133)(130,155)
        (132,137)(135,141)(136,156)(139,145)(140,152)(143,149)(144,160)(151,157)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 85)( 41, 72)( 42, 88)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,101)( 53, 76)( 54,104)( 57, 63)
        ( 58,115)( 59, 81)( 61, 67)( 62,116)( 65, 71)( 66,119)( 69, 84)( 70,123)( 74, 96)( 75, 92)( 77, 83)( 78,134)
        ( 79,108)( 82,111)( 86, 91)( 87,126)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,103)( 98,146)(102,107)(105,110)
        (106,147)(109,130)(112,118)(113,154)(114,135)(117,122)(120,125)(121,155)(124,129)(127,138)(128,156)(131,137)
        (132,158)(133,148)(136,150)(140,145)(141,152)(143,149)(144,160)(151,157)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,100)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,114)( 61, 67)( 62,118)( 65, 76)( 66,122)( 70, 92)( 71, 88)( 74,107)( 75,103)( 77, 83)( 78,141)
        ( 79,126)( 82, 87)( 85, 91)( 86,142)( 89,129)( 90,145)( 93, 98)( 94,105)( 95,130)( 97,102)(101,106)(104,133)
        (108,113)(109,153)(110,134)(112,117)(115,121)(116,154)(119,125)(120,157)(123,128)(124,158)(127,137)(131,136)
        (132,146)(135,149)(138,144)(139,151)(140,159)(143,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 93)( 43, 69)( 45, 51)( 46, 96)( 49, 72)( 50, 97)( 53, 59)( 54,108)( 55, 73)
        ( 57, 63)( 58,112)( 61, 67)( 62,116)( 65, 76)( 66,119)( 70, 92)( 71, 88)( 74,104)( 75,100)( 77, 83)( 78,138)
        ( 79,123)( 82, 87)( 85, 91)( 86,139)( 89,126)( 90,142)( 94, 99)( 95,127)( 98,103)(101,130)(102,128)(105,111)
        (106,153)(107,131)(109,115)(110,154)(113,118)(114,157)(117,122)(120,125)(121,158)(124,134)(129,146)(132,149)
        (133,147)(135,141)(136,151)(137,159)(140,145)(143,148)(144,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 80)
        ( 37, 67)( 38, 83)( 41, 46)( 42, 68)( 44, 50)( 45, 92)( 48, 71)( 49, 95)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,111)( 60, 66)( 61,115)( 64, 75)( 65,116)( 69, 91)( 70, 87)( 73,103)( 74, 99)( 76, 82)( 77,135)( 78,119)
        ( 81, 86)( 84, 90)( 85,136)( 88,123)( 89,139)( 93, 98)( 94,124)( 96,102)( 97,125)(100,127)(101,144)(104,110)
        (105,151)(106,128)(108,114)(109,154)(112,118)(113,158)(117,122)(120,131)(121,159)(126,143)(129,147)(130,145)
        (132,138)(133,149)(134,156)(137,142)(140,146)(141,150)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 97)( 49, 72)( 50,100)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,118)( 65, 76)( 66,122)( 70, 92)( 71, 88)( 74,107)( 75,104)( 77, 83)( 78,137)
        ( 79,125)( 82, 87)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 98,103)(101,106)(102,146)(105,129)
        (108,114)(109,153)(110,130)(112,117)(113,157)(116,121)(119,124)(120,158)(123,128)(126,133)(127,159)(131,149)
        (132,147)(134,140)(135,151)(136,155)(139,144)(142,148)(143,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,118)( 65, 76)( 66,122)( 70, 92)( 71, 88)( 74,107)( 75,104)( 77, 83)( 78,137)
        ( 79,126)( 82, 87)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 98)( 94,145)( 97,102)(100,106)(101,146)(105,130)
        (108,114)(109,153)(110,131)(112,117)(113,157)(116,121)(119,125)(120,158)(123,129)(124,159)(127,134)(128,155)
        (132,149)(133,147)(135,140)(136,151)(139,144)(142,148)(143,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 93)( 43, 69)( 45, 51)( 46, 96)( 49, 72)( 50,100)( 53, 59)( 54,108)( 55, 73)
        ( 57, 63)( 58,112)( 61, 67)( 62,116)( 65, 76)( 66,119)( 70, 92)( 71, 88)( 74,104)( 75,101)( 77, 83)( 78,137)
        ( 79,123)( 82, 87)( 85, 91)( 86,138)( 89,127)( 90,141)( 94, 99)( 95,128)( 97,103)( 98,146)(102,130)(105,111)
        (106,153)(107,131)(109,115)(110,157)(113,118)(114,158)(117,122)(120,126)(121,159)(124,134)(125,155)(129,145)
        (132,149)(133,147)(135,140)(136,151)(139,144)(142,148)(143,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 70)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,115)( 58, 77)( 59,116)( 62, 68)( 63,127)( 64, 91)( 66, 72)( 67,131)( 71, 95)( 75,111)( 76,107)( 78, 84)
        ( 79,126)( 80,119)( 82, 87)( 83, 93)( 86, 90)( 89, 94)( 92,123)( 97,102)( 98,132)(100,106)(101,144)(104,110)
        (105,147)(108,135)(109,150)(113,118)(114,136)(117,122)(120,139)(121,137)(124,130)(125,140)(128,134)(129,157)
        (133,143)(138,154)(141,160)(142,155)(145,149)(146,158)(148,153)(151,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,118)( 61, 67)( 62,126)( 63, 85)( 66, 71)( 69, 88)( 70,127)( 74,107)( 75,103)( 77, 83)( 78,138)
        ( 79,119)( 81, 87)( 82,139)( 86,122)( 89, 94)( 90,146)( 91,130)( 93, 98)( 96,102)( 97,147)(100,106)(101,144)
        (104,110)(105,149)(108,113)(109,153)(112,117)(115,121)(116,154)(120,134)(123,129)(124,157)(125,140)(128,133)
        (131,142)(132,158)(135,141)(136,160)(137,155)(143,148)(145,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 29)( 18, 33)( 19, 63)( 23, 44)( 24, 40)( 27, 32)( 28, 51)( 30, 55)( 31, 76)( 34, 39)( 35, 67)
        ( 37, 43)( 38, 84)( 41, 71)( 42, 87)( 45, 50)( 46, 72)( 48, 54)( 49, 96)( 52, 75)( 53, 99)( 56, 62)( 57,111)
        ( 58, 79)( 60, 66)( 61,115)( 64, 70)( 65,116)( 68, 83)( 69,119)( 73, 95)( 74, 91)( 77, 82)( 78,103)( 80,107)
        ( 81,132)( 85, 90)( 86,123)( 88, 94)( 89,140)( 92,127)( 93,143)( 97,102)( 98,128)(100,106)(101,129)(104,131)
        (105,148)(108,114)(109,154)(110,135)(112,118)(113,158)(117,122)(120,126)(121,159)(124,139)(125,156)(130,147)
        (133,138)(134,149)(136,151)(137,145)(141,146)(142,153)(144,150)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 99)( 43, 69)( 45, 51)( 46,102)( 49, 72)( 50,106)( 53, 59)( 54,114)( 55, 73)
        ( 57, 63)( 58,118)( 61, 67)( 62,122)( 65, 76)( 66,125)( 70, 95)( 71, 91)( 74,110)( 75,107)( 77, 83)( 78,141)
        ( 79,129)( 81, 86)( 82,145)( 85, 90)( 88, 94)( 89,146)( 92, 98)( 93,149)( 96,101)( 97,153)(100,105)(103,109)
        (104,154)(108,133)(111,117)(112,140)(113,134)(115,121)(116,131)(119,124)(120,127)(123,128)(126,132)(130,137)
        (135,157)(136,155)(138,144)(139,158)(142,148)(143,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,119)( 65, 76)( 66,122)( 70, 95)( 71, 91)( 74,107)( 75,104)( 77, 83)( 78,141)
        ( 79,126)( 81, 86)( 82,145)( 85, 90)( 88, 94)( 89,146)( 92,130)( 93,149)( 97,102)( 98,131)(100,106)(101,154)
        (105,133)(108,114)(109,140)(110,134)(112,118)(113,128)(116,121)(117,124)(120,125)(123,129)(127,137)(132,153)
        (135,157)(136,155)(138,144)(139,158)(142,148)(143,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 66)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,101)( 48, 70)( 50, 56)( 51,104)( 54, 73)( 55,108)
        ( 58, 64)( 59,116)( 60, 78)( 62, 68)( 63,120)( 67, 81)( 71,100)( 72, 96)( 74, 80)( 75,131)( 76,109)( 79,112)
        ( 82, 87)( 83,121)( 85, 91)( 86,135)( 89, 95)( 90,138)( 93, 99)( 94,141)( 97,124)( 98,145)(102,107)(103,125)
        (105,111)(106,150)(110,127)(113,119)(114,153)(115,132)(117,123)(118,157)(122,134)(126,149)(128,133)(129,156)
        (130,151)(136,140)(137,158)(139,144)(142,148)(143,159)(146,152)(147,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,127)( 63, 91)( 65, 71)( 66,128)( 70, 95)( 74,103)( 75,100)( 77, 82)( 78,135)
        ( 79,119)( 81, 86)( 84, 90)( 85,136)( 88, 94)( 89,139)( 92,123)( 93,143)( 97,102)( 98,129)(101,125)(104,110)
        (105,144)(106,126)(108,114)(109,147)(112,118)(113,151)(116,122)(117,155)(120,131)(121,156)(124,130)(132,138)
        (133,158)(134,153)(137,142)(140,146)(141,159)(145,150)(148,154)(149,160)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 75)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 91)( 45, 51)( 46, 95)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 68)
        ( 58,107)( 61, 67)( 62,119)( 63, 83)( 66, 87)( 69, 74)( 70,127)( 71,111)( 73, 78)( 76, 82)( 77,128)( 80, 86)
        ( 81,131)( 84,115)( 85,135)( 89, 94)( 90,120)( 92, 98)( 93,121)( 96,102)( 97,117)(100,106)(101,140)(104,110)
        (105,143)(108,114)(109,147)(112,123)(113,148)(116,122)(118,139)(124,130)(125,158)(126,151)(129,134)(132,138)
        (133,159)(136,142)(137,156)(141,146)(144,150)(145,157)(149,153)(152,154)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 38, 43)( 39, 68)( 41, 47)( 42, 92)( 45, 51)( 46, 95)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 72)
        ( 58,107)( 61, 67)( 62,119)( 63, 87)( 66, 71)( 69, 91)( 70,120)( 73, 78)( 74,127)( 75,111)( 77, 82)( 80, 86)
        ( 81,128)( 84, 90)( 85,131)( 88,115)( 89,135)( 93, 98)( 94,121)( 96,102)( 97,117)(100,106)(101,140)(104,110)
        (105,143)(108,114)(109,147)(112,123)(113,150)(116,122)(118,139)(124,130)(125,158)(126,151)(129,134)(132,138)
        (133,159)(136,142)(137,156)(141,146)(144,149)(145,157)(148,153)(152,154)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 67)( 42, 48)( 43, 97)( 46, 69)( 47,101)( 50, 56)( 51,108)( 52, 70)( 54, 60)
        ( 55,112)( 58, 73)( 59,116)( 62, 68)( 63, 96)( 64, 89)( 71,104)( 72,102)( 74, 80)( 75,132)( 76,120)( 78, 84)
        ( 79,136)( 82, 88)( 83,139)( 86, 92)( 87,142)( 90,124)( 91,146)( 94,100)( 95,125)( 98,103)( 99,107)(105,111)
        (106,126)(109,115)(110,151)(113,119)(114,154)(117,123)(118,158)(121,128)(122,159)(127,150)(129,135)(130,148)
        (131,156)(133,138)(134,144)(137,141)(140,145)(143,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 69)( 43, 94)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,109)
        ( 58, 64)( 59,120)( 60, 89)( 62, 68)( 63,123)( 67, 93)( 71,100)( 72, 97)( 74, 80)( 75,135)( 76,112)( 78, 84)
        ( 79,139)( 82, 88)( 83,142)( 86, 92)( 87,145)( 90,116)( 91,149)( 95, 99)( 96,124)( 98,127)(101,107)(102,154)
        (103,128)(105,111)(106,157)(110,115)(113,131)(114,158)(117,122)(118,129)(119,153)(121,126)(125,130)(132,138)
        (133,151)(134,159)(136,141)(137,147)(140,144)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 98)( 45, 68)( 46,102)( 49, 55)( 50,113)( 51, 69)( 53, 59)( 54,117)
        ( 57, 72)( 58,118)( 61, 67)( 62,129)( 63, 88)( 66, 92)( 70,109)( 71,106)( 73, 79)( 74,138)( 75,121)( 77, 83)
        ( 78,141)( 81, 87)( 82,145)( 85, 91)( 86,146)( 89,125)( 90,149)( 93, 97)( 94,130)( 96,101)( 99,105)(100,131)
        (103,108)(104,127)(107,133)(110,116)(111,153)(112,134)(114,120)(115,157)(119,124)(122,137)(123,158)(126,132)
        (128,136)(135,150)(139,144)(140,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 43)( 39, 71)( 41, 47)( 42, 99)( 45, 74)( 46,102)( 49, 55)( 50,113)( 51, 75)( 53, 59)( 54,117)
        ( 57, 78)( 58,121)( 61, 66)( 62,129)( 63, 94)( 65, 70)( 68, 73)( 69,130)( 72, 98)( 76,109)( 77,106)( 79, 85)
        ( 80,138)( 81,122)( 83, 89)( 84,141)( 87, 93)( 88,145)( 91, 97)( 92,146)( 95,125)( 96,149)(100,105)(101,131)
        (103,108)(104,127)(107,133)(110,116)(111,153)(112,134)(114,120)(115,157)(118,124)(119,158)(123,137)(126,132)
        (128,136)(135,150)(139,144)(140,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 69)( 41, 47)( 42, 97)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,127)( 63, 92)( 65, 71)( 66,131)( 70, 96)( 74,107)( 75,104)( 77, 83)( 78,138)
        ( 79,120)( 81, 87)( 82,142)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93,123)( 94,153)( 98,103)( 99,132)(101,106)
        (102,129)(105,125)(108,114)(109,154)(110,126)(112,118)(113,157)(116,122)(117,158)(121,134)(124,130)(128,133)
        (135,141)(136,151)(137,159)(139,144)(140,147)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46, 99)( 49, 55)( 50,110)( 51, 69)( 53, 59)( 54,114)
        ( 57, 72)( 58,118)( 61, 67)( 62, 91)( 63, 84)( 66, 88)( 70,106)( 71,103)( 73, 79)( 74,134)( 75,119)( 78, 83)
        ( 81, 87)( 82,135)( 85,122)( 86,138)( 89, 95)( 90,123)( 93, 98)( 94,146)( 97,102)(100,105)(101,147)(104,126)
        (107,113)(108,150)(109,127)(111,117)(112,154)(115,121)(116,155)(120,130)(124,149)(125,142)(128,143)(129,148)
        (131,137)(132,158)(133,156)(136,141)(139,145)(140,159)(144,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 83)( 39, 44)( 40, 67)( 42, 71)( 43, 92)( 46, 52)( 47,103)( 48, 72)( 50, 55)( 51,107)( 54, 75)( 57, 62)
        ( 58,115)( 59, 87)( 61, 66)( 64, 70)( 65,116)( 68, 91)( 69,119)( 73, 99)( 74, 95)( 76, 82)( 77,134)( 78,108)
        ( 81, 86)( 84, 90)( 85,135)( 88,111)( 89,138)( 93, 98)( 94,122)( 96,126)( 97,147)(100,106)(101,154)(102,127)
        (104,110)(105,155)(109,130)(112,118)(113,124)(114,142)(117,121)(120,125)(123,146)(128,150)(129,148)(131,137)
        (132,158)(133,156)(136,141)(139,145)(140,159)(143,149)(144,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 84)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 48)( 43, 92)( 46, 52)( 47, 95)( 50, 56)( 51, 99)( 54, 73)( 55,103)( 58, 64)
        ( 59,115)( 60, 77)( 62, 68)( 63,116)( 66, 72)( 67,119)( 70, 81)( 71,122)( 75, 80)( 76,107)( 78,111)( 79,131)
        ( 82, 87)( 83,126)( 85, 91)( 86,139)( 89, 94)( 90,142)( 93, 98)( 96,102)( 97,143)(100,106)(101,146)(104,110)
        (105,150)(108,130)(109,151)(112,118)(113,124)(114,134)(117,121)(120,125)(123,129)(127,138)(128,135)(132,137)
        (133,154)(136,160)(140,145)(141,157)(144,149)(147,153)(148,158)(152,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 43)( 39,102)( 40, 71)( 42, 47)( 45, 74)( 46,103)( 49, 55)( 50,113)( 51, 75)( 53, 59)( 54,117)
        ( 57, 78)( 58,118)( 61, 66)( 62,129)( 63, 94)( 65, 70)( 68, 73)( 69,130)( 72, 98)( 76,109)( 77,106)( 79, 85)
        ( 80,141)( 81,121)( 83, 89)( 84,142)( 87, 93)( 88,145)( 91, 97)( 92,146)( 95,125)( 96,149)( 99,105)(100,136)
        (101,131)(104,108)(107,133)(110,116)(111,154)(112,134)(114,120)(115,157)(119,124)(122,137)(123,158)(126,132)
        (127,135)(128,153)(138,144)(139,151)(140,159)(143,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 85)( 34, 59)
        ( 35, 89)( 38, 43)( 39,101)( 40, 70)( 42, 47)( 45, 73)( 46,102)( 49, 54)( 50,113)( 51, 74)( 53, 58)( 56, 77)
        ( 57,114)( 60, 65)( 61,125)( 62, 93)( 64, 69)( 67, 72)( 68,126)( 71, 97)( 75,109)( 76,105)( 78, 84)( 79,137)
        ( 80,117)( 82, 88)( 83,138)( 86, 92)( 87,141)( 90, 96)( 91,142)( 94,121)( 95,145)( 98,104)( 99,153)(100,127)
        (103,108)(106,129)(107,154)(110,116)(111,157)(112,130)(115,120)(118,133)(119,158)(122,128)(123,156)(124,149)
        (131,150)(132,155)(134,140)(135,147)(136,159)(139,144)(143,148)(146,152)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 53)( 30, 36)( 31, 82)( 34, 56)
        ( 35, 86)( 38, 43)( 39, 98)( 40, 67)( 42, 47)( 45, 70)( 46, 99)( 49, 55)( 50,110)( 51, 71)( 54, 74)( 57, 62)
        ( 58,118)( 59, 90)( 61, 66)( 64, 69)( 65,119)( 68, 94)( 72,106)( 73,102)( 75, 81)( 76,130)( 77,111)( 79, 85)
        ( 80,131)( 83, 89)( 84,134)( 87, 93)( 88,135)( 91,114)( 92,138)( 95,101)( 96,146)( 97,120)(100,105)(103,122)
        (104,147)(107,113)(108,157)(109,123)(112,126)(115,121)(116,149)(117,142)(124,154)(125,150)(127,133)(128,140)
        (129,158)(132,137)(136,141)(139,145)(143,152)(144,159)(148,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46, 99)( 49, 55)( 50,110)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,115)( 61, 67)( 62,126)( 63, 91)( 66, 71)( 69, 95)( 70,127)( 74,106)( 75,103)( 77, 82)( 78,142)
        ( 79,118)( 81, 86)( 84, 90)( 85,143)( 88, 94)( 89,146)( 92,122)( 93,149)( 97,102)( 98,130)(100,105)(101,131)
        (104,134)(107,113)(108,154)(109,135)(111,117)(112,157)(116,121)(119,138)(120,158)(123,129)(124,136)(125,153)
        (128,133)(132,137)(139,145)(140,151)(141,159)(144,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 55)( 50,110)( 51, 72)( 53, 59)( 54,114)
        ( 57, 75)( 58,118)( 61, 67)( 62, 90)( 63, 83)( 66, 70)( 69, 87)( 73,106)( 74,103)( 76, 82)( 77,134)( 78,119)
        ( 81, 86)( 84,122)( 85,135)( 88, 94)( 89,123)( 92, 98)( 93,142)( 96,102)( 97,143)(100,105)(101,146)(104,126)
        (107,113)(108,154)(109,127)(111,117)(112,157)(115,121)(116,158)(120,130)(124,145)(125,138)(128,150)(129,147)
        (131,137)(132,152)(133,159)(136,141)(139,148)(140,153)(144,149)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 55)( 50,110)( 51, 72)( 53, 59)( 54,114)
        ( 57, 75)( 58,118)( 61, 66)( 62, 90)( 63, 83)( 65, 70)( 69, 87)( 73,106)( 74,103)( 76, 82)( 77,134)( 78,119)
        ( 81, 86)( 84,122)( 85,135)( 88, 94)( 89,123)( 92, 98)( 93,142)( 96,102)( 97,143)(100,105)(101,146)(104,126)
        (107,113)(108,154)(109,127)(111,117)(112,157)(115,121)(116,158)(120,130)(124,145)(125,138)(128,150)(129,147)
        (131,137)(132,152)(133,159)(136,141)(139,148)(140,153)(144,149)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 55)( 30, 36)( 31, 80)( 34, 59)
        ( 35, 83)( 38, 43)( 39, 95)( 40, 67)( 42, 47)( 45, 71)( 46, 96)( 49, 54)( 50,107)( 51, 72)( 53, 58)( 56, 75)
        ( 57,108)( 60, 66)( 61,119)( 62, 87)( 65, 70)( 68, 91)( 69,120)( 73,103)( 74, 99)( 76, 82)( 77,134)( 78,111)
        ( 81, 86)( 84, 90)( 85,135)( 88,115)( 89,138)( 92, 98)( 93,149)( 94,123)( 97,102)(100,126)(101,150)(104,110)
        (105,157)(106,127)(109,114)(112,130)(113,158)(116,122)(117,148)(118,141)(121,125)(124,145)(128,153)(129,151)
        (131,137)(132,143)(133,159)(136,140)(139,144)(142,155)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 80)( 34, 59)
        ( 35, 83)( 38, 43)( 39, 95)( 40, 68)( 42, 47)( 45, 71)( 46, 96)( 49, 55)( 50,107)( 51, 72)( 53, 58)( 54,111)
        ( 57, 75)( 60, 66)( 61,119)( 62, 87)( 64, 70)( 65,122)( 69, 91)( 73,103)( 74, 99)( 76, 82)( 77,134)( 78,112)
        ( 81, 86)( 84, 90)( 85,135)( 88,115)( 89,138)( 92, 98)( 93,149)( 94,123)( 97,102)(100,126)(101,150)(104,110)
        (105,157)(106,127)(108,114)(109,158)(113,130)(116,121)(117,148)(118,141)(120,125)(124,145)(128,153)(129,151)
        (131,137)(132,143)(133,159)(136,140)(139,144)(142,155)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,134)( 64, 95)( 66, 72)( 67,138)( 70, 75)( 71,102)( 74, 99)( 78,114)
        ( 79,111)( 81, 87)( 82,143)( 83,130)( 85, 90)( 86,146)( 89, 94)( 92, 98)( 93,147)( 96,116)( 97,150)(100,105)
        (101,139)(104,109)(107,113)(108,140)(112,136)(115,121)(117,137)(119,125)(120,151)(123,129)(124,154)(127,133)
        (128,158)(131,142)(132,159)(135,141)(144,149)(145,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,131)( 63, 95)( 65, 70)( 66,135)( 69, 74)( 72, 99)( 73,136)( 77,107)( 78,104)
        ( 80, 86)( 81,147)( 82,123)( 84, 90)( 85,151)( 88, 94)( 89,152)( 92, 98)( 93,149)( 96,127)( 97,145)(101,106)
        (102,139)(105,140)(108,114)(109,133)(110,141)(112,118)(113,129)(116,122)(117,155)(120,126)(121,158)(124,143)
        (125,159)(128,134)(130,154)(132,138)(137,142)(144,150)(146,157)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39,104)( 40, 72)( 42, 47)( 45, 76)( 46,105)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,120)( 61, 67)( 62,131)( 63, 96)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73,100)( 74,140)( 78,111)
        ( 79,108)( 81, 87)( 82,150)( 83,123)( 85, 91)( 86,154)( 89, 95)( 90,155)( 93, 99)( 94,152)( 97,127)( 98,148)
        (101,107)(102,145)(103,137)(106,110)(109,142)(112,118)(113,129)(114,143)(116,122)(117,158)(121,126)(124,146)
        (125,159)(128,134)(130,157)(132,138)(133,144)(136,141)(147,153)(149,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39,103)( 40, 71)( 42, 47)( 45, 75)( 46,104)( 49, 54)( 50,115)( 51, 76)( 53, 58)( 56, 79)
        ( 57,116)( 60, 66)( 61,127)( 62, 95)( 64, 70)( 65,131)( 68, 74)( 69,135)( 72, 99)( 73,136)( 77,111)( 78,107)
        ( 80, 86)( 81,146)( 82,119)( 84, 90)( 85,150)( 88, 94)( 89,151)( 92, 98)( 93,148)( 96,123)( 97,144)(100,106)
        (101,157)(102,133)(105,110)(108,138)(109,158)(112,118)(113,154)(114,139)(117,122)(120,142)(121,155)(124,130)
        (125,140)(126,153)(128,134)(129,160)(132,137)(141,159)(143,149)(145,156)(147,152),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 71)( 41, 47)( 42, 94)( 45, 75)( 46, 98)( 49, 55)( 50,106)( 51, 76)( 53, 59)( 54,110)
        ( 57, 79)( 58,114)( 61, 66)( 62,126)( 63, 87)( 65, 70)( 68, 74)( 69,127)( 72, 91)( 73,130)( 77,102)( 78, 99)
        ( 81, 86)( 82,118)( 84, 90)( 85,139)( 88,122)( 89,142)( 93, 97)( 95,101)( 96,131)(100,134)(103,109)(104,147)
        (105,135)(107,113)(108,150)(111,117)(112,154)(115,121)(116,158)(119,138)(120,159)(123,129)(124,136)(125,146)
        (128,133)(132,137)(140,145)(141,156)(143,149)(144,152)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 71)( 41, 47)( 42, 96)( 45, 75)( 46, 99)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,114)
        ( 57, 79)( 58,115)( 61, 67)( 62,126)( 63, 91)( 65, 70)( 66,130)( 69, 74)( 72, 95)( 73,131)( 77,106)( 78,103)
        ( 81, 86)( 82,118)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92,122)( 93,146)( 97,102)( 98,134)(100,105)(101,154)
        (104,137)(107,113)(108,150)(109,138)(111,117)(112,157)(116,121)(119,141)(120,158)(123,129)(124,139)(125,149)
        (127,133)(128,156)(132,136)(135,153)(140,155)(143,148)(144,159)(147,152)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 72)( 41, 47)( 42, 96)( 45, 75)( 46, 99)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,114)
        ( 57, 79)( 58,118)( 61, 67)( 62,126)( 63, 91)( 65, 71)( 66,130)( 69, 74)( 70,133)( 73, 95)( 77,106)( 78,103)
        ( 81, 86)( 82,119)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92,122)( 93,146)( 97,102)( 98,134)(100,105)(101,154)
        (104,137)(107,113)(108,150)(109,138)(111,117)(112,157)(115,121)(116,158)(120,141)(123,129)(124,139)(125,149)
        (127,132)(128,156)(131,136)(135,153)(140,155)(143,148)(144,159)(147,152)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 74)( 27, 55)( 29, 34)( 32, 58)( 33, 75)( 36, 42)
        ( 37, 85)( 38, 63)( 40, 46)( 41, 89)( 44, 66)( 45, 93)( 48, 54)( 49,105)( 50, 67)( 52, 57)( 53,109)( 56, 70)
        ( 59, 65)( 60,117)( 61, 78)( 64, 82)( 68,101)( 69, 97)( 71, 77)( 72,129)( 73,110)( 76, 81)( 79,113)( 80,130)
        ( 83, 88)( 84,118)( 86, 92)( 87,138)( 90, 96)( 91,141)( 94,100)( 95,142)( 98,121)( 99,145)(102,108)(103,153)
        (104,122)(106,112)(107,154)(111,125)(114,120)(115,157)(116,133)(119,137)(123,149)(124,146)(126,132)(127,135)
        (128,155)(131,136)(134,151)(139,144)(140,158)(143,148)(147,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42, 95)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,122)( 65, 76)( 66,123)( 70, 91)( 71, 89)( 74,111)( 75,107)( 77, 83)( 78,138)
        ( 79,126)( 81, 87)( 82,142)( 85, 90)( 86, 94)( 92, 98)( 93,143)( 96,102)( 97,146)(100,106)(101,150)(104,110)
        (105,154)(108,130)(109,155)(112,118)(113,137)(114,131)(116,121)(117,128)(120,125)(124,129)(127,134)(132,157)
        (133,152)(135,141)(136,158)(139,145)(140,159)(144,149)(147,153)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 41)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 44)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 42, 47)( 43, 65)( 45, 68)( 46, 92)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 91)( 67, 87)( 70, 99)( 71, 95)( 73, 79)( 74,126)( 75,112)( 77, 83)( 78,130)
        ( 81, 86)( 82,134)( 85, 90)( 88,115)( 89,135)( 93, 98)( 94,116)( 96,119)( 97,143)(100,106)(101,153)(102,120)
        (105,110)(108,114)(109,154)(113,123)(117,142)(118,138)(121,149)(122,145)(124,129)(125,155)(127,133)(128,151)
        (131,137)(132,159)(136,141)(139,147)(140,160)(144,148)(146,157)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 87)( 45, 51)( 46, 91)( 49, 68)( 50, 95)( 53, 59)( 54,107)( 55, 69)( 57, 63)
        ( 58,111)( 61, 67)( 62,112)( 65, 72)( 66,115)( 70,103)( 71, 99)( 73, 79)( 74,130)( 75,118)( 77, 83)( 78,134)
        ( 81, 86)( 82,138)( 85, 90)( 88, 94)( 89,139)( 92, 98)( 93,142)( 96,102)( 97,146)(100,122)(101,147)(104,110)
        (105,129)(106,123)(108,114)(109,120)(113,117)(116,121)(119,126)(124,153)(125,150)(127,133)(128,154)(131,137)
        (132,155)(135,141)(136,159)(140,145)(143,149)(144,160)(148,152)(151,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 41)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 48)( 27, 44)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 42, 47)( 43, 65)( 45, 68)( 46, 92)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 91)( 67, 87)( 70, 99)( 71, 95)( 73, 79)( 74,127)( 75,114)( 77, 83)( 78,130)
        ( 81, 86)( 82,134)( 85, 90)( 88,118)( 89,135)( 93, 98)( 94,119)( 96,122)( 97,143)(100,106)(101,153)(102,123)
        (105,110)(108,113)(109,154)(112,117)(115,126)(116,155)(120,142)(121,138)(124,149)(125,146)(128,133)(129,151)
        (131,137)(132,159)(136,141)(139,145)(140,160)(144,148)(147,157)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 45)( 12, 21)( 14, 19)
        ( 15, 56)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 68)( 27, 48)( 30, 52)( 33, 39)( 34, 73)( 35, 57)
        ( 37, 43)( 38, 76)( 41, 60)( 42, 80)( 46, 51)( 47, 61)( 49, 64)( 50, 89)( 53, 59)( 54,100)( 55, 69)( 58, 72)
        ( 62, 88)( 63, 84)( 65, 71)( 66,112)( 67, 92)( 70, 96)( 74, 79)( 75,101)( 77, 83)( 78,117)( 81, 87)( 82,120)
        ( 85,104)( 86,124)( 90, 95)( 91,105)( 93,108)( 94,133)( 97,103)( 98,143)( 99,113)(102,116)(106,132)(107,128)
        (109,115)(110,151)(111,135)(114,139)(118,123)(119,144)(121,127)(122,155)(125,131)(126,157)(129,137)(130,150)
        (134,138)(136,147)(140,146)(141,159)(142,152)(145,154)(148,153)(149,158)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 30)( 18, 33)( 19, 57)( 23, 44)( 24, 40)( 26, 32)( 27, 72)( 28, 48)( 31, 52)( 34, 39)( 35, 60)
        ( 37, 43)( 38, 77)( 41, 64)( 42, 80)( 46, 51)( 47, 65)( 49, 68)( 50, 89)( 53, 59)( 54,100)( 55, 73)( 58, 63)
        ( 61, 76)( 62,101)( 66, 88)( 67, 84)( 69, 75)( 70,116)( 71, 92)( 74, 96)( 78, 83)( 79,104)( 81, 87)( 82,121)
        ( 85,108)( 86,124)( 90, 95)( 91,109)( 93,112)( 94,133)( 97,103)( 98,143)( 99,117)(102,107)(105,120)(106,144)
        (110,132)(111,128)(113,119)(114,154)(115,136)(118,139)(122,127)(123,147)(125,131)(126,158)(129,135)(130,153)
        (134,138)(137,150)(140,146)(141,160)(142,155)(145,149)(148,157)(151,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 30)( 18, 33)( 19, 60)( 23, 44)( 24, 40)( 26, 32)( 27, 72)( 28, 49)( 31, 52)( 34, 39)( 35, 61)
        ( 37, 43)( 38, 77)( 41, 64)( 42, 80)( 45, 51)( 46, 92)( 47, 65)( 50, 68)( 53, 59)( 54,100)( 55, 73)( 57, 63)
        ( 58,104)( 62, 76)( 66, 88)( 67, 84)( 69, 75)( 70,116)( 71, 93)( 74, 96)( 78, 83)( 79,105)( 81, 87)( 82,121)
        ( 85,108)( 86,124)( 89, 95)( 90,135)( 91,109)( 94,112)( 97,103)( 98,143)( 99,117)(101,107)(102,146)(106,120)
        (110,132)(111,128)(113,119)(114,154)(115,136)(118,139)(122,127)(123,147)(125,131)(126,158)(129,134)(130,153)
        (133,138)(137,150)(140,145)(141,160)(142,155)(144,149)(148,157)(151,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 72)( 36, 42)
        ( 37, 75)( 40, 46)( 41, 79)( 44, 50)( 45, 83)( 48, 67)( 49, 87)( 52, 58)( 53, 99)( 54, 68)( 56, 62)( 57,103)
        ( 60, 66)( 61,107)( 64, 71)( 65,111)( 69, 95)( 70, 91)( 73, 78)( 74,115)( 76, 82)( 77,116)( 80, 86)( 81,123)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 92,119)( 93,132)( 96,102)( 97,142)( 98,120)(100,106)(101,143)(104,110)
        (105,146)(108,114)(109,149)(112,118)(113,153)(117,126)(121,138)(122,135)(124,130)(125,154)(128,134)(129,160)
        (133,137)(136,157)(139,145)(140,151)(141,158)(144,148)(147,152)(150,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,138)( 64, 95)( 66, 72)( 67,142)( 70, 75)( 71,102)( 74, 99)( 78,114)
        ( 79,112)( 81, 87)( 82, 97)( 83,130)( 85, 90)( 86, 93)( 89, 94)( 92, 98)( 96,134)(100,106)(101,143)(104,110)
        (105,146)(108,113)(109,117)(115,121)(116,147)(119,125)(120,150)(123,129)(124,154)(127,133)(128,158)(131,137)
        (132,159)(135,141)(136,156)(139,145)(140,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,103)( 46, 52)( 47,107)( 50, 56)( 51,110)( 54, 60)( 55,114)
        ( 58, 76)( 59,118)( 62, 68)( 63,130)( 64, 91)( 66, 72)( 67,134)( 70, 75)( 71, 98)( 74, 95)( 77, 83)( 78, 93)
        ( 79,122)( 81, 86)( 82, 89)( 85, 90)( 88, 94)( 92,126)( 96,102)( 97,135)(100,106)(101,138)(104,109)(105,142)
        (108,113)(111,117)(112,143)(115,121)(116,146)(119,125)(120,150)(123,129)(124,151)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 98)( 46, 72)( 47,102)( 51, 56)( 52, 73)( 54, 76)( 55,111)
        ( 58, 64)( 59,122)( 60, 87)( 62, 67)( 63,126)( 66, 71)( 69, 91)( 70,127)( 74,110)( 75,106)( 77, 83)( 78, 89)
        ( 79,114)( 82, 86)( 85, 90)( 88,118)( 92, 97)( 93,142)( 94,130)( 96,101)( 99,105)(100,143)(103,109)(104,144)
        (107,134)(108,140)(112,117)(113,135)(115,121)(116,151)(119,125)(120,153)(123,129)(124,157)(128,133)(131,138)
        (132,158)(136,150)(137,146)(139,145)(141,149)(147,155)(148,159)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,102)( 51, 56)( 52, 73)( 54, 76)( 55,111)
        ( 58, 64)( 59,122)( 60, 87)( 62, 67)( 63,126)( 66, 71)( 69, 91)( 70,127)( 74,110)( 75,106)( 77, 82)( 78, 89)
        ( 79,114)( 81, 86)( 85, 90)( 88,118)( 92, 98)( 93,142)( 94,130)( 96,101)( 97,143)(100,105)(103,109)(104,144)
        (107,134)(108,140)(112,117)(113,135)(115,121)(116,151)(119,125)(120,153)(123,129)(124,157)(128,133)(131,138)
        (132,158)(136,150)(137,146)(139,145)(141,149)(147,155)(148,159)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 40)( 11, 20)( 13, 18)( 14, 51)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 67)( 30, 52)( 32, 38)( 33, 71)( 36, 55)
        ( 37, 75)( 41, 46)( 42, 56)( 44, 59)( 45, 84)( 48, 54)( 49, 95)( 50, 60)( 53, 63)( 57, 83)( 58, 79)( 61, 91)
        ( 62, 87)( 64, 70)( 65,111)( 66, 96)( 68, 74)( 69,112)( 72, 78)( 73,115)( 76, 82)( 77,119)( 80, 99)( 81,123)
        ( 85, 90)( 86,100)( 88,103)( 89,132)( 92, 98)( 93,142)( 94,104)( 97,107)(101,131)(102,127)(105,138)(106,134)
        (108,114)(109,154)(110,143)(113,118)(116,122)(117,155)(120,126)(121,152)(124,130)(125,157)(128,136)(129,149)
        (133,137)(135,146)(139,145)(140,159)(141,147)(144,150)(148,158)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 37)( 11, 21)( 13, 19)( 14, 48)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 36)( 23, 32)( 26, 44)( 27, 40)( 30, 35)( 31, 56)( 33, 60)( 34, 69)( 38, 43)
        ( 39, 61)( 41, 64)( 42, 77)( 45, 51)( 46, 88)( 47, 65)( 49, 55)( 50, 92)( 53, 59)( 54, 96)( 57, 68)( 58,100)
        ( 62, 76)( 63, 72)( 66, 84)( 67, 80)( 70, 75)( 71,104)( 73,108)( 74,117)( 78, 83)( 79,109)( 81,112)( 82,125)
        ( 85, 91)( 86,134)( 87,113)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,103)( 98,143)(101,107)(102,146)(105,116)
        (106,149)(110,124)(111,120)(114,131)(115,127)(118,123)(119,153)(121,129)(122,160)(126,130)(128,157)(132,137)
        (133,158)(135,141)(136,155)(139,145)(140,151)(144,148)(147,152)(150,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 37)( 11, 21)( 13, 19)( 14, 48)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 36)( 23, 32)( 26, 44)( 27, 40)( 30, 35)( 31, 56)( 33, 60)( 34, 69)( 38, 43)
        ( 39, 61)( 41, 64)( 42, 77)( 45, 51)( 46, 88)( 47, 65)( 49, 55)( 50, 92)( 53, 59)( 54, 96)( 57, 68)( 58,100)
        ( 62, 76)( 63, 72)( 66, 84)( 67, 80)( 70, 75)( 71,104)( 73,108)( 74,117)( 78, 83)( 79,109)( 81,112)( 82,125)
        ( 85, 91)( 86,134)( 87,113)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,103)( 98,145)(101,107)(102,146)(105,116)
        (106,149)(110,124)(111,120)(114,131)(115,127)(118,123)(119,153)(121,129)(122,160)(126,130)(128,157)(132,137)
        (133,158)(135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 71)( 43, 96)( 46, 52)( 47,103)( 48, 72)( 50, 56)( 51,107)( 54, 75)( 55,111)
        ( 58, 63)( 59,118)( 60, 91)( 62, 67)( 65, 70)( 66,119)( 69, 95)( 73, 99)( 74, 97)( 76, 82)( 77,126)( 78,115)
        ( 80, 86)( 81,130)( 84, 90)( 85,133)( 88, 94)( 89,137)( 92,101)( 93,141)( 98,120)(100,106)(102,121)(104,110)
        (105,142)(108,114)(109,145)(112,117)(113,149)(116,122)(123,129)(124,157)(125,150)(127,132)(128,158)(131,136)
        (134,140)(135,159)(138,144)(139,155)(143,148)(146,152)(147,156)(151,153)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 67)( 42, 48)( 43, 96)( 46, 69)( 47, 99)( 50, 56)( 51,107)( 52, 70)( 54, 60)
        ( 55,111)( 58, 73)( 59,115)( 62, 68)( 63, 95)( 64, 88)( 71,103)( 72,100)( 74, 79)( 75,119)( 77, 83)( 78,127)
        ( 81, 87)( 82,130)( 85, 91)( 86,134)( 89,122)( 90,138)( 93, 98)( 94,123)( 97,102)(101,124)(104,110)(105,139)
        (106,125)(108,114)(109,142)(112,118)(113,146)(116,121)(117,150)(120,126)(128,133)(129,151)(131,137)(132,155)
        (135,141)(136,158)(140,145)(143,149)(144,159)(147,153)(148,157)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 75)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 87)( 39, 65)( 41, 47)( 42, 91)( 45, 67)( 46, 95)( 49, 55)( 50,103)( 51, 68)( 53, 59)( 54,107)
        ( 57, 71)( 58,111)( 61, 66)( 62, 90)( 63, 83)( 69, 99)( 70, 96)( 73, 78)( 74,115)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84,118)( 85,134)( 88, 94)( 89,119)( 92, 98)( 93,125)( 97,122)(100,106)(101,139)(102,123)(104,110)
        (105,142)(108,114)(109,146)(112,117)(113,150)(116,126)(120,124)(121,138)(128,133)(129,151)(131,137)(132,155)
        (135,141)(136,158)(140,145)(143,149)(144,159)(147,153)(148,157)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 69)( 41, 47)( 42, 97)( 45, 72)( 46,100)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,116)( 61, 67)( 62,123)( 63, 92)( 65, 71)( 66,127)( 70, 96)( 74,104)( 75,101)( 77, 83)( 78,131)
        ( 79,120)( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93,106)( 94,145)( 98,103)( 99,128)(102,125)
        (105,111)(107,126)(109,115)(110,146)(113,119)(114,149)(117,122)(118,153)(121,130)(124,129)(132,137)(133,154)
        (135,140)(136,158)(139,144)(142,148)(143,159)(147,152)(150,156)(151,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 85)( 34, 59)
        ( 35, 89)( 38, 43)( 39, 70)( 41, 46)( 42, 98)( 45, 73)( 48, 54)( 49, 94)( 50, 74)( 52, 58)( 53,101)( 56, 77)
        ( 57,105)( 60, 66)( 61, 75)( 62, 93)( 64, 69)( 65,100)( 68, 72)( 71, 97)( 76, 99)( 78, 84)( 79,117)( 80,109)
        ( 82, 88)( 83,121)( 86, 92)( 87,125)( 90, 96)( 91,129)( 95,104)(102,108)(103,130)(106,112)(107,133)(110,113)
        (111,137)(114,120)(115,146)(116,141)(118,124)(119,149)(122,128)(123,150)(126,132)(127,153)(131,136)(134,140)
        (135,154)(138,144)(139,157)(142,145)(143,158)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 85)( 34, 59)
        ( 35, 89)( 38, 43)( 39, 76)( 40, 70)( 42, 46)( 45, 73)( 48, 54)( 49,101)( 50, 74)( 52, 58)( 53,105)( 56, 77)
        ( 57,109)( 60, 66)( 61,103)( 62, 93)( 64, 69)( 65,100)( 68, 72)( 71, 97)( 75, 98)( 78, 84)( 79,121)( 80,113)
        ( 82, 88)( 83,125)( 86, 92)( 87,129)( 90, 96)( 91,133)( 94,107)( 95,137)( 99,104)(102,108)(106,112)(110,116)
        (111,138)(114,117)(115,141)(118,124)(119,153)(120,145)(122,128)(123,154)(126,132)(127,155)(130,136)(131,151)
        (134,140)(135,157)(139,144)(142,148)(143,158)(146,149)(147,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39, 71)( 41, 46)( 42, 99)( 45, 74)( 48, 54)( 49,106)( 50, 75)( 52, 58)( 53,110)( 56, 78)
        ( 57,114)( 60, 66)( 61,108)( 62, 94)( 64, 70)( 65,104)( 68, 73)( 69,122)( 72, 98)( 76,102)( 77,100)( 79, 85)
        ( 80,126)( 81,118)( 83, 89)( 84,129)( 87, 93)( 88,133)( 91, 97)( 92,137)( 95,112)( 96,141)(101,123)(103,109)
        (105,124)(107,113)(111,117)(115,121)(116,142)(119,125)(120,145)(127,132)(128,149)(130,136)(131,154)(134,140)
        (135,155)(138,144)(139,157)(143,148)(146,152)(147,158)(150,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 23)( 10, 35)( 11, 21)( 13, 19)( 14, 47)
        ( 15, 24)( 17, 27)( 18, 50)( 22, 31)( 25, 43)( 26, 39)( 29, 34)( 30, 54)( 32, 38)( 33, 63)( 36, 42)( 37, 66)
        ( 40, 58)( 41, 70)( 44, 49)( 45, 82)( 46, 59)( 48, 53)( 51, 57)( 52, 83)( 55, 62)( 56, 86)( 60, 78)( 61, 74)
        ( 64, 69)( 65, 90)( 67, 73)( 68, 99)( 71, 77)( 72,102)( 75, 94)( 76,106)( 79, 85)( 80,118)( 81, 95)( 84, 89)
        ( 87, 93)( 88,119)( 91, 98)( 92,122)( 96,114)( 97,110)(100,105)(101,126)(103,109)(104,135)(107,113)(108,138)
        (111,130)(112,142)(115,121)(116,149)(117,131)(120,125)(123,129)(124,150)(127,134)(128,153)(132,146)(133,143)
        (136,141)(137,154)(139,145)(140,160)(144,157)(147,152)(148,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 11)(  3,  8)(  5, 19)(  6, 28)(  7, 15)(  9, 23)( 10, 20)( 12, 18)( 13, 43)( 14, 24)
        ( 16, 27)( 17, 47)( 21, 35)( 22, 31)( 25, 39)( 26, 36)( 29, 34)( 30, 51)( 32, 54)( 33, 63)( 37, 58)( 38, 55)
        ( 40, 46)( 41, 78)( 42, 59)( 44, 50)( 45, 82)( 48, 53)( 49, 86)( 52, 62)( 56, 70)( 57, 66)( 60, 74)( 61, 71)
        ( 64, 69)( 65, 87)( 67, 90)( 68, 99)( 72, 94)( 73, 91)( 75, 81)( 76,114)( 77, 95)( 79, 85)( 80,118)( 83, 89)
        ( 84,122)( 88, 98)( 92,106)( 93,102)( 96,110)( 97,107)(100,105)(101,123)(103,126)(104,135)(108,130)(109,127)
        (111,117)(112,149)(113,131)(115,121)(116,150)(119,125)(120,153)(124,134)(128,142)(129,138)(132,146)(133,143)
        (136,141)(137,154)(139,145)(140,160)(144,157)(147,152)(148,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 20)(  4,  9)(  6, 12)(  7, 27)(  8, 14)( 10, 16)( 11, 31)( 15, 24)( 17, 23)
        ( 18, 43)( 19, 35)( 21, 26)( 22, 47)( 25, 30)( 28, 34)( 29, 48)( 32, 38)( 33, 51)( 36, 39)( 37, 55)( 40, 46)
        ( 41, 67)( 42, 59)( 44, 50)( 45, 71)( 49, 54)( 52, 58)( 53, 72)( 56, 62)( 57, 75)( 60, 63)( 61, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 73, 78)( 76, 82)( 77, 96)( 80, 86)( 81, 99)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 97,102)(100,106)(101,120)(104,110)(105,123)(108,111)(109,127)(112,118)
        (113,138)(114,131)(116,122)(117,142)(121,126)(124,130)(125,143)(128,134)(129,146)(132,135)(133,150)(136,141)
        (137,154)(139,145)(140,158)(144,149)(147,153)(148,159)(151,156)(152,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,122)( 62, 68)( 63,134)( 64, 92)( 67, 72)( 70, 96)( 71,135)( 75,112)( 76,108)( 78, 84)
        ( 79,145)( 80,126)( 82, 87)( 83,149)( 86, 91)( 89, 95)( 90,150)( 93,130)( 94,153)( 98,103)( 99,136)(101,107)
        (102,132)(105,111)(106,158)(109,138)(110,144)(113,118)(114,124)(115,139)(117,121)(120,125)(123,129)(127,141)
        (128,140)(131,137)(133,157)(142,148)(143,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 70)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,118)( 58, 77)( 59,122)( 62, 68)( 63,133)( 64, 92)( 66, 72)( 67,134)( 71, 96)( 75,112)( 76,108)( 78, 84)
        ( 79,145)( 80,125)( 82, 87)( 83,149)( 86, 91)( 89, 95)( 90,150)( 93,129)( 94,153)( 98,103)( 99,135)(101,107)
        (102,131)(105,111)(106,158)(109,137)(110,144)(113,117)(114,138)(116,121)(119,124)(120,139)(123,128)(126,141)
        (127,140)(130,136)(132,157)(142,148)(143,159)(146,152)(147,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,122)( 61, 67)( 62,134)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,138)( 73, 92)( 74,139)( 78,112)
        ( 79,108)( 81, 87)( 82,149)( 83,126)( 86, 91)( 89,130)( 90,150)( 93, 99)( 94,132)( 95,140)( 97,103)( 98,154)
        (101,107)(102,157)(105,111)(106,158)(109,142)(110,148)(113,118)(114,124)(115,143)(117,121)(120,125)(123,129)
        (127,145)(128,144)(131,137)(133,153)(136,141)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,122)( 61, 67)( 62,133)( 63, 88)( 65, 71)( 66,137)( 69, 75)( 70,138)( 73, 92)( 74,139)( 78,112)
        ( 79,108)( 81, 87)( 82,149)( 83,125)( 86, 91)( 89,129)( 90,150)( 93, 99)( 94,131)( 95,135)( 97,103)( 98,154)
        (101,107)(102,157)(105,111)(106,158)(109,141)(110,148)(113,117)(114,142)(116,121)(119,124)(120,143)(123,128)
        (126,145)(127,144)(130,136)(132,153)(134,140)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 84)( 65, 71)( 66,134)( 70, 88)( 74,108)( 75,104)( 78, 83)( 79,122)
        ( 81, 87)( 82,142)( 85,126)( 86,145)( 89, 95)( 90,154)( 91,135)( 93, 99)( 94,157)( 97,103)( 98,151)(101,107)
        (102,147)(105,138)(106,144)(109,114)(110,120)(111,139)(113,117)(116,121)(119,125)(123,141)(124,140)(127,133)
        (128,159)(129,149)(131,137)(132,156)(136,153)(143,148)(146,152)(150,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 80)( 28, 56)( 30, 35)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 84)( 65, 71)( 66,134)( 70, 88)( 74,108)( 75,104)( 77, 83)( 78,145)
        ( 79,122)( 82, 87)( 85,126)( 86,146)( 89, 95)( 90,150)( 91,135)( 93, 99)( 94,151)( 97,103)( 98,153)(101,107)
        (102,157)(105,138)(106,144)(109,114)(110,120)(111,139)(113,117)(116,121)(119,125)(123,141)(124,140)(127,133)
        (128,159)(129,147)(131,137)(132,155)(136,149)(142,148)(143,158)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 85)( 65, 71)( 66,134)( 70, 88)( 74,108)( 75,104)( 77, 83)( 78,145)
        ( 79,122)( 81, 87)( 82,146)( 86,126)( 89, 95)( 90,150)( 91,135)( 93, 99)( 94,151)( 97,103)( 98,153)(101,107)
        (102,157)(105,138)(106,144)(109,114)(110,120)(111,139)(113,117)(116,121)(119,125)(123,141)(124,140)(127,133)
        (128,159)(129,147)(131,137)(132,155)(136,149)(142,148)(143,158)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 93)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,129)( 63, 88)( 65, 71)( 66,133)( 69, 75)( 70,134)( 73, 92)( 74,137)( 78,108)
        ( 79,104)( 81, 87)( 82,149)( 83,121)( 86, 91)( 89,125)( 90,150)( 94, 99)( 95,138)( 97,103)( 98,154)(101,107)
        (102,157)(105,141)(106,148)(109,113)(110,142)(112,117)(115,120)(116,143)(119,124)(122,145)(123,144)(126,132)
        (127,159)(128,151)(130,136)(131,156)(135,140)(139,153)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 88)( 34, 60)
        ( 37, 43)( 38, 93)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,129)( 63, 89)( 65, 71)( 66,133)( 69, 75)( 70,134)( 73, 92)( 74,137)( 78,108)
        ( 79,104)( 81, 87)( 82,149)( 83,121)( 85, 91)( 86,150)( 90,125)( 94, 99)( 95,138)( 97,103)( 98,154)(101,107)
        (102,157)(105,141)(106,148)(109,113)(110,142)(112,117)(115,120)(116,143)(119,124)(122,145)(123,144)(126,132)
        (127,159)(128,151)(130,136)(131,156)(135,140)(139,153)(146,152)(147,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,109)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 81)( 62, 68)( 63,131)( 66, 72)( 67,132)( 70, 85)( 71,135)( 75,105)( 76,101)( 79, 84)
        ( 80,119)( 82,123)( 83,143)( 86, 92)( 87,151)( 88,136)( 90, 96)( 91,154)( 94,100)( 95,158)( 98,104)( 99,148)
        (102,139)(103,145)(106,111)(107,117)(108,140)(110,114)(113,118)(116,122)(120,142)(121,141)(124,130)(125,156)
        (126,146)(128,134)(129,153)(133,138)(137,150)(144,149)(147,159)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 42, 48)( 43,105)( 46, 73)( 47,109)( 50, 56)( 51,121)( 52, 74)( 54, 60)
        ( 55,124)( 58, 77)( 59,127)( 63, 68)( 64, 93)( 66, 72)( 67, 94)( 70, 97)( 71,135)( 75,117)( 76,113)( 78, 84)
        ( 79,145)( 80,131)( 82, 88)( 83,149)( 86, 92)( 87,153)( 90, 96)( 91,157)( 95,138)( 98,104)( 99,159)(100,136)
        (102,108)(103,155)(106,112)(107,151)(110,116)(111,147)(114,139)(115,144)(118,123)(119,129)(120,140)(122,126)
        (125,130)(128,134)(132,142)(133,141)(137,158)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,126)( 60, 81)( 62, 68)( 63,130)( 66, 72)( 67,134)( 70, 85)( 71,135)( 75,105)( 76,101)( 79, 84)
        ( 80,118)( 82,122)( 83,143)( 86, 92)( 87,150)( 88,136)( 90, 96)( 91,154)( 94,100)( 95,158)( 98,104)( 99,148)
        (102,138)(103,145)(106,110)(107,139)(109,114)(112,117)(113,140)(116,121)(119,142)(120,141)(123,129)(124,156)
        (125,146)(127,133)(128,152)(131,137)(132,153)(144,149)(147,159)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110)(111,112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,105)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 68)( 63, 71)( 64, 92)( 67, 72)( 70, 96)( 75,108)( 77, 83)( 78,131)( 79,123)
        ( 81, 87)( 82,135)( 85, 91)( 86,136)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,103)( 98,146)(101,107)(102,150)
        (106,111)(109,115)(110,151)(113,119)(114,154)(117,122)(118,158)(121,126)(124,127)(125,159)(128,134)(129,148)
        (130,156)(132,138)(133,144)(137,141)(140,145)(143,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,105)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 68)( 63, 71)( 64, 92)( 67, 72)( 70, 96)( 75,108)( 77, 83)( 78,131)( 79,123)
        ( 81, 87)( 82,135)( 85, 91)( 86,138)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,103)( 98,146)(101,107)(102,150)
        (106,111)(109,115)(110,151)(113,119)(114,154)(117,122)(118,158)(121,126)(124,127)(125,159)(128,134)(129,148)
        (130,156)(132,137)(133,144)(136,141)(140,145)(143,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 39, 44)( 40, 64)( 42, 68)( 43, 93)( 46, 51)( 47,104)( 48, 69)( 50, 55)( 53, 72)( 54,105)( 57, 63)
        ( 58,116)( 59, 88)( 62, 67)( 65, 92)( 66,117)( 70,100)( 71, 96)( 73, 79)( 74,131)( 75,108)( 77, 83)( 78,135)
        ( 81, 87)( 82,136)( 85, 91)( 86,139)( 89,112)( 90,142)( 94, 99)( 95,120)( 97,124)( 98,151)(101,107)(102,158)
        (103,125)(106,111)(109,127)(110,159)(113,119)(114,122)(115,146)(118,123)(121,150)(126,154)(128,134)(129,148)
        (130,156)(132,138)(133,144)(137,141)(140,145)(143,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 39, 44)( 40, 64)( 42, 68)( 43, 93)( 46, 51)( 47,104)( 48, 69)( 50, 55)( 53, 72)( 54,105)( 57, 63)
        ( 58,116)( 59, 88)( 62, 67)( 65, 92)( 66,117)( 70,100)( 71, 96)( 73, 79)( 74,131)( 75,108)( 77, 83)( 78,135)
        ( 81, 87)( 82,138)( 85, 91)( 86,139)( 89,112)( 90,142)( 94, 99)( 95,120)( 97,124)( 98,151)(101,107)(102,158)
        (103,125)(106,111)(109,127)(110,159)(113,119)(114,122)(115,146)(118,123)(121,150)(126,154)(128,134)(129,148)
        (130,156)(132,137)(133,144)(136,141)(140,145)(143,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 87)( 42, 69)( 43, 91)( 46, 52)( 47, 99)( 48, 70)( 50, 56)( 51,103)( 54, 72)( 55,107)
        ( 58, 64)( 59,118)( 60, 77)( 63, 68)( 66, 80)( 67,119)( 71, 95)( 73, 79)( 74,130)( 75,110)( 78,114)( 81, 86)
        ( 82,138)( 83,122)( 85, 90)( 88, 94)( 89,139)( 92, 98)( 93,142)( 96,102)( 97,146)(100,106)(101,150)(104,109)
        (105,154)(108,113)(111,126)(112,155)(115,121)(116,124)(117,131)(120,125)(123,134)(127,133)(128,157)(129,152)
        (132,137)(135,141)(136,158)(140,145)(143,149)(144,159)(147,153)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 55)( 30, 35)( 33, 59)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 92)( 45, 71)( 46, 95)( 49, 54)( 50,107)( 51, 72)( 53, 58)( 56, 75)
        ( 57,108)( 60, 66)( 61,119)( 62, 83)( 64, 70)( 65,123)( 69, 87)( 73,103)( 74, 99)( 76, 82)( 77,134)( 78,111)
        ( 81, 86)( 84,115)( 85,135)( 88, 94)( 89,142)( 90,124)( 93, 98)( 96,102)( 97,143)(100,127)(101,146)(104,110)
        (105,154)(106,128)(109,114)(112,130)(113,155)(116,122)(117,157)(118,136)(120,126)(121,141)(125,138)(129,150)
        (131,137)(132,160)(133,152)(139,145)(140,158)(144,149)(147,153)(148,159)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 89)( 42, 73)( 43, 92)( 46, 52)( 47,100)( 48, 74)( 50, 56)( 51,104)( 54, 76)( 55,108)
        ( 58, 64)( 59,119)( 60, 80)( 62, 68)( 63,123)( 66, 72)( 67,124)( 70, 84)( 71,127)( 75, 96)( 78, 83)( 79,111)
        ( 81,115)( 82,136)( 85, 91)( 86,146)( 87,131)( 90, 95)( 93, 99)( 94,147)( 97,103)( 98,150)(101,107)(102,154)
        (105,110)(106,158)(109,114)(112,135)(113,159)(116,122)(117,133)(118,139)(120,126)(121,129)(125,130)(128,134)
        (132,143)(137,142)(138,156)(140,145)(141,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 68)( 42, 47)( 45, 72)( 46,101)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,129)( 63, 92)( 66, 71)( 69, 96)( 70,130)( 74,107)( 75,104)( 77, 83)( 78,141)
        ( 79,122)( 81, 87)( 82,142)( 85, 91)( 86,145)( 89, 95)( 90,146)( 93,125)( 94,149)( 97,103)( 98,136)( 99,131)
        (102,106)(105,133)(108,114)(109,154)(110,134)(112,117)(113,157)(116,121)(119,124)(120,158)(123,137)(126,132)
        (127,135)(128,153)(138,144)(139,151)(140,159)(143,148)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 94)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,111)
        ( 58, 64)( 59,122)( 60, 89)( 62, 68)( 63,126)( 66, 72)( 67,129)( 70, 93)( 71,130)( 75,100)( 76, 97)( 78, 84)
        ( 79,145)( 80,115)( 83, 88)( 86, 92)( 87,146)( 90,118)( 91,149)( 95, 99)( 96,133)( 98,137)(101,107)(102,154)
        (103,138)(105,110)(106,157)(109,114)(112,117)(113,158)(116,141)(119,125)(120,139)(121,153)(123,128)(124,135)
        (127,132)(131,136)(134,140)(142,148)(143,151)(144,159)(147,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 63)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 76)( 34, 40)( 35, 87)
        ( 36, 67)( 38, 44)( 39, 88)( 42, 71)( 43, 91)( 46, 51)( 47, 72)( 49, 55)( 50,100)( 53, 75)( 54,103)( 57, 62)
        ( 58,114)( 59, 79)( 61, 66)( 64, 70)( 65,115)( 68, 83)( 69,118)( 73, 99)( 74, 95)( 77, 82)( 78,107)( 80,110)
        ( 81,131)( 84, 90)( 85,142)( 86,122)( 89, 94)( 92, 98)( 93,143)( 96,126)( 97,146)(101,106)(102,127)(104,109)
        (105,154)(108,130)(111,117)(112,120)(113,134)(116,121)(119,125)(123,138)(124,135)(128,153)(129,150)(132,137)
        (133,155)(136,160)(139,145)(140,148)(141,157)(144,149)(147,152)(151,158)(156,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,119)( 52, 76)( 54, 60)
        ( 55,120)( 58, 79)( 59,123)( 62, 67)( 63,135)( 64, 92)( 66, 71)( 69, 74)( 70,136)( 73, 95)( 77,115)( 78,111)
        ( 80, 86)( 81,146)( 82,127)( 84, 90)( 85,150)( 88, 94)( 89,154)( 93,131)( 96,102)( 97,133)( 98,137)(100,106)
        (101,156)(104,110)(105,152)(108,114)(109,148)(112,139)(113,145)(116,122)(117,159)(118,140)(121,126)(124,130)
        (125,160)(128,143)(129,142)(132,138)(134,155)(141,158)(144,149)(147,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,103)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,136)( 73, 99)( 74,133)( 78,111)
        ( 79,107)( 81, 86)( 82,146)( 83,123)( 85, 90)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,127)( 97,151)(101,106)
        (102,129)(104,110)(105,155)(108,138)(109,145)(113,118)(114,139)(116,122)(117,159)(120,126)(121,160)(124,142)
        (125,141)(128,134)(130,154)(132,137)(140,158)(143,149)(144,156)(148,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,103)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,136)( 73, 99)( 74,133)( 78,111)
        ( 79,107)( 81, 87)( 82,146)( 83,123)( 85, 91)( 86,147)( 89, 94)( 90,150)( 93, 98)( 96,127)( 97,151)(101,106)
        (102,129)(104,110)(105,155)(108,138)(109,145)(113,118)(114,139)(116,122)(117,159)(120,126)(121,160)(124,142)
        (125,141)(128,134)(130,154)(132,137)(140,158)(143,149)(144,156)(148,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,126)( 62, 68)( 63,102)( 64, 95)( 66, 71)( 67, 74)( 70, 75)( 73, 99)( 78,118)( 79,114)
        ( 81, 86)( 82,146)( 83,130)( 85, 90)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,134)( 97,151)(100,105)(101,135)
        (104,109)(107,113)(108,136)(111,117)(112,155)(115,138)(116,145)(119,125)(120,159)(121,139)(124,129)(127,133)
        (128,160)(131,142)(132,141)(137,154)(140,158)(143,149)(144,156)(148,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,126)( 62, 68)( 63,102)( 64, 95)( 66, 71)( 67, 74)( 70, 75)( 73, 99)( 78,118)( 79,114)
        ( 81, 87)( 82,146)( 83,130)( 85, 91)( 86,147)( 89, 94)( 90,150)( 93, 98)( 96,134)( 97,151)(100,105)(101,135)
        (104,109)(107,113)(108,136)(111,117)(112,155)(115,138)(116,145)(119,125)(120,159)(121,139)(124,129)(127,133)
        (128,160)(131,142)(132,141)(137,154)(140,158)(143,149)(144,156)(148,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,121)( 58, 79)( 59,125)( 62, 67)( 63,137)( 64, 94)( 66, 71)( 69, 74)( 70,138)( 73, 98)( 77,114)( 78,110)
        ( 80, 85)( 81,149)( 82,129)( 84, 89)( 87, 93)( 88,150)( 91, 97)( 92,153)( 95,133)( 96,154)(100,105)(101,139)
        (103,109)(104,135)(107,113)(108,158)(111,141)(112,148)(115,120)(116,123)(117,142)(119,124)(122,128)(126,132)
        (127,143)(130,145)(131,144)(134,140)(136,157)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,121)( 58, 79)( 59,125)( 62, 67)( 63,137)( 64, 94)( 66, 71)( 69, 74)( 70,138)( 73, 98)( 77,114)( 78,110)
        ( 80, 86)( 81,149)( 82,129)( 84, 90)( 85,150)( 88, 93)( 89,153)( 92, 97)( 95,133)( 96,154)(100,105)(101,139)
        (103,109)(104,135)(107,113)(108,158)(111,141)(112,148)(115,120)(116,123)(117,142)(119,124)(122,128)(126,132)
        (127,143)(130,145)(131,144)(134,140)(136,157)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 70)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 92)( 66, 72)( 67,139)( 71, 95)( 75,115)( 76,111)( 78, 83)
        ( 79,127)( 81, 87)( 82,147)( 85, 91)( 86,150)( 89, 94)( 90,154)( 93,131)( 96,102)( 97,137)( 98,140)(100,106)
        (101,133)(104,110)(105,156)(108,114)(109,152)(112,142)(113,149)(117,122)(118,143)(120,126)(121,159)(124,130)
        (125,160)(128,146)(129,145)(132,138)(134,155)(136,141)(144,158)(148,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,131)( 63, 87)( 65, 70)( 66,135)( 69, 74)( 72, 91)( 73,136)( 77,111)( 78,107)
        ( 81, 86)( 82,123)( 84, 90)( 85,147)( 88,127)( 89,150)( 92, 98)( 93,129)( 94,139)( 96,102)( 97,155)(100,106)
        (101,156)(104,110)(105,152)(108,142)(109,149)(113,118)(114,143)(116,122)(117,159)(120,126)(121,160)(124,146)
        (125,145)(128,134)(130,154)(132,138)(133,140)(137,141)(144,158)(148,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 87)( 34, 60)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,112)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,131)( 63, 88)( 65, 70)( 66,135)( 69, 74)( 72, 91)( 73,136)( 77,111)( 78,107)
        ( 80, 86)( 81,150)( 82,123)( 84, 90)( 85,154)( 89,127)( 92, 98)( 93,129)( 94,139)( 96,102)( 97,156)(100,106)
        (101,152)(104,110)(105,148)(108,142)(109,149)(113,118)(114,143)(116,122)(117,159)(120,126)(121,160)(124,146)
        (125,145)(128,134)(130,155)(132,138)(133,140)(137,141)(144,158)(147,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 72)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,116)
        ( 57, 79)( 58,119)( 61, 67)( 62,131)( 63, 87)( 65, 71)( 66,135)( 69, 74)( 70,138)( 73, 91)( 77,111)( 78,107)
        ( 81, 86)( 82,123)( 84, 90)( 85,147)( 88,127)( 89,150)( 92, 98)( 93,129)( 94,139)( 96,102)( 97,155)(100,106)
        (101,156)(104,110)(105,152)(108,142)(109,149)(112,118)(113,159)(114,143)(117,122)(120,126)(121,160)(124,146)
        (125,145)(128,134)(130,154)(132,137)(133,140)(136,141)(144,158)(148,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 87)( 34, 60)
        ( 37, 43)( 38, 95)( 39, 72)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,116)
        ( 57, 79)( 58,119)( 61, 67)( 62,131)( 63, 88)( 65, 71)( 66,135)( 69, 74)( 70,138)( 73, 91)( 77,111)( 78,107)
        ( 80, 86)( 81,150)( 82,123)( 84, 90)( 85,154)( 89,127)( 92, 98)( 93,129)( 94,139)( 96,102)( 97,156)(100,106)
        (101,152)(104,110)(105,148)(108,142)(109,149)(112,118)(113,159)(114,143)(117,122)(120,126)(121,160)(124,146)
        (125,145)(128,134)(130,155)(132,137)(133,140)(136,141)(144,158)(147,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,135)( 63, 88)( 65, 71)( 66,138)( 69, 75)( 70,142)( 73, 92)( 74,143)( 78,112)
        ( 79,108)( 82, 87)( 83,127)( 85, 91)( 86,150)( 89,131)( 90,153)( 93, 99)( 94,133)( 95,140)( 97,103)( 98,158)
        (101,107)(102,159)(105,111)(106,155)(109,145)(110,152)(113,118)(114,121)(115,146)(117,122)(120,126)(124,130)
        (125,147)(128,149)(129,148)(132,137)(134,157)(136,141)(139,144)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 88)( 34, 60)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,135)( 63, 89)( 65, 71)( 66,138)( 69, 75)( 70,142)( 73, 92)( 74,143)( 78,112)
        ( 79,108)( 81, 87)( 82,153)( 83,127)( 85, 91)( 86,157)( 90,131)( 93, 99)( 94,133)( 95,140)( 97,103)( 98,159)
        (101,107)(102,155)(105,111)(106,151)(109,145)(110,152)(113,118)(114,121)(115,146)(117,122)(120,126)(124,130)
        (125,147)(128,149)(129,148)(132,137)(134,158)(136,141)(139,144)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 96)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 95)( 71,134)( 75,103)( 76, 99)( 78, 83)
        ( 79,150)( 80,115)( 82, 87)( 85, 91)( 86,151)( 89, 94)( 90,154)( 93,119)( 97,102)( 98,138)(100,142)(101,149)
        (105,110)(106,143)(108,114)(109,159)(112,118)(113,160)(116,146)(117,145)(120,126)(121,136)(122,155)(124,129)
        (125,132)(128,133)(131,137)(135,141)(139,148)(140,156)(144,158)(147,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,120)( 52, 74)( 54, 60)
        ( 55,121)( 58, 77)( 59,124)( 63, 68)( 64, 93)( 66, 72)( 67, 94)( 70, 97)( 71,132)( 75,116)( 76,112)( 78, 84)
        ( 79,146)( 80,128)( 82, 88)( 83,150)( 86, 92)( 87,154)( 90, 96)( 91,137)( 95,134)( 98,103)( 99,135)(101,107)
        (102,156)(105,111)(106,152)(109,115)(110,148)(113,139)(114,145)(117,123)(118,159)(119,140)(122,127)(125,131)
        (126,160)(129,143)(130,142)(133,138)(136,155)(141,158)(144,149)(147,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,119)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,123)( 63, 68)( 64, 93)( 66, 72)( 67,132)( 70, 96)( 71,133)( 75,115)( 76,111)( 78, 84)
        ( 79,146)( 80,127)( 82, 88)( 83,150)( 86, 92)( 87,154)( 90, 95)( 91,137)( 94,131)( 97,102)( 98,135)(100,106)
        (101,156)(104,110)(105,152)(108,114)(109,148)(112,139)(113,145)(116,122)(117,159)(118,140)(121,126)(124,130)
        (125,160)(128,143)(129,142)(134,138)(136,155)(141,158)(144,149)(147,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 93)( 43, 69)( 45, 51)( 46, 96)( 49, 72)( 50,100)( 53, 59)( 54,112)( 55, 73)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 76)( 66,123)( 70, 92)( 71, 88)( 74,108)( 75,104)( 77, 83)( 78,143)
        ( 79,127)( 82, 87)( 85, 91)( 86,144)( 89,131)( 90,138)( 94, 99)( 95,132)( 97,103)( 98,148)(101,107)(102,149)
        (105,135)(106,134)(109,115)(110,141)(111,136)(113,119)(114,150)(117,122)(118,154)(121,126)(124,130)(125,155)
        (128,139)(129,158)(133,147)(137,145)(140,146)(142,153)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 68)( 46,100)( 49, 55)( 50,108)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,115)( 62, 67)( 63, 88)( 65, 91)( 66,124)( 70,107)( 71,103)( 73, 79)( 74,139)( 75,119)( 77, 83)
        ( 78,143)( 81, 87)( 82,147)( 85, 90)( 86,151)( 89,123)( 92, 98)( 93,141)( 94,127)( 96,102)( 97,137)(101,106)
        (104,131)(105,138)(109,114)(110,132)(112,118)(113,156)(116,122)(117,157)(120,135)(121,134)(125,130)(126,152)
        (128,145)(129,159)(133,155)(136,142)(140,146)(144,150)(148,154)(149,160)(153,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 97)( 49, 72)( 50,100)( 53, 59)( 54,112)( 55, 73)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 76)( 66,124)( 70, 92)( 71, 88)( 74,108)( 75,104)( 77, 83)( 78,143)
        ( 79,127)( 82, 87)( 85, 91)( 86,144)( 89,131)( 90,138)( 93, 99)( 94,148)( 95,132)( 98,103)(101,107)(102,149)
        (105,135)(106,134)(109,115)(110,141)(111,136)(113,119)(114,150)(117,123)(118,154)(121,126)(122,157)(125,130)
        (128,139)(129,158)(133,147)(137,145)(140,146)(142,153)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,101)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,113)
        ( 57, 72)( 58,116)( 62, 67)( 63, 88)( 65, 92)( 66,125)( 70,108)( 71,104)( 73, 79)( 74,139)( 75,120)( 77, 83)
        ( 78,143)( 81, 87)( 82,147)( 85, 91)( 86,151)( 89,124)( 90,154)( 93, 99)( 94,141)( 95,127)( 97,103)( 98,137)
        (102,107)(105,131)(106,138)(109,115)(110,159)(111,132)(114,119)(117,123)(118,160)(121,135)(122,134)(126,130)
        (128,145)(129,155)(133,158)(136,142)(140,146)(144,150)(148,153)(149,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,123)( 65, 76)( 66,127)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,147)
        ( 79,131)( 82, 87)( 85, 91)( 86,148)( 89,135)( 90,142)( 93, 98)( 94,101)( 95,136)( 97,102)(100,106)(104,110)
        (105,137)(108,139)(109,138)(112,118)(113,145)(114,140)(116,122)(117,151)(120,126)(121,154)(124,130)(125,158)
        (128,134)(129,159)(132,143)(133,156)(141,149)(144,150)(146,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,101)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 62, 67)( 63, 88)( 65, 92)( 66,128)( 70,108)( 71,104)( 73, 79)( 74,143)( 75,123)( 77, 83)
        ( 78,147)( 81, 87)( 82,151)( 85, 91)( 86,154)( 89,127)( 90,158)( 93, 99)( 94,145)( 95,131)( 97,103)( 98,141)
        (102,107)(105,135)(106,142)(109,114)(110,117)(111,136)(113,118)(116,122)(120,126)(121,137)(124,139)(125,138)
        (129,134)(130,159)(132,149)(133,156)(140,146)(144,150)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 61)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,104)( 51, 65)( 53, 59)( 54,108)( 57, 68)
        ( 58,109)( 62, 91)( 63, 84)( 66,100)( 67, 96)( 69, 75)( 70,124)( 71,112)( 73, 79)( 74,128)( 77, 83)( 78,132)
        ( 81, 87)( 82,135)( 85,116)( 86,139)( 89, 95)( 90,117)( 93, 99)( 94,147)( 97,103)( 98,150)(101,107)(102,154)
        (105,111)(106,158)(110,115)(113,120)(114,159)(118,149)(119,143)(121,127)(122,145)(123,156)(125,131)(126,141)
        (129,134)(130,137)(133,138)(136,142)(140,146)(144,152)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 71)( 41, 47)( 42, 96)( 45, 75)( 46, 99)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,112)
        ( 57, 79)( 58,115)( 61, 66)( 62,127)( 63, 91)( 65, 70)( 68, 74)( 69,128)( 72, 95)( 73,125)( 77,107)( 78,103)
        ( 81, 86)( 82,119)( 84, 90)( 85,139)( 88, 94)( 89,142)( 92,123)( 93,146)( 97,102)( 98,130)(100,106)(101,151)
        (104,134)(105,154)(108,114)(109,117)(110,135)(113,118)(116,122)(120,138)(121,136)(124,129)(126,133)(131,150)
        (132,147)(137,158)(140,145)(141,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 67)( 42, 48)( 43, 97)( 46, 69)( 47,100)( 50, 56)( 51,111)( 52, 70)( 54, 60)
        ( 55,115)( 58, 73)( 59,119)( 62, 68)( 63, 96)( 64, 89)( 71,108)( 72,104)( 74, 80)( 75,135)( 76,120)( 78, 84)
        ( 79,139)( 82, 88)( 83,142)( 86, 92)( 87,145)( 90,123)( 91,149)( 94, 99)( 95,124)( 98,103)(101,107)(102,125)
        (105,127)(106,154)(109,114)(110,128)(112,118)(113,129)(116,122)(117,158)(121,131)(126,153)(130,157)(132,138)
        (133,151)(134,159)(136,141)(137,147)(140,144)(143,148)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 74)( 27, 55)( 29, 35)( 30, 75)( 33, 59)( 34, 78)
        ( 37, 43)( 38, 86)( 39, 64)( 41, 47)( 42, 90)( 45, 66)( 46, 94)( 49, 54)( 50, 67)( 52, 58)( 53,103)( 56, 70)
        ( 57,106)( 60, 65)( 61, 89)( 62, 82)( 68,102)( 69, 98)( 71, 77)( 72,126)( 73,110)( 76, 81)( 79, 85)( 80,127)
        ( 83,114)( 84,130)( 87, 93)( 88,115)( 91, 97)( 92,138)( 95,101)( 96,141)( 99,118)(100,145)(104,109)(105,119)
        (107,113)(108,154)(111,122)(112,155)(116,140)(117,134)(120,153)(121,149)(123,129)(124,157)(125,151)(128,133)
        (131,137)(132,158)(135,143)(136,159)(139,144)(142,148)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 71)( 42, 47)( 45, 75)( 46,100)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,112)
        ( 57, 79)( 58,115)( 61, 66)( 62,127)( 63, 91)( 65, 70)( 68, 74)( 69,128)( 72, 95)( 73,125)( 77,107)( 78,103)
        ( 80, 86)( 81,142)( 82,119)( 85, 90)( 88, 94)( 89,143)( 92,123)( 93,146)( 96,102)( 97,154)( 98,130)(101,106)
        (104,134)(105,155)(108,114)(109,117)(110,135)(113,118)(116,122)(120,138)(121,136)(124,129)(126,133)(131,150)
        (132,147)(137,158)(139,145)(140,152)(141,159)(144,149)(148,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 68)( 42, 47)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 91)( 66, 71)( 69, 95)( 70,128)( 74,107)( 75,103)( 77, 83)( 78,134)
        ( 79,119)( 81, 86)( 82,138)( 85, 90)( 88, 94)( 89,139)( 92,123)( 93,142)( 96,102)( 97,150)( 98,125)(101,106)
        (104,110)(105,151)(108,114)(109,154)(112,118)(113,158)(117,122)(120,130)(121,159)(124,129)(126,146)(131,137)
        (132,148)(133,156)(135,141)(136,144)(140,145)(143,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 74)( 27, 54)( 29, 35)( 30, 78)( 33, 58)( 34, 81)
        ( 37, 42)( 38, 63)( 40, 46)( 41, 90)( 44, 66)( 45, 93)( 48, 53)( 49,105)( 50, 67)( 52, 57)( 55, 70)( 56,106)
        ( 59, 65)( 60,117)( 61, 85)( 64, 89)( 68,101)( 69, 97)( 71, 77)( 72,129)( 73,109)( 75, 80)( 76,133)( 79, 84)
        ( 82, 88)( 83,134)( 86,113)( 87,137)( 91, 96)( 92,118)( 94,100)( 95,146)( 98,121)( 99,149)(102,108)(103,158)
        (104,122)(107,112)(110,125)(111,159)(114,120)(115,148)(116,141)(119,145)(123,157)(124,153)(126,132)(127,143)
        (128,155)(130,136)(131,139)(135,140)(138,144)(142,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 52)( 30, 35)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 88)( 45, 51)( 46, 95)( 47, 73)( 49, 55)( 50, 99)( 53, 75)( 54,103)( 57, 63)
        ( 58,115)( 59, 83)( 61, 67)( 62,118)( 65, 71)( 66,121)( 69, 87)( 70,125)( 74, 91)( 76, 82)( 77,137)( 78,107)
        ( 81, 86)( 84,111)( 85,138)( 89, 94)( 90,129)( 92, 98)( 93,146)( 96,102)( 97,149)(100,106)(101,153)(104,110)
        (105,154)(108,133)(109,155)(112,117)(113,123)(114,141)(116,120)(119,124)(122,128)(126,132)(127,142)(130,145)
        (131,157)(134,140)(135,159)(136,151)(139,144)(143,160)(147,152)(148,158)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 66)( 23, 48)( 24, 44)( 26, 31)( 27, 82)( 28, 55)( 30, 35)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 70)( 41, 47)( 42, 95)( 45, 74)( 46, 98)( 49, 54)( 50, 75)( 52, 58)( 53,107)( 56, 78)
        ( 57,110)( 60, 65)( 61,122)( 62, 86)( 64, 69)( 67, 73)( 68,123)( 71, 90)( 72,120)( 76,106)( 77,102)( 79, 85)
        ( 80,137)( 81,114)( 84, 89)( 87,118)( 88,138)( 91, 97)( 92,145)( 93,125)( 96,101)( 99,105)(100,146)(103,129)
        (104,149)(108,113)(109,130)(111,117)(112,158)(115,133)(116,159)(119,124)(121,128)(126,141)(127,139)(131,157)
        (132,153)(134,140)(135,144)(136,155)(142,148)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 55)( 29, 34)( 32, 59)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 64)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,111)( 56, 71)
        ( 57,112)( 60, 66)( 61, 86)( 62, 79)( 65, 83)( 69,103)( 70, 99)( 72, 78)( 73,127)( 74,115)( 77, 82)( 80,119)
        ( 81,128)( 84, 90)( 85,120)( 88, 94)( 89,135)( 92, 98)( 93,138)( 96,102)( 97,142)(100,106)(101,146)(104,110)
        (105,150)(108,114)(109,154)(113,118)(116,123)(117,155)(121,137)(122,131)(124,130)(125,157)(126,152)(129,134)
        (132,140)(133,158)(136,141)(139,145)(143,149)(144,159)(147,153)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 72)( 41, 47)( 42, 97)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 92)( 65, 71)( 66,135)( 69, 75)( 70,136)( 73, 96)( 74,133)( 78,108)
        ( 79,104)( 82, 87)( 83,123)( 85, 91)( 86,143)( 89, 95)( 90,146)( 93,127)( 94,150)( 98,103)( 99,129)(101,107)
        (102,154)(105,138)(106,157)(109,115)(110,125)(111,139)(113,118)(114,121)(117,122)(120,126)(124,142)(128,134)
        (130,153)(132,137)(140,145)(141,158)(144,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,110)
        ( 58, 63)( 59,122)( 60, 80)( 62, 67)( 65, 71)( 66,123)( 69, 84)( 70,126)( 74,103)( 75, 99)( 78, 83)( 79,114)
        ( 81,118)( 82,135)( 85, 91)( 86,145)( 87,127)( 89, 94)( 90,149)( 93, 98)( 96,102)( 97,150)(100,130)(101,153)
        (105,109)(106,131)(108,113)(111,117)(112,132)(115,134)(116,158)(119,125)(120,144)(121,138)(124,129)(128,142)
        (133,157)(136,141)(137,159)(139,147)(140,155)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 52)( 47,106)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,110)
        ( 58, 63)( 59,122)( 60, 80)( 62, 67)( 65, 71)( 66,123)( 69, 84)( 70,126)( 74,103)( 75, 99)( 78, 83)( 79,114)
        ( 81,118)( 82,138)( 85, 91)( 86,146)( 87,129)( 89, 94)( 90,149)( 93, 98)( 96,102)( 97,150)(100,133)(101,153)
        (104,109)(105,134)(108,113)(111,117)(112,135)(115,137)(116,158)(119,125)(120,131)(121,141)(124,128)(127,132)
        (130,145)(136,157)(139,144)(140,159)(142,148)(143,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 72)( 42, 47)( 45, 76)( 46,101)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 92)( 65, 71)( 66,135)( 69, 75)( 70,136)( 73, 96)( 74,133)( 78,108)
        ( 79,104)( 81, 87)( 82,146)( 83,123)( 86, 91)( 89, 95)( 90,147)( 93,127)( 94,150)( 97,103)( 98,157)( 99,129)
        (102,107)(105,138)(106,158)(109,115)(110,125)(111,139)(113,118)(114,121)(117,122)(120,126)(124,142)(128,134)
        (130,153)(132,137)(140,145)(141,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 55)( 50,111)( 51, 72)( 53, 59)( 54,112)
        ( 57, 75)( 58,115)( 61, 67)( 62, 90)( 63, 83)( 66, 70)( 69, 87)( 73,107)( 74,103)( 76, 82)( 77,135)( 78,119)
        ( 81, 86)( 84,123)( 85,136)( 88, 94)( 89,124)( 92, 98)( 93,143)( 96,102)( 97,144)(100,106)(101,147)(104,127)
        (105,151)(108,114)(109,117)(110,128)(113,118)(116,122)(120,131)(121,129)(125,146)(126,139)(130,155)(132,138)
        (133,158)(134,156)(137,142)(140,149)(141,159)(145,150)(148,154)(152,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 55)( 50,111)( 51, 72)( 53, 59)( 54,112)
        ( 57, 75)( 58,115)( 61, 66)( 62, 90)( 63, 83)( 65, 70)( 69, 87)( 73,107)( 74,103)( 76, 82)( 77,135)( 78,119)
        ( 81, 86)( 84,123)( 85,136)( 88, 94)( 89,124)( 92, 98)( 93,143)( 96,102)( 97,144)(100,106)(101,147)(104,127)
        (105,151)(108,114)(109,117)(110,128)(113,118)(116,122)(120,131)(121,129)(125,146)(126,139)(130,155)(132,138)
        (133,158)(134,156)(137,142)(140,149)(141,159)(145,150)(148,154)(152,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 55)( 50,110)( 51, 72)( 53, 59)( 54,111)
        ( 57, 75)( 58,114)( 61, 67)( 62, 90)( 63, 83)( 66, 70)( 69, 87)( 73,107)( 74,103)( 76, 82)( 77,134)( 78,118)
        ( 81, 86)( 84,122)( 85,135)( 88, 94)( 89,123)( 92, 98)( 93,142)( 96,102)( 97,143)(100,106)(101,146)(104,126)
        (105,150)(108,113)(109,127)(112,117)(115,121)(116,128)(119,130)(120,155)(124,145)(125,138)(129,154)(131,137)
        (132,158)(133,156)(136,141)(139,148)(140,159)(144,149)(147,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 56)( 30, 35)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 55)( 50,110)( 51, 72)( 53, 59)( 54,111)
        ( 57, 75)( 58,114)( 61, 66)( 62, 90)( 63, 83)( 65, 70)( 69, 87)( 73,107)( 74,103)( 76, 82)( 77,134)( 78,118)
        ( 81, 86)( 84,122)( 85,135)( 88, 94)( 89,123)( 92, 98)( 93,142)( 96,102)( 97,143)(100,106)(101,146)(104,126)
        (105,150)(108,113)(109,127)(112,117)(115,121)(116,128)(119,130)(120,155)(124,145)(125,138)(129,154)(131,137)
        (132,158)(133,156)(136,141)(139,148)(140,159)(144,149)(147,153)(151,157)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 80)( 28, 52)( 30, 35)( 33, 56)( 34, 81)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46, 99)( 47, 73)( 49, 55)( 50,103)( 53, 76)( 54,107)( 57, 63)
        ( 58,115)( 59, 84)( 61, 67)( 62,119)( 65, 71)( 66,122)( 69, 88)( 70,126)( 74, 96)( 75, 92)( 77, 83)( 78,142)
        ( 79,108)( 82, 87)( 85,111)( 86,143)( 90, 95)( 91,130)( 93,134)( 94,151)( 97,102)( 98,135)(100,106)(101,136)
        (104,110)(105,155)(109,138)(112,118)(113,128)(114,146)(116,121)(117,124)(120,125)(123,129)(127,133)(131,150)
        (132,147)(137,154)(139,145)(140,159)(141,156)(144,149)(148,160)(152,157)(153,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 43)( 39, 71)( 41, 47)( 42, 95)( 45, 75)( 46, 98)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,111)
        ( 57, 79)( 58,114)( 61, 67)( 62,126)( 63, 91)( 65, 70)( 66,130)( 69, 74)( 72, 94)( 73,131)( 77,106)( 78,102)
        ( 80, 85)( 81,118)( 83, 89)( 84,143)( 87, 93)( 88,146)( 92,122)( 96,101)( 97,134)( 99,105)(100,151)(103,138)
        (104,154)(107,113)(108,116)(109,139)(112,117)(115,121)(119,142)(120,140)(123,129)(124,153)(125,147)(127,133)
        (128,136)(132,137)(135,150)(141,158)(144,149)(145,159)(148,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 87)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,114)
        ( 58, 63)( 59,126)( 60, 80)( 62, 67)( 65, 71)( 66,127)( 69, 84)( 70,130)( 74,103)( 75, 99)( 78, 83)( 79,118)
        ( 81,122)( 82,139)( 85, 90)( 86,131)( 88, 94)( 89,147)( 92, 98)( 93,150)( 96,102)( 97,154)(100,134)(101,157)
        (104,110)(105,120)(106,135)(108,113)(109,116)(112,117)(115,121)(119,138)(123,129)(124,149)(125,142)(128,133)
        (132,146)(136,141)(137,158)(140,145)(143,152)(144,159)(148,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 84)( 34, 56)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46, 97)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,103)( 57, 63)
        ( 58,115)( 59, 85)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 88)( 70,123)( 74, 96)( 75, 92)( 77, 83)( 78,138)
        ( 79,107)( 81, 87)( 82,141)( 86,111)( 90, 95)( 91,126)( 93,130)( 94,146)( 98,102)( 99,131)(101,106)(104,110)
        (105,132)(108,134)(109,150)(112,117)(113,157)(114,142)(116,121)(119,125)(120,158)(124,129)(127,145)(128,159)
        (133,149)(135,140)(136,156)(137,151)(139,144)(143,153)(147,152)(148,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 84)( 34, 56)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46, 97)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,104)( 57, 63)
        ( 58,115)( 59, 85)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 88)( 70,123)( 74, 96)( 75, 92)( 77, 83)( 78,138)
        ( 79,108)( 81, 87)( 82,141)( 86,111)( 90, 95)( 91,126)( 93,130)( 94,146)( 98,103)( 99,131)(101,107)(102,132)
        (105,110)(106,150)(109,134)(112,117)(113,157)(114,142)(116,121)(119,125)(120,158)(124,129)(127,145)(128,159)
        (133,149)(135,140)(136,156)(137,151)(139,144)(143,153)(147,152)(148,155)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 82)( 42, 48)( 43, 90)( 44, 70)( 46, 52)( 47, 93)( 50, 73)( 51, 97)( 54, 60)( 55,108)( 56, 78)
        ( 58, 64)( 59,112)( 62, 68)( 63,115)( 66, 81)( 67,119)( 71, 89)( 72, 85)( 74, 80)( 75,135)( 76,101)( 79,104)
        ( 83, 88)( 84,123)( 86,127)( 87,140)( 91, 96)( 92,128)( 94,100)( 95,129)( 98,103)( 99,144)(102,131)(105,111)
        (106,151)(107,136)(109,114)(110,155)(113,118)(116,122)(117,156)(120,126)(121,153)(124,139)(125,149)(130,143)
        (132,138)(133,159)(134,145)(137,147)(141,146)(142,158)(148,154)(150,160)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 93)( 43, 69)( 45, 51)( 46, 96)( 49, 72)( 50,100)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,112)( 61, 67)( 62,115)( 65, 76)( 66,119)( 70, 92)( 71, 88)( 74,107)( 75,104)( 77, 83)( 78,138)
        ( 79,123)( 82, 87)( 85, 91)( 86,139)( 89,126)( 90,142)( 94, 99)( 95,127)( 97,103)( 98,128)(101,106)(102,147)
        (105,130)(108,114)(109,154)(110,131)(113,118)(116,122)(117,155)(120,125)(121,158)(124,134)(129,146)(132,150)
        (133,148)(135,141)(136,152)(137,159)(140,145)(143,149)(144,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,102)( 53, 59)( 54,114)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,118)( 65, 76)( 66,122)( 70, 95)( 71, 91)( 74,110)( 75,106)( 77, 83)( 78,137)
        ( 79,123)( 81, 86)( 82,141)( 85, 90)( 88, 94)( 89,142)( 92,126)( 93,145)( 97,101)( 98,127)(100,105)(103,109)
        (104,128)(107,130)(108,150)(111,117)(112,157)(113,131)(116,121)(119,125)(120,158)(124,134)(129,149)(132,153)
        (133,151)(135,140)(136,159)(138,144)(139,155)(143,148)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 98)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,102)( 53, 59)( 54,114)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,118)( 65, 76)( 66,122)( 70, 95)( 71, 91)( 74,110)( 75,106)( 77, 83)( 78,138)
        ( 79,125)( 81, 86)( 82,141)( 85, 90)( 88, 94)( 89,142)( 92,129)( 93,145)( 96,101)( 97,130)(100,105)(103,109)
        (104,131)(107,133)(108,150)(111,117)(112,157)(113,134)(116,121)(119,124)(120,158)(123,128)(126,137)(127,159)
        (132,149)(135,153)(136,151)(139,144)(140,155)(143,148)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 75)( 31, 61)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 91)( 43, 65)( 45, 51)( 46, 95)( 49, 67)( 50, 99)( 53, 59)( 54,111)( 55, 68)
        ( 57, 63)( 58,115)( 62, 71)( 66, 87)( 69,107)( 70,103)( 72, 78)( 73,126)( 74,116)( 76, 82)( 77,130)( 80, 86)
        ( 81,134)( 84, 90)( 85,135)( 88, 94)( 89,138)( 92, 98)( 93,142)( 96,102)( 97,146)(100,106)(101,147)(104,119)
        (105,148)(108,114)(109,154)(110,120)(112,118)(113,158)(117,123)(121,150)(122,144)(124,129)(125,159)(127,133)
        (128,156)(131,137)(132,152)(136,141)(139,145)(140,153)(143,149)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 76)( 31, 63)( 33, 39)( 34, 79)
        ( 37, 67)( 38, 83)( 41, 46)( 42, 68)( 44, 50)( 45, 92)( 48, 71)( 49, 95)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,111)( 60, 66)( 61,114)( 64, 75)( 65,118)( 69, 91)( 70, 87)( 73,103)( 74, 99)( 77, 82)( 78,122)( 80, 86)
        ( 81,135)( 84, 90)( 85,136)( 88,126)( 89,138)( 93, 98)( 94,127)( 96,102)( 97,147)(100,130)(101,148)(104,110)
        (105,154)(106,131)(108,113)(109,158)(112,117)(115,121)(116,159)(119,125)(120,156)(123,134)(124,152)(128,146)
        (129,142)(132,150)(133,144)(137,141)(139,145)(140,153)(143,149)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 87)( 41, 47)( 42, 99)( 43, 68)( 45, 51)( 46,103)( 49, 71)( 50,104)( 53, 59)( 54,115)( 55, 72)
        ( 57, 62)( 58,119)( 61, 66)( 64, 75)( 65,120)( 69, 95)( 70, 91)( 73,111)( 74,107)( 76, 82)( 77,135)( 78,123)
        ( 80, 86)( 81,138)( 84, 90)( 85,142)( 88, 94)( 89,143)( 92, 98)( 93,146)( 96,102)( 97,150)(100,106)(101,154)
        (105,110)(108,127)(109,155)(112,118)(113,134)(114,128)(116,122)(117,125)(121,126)(124,131)(129,157)(130,152)
        (132,137)(133,158)(136,141)(139,145)(140,159)(144,149)(147,153)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 87)( 41, 46)( 42, 99)( 43, 68)( 45, 50)( 48, 71)( 49,100)( 52, 58)( 53,111)( 54, 72)( 56, 62)
        ( 57,115)( 60, 66)( 61,118)( 64, 75)( 65,121)( 69, 95)( 70, 91)( 73,107)( 74,103)( 76, 82)( 77,141)( 78,125)
        ( 80, 86)( 81,142)( 84, 90)( 85,145)( 88, 94)( 89,146)( 92,129)( 93,149)( 96,102)( 97,158)( 98,130)(101,106)
        (104,133)(105,159)(108,114)(109,127)(110,134)(112,117)(113,123)(116,120)(119,124)(122,128)(126,137)(131,157)
        (132,153)(135,140)(136,155)(138,144)(139,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 35)( 18, 60)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 34)( 30, 79)( 33, 59)( 36, 42)
        ( 37, 87)( 38, 63)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,111)( 56, 71)
        ( 57,114)( 61, 66)( 62, 80)( 64, 83)( 65,123)( 69,103)( 70, 99)( 72, 78)( 73,137)( 74,118)( 76, 82)( 77,141)
        ( 81,122)( 84, 90)( 85,146)( 86,126)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,102)( 97,157)(100,129)(101,158)
        (104,110)(105,120)(106,130)(108,113)(109,116)(112,117)(115,121)(119,133)(124,128)(125,142)(127,145)(131,136)
        (132,159)(134,140)(135,155)(138,144)(139,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 99)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,116)( 61, 67)( 62,119)( 65, 76)( 66,123)( 70, 95)( 71, 91)( 74,111)( 75,107)( 77, 82)( 78,126)
        ( 80, 86)( 81,139)( 84, 90)( 85,142)( 88, 94)( 89,143)( 92,130)( 93,146)( 96,102)( 97,105)( 98,131)(101,106)
        (104,110)(108,134)(109,132)(112,118)(113,157)(114,135)(117,122)(120,125)(121,158)(124,129)(127,138)(128,159)
        (133,150)(136,153)(137,151)(140,145)(141,155)(144,149)(147,152)(148,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 87)( 41, 47)( 42, 96)( 43, 68)( 45, 51)( 46, 99)( 49, 71)( 50,102)( 53, 59)( 54,114)( 55, 72)
        ( 57, 63)( 58,117)( 61, 66)( 62,121)( 65, 75)( 69, 95)( 70, 91)( 73,110)( 74,106)( 76, 82)( 77,134)( 78,122)
        ( 80, 86)( 81,137)( 84, 90)( 85,141)( 88, 94)( 89,142)( 92,125)( 93,145)( 97,101)( 98,126)(100,105)(103,109)
        (104,127)(107,129)(108,150)(111,116)(112,157)(113,130)(115,120)(118,124)(119,158)(123,133)(128,149)(131,153)
        (132,151)(135,140)(136,159)(138,144)(139,155)(143,148)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 76)( 34, 40)( 35, 86)
        ( 36, 68)( 38, 44)( 39, 89)( 42, 72)( 43, 93)( 46, 52)( 47,101)( 48, 73)( 50, 56)( 51,105)( 54, 75)( 55,109)
        ( 58, 63)( 59,121)( 60, 79)( 62, 67)( 65, 71)( 66,122)( 69, 83)( 70,125)( 74, 97)( 77, 82)( 78,113)( 80,117)
        ( 81,134)( 84, 88)( 85,129)( 87, 92)( 90, 96)( 91,130)( 94,100)( 95,141)( 98,104)( 99,145)(102,108)(103,149)
        (106,112)(107,153)(110,116)(111,154)(114,133)(115,155)(118,124)(119,158)(120,137)(123,128)(126,132)(127,159)
        (131,144)(135,140)(136,151)(138,157)(139,147)(142,148)(143,160)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 45)( 12, 21)( 14, 19)
        ( 15, 56)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 68)( 27, 48)( 29, 35)( 30, 72)( 33, 52)( 34, 76)
        ( 38, 43)( 39, 57)( 41, 60)( 42, 85)( 46, 51)( 47, 61)( 49, 64)( 50, 93)( 53, 59)( 54,104)( 55, 80)( 58, 84)
        ( 62, 92)( 63, 88)( 65, 71)( 66,116)( 67, 96)( 69, 75)( 70,120)( 73, 79)( 74,121)( 77, 83)( 78,124)( 81,100)
        ( 82,127)( 86, 91)( 87,105)( 89,108)( 90,136)( 94, 99)( 95,109)( 97,112)( 98,144)(101,107)(102,155)(103,131)
        (106,135)(110,143)(111,139)(113,119)(114,133)(115,147)(117,123)(118,129)(122,126)(125,130)(128,134)(132,151)
        (137,142)(138,156)(140,158)(141,153)(145,150)(146,159)(148,154)(149,160)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 45)( 12, 21)( 14, 19)
        ( 15, 56)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 68)( 27, 48)( 29, 35)( 30, 72)( 33, 52)( 34, 76)
        ( 38, 43)( 39, 57)( 41, 60)( 42, 85)( 46, 51)( 47, 61)( 49, 64)( 50, 93)( 53, 59)( 54,104)( 55, 80)( 58, 84)
        ( 62, 92)( 63, 88)( 65, 71)( 66,116)( 67, 96)( 69, 75)( 70,120)( 73, 79)( 74,123)( 77, 83)( 78,124)( 81,100)
        ( 82,127)( 86, 91)( 87,105)( 89,108)( 90,136)( 94, 99)( 95,109)( 97,112)( 98,144)(101,107)(102,155)(103,131)
        (106,135)(110,143)(111,139)(113,119)(114,133)(115,147)(117,122)(118,129)(121,126)(125,130)(128,134)(132,151)
        (137,142)(138,156)(140,158)(141,153)(145,150)(146,159)(148,154)(149,160)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 64)( 23, 47)( 24, 43)( 26, 31)( 27, 55)( 29, 35)( 30, 76)( 33, 59)( 34, 79)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 88)( 44, 71)( 45, 91)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,106)( 56, 75)
        ( 57,110)( 60, 66)( 61,118)( 62, 83)( 65, 70)( 68, 87)( 69,119)( 73, 99)( 74, 95)( 77, 82)( 78,111)( 80, 86)
        ( 81,131)( 84,114)( 85,134)( 89, 94)( 90,122)( 92, 98)( 93,143)( 96,126)( 97,146)(100,105)(101,154)(102,127)
        (104,109)(107,113)(108,155)(112,130)(115,121)(116,124)(117,138)(120,125)(123,142)(128,150)(129,147)(132,137)
        (133,156)(135,141)(136,152)(139,145)(140,160)(144,149)(148,158)(151,157)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 94)( 39, 64)( 41, 46)( 44, 67)( 45, 95)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,106)( 56, 71)
        ( 57,110)( 60, 66)( 61,118)( 62, 86)( 65, 90)( 69,102)( 70, 98)( 72, 78)( 73,130)( 74,111)( 76, 82)( 77,131)
        ( 80, 85)( 81,134)( 84, 89)( 87,114)( 88,135)( 91, 97)( 92,146)( 93,119)( 96,101)( 99,122)(100,147)(104,109)
        (105,123)(107,113)(108,154)(112,126)(115,121)(116,145)(117,138)(120,142)(124,153)(125,150)(127,133)(128,140)
        (129,155)(132,137)(136,141)(139,157)(143,149)(144,158)(148,152)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 82)( 28, 55)( 30, 35)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 94)( 39, 71)( 41, 46)( 44, 74)( 45, 95)( 48, 54)( 49,103)( 50, 75)( 52, 58)( 53,106)( 56, 78)
        ( 57,110)( 60, 66)( 61,118)( 62, 86)( 64, 70)( 65,119)( 68, 73)( 69,122)( 72, 90)( 76,102)( 77, 98)( 79, 85)
        ( 80,134)( 81,111)( 84, 89)( 87,114)( 88,135)( 91, 97)( 92,146)( 93,123)( 96,101)( 99,126)(100,147)(104,109)
        (105,127)(107,113)(108,154)(112,130)(115,121)(116,145)(117,138)(120,125)(124,142)(128,153)(129,150)(131,137)
        (132,140)(133,155)(136,141)(139,157)(143,149)(144,158)(148,152)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 97)( 49, 72)( 50,100)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,114)( 61, 67)( 62,118)( 65, 76)( 66,119)( 70, 92)( 71, 88)( 74,107)( 75,104)( 77, 83)( 78,137)
        ( 79,122)( 81, 87)( 82,141)( 86, 91)( 89,126)( 90,142)( 93, 99)( 94,149)( 95,127)( 98,103)(101,106)(102,150)
        (105,130)(108,113)(109,157)(110,131)(112,117)(115,121)(116,158)(120,125)(123,134)(124,159)(128,145)(129,143)
        (132,153)(133,151)(135,140)(136,155)(138,144)(139,148)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,103)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,122)( 62, 68)( 63,130)( 64, 92)( 66, 71)( 67,134)( 70, 75)( 73, 96)( 74,135)( 78,111)
        ( 79,107)( 81, 87)( 82,150)( 83,123)( 86, 91)( 89, 95)( 90,151)( 93,126)( 94,148)( 97,102)( 98,138)(101,106)
        (104,110)(105,139)(108,142)(109,157)(112,117)(113,154)(114,143)(116,121)(119,125)(120,155)(124,146)(127,133)
        (128,144)(129,153)(131,137)(132,159)(136,141)(140,160)(145,158)(147,152)(149,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,116)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 68)( 63,131)( 64, 92)( 66, 72)( 67,135)( 70, 75)( 71,139)( 74, 96)( 78,115)
        ( 79,111)( 81, 87)( 82, 90)( 83,124)( 86, 91)( 89, 95)( 93,127)( 94,125)( 97,102)( 98,151)( 99,140)(101,106)
        (104,110)(105,152)(108,114)(109,149)(112,143)(113,154)(117,122)(118,144)(120,126)(121,130)(128,134)(129,145)
        (132,138)(133,159)(136,142)(137,156)(141,147)(146,158)(148,153)(150,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 38, 43)( 39, 95)( 40, 68)( 42, 47)( 45, 51)( 46, 96)( 49, 55)( 50, 99)( 53, 59)( 54,103)( 57, 72)
        ( 58,107)( 61, 67)( 62, 70)( 63, 87)( 66, 71)( 69, 91)( 73, 78)( 74,111)( 76, 82)( 77,116)( 80, 86)( 81,119)
        ( 84, 90)( 85,123)( 88, 94)( 89,127)( 92, 98)( 93,131)( 97,102)(100,106)(101,132)(104,110)(105,135)(108,114)
        (109,139)(112,115)(113,143)(117,122)(118,144)(120,126)(121,148)(124,130)(125,151)(128,134)(129,154)(133,138)
        (136,142)(137,155)(140,146)(141,158)(145,147)(149,153)(150,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 71)( 43, 96)( 46, 52)( 47,103)( 48, 72)( 50, 56)( 51,107)( 54, 75)( 55,111)
        ( 58, 63)( 59,119)( 60, 91)( 62, 67)( 65, 70)( 66,120)( 69, 95)( 73, 99)( 74, 97)( 76, 82)( 77,127)( 78,115)
        ( 80, 86)( 81,128)( 84, 90)( 85,131)( 88, 94)( 89,135)( 92,101)( 93,139)( 98,121)(100,106)(102,122)(104,110)
        (105,140)(108,114)(109,143)(112,118)(113,147)(116,123)(117,150)(124,130)(125,158)(126,151)(129,134)(132,138)
        (133,159)(136,142)(137,156)(141,146)(144,149)(145,157)(148,153)(152,154)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 75)( 28, 53)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 68)( 43, 92)( 46, 52)( 47,103)( 48, 69)( 50, 55)( 51,107)( 54, 72)( 57, 63)
        ( 58,115)( 59, 87)( 61, 67)( 62,118)( 66, 91)( 70, 99)( 71, 95)( 73, 78)( 74,108)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84, 90)( 85,134)( 88,111)( 89,137)( 93, 98)( 94,119)( 96,122)( 97,146)(100,106)(101,149)(102,123)
        (104,110)(105,153)(109,126)(112,117)(113,148)(114,141)(116,121)(120,145)(124,142)(125,147)(128,133)(129,154)
        (131,136)(132,158)(135,140)(138,144)(139,159)(143,152)(150,156)(151,160)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 98)( 40, 70)( 42, 48)( 43,101)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,120)( 62, 68)( 63,110)( 64, 93)( 66, 72)( 67,128)( 71, 97)( 75,108)( 76,105)( 78, 84)
        ( 79,136)( 80,124)( 82, 88)( 83,139)( 86, 92)( 87,142)( 90, 96)( 91,146)( 94,114)( 95,150)( 99,103)(100,129)
        (102,107)(106,130)(109,115)(111,131)(113,119)(117,123)(118,151)(121,127)(122,154)(125,132)(126,157)(133,138)
        (134,144)(135,158)(137,141)(140,145)(143,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,101)( 40, 72)( 42, 48)( 43,102)( 46, 76)( 47,104)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 68)( 63,127)( 64, 96)( 66, 71)( 67,131)( 70, 75)( 73,100)( 74,132)( 78,111)
        ( 79,108)( 81, 87)( 82,139)( 83,124)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,113)( 98,153)
        (103,107)(105,110)(106,133)(109,129)(112,118)(114,130)(116,122)(117,154)(120,126)(121,157)(125,135)(128,134)
        (136,141)(137,147)(138,158)(140,144)(143,148)(146,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 38, 43)( 39, 95)( 40, 65)( 42, 47)( 45, 68)( 46, 96)( 50, 55)( 51, 69)( 53, 72)( 54,104)( 57, 63)
        ( 58,115)( 59, 87)( 61, 67)( 62,119)( 66, 91)( 70,103)( 71, 99)( 73, 78)( 74,130)( 75,107)( 77, 82)( 80, 86)
        ( 81,131)( 84, 90)( 85,134)( 88,111)( 89,138)( 92, 98)( 93,146)( 94,120)( 97,102)(100,122)(101,147)(105,110)
        (106,123)(108,126)(109,155)(112,118)(113,152)(114,142)(116,121)(117,149)(124,154)(125,150)(127,133)(128,136)
        (129,158)(132,137)(135,141)(139,145)(140,159)(143,151)(144,157)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 61)( 41, 47)( 42, 92)( 45, 64)( 46, 95)( 49, 55)( 50,107)( 51, 65)( 54, 68)( 57, 63)
        ( 58,115)( 59, 83)( 62, 87)( 66,103)( 67, 99)( 69, 74)( 70,127)( 71,108)( 73, 78)( 76, 82)( 77,128)( 80, 86)
        ( 81,131)( 84,111)( 85,135)( 88, 94)( 89,147)( 90,116)( 93, 98)( 96,102)( 97,148)(100,119)(101,145)(104,110)
        (105,157)(106,120)(109,123)(112,118)(113,152)(114,139)(117,143)(121,154)(122,150)(124,130)(125,133)(126,158)
        (129,134)(132,138)(136,142)(137,159)(140,151)(141,156)(144,149)(146,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 39)( 23, 35)( 26, 47)( 27, 44)( 29, 34)( 30, 55)( 32, 38)( 33, 68)( 36, 59)
        ( 37, 71)( 40, 46)( 41, 83)( 42, 60)( 45, 63)( 48, 54)( 49, 91)( 50, 64)( 53, 58)( 56, 67)( 57, 92)( 61, 79)
        ( 62, 75)( 65, 87)( 66, 84)( 69, 74)( 70, 95)( 72, 78)( 73,108)( 76, 99)( 77,111)( 80, 86)( 81,123)( 82,100)
        ( 85,103)( 88, 94)( 89,131)( 90,104)( 93, 98)( 96,107)( 97,132)(101,119)(102,115)(105,127)(106,124)(109,114)
        (110,135)(112,118)(113,144)(116,122)(117,147)(120,126)(121,151)(125,139)(128,134)(129,158)(130,140)(133,138)
        (136,143)(137,159)(141,154)(142,152)(145,150)(146,156)(148,153)(149,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,106)( 46, 75)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,122)( 61, 67)( 62,120)( 63, 95)( 65, 71)( 66,116)( 69, 74)( 70,112)( 73, 99)( 77,110)( 78,107)
        ( 80, 86)( 81,131)( 82,126)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92, 98)( 93,142)( 96,124)( 97,146)(100,105)
        (101,108)(102,113)(104,109)(111,117)(115,121)(119,125)(123,129)(127,130)(128,147)(132,137)(133,150)(135,141)
        (136,155)(139,145)(140,157)(143,149)(144,158)(148,153)(151,154)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 75)( 40, 69)( 43, 72)( 46, 52)( 47, 67)( 48, 73)( 50, 56)( 51, 63)( 54, 76)( 55, 59)
        ( 58, 64)( 60, 92)( 62, 68)( 66, 71)( 70, 74)( 77, 83)( 78,100)( 79, 93)( 81, 87)( 82,104)( 85, 91)( 86,108)
        ( 89, 95)( 90,112)( 94, 96)( 97,103)( 98,120)( 99,113)(101,107)(102,124)(105,111)(106,128)(109,115)(110,132)
        (114,116)(117,123)(118,139)(119,133)(121,127)(122,143)(125,131)(126,147)(129,135)(130,151)(134,136)(137,142)
        (138,152)(140,146)(141,156)(144,150)(145,158)(148,154)(149,159)(153,155)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 97)( 40, 70)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 90)( 66, 72)( 67,136)( 71, 93)( 75,113)( 76,109)( 78, 84)
        ( 79,146)( 80,127)( 82, 88)( 83,150)( 86, 92)( 87,154)( 91,131)( 94,100)( 95,133)( 96,137)( 98,104)( 99,156)
        (102,108)(103,152)(106,112)(107,148)(110,139)(111,145)(114,119)(115,140)(117,122)(118,159)(121,126)(124,130)
        (125,160)(128,143)(129,142)(132,138)(134,155)(141,158)(144,149)(147,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 70)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 89)( 66, 72)( 67, 96)( 71, 93)( 75,113)( 76,109)( 78, 84)
        ( 79,147)( 80,127)( 83, 88)( 86, 92)( 87,148)( 90,131)( 91,151)( 94,100)( 95,136)( 98,104)( 99,137)(102,108)
        (103,133)(106,112)(107,155)(110,139)(111,146)(114,119)(115,140)(117,122)(118,159)(121,126)(124,130)(125,160)
        (128,143)(129,142)(132,138)(134,154)(141,158)(144,150)(145,156)(149,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 97)( 40, 70)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 89)( 66, 72)( 67, 96)( 71, 93)( 75,113)( 76,109)( 78, 84)
        ( 79,147)( 80,127)( 82, 88)( 83,150)( 87, 92)( 90,131)( 91,151)( 94,100)( 95,136)( 98,104)( 99,137)(102,108)
        (103,133)(106,112)(107,155)(110,139)(111,146)(114,119)(115,140)(117,122)(118,159)(121,126)(124,130)(125,160)
        (128,143)(129,142)(132,138)(134,154)(141,158)(144,149)(145,156)(148,153)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 93)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,118)( 61, 67)( 62,127)( 63, 88)( 65, 71)( 66,130)( 69, 75)( 70,134)( 73, 92)( 74,135)( 78,108)
        ( 79,104)( 82, 87)( 83,122)( 85, 91)( 86,147)( 89,126)( 90,150)( 94, 99)( 95,138)( 97,103)( 98,156)(101,107)
        (102,152)(105,142)(106,149)(109,114)(110,143)(112,117)(113,159)(116,121)(119,125)(120,160)(123,146)(124,145)
        (128,133)(129,154)(131,137)(132,140)(136,141)(139,155)(144,158)(148,153)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 84)( 66, 71)( 69, 88)( 70,131)( 74,108)( 75,104)( 78, 83)( 79,122)
        ( 81, 87)( 82,139)( 85,126)( 86,142)( 89, 95)( 90,128)( 91,132)( 93, 99)( 94,147)( 97,103)( 98,150)(101,107)
        (102,151)(105,134)(106,154)(109,114)(110,120)(111,135)(113,117)(116,121)(119,125)(123,138)(124,136)(127,133)
        (129,146)(137,158)(140,145)(141,159)(143,149)(144,156)(148,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 38, 44)( 39, 91)( 40, 66)( 42, 48)( 43, 95)( 46, 68)( 47, 99)( 50, 55)( 51, 69)( 53, 59)( 54,108)
        ( 57, 72)( 58,111)( 61, 67)( 62, 94)( 63, 87)( 70,107)( 71,103)( 73, 78)( 74,131)( 75,115)( 77, 82)( 80, 86)
        ( 81,132)( 84, 90)( 85,135)( 88,119)( 89,136)( 92, 98)( 93,120)( 96,102)( 97,143)(100,106)(101,144)(104,123)
        (105,147)(109,114)(110,124)(112,118)(113,156)(116,127)(117,158)(121,146)(122,139)(125,155)(126,151)(128,134)
        (129,141)(130,153)(133,138)(137,142)(140,149)(145,150)(148,154)(152,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 67)( 42, 48)( 43, 96)( 46, 69)( 47,100)( 50, 56)( 51,112)( 52, 70)( 54, 60)
        ( 55,115)( 58, 73)( 59,118)( 62, 68)( 63, 95)( 64, 88)( 71,108)( 72,104)( 74, 79)( 75,138)( 76,122)( 78, 83)
        ( 81, 87)( 82,139)( 85, 91)( 86,142)( 89,126)( 90,143)( 93, 99)( 94,127)( 97,103)( 98,150)(101,107)(102,151)
        (105,130)(106,154)(109,114)(110,120)(111,131)(113,117)(116,121)(119,125)(123,134)(124,132)(128,153)(129,146)
        (133,158)(135,141)(136,148)(137,159)(140,145)(144,149)(147,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 73)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 68)( 43, 91)( 46, 51)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,103)( 57, 63)
        ( 58,115)( 59, 76)( 61, 67)( 62,119)( 66, 80)( 70, 99)( 71, 95)( 74, 79)( 75,107)( 77,111)( 78,128)( 81, 87)
        ( 82,139)( 83,120)( 85, 90)( 86,143)( 89, 94)( 92, 98)( 93,144)( 96,123)( 97,147)(101,106)(102,124)(104,110)
        (105,156)(108,127)(109,158)(112,118)(113,137)(114,131)(116,122)(117,138)(121,135)(125,155)(126,151)(129,134)
        (130,153)(132,141)(133,149)(136,142)(140,146)(145,150)(148,154)(152,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 52)( 31, 56)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 68)( 43, 92)( 46, 51)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,103)( 57, 63)
        ( 58,115)( 59, 77)( 61, 67)( 62,119)( 66, 80)( 70, 99)( 71, 95)( 73, 79)( 74,131)( 75,107)( 78,111)( 81, 87)
        ( 82,139)( 83,120)( 85, 91)( 86,143)( 89, 94)( 90,147)( 93, 98)( 96,123)( 97,148)(101,106)(102,124)(104,110)
        (105,156)(108,127)(109,158)(112,118)(113,137)(114,132)(116,122)(117,138)(121,135)(125,155)(126,151)(128,134)
        (129,145)(130,153)(133,141)(136,142)(140,146)(144,150)(149,154)(152,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 85)
        ( 36, 66)( 38, 44)( 39, 89)( 42, 69)( 43, 93)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,107)( 54, 73)( 55,110)
        ( 58, 64)( 59,122)( 60, 78)( 62, 68)( 63,126)( 67, 81)( 71,100)( 72, 96)( 74, 80)( 75,138)( 76,114)( 79,118)
        ( 82, 88)( 83,146)( 84,127)( 86, 92)( 87,150)( 90, 95)( 91,154)( 94, 99)( 97,130)( 98,155)(101,106)(102,112)
        (103,131)(105,109)(108,113)(111,117)(115,134)(116,132)(119,125)(120,144)(121,139)(123,129)(124,145)(128,142)
        (133,158)(135,141)(136,152)(137,159)(140,148)(143,149)(147,153)(151,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 82)( 42, 48)( 43, 93)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51, 99)( 54, 60)( 55,111)( 56, 78)
        ( 58, 64)( 59,115)( 62, 68)( 63,119)( 66, 81)( 67,123)( 71, 89)( 72, 85)( 74, 80)( 75,138)( 76,103)( 79,107)
        ( 83, 88)( 84,127)( 86,130)( 87,143)( 90, 95)( 91,101)( 92,131)( 94, 98)( 97,102)(100,106)(104,134)(105,132)
        (108,114)(109,153)(110,139)(112,118)(113,154)(116,122)(117,155)(120,126)(121,151)(124,129)(125,157)(128,142)
        (133,146)(135,141)(136,159)(137,147)(140,149)(144,148)(145,158)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42, 97)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,118)( 61, 67)( 62,130)( 63, 88)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 92)( 74,136)( 78,108)
        ( 79,104)( 82, 87)( 83,122)( 85, 91)( 86,143)( 89,126)( 90,146)( 93, 99)( 94,150)( 95,132)( 98,103)(101,107)
        (102,151)(105,138)(106,154)(109,114)(110,120)(111,139)(113,117)(116,121)(119,125)(123,142)(124,140)(127,133)
        (128,153)(129,147)(131,137)(141,158)(144,149)(145,159)(148,156)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 82)( 42, 48)( 43, 93)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51, 99)( 54, 60)( 55,111)( 56, 78)
        ( 58, 64)( 59,115)( 62, 68)( 63,119)( 66, 81)( 67,123)( 71, 89)( 72, 85)( 74, 80)( 75,139)( 76,103)( 79,107)
        ( 83, 88)( 84,127)( 86,131)( 87,143)( 90, 95)( 91,101)( 92,132)( 94, 98)( 97,102)(100,106)(104,135)(105,133)
        (108,114)(109,149)(110,140)(112,118)(113,153)(116,122)(117,157)(120,126)(121,158)(124,130)(125,159)(128,142)
        (129,155)(134,146)(136,141)(137,152)(138,147)(144,148)(145,151)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 89)( 42, 69)( 43, 93)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,107)( 54, 73)( 55,111)
        ( 58, 64)( 59,122)( 60, 78)( 63, 68)( 66, 81)( 67,123)( 71,101)( 72, 97)( 74, 80)( 75,138)( 76,115)( 79,118)
        ( 82, 88)( 83,145)( 84,126)( 86, 92)( 87,146)( 90, 96)( 91,147)( 94,100)( 95,143)( 98,130)( 99,149)(102,106)
        (103,131)(105,110)(108,114)(109,132)(112,117)(113,154)(116,134)(119,125)(120,157)(121,139)(124,129)(127,141)
        (128,158)(133,153)(135,140)(136,160)(137,155)(142,148)(144,152)(150,156)(151,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 51)( 27, 48)( 29, 35)( 30, 75)( 31, 59)( 33, 39)( 34, 76)
        ( 37, 63)( 38, 79)( 41, 47)( 42, 91)( 43, 64)( 45, 50)( 46, 95)( 49, 67)( 52, 58)( 53,103)( 54, 68)( 57, 62)
        ( 60, 71)( 61,104)( 65, 87)( 66, 83)( 69, 99)( 70, 96)( 72, 78)( 73,122)( 74,107)( 77, 82)( 80, 86)( 81,123)
        ( 84,111)( 85,126)( 88, 94)( 89,134)( 90,112)( 92, 98)( 93,137)( 97,114)(100,106)(101,145)(102,115)(105,110)
        (108,118)(109,146)(113,130)(116,141)(117,138)(119,125)(120,158)(121,149)(124,129)(127,133)(128,159)(131,136)
        (132,156)(135,140)(139,153)(142,148)(143,151)(144,154)(147,152)(150,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 70)( 42, 48)( 43, 98)( 46, 73)( 47,101)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,120)( 62, 68)( 63,131)( 64, 89)( 66, 72)( 67,135)( 71, 93)( 75,108)( 76,105)( 78, 84)
        ( 79,147)( 80,123)( 83, 88)( 86, 92)( 87,148)( 90,127)( 91,145)( 94,100)( 95,155)( 96,136)( 99,104)(102,107)
        (103,156)(106,139)(109,115)(110,129)(111,140)(113,119)(114,151)(117,122)(118,158)(121,126)(124,143)(125,159)
        (128,134)(130,150)(132,138)(133,141)(137,154)(142,157)(144,149)(146,153)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 84)( 66, 71)( 69, 88)( 70,131)( 74,107)( 75,103)( 78, 83)( 79,122)
        ( 81, 87)( 82,143)( 85,126)( 86,146)( 89, 94)( 90,134)( 92, 98)( 93,155)( 96,102)( 97,152)(100,106)(101,148)
        (104,138)(105,145)(108,113)(109,158)(110,139)(112,117)(115,121)(116,159)(119,125)(120,160)(123,142)(124,141)
        (127,133)(128,136)(129,150)(132,137)(135,154)(140,157)(144,149)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,119)( 61, 67)( 62,131)( 63, 84)( 66, 71)( 69, 88)( 70,132)( 74,108)( 75,104)( 78, 83)( 79,123)
        ( 81, 87)( 82,140)( 85,127)( 86,143)( 89, 95)( 90,151)( 91,133)( 93, 99)( 94,154)( 97,103)( 98,149)(101,107)
        (102,145)(105,135)(106,142)(109,115)(110,158)(111,136)(113,118)(114,159)(117,122)(120,126)(121,160)(124,139)
        (125,138)(128,134)(129,153)(130,147)(137,157)(141,146)(144,150)(148,155)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,110)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 84)( 66, 71)( 69, 88)( 70,131)( 74,107)( 75,103)( 78, 83)( 79,122)
        ( 81, 87)( 82,142)( 85,126)( 86,145)( 89, 94)( 90,134)( 92, 98)( 93,154)( 96,102)( 97,151)(100,106)(101,147)
        (104,137)(105,144)(108,113)(109,138)(111,117)(112,158)(115,121)(116,159)(119,125)(120,160)(123,141)(124,140)
        (127,133)(128,156)(129,149)(132,136)(135,153)(139,157)(143,148)(146,152)(150,155),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 94)( 40, 73)( 42, 48)( 43, 98)( 46, 76)( 47,102)( 50, 56)( 51,113)( 52, 77)( 54, 60)
        ( 55,117)( 58, 80)( 59,121)( 62, 68)( 63,129)( 64, 86)( 66, 72)( 67,133)( 70, 75)( 71,137)( 74, 91)( 78,110)
        ( 79,106)( 81, 87)( 82,132)( 83,125)( 85, 90)( 92, 97)( 93,138)( 95,101)( 96,150)( 99,105)(100,151)(103,109)
        (104,153)(107,141)(108,148)(111,116)(112,142)(114,120)(115,158)(118,124)(119,159)(122,128)(123,160)(126,145)
        (127,144)(130,136)(131,146)(134,140)(135,155)(139,149)(143,157)(147,154)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 95)( 40, 73)( 42, 48)( 43, 98)( 46, 76)( 47,102)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,117)( 58, 80)( 59,121)( 62, 68)( 63,129)( 64, 86)( 66, 72)( 67,133)( 70, 75)( 71,137)( 74, 91)( 78,110)
        ( 79,106)( 81, 87)( 82,132)( 83,125)( 85, 90)( 92, 97)( 93,150)( 94,138)( 96,101)( 99,105)(100,151)(103,109)
        (104,153)(107,141)(108,148)(111,116)(112,158)(113,142)(115,120)(118,124)(119,159)(122,128)(123,160)(126,145)
        (127,144)(130,136)(131,146)(134,140)(135,155)(139,149)(143,157)(147,154)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39, 95)( 40, 73)( 42, 48)( 43, 98)( 46, 77)( 47,102)( 50, 56)( 51,114)( 52, 78)( 54, 60)
        ( 55,118)( 58, 81)( 59,121)( 62, 68)( 63,129)( 64, 87)( 66, 72)( 67,133)( 70, 76)( 71,137)( 74, 92)( 75,138)
        ( 79,110)( 80,106)( 82, 88)( 83,132)( 84,125)( 86, 91)( 93, 97)( 94,141)( 96,101)( 99,105)(100,142)(103,109)
        (104,153)(107,145)(108,152)(111,117)(112,158)(113,146)(115,120)(116,159)(119,124)(122,128)(123,160)(126,149)
        (127,148)(130,136)(131,150)(134,140)(135,155)(139,144)(143,156)(147,157)(151,154),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 86)
        ( 36, 69)( 38, 44)( 39, 89)( 42, 73)( 43, 93)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 85)( 71,134)( 75,101)( 76, 97)( 79, 84)
        ( 80,116)( 82,120)( 83,146)( 87, 92)( 88,137)( 90, 96)( 91,154)( 94,100)( 95,151)( 98,141)( 99,148)(102,107)
        (103,142)(105,111)(106,158)(109,115)(110,159)(113,119)(114,160)(117,145)(118,144)(121,126)(122,149)(124,130)
        (125,156)(128,133)(129,139)(132,136)(135,140)(138,153)(143,157)(147,152)(150,155),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,115)
        ( 58, 64)( 59,126)( 60, 80)( 62, 68)( 63,130)( 66, 71)( 67,134)( 70, 84)( 74,104)( 75,100)( 78, 83)( 79,119)
        ( 81,123)( 82,142)( 85, 91)( 86,149)( 87,135)( 89, 95)( 90,150)( 93, 99)( 94,153)( 97,103)( 98,147)(101,137)
        (102,144)(105,110)(106,158)(107,138)(109,114)(112,118)(113,159)(116,122)(117,160)(120,141)(121,140)(124,129)
        (125,145)(127,133)(128,155)(131,136)(132,152)(139,157)(143,148)(146,154)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 87)
        ( 36, 69)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,114)
        ( 58, 64)( 59,125)( 60, 80)( 62, 68)( 63,129)( 66, 71)( 67,133)( 70, 84)( 74,103)( 75, 99)( 78, 83)( 79,118)
        ( 81,122)( 82,142)( 85, 90)( 86,134)( 88, 94)( 89,150)( 92, 98)( 93,153)( 96,102)( 97,147)(100,137)(101,144)
        (104,110)(105,158)(106,138)(108,113)(109,159)(112,117)(115,121)(116,160)(119,141)(120,140)(123,128)(124,145)
        (126,132)(127,155)(130,136)(131,152)(135,149)(139,157)(143,148)(146,154)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42, 99)( 43, 69)( 45, 51)( 46,103)( 49, 72)( 50,107)( 53, 59)( 54,119)( 55, 73)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 76)( 66,128)( 70, 96)( 71, 92)( 74,115)( 75,111)( 77, 83)( 78,145)
        ( 79,131)( 81, 87)( 82,149)( 85, 91)( 86,153)( 89, 95)( 90,154)( 93,134)( 94,141)( 97,102)( 98,135)(100,106)
        (101,158)(104,110)(105,159)(108,114)(109,160)(112,138)(113,137)(116,122)(117,151)(118,139)(120,126)(121,147)
        (124,130)(125,144)(129,133)(132,142)(136,157)(140,155)(143,148)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 49, 55)( 50,115)( 51, 69)( 53, 59)( 54,119)
        ( 57, 72)( 58,123)( 62, 67)( 63, 88)( 65, 92)( 66, 89)( 70,112)( 71,108)( 73, 79)( 74,142)( 75,127)( 77, 83)
        ( 78,146)( 81, 87)( 82,150)( 85, 91)( 86,154)( 90,133)( 93, 99)( 94,152)( 95,131)( 97,103)( 98,148)(101,107)
        (102,144)(105,111)(106,140)(109,134)(110,141)(113,118)(114,135)(116,122)(117,158)(120,126)(121,159)(124,130)
        (125,160)(128,138)(129,137)(132,155)(136,157)(139,145)(143,149)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42,100)( 43, 69)( 45, 51)( 46,103)( 49, 72)( 50,107)( 53, 59)( 54,119)( 55, 73)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 76)( 66,130)( 70, 96)( 71, 92)( 74,115)( 75,111)( 77, 83)( 78,145)
        ( 79,131)( 81, 87)( 82,149)( 85, 91)( 86,153)( 89, 95)( 90,154)( 93,134)( 94,141)( 97,102)( 98,158)( 99,135)
        (101,106)(104,110)(105,159)(108,114)(109,160)(112,138)(113,137)(116,122)(117,151)(118,139)(120,126)(121,147)
        (124,129)(125,144)(128,133)(132,142)(136,157)(140,155)(143,148)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,115)( 51, 69)( 53, 59)( 54,118)
        ( 57, 72)( 58,122)( 62, 67)( 63, 88)( 65, 91)( 66,131)( 70,111)( 71,107)( 73, 79)( 74,142)( 75,126)( 77, 83)
        ( 78,146)( 81, 87)( 82,150)( 85, 90)( 86,154)( 89,130)( 92, 98)( 93,152)( 94,132)( 96,102)( 97,148)(100,106)
        (101,144)(104,110)(105,140)(108,134)(109,141)(112,117)(113,158)(114,135)(116,121)(119,125)(120,159)(123,129)
        (124,160)(127,138)(128,137)(133,155)(136,157)(139,145)(143,149)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42,100)( 43, 69)( 45, 51)( 46,104)( 49, 72)( 50,107)( 53, 59)( 54,119)( 55, 73)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 76)( 66,130)( 70, 96)( 71, 92)( 74,115)( 75,111)( 77, 83)( 78,146)
        ( 79,133)( 81, 87)( 82,149)( 85, 91)( 86,153)( 89, 95)( 90,154)( 93,137)( 94,144)( 97,103)( 98,158)( 99,138)
        (101,106)(102,159)(105,110)(108,114)(109,160)(112,141)(113,140)(116,122)(117,151)(118,142)(120,126)(121,148)
        (124,129)(125,135)(128,132)(131,136)(134,145)(139,157)(143,155)(147,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 49, 55)( 50,115)( 51, 69)( 53, 59)( 54,119)
        ( 57, 72)( 58,122)( 62, 67)( 63, 88)( 65, 91)( 66,131)( 70,111)( 71,107)( 73, 79)( 74,145)( 75,126)( 77, 83)
        ( 78,149)( 81, 87)( 82,153)( 85, 90)( 86,135)( 89,130)( 92, 98)( 93,155)( 94,133)( 96,102)( 97,151)(100,106)
        (101,147)(104,110)(105,143)(108,137)(109,144)(112,118)(113,158)(114,138)(116,121)(117,159)(120,125)(123,129)
        (124,160)(127,141)(128,140)(132,136)(134,154)(139,157)(142,148)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 68)( 42, 47)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 91)( 66, 71)( 69, 95)( 70,131)( 74,107)( 75,103)( 77, 82)( 78,137)
        ( 79,122)( 81, 86)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,126)( 93,142)( 96,102)( 97,149)( 98,128)(101,106)
        (104,110)(105,150)(108,114)(109,153)(112,117)(113,157)(116,121)(119,125)(120,158)(123,133)(124,159)(127,132)
        (129,145)(134,140)(135,147)(136,155)(139,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 68)( 42, 47)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,130)( 63, 91)( 66, 71)( 69, 95)( 70,131)( 74,107)( 75,103)( 77, 82)( 78,137)
        ( 79,122)( 81, 86)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,126)( 93,142)( 96,102)( 97,149)( 98,128)(101,106)
        (104,110)(105,150)(108,114)(109,153)(112,118)(113,157)(116,121)(117,158)(120,125)(123,133)(124,159)(127,132)
        (129,145)(134,140)(135,147)(136,155)(139,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 71)( 42, 47)( 45, 75)( 46,100)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 66)( 62,130)( 63, 91)( 65, 70)( 68, 74)( 69,131)( 72, 95)( 73,132)( 77,107)( 78,103)
        ( 80, 86)( 81,138)( 82,122)( 85, 90)( 88, 94)( 89,139)( 92,126)( 93,142)( 96,102)( 97,149)( 98,128)(101,106)
        (104,110)(105,150)(108,114)(109,153)(112,117)(113,157)(116,121)(119,125)(120,158)(123,134)(124,159)(127,133)
        (129,145)(135,141)(136,147)(137,155)(140,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 99)( 40, 71)( 42, 47)( 45, 75)( 46,100)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,118)( 61, 66)( 62,130)( 63, 91)( 65, 70)( 68, 74)( 69,131)( 72, 95)( 73,132)( 77,107)( 78,103)
        ( 80, 86)( 81,138)( 82,122)( 84, 90)( 85,141)( 89, 94)( 92,126)( 93,142)( 96,102)( 97,149)( 98,128)(101,106)
        (104,110)(105,150)(108,114)(109,153)(112,117)(113,157)(116,121)(119,125)(120,158)(123,134)(124,159)(127,133)
        (129,145)(135,140)(136,147)(137,155)(139,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 68)( 42, 72)( 43, 93)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,105)( 54, 76)( 55,108)
        ( 58, 63)( 59,120)( 60, 88)( 62, 67)( 65, 71)( 66,121)( 69, 92)( 70,124)( 74,100)( 75, 96)( 77, 83)( 78,138)
        ( 79,112)( 82, 87)( 85, 91)( 86,139)( 89,116)( 90,142)( 94, 99)( 95,127)( 97,131)( 98,150)(101,107)(102,157)
        (103,132)(106,111)(109,115)(110,158)(113,134)(114,159)(117,123)(118,129)(119,145)(122,126)(125,130)(128,149)
        (133,153)(135,141)(136,147)(137,155)(140,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 71)( 42, 47)( 45, 75)( 46,100)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,130)( 63, 91)( 65, 70)( 66,131)( 69, 74)( 72, 95)( 73,132)( 77,107)( 78,103)
        ( 80, 86)( 81,138)( 82,122)( 85, 90)( 88, 94)( 89,139)( 92,126)( 93,142)( 96,102)( 97,149)( 98,128)(101,106)
        (104,110)(105,150)(108,114)(109,153)(112,118)(113,157)(116,121)(117,158)(120,125)(123,134)(124,159)(127,133)
        (129,145)(135,141)(136,147)(137,155)(140,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 99)( 40, 71)( 42, 47)( 45, 75)( 46,100)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,130)( 63, 91)( 65, 70)( 66,131)( 69, 74)( 72, 95)( 73,132)( 77,107)( 78,103)
        ( 80, 86)( 81,138)( 82,122)( 84, 90)( 85,141)( 89, 94)( 92,126)( 93,142)( 96,102)( 97,149)( 98,128)(101,106)
        (104,110)(105,150)(108,114)(109,153)(112,118)(113,157)(116,121)(117,158)(120,125)(123,134)(124,159)(127,133)
        (129,145)(135,140)(136,147)(137,155)(139,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46, 99)( 49, 55)( 50,108)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,115)( 61, 67)( 62, 91)( 63, 84)( 66, 88)( 70,107)( 71,103)( 73, 79)( 74,134)( 75,118)( 78, 83)
        ( 81, 87)( 82,135)( 85,122)( 86,138)( 89, 95)( 90,123)( 93, 98)( 94,145)( 97,102)(100,106)(101,146)(104,126)
        (105,149)(109,114)(110,127)(112,117)(113,158)(116,121)(119,130)(120,159)(124,148)(125,141)(128,157)(129,153)
        (131,137)(132,143)(133,155)(136,140)(139,144)(142,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 68)( 42, 72)( 43, 93)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,109)
        ( 58, 64)( 59,120)( 60, 88)( 62, 67)( 63,123)( 66, 71)( 69, 92)( 70,124)( 74,100)( 75, 96)( 77, 83)( 78,138)
        ( 79,112)( 82, 87)( 85, 91)( 86,139)( 89,116)( 90,142)( 94, 99)( 95,127)( 97,131)( 98,150)(101,107)(102,157)
        (103,132)(105,111)(106,158)(110,115)(113,134)(114,159)(117,122)(118,129)(119,145)(121,126)(125,130)(128,149)
        (133,153)(135,141)(136,147)(137,155)(140,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 68)( 42, 72)( 43, 93)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,109)
        ( 58, 64)( 59,120)( 60, 88)( 62, 67)( 63,123)( 66, 71)( 69, 92)( 70,124)( 74,100)( 75, 96)( 77, 83)( 78,138)
        ( 79,112)( 81, 87)( 82,141)( 86, 91)( 89,116)( 90,142)( 94, 99)( 95,127)( 97,131)( 98,150)(101,107)(102,157)
        (103,132)(105,111)(106,158)(110,115)(113,134)(114,159)(117,122)(118,129)(119,145)(121,126)(125,130)(128,149)
        (133,153)(135,140)(136,147)(137,155)(139,144)(143,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 93)( 45, 68)( 46, 96)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,112)( 61, 67)( 62,123)( 63, 84)( 66, 88)( 70,104)( 71,100)( 73, 79)( 74,134)( 75,115)( 78, 83)
        ( 81, 87)( 82,135)( 85,119)( 86,138)( 89, 95)( 90,145)( 91,124)( 94, 99)( 97,103)( 98,146)(101,126)(102,149)
        (105,110)(106,127)(108,114)(109,158)(113,118)(116,130)(117,159)(120,125)(121,148)(122,141)(128,157)(129,153)
        (131,137)(132,143)(133,155)(136,140)(139,144)(142,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 93)( 45, 68)( 46, 96)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,112)( 61, 67)( 62,123)( 63, 84)( 66, 88)( 70,104)( 71,100)( 73, 79)( 74,134)( 75,115)( 77, 83)
        ( 78,137)( 82, 87)( 85,119)( 86,138)( 89, 95)( 90,145)( 91,124)( 94, 99)( 97,103)( 98,146)(101,126)(102,149)
        (105,110)(106,127)(108,114)(109,158)(113,118)(116,130)(117,159)(120,125)(121,148)(122,141)(128,157)(129,153)
        (131,136)(132,143)(133,155)(135,140)(139,144)(142,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 55)( 29, 34)( 32, 59)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 64)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,108)( 56, 71)
        ( 57,111)( 60, 66)( 61, 86)( 62, 79)( 65, 83)( 69,103)( 70, 99)( 72, 78)( 73,130)( 74,115)( 77, 82)( 80,119)
        ( 81,131)( 84, 90)( 85,120)( 88, 94)( 89,138)( 92, 98)( 93,139)( 96,102)( 97,142)(100,123)(101,146)(104,110)
        (105,154)(106,124)(109,114)(112,118)(113,155)(116,126)(117,156)(121,141)(122,134)(125,150)(127,133)(128,158)
        (129,152)(132,137)(135,144)(136,159)(140,145)(143,149)(147,153)(148,160)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 91)( 40, 70)( 42, 48)( 43, 95)( 46, 72)( 47, 99)( 50, 56)( 51,111)( 52, 73)( 54, 60)
        ( 55,114)( 58, 76)( 59,118)( 62, 68)( 63,130)( 64, 88)( 66, 71)( 67, 94)( 74,107)( 75,103)( 78, 83)( 79,122)
        ( 81, 87)( 82,139)( 85, 90)( 86,142)( 89,126)( 92, 98)( 93,131)( 96,102)( 97,146)(100,106)(101,149)(104,134)
        (105,153)(108,113)(109,116)(110,135)(112,117)(115,121)(119,125)(120,136)(123,138)(124,158)(127,133)(128,151)
        (129,143)(132,148)(137,157)(140,145)(141,159)(144,155)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 72)( 43, 93)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,105)( 54, 76)( 55,108)
        ( 58, 64)( 59,120)( 60, 88)( 62, 68)( 63,123)( 66, 71)( 67,127)( 70, 92)( 74,100)( 75, 96)( 77, 83)( 78,138)
        ( 79,112)( 81, 87)( 82,142)( 86, 91)( 89,116)( 90,143)( 94, 99)( 95,128)( 97,131)( 98,146)(101,107)(102,153)
        (103,132)(106,111)(109,115)(110,154)(113,134)(114,155)(117,122)(118,157)(119,140)(121,126)(124,130)(125,158)
        (129,145)(133,149)(135,141)(136,160)(137,151)(139,144)(147,152)(148,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 52)( 30, 35)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,106)( 57, 63)
        ( 58,118)( 59, 83)( 61, 66)( 62,122)( 65, 70)( 68, 87)( 69,123)( 73, 95)( 74, 91)( 76, 82)( 77,134)( 78,110)
        ( 81, 86)( 84,114)( 85,135)( 89, 94)( 90,126)( 92, 98)( 93,142)( 96,102)( 97,145)(100,105)(101,149)(104,109)
        (107,113)(108,150)(111,130)(112,151)(115,121)(116,157)(117,138)(119,125)(120,158)(124,129)(127,141)(128,159)
        (131,137)(132,156)(133,147)(136,140)(139,153)(143,148)(144,155)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 55)( 29, 34)( 32, 59)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 64)( 40, 46)( 41, 88)( 44, 67)( 45, 91)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,111)( 60, 66)( 61,122)( 62, 79)( 65, 83)( 69, 99)( 70, 95)( 72, 78)( 73,130)( 74,114)( 77, 82)( 80,118)
        ( 81,131)( 84, 90)( 85,141)( 86,123)( 89, 94)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)(104,110)
        (105,153)(108,113)(109,154)(112,117)(115,126)(116,155)(119,125)(120,140)(121,134)(124,137)(127,133)(128,160)
        (129,151)(132,136)(135,157)(138,144)(139,158)(143,148)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 80)( 28, 56)( 30, 35)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,115)( 61, 67)( 62,127)( 63, 84)( 66, 71)( 69, 87)( 70,128)( 74,107)( 75,103)( 77, 83)( 78,126)
        ( 79,119)( 82, 86)( 85,123)( 88, 94)( 89,146)( 90,131)( 92, 98)( 93,150)( 96,102)( 97,151)(100,106)(101,148)
        (104,135)(105,144)(108,114)(109,157)(110,136)(113,118)(116,122)(117,158)(120,138)(121,159)(124,130)(125,139)
        (129,134)(132,142)(133,140)(137,153)(141,155)(143,149)(145,156)(147,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 83)( 34, 60)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 84)( 66, 71)( 69, 87)( 70,128)( 74,107)( 75,103)( 77, 82)( 78,126)
        ( 79,119)( 81, 86)( 85,123)( 88, 94)( 89,146)( 90,131)( 92, 98)( 93,150)( 96,102)( 97,151)(100,106)(101,148)
        (104,135)(105,144)(108,114)(109,157)(110,136)(112,118)(113,158)(117,122)(120,138)(121,159)(124,130)(125,139)
        (129,134)(132,142)(133,140)(137,153)(141,155)(143,149)(145,156)(147,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46, 97)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,127)( 71,107)( 74,111)( 77, 83)( 78,134)( 79,116)
        ( 81, 87)( 82,135)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93,119)( 94,145)( 98,103)( 99,120)(101,106)(102,154)
        (105,110)(108,123)(109,155)(112,118)(113,157)(114,128)(117,130)(121,153)(122,149)(124,129)(125,160)(126,151)
        (131,137)(132,143)(133,158)(136,140)(139,144)(142,148)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,101)( 48, 70)( 50, 56)( 51,104)( 54, 73)( 55,108)
        ( 58, 64)( 59,119)( 60, 78)( 63, 68)( 66, 81)( 67,120)( 71,100)( 72, 96)( 74, 80)( 75,135)( 76,111)( 79,115)
        ( 82, 87)( 83,142)( 84,123)( 86, 91)( 89, 95)( 90,143)( 93, 99)( 94,140)( 97,127)( 98,145)(102,107)(103,128)
        (105,110)(106,154)(109,114)(112,131)(113,155)(116,122)(117,157)(118,136)(121,126)(124,138)(125,158)(129,153)
        (130,149)(132,137)(133,160)(134,151)(139,144)(141,148)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,115)( 55, 69)
        ( 58, 63)( 61, 72)( 62,116)( 66, 92)( 67, 88)( 70,111)( 71,107)( 73, 79)( 74,132)( 75,119)( 77, 83)( 78,134)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89,123)( 90,145)( 93, 98)( 94,101)( 95,124)( 97,102)(100,106)(104,110)
        (105,125)(108,127)(109,150)(112,118)(113,157)(114,128)(117,122)(120,131)(121,158)(126,149)(129,153)(130,151)
        (133,137)(135,141)(136,159)(139,144)(140,155)(143,148)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 43)( 39, 72)( 41, 47)( 42, 92)( 45, 76)( 46, 95)( 49, 55)( 50,107)( 51, 77)( 53, 59)( 54,111)
        ( 57, 80)( 58,114)( 61, 67)( 62,122)( 63, 86)( 65, 71)( 66,126)( 69, 75)( 70,130)( 73, 91)( 74,131)( 78,103)
        ( 79, 99)( 81, 87)( 82,125)( 83,118)( 85, 90)( 93, 98)( 94,134)( 96,102)( 97,143)(100,106)(101,145)(104,110)
        (105,149)(108,113)(109,153)(112,117)(115,121)(116,154)(119,138)(120,155)(123,129)(124,139)(127,133)(128,157)
        (132,137)(135,142)(136,158)(140,160)(141,151)(144,148)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 43)( 39, 72)( 41, 47)( 42, 92)( 45, 76)( 46, 95)( 49, 55)( 50,107)( 51, 77)( 53, 59)( 54,108)
        ( 57, 80)( 58,111)( 61, 67)( 62,119)( 63, 86)( 65, 71)( 66,123)( 69, 75)( 70,127)( 73, 91)( 74,130)( 78,103)
        ( 79, 99)( 81, 87)( 82,122)( 83,115)( 85, 90)( 93, 98)( 94,134)( 96,102)( 97,135)(100,138)(101,145)(104,110)
        (105,153)(106,139)(109,114)(112,118)(113,154)(116,141)(117,155)(120,126)(121,142)(124,129)(125,157)(128,133)
        (131,137)(132,158)(136,148)(140,149)(143,160)(144,151)(146,152)(147,159)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 89)( 42, 72)( 43, 92)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,105)( 54, 76)( 55,108)
        ( 58, 64)( 59,119)( 60, 80)( 62, 67)( 63,123)( 66, 71)( 69, 84)( 70,124)( 74,100)( 75, 96)( 78, 83)( 79,112)
        ( 81,116)( 82,134)( 85, 91)( 86,145)( 87,127)( 90, 95)( 93, 99)( 94,146)( 97,130)( 98,149)(101,107)(102,157)
        (103,131)(106,111)(109,115)(110,158)(113,133)(114,159)(117,122)(118,137)(120,126)(121,144)(125,129)(128,141)
        (132,153)(135,140)(136,155)(138,143)(139,151)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 89)( 42, 72)( 43, 92)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,109)
        ( 58, 64)( 59,119)( 60, 80)( 62, 68)( 63,123)( 66, 71)( 67,126)( 70, 84)( 74,100)( 75, 96)( 78, 83)( 79,112)
        ( 81,116)( 82,134)( 85, 91)( 86,145)( 87,127)( 90, 95)( 93, 99)( 94,146)( 97,130)( 98,149)(101,107)(102,157)
        (103,131)(105,111)(106,158)(110,115)(113,133)(114,159)(117,122)(118,137)(120,125)(121,144)(124,129)(128,141)
        (132,153)(135,140)(136,155)(138,143)(139,151)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 85)( 41, 72)( 42, 88)( 45, 51)( 46, 99)( 47, 73)( 49, 55)( 50,103)( 53, 76)( 54,104)( 57, 63)
        ( 58,114)( 59, 80)( 61, 67)( 62,118)( 65, 71)( 66,121)( 69, 84)( 70,125)( 74, 96)( 75, 92)( 78, 83)( 79,107)
        ( 81,111)( 82,134)( 86, 91)( 87,126)( 89, 95)( 90,142)( 93,129)( 94,145)( 97,102)( 98,130)(100,106)(101,154)
        (105,110)(108,133)(109,155)(112,117)(113,137)(115,120)(116,158)(119,124)(122,128)(123,159)(127,141)(131,153)
        (132,149)(135,140)(136,151)(138,157)(139,147)(143,148)(144,160)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 95)( 48, 71)( 49, 99)( 52, 58)( 53,110)( 54, 72)( 56, 62)
        ( 57,114)( 60, 66)( 61,118)( 64, 75)( 65,121)( 69, 87)( 70, 83)( 73,106)( 74,102)( 77, 82)( 78,125)( 80, 86)
        ( 81,134)( 84, 90)( 85,137)( 88, 94)( 89,141)( 92, 98)( 93,145)( 96,101)( 97,146)(100,105)(103,129)(104,147)
        (107,113)(108,153)(109,130)(111,117)(112,157)(115,120)(116,158)(119,124)(122,128)(123,159)(126,133)(127,155)
        (131,149)(132,143)(135,140)(136,151)(138,144)(139,152)(142,148)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 82)
        ( 37, 67)( 38, 86)( 41, 47)( 42, 95)( 43, 68)( 45, 51)( 46, 98)( 49, 71)( 50,102)( 53, 59)( 54,113)( 55, 72)
        ( 57, 62)( 58,117)( 61, 66)( 64, 75)( 65,118)( 69, 94)( 70, 90)( 73,109)( 74,105)( 76, 81)( 77,137)( 78,121)
        ( 80, 85)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91,125)( 92,145)( 96,101)( 97,126)( 99,104)(100,154)(103,108)
        (106,129)(107,155)(110,116)(111,136)(112,130)(114,120)(115,123)(119,124)(122,133)(127,153)(128,149)(131,157)
        (132,151)(134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 78)( 31, 63)( 33, 39)( 34, 82)
        ( 37, 67)( 38, 86)( 41, 47)( 42, 98)( 43, 68)( 45, 51)( 46,101)( 49, 71)( 50,105)( 53, 58)( 54,117)( 55, 72)
        ( 57, 62)( 60, 66)( 61,118)( 64, 75)( 65,121)( 69, 94)( 70, 90)( 73,113)( 74,109)( 76, 81)( 77,125)( 79, 85)
        ( 80,126)( 83, 89)( 84,137)( 87, 93)( 88,141)( 91,129)( 92,145)( 95,100)( 96,103)( 97,130)( 99,104)(102,108)
        (106,112)(107,131)(110,133)(111,150)(114,120)(115,157)(116,134)(119,124)(122,128)(123,158)(127,140)(132,149)
        (135,153)(136,151)(138,144)(139,159)(142,148)(143,155)(146,152)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 35)( 18, 60)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 34)( 30, 79)( 33, 59)( 36, 42)
        ( 37, 86)( 38, 63)( 40, 46)( 41, 90)( 44, 67)( 45, 94)( 48, 54)( 49,106)( 50, 68)( 52, 58)( 53,109)( 56, 71)
        ( 57,113)( 61, 66)( 62, 80)( 64, 83)( 65,122)( 69,102)( 70, 98)( 72, 78)( 73,137)( 74,117)( 76, 82)( 77,141)
        ( 81,121)( 84, 89)( 85,125)( 87, 93)( 88,126)( 91, 97)( 92,145)( 95,101)( 96,149)( 99,129)(100,153)(103,108)
        (104,111)(105,130)(107,112)(110,116)(114,120)(115,131)(118,133)(119,158)(123,128)(124,142)(127,148)(132,157)
        (134,140)(135,155)(136,159)(138,144)(139,151)(143,147)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 61)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,103)( 51, 65)( 53, 59)( 54,107)( 57, 68)
        ( 58,111)( 62, 91)( 63, 84)( 66, 99)( 67, 96)( 69, 75)( 70,131)( 71,115)( 73, 79)( 74,135)( 77, 83)( 78,138)
        ( 81, 87)( 82,141)( 85,119)( 86,145)( 89, 95)( 90,120)( 93, 98)( 94,126)( 97,123)(100,106)(101,150)(102,124)
        (104,110)(105,153)(108,114)(109,157)(112,118)(113,158)(116,127)(117,159)(121,125)(122,149)(128,134)(129,147)
        (130,155)(132,137)(133,143)(136,140)(139,144)(142,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 94)( 39, 71)( 41, 46)( 44, 75)( 45, 95)( 48, 54)( 49,102)( 50, 76)( 52, 58)( 53,106)( 56, 78)
        ( 57,110)( 60, 66)( 61,122)( 62, 86)( 64, 70)( 65,123)( 68, 74)( 69,120)( 72, 90)( 73,125)( 77, 98)( 80, 85)
        ( 81,114)( 83, 89)( 84,134)( 87,118)( 88,137)( 91, 97)( 92,142)( 93,129)( 96,101)( 99,105)(100,143)(103,109)
        (104,145)(107,113)(108,149)(111,117)(112,150)(115,133)(116,153)(119,124)(121,128)(126,132)(127,138)(130,141)
        (131,157)(135,140)(136,154)(139,160)(144,148)(146,152)(147,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,116)( 61, 67)( 62, 94)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 78)( 74,119)( 76, 82)( 77,132)
        ( 80, 86)( 81,135)( 84, 90)( 85,139)( 88,123)( 89,142)( 92, 98)( 93,124)( 97,102)(100,106)(101,125)(104,127)
        (105,147)(108,114)(109,154)(110,128)(112,118)(113,158)(117,122)(120,131)(121,159)(126,146)(129,150)(130,148)
        (133,138)(134,156)(136,141)(137,152)(140,145)(143,149)(144,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 68)( 42, 72)( 43, 97)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,116)
        ( 58, 64)( 59,124)( 60, 92)( 62, 67)( 63,128)( 66, 71)( 69, 96)( 70,129)( 74,104)( 75,100)( 77, 83)( 78,135)
        ( 79,117)( 81, 87)( 82,136)( 85, 91)( 86,139)( 89, 95)( 90,142)( 93,120)( 94,146)( 98,103)( 99,126)(101,107)
        (102,122)(105,111)(106,151)(109,115)(110,154)(113,119)(114,157)(118,131)(121,127)(123,150)(125,130)(132,138)
        (133,144)(134,158)(137,141)(140,145)(143,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,127)( 63, 88)( 66, 92)( 70,107)( 71,103)( 73, 79)( 74,135)( 75,120)( 77, 83)
        ( 78,138)( 81, 87)( 82,139)( 85, 91)( 86,142)( 89,123)( 90,146)( 93, 98)( 94,128)( 97,102)(100,106)(101,129)
        (104,110)(105,125)(108,114)(109,151)(112,118)(113,154)(116,122)(117,157)(121,131)(124,130)(126,150)(132,137)
        (133,144)(134,158)(136,141)(140,145)(143,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,100)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,116)( 61, 67)( 62, 94)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 78)( 74,135)( 75,119)( 77, 82)
        ( 80, 86)( 81,136)( 84, 90)( 85,139)( 88,123)( 89,142)( 92, 98)( 93,124)( 96,102)( 97,150)(101,106)(104,127)
        (105,151)(108,114)(109,154)(110,128)(112,118)(113,158)(117,122)(120,131)(121,159)(125,153)(126,146)(129,147)
        (130,152)(132,138)(133,144)(134,156)(137,141)(140,145)(143,149)(148,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 94)( 45, 68)( 46, 98)( 49, 55)( 50,109)( 51, 69)( 53, 59)( 54,113)
        ( 57, 72)( 58,117)( 61, 67)( 62,129)( 63, 84)( 66, 88)( 70,105)( 71,102)( 74, 79)( 75,121)( 77, 83)( 78,138)
        ( 81, 87)( 82,141)( 85,125)( 86,145)( 89, 93)( 90,130)( 92, 97)( 95,101)( 96,131)( 99,104)(100,127)(103,133)
        (106,112)(107,149)(108,134)(110,116)(111,153)(114,120)(115,157)(118,124)(119,158)(122,137)(123,159)(126,132)
        (128,136)(135,146)(139,144)(140,155)(142,148)(143,151)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 94)( 45, 68)( 46, 98)( 49, 55)( 50,109)( 51, 69)( 53, 59)( 54,113)
        ( 57, 72)( 58,117)( 61, 67)( 62,129)( 63, 84)( 66, 88)( 70,105)( 71,102)( 73, 79)( 74,141)( 75,121)( 78, 83)
        ( 81, 87)( 82,142)( 85,125)( 86,145)( 89, 93)( 90,130)( 92, 97)( 95,101)( 96,131)( 99,104)(100,127)(103,133)
        (106,112)(107,149)(108,134)(110,116)(111,153)(114,120)(115,157)(118,124)(119,158)(122,137)(123,159)(126,132)
        (128,136)(135,146)(138,144)(139,151)(140,155)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 86)( 38, 43)( 39, 71)( 41, 47)( 42, 95)( 45, 74)( 46, 98)( 49, 55)( 50,109)( 51, 75)( 53, 59)( 54,113)
        ( 57, 78)( 58,117)( 61, 66)( 62,129)( 63, 90)( 65, 70)( 68, 73)( 69,130)( 72, 94)( 76,105)( 77,102)( 79, 85)
        ( 80,141)( 81,121)( 84, 89)( 87, 93)( 88,142)( 91,125)( 92,145)( 96,101)( 97,131)( 99,104)(100,127)(103,133)
        (106,112)(107,149)(108,134)(110,116)(111,153)(114,120)(115,157)(118,124)(119,158)(122,137)(123,159)(126,132)
        (128,136)(135,146)(138,144)(139,151)(140,155)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 90)( 39, 65)( 41, 47)( 42, 93)( 45, 68)( 46, 97)( 49, 55)( 50,105)( 51, 69)( 53, 59)( 54,109)
        ( 57, 71)( 58,113)( 61, 67)( 62,125)( 63, 83)( 66, 87)( 70,101)( 72, 78)( 73,133)( 74,117)( 77, 82)( 80, 86)
        ( 81,134)( 84,121)( 85,137)( 88, 92)( 89,126)( 91, 96)( 94,100)( 95,127)( 98,104)( 99,123)(102,108)(103,142)
        (106,112)(107,145)(110,116)(111,149)(114,120)(115,150)(118,129)(119,153)(122,128)(124,141)(130,136)(131,158)
        (132,154)(135,140)(138,144)(139,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 85)( 38, 43)( 39, 97)( 40, 70)( 42, 47)( 45, 73)( 46, 98)( 49, 54)( 50,109)( 51, 74)( 53, 58)( 56, 77)
        ( 57,110)( 60, 65)( 61,121)( 62, 89)( 64, 69)( 67, 72)( 68,122)( 71, 93)( 75,105)( 76,101)( 78, 84)( 79,133)
        ( 80,113)( 83, 88)( 86, 92)( 87,134)( 90,117)( 91,137)( 94,100)( 95,145)( 96,123)( 99,104)(102,125)(103,146)
        (106,112)(107,154)(108,126)(111,116)(114,129)(115,155)(118,124)(119,148)(120,141)(127,153)(128,149)(130,136)
        (131,139)(132,157)(135,140)(138,144)(142,151)(143,158)(147,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39,102)( 40, 72)( 42, 48)( 43,103)( 46, 75)( 47,106)( 50, 56)( 51,117)( 52, 76)( 54, 60)
        ( 55,121)( 58, 79)( 59,125)( 62, 68)( 63,137)( 64, 94)( 66, 71)( 67,101)( 70, 74)( 73, 98)( 77,113)( 78,110)
        ( 80, 85)( 81,129)( 83, 89)( 84,142)( 87, 93)( 88,145)( 91, 97)( 92,146)( 95,133)( 96,149)( 99,105)(100,138)
        (104,109)(107,112)(108,139)(111,135)(114,120)(115,150)(116,136)(118,124)(119,153)(122,128)(123,157)(126,132)
        (127,158)(130,141)(131,159)(134,140)(143,148)(144,155)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 55)( 29, 34)( 32, 59)( 33, 76)( 36, 42)
        ( 37, 84)( 38, 64)( 40, 46)( 41, 87)( 44, 67)( 45, 91)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,108)( 60, 66)( 61,119)( 62, 79)( 65, 83)( 69, 99)( 70, 95)( 72, 78)( 73,131)( 74,111)( 77, 82)( 80,115)
        ( 81,132)( 85, 90)( 86,120)( 88, 94)( 89,140)( 92, 98)( 93,142)( 96,123)( 97,146)(100,106)(101,154)(102,124)
        (104,110)(105,158)(109,114)(112,127)(113,159)(116,122)(117,144)(118,135)(121,139)(125,150)(126,147)(128,134)
        (129,152)(130,156)(133,138)(136,148)(137,153)(141,145)(143,149)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 64)( 23, 47)( 24, 43)( 26, 31)( 27, 79)( 28, 55)( 30, 35)( 33, 59)( 34, 80)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 88)( 44, 71)( 45, 91)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,108)( 60, 66)( 61,119)( 62, 83)( 65, 70)( 68, 87)( 69,120)( 73, 99)( 74, 95)( 76, 82)( 77,134)( 78,111)
        ( 81, 86)( 84,115)( 85,135)( 89, 94)( 90,123)( 92, 98)( 93,143)( 96,126)( 97,146)(100,106)(101,154)(102,127)
        (104,110)(105,158)(109,114)(112,130)(113,159)(116,122)(117,145)(118,138)(121,125)(124,142)(128,150)(129,147)
        (131,137)(132,152)(133,156)(136,141)(139,148)(140,153)(144,149)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,115)
        ( 58, 64)( 59, 87)( 60, 80)( 62, 67)( 63, 70)( 66, 71)( 69, 84)( 74,103)( 75,100)( 78, 83)( 79,119)( 81,123)
        ( 82,131)( 85, 91)( 86,124)( 89, 95)( 90,138)( 93, 99)( 94,141)( 97,102)( 98,145)(101,127)(104,110)(105,149)
        (106,128)(108,114)(109,153)(112,118)(113,157)(116,122)(117,158)(120,130)(121,159)(125,140)(126,134)(129,146)
        (132,137)(133,155)(135,143)(136,151)(139,144)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 76)( 34, 40)( 35, 87)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 75)( 55,111)
        ( 58, 64)( 59, 86)( 60, 79)( 62, 67)( 63, 70)( 66, 71)( 69, 83)( 74, 99)( 77, 82)( 78,115)( 80,119)( 81,124)
        ( 84, 90)( 85,120)( 88, 94)( 89,131)( 92, 98)( 93,134)( 96,102)( 97,138)(100,106)(101,142)(104,110)(105,145)
        (108,114)(109,149)(112,118)(113,150)(116,123)(117,153)(121,133)(122,127)(125,130)(126,154)(128,136)(129,158)
        (132,137)(135,141)(139,144)(140,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 76)( 34, 39)( 35, 87)
        ( 36, 68)( 38, 43)( 41, 72)( 42, 88)( 45, 51)( 46, 95)( 47, 73)( 49, 55)( 50, 99)( 53, 75)( 54,103)( 57, 63)
        ( 58,115)( 59, 79)( 61, 67)( 62,118)( 65, 71)( 66,119)( 69, 83)( 70,122)( 74, 91)( 77, 82)( 78,107)( 80,111)
        ( 81,131)( 84, 90)( 85,141)( 86,126)( 89, 94)( 92, 98)( 93,142)( 96,102)( 97,145)(100,106)(101,149)(104,110)
        (105,150)(108,130)(109,153)(112,117)(113,124)(114,134)(116,121)(120,125)(123,129)(127,138)(128,135)(132,137)
        (133,154)(136,160)(139,144)(140,157)(143,148)(146,152)(147,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 78)( 31, 62)( 33, 39)( 34, 82)
        ( 37, 66)( 38, 83)( 41, 46)( 42, 67)( 44, 50)( 45, 91)( 48, 70)( 49, 94)( 52, 58)( 53,106)( 54, 71)( 56, 61)
        ( 57,110)( 60, 65)( 63, 74)( 64,111)( 68, 90)( 69, 86)( 72,102)( 73, 98)( 75, 81)( 76,129)( 77,114)( 79, 85)
        ( 80,133)( 84, 89)( 87,118)( 88,134)( 92, 97)( 93,119)( 95,101)( 96,142)( 99,122)(100,145)(103,109)(104,153)
        (105,123)(107,113)(108,154)(112,117)(115,126)(116,155)(120,141)(121,137)(124,149)(125,146)(127,132)(128,151)
        (130,136)(131,159)(135,140)(138,144)(139,160)(143,148)(147,157)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 76)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 90)( 39, 64)( 41, 47)( 42, 94)( 45, 67)( 46, 98)( 49, 54)( 50, 68)( 52, 58)( 53,106)( 56, 71)
        ( 57,109)( 60, 66)( 61,121)( 62, 83)( 65, 87)( 69,105)( 70,101)( 72, 78)( 73,133)( 74,113)( 77, 82)( 80, 86)
        ( 81,134)( 84,117)( 85,135)( 88, 93)( 89,122)( 91, 97)( 92,138)( 95,100)( 96,141)( 99,104)(102,125)(103,142)
        (107,112)(108,126)(110,116)(111,150)(114,129)(115,151)(118,124)(119,157)(120,131)(123,137)(127,149)(128,145)
        (130,136)(132,153)(139,144)(140,158)(143,148)(146,155)(147,159)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,117)( 61, 67)( 62,128)( 63, 84)( 66, 88)( 70,108)( 71,104)( 73, 79)( 74,140)( 75,120)( 78, 83)
        ( 81, 87)( 82,141)( 85,124)( 86,138)( 89, 95)( 90,151)( 91,129)( 93, 99)( 94,155)( 97,103)( 98,156)(101,107)
        (102,153)(105,132)(106,149)(109,115)(110,144)(111,133)(113,119)(114,158)(118,123)(121,136)(122,159)(125,131)
        (126,134)(127,143)(130,147)(135,150)(137,142)(139,146)(145,160)(148,154)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 87)( 41, 47)( 42, 97)( 43, 68)( 45, 51)( 46,101)( 49, 71)( 50,105)( 53, 58)( 54,117)( 55, 72)
        ( 57, 62)( 60, 66)( 61,118)( 64, 75)( 65,121)( 69, 93)( 70, 90)( 73,113)( 74,109)( 76, 82)( 77,137)( 78,122)
        ( 80, 86)( 81,141)( 84, 89)( 85,128)( 88, 92)( 91,125)( 94,100)( 95,145)( 96,126)( 98,104)( 99,149)(102,108)
        (103,153)(106,112)(107,154)(110,129)(111,155)(114,120)(115,136)(116,130)(119,124)(123,133)(127,142)(131,157)
        (132,151)(134,140)(135,158)(138,144)(139,159)(143,148)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 87)( 41, 47)( 42, 97)( 43, 68)( 45, 51)( 46,101)( 49, 71)( 50,105)( 53, 59)( 54,117)( 55, 72)
        ( 57, 63)( 58,118)( 61, 66)( 62,121)( 65, 75)( 69, 93)( 70, 90)( 73,113)( 74,109)( 76, 82)( 77,137)( 78,122)
        ( 80, 86)( 81,141)( 84, 89)( 85,128)( 88, 92)( 91,125)( 94,100)( 95,145)( 96,126)( 98,104)( 99,149)(102,108)
        (103,153)(106,112)(107,154)(110,129)(111,155)(114,120)(115,136)(116,130)(119,124)(123,133)(127,142)(131,157)
        (132,151)(134,140)(135,158)(138,144)(139,159)(143,148)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 61)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,100)( 53, 59)( 54,111)( 55, 69)
        ( 57, 63)( 58,115)( 62, 72)( 66, 91)( 67, 87)( 70,107)( 71,103)( 73, 79)( 74,130)( 75,116)( 77, 83)( 78,134)
        ( 81, 86)( 82,138)( 85, 90)( 88,119)( 89,139)( 92, 98)( 93,146)( 94,120)( 96,102)( 97,150)(101,106)(104,123)
        (105,151)(108,114)(109,157)(110,124)(112,118)(113,158)(117,127)(121,142)(122,140)(125,153)(126,148)(128,133)
        (129,159)(131,137)(132,155)(135,141)(136,145)(143,149)(144,156)(147,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 58)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 78)( 31, 62)( 33, 39)( 34, 82)
        ( 37, 66)( 38, 86)( 41, 46)( 42, 67)( 44, 50)( 45, 94)( 48, 70)( 49, 97)( 52, 57)( 53,109)( 54, 71)( 56, 61)
        ( 59, 65)( 60,110)( 63, 74)( 64,113)( 68, 93)( 69, 89)( 72,105)( 73,101)( 75, 81)( 76,129)( 77,114)( 79, 85)
        ( 80,133)( 83, 88)( 84,137)( 87, 92)( 90,117)( 91,138)( 95,100)( 96,118)( 98,104)( 99,146)(102,121)(103,147)
        (106,112)(107,128)(108,122)(111,116)(115,125)(119,145)(120,141)(123,153)(124,149)(126,132)(127,154)(130,136)
        (131,155)(134,140)(135,159)(139,144)(142,151)(143,160)(148,152)(150,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 78)( 31, 63)( 33, 39)( 34, 82)
        ( 37, 66)( 38, 86)( 41, 46)( 42, 67)( 44, 50)( 45, 94)( 48, 70)( 49, 97)( 52, 58)( 53,109)( 54, 71)( 56, 62)
        ( 57,110)( 60, 65)( 61,113)( 64, 74)( 68, 93)( 69, 89)( 72,105)( 73,101)( 75, 81)( 76,129)( 77,114)( 79, 85)
        ( 80,133)( 83, 88)( 84,137)( 87, 92)( 90,117)( 91,138)( 95,100)( 96,118)( 98,104)( 99,146)(102,121)(103,147)
        (106,112)(107,128)(108,122)(111,116)(115,125)(119,145)(120,141)(123,153)(124,149)(126,132)(127,154)(130,136)
        (131,155)(134,140)(135,159)(139,144)(142,151)(143,160)(148,152)(150,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 35)( 22, 47)( 23, 43)( 25, 31)( 26, 73)( 27, 54)( 29, 34)( 30, 77)( 33, 58)( 36, 42)
        ( 37, 85)( 38, 63)( 40, 46)( 41, 89)( 44, 66)( 45, 93)( 48, 53)( 49,105)( 50, 67)( 52, 57)( 55, 70)( 56,106)
        ( 59, 65)( 60,117)( 61, 78)( 64, 81)( 68,101)( 69, 97)( 71, 76)( 72,109)( 74, 80)( 75,126)( 79,113)( 82, 88)
        ( 83,133)( 84,118)( 86, 92)( 87,134)( 90, 96)( 91,137)( 94,100)( 95,138)( 98,121)( 99,141)(102,108)(103,150)
        (104,122)(107,112)(110,125)(111,151)(114,120)(115,157)(116,127)(119,129)(123,149)(124,145)(128,153)(130,136)
        (131,143)(132,158)(135,140)(139,144)(142,148)(146,155)(147,159)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 75)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 94)( 43, 65)( 45, 51)( 46, 98)( 49, 68)( 50,102)( 53, 59)( 54,114)( 55, 69)
        ( 58, 63)( 61, 72)( 62,115)( 66, 90)( 67, 87)( 70,110)( 71,106)( 73, 78)( 74,118)( 76, 82)( 77,130)( 80, 86)
        ( 81,133)( 84, 89)( 85,137)( 88,122)( 91, 97)( 92,141)( 93,123)( 95,101)( 96,145)( 99,105)(100,149)(103,109)
        (104,150)(107,125)(108,151)(111,117)(112,157)(113,126)(116,121)(119,129)(120,158)(124,138)(127,153)(128,147)
        (131,136)(132,159)(134,140)(135,155)(139,144)(142,148)(143,156)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 87)
        ( 36, 68)( 38, 44)( 39, 90)( 42, 72)( 43, 94)( 46, 52)( 47,105)( 48, 73)( 50, 56)( 51,109)( 54, 76)( 55,113)
        ( 58, 64)( 59,125)( 60, 80)( 62, 67)( 63,129)( 66, 71)( 69, 84)( 70,130)( 74,101)( 75, 98)( 78, 83)( 79,117)
        ( 81,121)( 82,142)( 85, 89)( 86,133)( 88, 93)( 91, 97)( 92,134)( 95,100)( 96,149)( 99,137)(102,108)(103,146)
        (104,138)(106,112)(107,153)(110,116)(111,157)(114,120)(115,158)(118,141)(119,159)(122,128)(123,139)(124,145)
        (126,132)(127,151)(131,136)(135,152)(140,150)(143,148)(144,155)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 58)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 62)( 32, 38)( 33, 75)( 36, 66)
        ( 37, 78)( 40, 46)( 41, 90)( 42, 67)( 44, 50)( 45, 94)( 48, 70)( 49, 95)( 52, 57)( 53,106)( 54, 71)( 56, 61)
        ( 59, 65)( 60,107)( 63, 74)( 64,110)( 68, 86)( 69, 82)( 72,102)( 73, 98)( 76, 81)( 77,114)( 79, 85)( 80,127)
        ( 83,118)( 84,130)( 87, 93)( 88,138)( 89,119)( 91, 97)( 92,142)( 96,101)( 99,122)(100,143)(103,109)(104,149)
        (105,123)(108,113)(111,117)(112,150)(115,126)(116,153)(120,134)(121,131)(124,145)(125,140)(128,133)(129,154)
        (132,157)(135,141)(136,148)(137,158)(139,144)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 42)( 11, 20)( 13, 18)( 14, 54)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 50)( 26, 46)( 28, 34)( 29, 70)( 30, 55)( 32, 38)( 33, 73)( 36, 58)
        ( 37, 77)( 40, 45)( 41, 59)( 43, 49)( 44, 86)( 47, 62)( 48, 89)( 51, 57)( 52,101)( 53, 63)( 56, 66)( 60, 85)
        ( 61, 81)( 64, 97)( 65, 93)( 67, 72)( 68,117)( 69,102)( 71, 76)( 74, 80)( 75,118)( 78, 84)( 79,121)( 82,105)
        ( 83,125)( 87, 92)( 88,106)( 90, 96)( 91,134)( 94,109)( 95,135)( 98,104)( 99,145)(100,110)(103,113)(107,133)
        (108,129)(111,141)(112,137)(114,120)(115,154)(116,146)(119,124)(122,128)(123,155)(126,132)(127,157)(130,139)
        (131,152)(136,140)(138,149)(142,148)(143,159)(144,150)(147,153)(151,158)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 54)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 50)( 26, 46)( 28, 34)( 29, 70)( 30, 55)( 32, 38)( 33, 73)( 36, 58)
        ( 37, 77)( 40, 45)( 41, 89)( 42, 59)( 44, 49)( 47, 62)( 48, 90)( 51, 57)( 52,101)( 53, 63)( 56, 66)( 60, 85)
        ( 61, 81)( 64, 97)( 65, 93)( 67, 72)( 68,117)( 69,102)( 71, 76)( 74, 80)( 75,118)( 78, 84)( 79,121)( 82,105)
        ( 83,125)( 86, 92)( 87,134)( 88,106)( 91, 96)( 94,109)( 95,135)( 98,104)( 99,145)(100,110)(103,113)(107,133)
        (108,129)(111,141)(112,137)(114,120)(115,154)(116,146)(119,124)(122,128)(123,155)(126,132)(127,157)(130,139)
        (131,152)(136,140)(138,149)(142,148)(143,159)(144,150)(147,153)(151,158)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 49)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 45)( 20, 41)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 71)( 30, 56)( 31, 75)( 34, 40)( 35, 86)
        ( 36, 57)( 38, 44)( 39, 90)( 42, 60)( 43, 91)( 46, 51)( 47,102)( 48, 61)( 50, 55)( 53, 64)( 54,103)( 58, 82)
        ( 59, 79)( 62, 98)( 63, 94)( 65, 70)( 66,122)( 67,106)( 69, 74)( 72, 78)( 73,123)( 76, 81)( 77,126)( 80,110)
        ( 83, 89)( 84,133)( 85,111)( 87, 93)( 88,137)( 92, 97)( 95,114)( 96,138)( 99,105)(100,146)(101,115)(104,109)
        (107,118)(108,147)(112,130)(113,127)(116,145)(117,141)(119,125)(120,156)(121,149)(124,129)(128,153)(131,136)
        (132,154)(134,140)(135,159)(139,144)(142,151)(143,160)(148,152)(150,157)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 33)(  8, 14)( 10, 21)( 11, 45)( 12, 18)( 15, 29)
        ( 16, 26)( 19, 41)( 20, 37)( 22, 28)( 23, 65)( 24, 49)( 27, 53)( 30, 36)( 31, 73)( 32, 54)( 34, 40)( 35, 77)
        ( 38, 57)( 39, 81)( 42, 48)( 43, 92)( 44, 58)( 46, 52)( 47, 96)( 50, 61)( 51,100)( 55, 69)( 56, 66)( 59, 88)
        ( 60, 85)( 62, 68)( 63,119)( 64,104)( 67,108)( 70, 76)( 71,126)( 72,109)( 74, 80)( 75,129)( 78, 84)( 79,133)
        ( 82, 87)( 83,137)( 86,112)( 89, 95)( 90,141)( 91,113)( 93, 99)( 94,145)( 97,103)( 98,149)(101,107)(102,150)
        (105,115)(106,151)(110,123)(111,120)(114,138)(116,122)(117,157)(118,147)(121,153)(124,128)(125,154)(127,132)
        (130,136)(131,155)(134,140)(135,159)(139,144)(142,148)(143,160)(146,152)(156,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 89)( 45, 51)( 46, 96)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,112)( 59, 84)( 62, 88)( 66, 92)( 67, 90)( 69, 75)( 70,119)( 71,108)( 73, 79)( 74,122)( 77, 83)( 78,126)
        ( 81, 87)( 82,130)( 85, 94)( 86,134)( 91,113)( 93, 99)( 95,114)( 97,103)( 98,135)(101,107)(102,138)(105,111)
        (106,142)(109,115)(110,146)(116,121)(117,157)(118,149)(120,125)(123,129)(124,158)(127,133)(128,159)(131,137)
        (132,155)(136,141)(139,145)(140,156)(143,148)(144,151)(147,152)(150,153)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 37)( 11, 21)( 13, 19)( 14, 48)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 36)( 23, 32)( 26, 44)( 27, 40)( 30, 35)( 31, 55)( 33, 59)( 34, 68)( 38, 43)
        ( 39, 60)( 41, 63)( 42, 76)( 45, 51)( 46, 87)( 47, 64)( 49, 54)( 50, 91)( 53, 58)( 56, 67)( 57, 92)( 61, 75)
        ( 62, 71)( 65, 83)( 66, 79)( 69, 74)( 70, 95)( 72, 99)( 73,108)( 77, 82)( 78,100)( 80,103)( 81,116)( 84, 90)
        ( 85,127)( 86,104)( 88, 94)( 89,131)( 93, 98)( 96,107)( 97,132)(101,115)(102,111)(105,123)(106,119)(109,114)
        (110,135)(112,139)(113,147)(117,122)(118,140)(120,142)(121,151)(124,130)(125,157)(126,143)(128,134)(129,158)
        (133,138)(136,146)(137,159)(141,150)(144,154)(145,152)(148,153)(149,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 37)( 11, 21)( 13, 19)( 14, 48)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 36)( 23, 32)( 26, 44)( 27, 40)( 30, 35)( 31, 55)( 33, 59)( 34, 68)( 38, 43)
        ( 39, 60)( 41, 63)( 42, 76)( 45, 51)( 46, 87)( 47, 64)( 49, 54)( 50, 91)( 53, 58)( 56, 67)( 57, 92)( 61, 75)
        ( 62, 71)( 65, 83)( 66, 79)( 69, 74)( 70, 95)( 72, 99)( 73,108)( 77, 82)( 78,100)( 80,103)( 81,116)( 84, 90)
        ( 85,127)( 86,104)( 88, 94)( 89,131)( 93, 98)( 96,107)( 97,132)(101,115)(102,111)(105,123)(106,119)(109,114)
        (110,135)(112,139)(113,148)(117,122)(118,140)(120,143)(121,141)(124,130)(125,155)(126,144)(128,134)(129,158)
        (133,138)(136,147)(137,159)(142,151)(145,154)(146,152)(149,153)(150,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 40)( 11, 20)( 13, 18)( 14, 51)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 67)( 30, 52)( 32, 38)( 33, 68)( 36, 55)
        ( 37, 71)( 41, 46)( 42, 56)( 44, 59)( 45, 80)( 48, 54)( 49, 91)( 50, 60)( 53, 63)( 57, 79)( 58, 75)( 61, 87)
        ( 62, 83)( 64, 70)( 65,107)( 66, 92)( 69, 74)( 72, 78)( 73,108)( 76, 95)( 77,111)( 81, 86)( 82, 96)( 84, 99)
        ( 85,120)( 88, 94)( 89,131)( 90,100)( 93,103)( 97,119)( 98,115)(101,127)(102,123)(104,110)(105,145)(106,132)
        (109,114)(112,118)(113,146)(116,135)(117,149)(121,126)(122,136)(124,138)(125,154)(128,134)(129,158)(130,139)
        (133,142)(137,153)(140,157)(141,155)(143,148)(144,159)(147,152)(150,156)(151,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 55)( 16, 31)( 18, 35)( 22, 43)( 23, 39)( 25, 30)( 26, 48)( 28, 34)( 29, 64)( 32, 51)( 33, 67)( 37, 42)
        ( 38, 56)( 40, 59)( 41, 76)( 44, 50)( 45, 87)( 46, 60)( 49, 63)( 52, 58)( 53, 95)( 54, 71)( 57, 75)( 61, 83)
        ( 62, 79)( 65, 70)( 66, 88)( 68, 74)( 69,104)( 72, 91)( 73,107)( 77, 82)( 78, 96)( 80, 99)( 81,116)( 84, 90)
        ( 85,127)( 86,100)( 89,103)( 92, 98)( 93,135)( 94,111)( 97,115)(101,123)(102,119)(105,110)(106,128)(108,114)
        (109,144)(112,131)(113,147)(117,122)(118,136)(120,139)(121,155)(124,130)(125,158)(126,140)(129,143)(132,138)
        (133,157)(134,150)(137,154)(141,151)(142,156)(145,149)(146,159)(148,153)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 93)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,136)( 73, 92)( 74,137)( 78,108)
        ( 79,104)( 81, 87)( 82,147)( 83,123)( 86, 91)( 89,127)( 90,148)( 94, 99)( 95,133)( 97,103)( 98,129)(101,107)
        (102,152)(105,139)(106,146)(109,114)(110,158)(111,140)(113,118)(116,122)(117,159)(120,126)(121,157)(124,143)
        (125,142)(128,134)(130,151)(132,138)(141,155)(144,150)(145,153)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,100)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,140)( 74, 96)( 75,141)
        ( 79,112)( 80,108)( 83, 88)( 84,127)( 86, 92)( 87,148)( 90, 95)( 91,151)( 94,131)( 98,103)( 99,137)(101,107)
        (102,133)(105,111)(106,153)(109,143)(110,150)(113,118)(114,158)(115,144)(117,122)(120,126)(121,159)(124,130)
        (125,157)(128,147)(129,146)(132,138)(134,152)(136,142)(145,155)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,100)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,140)( 74, 96)( 75,141)
        ( 79,112)( 80,108)( 82, 87)( 83,127)( 85, 91)( 86,148)( 89, 95)( 90,151)( 94,131)( 98,103)( 99,137)(101,107)
        (102,133)(105,111)(106,153)(109,143)(110,150)(113,118)(114,158)(115,144)(117,122)(120,126)(121,159)(124,130)
        (125,157)(128,147)(129,146)(132,138)(134,152)(136,142)(145,155)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 81)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 85)( 71,136)( 75,104)( 76,100)( 79, 84)
        ( 80,119)( 82,123)( 83,148)( 86, 92)( 87,125)( 88,139)( 90, 95)( 91,152)( 94, 99)( 97,103)( 98,153)(101,143)
        (102,150)(105,110)(106,158)(107,144)(109,114)(112,118)(113,159)(116,122)(117,157)(120,147)(121,146)(124,130)
        (126,151)(128,134)(129,140)(132,138)(133,141)(137,142)(145,155)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 82)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 85)( 71,136)( 75,104)( 76,100)( 78, 84)
        ( 79,151)( 80,119)( 83,123)( 86, 92)( 87,125)( 88,139)( 90, 96)( 91,153)( 94, 99)( 95,149)( 98,103)(101,143)
        (102,150)(105,110)(106,158)(107,144)(109,114)(112,118)(113,159)(116,122)(117,157)(120,147)(121,146)(124,130)
        (126,152)(128,134)(129,140)(132,138)(133,141)(137,142)(145,155)(148,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 89)( 39, 72)( 41, 47)( 42, 92)( 45, 76)( 46, 96)( 49, 55)( 50,108)( 51, 77)( 53, 59)( 54,111)
        ( 57, 80)( 58,115)( 61, 67)( 62,123)( 63, 86)( 65, 71)( 66,127)( 69, 75)( 70,131)( 73, 88)( 74,135)( 78,104)
        ( 79,100)( 81, 87)( 82,126)( 83,119)( 90, 95)( 91,136)( 93, 99)( 94,148)( 97,103)( 98,151)(101,139)(102,146)
        (105,110)(106,158)(107,140)(109,114)(112,118)(113,159)(116,122)(117,157)(120,143)(121,142)(124,130)(125,144)
        (128,134)(129,153)(132,138)(133,150)(137,147)(141,155)(145,152)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 85)( 34, 60)
        ( 37, 43)( 38, 89)( 39, 72)( 41, 47)( 42, 92)( 45, 76)( 46, 96)( 49, 55)( 50,108)( 51, 77)( 53, 59)( 54,111)
        ( 57, 80)( 58,115)( 61, 67)( 62,123)( 63, 86)( 65, 71)( 66,127)( 69, 75)( 70,131)( 73, 88)( 74,135)( 78,104)
        ( 79,100)( 81, 87)( 82,126)( 83,119)( 90, 95)( 91,136)( 93, 99)( 94,148)( 97,103)( 98,151)(101,139)(102,146)
        (105,110)(106,158)(107,140)(109,114)(112,118)(113,159)(116,122)(117,157)(120,143)(121,142)(124,130)(125,144)
        (128,134)(129,153)(132,138)(133,150)(137,147)(141,155)(145,152)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,118)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,110)( 73,114)( 74,126)( 77, 83)( 78,134)( 79,119)
        ( 81, 87)( 82,137)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93,122)( 94,145)( 97,102)( 98,153)( 99,123)(101,106)
        (104,109)(105,154)(108,113)(111,125)(112,155)(115,121)(116,158)(117,129)(120,133)(124,149)(127,132)(128,151)
        (130,157)(131,147)(135,140)(136,159)(139,144)(142,148)(143,160)(146,152)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 80)( 28, 56)( 30, 35)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 88)( 39, 69)( 41, 47)( 42, 92)( 45, 72)( 46, 96)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,122)( 63, 82)( 65, 71)( 66,126)( 70, 84)( 74,104)( 75,100)( 77, 83)( 78,125)
        ( 79,118)( 85, 91)( 86,141)( 87,127)( 89, 95)( 90,142)( 93, 99)( 94,145)( 97,103)( 98,146)(101,130)(102,149)
        (105,110)(106,157)(107,131)(109,114)(112,117)(113,158)(116,121)(119,133)(120,159)(123,129)(124,134)(128,137)
        (132,153)(135,140)(136,155)(138,144)(139,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 81)( 34, 60)
        ( 37, 43)( 38, 88)( 39, 69)( 41, 47)( 42, 92)( 45, 72)( 46, 96)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,122)( 63, 82)( 65, 71)( 66,126)( 70, 84)( 74,104)( 75,100)( 77, 83)( 78,125)
        ( 79,118)( 85, 91)( 86,141)( 87,127)( 89, 95)( 90,142)( 93, 99)( 94,145)( 97,103)( 98,146)(101,130)(102,149)
        (105,110)(106,157)(107,131)(109,114)(112,117)(113,158)(116,121)(119,133)(120,159)(123,129)(124,134)(128,137)
        (132,153)(135,140)(136,155)(138,144)(139,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 51)( 29, 35)( 30, 76)( 33, 55)( 34, 79)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 50)( 46, 72)( 48, 54)( 49, 96)( 52, 75)( 53, 99)( 56, 62)( 57,111)
        ( 58, 83)( 60, 66)( 61,112)( 64, 70)( 65,115)( 68, 87)( 69,119)( 73, 95)( 74, 91)( 77, 82)( 78,103)( 80, 86)
        ( 81,128)( 84,107)( 85,131)( 89, 94)( 90,120)( 92,123)( 93,136)( 97,102)( 98,124)(100,106)(101,144)(104,127)
        (105,146)(108,114)(109,157)(110,132)(113,118)(116,122)(117,158)(121,135)(125,143)(126,139)(129,134)(130,150)
        (133,153)(137,142)(138,159)(140,148)(141,155)(145,149)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 25)( 17, 28)( 18, 55)( 22, 36)( 23, 32)( 26, 47)( 27, 43)( 30, 35)( 31, 59)( 33, 63)( 34, 72)( 37, 42)
        ( 38, 64)( 40, 46)( 41, 80)( 44, 67)( 45, 83)( 48, 54)( 49, 95)( 50, 68)( 52, 58)( 53, 99)( 56, 62)( 57,100)
        ( 60, 71)( 61,103)( 65, 79)( 66, 75)( 69, 91)( 70, 87)( 73, 78)( 74,107)( 76,111)( 77,120)( 81, 86)( 82,112)
        ( 84, 90)( 85,128)( 88,115)( 89,130)( 92, 98)( 93,141)( 94,116)( 96,102)( 97,145)(101,106)(104,110)(105,146)
        (108,119)(109,149)(113,127)(114,123)(117,137)(118,134)(121,126)(122,153)(124,132)(125,160)(129,133)(131,136)
        (135,157)(138,144)(139,155)(140,158)(142,148)(143,151)(147,152)(150,156)(154,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 66)( 42, 69)( 43, 93)( 46, 52)( 47,100)( 48, 70)( 50, 56)( 51,104)( 54, 72)( 55,108)
        ( 58, 64)( 59,119)( 60, 88)( 62, 68)( 63,120)( 67, 92)( 71, 96)( 73, 79)( 74,126)( 75,112)( 77, 83)( 78,130)
        ( 81, 87)( 82,131)( 85, 91)( 86,134)( 89,115)( 90,138)( 94, 99)( 95,121)( 97,103)( 98,117)(101,107)(102,143)
        (105,111)(106,146)(109,114)(110,150)(113,123)(116,122)(118,142)(124,129)(125,151)(127,133)(128,155)(132,137)
        (135,141)(136,156)(139,145)(140,158)(144,149)(147,153)(148,159)(152,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 60)( 23, 44)( 24, 40)( 26, 31)( 27, 51)( 29, 35)( 30, 72)( 33, 55)( 34, 75)
        ( 38, 43)( 39, 63)( 41, 67)( 42, 84)( 45, 50)( 46, 95)( 47, 68)( 49, 54)( 52, 71)( 53, 96)( 56, 62)( 57,107)
        ( 58, 79)( 61, 66)( 64, 83)( 65,108)( 69, 91)( 70, 87)( 73, 78)( 74, 99)( 76, 82)( 77,120)( 80,103)( 81,123)
        ( 85, 90)( 86,111)( 88,115)( 89,132)( 92, 98)( 93,142)( 94,116)( 97,102)(100,119)(101,143)(104,110)(105,153)
        (106,127)(109,114)(112,131)(113,154)(117,138)(118,135)(121,126)(122,146)(124,130)(125,158)(128,149)(129,159)
        (133,137)(134,155)(136,151)(139,145)(140,160)(141,152)(144,148)(147,157)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 72)( 33, 55)( 34, 75)
        ( 38, 43)( 39, 64)( 41, 67)( 42, 84)( 45, 51)( 46, 95)( 47, 68)( 49, 54)( 50, 99)( 53, 71)( 56, 62)( 57,107)
        ( 58, 79)( 60, 66)( 61,111)( 65, 83)( 69, 91)( 70, 87)( 73, 78)( 74,100)( 76, 82)( 77,120)( 80,103)( 81,123)
        ( 85, 90)( 86,112)( 88,115)( 89,132)( 92, 98)( 93,142)( 94,116)( 96,102)( 97,145)(101,119)(104,110)(105,153)
        (106,127)(108,114)(109,154)(113,131)(117,138)(118,135)(121,126)(122,146)(124,130)(125,158)(128,149)(129,159)
        (133,137)(134,155)(136,151)(139,144)(140,160)(141,152)(143,148)(147,157)(150,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,120)( 61, 67)( 62,132)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,124)( 77, 83)( 78,140)
        ( 81, 87)( 82,143)( 85,128)( 86,147)( 89, 95)( 90,130)( 91,133)( 93, 99)( 94,152)( 97,103)( 98,149)(101,107)
        (102,145)(105,135)(106,142)(109,115)(110,155)(111,136)(113,119)(114,158)(117,123)(118,159)(121,127)(122,157)
        (125,139)(126,138)(129,134)(131,151)(137,154)(141,146)(144,150)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,120)( 61, 67)( 62,131)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,124)( 77, 83)( 78,139)
        ( 81, 87)( 82,142)( 85,128)( 86,146)( 89, 95)( 90,151)( 91,132)( 93, 99)( 94,152)( 97,103)( 98,148)(101,107)
        (102,144)(105,134)(106,141)(109,115)(110,157)(111,135)(113,119)(114,158)(117,123)(118,159)(121,127)(122,156)
        (125,138)(126,137)(129,133)(130,150)(136,154)(140,145)(143,149)(147,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,130)( 63, 84)( 66, 88)( 70,107)( 71,103)( 74, 79)( 75,123)( 77, 83)( 78,139)
        ( 81, 87)( 82,142)( 85,127)( 86,146)( 89, 94)( 90,131)( 92, 98)( 93,152)( 96,102)( 97,148)(100,106)(101,144)
        (104,134)(105,141)(108,114)(109,158)(110,135)(112,118)(113,159)(116,122)(117,156)(120,126)(121,157)(124,138)
        (125,137)(128,133)(129,150)(132,151)(136,154)(140,145)(143,149)(147,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,122)( 61, 67)( 62,134)( 63, 87)( 65, 70)( 66,138)( 69, 74)( 72, 91)( 73,139)( 77,110)( 78,106)
        ( 81, 86)( 82,126)( 84, 90)( 85,147)( 88,130)( 89,150)( 92, 97)( 93,140)( 95,101)( 96,136)( 99,105)(100,132)
        (103,109)(104,152)(107,142)(108,149)(111,117)(112,155)(113,143)(115,121)(116,158)(119,125)(120,159)(123,129)
        (124,157)(127,146)(128,145)(131,137)(133,151)(135,141)(144,154)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 87)( 34, 60)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,122)( 61, 67)( 62,134)( 63, 88)( 65, 70)( 66,138)( 69, 74)( 72, 91)( 73,139)( 77,110)( 78,106)
        ( 80, 86)( 81,147)( 82,126)( 84, 90)( 85,150)( 89,130)( 92, 97)( 93,140)( 95,101)( 96,136)( 99,105)(100,132)
        (103,109)(104,152)(107,142)(108,149)(111,117)(112,155)(113,143)(115,121)(116,158)(119,125)(120,159)(123,129)
        (124,157)(127,146)(128,145)(131,137)(133,151)(135,141)(144,154)(148,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 94)( 39, 72)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,122)( 61, 67)( 62,134)( 63, 87)( 65, 71)( 66,138)( 69, 74)( 70,139)( 73, 91)( 77,110)( 78,106)
        ( 81, 86)( 82,126)( 84, 90)( 85,147)( 88,130)( 89,150)( 92, 97)( 93,140)( 95,101)( 96,136)( 99,105)(100,132)
        (103,109)(104,152)(107,142)(108,149)(111,117)(112,157)(113,143)(115,121)(116,158)(119,125)(120,159)(123,129)
        (124,156)(127,146)(128,145)(131,137)(133,151)(135,141)(144,154)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 87)( 34, 60)
        ( 37, 43)( 38, 94)( 39, 72)( 41, 47)( 42, 98)( 45, 75)( 46,102)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,122)( 61, 67)( 62,134)( 63, 88)( 65, 71)( 66,138)( 69, 74)( 70,139)( 73, 91)( 77,110)( 78,106)
        ( 80, 86)( 81,147)( 82,126)( 84, 90)( 85,150)( 89,130)( 92, 97)( 93,140)( 95,101)( 96,136)( 99,105)(100,132)
        (103,109)(104,152)(107,142)(108,149)(111,117)(112,157)(113,143)(115,121)(116,158)(119,125)(120,159)(123,129)
        (124,156)(127,146)(128,145)(131,137)(133,151)(135,141)(144,154)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 72)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,119)
        ( 57, 79)( 58,123)( 61, 67)( 62,135)( 63, 87)( 65, 71)( 66,139)( 69, 74)( 70, 94)( 73, 91)( 77,111)( 78,107)
        ( 81, 86)( 82,127)( 84, 90)( 85,147)( 88,131)( 89,150)( 92, 98)( 93,140)( 96,102)( 97,137)(100,106)(101,133)
        (104,110)(105,152)(108,142)(109,149)(112,118)(113,158)(114,143)(116,122)(117,159)(120,126)(121,156)(124,130)
        (125,157)(128,146)(129,145)(132,138)(134,151)(136,141)(144,154)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 85)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 73)( 43, 92)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,120)( 60, 82)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 84)( 71,132)( 75,100)( 76, 96)( 78, 83)
        ( 79,123)( 80,116)( 86, 91)( 87,135)( 89, 95)( 90,147)( 93, 99)( 94,150)( 97,138)( 98,145)(101,107)(102,157)
        (103,139)(105,111)(106,158)(109,115)(110,159)(113,119)(114,156)(117,142)(118,141)(121,127)(122,143)(125,131)
        (126,152)(129,134)(130,149)(133,137)(136,146)(140,154)(144,151)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 87)
        ( 36, 69)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,115)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 71)( 67,131)( 70, 83)( 74,103)( 75, 99)( 77, 82)( 78,126)
        ( 79,119)( 84, 90)( 85,147)( 86,132)( 88, 94)( 89,148)( 92, 98)( 93,145)( 96,102)( 97,150)(100,135)(101,142)
        (104,110)(105,158)(106,136)(108,114)(109,159)(112,118)(113,156)(116,122)(117,157)(120,139)(121,138)(124,130)
        (125,140)(128,134)(129,152)(133,143)(137,154)(141,151)(144,149)(146,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 87)( 41, 47)( 42, 99)( 43, 68)( 45, 51)( 46,103)( 49, 71)( 50,107)( 53, 59)( 54,119)( 55, 72)
        ( 57, 63)( 58,123)( 61, 66)( 62,127)( 65, 75)( 69, 95)( 70, 91)( 73,115)( 74,111)( 76, 82)( 77,140)( 78,128)
        ( 80, 86)( 81,142)( 84, 90)( 85,146)( 88, 94)( 89,150)( 92,131)( 93,138)( 96,102)( 97,155)( 98,132)(100,106)
        (101,158)(104,110)(105,159)(108,114)(109,157)(112,135)(113,134)(116,122)(117,152)(118,136)(120,126)(121,148)
        (124,130)(125,144)(129,139)(133,154)(137,151)(141,145)(143,149)(147,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 99)( 43, 69)( 45, 51)( 46,103)( 49, 72)( 50,107)( 53, 59)( 54,119)( 55, 73)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 76)( 66,128)( 70, 95)( 71, 91)( 74,115)( 75,111)( 77, 82)( 78,131)
        ( 80, 86)( 81,143)( 84, 90)( 85,146)( 88, 94)( 89,150)( 92,134)( 93,141)( 96,102)( 97,157)( 98,135)(100,106)
        (101,158)(104,110)(105,159)(108,114)(109,156)(112,138)(113,137)(116,122)(117,152)(118,139)(120,126)(121,148)
        (124,130)(125,145)(129,133)(132,142)(136,154)(140,151)(144,149)(147,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 95)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,111)( 56, 71)
        ( 57,112)( 60, 66)( 61,123)( 62, 87)( 65, 91)( 69,103)( 70, 99)( 72, 78)( 73,135)( 74,115)( 76, 82)( 77,139)
        ( 80, 86)( 81,140)( 84, 90)( 85,141)( 88,119)( 89,137)( 93, 98)( 94,124)( 96,102)( 97,144)(100,127)(101,146)
        (104,110)(105,155)(106,128)(108,114)(109,157)(113,118)(116,131)(117,158)(120,126)(121,148)(122,133)(125,143)
        (129,154)(130,150)(132,138)(134,152)(136,142)(145,149)(147,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 83)( 28, 55)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 42)( 38, 95)( 39, 71)( 41, 46)( 44, 75)( 45, 96)( 48, 54)( 49,107)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,115)( 60, 66)( 61,127)( 62, 87)( 64, 70)( 65,131)( 68, 74)( 69,132)( 72, 91)( 73,129)( 77,103)( 78, 99)
        ( 80, 86)( 81,138)( 82,119)( 85, 90)( 88,123)( 89,139)( 92, 98)( 93,146)( 94,125)( 97,102)(100,106)(101,147)
        (104,110)(105,150)(108,114)(109,154)(112,118)(113,158)(116,122)(117,159)(120,134)(121,156)(124,130)(126,142)
        (128,133)(135,141)(136,144)(137,152)(140,145)(143,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 79)( 28, 55)( 30, 35)( 33, 59)( 34, 80)
        ( 37, 42)( 38, 68)( 40, 46)( 41, 88)( 44, 71)( 45, 91)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,111)( 60, 66)( 61,123)( 62, 83)( 64, 70)( 65,126)( 69, 87)( 73, 99)( 74, 95)( 76, 82)( 77,134)( 78,115)
        ( 81, 86)( 84,119)( 85,135)( 89, 94)( 90,127)( 92, 98)( 93,143)( 96,102)( 97,146)(100,106)(101,150)(104,110)
        (105,154)(108,114)(109,158)(112,118)(113,159)(116,130)(117,156)(120,125)(121,145)(122,138)(124,129)(128,142)
        (131,137)(132,140)(133,152)(136,141)(139,148)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 77)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 43)( 39, 68)( 41, 47)( 42, 92)( 45, 72)( 46, 95)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,108)
        ( 57, 76)( 58,111)( 61, 67)( 62,123)( 63, 88)( 66, 71)( 69, 91)( 70,124)( 74,103)( 75, 99)( 78, 83)( 79,115)
        ( 81, 87)( 82,135)( 85, 90)( 86,138)( 89,119)( 93, 98)( 94,127)( 96,102)( 97,143)(100,130)(101,146)(104,110)
        (105,155)(106,131)(109,114)(112,118)(113,156)(116,134)(117,158)(120,126)(121,145)(122,139)(125,129)(128,142)
        (132,154)(133,150)(136,141)(137,152)(140,148)(144,149)(147,153)(151,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 68)( 41, 47)( 42, 92)( 45, 72)( 46, 95)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,108)
        ( 57, 76)( 58,111)( 61, 67)( 62,123)( 63, 88)( 66, 71)( 69, 91)( 70,124)( 74,103)( 75, 99)( 77, 82)( 78,115)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 89,119)( 93, 98)( 94,127)( 96,102)( 97,143)(100,130)(101,146)(104,110)
        (105,155)(106,131)(109,114)(112,118)(113,156)(116,134)(117,158)(120,126)(121,145)(122,139)(125,129)(128,142)
        (132,154)(133,150)(136,141)(137,152)(140,148)(144,149)(147,153)(151,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 79)( 28, 55)( 30, 35)( 33, 59)( 34, 80)
        ( 37, 42)( 38, 68)( 40, 46)( 41, 88)( 44, 71)( 45, 91)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,108)( 60, 66)( 61,119)( 62, 83)( 64, 70)( 65,122)( 69, 87)( 73, 99)( 74, 95)( 76, 82)( 77,134)( 78,111)
        ( 81, 86)( 84,115)( 85,135)( 89, 94)( 90,123)( 92, 98)( 93,143)( 96,126)( 97,146)(100,106)(101,155)(102,127)
        (104,110)(105,157)(109,114)(112,130)(113,158)(116,121)(117,145)(118,138)(120,125)(124,142)(128,154)(129,150)
        (131,137)(132,140)(133,152)(136,141)(139,148)(144,149)(147,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 69)( 41, 47)( 42, 92)( 45, 72)( 46, 95)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,112)( 61, 67)( 62,123)( 63, 88)( 65, 71)( 66,126)( 70, 91)( 74,103)( 75, 99)( 77, 82)( 78,115)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 89,119)( 93, 98)( 94,127)( 96,102)( 97,143)(100,130)(101,146)(104,110)
        (105,155)(106,131)(108,114)(109,157)(113,118)(116,134)(117,158)(120,125)(121,145)(122,139)(124,129)(128,142)
        (132,154)(133,150)(136,141)(137,152)(140,148)(144,149)(147,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,120)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,112)( 73,116)( 74,125)( 77, 83)( 78,133)( 79,121)
        ( 81, 87)( 82,135)( 85, 91)( 86,139)( 89, 95)( 90,143)( 93, 99)( 94,146)( 97,103)( 98,150)(101,107)(102,154)
        (105,111)(106,158)(109,115)(110,159)(113,124)(114,156)(117,123)(118,137)(119,128)(122,132)(126,131)(127,152)
        (129,141)(130,148)(134,138)(136,142)(140,145)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,120)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,128)( 71,112)( 74,116)( 77, 83)( 78,133)( 79,121)
        ( 81, 87)( 82,135)( 85, 91)( 86,139)( 89, 95)( 90,143)( 93, 99)( 94,147)( 97,103)( 98,150)(101,107)(102,154)
        (105,111)(106,158)(109,115)(110,159)(113,124)(114,156)(117,123)(118,137)(119,129)(122,132)(125,131)(126,145)
        (127,152)(130,141)(134,138)(136,142)(140,146)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,111)
        ( 58, 63)( 59,123)( 60, 80)( 62, 67)( 65, 71)( 66,124)( 69, 84)( 70,125)( 74,103)( 75, 99)( 78, 83)( 79,115)
        ( 81,119)( 82,132)( 85, 90)( 86,139)( 87,121)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,143)(100,127)(101,146)
        (104,110)(105,158)(106,128)(109,114)(112,118)(113,159)(116,131)(117,156)(120,126)(122,135)(129,154)(130,150)
        (133,138)(134,152)(136,142)(137,148)(141,145)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 85)( 41, 72)( 42, 88)( 45, 51)( 46, 97)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,104)( 57, 63)
        ( 58,116)( 59, 80)( 61, 67)( 62,117)( 65, 71)( 66,120)( 69, 84)( 70,123)( 74, 96)( 75, 92)( 78, 83)( 79,108)
        ( 81,112)( 82,136)( 86, 91)( 87,127)( 89, 95)( 90,144)( 93,131)( 94,146)( 98,103)( 99,132)(101,107)(102,155)
        (105,111)(106,156)(109,135)(110,158)(113,119)(114,125)(115,139)(118,122)(121,126)(124,130)(128,143)(129,140)
        (133,154)(134,150)(137,142)(138,152)(141,148)(145,149)(147,153)(151,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,111)
        ( 58, 64)( 59,123)( 60, 80)( 62, 67)( 63,124)( 66, 71)( 69, 84)( 70,125)( 74,103)( 75, 99)( 78, 83)( 79,115)
        ( 81,119)( 82,132)( 85, 90)( 86,139)( 87,121)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,143)(100,127)(101,146)
        (104,110)(105,155)(106,128)(109,114)(112,118)(113,156)(116,131)(117,158)(120,126)(122,135)(129,154)(130,150)
        (133,138)(134,152)(136,142)(137,148)(141,145)(144,149)(147,153)(151,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 85)( 41, 72)( 42, 88)( 45, 51)( 46, 97)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,104)( 57, 63)
        ( 58,116)( 59, 80)( 61, 67)( 62,119)( 65, 71)( 66,120)( 69, 84)( 70,123)( 74, 96)( 75, 92)( 78, 83)( 79,108)
        ( 81,112)( 82,136)( 86, 91)( 87,127)( 89, 95)( 90,144)( 93,131)( 94,146)( 98,103)( 99,132)(101,107)(102,155)
        (105,111)(106,157)(109,135)(110,158)(113,118)(114,125)(115,139)(117,122)(121,126)(124,130)(128,143)(129,140)
        (133,154)(134,150)(137,142)(138,152)(141,148)(145,149)(147,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,113)
        ( 58, 64)( 59, 87)( 60, 80)( 62, 67)( 63, 70)( 66, 71)( 69, 84)( 74,104)( 75,100)( 78, 83)( 79,116)( 81,120)
        ( 82,129)( 85, 91)( 86,121)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,103)( 98,143)(101,124)(102,146)(105,111)
        (106,155)(107,125)(109,115)(110,157)(114,119)(117,128)(118,158)(122,138)(123,132)(126,154)(127,150)(130,135)
        (131,152)(133,141)(134,148)(137,142)(140,145)(144,149)(147,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 35)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 34)( 30, 78)( 33, 59)( 36, 42)
        ( 37, 86)( 38, 64)( 40, 46)( 41, 90)( 44, 67)( 45, 94)( 48, 54)( 49,106)( 50, 68)( 52, 58)( 53,110)( 56, 71)
        ( 57,114)( 60, 66)( 61,126)( 62, 79)( 65, 82)( 69,102)( 70, 98)( 72, 77)( 73,125)( 74,118)( 76, 81)( 80,122)
        ( 83, 89)( 84,138)( 85,127)( 87, 93)( 88,139)( 91, 97)( 92,142)( 95,101)( 96,143)( 99,105)(100,146)(103,109)
        (104,150)(107,113)(108,154)(111,117)(112,158)(115,121)(116,159)(119,130)(120,156)(123,129)(124,131)(128,134)
        (132,137)(133,152)(135,141)(136,148)(140,145)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 83)( 34, 60)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 94)( 45, 72)( 46, 98)( 49, 55)( 50,110)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 84)( 66, 71)( 69, 87)( 70,131)( 74,106)( 75,102)( 77, 82)( 78,129)
        ( 79,122)( 81, 86)( 85,126)( 88, 93)( 89,146)( 90,134)( 92, 97)( 95,101)( 96,147)( 99,105)(100,148)(103,109)
        (104,144)(107,113)(108,150)(111,117)(112,154)(115,121)(116,158)(119,125)(120,159)(123,138)(124,156)(127,133)
        (128,139)(132,137)(135,142)(136,140)(141,152)(143,149)(145,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 82)( 42, 48)( 43, 90)( 44, 70)( 46, 52)( 47, 93)( 50, 73)( 51, 97)( 54, 60)( 55,109)( 56, 78)
        ( 58, 64)( 59,113)( 62, 68)( 63,116)( 66, 81)( 67,120)( 71, 89)( 72, 85)( 74, 80)( 75,135)( 76,101)( 79,105)
        ( 83, 88)( 84,123)( 86,127)( 87,139)( 91, 96)( 92,128)( 94,100)( 95,147)( 98,104)( 99,148)(102,131)(103,150)
        (106,112)(107,153)(108,136)(110,115)(111,157)(114,119)(117,122)(118,158)(121,126)(124,138)(125,159)(129,146)
        (130,142)(132,137)(133,156)(134,144)(140,145)(141,155)(143,151)(149,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 82)( 42, 48)( 43, 90)( 44, 70)( 46, 52)( 47, 93)( 50, 73)( 51, 97)( 54, 60)( 55,109)( 56, 78)
        ( 58, 64)( 59,113)( 62, 68)( 63,116)( 66, 81)( 67,120)( 71, 89)( 72, 85)( 74, 80)( 75,135)( 76,101)( 79,105)
        ( 83, 88)( 84,123)( 86,127)( 87,139)( 91, 96)( 92,128)( 94,100)( 95,147)( 98,104)( 99,149)(102,131)(103,150)
        (106,112)(107,153)(108,136)(110,115)(111,157)(114,119)(117,122)(118,158)(121,126)(124,138)(125,159)(129,146)
        (130,142)(132,137)(133,156)(134,144)(140,145)(141,155)(143,151)(148,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 87)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 72)( 43, 91)( 46, 52)( 47,100)( 48, 73)( 50, 56)( 51,103)( 54, 76)( 55,107)
        ( 58, 63)( 59,119)( 60, 81)( 62, 67)( 65, 71)( 66,120)( 69, 84)( 70,123)( 74, 99)( 75, 95)( 77, 83)( 78,139)
        ( 79,111)( 82,115)( 85, 90)( 86,127)( 89, 94)( 92, 98)( 93,128)( 96,131)( 97,142)(101,106)(102,132)(104,110)
        (105,151)(108,114)(109,153)(112,135)(113,154)(116,122)(117,157)(118,140)(121,126)(124,130)(125,158)(129,145)
        (133,150)(134,146)(136,141)(137,160)(138,148)(143,149)(144,159)(147,155)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 83)( 28, 55)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 42)( 38, 71)( 40, 46)( 41, 88)( 44, 75)( 45, 91)( 48, 54)( 49,103)( 50, 76)( 52, 58)( 53,107)( 56, 79)
        ( 57,108)( 60, 66)( 61,115)( 62, 85)( 64, 70)( 65,119)( 68, 74)( 69,123)( 72, 87)( 73,124)( 77, 99)( 78, 95)
        ( 80, 86)( 81,118)( 82,111)( 89, 94)( 90,127)( 92, 98)( 93,140)( 96,131)( 97,142)(100,106)(101,151)(102,132)
        (104,110)(105,153)(109,114)(112,135)(113,154)(116,122)(117,136)(120,126)(121,157)(125,130)(128,139)(129,158)
        (133,150)(134,146)(137,160)(138,148)(141,145)(143,149)(144,159)(147,155)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 69)( 38, 44)( 39, 87)( 42, 72)( 43, 91)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,111)
        ( 58, 64)( 59,119)( 60, 81)( 62, 68)( 63,123)( 66, 71)( 67,127)( 70, 83)( 74, 99)( 75, 95)( 77, 82)( 78,122)
        ( 79,115)( 85, 90)( 86,128)( 88, 94)( 89,136)( 92, 98)( 93,139)( 96,102)( 97,142)(100,106)(101,146)(104,110)
        (105,150)(108,114)(109,154)(112,118)(113,155)(116,131)(117,152)(120,126)(121,132)(124,130)(125,157)(129,135)
        (133,160)(134,148)(137,141)(138,158)(140,145)(143,149)(144,159)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 87)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 72)( 43, 91)( 46, 52)( 47,100)( 48, 73)( 50, 56)( 51,103)( 54, 76)( 55,107)
        ( 58, 64)( 59,115)( 60, 81)( 62, 68)( 63,119)( 66, 71)( 67,123)( 70, 83)( 74, 99)( 75, 95)( 77, 82)( 78,118)
        ( 79,111)( 84, 90)( 85,138)( 86,124)( 89, 94)( 92, 98)( 93,139)( 96,127)( 97,142)(101,106)(102,128)(104,110)
        (105,151)(108,114)(109,152)(112,131)(113,154)(116,122)(117,132)(120,126)(121,157)(125,135)(129,150)(130,146)
        (133,160)(134,148)(136,141)(137,158)(140,145)(143,149)(144,159)(147,155)(153,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 87)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 73)( 43, 91)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,104)( 54, 77)( 55,107)
        ( 58, 64)( 59,115)( 60, 82)( 62, 68)( 63,119)( 66, 72)( 67,123)( 70, 84)( 71,126)( 75, 99)( 76, 95)( 78, 83)
        ( 79,118)( 80,111)( 85, 90)( 86,130)( 89, 94)( 92, 98)( 93,131)( 96,134)( 97,142)(100,106)(101,151)(102,135)
        (105,110)(108,114)(109,152)(112,138)(113,154)(116,122)(117,139)(120,125)(121,157)(124,129)(127,133)(128,158)
        (132,145)(136,150)(137,146)(140,160)(141,148)(143,149)(144,159)(147,155)(153,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 84)( 41, 72)( 42, 87)( 45, 51)( 46, 96)( 47, 73)( 49, 55)( 50, 99)( 53, 76)( 54,103)( 57, 63)
        ( 58,111)( 59, 81)( 61, 67)( 62,115)( 65, 71)( 66,119)( 69, 83)( 70,123)( 74, 95)( 75, 91)( 77, 82)( 78,114)
        ( 79,107)( 85, 90)( 86,124)( 88, 94)( 89,136)( 92,127)( 93,139)( 97,102)( 98,128)(100,106)(101,148)(104,110)
        (105,150)(108,131)(109,151)(112,118)(113,132)(116,122)(117,154)(120,126)(121,158)(125,135)(129,147)(130,143)
        (133,157)(134,145)(137,142)(138,159)(140,146)(141,156)(144,152)(149,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 87)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,112)
        ( 58, 64)( 59,119)( 60, 81)( 62, 67)( 63,123)( 66, 71)( 69, 83)( 70,124)( 74,103)( 75, 99)( 77, 82)( 78,122)
        ( 79,115)( 84, 90)( 85,143)( 86,127)( 88, 94)( 89,147)( 92, 98)( 93,148)( 96,102)( 97,145)(100,131)(101,141)
        (104,110)(105,155)(106,132)(108,114)(109,157)(113,118)(116,135)(117,158)(120,126)(121,136)(125,130)(128,139)
        (129,137)(133,154)(134,150)(138,152)(140,146)(142,153)(144,149)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 92)( 48, 71)( 49, 95)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,111)( 60, 66)( 61,115)( 64, 75)( 65,116)( 69, 87)( 70, 83)( 73,103)( 74, 99)( 77, 82)( 78,119)( 80, 86)
        ( 81,132)( 84,123)( 85,135)( 88, 94)( 89,147)( 90,124)( 93, 98)( 96,102)( 97,148)(100,127)(101,145)(104,110)
        (105,151)(106,128)(108,114)(109,154)(112,118)(113,158)(117,122)(120,131)(121,159)(125,143)(126,139)(129,150)
        (130,141)(133,138)(134,156)(136,142)(137,153)(140,146)(144,149)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 61)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 96)( 49, 68)( 50, 99)( 53, 59)( 54,111)( 55, 69)
        ( 57, 63)( 58,115)( 62, 72)( 66, 91)( 67, 87)( 70,107)( 71,103)( 73, 78)( 74,130)( 75,116)( 77, 82)( 80, 86)
        ( 81,131)( 84, 90)( 85,134)( 88,119)( 89,138)( 92, 98)( 93,147)( 94,120)( 97,102)(100,106)(101,148)(104,123)
        (105,150)(108,114)(109,154)(110,124)(112,118)(113,157)(117,127)(121,146)(122,142)(125,153)(126,144)(128,133)
        (129,158)(132,137)(135,141)(136,159)(139,145)(140,156)(143,151)(149,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 75)( 34, 39)( 35, 87)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 88)( 45, 51)( 46, 99)( 47, 61)( 49, 55)( 50,103)( 53, 64)( 54,107)( 58, 83)
        ( 59, 79)( 62, 95)( 63, 91)( 65, 71)( 66,123)( 67,111)( 69, 74)( 70,127)( 73, 78)( 76, 82)( 77,128)( 80,115)
        ( 81,131)( 84, 90)( 85,142)( 86,116)( 89, 94)( 92, 98)( 93,143)( 96,102)( 97,146)(100,106)(101,150)(104,110)
        (105,154)(108,114)(109,155)(112,119)(113,152)(117,138)(118,135)(120,126)(121,140)(122,148)(124,130)(125,159)
        (129,134)(132,137)(133,160)(136,157)(139,145)(141,158)(144,149)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 87)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 88)( 45, 51)( 46, 99)( 47, 61)( 49, 55)( 50,100)( 53, 64)( 54,103)( 58, 83)
        ( 59, 80)( 62, 95)( 63, 91)( 65, 71)( 66,123)( 67,107)( 69, 75)( 70,127)( 73, 79)( 74,130)( 77, 82)( 78,134)
        ( 81,111)( 84, 90)( 85,142)( 86,112)( 89, 94)( 92,115)( 93,143)( 96,102)( 97,154)( 98,116)(101,106)(104,110)
        (105,155)(108,119)(109,152)(113,138)(114,135)(117,150)(118,146)(120,126)(121,140)(122,148)(124,129)(125,159)
        (128,133)(131,137)(132,160)(136,157)(139,145)(141,158)(144,149)(147,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 87)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 88)( 45, 51)( 46, 96)( 47, 61)( 49, 55)( 50, 99)( 53, 64)( 54,103)( 58, 83)
        ( 59, 79)( 62, 95)( 63, 91)( 65, 71)( 66,123)( 67,107)( 69, 75)( 70,127)( 73, 78)( 74,131)( 77, 82)( 80,111)
        ( 81,132)( 84, 90)( 85,142)( 86,112)( 89, 94)( 92,115)( 93,143)( 97,102)( 98,116)(100,106)(101,151)(104,110)
        (105,152)(108,119)(109,154)(113,138)(114,135)(117,150)(118,146)(120,126)(121,140)(122,148)(124,130)(125,159)
        (128,134)(129,160)(133,137)(136,157)(139,145)(141,158)(144,149)(147,155)(153,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 87)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 88)( 45, 51)( 46, 99)( 47, 61)( 49, 55)( 50,100)( 53, 64)( 54,103)( 58, 83)
        ( 59, 80)( 62, 95)( 63, 91)( 65, 71)( 66,123)( 67,107)( 69, 75)( 70,127)( 73, 79)( 74,131)( 77, 82)( 78,134)
        ( 81,111)( 84, 90)( 85,142)( 86,112)( 89, 94)( 92,115)( 93,143)( 96,102)( 97,151)( 98,116)(101,106)(104,110)
        (105,152)(108,119)(109,154)(113,138)(114,135)(117,150)(118,146)(120,126)(121,140)(122,148)(124,130)(125,159)
        (128,133)(129,160)(132,137)(136,157)(139,145)(141,158)(144,149)(147,155)(153,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 87)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 88)( 45, 51)( 46, 96)( 47, 61)( 49, 55)( 50, 99)( 53, 64)( 54,103)( 58, 83)
        ( 59, 79)( 62, 95)( 63, 91)( 65, 71)( 66,123)( 67,107)( 69, 75)( 70,127)( 73, 78)( 74,131)( 77, 82)( 80,111)
        ( 81,132)( 84, 90)( 85,143)( 86,112)( 89, 94)( 92,115)( 93,144)( 97,102)( 98,116)(100,106)(101,152)(104,110)
        (105,154)(108,119)(109,155)(113,139)(114,135)(117,151)(118,147)(120,126)(121,141)(122,149)(124,130)(125,160)
        (128,134)(129,137)(133,138)(136,158)(140,146)(142,159)(145,150)(148,156)(153,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 39)( 35, 68)
        ( 37, 43)( 38, 85)( 41, 72)( 42, 88)( 45, 51)( 46, 99)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,103)( 57, 63)
        ( 58,115)( 59, 80)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 84)( 70,126)( 74, 95)( 75, 91)( 78, 83)( 79,107)
        ( 81,111)( 82,139)( 86, 90)( 87,130)( 89, 94)( 92,134)( 93,131)( 96,102)( 97,153)( 98,135)(101,106)(104,110)
        (105,154)(108,138)(109,155)(112,117)(113,120)(114,142)(116,121)(119,125)(123,129)(124,143)(127,133)(128,157)
        (132,148)(136,149)(137,146)(140,145)(141,151)(144,160)(147,158)(150,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 68)( 42, 47)( 45, 71)( 46,100)( 49, 55)( 50,111)( 51, 72)( 53, 59)( 54,115)
        ( 57, 75)( 58,118)( 61, 67)( 62, 98)( 63, 91)( 66, 70)( 69, 95)( 73,107)( 74,103)( 76, 82)( 77,134)( 78,122)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,126)( 93,145)( 96,102)( 97,127)(101,106)(104,110)
        (105,128)(108,114)(109,150)(112,117)(113,153)(116,121)(119,125)(120,154)(123,130)(124,157)(129,149)(131,137)
        (132,143)(133,158)(136,140)(139,144)(142,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 68)( 42, 47)( 45, 71)( 46,100)( 49, 55)( 50,111)( 51, 72)( 53, 59)( 54,115)
        ( 57, 75)( 58,118)( 61, 66)( 62, 98)( 63, 91)( 65, 70)( 69, 95)( 73,107)( 74,103)( 76, 82)( 77,134)( 78,122)
        ( 80, 86)( 81,137)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,126)( 93,145)( 96,102)( 97,127)(101,106)(104,110)
        (105,128)(108,114)(109,150)(112,117)(113,153)(116,121)(119,125)(120,154)(123,130)(124,157)(129,149)(131,136)
        (132,143)(133,158)(135,140)(139,144)(142,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 79)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,104)( 57, 63)
        ( 58,115)( 59, 83)( 61, 66)( 62,118)( 65, 70)( 68, 87)( 69,119)( 73, 95)( 74, 91)( 77, 82)( 78,107)( 80, 86)
        ( 81,131)( 84,111)( 85,134)( 89, 94)( 90,122)( 92,126)( 93,143)( 96,102)( 97,153)( 98,127)(100,106)(101,154)
        (105,110)(108,130)(109,155)(112,117)(113,124)(114,138)(116,121)(120,125)(123,142)(128,149)(129,146)(132,137)
        (133,151)(135,141)(136,159)(139,145)(140,160)(144,148)(147,157)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 66)( 23, 47)( 24, 43)( 26, 31)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 94)( 39, 70)( 41, 46)( 44, 74)( 45, 95)( 48, 54)( 49,106)( 50, 75)( 52, 58)( 53,110)( 56, 78)
        ( 57,114)( 60, 65)( 61,122)( 62, 86)( 64, 69)( 67, 73)( 68,123)( 71, 90)( 72,124)( 76,102)( 77, 98)( 80, 85)
        ( 81,115)( 83, 89)( 84,130)( 87,118)( 88,133)( 91, 97)( 92,141)( 93,120)( 96,101)( 99,126)(100,142)(103,109)
        (104,149)(105,127)(107,113)(108,150)(111,117)(112,153)(116,129)(119,125)(121,137)(128,145)(131,136)(132,154)
        (134,140)(135,158)(138,144)(139,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 73)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 64)( 41, 68)( 42, 85)( 45, 51)( 46, 95)( 47, 69)( 49, 55)( 50, 99)( 53, 72)( 54,103)( 57, 63)
        ( 58,111)( 59, 80)( 62, 67)( 65, 84)( 66,112)( 70, 92)( 71, 88)( 74, 79)( 75,104)( 77, 83)( 78,124)( 81,107)
        ( 82,127)( 86, 91)( 87,115)( 89,119)( 90,135)( 93, 98)( 94,120)( 96,102)( 97,143)(100,106)(101,146)(105,123)
        (108,114)(109,154)(110,131)(113,118)(116,134)(117,155)(121,142)(122,138)(125,130)(126,147)(128,133)(129,158)
        (132,150)(136,141)(137,152)(139,145)(140,160)(144,149)(148,157)(151,156)(153,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 72)( 43, 96)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,114)
        ( 58, 64)( 59,126)( 60, 91)( 62, 67)( 63,130)( 66, 71)( 69, 95)( 70,131)( 74,103)( 75, 99)( 77, 83)( 78,145)
        ( 79,118)( 81, 86)( 82,146)( 85, 90)( 88, 94)( 89,147)( 92,122)( 93,143)( 97,102)( 98,134)(100,137)(101,154)
        (104,110)(105,150)(106,138)(108,113)(109,157)(112,117)(115,121)(116,158)(119,141)(120,159)(123,129)(124,139)
        (125,149)(127,133)(128,156)(132,136)(135,153)(140,155)(142,148)(144,152)(151,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,118)( 61, 67)( 62,130)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 78)( 74,142)( 75,122)( 77, 82)
        ( 80, 86)( 81,143)( 84, 90)( 85,144)( 88,126)( 89,140)( 92, 98)( 93,154)( 94,131)( 97,102)(100,106)(101,155)
        (104,134)(105,152)(108,114)(109,147)(110,135)(112,117)(113,157)(116,121)(119,125)(120,158)(123,138)(124,159)
        (127,133)(128,136)(129,146)(132,150)(137,153)(139,145)(141,149)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,130)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 79)( 74,142)( 75,122)( 77, 82)
        ( 78,143)( 81, 86)( 84, 90)( 85,144)( 88,126)( 89,140)( 92, 98)( 93,154)( 94,131)( 97,102)(100,106)(101,155)
        (104,134)(105,152)(108,114)(109,147)(110,135)(112,118)(113,157)(116,121)(117,158)(120,125)(123,138)(124,159)
        (127,133)(128,136)(129,146)(132,150)(137,153)(139,145)(141,149)(148,160)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 99)( 40, 69)( 42, 47)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 91)( 65, 71)( 66,131)( 70, 95)( 74,107)( 75,103)( 77, 82)( 78,142)
        ( 79,119)( 81, 86)( 84, 90)( 85,143)( 88, 94)( 89,144)( 92,123)( 93,140)( 96,102)( 97,150)( 98,132)(101,106)
        (104,134)(105,151)(108,114)(109,157)(110,135)(112,118)(113,158)(117,122)(120,138)(121,159)(124,130)(125,155)
        (126,146)(128,133)(129,153)(136,147)(137,154)(139,145)(141,149)(148,160)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 69)( 42, 72)( 43, 96)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,112)
        ( 58, 64)( 59,123)( 60, 91)( 62, 68)( 63,127)( 66, 71)( 67,130)( 70, 95)( 74,103)( 75, 99)( 77, 83)( 78,142)
        ( 79,115)( 81, 86)( 82,143)( 85, 90)( 88, 94)( 89,144)( 92,119)( 93,140)( 97,102)( 98,131)(100,134)(101,151)
        (104,110)(105,157)(106,135)(108,114)(109,158)(113,118)(116,138)(117,159)(120,126)(121,155)(122,146)(124,129)
        (125,153)(128,133)(132,150)(136,147)(137,154)(139,145)(141,149)(148,160)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 94)( 43, 69)( 45, 51)( 46, 98)( 49, 72)( 50, 99)( 53, 59)( 54,110)( 55, 73)
        ( 57, 63)( 58,111)( 61, 67)( 62,114)( 65, 76)( 66,118)( 70, 91)( 71, 87)( 74,106)( 75,102)( 77, 82)( 78,122)
        ( 80, 86)( 81,135)( 85, 90)( 88,126)( 89,136)( 92, 97)( 93,127)( 95,101)( 96,143)(100,105)(103,130)(104,144)
        (107,113)(108,154)(109,131)(112,117)(115,121)(116,155)(119,125)(120,152)(123,134)(124,157)(128,142)(129,138)
        (132,150)(133,146)(137,141)(139,148)(140,158)(145,149)(147,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,119)
        ( 57, 79)( 58,123)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 74)( 70,139)( 73, 99)( 77,111)( 78,107)
        ( 80, 86)( 81,149)( 82,124)( 84, 90)( 85,150)( 88, 94)( 89,151)( 92, 98)( 93,147)( 96,127)( 97,153)(101,106)
        (102,140)(104,110)(105,137)(108,142)(109,133)(112,118)(113,158)(114,143)(116,122)(117,159)(120,126)(121,155)
        (125,145)(128,134)(129,144)(130,157)(132,138)(136,141)(146,152)(148,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42,100)( 45, 75)( 46,103)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,122)( 61, 67)( 62,130)( 63, 95)( 65, 71)( 66,134)( 69, 74)( 70,138)( 73, 99)( 77,111)( 78,107)
        ( 80, 86)( 81,149)( 82,123)( 84, 90)( 85,150)( 88, 94)( 89,151)( 92, 98)( 93,147)( 96,126)( 97,153)(101,106)
        (102,139)(104,110)(105,136)(108,141)(109,132)(112,117)(113,142)(115,121)(116,159)(119,125)(120,155)(124,145)
        (127,133)(128,144)(129,157)(131,137)(135,140)(143,158)(146,152)(148,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 63)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 76)( 34, 39)( 35, 67)
        ( 37, 43)( 38, 84)( 41, 71)( 42, 87)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,107)( 57, 62)
        ( 58,118)( 59, 79)( 61, 66)( 64, 70)( 65,119)( 68, 83)( 69,122)( 73, 95)( 74, 91)( 77, 82)( 78,111)( 80,114)
        ( 81,130)( 85, 90)( 86,125)( 88, 94)( 89,138)( 92, 98)( 93,141)( 96,102)( 97,145)(100,106)(101,149)(104,110)
        (105,150)(108,113)(109,153)(112,129)(115,121)(116,127)(117,133)(120,124)(123,128)(126,137)(131,136)(132,154)
        (134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,107)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,124)( 69, 88)( 70,127)( 74, 96)( 75, 92)( 78, 83)( 79,111)
        ( 81, 87)( 82,139)( 85,115)( 86,142)( 90, 95)( 91,130)( 93,134)( 94,150)( 97,103)( 98,153)( 99,135)(101,106)
        (102,157)(105,110)(108,114)(109,158)(112,138)(113,159)(116,122)(117,152)(118,145)(120,126)(121,132)(125,129)
        (128,133)(131,149)(136,146)(137,151)(140,144)(141,155)(143,148)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,126)( 69, 88)( 70,127)( 74, 96)( 75, 92)( 78, 83)( 79,111)
        ( 81, 87)( 82,139)( 85,115)( 86,142)( 90, 95)( 91,130)( 93,134)( 94,150)( 97,103)( 98,153)( 99,135)(101,107)
        (102,157)(105,110)(106,158)(109,114)(112,138)(113,159)(116,122)(117,152)(118,145)(120,125)(121,132)(124,129)
        (128,133)(131,149)(136,146)(137,151)(140,144)(141,155)(143,148)(147,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 61)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,102)( 53, 59)( 54,114)( 55, 69)
        ( 57, 63)( 58,117)( 62, 72)( 66, 91)( 67, 87)( 70,110)( 71,106)( 73, 79)( 74,133)( 75,118)( 77, 83)( 78,137)
        ( 81, 86)( 82,141)( 85, 90)( 88,121)( 89,142)( 92, 98)( 93,149)( 94,122)( 96,101)( 97,153)(100,105)(103,109)
        (104,154)(107,125)(108,155)(111,116)(112,132)(113,126)(115,120)(119,129)(123,145)(124,143)(127,157)(128,151)
        (130,136)(131,158)(134,140)(135,159)(138,144)(139,148)(146,152)(147,160)(150,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,114)( 55, 69)
        ( 58, 63)( 61, 72)( 62,115)( 66, 91)( 67, 87)( 70,110)( 71,106)( 73, 79)( 74,131)( 75,118)( 77, 83)( 78,134)
        ( 81, 86)( 82,138)( 85, 90)( 88,122)( 89,139)( 92, 98)( 93,146)( 94,123)( 96,102)( 97,150)(100,105)(101,151)
        (104,109)(107,126)(108,152)(111,117)(112,158)(113,127)(116,121)(119,130)(120,159)(124,142)(125,140)(128,154)
        (129,148)(132,137)(133,156)(135,141)(136,145)(143,149)(144,157)(147,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 96)( 49, 68)( 50, 99)( 53, 59)( 54,111)( 55, 69)
        ( 58, 63)( 61, 72)( 62,112)( 66, 91)( 67, 87)( 70,107)( 71,103)( 73, 79)( 74,130)( 75,115)( 77, 83)( 78,134)
        ( 81, 86)( 82,138)( 85, 90)( 88,118)( 89,139)( 92, 98)( 93,149)( 94,119)( 97,102)(100,106)(101,150)(104,122)
        (105,151)(108,114)(109,129)(110,123)(113,117)(116,126)(120,145)(121,142)(124,153)(125,147)(127,133)(128,154)
        (131,137)(132,155)(135,141)(136,160)(140,144)(143,157)(146,152)(148,158)(156,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 77)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 92)( 43, 69)( 45, 51)( 46, 95)( 49, 72)( 50, 99)( 53, 59)( 54,110)( 55, 73)
        ( 57, 63)( 58,111)( 61, 67)( 62,114)( 65, 76)( 66,118)( 70, 91)( 71, 87)( 74,106)( 75,102)( 78, 83)( 79,122)
        ( 81, 86)( 82,135)( 85, 90)( 88,126)( 89,136)( 93, 98)( 94,127)( 96,101)( 97,143)(100,105)(103,130)(104,144)
        (107,113)(108,154)(109,131)(112,117)(115,121)(116,155)(119,125)(120,152)(123,134)(124,157)(128,142)(129,138)
        (132,150)(133,146)(137,141)(139,148)(140,158)(145,149)(147,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 92)( 48, 71)( 49, 95)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,110)( 60, 66)( 61,114)( 64, 75)( 65,118)( 69, 87)( 70, 83)( 73,103)( 74, 99)( 77, 82)( 78,122)( 80, 86)
        ( 81,135)( 84,126)( 85,136)( 88, 94)( 89,145)( 90,127)( 93, 98)( 96,102)( 97,146)(100,130)(101,147)(104,109)
        (105,153)(106,131)(108,113)(111,117)(112,154)(115,121)(116,155)(119,125)(120,151)(123,134)(124,157)(128,141)
        (129,138)(132,149)(133,143)(137,140)(139,158)(142,148)(144,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 91)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,103)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,120)( 62, 68)( 63,131)( 64, 95)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74, 99)( 75,142)
        ( 79,111)( 80,107)( 82, 87)( 83, 93)( 84,123)( 86, 90)( 89, 94)( 92, 98)( 96,127)( 97,124)(102,106)(104,110)
        (105,143)(108,146)(109,154)(112,118)(113,151)(114,147)(116,122)(117,152)(121,126)(125,153)(128,134)(129,148)
        (130,150)(132,138)(133,159)(136,141)(137,156)(140,145)(144,157)(149,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 71)( 30, 56)( 32, 38)( 33, 75)( 36, 59)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 60)( 44, 50)( 45, 95)( 48, 63)( 49, 99)( 52, 58)( 53,110)( 54, 64)( 57, 67)
        ( 61, 87)( 62, 83)( 65,106)( 66,102)( 68, 74)( 69,126)( 70,111)( 72, 78)( 73,127)( 76, 82)( 77,130)( 80, 86)
        ( 81,134)( 84,114)( 85,138)( 88, 94)( 89,145)( 90,115)( 92, 98)( 93,149)( 96,101)( 97,150)(100,105)(103,118)
        (104,151)(107,113)(108,157)(109,119)(112,122)(116,142)(117,139)(120,153)(121,147)(123,129)(124,132)(125,158)
        (128,133)(131,137)(135,141)(136,159)(140,155)(143,148)(144,156)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,114)( 55, 69)
        ( 58, 63)( 61, 72)( 62,115)( 66, 91)( 67, 87)( 70,110)( 71,106)( 73, 78)( 74,131)( 75,118)( 77, 82)( 80, 86)
        ( 81,132)( 84, 90)( 85,134)( 88,122)( 89,138)( 92, 98)( 93,145)( 94,123)( 96,102)( 97,149)(100,105)(101,150)
        (104,109)(107,126)(108,151)(111,117)(112,157)(113,127)(116,121)(119,130)(120,158)(124,142)(125,139)(128,153)
        (129,147)(133,137)(135,141)(136,159)(140,155)(143,148)(144,156)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 81)( 42, 48)( 43, 92)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51,100)( 54, 60)( 55,107)( 56, 78)
        ( 58, 64)( 59,111)( 62, 68)( 63,115)( 66, 80)( 67,119)( 71, 88)( 72, 84)( 74, 79)( 75,110)( 76,104)( 82, 87)
        ( 83,122)( 85, 91)( 86,131)( 89, 95)( 90,134)( 93, 99)( 94,138)( 97,103)( 98,139)(101,106)(102,142)(105,126)
        (108,114)(109,127)(112,118)(113,146)(116,121)(117,150)(120,125)(123,130)(124,151)(128,149)(129,143)(132,137)
        (133,154)(135,141)(136,160)(140,145)(144,157)(147,153)(148,158)(152,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 54)
        ( 15, 25)( 17, 28)( 18, 58)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 62)( 32, 38)( 33, 75)( 36, 66)
        ( 37, 78)( 40, 46)( 41, 90)( 42, 67)( 44, 50)( 45, 94)( 48, 70)( 49, 98)( 52, 57)( 53, 71)( 55, 61)( 56,106)
        ( 59, 65)( 60,109)( 63, 74)( 64,113)( 68, 86)( 69, 82)( 72,105)( 73,102)( 76, 81)( 77,117)( 79, 85)( 80,126)
        ( 83, 89)( 84,129)( 87, 93)( 88,133)( 91, 97)( 92,137)( 95,101)( 96,138)( 99,104)(100,141)(103,121)(107,112)
        (108,122)(110,116)(111,146)(114,120)(115,149)(118,125)(119,150)(123,145)(124,142)(127,132)(128,153)(130,136)
        (131,154)(134,140)(135,160)(139,144)(143,157)(147,152)(148,158)(151,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 94)( 48, 54)( 49,105)( 50, 68)( 52, 58)( 53,109)( 56, 71)
        ( 57,113)( 60, 66)( 61, 96)( 62, 87)( 65, 91)( 69,101)( 70, 98)( 72, 78)( 73,125)( 74,117)( 76, 82)( 77,129)
        ( 80, 86)( 81,133)( 84, 90)( 85,137)( 88, 99)( 89,104)( 93, 97)( 95,100)(102,108)(103,138)(106,112)(107,141)
        (110,116)(111,145)(114,120)(115,146)(118,121)(119,149)(122,128)(123,157)(124,150)(126,132)(127,158)(130,136)
        (131,159)(134,140)(135,155)(139,144)(142,148)(143,156)(147,152)(151,153)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 78)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 86)( 39, 44)( 40, 68)( 42, 71)( 43, 95)( 46, 52)( 47,105)( 48, 72)( 50, 56)( 51,109)( 54, 75)( 55,113)
        ( 58, 63)( 59,125)( 60, 90)( 62, 67)( 65, 70)( 66,126)( 69, 94)( 73,101)( 74, 98)( 76, 81)( 77,117)( 79, 85)
        ( 80,130)( 83, 89)( 84,133)( 87, 93)( 88,137)( 91,121)( 92,141)( 96,100)( 97,127)( 99,123)(102,108)(103,142)
        (104,124)(106,112)(107,145)(110,116)(111,149)(114,120)(115,150)(118,129)(119,153)(122,128)(131,136)(132,154)
        (134,140)(135,158)(138,144)(139,159)(143,148)(146,152)(147,160)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 68)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 73)
        ( 38, 43)( 39, 61)( 41, 47)( 42, 81)( 45, 51)( 46, 84)( 49, 55)( 50, 88)( 53, 64)( 54, 92)( 57, 63)( 58,104)
        ( 59, 76)( 62, 80)( 65, 71)( 66,112)( 67, 96)( 69, 75)( 70,115)( 74, 79)( 77,100)( 78,116)( 82, 87)( 83,105)
        ( 85, 91)( 86,124)( 89, 95)( 90,127)( 93, 99)( 94,131)( 97,108)( 98,135)(101,107)(102,147)(103,119)(106,123)
        (109,114)(110,121)(111,139)(113,118)(117,122)(120,143)(125,130)(126,148)(128,134)(129,152)(132,138)(133,154)
        (136,142)(137,158)(140,146)(141,159)(144,150)(145,156)(149,151)(153,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 67)( 30, 56)( 32, 38)( 33, 71)( 36, 42)
        ( 37, 72)( 40, 46)( 41, 75)( 44, 50)( 45, 79)( 48, 59)( 49, 83)( 52, 58)( 53, 95)( 54, 60)( 57, 63)( 61, 91)
        ( 62, 87)( 64, 70)( 65,107)( 66, 96)( 68, 74)( 69,111)( 73, 78)( 76, 82)( 77,112)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 99)( 89,123)( 92, 98)( 93,135)( 94,100)( 97,103)(101,131)(102,127)(104,110)(105,146)(106,136)
        (108,114)(109,150)(113,118)(116,122)(117,151)(120,126)(121,154)(124,130)(125,158)(128,139)(129,159)(132,138)
        (133,145)(134,140)(137,143)(141,148)(142,156)(144,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,123)( 52, 77)( 54, 60)
        ( 55,127)( 58, 80)( 59,131)( 62, 68)( 63,135)( 64, 96)( 66, 72)( 67,139)( 70, 75)( 71,143)( 74,100)( 78,119)
        ( 79,115)( 81, 87)( 82,151)( 83,132)( 85, 91)( 86,152)( 89, 95)( 90,149)( 93, 99)( 94,154)( 97,121)( 98,158)
        (101,106)(102,109)(103,144)(105,110)(108,114)(112,118)(113,145)(116,137)(117,141)(120,126)(122,138)(124,130)
        (125,159)(128,134)(129,156)(133,147)(136,142)(140,146)(148,153)(150,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 64)( 36, 42)
        ( 37, 71)( 40, 46)( 41, 75)( 44, 50)( 45, 79)( 48, 67)( 49, 83)( 52, 58)( 53, 95)( 54, 68)( 56, 62)( 57, 99)
        ( 60, 66)( 61,103)( 65, 74)( 69, 91)( 70, 87)( 72, 78)( 73,104)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88,107)( 89,123)( 92, 98)( 93,132)( 94,108)( 96,102)( 97,135)(100,106)(101,139)(105,114)(109,131)
        (110,127)(112,118)(113,140)(116,122)(117,147)(120,126)(121,151)(124,130)(125,155)(128,143)(129,156)(133,138)
        (134,144)(136,142)(137,159)(141,150)(145,158)(146,153)(148,154)(149,160)(152,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 68)( 43, 93)( 46, 52)( 47, 96)( 48, 69)( 50, 56)( 51,100)( 54, 72)( 55,104)
        ( 58, 64)( 59, 95)( 60, 88)( 63, 67)( 66, 92)( 70, 89)( 71, 94)( 73, 79)( 74,115)( 75,108)( 77, 83)( 78,119)
        ( 81, 87)( 82,123)( 85, 91)( 86,127)( 90, 99)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,112)
        (110,139)(113,118)(114,142)(116,122)(117,147)(120,126)(121,150)(124,130)(125,153)(129,134)(132,138)(133,154)
        (136,141)(137,157)(140,145)(143,146)(144,158)(148,152)(149,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 68)( 43, 93)( 46, 52)( 47, 96)( 48, 69)( 50, 56)( 51,100)( 54, 72)( 55,104)
        ( 58, 63)( 59, 95)( 60, 88)( 62, 67)( 66, 92)( 70, 89)( 71, 94)( 73, 79)( 74,115)( 75,108)( 77, 83)( 78,119)
        ( 81, 87)( 82,123)( 85, 91)( 86,127)( 90, 99)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,112)
        (110,139)(113,118)(114,143)(116,122)(117,147)(120,126)(121,150)(124,130)(125,153)(129,134)(132,138)(133,154)
        (136,142)(137,157)(140,145)(141,158)(144,146)(148,152)(149,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 72)( 28, 53)( 30, 36)( 31, 76)( 34, 57)
        ( 35, 80)( 39, 44)( 40, 65)( 42, 48)( 43, 89)( 46, 52)( 47, 92)( 50, 56)( 51, 96)( 54, 68)( 55,100)( 58, 63)
        ( 59, 91)( 60, 84)( 62, 67)( 66, 88)( 69, 75)( 70,112)( 71,104)( 73, 79)( 74,115)( 77, 83)( 78,119)( 81, 87)
        ( 82,123)( 85, 94)( 86,127)( 90, 95)( 93, 99)( 97,103)( 98,128)(101,107)(102,131)(105,108)(106,135)(109,114)
        (110,145)(111,139)(113,118)(116,122)(117,146)(120,126)(121,149)(124,130)(125,153)(129,134)(132,138)(133,154)
        (136,141)(137,157)(140,142)(143,148)(144,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 39)( 23, 35)( 26, 47)( 27, 44)( 29, 34)( 30, 55)( 32, 38)( 33, 68)( 36, 59)
        ( 37, 71)( 40, 46)( 41, 83)( 42, 60)( 45, 63)( 48, 54)( 49, 91)( 50, 64)( 53, 58)( 56, 67)( 57, 92)( 61, 79)
        ( 62, 75)( 65, 87)( 66, 84)( 69, 74)( 70, 95)( 72, 78)( 73,108)( 76, 99)( 77,111)( 80, 86)( 81,123)( 82,100)
        ( 85,103)( 88, 94)( 89,131)( 90,104)( 93, 98)( 96,107)( 97,132)(101,119)(102,115)(105,127)(106,124)(109,114)
        (110,135)(112,118)(113,146)(116,139)(117,147)(120,126)(121,153)(122,140)(125,142)(128,134)(129,157)(130,143)
        (133,138)(136,145)(137,158)(141,149)(144,154)(148,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 35)(  8, 14)( 10, 21)( 11, 47)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 43)( 20, 39)( 22, 27)( 23, 63)( 24, 48)( 26, 31)( 29, 51)( 30, 64)( 33, 38)( 34, 52)( 36, 42)
        ( 37, 72)( 40, 55)( 41, 75)( 44, 50)( 45, 87)( 46, 56)( 49, 59)( 53, 71)( 54, 67)( 57, 83)( 58, 79)( 60, 66)
        ( 61,103)( 62, 88)( 65, 70)( 68, 91)( 69,104)( 73, 78)( 74, 92)( 76, 82)( 77,112)( 80, 95)( 81,115)( 84, 90)
        ( 85,127)( 86, 96)( 89, 99)( 93,111)( 94,107)( 97,123)( 98,119)(100,106)(101,142)(102,128)(105,110)(108,131)
        (109,143)(113,118)(114,132)(116,122)(117,151)(120,135)(121,152)(124,130)(125,158)(126,136)(129,139)(133,150)
        (134,146)(137,157)(138,154)(140,145)(141,159)(144,149)(147,155)(148,160)(153,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 32)( 18, 36)( 22, 43)( 23, 40)( 25, 31)( 26, 70)( 27, 51)( 29, 35)( 30, 74)( 33, 55)( 34, 78)
        ( 38, 42)( 39, 60)( 41, 63)( 44, 50)( 45, 57)( 46, 64)( 48, 54)( 49, 83)( 52, 66)( 53, 86)( 56, 62)( 58, 82)
        ( 61, 65)( 67, 73)( 68, 98)( 69, 90)( 71, 77)( 72,102)( 75, 81)( 76,106)( 79, 85)( 80,110)( 84, 89)( 87, 93)
        ( 88,111)( 91, 94)( 92,114)( 95,101)( 96,126)( 97,118)( 99,105)(100,130)(103,109)(104,134)(107,113)(108,138)
        (112,117)(115,121)(116,139)(119,122)(120,142)(123,129)(124,154)(125,146)(127,133)(128,155)(131,137)(132,152)
        (135,141)(136,157)(140,145)(143,149)(144,158)(147,150)(148,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 50)( 12, 21)( 14, 19)
        ( 15, 62)( 16, 32)( 18, 36)( 22, 46)( 23, 43)( 25, 31)( 26, 74)( 27, 54)( 29, 35)( 30, 78)( 33, 58)( 34, 82)
        ( 37, 42)( 38, 69)( 39, 63)( 41, 45)( 44, 66)( 47, 53)( 48, 60)( 49, 67)( 51, 57)( 52, 87)( 55, 70)( 56, 90)
        ( 59, 65)( 61, 86)( 64, 68)( 71, 77)( 72,102)( 73, 94)( 75, 81)( 76,106)( 79, 85)( 80,110)( 83, 89)( 84,114)
        ( 88, 93)( 91, 97)( 92,115)( 95, 98)( 96,118)( 99,105)(100,129)(101,122)(103,109)(104,133)(107,113)(108,137)
        (111,117)(112,141)(116,121)(119,125)(120,142)(123,126)(124,145)(127,132)(128,149)(130,136)(131,154)(134,140)
        (135,155)(138,144)(139,157)(143,148)(146,152)(147,158)(150,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 46)( 12, 21)( 14, 19)
        ( 15, 58)( 16, 31)( 18, 35)( 22, 42)( 24, 30)( 25, 66)( 26, 50)( 28, 34)( 29, 70)( 32, 54)( 33, 74)( 36, 41)
        ( 37, 83)( 38, 59)( 40, 45)( 43, 49)( 44, 84)( 47, 53)( 48, 86)( 51, 62)( 52, 90)( 55, 61)( 56, 88)( 57, 78)
        ( 60, 82)( 63, 69)( 64,102)( 65, 94)( 67, 73)( 68,106)( 71, 77)( 72,110)( 75, 81)( 76,114)( 79, 92)( 80,118)
        ( 85, 89)( 87, 93)( 91, 97)( 95, 98)( 96,119)( 99,105)(100,129)(101,122)(103,109)(104,133)(107,113)(108,137)
        (111,117)(112,141)(115,121)(116,145)(120,125)(123,126)(124,146)(127,132)(128,149)(130,136)(131,154)(134,140)
        (135,155)(138,144)(139,157)(142,148)(143,158)(147,152)(150,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 32)( 18, 36)( 19, 59)( 23, 42)( 25, 31)( 26, 70)( 27, 50)( 29, 35)( 30, 74)( 33, 54)( 34, 78)
        ( 37, 41)( 38, 62)( 40, 45)( 43, 49)( 44, 63)( 47, 53)( 48, 86)( 51, 66)( 52, 90)( 55, 61)( 56, 88)( 57, 82)
        ( 60, 65)( 64, 89)( 67, 73)( 68,102)( 69, 94)( 71, 77)( 72,106)( 75, 81)( 76,110)( 79, 85)( 80,114)( 83, 92)
        ( 84,118)( 87, 93)( 91, 97)( 95, 98)( 96,119)( 99,105)(100,130)(101,122)(103,109)(104,133)(107,113)(108,137)
        (111,117)(112,141)(115,121)(116,145)(120,125)(123,126)(124,146)(127,132)(128,154)(129,149)(131,136)(134,140)
        (135,155)(138,144)(139,157)(142,148)(143,158)(147,152)(150,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 82)( 39, 44)( 40, 65)( 42, 69)( 43, 90)( 46, 52)( 47,101)( 48, 70)( 50, 56)( 51,105)( 54, 73)( 55,108)
        ( 58, 64)( 59,120)( 60, 85)( 63, 68)( 66, 89)( 67,121)( 71, 97)( 72, 93)( 74, 80)( 75,135)( 76,112)( 78, 84)
        ( 79,138)( 83, 88)( 86,116)( 87,139)( 91, 96)( 92,124)( 94,128)( 95,147)( 98,104)( 99,154)(100,129)(102,107)
        (103,158)(106,111)(109,115)(110,159)(113,131)(114,156)(117,123)(118,126)(119,142)(122,127)(125,146)(130,150)
        (132,137)(133,144)(134,152)(136,141)(140,145)(143,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,107)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,124)( 69, 88)( 70,127)( 74, 96)( 75, 92)( 78, 83)( 79,111)
        ( 81, 87)( 82,139)( 85,115)( 86,142)( 90, 95)( 91,131)( 93,135)( 94,147)( 97,103)( 98,154)( 99,136)(101,106)
        (102,158)(105,110)(108,114)(109,159)(112,138)(113,156)(116,122)(117,133)(118,143)(120,126)(121,129)(125,130)
        (128,134)(132,146)(137,150)(140,145)(141,152)(144,149)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 82)( 42, 48)( 43, 92)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51, 99)( 54, 60)( 55,111)( 56, 78)
        ( 58, 64)( 59,115)( 62, 68)( 63,116)( 66, 81)( 67,119)( 71, 89)( 72, 85)( 74, 80)( 75,135)( 76,103)( 79,107)
        ( 83, 88)( 84,123)( 86,127)( 87,139)( 90, 95)( 91,128)( 93, 98)( 94,147)( 97,102)(100,106)(101,148)(104,131)
        (105,150)(108,114)(109,153)(110,136)(112,118)(113,157)(117,122)(120,126)(121,158)(124,138)(125,159)(129,146)
        (130,142)(132,137)(133,156)(134,144)(140,145)(141,155)(143,151)(149,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 86)( 42, 69)( 43, 89)( 46, 52)( 47,100)( 48, 70)( 50, 56)( 51,104)( 54, 73)( 55,108)
        ( 58, 64)( 59,119)( 60, 78)( 63, 68)( 66, 81)( 67,120)( 71, 97)( 72, 93)( 74, 80)( 75,135)( 76,111)( 79,115)
        ( 82, 88)( 83,139)( 84,123)( 87, 92)( 90, 96)( 91,140)( 94,127)( 95,142)( 98,103)( 99,128)(101,107)(102,151)
        (105,110)(106,153)(109,114)(112,131)(113,154)(116,122)(117,157)(118,136)(121,126)(124,138)(125,158)(129,150)
        (130,146)(132,137)(133,160)(134,148)(141,145)(143,149)(144,159)(147,155)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 89)( 42, 72)( 43, 92)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,110)
        ( 58, 63)( 59, 80)( 61, 67)( 62,119)( 65, 71)( 66,122)( 69, 84)( 70,123)( 74,100)( 75, 96)( 78, 83)( 79,114)
        ( 81,118)( 82,135)( 85, 91)( 86,143)( 87,126)( 90, 95)( 93, 99)( 94,144)( 97,130)( 98,146)(101,106)(102,131)
        (104,109)(105,155)(108,113)(111,117)(112,156)(115,134)(116,158)(120,125)(121,138)(124,129)(127,142)(128,139)
        (132,154)(133,150)(136,141)(137,152)(140,148)(145,149)(147,153)(151,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 75)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 80)( 41, 47)( 42, 87)( 43, 65)( 45, 51)( 46, 91)( 49, 67)( 50, 95)( 53, 59)( 54,107)( 55, 68)
        ( 58, 63)( 61, 71)( 62,108)( 66, 83)( 69,103)( 70, 99)( 72, 78)( 73,123)( 74,111)( 76, 82)( 77,127)( 81, 86)
        ( 84, 90)( 85,128)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(100,115)(101,142)(104,110)(105,153)
        (106,116)(109,114)(112,119)(113,154)(117,149)(118,145)(120,126)(121,151)(122,155)(124,130)(125,159)(129,134)
        (132,138)(133,160)(136,141)(137,147)(140,144)(143,148)(146,157)(150,156)(152,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 75)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 63)( 38, 80)( 41, 46)( 42, 64)( 44, 50)( 45, 88)( 48, 67)( 49, 91)( 52, 58)( 53,103)( 54, 68)( 56, 62)
        ( 57,107)( 61, 71)( 65, 87)( 66, 83)( 69, 99)( 70, 95)( 72, 78)( 73,123)( 74,108)( 76, 82)( 77,127)( 81, 86)
        ( 84,111)( 85,128)( 89, 94)( 90,112)( 92, 98)( 93,136)( 96,115)( 97,139)(100,106)(101,150)(102,116)(104,110)
        (105,151)(109,119)(113,135)(114,131)(117,146)(118,142)(120,126)(121,148)(122,152)(124,130)(125,159)(129,134)
        (132,154)(133,160)(137,141)(138,155)(140,145)(143,157)(144,156)(147,153)(149,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 76)( 31, 63)( 33, 39)( 34, 79)
        ( 37, 67)( 38, 80)( 41, 46)( 42, 91)( 43, 68)( 45, 50)( 48, 71)( 49, 92)( 52, 58)( 53,103)( 54, 72)( 56, 62)
        ( 57,107)( 60, 66)( 61,111)( 64, 75)( 65,115)( 69, 87)( 70, 83)( 73, 99)( 74, 95)( 77, 82)( 78,119)( 81, 86)
        ( 84,123)( 85,120)( 88, 94)( 89,138)( 90,124)( 93, 98)( 96,127)( 97,139)(100,106)(101,150)(102,128)(104,110)
        (105,151)(108,114)(109,152)(112,118)(113,148)(116,122)(117,154)(121,134)(125,135)(126,131)(129,146)(130,142)
        (132,158)(133,155)(136,141)(137,159)(140,145)(143,156)(144,160)(147,153)(149,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 93)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,122)( 60, 88)( 62, 68)( 63,126)( 66, 72)( 67,130)( 70, 92)( 71,131)( 75,100)( 76, 96)( 78, 83)
        ( 79,114)( 81, 87)( 82,143)( 86, 91)( 89,118)( 90,144)( 94, 99)( 95,134)( 97,138)( 98,151)(101,106)(102,157)
        (103,139)(105,110)(108,113)(109,158)(112,117)(115,142)(116,159)(119,125)(120,155)(121,146)(123,129)(124,153)
        (127,133)(128,136)(132,137)(135,150)(140,147)(141,154)(145,149)(148,160)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 68)( 41, 47)( 42, 97)( 45, 72)( 46, 98)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,122)( 63, 92)( 66, 71)( 69, 96)( 70,123)( 74,103)( 75,100)( 77, 83)( 78,130)
        ( 79,119)( 81, 87)( 82,131)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93,105)( 94,142)( 99,102)(101,124)(104,110)
        (106,125)(108,114)(109,143)(112,118)(113,146)(116,121)(117,150)(120,126)(127,133)(128,155)(129,151)(132,137)
        (135,141)(136,156)(139,145)(140,158)(144,149)(147,153)(148,159)(152,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 73)( 28, 53)( 30, 36)( 31, 76)( 34, 56)
        ( 35, 80)( 39, 44)( 40, 65)( 42, 68)( 43, 89)( 46, 52)( 47,100)( 48, 69)( 50, 55)( 51,104)( 54, 72)( 57, 63)
        ( 58,112)( 59, 84)( 61, 67)( 62,116)( 66, 88)( 70, 96)( 71, 92)( 74, 79)( 75,105)( 77, 83)( 78,125)( 81, 87)
        ( 82,128)( 85,108)( 86,132)( 90, 95)( 91,117)( 93,120)( 94,141)( 97,103)( 98,147)( 99,121)(101,107)(102,151)
        (106,124)(109,115)(110,145)(111,136)(113,119)(114,143)(118,140)(122,137)(123,144)(126,131)(127,152)(129,135)
        (130,156)(133,139)(134,158)(138,150)(142,146)(148,154)(149,159)(153,155)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,138)( 64, 91)( 66, 72)( 67,142)( 70, 75)( 71, 98)( 74, 95)( 78,114)
        ( 79,110)( 81, 87)( 82, 93)( 83,130)( 86, 90)( 89, 94)( 92,134)( 96,101)( 97,143)(100,105)(103,109)(104,144)
        (107,113)(108,140)(111,146)(112,136)(115,121)(116,154)(117,147)(119,125)(120,155)(123,129)(124,158)(127,133)
        (128,153)(131,137)(132,149)(135,141)(139,145)(148,150)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,138)( 64, 91)( 66, 72)( 67,142)( 70, 75)( 71, 98)( 74, 95)( 78,114)
        ( 79,110)( 81, 86)( 82, 93)( 83,130)( 85, 90)( 89, 94)( 92,134)( 96,101)( 97,143)(100,105)(103,109)(104,144)
        (107,113)(108,140)(111,146)(112,136)(115,121)(116,154)(117,147)(119,125)(120,155)(123,129)(124,158)(127,133)
        (128,153)(131,137)(132,149)(135,141)(139,145)(148,150)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 91)( 66, 72)( 67,139)( 70, 75)( 71,143)( 74, 95)( 78,111)
        ( 79,107)( 81, 87)( 82, 93)( 83,127)( 86, 90)( 89, 94)( 92,131)( 97,102)( 98,144)(100,106)(101,141)(104,110)
        (105,137)(108,146)(109,133)(112,118)(113,154)(114,147)(116,122)(117,157)(120,126)(121,158)(124,130)(125,153)
        (128,134)(129,149)(132,138)(136,142)(140,145)(148,150)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 91)( 66, 72)( 67,139)( 70, 75)( 71,143)( 74, 95)( 78,111)
        ( 79,107)( 81, 86)( 82, 93)( 83,127)( 85, 90)( 89, 94)( 92,131)( 97,102)( 98,144)(100,106)(101,141)(104,110)
        (105,137)(108,146)(109,133)(112,118)(113,154)(114,147)(116,122)(117,157)(120,126)(121,158)(124,130)(125,153)
        (128,134)(129,149)(132,138)(136,142)(140,145)(148,150)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,116)
        ( 58, 64)( 59,128)( 60, 80)( 62, 68)( 63,132)( 66, 71)( 67,136)( 70, 84)( 74,104)( 75,100)( 78, 83)( 79,120)
        ( 81,124)( 82,144)( 85, 91)( 86,134)( 87,137)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,103)( 98,148)(101,139)
        (102,146)(105,111)(106,154)(107,140)(109,115)(110,155)(113,119)(114,158)(117,123)(118,153)(121,143)(122,142)
        (125,131)(127,147)(129,135)(133,138)(141,150)(145,149)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,116)
        ( 58, 64)( 59,128)( 60, 81)( 62, 68)( 63,132)( 66, 71)( 67,136)( 70, 84)( 74,104)( 75,100)( 77, 83)( 78,146)
        ( 79,120)( 82,124)( 85, 91)( 86,134)( 87,137)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,103)( 98,148)(101,139)
        (102,145)(105,111)(106,154)(107,140)(109,115)(110,155)(113,119)(114,158)(117,123)(118,153)(121,143)(122,142)
        (125,131)(127,147)(129,135)(133,138)(141,150)(144,149)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,128)( 60, 81)( 62, 68)( 63,132)( 66, 72)( 67,136)( 70, 85)( 71,137)( 75,104)( 76,100)( 79, 84)
        ( 80,120)( 82,124)( 83,144)( 86, 91)( 87,134)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,103)( 98,148)(101,139)
        (102,146)(105,111)(106,154)(107,140)(109,115)(110,157)(113,119)(114,158)(117,123)(118,153)(121,143)(122,142)
        (125,131)(127,147)(129,135)(133,138)(141,150)(145,149)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,128)( 60, 82)( 62, 68)( 63,132)( 66, 72)( 67,136)( 70, 85)( 71,137)( 75,104)( 76,100)( 78, 84)
        ( 79,146)( 80,120)( 83,124)( 86, 91)( 87,134)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,103)( 98,148)(101,139)
        (102,145)(105,111)(106,154)(107,140)(109,115)(110,157)(113,119)(114,158)(117,123)(118,153)(121,143)(122,142)
        (125,131)(127,147)(129,135)(133,138)(141,150)(144,149)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 83)
        ( 37, 68)( 38, 87)( 41, 47)( 42, 99)( 43, 69)( 45, 51)( 46,103)( 49, 72)( 50,107)( 53, 59)( 54,116)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,123)( 65, 76)( 66,127)( 70, 95)( 71, 91)( 74,115)( 75,111)( 77, 82)( 78,130)
        ( 80, 86)( 81,131)( 84, 90)( 85,142)( 88, 94)( 89,146)( 92,134)( 93,141)( 96,102)( 97,154)( 98,135)(100,106)
        (101,157)(104,110)(105,158)(108,114)(109,153)(112,138)(113,137)(117,122)(118,139)(120,126)(121,148)(124,129)
        (125,144)(128,133)(132,145)(136,150)(140,147)(143,149)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 62, 67)( 63, 84)( 65, 88)( 66,128)( 70,107)( 71,103)( 74, 79)( 75,123)( 77, 83)( 78,139)
        ( 81, 87)( 82,142)( 85,127)( 86,146)( 89, 94)( 90,130)( 92, 98)( 93,131)( 96,102)( 97,148)(100,106)(101,144)
        (104,134)(105,141)(108,114)(109,154)(110,135)(112,118)(113,157)(116,122)(117,158)(120,126)(121,153)(124,138)
        (125,137)(129,133)(132,147)(136,150)(140,145)(143,149)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 49)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 45)( 20, 41)( 22, 28)( 23, 69)( 24, 53)( 26, 32)( 27, 73)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 58)( 38, 44)( 39, 92)( 42, 61)( 43, 96)( 46, 52)( 47,107)( 48, 62)( 50, 56)( 51,111)( 54, 65)( 55,115)
        ( 59, 84)( 60, 81)( 63,103)( 64, 99)( 66, 72)( 67,135)( 68,119)( 70, 76)( 71,139)( 74, 80)( 75,143)( 78, 83)
        ( 79,147)( 82,123)( 85, 91)( 86,141)( 87,124)( 89, 95)( 90,137)( 93, 98)( 94,133)( 97,102)(100,127)(101,134)
        (104,110)(105,154)(106,128)(108,114)(109,155)(112,118)(113,158)(116,122)(117,153)(120,131)(121,130)(125,145)
        (126,148)(129,150)(132,138)(136,142)(140,146)(144,149)(151,157)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 49)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 45)( 20, 41)( 22, 28)( 23, 69)( 24, 53)( 26, 32)( 27, 73)( 30, 57)( 31, 77)( 34, 40)( 35, 89)
        ( 36, 58)( 38, 44)( 39, 93)( 42, 61)( 43, 97)( 46, 52)( 47,108)( 48, 62)( 50, 56)( 51,112)( 54, 65)( 55,116)
        ( 59, 85)( 60, 81)( 63,104)( 64,100)( 66, 72)( 67,135)( 68,120)( 70, 76)( 71,139)( 74, 80)( 75,143)( 78, 84)
        ( 79,147)( 82,124)( 83,148)( 86, 92)( 87,141)( 88,125)( 90, 96)( 91,137)( 94, 99)( 95,133)( 98,103)(101,127)
        (102,134)(105,111)(106,154)(107,128)(109,115)(110,157)(113,119)(114,158)(117,123)(118,153)(121,131)(122,130)
        (126,145)(129,150)(132,138)(136,142)(140,146)(144,149)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46, 99)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,127)( 63, 91)( 65, 71)( 66,131)( 70, 95)( 74,107)( 75,103)( 77, 83)( 78, 93)
        ( 79,119)( 81, 86)( 82, 89)( 85, 90)( 88, 94)( 92,123)( 97,102)( 98,132)(100,106)(101,140)(104,135)(105,142)
        (109,114)(110,136)(112,118)(113,151)(116,122)(117,154)(120,126)(121,157)(124,130)(125,148)(128,134)(129,144)
        (133,139)(137,150)(138,146)(141,145)(143,149)(147,158)(152,156)(153,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 43)( 39, 72)( 41, 47)( 42, 73)( 45, 76)( 46, 99)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58,115)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,134)( 74,102)( 78,107)( 79,103)
        ( 81, 87)( 82, 97)( 83,119)( 85, 90)( 86, 93)( 89, 94)( 92, 98)( 96,123)(100,106)(101,135)(104,138)(105,142)
        (108,114)(109,153)(110,139)(113,118)(116,122)(117,154)(120,126)(121,157)(124,130)(125,148)(128,133)(129,144)
        (132,137)(136,145)(140,150)(141,146)(143,149)(147,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 90)( 38, 44)( 39,102)( 40, 72)( 42, 48)( 43,106)( 46, 75)( 47,107)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,122)( 58, 79)( 59,126)( 62, 68)( 63,138)( 64, 94)( 66, 71)( 67,101)( 70, 74)( 73, 98)( 77,114)( 78,110)
        ( 80, 86)( 81, 96)( 82,130)( 84, 89)( 85, 92)( 88, 93)( 91, 97)( 95,134)( 99,105)(100,139)(103,109)(104,145)
        (108,113)(111,142)(112,146)(115,121)(116,153)(117,143)(119,125)(120,157)(123,129)(124,158)(127,133)(128,159)
        (131,137)(132,155)(135,141)(136,151)(140,148)(144,149)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 90)( 38, 43)( 39,102)( 40, 71)( 42, 47)( 45, 75)( 46,103)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,117)
        ( 57, 79)( 58,121)( 61, 67)( 62,133)( 63, 94)( 65, 70)( 66,137)( 69, 74)( 72, 98)( 73,138)( 77,110)( 78,106)
        ( 80, 86)( 81, 96)( 82,125)( 84, 89)( 85, 92)( 88, 93)( 91, 97)( 95,129)( 99,105)(100,145)(101,139)(104,109)
        (107,141)(108,146)(111,116)(112,157)(113,142)(115,120)(118,124)(119,158)(122,128)(123,159)(126,132)(127,155)
        (130,136)(131,151)(134,140)(135,148)(143,153)(144,149)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 90)( 38, 43)( 39,102)( 40, 72)( 42, 47)( 45, 75)( 46,103)( 49, 55)( 50,114)( 51, 76)( 53, 59)( 54,118)
        ( 57, 79)( 58,121)( 61, 67)( 62,133)( 63, 94)( 65, 71)( 66,137)( 69, 74)( 70,138)( 73, 98)( 77,110)( 78,106)
        ( 80, 86)( 81, 96)( 82,125)( 84, 89)( 85, 92)( 88, 93)( 91, 97)( 95,129)( 99,105)(100,145)(101,139)(104,109)
        (107,141)(108,146)(111,117)(112,157)(113,142)(115,120)(116,158)(119,124)(122,128)(123,159)(126,132)(127,155)
        (130,136)(131,151)(134,140)(135,148)(143,153)(144,149)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 98)( 45, 68)( 46,102)( 49, 55)( 50,113)( 51, 69)( 53, 59)( 54,117)
        ( 57, 72)( 58,121)( 61, 67)( 62,133)( 63, 87)( 66, 91)( 70,110)( 71,106)( 73, 79)( 74, 89)( 75,125)( 77, 82)
        ( 78, 85)( 81, 86)( 84, 90)( 88,129)( 92, 97)( 93,145)( 94,134)( 96,101)( 99,105)(100,146)(103,109)(104,147)
        (107,137)(108,143)(111,116)(112,138)(114,120)(115,154)(118,124)(119,155)(122,128)(123,157)(126,132)(127,158)
        (130,136)(131,151)(135,141)(139,153)(140,149)(142,148)(144,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 65)( 41, 47)( 42, 99)( 45, 68)( 46,102)( 49, 55)( 50,114)( 51, 69)( 53, 59)( 54,117)
        ( 57, 72)( 58,121)( 61, 67)( 62,133)( 63, 87)( 66, 91)( 70,110)( 71,106)( 73, 79)( 74, 89)( 75,125)( 77, 82)
        ( 78, 85)( 81, 86)( 84, 90)( 88,129)( 92, 98)( 93,145)( 94,134)( 96,101)( 97,146)(100,105)(103,109)(104,147)
        (107,137)(108,143)(111,116)(112,154)(113,138)(115,120)(118,124)(119,155)(122,128)(123,157)(126,132)(127,158)
        (130,136)(131,151)(135,141)(139,153)(140,149)(142,148)(144,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,103)( 46, 73)( 47,106)( 50, 56)( 51,118)( 52, 74)( 54, 60)
        ( 55,122)( 58, 77)( 59,126)( 62, 68)( 63,137)( 64, 92)( 67, 72)( 70, 96)( 71,138)( 75,114)( 76,110)( 78, 84)
        ( 79, 94)( 80,129)( 82, 87)( 83, 90)( 86, 91)( 89, 95)( 93,133)( 97,102)( 98,108)( 99,141)(101,105)(104,109)
        (107,113)(111,145)(112,142)(115,121)(116,154)(117,146)(119,125)(120,155)(123,128)(124,157)(127,132)(130,136)
        (131,158)(134,140)(135,151)(139,144)(143,152)(147,153)(148,149)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 83)
        ( 37, 67)( 38, 84)( 41, 47)( 42, 92)( 43, 68)( 45, 51)( 46, 95)( 49, 71)( 50, 99)( 53, 59)( 54,111)( 55, 72)
        ( 57, 62)( 58,115)( 61, 66)( 64, 75)( 65,116)( 69, 91)( 70, 87)( 73,107)( 74,103)( 76, 82)( 77,135)( 78,119)
        ( 80, 86)( 81,139)( 85, 90)( 88,123)( 89,140)( 93, 98)( 94,124)( 96,102)( 97,148)(100,106)(101,151)(104,127)
        (105,154)(108,114)(109,133)(110,128)(112,118)(113,158)(117,122)(120,131)(121,159)(125,147)(126,143)(129,137)
        (130,145)(132,138)(134,160)(136,142)(141,146)(144,155)(149,153)(150,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,104)( 53, 59)( 54,116)( 55, 73)
        ( 57, 63)( 58,117)( 61, 67)( 62,120)( 65, 76)( 66,124)( 70, 92)( 71, 88)( 74,112)( 75,108)( 77, 83)( 78,141)
        ( 79,127)( 81, 87)( 82,145)( 86, 91)( 89,130)( 90,146)( 93, 99)( 94,153)( 95,131)( 97,103)( 98,157)(101,107)
        (102,158)(105,111)(106,159)(109,133)(110,155)(113,119)(114,139)(115,134)(118,123)(121,126)(122,140)(125,129)
        (128,137)(132,149)(135,143)(136,151)(138,144)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,118)( 61, 67)( 62,122)( 65, 76)( 66,123)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,141)
        ( 79,126)( 81, 87)( 82,145)( 86, 91)( 89,129)( 90,146)( 93, 98)( 94,157)( 95,130)( 97,102)(100,106)(101,158)
        (104,110)(105,159)(108,133)(109,155)(112,117)(113,139)(114,134)(116,121)(119,125)(120,140)(124,128)(127,137)
        (131,153)(132,149)(135,143)(136,151)(138,144)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,118)( 61, 67)( 62,122)( 65, 76)( 66,125)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,141)
        ( 79,126)( 81, 87)( 82,145)( 86, 91)( 89,129)( 90,146)( 93, 99)( 94,157)( 95,130)( 97,102)( 98,158)(101,106)
        (104,110)(105,159)(108,133)(109,155)(112,117)(113,139)(114,134)(116,121)(119,124)(120,140)(123,128)(127,137)
        (131,153)(132,149)(135,143)(136,151)(138,144)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 95)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,120)( 65, 76)( 66,123)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,141)
        ( 79,126)( 81, 87)( 82,145)( 86, 91)( 89,130)( 90,146)( 93, 98)( 94,131)( 96,102)( 97,154)(100,106)(101,155)
        (104,110)(105,157)(108,134)(109,158)(112,118)(113,140)(114,135)(116,122)(117,128)(121,125)(124,129)(127,138)
        (132,153)(133,149)(136,143)(137,151)(139,144)(142,148)(147,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,122)( 65, 76)( 66,123)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,141)
        ( 79,126)( 81, 87)( 82,145)( 86, 91)( 89,130)( 90,146)( 93, 98)( 94,154)( 95,131)( 97,102)(100,106)(101,155)
        (104,110)(105,157)(108,134)(109,158)(112,118)(113,140)(114,135)(116,121)(117,128)(120,125)(124,129)(127,138)
        (132,153)(133,149)(136,143)(137,151)(139,144)(142,148)(147,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,104)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,122)( 65, 76)( 66,125)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,142)
        ( 79,129)( 81, 87)( 82,145)( 86, 91)( 89,133)( 90,146)( 93, 99)( 94,154)( 95,134)( 97,103)( 98,155)(101,106)
        (102,157)(105,110)(108,137)(109,158)(112,118)(113,131)(114,138)(116,121)(117,127)(120,124)(123,128)(126,132)
        (130,141)(135,153)(136,149)(139,144)(140,151)(143,148)(147,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 90)( 42, 68)( 44, 50)( 45, 94)( 48, 71)( 49, 98)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,110)( 60, 66)( 61,114)( 64, 75)( 65,118)( 69, 87)( 70, 83)( 73,106)( 74,102)( 77, 82)( 78,121)( 80, 86)
        ( 81,134)( 84,125)( 85,137)( 88, 93)( 89,126)( 91, 97)( 92,146)( 95,101)( 96,147)( 99,105)(100,149)(103,129)
        (104,150)(108,113)(109,130)(111,117)(112,154)(115,120)(116,157)(119,124)(122,133)(123,158)(127,145)(128,141)
        (131,153)(132,143)(135,140)(136,159)(138,144)(139,156)(142,151)(148,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 94)( 48, 71)( 49, 98)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,110)( 60, 66)( 61,114)( 64, 75)( 65,118)( 69, 87)( 70, 83)( 73,106)( 74,102)( 77, 82)( 78,122)( 80, 86)
        ( 81,134)( 84,125)( 85,137)( 88, 93)( 89,146)( 90,126)( 92, 97)( 95,101)( 96,147)( 99,105)(100,149)(103,129)
        (104,150)(108,113)(109,130)(111,117)(112,154)(115,121)(116,157)(119,124)(120,158)(123,133)(127,145)(128,141)
        (131,153)(132,143)(135,140)(136,159)(138,144)(139,156)(142,151)(148,152)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 61)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 53, 59)( 54,112)( 55, 69)
        ( 57, 63)( 58,115)( 62, 72)( 66, 92)( 67, 88)( 70,111)( 71,107)( 73, 79)( 74,131)( 75,116)( 77, 83)( 78,135)
        ( 81, 87)( 82,138)( 85, 91)( 86,141)( 89,119)( 90,145)( 93, 99)( 94,154)( 95,120)( 97,103)( 98,155)(101,106)
        (102,157)(105,110)(108,123)(109,158)(113,118)(114,124)(117,127)(121,153)(122,149)(125,130)(126,151)(128,134)
        (129,147)(132,137)(133,143)(136,140)(139,144)(142,148)(146,152)(150,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 69)( 27, 56)( 29, 35)( 30, 72)( 33, 60)( 34, 76)
        ( 37, 43)( 38, 61)( 41, 47)( 42, 84)( 45, 64)( 46, 88)( 49, 55)( 50,100)( 51, 65)( 53, 59)( 54,101)( 57, 68)
        ( 58,104)( 62, 87)( 63, 80)( 66, 96)( 67, 92)( 70, 75)( 71,108)( 73, 79)( 74,121)( 77, 83)( 78,124)( 81,112)
        ( 82,128)( 85, 91)( 86,113)( 89, 95)( 90,135)( 93,116)( 94,138)( 97,103)( 98,147)( 99,117)(102,107)(105,111)
        (106,148)(109,120)(110,150)(114,137)(115,131)(118,146)(119,142)(122,127)(123,154)(125,130)(126,158)(129,134)
        (132,140)(133,159)(136,141)(139,145)(143,152)(144,160)(149,153)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 95)( 39, 64)( 41, 46)( 44, 67)( 45, 96)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,111)( 56, 71)
        ( 57,115)( 60, 66)( 61,127)( 62, 87)( 65, 91)( 69,103)( 70, 99)( 72, 78)( 73,139)( 74,119)( 76, 82)( 77,143)
        ( 80, 86)( 81,144)( 84, 90)( 85,141)( 88,123)( 89,137)( 92, 98)( 93,151)( 94,128)( 97,102)(100,131)(101,152)
        (104,110)(105,147)(106,132)(108,114)(109,154)(112,118)(113,158)(116,122)(117,159)(120,135)(121,156)(124,130)
        (125,133)(126,146)(129,150)(134,153)(136,142)(138,149)(140,145)(148,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58, 79)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,112)( 73,116)( 74,125)( 77, 83)( 78,117)( 81, 87)
        ( 82,132)( 85, 91)( 86,135)( 89, 95)( 90,139)( 93,120)( 94,143)( 97,103)( 98,150)( 99,121)(101,107)(102,154)
        (105,111)(106,158)(109,115)(110,159)(113,124)(114,156)(118,134)(119,128)(122,146)(123,144)(126,131)(127,152)
        (129,137)(130,148)(133,138)(136,142)(140,145)(141,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46, 97)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58, 79)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,108)( 73,112)( 74,121)( 77, 83)( 78,113)( 81, 87)
        ( 82,128)( 85, 91)( 86,131)( 89, 95)( 90,135)( 93,116)( 94,139)( 98,103)( 99,117)(101,107)(102,147)(105,111)
        (106,148)(109,120)(110,150)(114,130)(115,124)(118,146)(119,142)(122,127)(123,154)(125,133)(126,158)(129,134)
        (132,138)(136,141)(137,159)(140,145)(143,152)(144,160)(149,153)(151,156)(155,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 63)( 32, 38)( 33, 76)( 36, 67)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 92)( 48, 71)( 49, 95)( 52, 58)( 53,107)( 54, 72)( 56, 62)
        ( 57,108)( 60, 66)( 61,111)( 64, 75)( 65,115)( 69, 87)( 70, 83)( 73,103)( 74, 99)( 77, 82)( 78,119)( 80, 86)
        ( 81,132)( 84,123)( 85,133)( 88, 94)( 89,143)( 90,124)( 93, 98)( 96,102)( 97,144)(100,127)(101,141)(104,110)
        (105,154)(106,128)(109,114)(112,118)(113,155)(116,122)(117,152)(120,131)(121,157)(125,139)(126,135)(129,150)
        (130,146)(134,138)(136,148)(137,158)(140,145)(142,149)(147,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 79)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 87)( 45, 51)( 46, 95)( 47, 72)( 49, 55)( 50, 98)( 53, 75)( 54,102)( 57, 63)
        ( 58,114)( 59, 83)( 61, 66)( 62,118)( 65, 70)( 68, 86)( 69,119)( 73, 94)( 74, 90)( 77, 82)( 78,106)( 80, 85)
        ( 81,131)( 84,110)( 88, 93)( 89,122)( 91,126)( 92,135)( 96,101)( 97,127)( 99,105)(100,143)(103,109)(104,145)
        (107,130)(108,149)(111,117)(112,153)(113,132)(115,121)(116,157)(120,125)(123,134)(124,158)(128,142)(129,138)
        (133,150)(136,141)(137,159)(139,147)(140,155)(144,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 76)( 34, 39)( 35, 87)
        ( 36, 68)( 38, 43)( 41, 71)( 42, 88)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,107)( 57, 63)
        ( 58,115)( 59, 79)( 61, 67)( 62,119)( 65, 70)( 66,122)( 69, 83)( 73, 95)( 74, 91)( 77, 82)( 78,108)( 80,111)
        ( 81,131)( 84, 90)( 85,138)( 86,123)( 89, 94)( 92,126)( 93,139)( 96,102)( 97,147)( 98,127)(100,106)(101,149)
        (104,110)(105,153)(109,130)(112,118)(113,157)(114,132)(116,121)(117,137)(120,125)(124,134)(128,146)(129,142)
        (133,154)(135,141)(136,158)(140,145)(143,151)(144,159)(148,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 94)( 46, 52)( 47,106)( 48, 73)( 50, 56)( 51,110)( 54, 76)( 55,114)
        ( 58, 63)( 59,122)( 60, 81)( 62, 67)( 65, 71)( 66,123)( 69, 84)( 70,126)( 74,102)( 75, 98)( 77, 83)( 78,139)
        ( 79,115)( 82,118)( 85, 90)( 86, 96)( 87,130)( 89, 93)( 92, 97)( 95,101)( 99,134)(100,131)(103,109)(104,147)
        (105,135)(107,113)(108,149)(111,117)(112,153)(116,138)(119,125)(120,157)(121,140)(124,129)(127,133)(128,158)
        (132,145)(136,146)(137,142)(141,154)(143,151)(144,159)(148,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 92)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 72)( 62,112)( 66, 80)( 67, 76)( 70, 96)( 71, 93)( 74, 79)( 75,116)( 77,120)( 78,128)( 81, 87)
        ( 82,136)( 83,121)( 85, 91)( 86,138)( 89, 95)( 90,142)( 94,124)( 97,103)( 98,146)( 99,125)(101,107)(102,150)
        (105,111)(106,154)(109,115)(110,158)(113,119)(114,159)(117,127)(118,156)(122,135)(123,131)(126,143)(129,134)
        (130,152)(132,140)(133,148)(137,141)(139,145)(144,149)(147,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 16)(  7, 32)(  8, 14)( 10, 20)( 11, 44)( 12, 17)( 15, 28)
        ( 18, 40)( 19, 36)( 21, 27)( 22, 60)( 23, 48)( 25, 31)( 26, 64)( 29, 35)( 30, 68)( 33, 39)( 34, 72)( 37, 52)
        ( 38, 76)( 41, 47)( 42, 88)( 43, 53)( 45, 51)( 46, 89)( 49, 56)( 50, 92)( 54, 84)( 55, 80)( 57, 63)( 58,108)
        ( 59, 96)( 61, 67)( 62,112)( 65, 71)( 66,116)( 69, 75)( 70,117)( 73, 79)( 74,120)( 77, 83)( 78,124)( 81,100)
        ( 82,128)( 85, 91)( 86,140)( 87,101)( 90, 95)( 93, 99)( 94,141)( 97,104)( 98,138)(102,136)(103,132)(105,111)
        (106,150)(107,143)(109,115)(110,154)(113,119)(114,158)(118,123)(121,127)(122,159)(125,131)(126,156)(129,135)
        (130,152)(133,145)(134,149)(137,142)(139,146)(144,147)(148,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 33)(  8, 14)( 10, 21)( 11, 45)( 12, 18)( 15, 29)
        ( 16, 26)( 19, 41)( 20, 37)( 22, 28)( 23, 65)( 24, 49)( 27, 53)( 30, 36)( 31, 73)( 32, 54)( 34, 40)( 35, 76)
        ( 38, 57)( 39, 80)( 42, 48)( 43, 92)( 44, 58)( 46, 52)( 47, 93)( 50, 61)( 51, 96)( 55, 69)( 56, 66)( 59, 88)
        ( 60, 84)( 62, 68)( 63,116)( 64,100)( 67,104)( 70, 75)( 71,123)( 72,105)( 74, 79)( 77, 83)( 78,124)( 81, 87)
        ( 82,127)( 85,108)( 86,131)( 89, 95)( 90,140)( 91,109)( 94, 99)( 97,103)( 98,141)(101,112)(102,143)(106,120)
        (107,117)(110,139)(111,135)(113,119)(114,157)(115,147)(118,150)(121,126)(122,151)(125,130)(128,134)(129,152)
        (132,138)(133,159)(136,145)(137,156)(142,146)(144,149)(148,154)(153,158)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 75)( 28, 53)( 30, 36)( 31, 79)( 34, 57)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 68)( 43, 92)( 46, 52)( 47, 99)( 48, 69)( 50, 56)( 51,103)( 54, 71)( 55,107)
        ( 58, 64)( 59, 94)( 60, 87)( 63, 67)( 66, 91)( 70, 95)( 72, 78)( 73,119)( 74,111)( 76, 82)( 77,122)( 80, 86)
        ( 81,126)( 84, 90)( 85,130)( 88, 97)( 89,134)( 93, 98)( 96,102)(100,106)(101,135)(104,110)(105,138)(108,114)
        (109,142)(112,115)(113,146)(116,121)(117,154)(118,147)(120,125)(123,129)(124,155)(127,133)(128,152)(131,137)
        (132,157)(136,141)(139,145)(140,158)(143,149)(144,159)(148,150)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 69)( 43, 94)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,112)
        ( 58, 64)( 59,120)( 60, 89)( 62, 68)( 63,124)( 67, 93)( 71,100)( 72, 97)( 74, 80)( 75,131)( 76,116)( 78, 84)
        ( 79,134)( 82, 88)( 83,137)( 86, 92)( 87,141)( 90,102)( 91,145)( 95, 99)( 96,125)( 98,122)(101,107)(103,123)
        (105,111)(106,146)(109,115)(110,149)(113,119)(114,153)(117,127)(118,154)(121,126)(128,133)(129,139)(130,157)
        (132,136)(135,140)(138,144)(142,148)(143,158)(147,152)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 77)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 43)( 39, 68)( 41, 47)( 42, 93)( 45, 72)( 46, 95)( 49, 55)( 50,106)( 51, 73)( 53, 59)( 54,110)
        ( 57, 76)( 58,114)( 61, 67)( 62,126)( 63, 88)( 66, 71)( 69, 92)( 70,127)( 74,102)( 75, 99)( 78, 83)( 79,118)
        ( 81, 87)( 82,131)( 85, 91)( 86,134)( 89,122)( 90,138)( 94, 98)( 96,101)( 97,128)(100,124)(103,109)(104,139)
        (105,125)(107,113)(108,142)(111,117)(112,146)(115,121)(116,150)(119,130)(120,151)(123,129)(132,137)(133,154)
        (135,141)(136,159)(140,145)(143,149)(144,160)(147,153)(148,156)(152,157)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 75)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 91)( 45, 68)( 46, 94)( 49, 55)( 50,102)( 51, 69)( 53, 59)( 54,106)
        ( 57, 71)( 58,110)( 61, 67)( 62,122)( 63, 83)( 66, 87)( 70, 98)( 73, 78)( 74,114)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84,118)( 85,134)( 89, 93)( 90,123)( 92, 97)( 95,101)( 96,124)( 99,105)(100,120)(103,109)(104,139)
        (107,113)(108,142)(111,117)(112,146)(115,126)(116,150)(119,125)(121,138)(128,133)(129,151)(131,137)(132,155)
        (135,141)(136,157)(140,145)(143,149)(144,158)(147,153)(148,159)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 55)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 90)( 39, 64)( 41, 47)( 42, 94)( 45, 67)( 46, 95)( 49, 54)( 50,106)( 51, 68)( 53, 58)( 56, 71)
        ( 57,107)( 60, 66)( 61,118)( 62, 83)( 65, 87)( 69,102)( 70, 98)( 73, 78)( 74,110)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84,114)( 85,133)( 88, 93)( 89,119)( 91, 97)( 92,142)( 96,101)( 99,122)(100,143)(103,109)(104,153)
        (105,123)(108,113)(111,126)(112,154)(115,121)(116,147)(117,137)(120,141)(124,149)(125,145)(128,132)(129,157)
        (131,136)(134,140)(135,158)(138,146)(139,152)(144,148)(150,156)(151,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 43)( 39, 70)( 41, 47)( 42, 95)( 45, 74)( 46, 96)( 49, 54)( 50,106)( 51, 75)( 53, 58)( 56, 78)
        ( 57,107)( 60, 65)( 61,118)( 62, 90)( 64, 69)( 67, 73)( 68,119)( 71, 94)( 72,122)( 76,102)( 77, 98)( 80, 85)
        ( 81,110)( 83, 89)( 84,131)( 87, 93)( 88,134)( 91,114)( 92,137)( 97,101)( 99,126)(100,123)(103,109)(104,153)
        (105,127)(108,113)(111,130)(112,154)(115,121)(116,147)(117,141)(120,125)(124,148)(128,149)(129,145)(132,136)
        (133,157)(135,140)(138,144)(139,158)(142,151)(143,159)(146,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,107)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,126)( 62, 68)( 63,134)( 64, 96)( 66, 72)( 67,138)( 70, 75)( 71,142)( 74,100)( 78,115)
        ( 79,111)( 81, 87)( 82,150)( 83,130)( 85, 91)( 86,151)( 89, 95)( 90,148)( 93, 99)( 94,153)( 97,117)( 98,157)
        (102,106)(103,143)(105,110)(108,114)(109,144)(112,136)(113,140)(116,122)(118,137)(120,125)(121,158)(124,129)
        (127,133)(128,159)(131,146)(132,155)(135,141)(139,145)(147,152)(149,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,107)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,120)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 96)( 66, 72)( 67,138)( 70, 75)( 71,142)( 74,100)( 78,115)
        ( 79,111)( 81, 87)( 82,150)( 83,127)( 85, 91)( 86,151)( 89, 95)( 90,148)( 93, 99)( 94,153)( 97,131)( 98,157)
        (102,106)(103,143)(105,110)(108,114)(109,144)(112,133)(113,140)(116,122)(117,158)(118,134)(121,126)(124,130)
        (125,159)(128,146)(129,155)(132,137)(136,141)(139,145)(147,152)(149,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 43)( 26, 31)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 94)( 39, 70)( 41, 46)( 44, 74)( 45, 95)( 48, 54)( 49,106)( 50, 75)( 52, 58)( 53,110)( 56, 78)
        ( 57,114)( 60, 66)( 61,125)( 62, 86)( 64, 69)( 65,129)( 68, 73)( 71, 90)( 72,130)( 76,102)( 77, 98)( 80, 85)
        ( 81,118)( 83, 89)( 84,138)( 87,121)( 88,141)( 91, 97)( 92,149)( 93,131)( 96,101)( 99,133)(100,150)(103,109)
        (104,146)(105,134)(107,113)(108,153)(111,117)(112,154)(115,120)(116,157)(119,137)(122,128)(123,135)(124,145)
        (126,132)(127,152)(136,151)(139,144)(140,158)(142,148)(143,159)(147,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 54)
        ( 15, 25)( 17, 28)( 18, 55)( 22, 39)( 23, 35)( 26, 50)( 27, 46)( 29, 34)( 30, 58)( 32, 38)( 33, 71)( 36, 62)
        ( 37, 74)( 40, 45)( 41, 86)( 42, 63)( 44, 49)( 47, 66)( 48, 87)( 51, 57)( 52, 98)( 53, 67)( 56, 61)( 59, 70)
        ( 60, 99)( 64, 82)( 65, 78)( 68, 94)( 69, 90)( 72, 77)( 73,102)( 75, 81)( 76,115)( 79,106)( 80,118)( 83, 89)
        ( 84,130)( 85,107)( 88, 93)( 91,110)( 92,131)( 95,101)( 96,142)( 97,111)(100,105)(103,114)(104,143)(108,126)
        (109,122)(112,138)(113,134)(116,121)(117,146)(119,125)(120,147)(123,150)(124,157)(127,133)(128,136)(129,151)
        (132,137)(135,154)(139,145)(140,159)(141,155)(144,149)(148,160)(152,156)(153,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 95)( 48, 54)( 49,106)( 50, 68)( 52, 58)( 53,110)( 56, 71)
        ( 57,114)( 60, 66)( 61,122)( 62, 87)( 65, 91)( 69,102)( 70, 98)( 72, 78)( 73,127)( 74,115)( 76, 82)( 77,130)
        ( 80, 86)( 81,134)( 84, 90)( 85,138)( 88,118)( 89,142)( 93, 97)( 94,123)( 96,101)( 99,120)(100,124)(103,109)
        (104,143)(105,121)(107,113)(108,146)(111,117)(112,150)(116,126)(119,125)(128,133)(129,151)(131,137)(132,155)
        (135,141)(136,156)(139,145)(140,158)(144,149)(147,153)(148,159)(152,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 94)( 39, 64)( 41, 46)( 44, 67)( 45, 95)( 48, 54)( 49,106)( 50, 68)( 52, 58)( 53,110)( 56, 71)
        ( 57,114)( 60, 66)( 61,122)( 62, 87)( 65, 91)( 69,102)( 70, 98)( 72, 78)( 73,130)( 74,115)( 76, 82)( 77,131)
        ( 80, 86)( 81,134)( 84, 90)( 85,138)( 88,118)( 89,142)( 92, 97)( 93,123)( 96,101)( 99,120)(100,124)(103,109)
        (104,143)(105,121)(107,113)(108,146)(111,117)(112,150)(116,126)(119,125)(127,133)(128,155)(129,151)(132,137)
        (135,141)(136,156)(139,145)(140,158)(144,149)(147,153)(148,159)(152,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 72)( 27, 55)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 88)( 44, 67)( 45, 91)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,111)( 60, 66)( 61,119)( 62, 83)( 65, 87)( 69, 99)( 70, 95)( 73, 78)( 74,112)( 76, 82)( 77,128)( 80, 86)
        ( 81,131)( 84,115)( 85,135)( 89, 94)( 90,120)( 92, 98)( 93,144)( 96,123)( 97,145)(100,106)(101,140)(102,124)
        (104,110)(105,147)(108,114)(109,151)(113,127)(116,122)(117,125)(118,139)(121,143)(126,146)(129,134)(130,152)
        (132,138)(133,156)(136,142)(137,158)(141,150)(148,154)(149,159)(153,155)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 37)( 11, 21)( 13, 19)( 14, 48)
        ( 15, 25)( 17, 28)( 18, 52)( 22, 36)( 23, 32)( 26, 44)( 27, 40)( 30, 35)( 31, 55)( 33, 59)( 34, 68)( 38, 43)
        ( 39, 60)( 41, 63)( 42, 76)( 45, 51)( 46, 87)( 47, 64)( 49, 54)( 50, 91)( 53, 58)( 56, 67)( 57, 92)( 61, 75)
        ( 62, 71)( 65, 83)( 66, 79)( 69, 74)( 70, 95)( 72, 99)( 73,108)( 77, 82)( 78,100)( 80,103)( 81,116)( 84, 90)
        ( 85,127)( 86,104)( 88, 94)( 89,131)( 93, 98)( 96,107)( 97,132)(101,115)(102,111)(105,123)(106,119)(109,114)
        (110,135)(112,139)(113,144)(117,122)(118,140)(120,126)(121,151)(124,130)(125,154)(128,134)(129,157)(133,138)
        (136,143)(137,158)(141,150)(142,146)(145,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 82)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39, 71)( 41, 46)( 42, 99)( 45, 74)( 48, 54)( 49, 65)( 50, 75)( 52, 58)( 53, 61)( 56, 78)
        ( 57, 95)( 60, 66)( 62, 94)( 64, 70)( 68, 73)( 69, 76)( 72, 98)( 77,100)( 79, 85)( 80,109)( 81,101)( 83, 89)
        ( 84,113)( 87, 93)( 88,117)( 91, 97)( 92,121)( 96,104)(102,105)(103,122)(106,112)(107,133)(108,125)(110,116)
        (111,137)(114,120)(115,141)(118,124)(119,145)(123,128)(126,129)(127,146)(130,136)(131,154)(132,149)(134,140)
        (135,155)(138,144)(139,157)(142,148)(143,158)(147,152)(150,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 93)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,132)( 63, 88)( 65, 71)( 66,136)( 69, 75)( 70,140)( 73, 92)( 74,141)( 78,108)
        ( 79,104)( 81, 87)( 82, 90)( 83,124)( 86, 91)( 89,128)( 94, 99)( 95,142)( 97,103)( 98,138)(101,107)(102,134)
        (105,144)(106,130)(109,115)(110,152)(111,145)(113,119)(114,155)(117,123)(118,158)(121,127)(122,151)(125,131)
        (126,147)(129,135)(133,139)(137,143)(146,148)(149,154)(150,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,104)( 53, 59)( 54,116)( 55, 73)
        ( 57, 63)( 58,120)( 61, 67)( 62,124)( 65, 76)( 66,128)( 70, 92)( 71, 88)( 74,112)( 75,108)( 77, 83)( 78,114)
        ( 79,132)( 81, 87)( 82,142)( 86, 91)( 89,136)( 90,143)( 93, 99)( 94,148)( 95,137)( 97,103)( 98,151)(101,107)
        (102,154)(105,111)(106,147)(109,140)(110,139)(113,119)(115,141)(117,123)(118,133)(121,127)(122,157)(125,131)
        (126,158)(129,135)(130,159)(134,160)(138,144)(145,150)(146,155)(149,153)(152,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 30)( 18, 32)( 19, 60)( 23, 44)( 24, 40)( 26, 31)( 27, 59)( 28, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 68)( 42, 88)( 45, 51)( 46,100)( 47, 69)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58, 73)( 61, 67)( 62,116)( 65, 76)( 66,120)( 70, 96)( 71, 92)( 74,119)( 75,112)( 77, 83)( 78,137)( 79,124)
        ( 81, 87)( 82,138)( 85, 91)( 86,140)( 89, 95)( 90,144)( 93,128)( 94,135)( 97,103)( 98,152)( 99,129)(101,107)
        (102,155)(105,111)(106,158)(109,115)(110,151)(113,132)(114,131)(117,123)(118,133)(121,127)(122,146)(125,136)
        (126,142)(130,148)(134,145)(139,143)(141,147)(149,154)(150,159)(153,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 93)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,123)( 60, 88)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 92)( 71,132)( 75,100)( 76, 96)( 78, 84)
        ( 79, 90)( 80,115)( 83, 87)( 86, 91)( 89,119)( 94, 99)( 95,135)( 97,139)( 98,144)(101,106)(102,155)(103,140)
        (105,110)(108,114)(109,156)(112,118)(113,153)(116,122)(117,158)(120,126)(121,149)(124,130)(125,146)(128,134)
        (129,137)(133,138)(136,143)(141,151)(142,147)(145,150)(148,159)(152,157)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 93)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,123)( 60, 88)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 92)( 71,132)( 75,100)( 76, 96)( 78, 83)
        ( 79, 90)( 80,115)( 82, 87)( 86, 91)( 89,119)( 94, 99)( 95,135)( 97,139)( 98,144)(101,106)(102,155)(103,140)
        (105,110)(108,114)(109,156)(112,118)(113,153)(116,122)(117,158)(120,126)(121,149)(124,130)(125,146)(128,134)
        (129,137)(133,138)(136,143)(141,151)(142,147)(145,150)(148,159)(152,157)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 82)
        ( 36, 65)( 38, 44)( 39, 85)( 42, 69)( 43, 89)( 46, 52)( 47,101)( 48, 70)( 50, 56)( 51,104)( 54, 73)( 55,108)
        ( 58, 64)( 59,120)( 60, 77)( 63, 68)( 66, 81)( 67,121)( 71, 97)( 72, 93)( 75, 80)( 76,112)( 78,116)( 79,133)
        ( 83, 88)( 84,124)( 86, 92)( 87,125)( 90, 96)( 91,139)( 94,128)( 95,143)( 98,103)( 99,155)(100,129)(102,107)
        (105,111)(106,156)(109,115)(110,153)(113,132)(114,158)(117,123)(118,141)(119,136)(122,127)(126,142)(130,151)
        (131,147)(134,138)(135,149)(137,145)(140,146)(144,150)(148,159)(152,157)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 30)( 18, 32)( 19, 60)( 23, 44)( 24, 40)( 26, 31)( 27, 59)( 28, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 68)( 42, 88)( 45, 51)( 46,100)( 47, 69)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58, 73)( 61, 67)( 62,115)( 65, 76)( 66,119)( 70, 96)( 71, 92)( 74,118)( 75,111)( 77, 83)( 78,135)( 79,120)
        ( 81, 87)( 82,136)( 85, 91)( 86,139)( 89, 95)( 90,140)( 93,123)( 94,143)( 97,102)( 98,155)( 99,124)(101,106)
        (104,110)(105,156)(108,114)(109,153)(112,127)(113,158)(116,122)(117,128)(121,131)(125,151)(126,147)(129,134)
        (130,149)(132,138)(133,145)(137,142)(141,146)(144,150)(148,159)(152,157)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 49)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 45)( 20, 41)( 22, 28)( 23, 65)( 24, 53)( 26, 32)( 27, 69)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 57)( 43, 85)( 46, 52)( 47, 97)( 48, 58)( 50, 56)( 51,100)( 54, 61)( 55,104)( 59, 93)
        ( 60, 89)( 62, 68)( 63,119)( 64,108)( 66, 72)( 67,123)( 70, 76)( 71,127)( 74, 80)( 75,131)( 78, 84)( 79,132)
        ( 82, 88)( 83,135)( 86, 92)( 87,139)( 90,112)( 91,143)( 94, 99)( 95,155)( 96,113)( 98,103)(101,107)(102,156)
        (105,111)(106,153)(109,116)(110,158)(114,151)(115,147)(117,122)(118,149)(120,126)(121,145)(124,130)(125,141)
        (128,134)(129,137)(133,138)(136,142)(140,146)(144,150)(148,159)(152,157)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 73)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 64)( 41, 68)( 42, 85)( 45, 51)( 46, 95)( 47, 69)( 49, 55)( 50, 99)( 53, 72)( 54,103)( 57, 63)
        ( 58,114)( 59, 80)( 62, 67)( 65, 84)( 66,115)( 70, 92)( 71, 88)( 74, 79)( 75,107)( 77, 83)( 78,127)( 81,110)
        ( 82,130)( 86, 91)( 87,118)( 89,122)( 90,135)( 93, 98)( 94,123)( 96,102)( 97,143)(100,106)(101,145)(104,109)
        (105,149)(108,126)(111,117)(112,157)(113,131)(116,121)(119,134)(120,158)(124,142)(125,138)(128,133)(129,150)
        (132,153)(136,141)(137,159)(139,147)(140,155)(144,148)(146,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 82)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 69)( 42, 73)( 43, 94)( 46, 52)( 47,105)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,112)
        ( 58, 64)( 59,124)( 60, 89)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 93)( 71,136)( 75,101)( 76, 97)( 78, 84)
        ( 79, 87)( 80,116)( 83, 88)( 86, 92)( 90,120)( 91,117)( 95,100)( 96,139)( 98,143)( 99,152)(102,108)(103,148)
        (104,144)(106,111)(107,158)(110,115)(113,119)(114,159)(118,150)(121,127)(122,145)(123,147)(125,131)(126,156)
        (129,135)(130,154)(133,138)(134,141)(137,142)(140,151)(146,155)(149,160)(153,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 85)( 45, 51)( 46, 95)( 47, 73)( 49, 55)( 50, 99)( 53, 76)( 54,102)( 57, 63)
        ( 58,114)( 59, 81)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 84)( 70,123)( 74, 92)( 75, 88)( 78, 83)( 79,106)
        ( 82,110)( 86, 91)( 87,126)( 89,130)( 90,135)( 93, 98)( 94,131)( 96,101)( 97,143)(100,105)(103,109)(104,144)
        (107,113)(108,146)(111,117)(112,150)(115,121)(116,153)(119,125)(120,157)(124,129)(127,134)(128,158)(132,142)
        (133,138)(136,141)(137,159)(139,148)(140,155)(145,149)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 69)( 43, 94)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,112)
        ( 58, 64)( 59,120)( 60, 89)( 62, 68)( 63,124)( 67, 93)( 71,100)( 72, 97)( 74, 80)( 75,131)( 76,116)( 78, 84)
        ( 79,132)( 82, 88)( 83,135)( 86, 92)( 87,139)( 90,102)( 91,143)( 95, 99)( 96,125)( 98,122)(101,107)(103,123)
        (105,111)(106,144)(109,115)(110,147)(113,119)(114,151)(117,127)(118,154)(121,126)(128,134)(129,137)(130,157)
        (133,138)(136,142)(140,146)(141,158)(145,150)(148,153)(149,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 51)( 16, 30)( 18, 32)( 19, 55)( 23, 40)( 24, 36)( 26, 31)( 27, 54)( 28, 48)( 34, 39)( 35, 59)( 37, 63)
        ( 38, 72)( 41, 47)( 42, 83)( 43, 64)( 45, 50)( 46, 87)( 49, 67)( 52, 58)( 53, 68)( 56, 62)( 57, 91)( 60, 71)
        ( 61, 95)( 65, 79)( 66, 75)( 69, 94)( 70, 88)( 73, 78)( 74, 99)( 76,103)( 77,112)( 80, 86)( 81,122)( 82,104)
        ( 84, 90)( 85,126)( 89,107)( 92, 98)( 93,108)( 96,102)( 97,130)(100,111)(101,134)(105,119)(106,115)(109,133)
        (110,127)(113,118)(114,138)(116,142)(117,150)(120,125)(121,143)(123,129)(124,154)(128,145)(131,137)(132,146)
        (135,141)(136,157)(139,149)(140,158)(144,153)(147,160)(148,155)(151,156)(152,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 69)( 42, 47)( 43, 97)( 46, 72)( 49, 55)( 50, 66)( 51, 73)( 53, 59)( 54, 62)
        ( 57, 76)( 58, 93)( 61, 67)( 63, 92)( 65, 71)( 70, 74)( 75, 98)( 77, 83)( 78,107)( 79, 99)( 81, 87)( 82,111)
        ( 85, 91)( 86,115)( 89, 95)( 90,119)( 94,102)(100,103)(101,120)(104,110)(105,131)(106,123)(108,114)(109,135)
        (112,118)(113,139)(116,122)(117,143)(121,126)(124,127)(125,144)(128,134)(129,152)(130,147)(132,138)(133,153)
        (136,142)(137,155)(140,146)(141,158)(145,150)(148,151)(149,159)(154,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 90)( 39, 72)( 41, 47)( 42, 94)( 45, 75)( 46, 98)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,114)
        ( 57, 79)( 58,118)( 61, 67)( 62,130)( 63, 84)( 65, 71)( 66,134)( 69, 74)( 70,138)( 73, 87)( 77,106)( 78,102)
        ( 81, 86)( 82,122)( 85,126)( 88, 93)( 89,139)( 91, 97)( 92,140)( 95,101)( 96,136)( 99,105)(100,132)(103,142)
        (104,128)(107,113)(108,150)(109,143)(111,117)(112,154)(115,121)(116,157)(119,125)(120,149)(123,129)(124,145)
        (127,133)(131,137)(135,141)(144,146)(147,153)(148,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 83)( 34, 60)
        ( 37, 43)( 38, 90)( 39, 72)( 41, 47)( 42, 94)( 45, 75)( 46, 98)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,114)
        ( 57, 79)( 58,118)( 61, 67)( 62,130)( 63, 84)( 65, 71)( 66,134)( 69, 74)( 70,138)( 73, 87)( 77,106)( 78,102)
        ( 81, 86)( 82,122)( 85,126)( 88, 93)( 89,139)( 91, 97)( 92,140)( 95,101)( 96,136)( 99,105)(100,132)(103,142)
        (104,128)(107,113)(108,150)(109,143)(111,117)(112,154)(115,121)(116,157)(119,125)(120,149)(123,129)(124,145)
        (127,133)(131,137)(135,141)(144,146)(147,153)(148,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 54, 59)( 55, 69)( 57, 63)
        ( 58,113)( 61, 72)( 62,116)( 66, 92)( 67, 88)( 70,112)( 71,108)( 73, 79)( 74,133)( 75,120)( 77, 83)( 78,135)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89,124)( 90,131)( 93, 99)( 94,150)( 95,125)( 97,103)( 98,154)(101,107)
        (102,157)(105,111)(106,149)(109,128)(110,127)(114,119)(115,129)(117,123)(118,144)(121,132)(122,140)(126,146)
        (130,143)(134,137)(136,141)(139,145)(147,153)(148,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 28)( 17, 32)( 18, 57)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 58, 63)
        ( 59, 72)( 61, 76)( 62,117)( 66, 96)( 67, 92)( 70, 75)( 71,112)( 73,116)( 74,129)( 77, 83)( 78,137)( 79,120)
        ( 81, 87)( 82,139)( 85, 91)( 86,142)( 89, 95)( 90,134)( 93,124)( 94,131)( 97,103)( 98,150)( 99,125)(101,107)
        (102,154)(105,111)(106,157)(109,115)(110,149)(113,128)(114,127)(118,123)(119,132)(121,136)(122,144)(126,146)
        (130,135)(133,143)(138,141)(140,145)(147,153)(148,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 80)( 28, 52)( 30, 35)( 33, 56)( 34, 81)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,120)( 59, 84)( 61, 67)( 62,124)( 65, 71)( 66,128)( 69, 88)( 70,131)( 74, 96)( 75, 92)( 77, 83)( 78, 86)
        ( 79,112)( 82, 87)( 85,116)( 90, 95)( 91,134)( 93,138)( 94,143)( 97,103)( 98,154)( 99,139)(101,107)(102,155)
        (105,111)(106,156)(109,115)(110,152)(113,119)(114,158)(117,123)(118,148)(121,127)(122,145)(125,130)(126,136)
        (129,133)(132,137)(135,142)(140,150)(141,146)(144,149)(147,159)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 55)( 29, 34)( 32, 59)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 64)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,111)( 56, 71)
        ( 57,115)( 60, 66)( 61,127)( 62, 79)( 65, 83)( 69,103)( 70, 99)( 72, 78)( 73, 81)( 74,119)( 77, 82)( 80,123)
        ( 84, 90)( 85,139)( 86,128)( 88, 94)( 89,143)( 92, 98)( 93,144)( 96,102)( 97,141)(100,131)(101,137)(104,110)
        (105,154)(106,132)(108,114)(109,155)(112,118)(113,152)(116,122)(117,157)(120,126)(121,158)(124,130)(125,148)
        (129,135)(133,150)(134,146)(136,142)(138,149)(140,145)(147,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 61)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,115)( 55, 69)
        ( 57, 63)( 58,119)( 62, 72)( 66, 92)( 67, 88)( 70,111)( 71,107)( 73, 79)( 74,130)( 75,120)( 77, 83)( 78,133)
        ( 81, 87)( 82,137)( 85, 91)( 86,141)( 89,122)( 90,142)( 93, 98)( 94,123)( 96,102)( 97,150)(100,106)(101,153)
        (104,110)(105,154)(108,126)(109,157)(112,118)(113,135)(114,127)(116,121)(117,132)(124,149)(125,145)(128,139)
        (129,147)(131,136)(134,140)(138,144)(143,148)(146,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 39)(  8, 16)( 10, 23)( 11, 51)( 12, 20)( 14, 18)
        ( 15, 31)( 17, 35)( 21, 47)( 22, 43)( 24, 30)( 25, 67)( 26, 55)( 28, 34)( 29, 71)( 32, 38)( 33, 75)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 59)( 45, 87)( 48, 54)( 49, 99)( 50, 60)( 52, 58)( 53,103)( 56, 63)( 57,107)
        ( 61, 95)( 62, 91)( 64, 70)( 65,120)( 66,111)( 68, 74)( 69,123)( 72, 78)( 73,127)( 76, 82)( 77,131)( 80, 86)
        ( 81,132)( 84, 90)( 85,135)( 88, 94)( 89,138)( 92,115)( 93,142)( 96,102)( 97,154)( 98,116)(100,106)(101,155)
        (104,110)(105,156)(108,114)(109,152)(112,119)(113,158)(117,150)(118,146)(121,126)(122,148)(124,130)(125,144)
        (128,134)(129,140)(133,137)(136,141)(139,145)(143,149)(147,159)(151,157)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 33)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 34, 63)( 37, 43)
        ( 38, 84)( 39, 60)( 41, 47)( 42, 87)( 45, 64)( 46, 91)( 49, 55)( 50,103)( 51, 65)( 53, 59)( 54,107)( 57, 68)
        ( 58,111)( 61, 80)( 62, 77)( 66, 99)( 67, 95)( 69, 75)( 70,128)( 71,115)( 73, 79)( 74,131)( 78,122)( 81, 86)
        ( 82,139)( 83,119)( 85, 90)( 88, 94)( 89,140)( 92, 98)( 93,137)( 96,123)( 97,142)(100,106)(101,154)(102,124)
        (104,110)(105,155)(108,114)(109,152)(112,118)(113,157)(116,127)(117,158)(120,135)(121,132)(125,150)(126,146)
        (129,134)(130,148)(133,144)(136,141)(138,145)(143,149)(147,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 94)( 43, 65)( 45, 51)( 46, 98)( 49, 68)( 50,102)( 54, 59)( 55, 69)( 57, 63)
        ( 58,111)( 61, 72)( 62,114)( 66, 91)( 67, 87)( 70,110)( 71,106)( 73, 78)( 74,134)( 75,118)( 77, 82)( 80, 86)
        ( 81,135)( 84, 90)( 85,132)( 88,122)( 89,137)( 92, 97)( 93,123)( 95,101)( 96,146)( 99,105)(100,149)(103,109)
        (104,150)(107,126)(108,153)(112,117)(113,127)(115,121)(116,158)(119,130)(120,159)(124,145)(125,141)(128,157)
        (129,143)(131,136)(133,140)(138,144)(139,160)(142,154)(147,152)(148,155)(151,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 28)( 17, 32)( 18, 57)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 83)( 41, 64)( 42, 87)( 45, 51)( 46, 98)( 47, 65)( 49, 55)( 50,102)( 53, 68)( 54,106)( 58, 63)
        ( 59, 72)( 61, 76)( 62,115)( 66, 95)( 67, 91)( 70, 75)( 71,110)( 73,114)( 74,127)( 77, 82)( 78,138)( 79,118)
        ( 81, 86)( 84, 90)( 85,139)( 88, 94)( 89,136)( 92,122)( 93,141)( 96,101)( 97,123)( 99,105)(100,150)(103,109)
        (104,153)(107,113)(108,154)(111,126)(112,157)(116,121)(117,130)(119,134)(120,131)(124,149)(125,145)(128,133)
        (129,147)(132,143)(135,140)(137,144)(142,148)(146,158)(151,156)(152,159)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 75)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 54, 59)( 55, 69)( 57, 63)
        ( 58,112)( 61, 72)( 62,115)( 66, 91)( 67, 87)( 70,111)( 71,107)( 73, 78)( 74,119)( 76, 82)( 77,131)( 80, 86)
        ( 81,134)( 84, 90)( 85,135)( 88,122)( 89,138)( 92, 98)( 93,150)( 94,123)( 96,102)( 97,151)(100,106)(101,152)
        (104,110)(105,148)(108,126)(109,154)(113,118)(114,127)(116,121)(117,158)(120,130)(124,146)(125,142)(128,157)
        (129,144)(132,137)(133,159)(136,141)(139,145)(140,160)(143,155)(147,153)(149,156),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 67)( 24, 52)( 26, 32)( 27, 71)( 30, 56)( 31, 75)( 34, 39)( 35, 57)
        ( 37, 43)( 38, 84)( 41, 60)( 42, 87)( 45, 51)( 46, 99)( 47, 61)( 49, 55)( 50,103)( 53, 64)( 54,107)( 58, 83)
        ( 59, 79)( 62, 95)( 63, 91)( 65, 70)( 66,111)( 68, 74)( 69,124)( 72, 78)( 73,127)( 76, 82)( 77,131)( 80,115)
        ( 81,135)( 85, 90)( 86,116)( 88, 94)( 89,139)( 92,119)( 93,142)( 96,102)( 97,154)( 98,120)(100,106)(101,155)
        (104,110)(105,152)(108,114)(109,157)(112,123)(113,158)(117,138)(118,136)(121,150)(122,146)(125,130)(126,148)
        (128,134)(129,144)(132,137)(133,141)(140,145)(143,149)(147,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 74)( 27, 55)( 29, 35)( 30, 78)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 91)( 44, 67)( 45, 94)( 48, 54)( 49,106)( 50, 68)( 52, 58)( 53,110)( 56, 71)
        ( 57,114)( 60, 66)( 61,126)( 62, 86)( 65, 90)( 69,102)( 70, 98)( 72, 77)( 73,118)( 75, 81)( 76,135)( 79, 85)
        ( 80,138)( 83, 89)( 84,139)( 87,122)( 88,142)( 92, 97)( 93,127)( 95,101)( 96,128)( 99,130)(100,124)(103,109)
        (104,153)(105,131)(107,113)(108,157)(111,117)(112,158)(115,121)(116,159)(119,134)(120,155)(123,129)(125,146)
        (132,149)(133,147)(136,141)(137,151)(140,145)(143,148)(144,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 78)( 33, 59)( 34, 82)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 91)( 44, 67)( 45, 94)( 48, 54)( 49,106)( 50, 68)( 52, 58)( 53,110)( 56, 71)
        ( 57,114)( 60, 66)( 61,126)( 62, 86)( 65, 90)( 69,102)( 70, 98)( 72, 77)( 73,138)( 74,118)( 76, 81)( 79, 85)
        ( 80,139)( 83, 89)( 84,140)( 87,122)( 88,136)( 92, 97)( 93,127)( 95,101)( 96,147)( 99,130)(100,148)(103,109)
        (104,153)(105,131)(107,113)(108,157)(111,117)(112,158)(115,121)(116,159)(119,134)(120,155)(123,129)(124,151)
        (125,142)(128,146)(132,143)(133,150)(135,141)(137,145)(144,156)(149,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 96)( 49, 55)( 50,107)( 51, 72)( 53, 59)( 54,110)
        ( 57, 75)( 58,114)( 61, 67)( 62, 90)( 63, 83)( 66, 70)( 69, 87)( 73,103)( 74, 99)( 77, 82)( 78,118)( 80, 86)
        ( 81,131)( 84,122)( 85,134)( 88, 94)( 89,123)( 92, 98)( 93,141)( 97,102)(100,126)(101,142)(104,109)(105,153)
        (106,127)(108,113)(111,117)(112,154)(115,121)(116,155)(119,130)(120,151)(124,144)(125,137)(128,149)(129,145)
        (132,136)(133,157)(135,140)(138,147)(139,158)(143,148)(146,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 96)( 49, 55)( 50,107)( 51, 72)( 53, 59)( 54,111)
        ( 57, 75)( 58,114)( 61, 66)( 62, 90)( 63, 83)( 65, 70)( 69, 87)( 73,103)( 74, 99)( 77, 82)( 78,118)( 80, 86)
        ( 81,131)( 84,122)( 85,134)( 88, 94)( 89,123)( 92, 98)( 93,141)( 97,102)(100,126)(101,142)(104,110)(105,153)
        (106,127)(108,113)(109,154)(112,117)(115,121)(116,155)(119,130)(120,151)(124,144)(125,137)(128,149)(129,145)
        (132,136)(133,157)(135,140)(138,147)(139,158)(143,148)(146,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 24, 40)( 26, 31)( 27, 79)( 28, 52)( 30, 35)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,106)( 57, 62)
        ( 58,118)( 59, 83)( 61, 66)( 64, 70)( 65,119)( 68, 87)( 69,122)( 73, 95)( 74, 91)( 76, 82)( 77,133)( 78,110)
        ( 81, 86)( 84,114)( 85,134)( 89, 94)( 90,123)( 92,126)( 93,142)( 96,102)( 97,153)( 98,127)(100,105)(101,154)
        (104,109)(107,113)(108,155)(111,130)(112,151)(115,121)(116,144)(117,137)(120,125)(124,141)(128,149)(129,145)
        (131,136)(132,157)(135,140)(138,147)(139,158)(143,148)(146,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 71)( 30, 56)( 32, 38)( 33, 75)( 36, 59)
        ( 37, 79)( 40, 46)( 41, 90)( 42, 60)( 44, 50)( 45, 94)( 48, 63)( 49, 98)( 52, 58)( 53,110)( 54, 64)( 57, 67)
        ( 61, 86)( 62, 82)( 65,106)( 66,102)( 68, 74)( 69,122)( 70,111)( 72, 78)( 73,126)( 76, 81)( 77,130)( 80, 85)
        ( 83, 89)( 84,131)( 87, 93)( 88,134)( 91, 97)( 92,138)( 95,101)( 96,142)( 99,105)(100,145)(103,114)(104,146)
        (107,113)(108,121)(109,115)(112,118)(116,153)(117,149)(119,125)(120,154)(123,129)(124,155)(127,133)(128,159)
        (132,137)(135,141)(136,160)(139,144)(140,151)(143,148)(147,152)(150,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 71)( 30, 56)( 32, 38)( 33, 75)( 36, 59)
        ( 37, 79)( 40, 46)( 41, 87)( 42, 60)( 44, 50)( 45, 90)( 48, 63)( 49, 94)( 52, 58)( 53,106)( 54, 64)( 57, 67)
        ( 61, 86)( 62, 82)( 65,102)( 66, 98)( 68, 74)( 69,122)( 70,107)( 72, 78)( 73,126)( 76, 81)( 77,130)( 80, 85)
        ( 83,110)( 84,131)( 88, 93)( 89,111)( 91, 97)( 92,139)( 95,101)( 96,142)( 99,114)(100,143)(103,109)(104,121)
        (105,115)(108,118)(112,138)(113,134)(116,150)(117,146)(119,125)(120,151)(123,129)(124,152)(127,133)(128,159)
        (132,137)(135,154)(136,160)(140,145)(141,155)(144,149)(147,157)(148,156)(153,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 68)( 42, 72)( 43, 92)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,106)( 54, 76)( 55,110)
        ( 58, 64)( 59,122)( 60, 87)( 62, 67)( 63,126)( 66, 71)( 69, 91)( 70,127)( 74, 99)( 75, 95)( 78, 83)( 79,114)
        ( 81, 86)( 82,138)( 85, 90)( 88,118)( 89,139)( 93, 98)( 94,130)( 96,133)( 97,146)(100,105)(101,157)(102,134)
        (104,109)(107,113)(108,158)(111,117)(112,159)(115,137)(116,155)(119,125)(120,151)(121,141)(123,129)(124,148)
        (128,132)(131,145)(135,153)(136,149)(140,144)(142,150)(143,156)(147,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 92)( 45, 68)( 46, 95)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,114)( 61, 67)( 62,126)( 63, 83)( 66, 87)( 70,103)( 71, 99)( 74, 79)( 75,118)( 77, 82)( 78,135)
        ( 81, 86)( 84,122)( 85,136)( 88, 94)( 89,146)( 90,127)( 93, 98)( 96,102)( 97,147)(100,130)(101,144)(104,110)
        (105,157)(106,131)(108,113)(109,158)(112,117)(115,121)(116,159)(119,134)(120,155)(123,129)(124,151)(125,138)
        (128,142)(132,153)(133,149)(137,141)(139,150)(140,156)(143,148)(145,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 77)( 35, 61)
        ( 37, 43)( 38, 80)( 41, 64)( 42, 84)( 45, 51)( 46, 96)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58,116)( 59, 72)( 62, 76)( 66, 92)( 67, 88)( 70, 75)( 71,108)( 73,112)( 74,125)( 78, 83)( 79,117)( 81, 87)
        ( 82,133)( 85, 91)( 86,135)( 89,120)( 90,139)( 93, 99)( 94,150)( 95,121)( 97,103)( 98,154)(101,107)(102,155)
        (105,111)(106,156)(109,124)(110,152)(113,119)(114,137)(115,128)(118,132)(122,146)(123,143)(126,131)(127,148)
        (129,141)(130,160)(134,138)(136,142)(140,145)(144,158)(147,153)(149,159)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 61)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 73)( 34, 39)( 35, 64)
        ( 37, 43)( 38, 81)( 41, 68)( 42, 84)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,104)( 57, 63)
        ( 58,116)( 59, 76)( 62, 67)( 65, 80)( 66,117)( 70, 92)( 71, 88)( 74, 79)( 75,108)( 77,112)( 78,128)( 82, 87)
        ( 83,120)( 85, 91)( 86,136)( 89,123)( 90,139)( 93, 99)( 94,150)( 95,124)( 97,103)( 98,154)(101,107)(102,155)
        (105,111)(106,156)(109,127)(110,152)(113,119)(114,138)(115,131)(118,122)(121,135)(125,146)(126,143)(129,134)
        (130,148)(132,141)(133,160)(137,142)(140,145)(144,158)(147,153)(149,159)(151,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 69)( 42, 73)( 43, 96)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 91)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 95)( 71,136)( 75,103)( 76, 99)( 78, 83)
        ( 79, 89)( 80,119)( 82, 86)( 85, 90)( 88, 94)( 92,123)( 93,120)( 97,102)( 98,139)(100,142)(101,151)(104,110)
        (105,147)(106,143)(108,114)(109,157)(112,118)(113,158)(116,122)(117,159)(121,149)(124,130)(125,144)(126,146)
        (128,134)(129,155)(132,138)(133,153)(137,141)(140,150)(145,154)(148,160)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 69)( 42, 73)( 43, 96)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 91)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 95)( 71,138)( 75,103)( 76, 99)( 78, 83)
        ( 79, 89)( 80,119)( 82, 86)( 85, 90)( 88, 94)( 92,123)( 93,120)( 97,102)( 98,139)(100,142)(101,151)(104,110)
        (105,147)(106,143)(108,114)(109,157)(112,118)(113,158)(116,122)(117,159)(121,149)(124,130)(125,144)(126,146)
        (128,134)(129,155)(132,137)(133,153)(136,141)(140,150)(145,154)(148,160)(152,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 71)( 41, 47)( 42, 98)( 45, 74)( 46, 99)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,118)( 61, 67)( 62,130)( 63, 86)( 65, 70)( 66, 93)( 69, 73)( 72, 90)( 76,106)( 77,102)( 80, 85)
        ( 81,122)( 83, 89)( 84,139)( 87,126)( 88,140)( 91, 97)( 92,131)( 95,101)( 96,146)(100,105)(103,134)(104,147)
        (107,113)(108,153)(109,135)(111,117)(112,157)(115,121)(116,158)(119,125)(120,159)(123,138)(124,155)(127,133)
        (128,151)(129,142)(132,149)(136,143)(137,150)(141,145)(144,156)(148,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 68)( 42, 72)( 43, 92)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,111)
        ( 58, 64)( 59,123)( 60, 87)( 62, 67)( 63,127)( 66, 71)( 69, 91)( 70,128)( 74, 99)( 75, 95)( 77, 83)( 78, 89)
        ( 79,115)( 82, 86)( 85, 90)( 88,119)( 93, 98)( 94,131)( 96,102)( 97,136)(100,106)(101,138)(104,110)(105,142)
        (108,114)(109,146)(112,118)(113,147)(116,122)(117,150)(120,126)(121,153)(124,130)(125,157)(129,134)(132,135)
        (133,158)(137,141)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 92)( 49, 55)( 50,104)( 51, 69)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 72)( 62,115)( 66, 80)( 67, 76)( 70,100)( 71, 96)( 74, 79)( 75,119)( 77,123)( 78,132)( 81, 87)
        ( 82,141)( 83,124)( 85, 91)( 86,145)( 89, 95)( 90,146)( 93, 99)( 94,147)( 97,127)( 98,143)(101,106)(102,153)
        (103,128)(105,110)(108,114)(109,154)(112,118)(113,155)(116,122)(117,151)(120,131)(121,157)(125,137)(126,134)
        (129,149)(130,139)(133,136)(135,158)(138,144)(140,159)(142,148)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 87)( 45, 68)( 46, 91)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 72)( 62,114)( 66, 80)( 67, 76)( 70, 99)( 71, 95)( 74, 79)( 75,118)( 77,122)( 78,131)( 81, 86)
        ( 82,141)( 83,123)( 85, 90)( 88, 94)( 89,142)( 92, 98)( 93,143)( 96,126)( 97,139)(100,105)(101,153)(102,127)
        (104,109)(107,113)(108,154)(111,117)(112,155)(115,121)(116,151)(119,130)(120,157)(124,137)(125,133)(128,149)
        (129,145)(132,136)(134,147)(135,158)(138,144)(140,148)(146,159)(150,156)(152,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 84)( 38, 43)( 39, 72)( 41, 47)( 42, 92)( 45, 75)( 46, 95)( 49, 55)( 50,107)( 51, 76)( 53, 59)( 54,111)
        ( 57, 79)( 58,115)( 61, 67)( 62,127)( 63, 87)( 65, 71)( 66,131)( 69, 74)( 70,135)( 73, 91)( 77,103)( 78, 99)
        ( 81, 86)( 82,119)( 85, 90)( 88,123)( 89,120)( 93, 98)( 94,136)( 96,102)( 97,148)(100,139)(101,150)(104,110)
        (105,144)(106,140)(108,114)(109,157)(112,118)(113,158)(116,122)(117,159)(121,146)(124,130)(125,141)(126,143)
        (128,134)(129,155)(132,138)(133,152)(137,147)(142,154)(145,160)(149,153)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 79)( 35, 61)
        ( 37, 43)( 38, 83)( 41, 64)( 42, 87)( 45, 51)( 46, 99)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,103)( 57, 63)
        ( 58,115)( 59, 72)( 62, 75)( 66, 95)( 67, 91)( 70, 74)( 71,107)( 73,111)( 76, 82)( 77,127)( 78,116)( 80, 86)
        ( 81,131)( 84, 90)( 85,132)( 88, 94)( 89,135)( 92,119)( 93,138)( 96,102)( 97,150)( 98,120)(101,106)(104,110)
        (105,151)(108,114)(109,154)(112,118)(113,157)(117,123)(121,146)(122,142)(124,130)(125,144)(126,158)(128,134)
        (129,140)(133,137)(136,141)(139,145)(143,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 79)( 35, 61)
        ( 37, 43)( 38, 83)( 41, 64)( 42, 87)( 45, 51)( 46, 99)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,103)( 57, 63)
        ( 58,115)( 59, 72)( 62, 75)( 66, 95)( 67, 91)( 70, 74)( 71,107)( 73,111)( 76, 82)( 77,127)( 78,116)( 80, 86)
        ( 81,131)( 84, 90)( 85,134)( 88, 94)( 89,135)( 92,119)( 93,138)( 96,102)( 97,150)( 98,120)(101,106)(104,110)
        (105,151)(108,114)(109,154)(112,118)(113,157)(117,123)(121,146)(122,142)(124,130)(125,144)(126,158)(128,133)
        (129,140)(132,137)(136,141)(139,145)(143,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 71)( 27, 52)( 30, 56)( 33, 39)( 34, 79)( 35, 61)
        ( 37, 43)( 38, 83)( 41, 64)( 42, 87)( 45, 51)( 46, 99)( 47, 65)( 49, 55)( 50,103)( 53, 68)( 54,104)( 57, 63)
        ( 58,115)( 59, 72)( 62, 75)( 66, 95)( 67, 91)( 69, 74)( 70,107)( 73,111)( 76, 82)( 77,127)( 78,116)( 80, 86)
        ( 81,131)( 84, 90)( 85,134)( 88, 94)( 89,135)( 92,119)( 93,138)( 96,102)( 97,150)( 98,120)(100,106)(101,153)
        (105,110)(108,114)(109,154)(112,118)(113,157)(117,123)(121,146)(122,142)(124,130)(125,144)(126,158)(128,133)
        (129,140)(132,137)(136,141)(139,145)(143,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 91)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 72)( 62,114)( 66, 80)( 67, 76)( 70, 99)( 71, 95)( 74, 79)( 75,118)( 77,122)( 78,130)( 81, 87)
        ( 82,141)( 83,123)( 85, 90)( 86,142)( 89, 94)( 92, 98)( 93,143)( 96,126)( 97,139)(100,106)(101,149)(102,127)
        (104,110)(105,153)(108,113)(109,157)(112,117)(115,121)(116,158)(119,129)(120,159)(124,137)(125,133)(128,145)
        (131,136)(132,155)(134,147)(135,151)(138,144)(140,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 71)( 30, 56)( 32, 38)( 33, 75)( 36, 59)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 60)( 44, 50)( 45, 95)( 48, 63)( 49, 98)( 52, 58)( 53,110)( 54, 64)( 57, 67)
        ( 61, 87)( 62, 83)( 65,106)( 66,102)( 68, 74)( 69,125)( 70,111)( 72, 78)( 73,129)( 76, 82)( 77,130)( 80, 86)
        ( 81,133)( 84,114)( 85,137)( 88, 94)( 89,149)( 90,115)( 92, 97)( 93,150)( 96,101)( 99,105)(100,151)(103,118)
        (104,147)(107,113)(108,157)(109,119)(112,121)(116,145)(117,141)(120,153)(122,128)(123,139)(124,158)(126,132)
        (127,135)(131,136)(134,140)(138,144)(142,155)(143,159)(146,152)(148,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 92)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 72)( 62,114)( 66, 80)( 67, 76)( 70, 99)( 71, 96)( 74, 79)( 75,118)( 77,122)( 78,130)( 81, 87)
        ( 82,138)( 83,123)( 85, 91)( 86,139)( 89, 95)( 90,141)( 93, 98)( 94,145)( 97,126)(100,106)(101,149)(102,127)
        (104,110)(105,153)(108,113)(109,157)(112,117)(115,121)(116,158)(119,129)(120,159)(124,137)(125,133)(128,146)
        (131,136)(132,155)(134,143)(135,151)(140,144)(142,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 16)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 24)( 17, 27)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 71)( 30, 56)( 32, 38)( 33, 75)( 36, 59)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 60)( 44, 50)( 45, 95)( 48, 63)( 49, 99)( 52, 58)( 53,110)( 54, 64)( 57, 67)
        ( 61, 87)( 62, 83)( 65,106)( 66,103)( 68, 74)( 69,125)( 70,111)( 72, 78)( 73,129)( 76, 82)( 77,130)( 80, 86)
        ( 81,133)( 84,114)( 85,137)( 88, 94)( 89,146)( 90,115)( 92, 98)( 93,147)( 96,102)( 97,149)(100,105)(101,153)
        (104,118)(107,113)(108,157)(109,119)(112,121)(116,145)(117,141)(120,154)(122,128)(123,139)(124,158)(126,132)
        (127,135)(131,136)(134,140)(138,144)(142,151)(143,159)(148,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 19)(  6, 31)(  7, 15)(  9, 23)( 10, 43)( 11, 20)( 13, 18)( 14, 24)
        ( 16, 27)( 17, 52)( 21, 39)( 22, 35)( 25, 51)( 26, 47)( 28, 34)( 29, 71)( 30, 55)( 32, 38)( 33, 75)( 36, 59)
        ( 37, 79)( 40, 46)( 41, 91)( 42, 60)( 44, 50)( 45, 95)( 48, 63)( 49, 99)( 53, 58)( 54, 64)( 56, 67)( 57,108)
        ( 61, 87)( 62, 83)( 65,107)( 66,103)( 68, 74)( 69,124)( 70,111)( 72, 78)( 73,125)( 76, 82)( 77,127)( 80, 86)
        ( 81,131)( 84,115)( 85,135)( 88, 94)( 89,145)( 90,116)( 92, 98)( 93,149)( 96,102)( 97,150)(100,106)(101,151)
        (104,119)(105,147)(109,114)(110,120)(112,123)(113,154)(117,141)(118,138)(121,153)(122,143)(126,130)(128,134)
        (129,155)(132,137)(133,160)(136,140)(139,157)(142,148)(144,158)(146,152)(156,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,103)( 46, 76)( 47,106)( 50, 56)( 51,118)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,134)( 64, 95)( 66, 72)( 67,138)( 70, 75)( 71,142)( 74, 99)( 78,114)
        ( 79,110)( 81, 86)( 82,127)( 84, 90)( 85,150)( 88, 94)( 89,151)( 92, 98)( 93,153)( 96,130)( 97,157)(101,105)
        (102,143)(104,109)(107,113)(108,144)(111,146)(112,140)(115,121)(116,132)(117,147)(119,125)(120,159)(123,129)
        (124,155)(128,149)(131,137)(133,158)(135,141)(136,148)(139,145)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 35)(  8, 16)( 10, 24)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 28)( 17, 32)( 18, 56)( 22, 43)( 23, 39)( 26, 31)( 27, 51)( 29, 55)( 30, 68)( 33, 38)( 34, 59)( 36, 42)
        ( 37, 76)( 40, 63)( 41, 79)( 44, 50)( 45, 91)( 46, 64)( 48, 54)( 49, 95)( 52, 67)( 53, 96)( 57, 62)( 58, 71)
        ( 60, 75)( 61,104)( 65, 87)( 66, 83)( 69, 74)( 70, 99)( 72,103)( 73,116)( 77, 82)( 78,107)( 80, 86)( 81,124)
        ( 84,111)( 85,126)( 88, 94)( 89,137)( 90,112)( 92, 98)( 93,141)( 97,102)(100,115)(101,142)(105,110)(106,119)
        (108,123)(109,150)(113,133)(114,130)(117,122)(118,145)(120,149)(121,158)(125,129)(127,132)(128,151)(131,153)
        (134,140)(135,160)(136,154)(138,144)(139,147)(143,148)(146,157)(152,156)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 95)( 40, 69)( 42, 47)( 45, 71)( 46, 96)( 49, 55)( 50,102)( 51, 72)( 53, 59)( 54,106)
        ( 57, 75)( 58,110)( 61, 67)( 62,100)( 63, 91)( 65, 70)( 66, 98)( 73, 92)( 74, 99)( 76, 82)( 77,122)( 78,114)
        ( 80, 86)( 81,126)( 84, 90)( 85,130)( 88, 94)( 89,134)( 93,105)( 97,101)(103,109)(104,135)(107,113)(108,138)
        (111,117)(112,142)(115,118)(116,143)(119,125)(120,154)(121,146)(123,129)(124,155)(127,133)(128,152)(131,137)
        (132,157)(136,141)(139,145)(140,158)(144,149)(147,150)(148,159)(151,156)(153,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46, 97)( 49, 55)( 50,106)( 51, 73)( 53, 59)( 54,110)
        ( 57, 76)( 58,114)( 61, 67)( 62,122)( 63, 91)( 66, 71)( 69, 95)( 70,123)( 74,102)( 75, 99)( 77, 82)( 78,118)
        ( 80, 86)( 81,127)( 84, 90)( 85,130)( 88, 94)( 89,134)( 92,104)( 93,138)( 98,101)(100,124)(103,109)(105,125)
        (107,113)(108,139)(111,117)(112,142)(115,121)(116,146)(119,126)(120,150)(128,133)(129,151)(131,137)(132,155)
        (135,141)(136,157)(140,145)(143,149)(144,158)(147,153)(148,159)(152,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 86)( 34, 59)
        ( 35, 90)( 38, 43)( 39,101)( 40, 71)( 42, 47)( 45, 75)( 46,102)( 49, 54)( 50,113)( 51, 76)( 53, 58)( 56, 79)
        ( 57,114)( 60, 66)( 61,125)( 62, 94)( 64, 70)( 65,129)( 68, 74)( 69,133)( 72, 98)( 73,134)( 77,109)( 78,105)
        ( 80, 85)( 81,146)( 82,117)( 84, 89)( 87, 93)( 88,147)( 91, 97)( 92,149)( 95,121)( 96,150)( 99,104)(100,137)
        (103,108)(106,141)(107,138)(110,116)(111,154)(112,142)(115,120)(118,145)(119,155)(122,128)(123,143)(124,153)
        (126,132)(127,158)(130,136)(131,159)(135,140)(139,160)(144,157)(148,152)(151,156),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,122)( 52, 78)( 54, 60)
        ( 55,126)( 58, 81)( 59,130)( 62, 68)( 63,124)( 64, 97)( 66, 72)( 67,120)( 70, 76)( 71,138)( 74,101)( 75,142)
        ( 79,118)( 80,115)( 82, 88)( 83,150)( 84,134)( 86, 92)( 87,151)( 90, 96)( 91,153)( 94,100)( 95,157)( 98,128)
        ( 99,158)(102,106)(103,146)(105,110)(108,114)(109,147)(112,117)(113,144)(116,140)(119,125)(121,141)(123,129)
        (127,133)(131,137)(132,159)(135,149)(136,155)(139,145)(143,148)(152,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 63)( 23, 44)( 24, 40)( 26, 32)( 27, 75)( 28, 52)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 39, 43)( 41, 67)( 42, 64)( 45, 51)( 46, 88)( 47, 68)( 49, 55)( 50, 91)( 53, 71)( 54, 95)( 57, 62)
        ( 58, 69)( 59, 87)( 61, 66)( 65, 70)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 89, 94)( 92, 98)( 93,120)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,139)(106,131)(108,114)
        (109,142)(112,118)(113,146)(116,122)(117,150)(121,126)(124,130)(125,151)(128,134)(129,154)(132,135)(133,155)
        (136,141)(137,144)(138,158)(140,145)(143,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 64)( 40, 46)( 41, 92)( 44, 67)( 45, 93)( 48, 54)( 49, 88)( 50, 68)( 52, 58)( 53, 95)( 56, 71)
        ( 57, 99)( 60, 66)( 61, 69)( 62, 87)( 65, 91)( 70, 94)( 72, 78)( 73,111)( 74,103)( 76, 82)( 77,115)( 80, 86)
        ( 81,119)( 84, 90)( 85,123)( 89, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,140)
        (110,135)(112,118)(113,143)(116,122)(117,146)(120,126)(121,150)(125,130)(128,134)(129,151)(132,138)(133,154)
        (136,139)(137,155)(141,145)(142,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 92)( 39, 64)( 41, 46)( 44, 67)( 45, 93)( 48, 54)( 49, 88)( 50, 68)( 52, 58)( 53, 95)( 56, 71)
        ( 57, 99)( 60, 66)( 61, 69)( 62, 87)( 65, 91)( 70, 94)( 72, 78)( 73,111)( 74,103)( 76, 82)( 77,115)( 80, 86)
        ( 81,119)( 84, 90)( 85,123)( 89, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,140)
        (110,135)(112,118)(113,143)(116,122)(117,146)(120,126)(121,150)(125,130)(128,134)(129,151)(132,138)(133,154)
        (136,139)(137,155)(141,145)(142,158)(144,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 42)( 38, 92)( 39, 64)( 41, 46)( 44, 67)( 45, 93)( 48, 54)( 49, 88)( 50, 68)( 52, 58)( 53, 95)( 56, 71)
        ( 57, 99)( 60, 66)( 61, 69)( 62, 87)( 65, 91)( 70, 94)( 72, 78)( 73,111)( 74,103)( 76, 82)( 77,115)( 80, 86)
        ( 81,119)( 84, 90)( 85,123)( 89, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,142)
        (110,135)(112,118)(113,143)(116,122)(117,146)(120,126)(121,150)(125,130)(128,134)(129,151)(132,138)(133,154)
        (136,139)(137,157)(140,145)(141,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 71)( 43, 96)( 46, 52)( 47, 92)( 48, 72)( 50, 56)( 51, 99)( 54, 75)( 55,103)
        ( 58, 64)( 59, 73)( 60, 91)( 62, 67)( 63, 98)( 66, 70)( 69, 95)( 74, 97)( 76, 82)( 77,114)( 78,107)( 80, 86)
        ( 81,118)( 84, 90)( 85,122)( 88, 94)( 89,126)( 93,102)(100,106)(101,127)(104,110)(105,130)(108,111)(109,134)
        (112,117)(113,138)(115,121)(116,143)(119,125)(120,146)(123,129)(124,150)(128,133)(131,137)(132,151)(135,141)
        (136,154)(139,142)(140,157)(144,149)(145,158)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,102)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,108)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 81)( 59,124)( 62, 68)( 63,122)( 64, 97)( 66, 72)( 67,118)( 70, 76)( 71,114)( 74,101)( 75,132)
        ( 79,112)( 80,109)( 82, 88)( 83,139)( 84,128)( 86, 92)( 87,142)( 90, 96)( 91,146)( 94,100)( 95,150)( 98,126)
        ( 99,153)(103,107)(104,133)(106,111)(110,134)(113,119)(115,135)(117,123)(121,127)(125,131)(129,136)(130,154)
        (137,141)(138,157)(140,145)(143,149)(144,158)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 77)( 28, 56)( 30, 35)( 31, 80)( 34, 60)
        ( 37, 43)( 38, 85)( 39, 69)( 41, 47)( 42, 88)( 45, 72)( 46, 92)( 49, 55)( 50,103)( 51, 73)( 53, 59)( 54,107)
        ( 57, 76)( 58,111)( 61, 67)( 62,123)( 63, 81)( 65, 71)( 66,127)( 70, 84)( 74,100)( 75, 96)( 78, 83)( 79,115)
        ( 82,119)( 86, 91)( 87,128)( 89, 95)( 90,136)( 93, 99)( 94,137)( 97,131)( 98,139)(101,106)(102,132)(104,110)
        (105,148)(108,114)(109,151)(112,118)(113,154)(116,122)(117,157)(120,126)(121,145)(124,130)(125,141)(129,135)
        (133,147)(134,143)(138,142)(140,146)(144,158)(149,153)(150,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 27, 32)( 28, 49)( 30, 53)( 31, 74)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 81)( 42, 48)( 43, 92)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51,100)( 54, 60)( 55,111)( 56, 77)
        ( 58, 64)( 59,115)( 62, 68)( 63,119)( 66, 80)( 67,123)( 71, 88)( 72, 84)( 75, 79)( 76,103)( 78,107)( 82, 87)
        ( 83,124)( 85,127)( 86,131)( 89, 95)( 90,138)( 91,128)( 93, 99)( 94,142)( 97,102)( 98,145)(101,106)(104,110)
        (105,146)(108,114)(109,149)(112,118)(113,153)(116,122)(117,157)(120,126)(121,158)(125,130)(129,134)(132,137)
        (133,159)(135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 39, 44)( 40, 69)( 42, 73)( 43, 98)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,106)( 60, 93)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 97)( 71,129)( 75,104)( 76,101)( 78, 84)
        ( 79,135)( 80,120)( 82, 88)( 83,136)( 86, 92)( 87,139)( 90, 96)( 91,143)( 94,110)( 95,147)( 99,103)(100,130)
        (102,126)(105,111)(107,127)(109,115)(113,119)(114,148)(117,123)(118,151)(121,132)(122,154)(125,131)(133,138)
        (134,158)(137,142)(140,146)(141,159)(144,150)(145,156)(149,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 33)( 18, 37)( 19, 56)( 23, 43)( 24, 40)( 26, 32)( 27, 63)( 28, 51)( 30, 36)( 31, 67)( 34, 45)
        ( 35, 71)( 39, 42)( 41, 57)( 44, 50)( 46, 58)( 48, 54)( 49, 72)( 52, 59)( 53, 75)( 60, 66)( 61, 87)( 62, 79)
        ( 64, 70)( 65, 91)( 68, 74)( 69, 95)( 73, 78)( 76, 82)( 77, 96)( 80, 83)( 81, 99)( 84, 90)( 85,111)( 86,103)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 97,102)(100,106)(101,120)(104,107)(105,123)(108,114)(109,135)(110,127)
        (112,118)(113,139)(116,122)(117,143)(121,126)(124,130)(125,144)(128,131)(129,147)(132,138)(133,155)(134,151)
        (136,142)(137,156)(140,146)(141,158)(145,150)(148,153)(149,159)(152,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,116)( 63,101)( 65, 71)( 66,120)( 69, 75)( 70,124)( 73, 79)( 74,128)( 77,104)( 78,111)( 81, 87)
        ( 82,136)( 83,105)( 85, 91)( 86,140)( 89, 95)( 90,144)( 93, 99)( 94,135)( 97,108)( 98,107)(102,112)(103,109)
        (106,132)(110,129)(113,119)(114,148)(115,130)(117,123)(118,152)(121,127)(122,155)(125,131)(126,151)(133,139)
        (134,145)(137,143)(138,158)(141,147)(142,159)(146,160)(149,154)(150,156)(153,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 83)
        ( 36, 66)( 38, 44)( 39, 87)( 42, 69)( 43, 90)( 46, 52)( 47,102)( 48, 70)( 50, 56)( 51,106)( 54, 73)( 55,110)
        ( 58, 64)( 59,122)( 60, 77)( 62, 68)( 63,126)( 67, 80)( 71, 98)( 72, 94)( 75, 79)( 76,114)( 78,118)( 81, 86)
        ( 82,127)( 84, 89)( 85,135)( 88, 93)( 91, 97)( 92,136)( 95,130)( 96,138)( 99,105)(100,147)(101,131)(103,109)
        (104,150)(107,113)(108,151)(111,117)(112,154)(115,121)(116,157)(119,125)(120,144)(123,129)(124,140)(128,134)
        (132,146)(133,142)(137,141)(139,145)(143,158)(148,153)(149,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 84)
        ( 36, 68)( 38, 44)( 39, 87)( 42, 72)( 43, 90)( 46, 52)( 47,102)( 48, 73)( 50, 56)( 51,106)( 54, 76)( 55,110)
        ( 58, 64)( 59,122)( 60, 80)( 62, 67)( 63,126)( 66, 71)( 69, 83)( 70,127)( 74, 98)( 75, 94)( 78, 82)( 79,114)
        ( 81,118)( 85, 89)( 86,130)( 88, 93)( 91, 97)( 92,131)( 95,134)( 96,138)( 99,105)(100,147)(101,135)(103,109)
        (104,150)(107,113)(108,153)(111,117)(112,154)(115,121)(116,157)(119,125)(120,144)(123,129)(124,140)(128,133)
        (132,141)(136,146)(137,142)(139,145)(143,158)(148,152)(149,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,115)( 63,101)( 65, 71)( 66,119)( 69, 75)( 70,122)( 73, 79)( 74,126)( 77,104)( 78,130)( 81, 87)
        ( 82,139)( 83,105)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93, 99)( 94,146)( 97,108)( 98,149)(102,112)(103,109)
        (106,138)(107,134)(110,153)(111,136)(113,118)(114,154)(116,121)(117,158)(120,125)(123,129)(124,159)(127,133)
        (128,160)(131,137)(132,156)(135,150)(140,145)(141,151)(144,148)(147,152)(155,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,115)( 63,101)( 65, 71)( 66,119)( 69, 75)( 70,123)( 73, 79)( 74,126)( 77,104)( 78,130)( 81, 87)
        ( 82,139)( 83,105)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,146)( 97,108)( 98,149)(102,112)(103,109)
        (106,138)(107,134)(110,153)(111,136)(113,118)(114,154)(116,122)(117,158)(120,125)(121,159)(124,129)(127,133)
        (128,160)(131,137)(132,156)(135,150)(140,144)(141,151)(143,148)(147,152)(155,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,116)( 63,101)( 65, 71)( 66,119)( 69, 75)( 70,123)( 73, 79)( 74,126)( 77,104)( 78,130)( 81, 87)
        ( 82,141)( 83,105)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,146)( 97,108)( 98,149)(102,112)(103,109)
        (106,138)(107,134)(110,153)(111,136)(113,118)(114,158)(115,154)(117,122)(120,125)(121,159)(124,129)(127,133)
        (128,160)(131,137)(132,156)(135,150)(139,144)(140,151)(143,148)(147,152)(155,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 60)( 23, 41)( 24, 37)( 27, 32)( 28, 49)( 30, 53)( 31, 73)( 35, 40)( 36, 64)
        ( 38, 68)( 39, 81)( 42, 48)( 43, 92)( 44, 69)( 46, 52)( 47, 96)( 50, 72)( 51,100)( 54, 59)( 55,112)( 56, 76)
        ( 58, 63)( 61, 67)( 62,113)( 65, 80)( 66,116)( 70, 88)( 71, 84)( 74, 79)( 75,104)( 77,108)( 78,128)( 82, 87)
        ( 83,119)( 85,123)( 86,136)( 89, 95)( 90,147)( 91,124)( 93, 99)( 94,151)( 97,103)( 98,152)(101,107)(102,149)
        (105,127)(106,145)(109,115)(110,121)(111,131)(114,118)(117,122)(120,135)(125,143)(126,139)(129,134)(130,154)
        (132,138)(133,159)(137,142)(140,156)(141,160)(144,150)(146,157)(148,153)(155,158),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 56)( 30, 35)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 96)( 45, 75)( 46, 93)( 49, 55)( 50,106)( 51, 76)( 53, 59)( 54,110)
        ( 57, 79)( 58,114)( 61, 66)( 62,126)( 63, 87)( 65, 70)( 68, 74)( 69,127)( 72, 91)( 73,130)( 77,102)( 78, 98)
        ( 80, 86)( 81,139)( 82,118)( 85, 90)( 88,122)( 89,140)( 92, 97)( 94,101)( 99,134)(100,131)(103,109)(104,154)
        (105,135)(107,113)(108,158)(111,117)(112,159)(115,121)(116,156)(119,138)(120,152)(123,129)(124,148)(125,142)
        (128,133)(132,149)(136,150)(137,146)(141,145)(143,147)(144,153)(151,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 31)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 55)( 28, 34)( 29, 72)( 32, 59)( 33, 75)( 36, 42)
        ( 37, 83)( 38, 64)( 40, 46)( 41, 87)( 44, 67)( 45, 91)( 48, 54)( 49,102)( 50, 68)( 52, 58)( 53,105)( 56, 71)
        ( 57,109)( 60, 66)( 61,121)( 62, 76)( 65, 79)( 69, 98)( 70, 94)( 73, 78)( 74,113)( 77,117)( 80, 86)( 81,133)
        ( 82,122)( 84, 90)( 85,134)( 88, 93)( 89,137)( 92, 97)( 95,125)( 96,138)( 99,104)(100,149)(101,126)(103,108)
        (106,112)(107,150)(110,116)(111,153)(114,120)(115,154)(118,124)(119,157)(123,129)(127,145)(128,141)(130,136)
        (131,143)(132,158)(135,140)(139,144)(142,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 91)( 39, 71)( 41, 47)( 42, 95)( 45, 75)( 46, 98)( 49, 55)( 50,110)( 51, 76)( 53, 59)( 54,114)
        ( 57, 79)( 58,115)( 61, 66)( 62,126)( 63, 84)( 65, 70)( 68, 74)( 69,127)( 72, 87)( 73,130)( 77,106)( 78,102)
        ( 81, 86)( 82,118)( 85,122)( 88, 94)( 89,104)( 90,134)( 92, 97)( 93,100)( 96,101)( 99,105)(103,138)(107,113)
        (108,145)(109,139)(111,117)(112,149)(116,121)(119,125)(120,150)(123,129)(124,153)(128,133)(131,137)(132,154)
        (135,141)(136,157)(140,142)(143,148)(144,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 79)( 31, 63)( 33, 38)( 36, 67)
        ( 37, 80)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 95)( 48, 71)( 49, 99)( 52, 58)( 53,111)( 54, 72)( 56, 62)
        ( 57,112)( 60, 66)( 61,115)( 64, 75)( 65,116)( 69, 87)( 70, 83)( 73,107)( 74,103)( 76, 82)( 77,135)( 78,119)
        ( 81, 86)( 84,123)( 85,136)( 88, 94)( 89,147)( 90,124)( 92, 98)( 93,151)( 96,102)( 97,152)(100,106)(101,149)
        (104,127)(105,145)(108,114)(109,121)(110,128)(113,118)(117,122)(120,131)(125,143)(126,139)(129,134)(130,154)
        (132,138)(133,159)(137,142)(140,156)(141,160)(144,150)(146,157)(148,153)(155,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 39)( 23, 35)( 26, 51)( 27, 47)( 29, 34)( 30, 79)( 31, 63)( 33, 38)( 36, 67)
        ( 37, 80)( 40, 46)( 41, 91)( 42, 68)( 44, 50)( 45, 95)( 48, 71)( 49, 99)( 52, 58)( 53,111)( 54, 72)( 56, 62)
        ( 57,112)( 60, 66)( 61,115)( 64, 75)( 65,116)( 69, 87)( 70, 83)( 73,107)( 74,103)( 76, 82)( 77,135)( 78,119)
        ( 81, 86)( 84,123)( 85,136)( 88, 94)( 89,147)( 90,124)( 92, 98)( 93,148)( 96,102)( 97,149)(100,106)(101,145)
        (104,127)(105,151)(108,114)(109,121)(110,128)(113,118)(117,122)(120,131)(125,143)(126,139)(129,134)(130,155)
        (132,138)(133,159)(137,142)(140,153)(141,160)(144,150)(146,154)(152,157)(156,158),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,115)( 55, 69)
        ( 58, 63)( 61, 72)( 62,116)( 66, 91)( 67, 87)( 70,111)( 71,107)( 73, 79)( 74,134)( 75,119)( 77, 82)( 78,135)
        ( 81, 86)( 84, 90)( 85,136)( 88,123)( 89,132)( 92, 98)( 93,146)( 94,124)( 96,102)( 97,147)(100,106)(101,148)
        (104,110)(105,144)(108,127)(109,150)(112,118)(113,157)(114,128)(117,122)(120,130)(121,158)(125,142)(126,138)
        (129,154)(131,137)(133,141)(139,152)(140,159)(143,149)(145,153)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 83)( 41, 47)( 42, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,115)( 55, 69)
        ( 58, 63)( 61, 72)( 62,116)( 66, 91)( 67, 87)( 70,111)( 71,107)( 73, 79)( 74,134)( 75,119)( 77, 82)( 78,135)
        ( 81, 86)( 84, 90)( 85,136)( 88,123)( 89,132)( 92, 98)( 93,146)( 94,124)( 96,102)( 97,147)(100,106)(101,144)
        (104,110)(105,149)(108,127)(109,153)(112,118)(113,157)(114,128)(117,122)(120,130)(121,158)(125,142)(126,138)
        (129,154)(131,137)(133,141)(139,151)(140,159)(143,148)(145,152)(150,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 83)( 39, 72)( 41, 47)( 42, 86)( 45, 75)( 46, 90)( 49, 55)( 50,102)( 51, 76)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 71)( 66,118)( 69, 74)( 70,122)( 73, 79)( 77, 98)( 78, 94)( 80, 85)( 81,130)
        ( 82,123)( 84, 89)( 87, 93)( 88,131)( 91, 97)( 92,134)( 95,101)( 96,135)( 99,105)(100,138)(103,109)(104,142)
        (107,113)(108,146)(111,117)(112,150)(115,121)(116,153)(119,125)(120,157)(124,126)(127,133)(128,140)(129,158)
        (132,137)(136,141)(139,145)(143,149)(144,159)(147,152)(148,155)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 67)( 33, 52)( 34, 71)( 37, 43)
        ( 38, 83)( 39, 53)( 41, 47)( 42, 84)( 45, 56)( 46, 87)( 50, 60)( 51, 57)( 54, 79)( 55, 75)( 58, 95)( 59, 91)
        ( 61, 66)( 62,111)( 63, 96)( 65, 70)( 68, 74)( 69,112)( 72, 78)( 73,115)( 76, 99)( 77,119)( 80, 86)( 81,131)
        ( 82,100)( 85, 90)( 88, 94)( 89,132)( 92,103)( 93,135)( 97,107)( 98,104)(101,127)(102,123)(105,143)(106,139)
        (108,114)(109,158)(110,144)(113,118)(116,122)(117,159)(120,126)(121,156)(124,147)(125,153)(128,134)(129,137)
        (130,148)(133,138)(136,142)(140,150)(141,149)(145,154)(146,151)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 67)( 33, 52)( 34, 71)( 37, 43)
        ( 38, 83)( 39, 53)( 41, 47)( 42, 84)( 45, 56)( 46, 87)( 50, 60)( 51, 57)( 54, 79)( 55, 75)( 58, 95)( 59, 91)
        ( 61, 66)( 62,111)( 63, 96)( 65, 70)( 68, 74)( 69,112)( 72, 78)( 73,115)( 76, 99)( 77,119)( 80, 86)( 81,130)
        ( 82,100)( 85, 90)( 88, 94)( 89,131)( 92,103)( 93,134)( 97,107)( 98,104)(101,127)(102,123)(105,142)(106,138)
        (108,114)(109,155)(110,143)(113,118)(116,122)(117,156)(120,126)(121,158)(124,146)(125,153)(128,133)(129,147)
        (132,137)(135,141)(136,148)(139,150)(140,149)(144,154)(145,151)(152,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 71)( 37, 43)
        ( 38, 83)( 39, 53)( 41, 47)( 42, 87)( 45, 56)( 46, 88)( 50, 60)( 51, 57)( 54, 79)( 55, 75)( 58, 95)( 59, 91)
        ( 61, 67)( 62,111)( 63, 96)( 65, 70)( 66,115)( 69, 74)( 72, 78)( 73,116)( 76, 99)( 77,119)( 80, 86)( 81,130)
        ( 82,100)( 84, 90)( 85,134)( 89, 94)( 92,103)( 93,135)( 97,107)( 98,104)(101,127)(102,123)(105,142)(106,138)
        (108,114)(109,155)(110,143)(112,118)(113,157)(117,122)(120,126)(121,158)(124,146)(125,153)(128,133)(129,147)
        (131,137)(132,148)(136,141)(139,150)(140,149)(144,154)(145,151)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,116)( 63,101)( 65, 71)( 66,120)( 69, 75)( 70,123)( 73, 79)( 74,127)( 77,104)( 78,131)( 81, 87)
        ( 82,143)( 83,105)( 85, 91)( 86,147)( 89, 95)( 90,148)( 93, 99)( 94,145)( 97,108)( 98,141)(102,112)(103,109)
        (106,139)(107,135)(110,154)(111,150)(113,119)(114,129)(115,155)(117,122)(118,125)(121,126)(124,130)(128,134)
        (132,138)(133,156)(136,152)(137,160)(140,146)(142,153)(144,149)(151,158)(157,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,116)( 63,101)( 65, 71)( 66,120)( 69, 75)( 70,123)( 73, 79)( 74,127)( 77,104)( 78,131)( 81, 87)
        ( 82,143)( 83,105)( 85, 91)( 86,144)( 89, 95)( 90,145)( 93, 99)( 94,141)( 97,108)( 98,147)(102,112)(103,109)
        (106,139)(107,135)(110,154)(111,151)(113,119)(114,129)(115,155)(117,122)(118,125)(121,126)(124,130)(128,134)
        (132,138)(133,156)(136,149)(137,160)(140,146)(142,150)(148,153)(152,158)(157,159),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 69)( 41, 47)( 42, 97)( 45, 72)( 46, 99)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,105)( 63, 92)( 65, 71)( 66,101)( 70, 96)( 74,107)( 75,103)( 77, 83)( 78,131)
        ( 79,123)( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,109)( 94,146)( 98,102)(100,106)(104,110)
        (108,114)(112,118)(113,147)(116,122)(117,150)(120,126)(121,153)(124,127)(125,157)(128,133)(129,136)(130,158)
        (132,137)(135,141)(139,145)(140,159)(143,149)(144,155)(148,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 96)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,115)( 61, 67)( 62,127)( 63, 87)( 66, 91)( 70,103)( 71, 99)( 73, 78)( 74,119)( 76, 82)( 77,132)
        ( 80, 86)( 81,135)( 84, 90)( 85,138)( 88,123)( 89,142)( 93, 98)( 94,128)( 97,102)(100,125)(101,129)(104,110)
        (105,143)(106,126)(108,114)(109,146)(112,118)(113,150)(116,122)(117,151)(120,131)(121,154)(124,130)(133,137)
        (134,157)(136,141)(139,145)(140,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 43)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46, 97)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,115)( 61, 67)( 62,127)( 63, 91)( 66, 71)( 69, 95)( 70,128)( 74,103)( 75, 99)( 77, 82)( 78,119)
        ( 80, 86)( 81,132)( 84, 90)( 85,135)( 88, 94)( 89,138)( 92,123)( 93,142)( 98,102)(100,125)(101,129)(104,110)
        (105,143)(106,126)(108,114)(109,146)(112,118)(113,150)(116,122)(117,153)(120,131)(121,154)(124,130)(133,137)
        (134,157)(136,141)(139,145)(140,158)(144,149)(147,152)(148,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 70)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,124)( 60, 92)( 62, 68)( 63,128)( 66, 72)( 67,131)( 71, 99)( 75,100)( 76, 96)( 78, 83)( 79,143)
        ( 80,116)( 82, 87)( 85, 91)( 86,144)( 89, 95)( 90,141)( 93,120)( 94,146)( 97,135)( 98,132)(101,107)(102,122)
        (103,136)(105,111)(106,151)(109,115)(110,154)(113,119)(114,155)(117,139)(118,158)(121,127)(123,150)(125,130)
        (126,137)(129,134)(133,138)(140,145)(142,149)(147,153)(148,159)(152,157)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 72)( 41, 47)( 42, 73)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,128)( 63, 96)( 65, 71)( 66,132)( 69, 75)( 70,136)( 74,103)( 78,108)( 79,104)
        ( 81, 87)( 82,143)( 83,124)( 85, 91)( 86,144)( 89, 95)( 90,141)( 93, 99)( 94,146)( 97,110)( 98,150)(101,107)
        (102,137)(105,130)(106,134)(109,115)(111,131)(113,119)(114,151)(117,123)(118,154)(121,127)(122,157)(125,139)
        (126,158)(129,135)(133,138)(140,145)(142,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 64)( 23, 47)( 24, 43)( 26, 31)( 27, 55)( 29, 35)( 30, 76)( 33, 59)( 34, 79)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 88)( 44, 71)( 45, 91)( 48, 54)( 49,102)( 50, 72)( 52, 58)( 53,106)( 56, 75)
        ( 57,110)( 60, 66)( 61,118)( 62, 83)( 65, 70)( 68, 87)( 69,119)( 73, 98)( 74, 94)( 77, 82)( 78,111)( 80, 86)
        ( 81,131)( 84,114)( 85,134)( 89, 93)( 90,122)( 92, 97)( 95,126)( 96,123)( 99,105)(100,150)(101,127)(103,109)
        (104,153)(107,113)(108,157)(112,130)(115,121)(116,144)(117,138)(120,125)(124,145)(128,146)(129,142)(132,137)
        (133,158)(135,141)(136,159)(139,148)(140,155)(143,149)(147,152)(151,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,102)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,135)( 64, 96)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74,100)( 75,146)
        ( 79,111)( 80,107)( 82, 87)( 83, 90)( 84,127)( 86, 91)( 89, 95)( 93, 99)( 94,128)( 97,131)( 98,154)(101,106)
        (103,110)(108,150)(109,147)(112,118)(113,137)(114,151)(116,122)(117,133)(120,126)(121,158)(124,130)(125,159)
        (129,156)(132,138)(134,157)(136,142)(140,145)(141,152)(144,149)(148,153)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 85)( 45, 68)( 46, 88)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 72)( 62,111)( 66, 80)( 67, 76)( 70, 96)( 71, 92)( 74, 79)( 75,115)( 77,119)( 78,124)( 81, 87)
        ( 82,134)( 83,120)( 86, 91)( 89, 95)( 90,135)( 93, 99)( 94,138)( 97,103)( 98,142)(101,107)(102,145)(105,110)
        (106,149)(109,114)(112,118)(113,150)(116,123)(117,153)(121,130)(122,126)(125,129)(127,133)(128,154)(131,137)
        (132,157)(136,141)(139,144)(140,158)(143,148)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 71)( 30, 56)( 31, 75)( 34, 39)( 35, 57)
        ( 37, 43)( 38, 84)( 41, 60)( 42, 87)( 45, 51)( 46, 98)( 47, 61)( 49, 55)( 50,102)( 53, 64)( 54,106)( 58, 83)
        ( 59, 79)( 62, 94)( 63, 90)( 65, 70)( 66,122)( 67,107)( 69, 74)( 72, 78)( 73,123)( 76, 82)( 77,126)( 80,110)
        ( 81,130)( 85, 89)( 86,111)( 88, 93)( 91,114)( 92,112)( 95,101)( 96,142)( 97,115)( 99,105)(100,145)(103,109)
        (104,149)(108,118)(113,134)(116,138)(117,135)(119,125)(120,154)(121,150)(124,129)(127,133)(128,155)(131,137)
        (132,157)(136,141)(139,144)(140,158)(143,148)(146,152)(147,159)(151,153)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 47)( 23, 43)( 25, 31)( 26, 63)( 27, 48)( 29, 35)( 30, 64)( 33, 51)( 34, 67)( 37, 42)
        ( 38, 79)( 39, 52)( 41, 46)( 44, 55)( 45, 80)( 49, 59)( 50, 56)( 53, 75)( 54, 71)( 57, 87)( 58, 83)( 60, 66)
        ( 61,103)( 62, 88)( 65, 70)( 68, 74)( 69,104)( 72, 91)( 73,107)( 76, 82)( 77,119)( 78, 92)( 81, 86)( 84, 95)
        ( 85,120)( 89, 99)( 90, 96)( 93,115)( 94,111)( 97,127)( 98,123)(100,106)(101,142)(102,128)(105,110)(108,114)
        (109,143)(112,131)(113,146)(116,122)(117,155)(118,132)(121,126)(124,135)(125,156)(129,139)(130,136)(133,154)
        (134,150)(137,158)(138,152)(140,145)(141,159)(144,149)(147,153)(148,160)(151,157),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 73)( 28, 52)( 30, 36)( 31, 76)( 34, 56)
        ( 35, 80)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,101)( 57, 63)
        ( 58,112)( 59, 84)( 61, 67)( 62,115)( 66, 91)( 70, 92)( 71, 88)( 74, 79)( 75,104)( 77, 83)( 78,124)( 81, 87)
        ( 82,127)( 85,108)( 86,131)( 89,119)( 90,116)( 93, 99)( 94,142)( 95,120)( 97,103)( 98,146)(102,107)(105,123)
        (106,147)(109,114)(110,140)(111,135)(113,118)(117,141)(121,136)(122,139)(125,130)(126,150)(128,134)(129,155)
        (132,138)(133,157)(137,145)(143,149)(144,158)(148,153)(151,154)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,126)( 64, 93)( 66, 72)( 67,122)( 70, 76)( 71,118)( 74, 97)( 75,136)
        ( 79,116)( 80,113)( 82, 88)( 83,145)( 84,132)( 86, 92)( 87,147)( 91, 96)( 94,130)( 95,148)( 98,104)( 99,155)
        (100,140)(102,108)(103,158)(106,112)(107,154)(110,115)(111,142)(114,138)(117,123)(119,139)(121,127)(125,131)
        (129,135)(133,144)(134,149)(137,143)(141,151)(146,150)(152,157)(153,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 27)(  7, 13)(  9, 20)( 10, 36)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 35)( 19, 31)( 22, 43)( 23, 39)( 25, 30)( 26, 44)( 28, 34)( 29, 56)( 32, 47)( 33, 59)( 37, 42)( 38, 48)
        ( 40, 51)( 41, 68)( 45, 55)( 46, 52)( 49, 67)( 50, 63)( 53, 75)( 54, 71)( 57, 62)( 58, 76)( 60, 66)( 61, 88)
        ( 64, 79)( 65, 91)( 69, 74)( 70, 80)( 72, 83)( 73,100)( 77, 87)( 78, 84)( 81, 99)( 82, 95)( 85,107)( 86,103)
        ( 89, 94)( 90,108)( 92, 98)( 93,120)( 96,111)( 97,123)(101,106)(102,112)(104,115)(105,132)(109,119)(110,116)
        (113,131)(114,127)(117,139)(118,135)(121,126)(122,140)(124,130)(125,152)(128,143)(129,154)(133,138)(134,144)
        (136,147)(137,145)(141,151)(142,148)(146,158)(149,156)(150,159)(153,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,130)( 64, 96)( 66, 72)( 67,126)( 70, 76)( 71,122)( 74,100)( 75,118)
        ( 79,116)( 80,113)( 82, 88)( 83,143)( 84,132)( 86, 91)( 87,147)( 90, 95)( 93, 99)( 94,148)( 97,134)( 98,151)
        (101,107)(102,158)(103,136)(105,111)(106,159)(109,115)(110,157)(114,138)(117,123)(119,139)(121,127)(125,131)
        (129,135)(133,140)(137,155)(141,146)(142,152)(144,150)(145,153)(149,154)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 33)( 18, 37)( 19, 56)( 23, 43)( 24, 40)( 26, 32)( 27, 63)( 28, 51)( 30, 36)( 31, 67)( 34, 45)
        ( 35, 71)( 39, 42)( 41, 57)( 44, 50)( 46, 58)( 48, 54)( 49, 72)( 52, 59)( 53, 75)( 60, 66)( 61, 87)( 62, 79)
        ( 64, 70)( 65, 91)( 68, 74)( 69, 95)( 73, 78)( 76, 82)( 77, 96)( 80, 83)( 81, 99)( 84, 90)( 85,111)( 86,103)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 97,102)(100,106)(101,120)(104,107)(105,123)(108,114)(109,134)(110,127)
        (112,118)(113,138)(116,122)(117,142)(121,126)(124,130)(125,143)(128,131)(129,146)(132,137)(133,150)(135,141)
        (136,155)(139,145)(140,157)(144,149)(147,153)(148,158)(151,154)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 43)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 32)( 18, 36)( 19, 56)( 23, 39)( 25, 31)( 26, 63)( 27, 47)( 29, 35)( 30, 67)( 33, 51)( 34, 71)
        ( 38, 42)( 40, 46)( 41, 57)( 44, 50)( 45, 53)( 48, 59)( 49, 76)( 52, 58)( 54, 75)( 60, 66)( 61, 87)( 62, 79)
        ( 64, 70)( 65, 91)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 83)( 81,100)( 84, 90)( 85,111)( 86,103)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,107)(105,124)(108,114)(109,134)(110,127)
        (112,118)(113,138)(116,122)(117,142)(120,126)(121,146)(125,130)(128,131)(129,147)(132,137)(133,150)(135,141)
        (136,155)(139,145)(140,157)(143,149)(144,158)(148,153)(151,154)(152,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 33)( 12, 21)( 14, 19)
        ( 15, 22)( 16, 32)( 18, 36)( 23, 38)( 25, 31)( 26, 47)( 27, 39)( 29, 35)( 30, 51)( 34, 42)( 40, 43)( 41, 52)
        ( 44, 50)( 45, 63)( 46, 55)( 48, 54)( 49, 67)( 53, 58)( 56, 59)( 57, 68)( 60, 66)( 61, 79)( 62, 71)( 64, 70)
        ( 65, 83)( 69, 74)( 72, 75)( 73, 84)( 76, 82)( 77, 95)( 78, 87)( 80, 86)( 81, 99)( 85, 90)( 88, 91)( 89,100)
        ( 92, 98)( 93,111)( 94,103)( 96,102)( 97,115)(101,106)(104,107)(105,116)(108,114)(109,127)(110,119)(112,118)
        (113,131)(117,122)(120,123)(121,132)(124,130)(125,143)(126,135)(128,134)(129,147)(133,138)(136,139)(137,148)
        (140,146)(141,156)(142,151)(144,150)(145,158)(149,154)(152,155)(153,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43,100)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 74)( 59, 99)( 62, 68)( 63,128)( 64, 93)( 66, 72)( 67,131)( 70, 76)( 71,135)( 75, 84)( 79,112)
        ( 80,108)( 82, 88)( 83,136)( 86, 92)( 87,139)( 90, 95)( 91,143)( 94,124)( 97,103)( 98,121)(101,107)(102,146)
        (105,111)(106,150)(109,115)(110,151)(113,119)(114,154)(117,123)(118,155)(122,149)(125,130)(126,158)(127,144)
        (129,134)(132,138)(133,159)(137,142)(140,145)(141,160)(147,153)(148,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 35)( 31, 83)( 34, 60)
        ( 37, 43)( 38, 91)( 39, 71)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,100)( 53, 59)( 54,103)( 57, 75)
        ( 58,107)( 61, 66)( 62, 84)( 64, 70)( 65,116)( 68, 74)( 69,119)( 72, 87)( 73,123)( 76, 82)( 77,131)( 78,111)
        ( 80, 86)( 81,135)( 85,115)( 88, 94)( 89,139)( 90,127)( 92, 98)( 93,143)( 96,102)( 97,147)(101,106)(104,110)
        (105,148)(108,114)(109,151)(112,128)(113,142)(117,122)(118,136)(120,126)(121,156)(124,130)(125,158)(129,134)
        (132,138)(133,159)(137,155)(140,146)(141,152)(144,150)(145,153)(149,154)(157,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 29)( 18, 32)( 19, 60)( 23, 40)( 25, 31)( 26, 72)( 27, 48)( 30, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 68)( 50, 95)( 53, 59)( 54,104)( 55, 73)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 76)( 66,115)( 69, 75)( 70,127)( 71, 99)( 74,103)( 77, 83)( 78,135)( 79,119)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 94)( 90,145)( 93, 98)( 96,102)( 97,146)(100,123)(101,149)(105,110)
        (106,128)(108,114)(109,154)(112,118)(113,155)(116,122)(117,157)(120,131)(121,158)(124,130)(125,159)(126,134)
        (129,153)(132,137)(133,150)(136,141)(139,144)(140,151)(143,148)(147,152)(156,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 29)( 18, 32)( 19, 60)( 23, 40)( 25, 31)( 26, 72)( 27, 48)( 30, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 68)( 50, 96)( 53, 59)( 54,107)( 55, 73)( 57, 63)
        ( 58,111)( 61, 67)( 62,115)( 65, 76)( 66,119)( 69, 75)( 70,106)( 71, 99)( 74,103)( 77, 83)( 78,135)( 79,123)
        ( 81, 87)( 82,139)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 98)( 94,149)( 97,102)(100,127)(101,150)(104,110)
        (105,128)(108,114)(109,153)(112,118)(113,157)(116,122)(117,158)(120,126)(121,159)(124,131)(125,155)(129,156)
        (130,134)(132,138)(133,151)(136,141)(137,147)(140,144)(143,148)(146,152)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 32)( 18, 36)( 19, 60)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,103)( 53, 68)( 54,107)( 58, 63)
        ( 59, 84)( 61, 67)( 62,116)( 65, 88)( 66,117)( 69, 75)( 70,127)( 71,111)( 73, 79)( 74,128)( 77, 83)( 78,131)
        ( 81, 87)( 82,132)( 85,115)( 86,135)( 89, 95)( 90,143)( 91,119)( 93, 99)( 94,146)( 97,102)( 98,150)(101,106)
        (104,110)(105,151)(108,114)(109,154)(112,123)(113,157)(118,122)(120,139)(121,136)(124,130)(125,137)(126,142)
        (129,134)(133,138)(140,145)(141,158)(144,149)(147,153)(148,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 29)( 18, 32)( 19, 60)( 23, 40)( 25, 31)( 26, 72)( 27, 48)( 30, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 83)( 41, 47)( 42, 87)( 45, 51)( 46, 91)( 49, 68)( 50, 95)( 53, 59)( 54,106)( 55, 73)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 76)( 66,115)( 69, 75)( 70,105)( 71, 98)( 74,102)( 77, 82)( 78,130)( 79,118)
        ( 81, 86)( 84, 90)( 85,131)( 88, 94)( 89,134)( 92, 97)( 93,138)( 96,101)( 99,122)(100,139)(103,109)(104,123)
        (107,113)(108,146)(111,117)(112,150)(116,121)(119,126)(120,151)(124,149)(125,142)(127,133)(128,158)(129,154)
        (132,137)(135,141)(136,159)(140,145)(143,155)(144,160)(147,153)(148,156)(152,157),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 39)( 34, 72)( 37, 56)
        ( 38, 76)( 41, 47)( 42, 88)( 43, 57)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54, 99)( 58, 84)( 59, 80)
        ( 61, 67)( 62,114)( 63,103)( 65, 71)( 66,118)( 69, 75)( 70,119)( 73, 79)( 74,122)( 77, 83)( 78,126)( 81,107)
        ( 82,130)( 85, 91)( 86,134)( 87,108)( 89, 95)( 90,138)( 93, 98)( 94,142)( 97,102)(100,106)(101,143)(104,110)
        (105,146)(109,131)(111,117)(112,157)(113,149)(115,121)(116,158)(120,125)(123,129)(124,159)(127,133)(128,155)
        (132,137)(135,141)(136,156)(139,145)(140,151)(144,148)(147,152)(150,153)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 36)(  8, 16)( 10, 20)( 11, 40)( 14, 19)( 15, 28)
        ( 17, 32)( 18, 49)( 21, 27)( 22, 59)( 23, 44)( 25, 31)( 26, 63)( 29, 48)( 30, 67)( 33, 39)( 34, 79)( 35, 52)
        ( 37, 43)( 38, 83)( 41, 47)( 42, 87)( 45, 56)( 46, 91)( 50, 55)( 51, 71)( 53, 75)( 54,100)( 57, 62)( 58, 95)
        ( 60, 66)( 61,107)( 64, 70)( 65,110)( 68, 74)( 69,114)( 72, 99)( 73,117)( 76, 82)( 77,129)( 78,103)( 80, 86)
        ( 81,133)( 84, 90)( 85,134)( 88, 94)( 89,137)( 92, 98)( 93,141)( 96,106)( 97,142)(101,105)(102,121)(104,125)
        (108,113)(109,145)(111,116)(112,150)(115,120)(118,124)(119,151)(122,128)(123,153)(126,132)(127,154)(130,136)
        (131,157)(135,140)(138,144)(139,158)(143,148)(146,149)(147,159)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 39)( 34, 72)( 37, 56)
        ( 38, 76)( 41, 47)( 42, 87)( 43, 57)( 45, 51)( 46, 91)( 49, 55)( 50, 95)( 53, 60)( 54, 98)( 58, 84)( 59, 80)
        ( 61, 67)( 62,114)( 63,102)( 65, 71)( 66,118)( 69, 75)( 70,119)( 73, 79)( 74,122)( 77, 83)( 78,126)( 81,106)
        ( 82,127)( 85, 90)( 86,107)( 88, 94)( 89,135)( 92, 97)( 93,138)( 96,101)( 99,105)(100,139)(103,110)(104,142)
        (108,134)(109,130)(111,117)(112,154)(113,146)(115,121)(116,157)(120,125)(123,129)(124,158)(128,133)(131,149)
        (132,159)(136,141)(137,150)(140,145)(143,148)(144,151)(147,153)(152,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 36)(  8, 16)( 10, 20)( 11, 40)( 14, 19)( 15, 28)
        ( 17, 32)( 18, 49)( 21, 27)( 22, 59)( 23, 44)( 25, 31)( 26, 63)( 29, 48)( 30, 67)( 33, 39)( 34, 72)( 35, 51)
        ( 37, 43)( 38, 75)( 41, 47)( 42, 79)( 45, 55)( 46, 83)( 50, 54)( 52, 71)( 53, 68)( 56, 62)( 57, 98)( 58, 87)
        ( 60, 66)( 61,102)( 64, 70)( 65,106)( 69, 94)( 73, 78)( 74, 91)( 76, 82)( 77,111)( 80, 86)( 81,114)( 84, 90)
        ( 85,118)( 88, 95)( 89,122)( 92,110)( 93,107)( 96,101)( 97,126)( 99,105)(100,135)(103,109)(104,138)(108,133)
        (112,117)(113,130)(115,121)(116,143)(119,125)(120,146)(123,129)(124,150)(127,134)(128,151)(131,142)(132,139)
        (136,141)(137,154)(140,160)(144,149)(145,158)(147,153)(148,156)(152,157)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 63)( 27, 52)( 29, 35)( 30, 67)( 33, 39)( 34, 71)( 37, 56)
        ( 38, 75)( 41, 47)( 42, 79)( 43, 57)( 45, 51)( 46, 83)( 49, 55)( 50, 87)( 53, 59)( 54, 91)( 58, 76)( 60, 66)
        ( 61,103)( 62, 95)( 64, 70)( 65,107)( 68, 74)( 69,111)( 72, 78)( 73,115)( 77, 82)( 80, 86)( 81,116)( 84, 90)
        ( 85,119)( 88, 94)( 89,123)( 92, 98)( 93,127)( 96, 99)( 97,131)(100,106)(101,142)(102,134)(104,110)(105,143)
        (108,114)(109,146)(112,118)(113,150)(117,122)(120,126)(121,151)(124,130)(125,154)(128,133)(129,158)(132,137)
        (135,138)(136,159)(139,145)(140,148)(141,156)(144,149)(147,153)(152,157)(155,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 23)(  4,  9)(  6, 12)(  7, 35)(  8, 16)( 10, 20)( 11, 39)( 14, 19)( 15, 27)
        ( 17, 31)( 18, 48)( 21, 26)( 22, 43)( 24, 30)( 25, 56)( 28, 47)( 29, 59)( 32, 38)( 33, 71)( 34, 51)( 36, 42)
        ( 37, 75)( 40, 46)( 41, 79)( 44, 55)( 45, 80)( 49, 54)( 50, 63)( 52, 67)( 53, 88)( 57, 62)( 58, 83)( 60, 66)
        ( 61, 96)( 64, 87)( 65, 99)( 68, 74)( 69,111)( 70, 91)( 72, 78)( 73,115)( 76, 82)( 77,119)( 81, 86)( 84, 95)
        ( 85,120)( 89, 94)( 90,103)( 92,107)( 93,128)( 97,102)( 98,123)(100,106)(101,135)(104,127)(105,138)(108,114)
        (109,143)(110,130)(112,118)(113,146)(116,122)(117,150)(121,126)(124,134)(125,151)(129,133)(131,142)(132,139)
        (136,141)(137,154)(140,160)(144,149)(145,158)(147,153)(148,156)(152,157)(155,159),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 43)( 15, 21)
        ( 17, 24)( 18, 47)( 22, 40)( 23, 36)( 25, 31)( 26, 63)( 27, 51)( 29, 35)( 30, 67)( 33, 39)( 34, 71)( 37, 55)
        ( 38, 72)( 41, 46)( 42, 56)( 44, 50)( 45, 80)( 48, 54)( 49, 83)( 52, 59)( 53, 87)( 57, 79)( 58, 75)( 60, 66)
        ( 61,103)( 62, 91)( 64, 70)( 65,107)( 68, 74)( 69,111)( 73, 78)( 76, 95)( 77,112)( 81, 86)( 82, 96)( 84, 90)
        ( 85,120)( 88, 94)( 89,123)( 92, 99)( 93,127)( 97,119)( 98,115)(100,106)(101,139)(102,131)(104,110)(105,142)
        (108,114)(109,146)(113,118)(116,134)(117,147)(121,126)(122,135)(124,130)(125,155)(128,133)(129,157)(132,138)
        (136,154)(137,150)(140,145)(141,158)(143,149)(144,152)(148,153)(151,159)(156,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 23)(  4,  9)(  6, 12)(  7, 35)(  8, 16)( 10, 20)( 11, 39)( 14, 19)( 15, 27)
        ( 17, 31)( 18, 48)( 21, 26)( 22, 43)( 24, 30)( 25, 56)( 28, 47)( 29, 59)( 32, 38)( 33, 71)( 34, 51)( 36, 42)
        ( 37, 75)( 40, 46)( 41, 79)( 44, 55)( 45, 80)( 49, 54)( 50, 63)( 52, 67)( 53, 88)( 57, 62)( 58, 83)( 60, 66)
        ( 61, 96)( 64, 87)( 65, 99)( 68, 74)( 69,111)( 70, 91)( 72, 78)( 73,115)( 76, 82)( 77,119)( 81, 86)( 84, 95)
        ( 85,120)( 89, 94)( 90,103)( 92,107)( 93,128)( 97,102)( 98,123)(100,106)(101,135)(104,127)(105,138)(108,114)
        (109,149)(110,131)(112,118)(113,150)(116,122)(117,153)(121,126)(124,134)(125,154)(129,133)(130,141)(132,145)
        (136,140)(137,157)(139,144)(142,148)(143,158)(146,152)(147,159)(151,156)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 43)( 15, 21)
        ( 17, 24)( 18, 47)( 22, 40)( 23, 36)( 25, 31)( 26, 63)( 27, 51)( 29, 35)( 30, 67)( 33, 39)( 34, 71)( 37, 55)
        ( 38, 72)( 41, 46)( 42, 56)( 44, 50)( 45, 80)( 48, 54)( 49, 83)( 52, 59)( 53, 87)( 57, 79)( 58, 75)( 60, 66)
        ( 61,103)( 62, 91)( 64, 70)( 65,107)( 68, 74)( 69,111)( 73, 78)( 76, 95)( 77,112)( 81, 86)( 82, 96)( 84, 90)
        ( 85,120)( 88, 94)( 89,123)( 92, 99)( 93,127)( 97,119)( 98,115)(100,106)(101,142)(102,130)(104,110)(105,143)
        (108,114)(109,146)(113,118)(116,134)(117,147)(121,126)(122,135)(124,129)(125,155)(128,133)(131,138)(132,156)
        (136,154)(137,150)(139,145)(140,152)(141,158)(144,149)(148,153)(151,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156,157)(158,159,160) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 27)(  7, 15)(  9, 19)( 10, 28)( 13, 18)( 14, 20)( 16, 23)
        ( 17, 36)( 21, 35)( 22, 31)( 24, 30)( 25, 51)( 26, 39)( 29, 34)( 32, 43)( 33, 52)( 37, 42)( 38, 44)( 40, 47)
        ( 41, 60)( 45, 59)( 46, 55)( 48, 54)( 49, 75)( 50, 63)( 53, 58)( 56, 67)( 57, 76)( 61, 66)( 62, 68)( 64, 71)
        ( 65, 84)( 69, 83)( 70, 79)( 72, 78)( 73, 99)( 74, 87)( 77, 82)( 80, 91)( 81,100)( 85, 90)( 86, 92)( 88, 95)
        ( 89,108)( 93,107)( 94,103)( 96,102)( 97,123)( 98,111)(101,106)(104,115)(105,124)(109,114)(110,116)(112,119)
        (113,132)(117,131)(118,127)(120,126)(121,147)(122,135)(125,130)(128,139)(129,148)(133,138)(134,140)(136,143)
        (137,156)(141,155)(142,151)(144,150)(145,153)(146,158)(149,154)(152,159)(157,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156,157)(158,159,160) ) ];
