return [ rec(
      invers := (  1,  3)(  2,  7)(  4, 10)(  5, 15)(  6,  8)(  9, 11)( 12, 18)( 13, 23)( 14, 16)( 17, 19)( 20, 26)
        ( 21, 31)( 22, 24)( 25, 27)( 28, 34)( 29, 39)( 30, 32)( 33, 35)( 36, 42)( 37, 47)( 38, 40)( 41, 43)( 44, 50)
        ( 45, 55)( 46, 48)( 49, 51)( 52, 58)( 53, 63)( 54, 56)( 57, 59)( 60, 66)( 61, 71)( 62, 64)( 65, 67)( 68, 74)
        ( 69, 79)( 70, 72)( 73, 75)( 76, 82)( 77, 87)( 78, 80)( 81, 83)( 84, 90)( 85, 95)( 86, 88)( 89, 91)( 92, 98)
        ( 93,103)( 94, 96)( 97, 99)(100,106)(101,111)(102,104)(105,107)(108,114)(109,119)(110,112)(113,115)(116,122)
        (117,127)(118,120)(121,123)(124,130)(125,135)(126,128)(129,131)(132,138)(133,143)(134,136)(137,139)(140,146)
        (141,151)(142,144)(145,147)(148,154)(149,158)(150,152)(153,155)(156,160)(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,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 27)(  7, 16)(  9, 20)( 10, 31)( 13, 19)( 14, 35)( 15, 21)
        ( 17, 23)( 18, 39)( 22, 32)( 24, 30)( 25, 51)( 26, 43)( 28, 34)( 29, 55)( 33, 38)( 36, 42)( 37, 56)( 40, 46)
        ( 41, 59)( 44, 47)( 45, 63)( 48, 54)( 49, 75)( 50, 67)( 52, 58)( 53, 79)( 57, 62)( 60, 66)( 61, 80)( 64, 70)
        ( 65, 83)( 68, 71)( 69, 87)( 72, 78)( 73, 99)( 74, 91)( 76, 82)( 77,103)( 81, 86)( 84, 90)( 85,104)( 88, 94)
        ( 89,107)( 92, 95)( 93,111)( 96,102)( 97,123)( 98,115)(100,106)(101,127)(105,110)(108,114)(109,128)(112,118)
        (113,131)(116,119)(117,135)(120,126)(121,147)(122,139)(124,130)(125,151)(129,134)(132,138)(133,152)(136,142)
        (137,155)(140,143)(141,160)(144,150)(145,149)(146,157)(148,154)(153,158)(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, 11)(  6, 24)(  7, 16)(  9, 19)( 10, 27)( 13, 18)( 14, 39)( 15, 20)
        ( 17, 23)( 21, 35)( 22, 31)( 25, 30)( 26, 40)( 28, 34)( 29, 48)( 32, 43)( 33, 51)( 36, 42)( 37, 63)( 38, 44)
        ( 41, 47)( 45, 59)( 46, 55)( 49, 54)( 50, 64)( 52, 58)( 53, 72)( 56, 67)( 57, 75)( 60, 66)( 61, 87)( 62, 68)
        ( 65, 71)( 69, 83)( 70, 79)( 73, 78)( 74, 88)( 76, 82)( 77, 96)( 80, 91)( 81, 99)( 84, 90)( 85,111)( 86, 92)
        ( 89, 95)( 93,107)( 94,103)( 97,102)( 98,112)(100,106)(101,120)(104,115)(105,123)(108,114)(109,135)(110,116)
        (113,119)(117,131)(118,127)(121,126)(122,136)(124,130)(125,144)(128,139)(129,147)(132,138)(133,155)(134,140)
        (137,143)(141,152)(142,151)(145,150)(146,156)(148,154)(149,160)(153,158)(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, 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)( 54,100)( 58, 84)( 59, 80)
        ( 61, 67)( 62,116)( 63,104)( 65, 71)( 66,120)( 69, 75)( 70,124)( 73, 79)( 74,128)( 77, 83)( 78,132)( 81,108)
        ( 82,136)( 85, 91)( 86,148)( 87,109)( 89, 95)( 90,152)( 93, 99)( 94,157)( 97,103)( 98,154)(101,107)(102,150)
        (105,112)(106,146)(110,144)(111,140)(113,119)(114,142)(115,158)(117,123)(118,138)(121,127)(122,134)(125,131)
        (126,130)(129,135)(133,139)(137,143)(141,159)(145,151)(147,160)(149,155)(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, 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, 86)
        ( 36, 61)( 38, 44)( 39, 90)( 42, 48)( 43, 94)( 46, 64)( 47, 98)( 50, 56)( 51, 96)( 52, 80)( 54, 60)( 55, 92)
        ( 58, 63)( 59, 88)( 62, 84)( 65, 71)( 66,109)( 67,102)( 69, 75)( 70,113)( 73, 79)( 74,117)( 77, 83)( 78,121)
        ( 81,100)( 82,125)( 85, 89)( 87, 93)( 91, 97)( 95,101)( 99,105)(103,106)(104,126)(107,112)(108,129)(110,116)
        (111,134)(114,120)(115,137)(118,124)(119,141)(122,128)(123,145)(127,132)(130,133)(131,146)(135,140)(136,149)
        (138,144)(139,154)(142,148)(143,157)(147,152)(150,153)(151,158)(155,160)(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, 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, 81)( 54, 60)( 55,115)
        ( 58, 64)( 59,119)( 62, 84)( 63,123)( 66, 72)( 67,133)( 68,104)( 70, 76)( 71,137)( 74, 80)( 75,141)( 78, 83)
        ( 79,145)( 82,107)( 85, 91)( 86,109)( 87,127)( 89, 95)( 90,147)( 93, 99)( 94,143)( 97,103)( 98,139)(101,106)
        (102,135)(105,131)(108,114)(110,146)(112,118)(113,128)(116,122)(117,149)(120,126)(121,153)(124,130)(125,157)
        (129,152)(132,136)(134,140)(138,144)(142,148)(150,156)(151,158)(154,160)(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, 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, 66)( 24, 45)( 26, 32)( 27, 70)( 30, 49)( 31, 74)( 34, 40)( 35, 55)
        ( 36, 61)( 38, 44)( 39, 51)( 42, 48)( 43, 79)( 46, 62)( 47, 82)( 50, 56)( 52, 78)( 54, 59)( 58, 60)( 63, 69)
        ( 64, 94)( 65, 86)( 67, 73)( 68, 98)( 71, 77)( 72,102)( 75, 81)( 76,106)( 80, 85)( 83, 89)( 84,107)( 87, 90)
        ( 88,110)( 91, 97)( 92,122)( 93,114)( 95,101)( 96,125)( 99,105)(100,129)(103,109)(104,133)(108,113)(111,117)
        (112,134)(115,118)(116,137)(119,124)(120,149)(121,141)(123,128)(126,132)(127,150)(130,136)(131,153)(135,140)
        (138,144)(139,154)(142,145)(143,157)(146,152)(147,159)(148,158)(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, 12)(  7, 39)(  8, 17)( 10, 21)( 11, 43)( 14, 20)( 15, 38)
        ( 16, 29)( 18, 36)( 19, 34)( 22, 28)( 23, 55)( 24, 47)( 26, 32)( 27, 59)( 30, 41)( 31, 63)( 33, 35)( 37, 42)
        ( 40, 46)( 44, 50)( 45, 64)( 48, 51)( 49, 67)( 52, 58)( 53, 79)( 54, 71)( 56, 62)( 57, 83)( 60, 66)( 61, 87)
        ( 65, 70)( 68, 74)( 69, 88)( 72, 75)( 73, 91)( 76, 82)( 77,103)( 78, 95)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 89, 94)( 92, 98)( 93,112)( 96, 99)( 97,115)(100,106)(101,126)(102,119)(104,110)(105,130)(108,114)(109,134)
        (113,118)(116,122)(117,135)(120,123)(121,138)(124,129)(125,142)(127,133)(128,147)(131,137)(132,150)(136,141)
        (139,145)(140,151)(143,146)(144,154)(148,153)(149,160)(152,157)(155,159)(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, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 34)( 19, 33)( 22, 28)( 23, 61)( 24, 45)( 26, 32)( 27, 65)( 30, 49)( 31, 69)( 35, 40)( 36, 54)
        ( 38, 44)( 39, 55)( 42, 48)( 43, 51)( 46, 57)( 47, 74)( 50, 56)( 52, 73)( 58, 64)( 59, 85)( 60, 77)( 62, 68)
        ( 63, 89)( 66, 72)( 67, 93)( 70, 76)( 71, 97)( 75, 80)( 78, 81)( 79, 98)( 82, 88)( 83,109)( 84,101)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 94,100)( 95,121)( 99,104)(102,105)(103,122)(106,112)(107,133)(108,125)(110,116)
        (111,136)(114,120)(115,140)(118,124)(119,144)(123,128)(126,129)(127,145)(130,135)(131,154)(132,148)(134,139)
        (137,143)(138,155)(141,147)(142,158)(146,151)(149,152)(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, 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, 91)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58, 99)( 59, 95)
        ( 61, 67)( 62,115)( 63,100)( 65, 71)( 66,119)( 69, 75)( 70,120)( 73, 79)( 74,123)( 77,103)( 78,127)( 81, 87)
        ( 82,139)( 83,104)( 85, 90)( 86,143)( 89, 94)( 92, 98)( 93,144)( 96,107)( 97,147)(101,111)(102,108)(105,135)
        (106,131)(109,151)(110,133)(112,118)(113,160)(114,152)(116,122)(117,157)(121,126)(124,130)(125,158)(128,134)
        (129,154)(132,148)(136,142)(137,141)(138,149)(140,146)(145,150)(153,155)(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, 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)( 90,152)( 93, 99)( 94,149)( 97,108)( 98,145)(102,112)(103,109)
        (106,139)(107,135)(110,153)(111,141)(113,119)(114,129)(115,154)(117,122)(118,125)(121,126)(124,130)(128,134)
        (132,138)(133,155)(136,158)(137,157)(140,146)(142,159)(144,150)(148,151)(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)( 70,124)( 73, 79)( 74,128)( 77,104)( 78,132)( 81, 87)
        ( 82,144)( 83,105)( 85, 91)( 86,149)( 89, 95)( 90,146)( 93, 99)( 94,142)( 97,108)( 98,150)(102,112)(103,109)
        (106,140)(107,136)(110,157)(111,154)(113,119)(114,134)(115,158)(117,123)(118,130)(121,127)(122,126)(125,131)
        (129,135)(133,139)(137,152)(138,159)(141,147)(143,153)(145,148)(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, 23)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 24)( 17, 27)( 18, 55)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 71)( 30, 59)( 32, 38)( 33, 75)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 63)( 45, 87)( 48, 54)( 49, 95)( 50, 64)( 52, 58)( 53, 99)( 56, 62)( 57,103)
        ( 60, 67)( 61,107)( 65, 91)( 66, 88)( 68, 74)( 69,112)( 70,111)( 72, 78)( 73,120)( 76, 82)( 77,123)( 80, 86)
        ( 81,127)( 84, 90)( 85,118)( 89,115)( 92, 98)( 93,131)( 94,116)( 96,102)( 97,135)(100,106)(101,139)(104,110)
        (105,143)(108,114)(109,147)(113,119)(117,128)(121,126)(122,148)(124,130)(125,152)(129,134)(132,138)(133,153)
        (136,142)(137,155)(140,146)(141,160)(144,150)(145,157)(149,151)(154,158)(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, 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)( 53,111)( 54, 64)( 57, 67)
        ( 61, 87)( 62, 83)( 65,107)( 66,103)( 68, 74)( 69,124)( 70,112)( 72, 78)( 73,127)( 76, 82)( 77,131)( 80, 86)
        ( 81,135)( 84,116)( 85,115)( 88, 94)( 89,139)( 90,117)( 92, 98)( 93,143)( 96,102)( 97,147)(100,106)(101,152)
        (104,119)(105,149)(108,114)(109,157)(110,120)(113,123)(118,136)(121,153)(122,145)(125,130)(126,158)(128,134)
        (129,159)(132,138)(133,155)(137,142)(140,146)(141,156)(144,150)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (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, 48)
        ( 15, 25)( 17, 28)( 18, 51)( 22, 36)( 23, 32)( 26, 47)( 27, 44)( 30, 35)( 31, 55)( 33, 59)( 34, 68)( 37, 43)
        ( 38, 79)( 39, 60)( 41, 46)( 42, 83)( 45, 63)( 49, 54)( 50, 64)( 52, 58)( 53, 88)( 56, 67)( 57, 91)( 61, 75)
        ( 62, 71)( 65, 87)( 66, 84)( 69, 74)( 70, 95)( 72, 99)( 73,108)( 76, 82)( 77,119)( 78,100)( 80, 86)( 81,123)
        ( 85,103)( 89, 94)( 90,104)( 92, 98)( 93,128)( 96,107)( 97,131)(101,115)(102,111)(105,127)(106,124)(109,114)
        (110,135)(112,139)(113,148)(116,122)(117,141)(118,140)(120,126)(121,152)(125,143)(129,134)(130,144)(132,138)
        (133,156)(136,147)(137,160)(142,151)(145,155)(146,153)(149,154)(150,158)(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, 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, 74)( 31, 64)( 33, 39)( 34, 78)
        ( 37, 68)( 38, 82)( 41, 47)( 42, 94)( 43, 69)( 45, 51)( 46, 98)( 49, 55)( 50,102)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 72)( 66,118)( 70, 90)( 71, 86)( 73, 77)( 75, 81)( 76,119)( 79, 85)( 80,127)
        ( 83, 89)( 84,128)( 87,122)( 88,130)( 91, 97)( 92,141)( 93,123)( 95,101)( 96,145)( 99,105)(100,149)(103,109)
        (104,153)(107,113)(108,157)(111,117)(112,136)(115,121)(116,132)(120,126)(124,138)(125,134)(129,133)(131,137)
        (135,158)(139,144)(140,159)(142,148)(143,155)(146,152)(147,151)(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,  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)( 74,134)( 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)
        (102,158)(105,111)(106,149)(109,128)(110,127)(114,119)(115,129)(117,123)(118,144)(121,132)(122,140)(126,146)
        (130,143)(133,137)(136,141)(139,145)(147,153)(148,159)(151,157)(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, 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)( 74,137)( 75,120)( 77, 83)( 78,134)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89,124)( 90,131)( 93, 99)( 94,150)( 95,125)( 97,103)( 98,153)(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)(133,136)(135,141)(139,145)(147,152)(148,158)(151,156)(154,160)(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,  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)( 74,135)( 75,119)( 77, 82)( 78,136)
        ( 81, 86)( 84, 90)( 85,137)( 88,123)( 89,133)( 92, 98)( 93,148)( 94,124)( 96,102)( 97,145)(100,106)(101,149)
        (104,110)(105,153)(108,128)(109,127)(112,118)(113,157)(114,129)(117,122)(120,131)(121,158)(125,143)(126,139)
        (130,154)(132,138)(134,142)(140,151)(141,159)(144,147)(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,  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)( 54,116)( 55, 69)
        ( 58, 63)( 61, 72)( 62,117)( 66, 92)( 67, 88)( 70,112)( 71,108)( 73, 79)( 74,137)( 75,120)( 77, 83)( 78,134)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89,124)( 90,146)( 93, 99)( 94,106)( 95,125)( 97,103)( 98,102)(101,107)
        (105,111)(109,128)(110,126)(113,119)(114,157)(115,129)(118,123)(121,132)(122,158)(127,150)(130,153)(131,151)
        (133,136)(135,141)(139,145)(140,159)(143,149)(144,155)(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, 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)( 53,111)( 54, 72)( 56, 62)
        ( 57,112)( 60, 66)( 61,115)( 64, 75)( 65,119)( 69, 87)( 70, 83)( 73,107)( 74,103)( 77, 82)( 78,123)( 80, 86)
        ( 81,136)( 84,128)( 85,127)( 88, 94)( 89,139)( 90,129)( 92, 98)( 93,143)( 96,102)( 97,147)(100,106)(101,152)
        (104,131)(105,149)(108,114)(109,157)(110,132)(113,118)(116,122)(117,158)(120,126)(121,159)(124,135)(125,155)
        (130,137)(133,153)(134,145)(138,142)(140,146)(141,156)(144,150)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (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)( 97,156)(100,106)(101,153)
        (104,127)(105,149)(108,114)(109,121)(110,128)(113,118)(117,122)(120,131)(125,143)(126,139)(129,134)(130,145)
        (132,138)(133,160)(137,142)(140,158)(141,157)(144,150)(146,159)(148,154)(152,155),
      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,  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)( 65,119)( 69, 91)( 70, 87)( 73,103)( 74, 99)( 76, 82)( 77,139)( 78,123)
        ( 81, 86)( 84, 90)( 85,140)( 88,127)( 89,141)( 93, 98)( 94,128)( 96,102)( 97,144)(100,131)(101,147)(104,110)
        (105,117)(106,132)(108,114)(109,113)(112,118)(116,122)(120,126)(121,133)(124,135)(125,152)(129,143)(130,137)
        (134,151)(136,142)(138,155)(145,150)(146,156)(148,154)(149,160)(153,158)(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, 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)( 46,100)( 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)( 78,147)
        ( 79,132)( 82, 87)( 85, 91)( 86,148)( 89,136)( 90,142)( 93, 99)( 94,106)( 95,137)( 97,103)( 98,102)(101,107)
        (105,111)(109,139)(110,138)(113,119)(114,145)(115,140)(117,123)(118,151)(121,127)(122,152)(125,131)(126,155)
        (129,135)(130,160)(133,143)(134,157)(141,149)(144,150)(146,154)(153,158)(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, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 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)( 62,123)( 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, 99)( 94, 98)( 95,136)( 97,103)(101,106)(102,137)
        (105,110)(108,139)(109,138)(112,118)(113,145)(114,140)(116,122)(117,151)(120,126)(121,155)(124,130)(125,160)
        (128,134)(129,157)(132,143)(133,153)(141,149)(144,150)(146,154)(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,  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)( 50,108)( 53, 59)( 54,120)( 55, 73)
        ( 57, 63)( 58,124)( 61, 67)( 62,128)( 65, 76)( 66,132)( 70, 96)( 71, 92)( 74,116)( 75,112)( 77, 83)( 78,126)
        ( 79,133)( 81, 87)( 82,122)( 85, 91)( 86,118)( 89, 95)( 90,142)( 93,136)( 94,143)( 97,103)( 98,148)( 99,137)
        (101,107)(102,152)(105,111)(106,155)(109,115)(110,147)(113,140)(114,139)(117,123)(119,141)(121,127)(125,131)
        (129,135)(130,134)(138,144)(145,151)(146,156)(149,154)(150,160)(153,158)(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, 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)( 66,132)( 70, 96)( 71, 92)( 74,115)( 75,111)( 77, 83)( 78,141)
        ( 79,129)( 81, 87)( 82,142)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93,133)( 94,140)( 97,102)( 98,157)( 99,134)
        (101,106)(104,110)(105,158)(108,114)(109,156)(112,137)(113,136)(116,122)(117,151)(118,138)(120,126)(121,147)
        (124,130)(125,144)(128,131)(135,153)(139,150)(143,148)(146,152)(154,160)(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,  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, 77)
        ( 37, 68)( 38, 81)( 41, 47)( 42, 89)( 43, 69)( 45, 51)( 46, 93)( 49, 71)( 50, 97)( 53, 59)( 54,106)( 55, 72)
        ( 57, 63)( 58,109)( 61, 67)( 62,113)( 65, 75)( 66,117)( 70, 85)( 73,105)( 74,101)( 76, 79)( 78, 84)( 82, 88)
        ( 83,118)( 86, 92)( 87,125)( 90, 96)( 91,129)( 94,100)( 95,133)( 98,104)( 99,137)(102,121)(103,141)(107,112)
        (108,122)(110,116)(111,150)(114,120)(115,153)(119,128)(123,149)(124,145)(126,132)(127,154)(130,136)(131,160)
        (134,140)(135,147)(138,144)(139,143)(142,148)(146,157)(151,156)(152,158)(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, 39)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 79)( 31, 63)( 33, 38)( 34, 83)
        ( 37, 67)( 40, 46)( 41, 74)( 42, 68)( 44, 50)( 45, 49)( 48, 71)( 52, 58)( 53, 91)( 54, 72)( 56, 62)( 57, 95)
        ( 60, 66)( 61, 99)( 64, 75)( 65,103)( 69, 87)( 70, 84)( 73, 88)( 76, 82)( 77,116)( 78,107)( 80, 86)( 81,119)
        ( 85,111)( 89, 94)( 90,112)( 92, 98)( 93,124)( 96,102)( 97,127)(100,106)(101,131)(104,110)(105,135)(108,115)
        (109,139)(113,123)(114,120)(117,122)(118,143)(121,147)(125,130)(126,148)(128,134)(129,152)(132,138)(133,155)
        (136,142)(137,160)(140,146)(141,157)(144,150)(145,154)(149,151)(153,158)(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, 22)( 11, 21)( 13, 19)( 14, 43)
        ( 15, 25)( 17, 28)( 18, 47)( 23, 36)( 26, 39)( 27, 37)( 29, 35)( 30, 59)( 31, 51)( 33, 38)( 34, 42)( 40, 46)
        ( 41, 60)( 44, 50)( 45, 63)( 48, 54)( 49, 67)( 52, 55)( 53, 71)( 56, 62)( 57, 83)( 58, 75)( 61, 66)( 64, 70)
        ( 65, 84)( 68, 74)( 69, 87)( 72, 78)( 73, 91)( 76, 79)( 77, 95)( 80, 86)( 81,107)( 82, 99)( 85, 90)( 88, 94)
        ( 89,108)( 92, 98)( 93,111)( 96,102)( 97,115)(100,103)(101,119)(104,110)(105,131)(106,123)(109,114)(112,118)
        (113,132)(116,122)(117,135)(120,126)(121,139)(124,127)(125,143)(128,134)(129,152)(130,147)(133,138)(136,142)
        (137,153)(140,146)(141,155)(144,150)(145,156)(148,151)(149,160)(154,158)(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, 24)(  4,  9)(  6, 17)(  7, 35)(  8, 14)( 10, 20)( 11, 43)( 12, 18)( 15, 31)
        ( 16, 27)( 19, 39)( 21, 26)( 22, 59)( 23, 47)( 25, 30)( 28, 51)( 29, 60)( 32, 38)( 33, 71)( 34, 52)( 36, 42)
        ( 37, 75)( 40, 46)( 41, 76)( 44, 50)( 45, 79)( 48, 55)( 49, 83)( 53, 67)( 54, 63)( 56, 62)( 57, 99)( 58, 87)
        ( 61, 66)( 64, 91)( 65,100)( 68, 74)( 69,111)( 70, 92)( 72, 78)( 73,115)( 77, 82)( 80, 86)( 81,116)( 84, 90)
        ( 85,119)( 88, 95)( 89,123)( 93,107)( 94,103)( 96,102)( 97,139)( 98,127)(101,106)(104,131)(105,140)(108,114)
        (109,147)(110,132)(112,118)(113,151)(117,122)(120,126)(121,152)(124,130)(125,155)(128,135)(129,160)(133,144)
        (134,143)(136,142)(137,149)(138,157)(141,146)(145,150)(148,154)(153,158)(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, 24)(  4,  9)(  6, 17)(  7, 35)(  8, 14)( 10, 20)( 11, 43)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 39)( 21, 27)( 22, 59)( 23, 47)( 25, 31)( 26, 63)( 29, 51)( 30, 67)( 33, 38)( 34, 52)( 36, 42)
        ( 37, 72)( 40, 46)( 41, 75)( 44, 50)( 45, 79)( 48, 55)( 49, 83)( 53, 71)( 54, 68)( 56, 62)( 57, 99)( 58, 87)
        ( 60, 66)( 61,103)( 64, 70)( 65,107)( 69, 91)( 73, 78)( 74, 92)( 76, 82)( 77,112)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 95)( 89,123)( 93,111)( 94,108)( 96,102)( 97,139)( 98,127)(100,106)(101,143)(104,110)(105,147)
        (109,131)(113,118)(114,132)(116,122)(117,152)(120,126)(121,138)(124,130)(125,129)(128,135)(133,151)(134,148)
        (136,142)(137,153)(140,146)(141,157)(144,150)(145,160)(149,155)(154,156)(158,159),
      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, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 44)( 20, 40)( 22, 27)( 23, 52)( 25, 31)( 26, 65)( 29, 56)( 30, 68)( 33, 39)( 34, 80)( 35, 57)
        ( 37, 43)( 38, 84)( 41, 60)( 42, 88)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,104)( 53, 64)( 54,108)( 58, 76)
        ( 59, 72)( 62, 96)( 63, 92)( 66, 71)( 67,112)( 69, 75)( 70,125)( 73,116)( 74,128)( 77, 83)( 78,137)( 79,117)
        ( 81, 87)( 82,140)( 85, 91)( 86,134)( 89, 95)( 90,130)( 93,120)( 94,127)( 97,103)( 98,148)( 99,121)(101,107)
        (102,152)(105,111)(106,155)(109,115)(110,147)(113,124)(114,123)(118,136)(119,132)(122,144)(126,131)(129,135)
        (133,141)(138,143)(139,142)(145,151)(146,156)(149,154)(150,160)(153,158)(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, 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, 88)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 89)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,104)( 53, 64)( 54,108)( 58, 84)
        ( 59, 80)( 62, 96)( 63, 92)( 65, 71)( 66,128)( 67,112)( 69, 75)( 70,132)( 73, 79)( 74,136)( 77, 83)( 78,140)
        ( 81,116)( 82,144)( 85, 91)( 86,126)( 87,117)( 90, 95)( 93,120)( 94,127)( 97,103)( 98,155)( 99,121)(101,107)
        (102,160)(105,111)(106,157)(109,115)(110,154)(113,124)(114,123)(118,130)(119,148)(122,152)(125,131)(129,135)
        (133,139)(134,149)(137,143)(138,150)(141,147)(142,146)(145,151)(153,158)(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, 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, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 68)( 50, 96)( 53, 59)( 54,108)( 55, 72)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 76)( 66,120)( 70, 75)( 71,100)( 73,104)( 74,129)( 77, 83)( 78,140)( 79,124)
        ( 81, 87)( 82,143)( 85, 91)( 86,144)( 89, 95)( 90,147)( 93, 99)( 94,151)( 97,103)( 98,155)(101,128)(102,160)
        (105,111)(106,126)(107,132)(109,115)(110,122)(113,119)(114,118)(117,123)(121,127)(125,136)(130,135)(131,157)
        (133,139)(134,153)(137,142)(138,149)(141,146)(145,150)(148,154)(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, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 31)( 17, 35)( 18, 56)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 59)( 40, 46)( 41, 91)( 44, 50)( 45, 66)( 48, 54)( 49, 53)( 52, 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)(134,152)
        (136,141)(137,156)(140,146)(144,150)(145,157)(148,154)(149,160)(153,155)(158,159),
      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, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 88)( 38, 60)( 40, 46)( 41, 85)( 44, 50)( 45, 89)( 48, 54)( 49, 93)( 52, 63)( 53, 97)( 56, 62)( 57, 91)
        ( 58, 79)( 61, 83)( 64, 70)( 65,109)( 66,101)( 68, 74)( 69,113)( 72, 78)( 73,117)( 76, 82)( 77,121)( 80, 95)
        ( 81,125)( 84, 87)( 86, 92)( 90, 96)( 94,100)( 98,104)( 99,126)(102,105)(103,129)(106,112)(107,138)(108,133)
        (110,116)(111,141)(114,120)(115,142)(118,124)(119,145)(122,128)(123,149)(127,132)(130,136)(131,150)(134,137)
        (135,153)(139,144)(140,157)(143,148)(146,152)(147,158)(151,156)(154,160)(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, 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, 70)( 27, 49)( 29, 35)( 30, 74)( 33, 52)( 34, 78)
        ( 37, 43)( 38, 80)( 39, 64)( 41, 47)( 42, 76)( 45, 51)( 46, 72)( 50, 68)( 53, 59)( 54, 90)( 55, 82)( 57, 63)
        ( 58, 94)( 61, 67)( 62, 98)( 65, 84)( 66,102)( 69, 73)( 71, 77)( 75, 81)( 79, 85)( 83, 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)(128,150)(129,143)(131,137)(132,153)(135,141)
        (136,157)(139,145)(140,149)(144,146)(147,152)(148,158)(151,156)(154,160)(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, 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, 75)( 27, 51)( 29, 34)( 32, 55)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 67)( 40, 46)( 41, 88)( 44, 50)( 45, 91)( 48, 54)( 49, 95)( 52, 71)( 53, 99)( 56, 62)( 57,111)
        ( 58, 79)( 60, 66)( 61,115)( 64, 70)( 65,119)( 68, 83)( 69,123)( 72, 78)( 73,135)( 74,103)( 77, 82)( 80,107)
        ( 81,136)( 84, 90)( 85,144)( 86,127)( 89, 94)( 92, 98)( 93,145)( 96,102)( 97,147)(100,106)(101,151)(104,131)
        (105,156)(108,114)(109,121)(110,139)(112,118)(113,117)(116,122)(120,126)(124,130)(125,140)(128,143)(129,157)
        (132,138)(133,159)(134,153)(137,142)(141,160)(146,150)(148,154)(149,158)(152,155),
      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, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 60)( 23, 43)( 25, 31)( 26, 71)( 27, 51)( 29, 35)( 30, 75)( 33, 55)( 34, 79)
        ( 37, 42)( 38, 91)( 39, 63)( 41, 46)( 44, 50)( 45, 92)( 48, 54)( 49, 95)( 52, 67)( 53, 99)( 56, 62)( 57, 65)
        ( 58, 83)( 61, 66)( 64, 87)( 68, 74)( 69,111)( 70,103)( 72, 78)( 73,115)( 76, 82)( 77,119)( 80, 86)( 81,123)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 93, 98)( 96,102)( 97,132)(100,106)(101,135)(104,107)(105,139)(108,114)
        (109,151)(110,143)(112,118)(113,155)(116,122)(117,160)(120,126)(121,157)(124,130)(125,153)(128,134)(129,149)
        (133,138)(136,142)(137,150)(140,146)(141,145)(144,147)(148,154)(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, 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, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58, 91)( 59, 84)( 62, 67)( 65, 89)( 66, 88)( 69, 75)( 70,120)( 71,112)( 73, 79)( 74,123)( 77, 83)( 78,127)
        ( 81, 87)( 82,131)( 85, 94)( 86,135)( 90, 95)( 93, 99)( 97,103)( 98,136)(101,107)(102,139)(105,111)(106,143)
        (109,115)(110,147)(113,116)(114,152)(117,122)(118,153)(119,149)(121,126)(124,130)(125,154)(128,134)(129,157)
        (132,138)(133,158)(137,142)(140,146)(141,159)(144,150)(145,156)(148,151)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(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, 65)( 39, 64)( 41, 47)( 42, 89)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 68)( 54,100)( 57, 63)
        ( 58, 91)( 59, 84)( 62, 67)( 66, 88)( 69, 75)( 70,111)( 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)
        (110,139)(112,118)(113,144)(116,122)(117,147)(120,126)(121,148)(124,130)(125,151)(129,134)(132,138)(133,152)
        (136,142)(137,155)(140,143)(141,160)(145,150)(146,157)(149,154)(153,158)(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, 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)
        ( 58,116)( 59, 80)( 61, 67)( 62,120)( 66, 84)( 69, 75)( 70,128)( 71,108)( 74, 79)( 77, 83)( 78,129)( 81,112)
        ( 82,132)( 85, 91)( 86,144)( 87,121)( 89, 95)( 90,148)( 93, 99)( 94,151)( 97,103)( 98,155)(101,107)(102,127)
        (105,111)(106,110)(109,124)(113,119)(114,142)(115,136)(117,123)(118,160)(122,140)(125,131)(126,156)(130,135)
        (133,139)(134,157)(137,146)(138,153)(141,147)(143,159)(145,150)(149,154)(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, 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)
        ( 58,120)( 59, 84)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 88)( 70,126)( 73, 79)( 74,134)( 75,112)( 77, 83)
        ( 78,138)( 82, 87)( 85,116)( 86,139)( 89, 95)( 90,146)( 91,122)( 93, 99)( 94,147)( 97,103)( 98,150)(101,107)
        (102,154)(105,111)(106,133)(109,115)(110,114)(113,130)(117,123)(118,149)(119,142)(121,127)(125,128)(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, 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, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,119)( 59, 85)( 61, 67)( 62,123)( 65, 71)( 66,127)( 69, 88)( 70,131)( 73, 79)( 74,143)( 75,111)( 77, 83)
        ( 78,147)( 81, 87)( 82,151)( 86,115)( 89, 95)( 90,117)( 91,135)( 93, 99)( 94,153)( 97,103)( 98,149)(101,107)
        (102,145)(105,110)(106,142)(109,114)(112,140)(113,139)(116,122)(118,152)(120,126)(121,136)(124,130)(125,155)
        (128,134)(129,156)(132,138)(133,160)(137,158)(141,146)(144,150)(148,154)(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, 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, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,120)( 59, 85)( 61, 67)( 62,124)( 65, 71)( 66,128)( 69, 88)( 70,132)( 73, 79)( 74,143)( 75,112)( 77, 83)
        ( 78,147)( 81, 87)( 82,151)( 86,116)( 89, 95)( 90,118)( 91,136)( 93, 99)( 94,153)( 97,103)( 98,149)(101,107)
        (102,145)(105,111)(106,142)(109,115)(110,114)(113,140)(117,123)(119,152)(121,127)(122,137)(125,131)(126,155)
        (129,135)(130,160)(133,139)(134,157)(138,158)(141,146)(144,150)(148,154)(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, 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)( 42,100)( 45, 51)( 46,104)( 49, 55)( 50,108)( 53, 72)( 54,112)( 57, 63)
        ( 58, 94)( 59, 88)( 61, 67)( 62,120)( 65, 71)( 66,124)( 69, 92)( 70,125)( 73, 79)( 74,131)( 75,116)( 77, 83)
        ( 78,135)( 81, 87)( 82,139)( 85, 91)( 86,140)( 89, 98)( 90,143)( 93, 99)( 95,123)( 97,103)(101,107)(102,144)
        (105,111)(106,147)(109,115)(110,151)(113,119)(114,155)(117,128)(118,160)(121,127)(122,126)(129,134)(130,157)
        (132,138)(133,153)(136,142)(137,149)(141,146)(145,150)(148,154)(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, 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, 95)( 39, 68)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 72)( 54,111)( 57, 63)
        ( 58,123)( 59, 87)( 61, 67)( 62,124)( 65, 71)( 66,127)( 69, 91)( 70,132)( 73, 78)( 74,137)( 75,115)( 77, 82)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 88,119)( 89,145)( 92, 98)( 93,121)( 94,129)( 96,102)( 97,150)(100,106)
        (101,153)(104,110)(105,157)(108,114)(109,136)(112,118)(113,117)(116,133)(120,126)(122,149)(125,130)(128,131)
        (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, 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)
        ( 58,120)( 59, 88)( 61, 67)( 62,125)( 65, 71)( 66,122)( 69, 92)( 70,118)( 73, 79)( 74,134)( 75,112)( 77, 83)
        ( 78,138)( 81, 87)( 82,142)( 85, 91)( 86,143)( 89,116)( 90,146)( 93, 99)( 94,154)( 95,126)( 98,103)(101,107)
        (102,155)(105,111)(106,133)(109,115)(110,114)(113,130)(117,123)(119,129)(121,124)(127,150)(128,147)(131,137)
        (132,156)(135,141)(136,152)(139,145)(140,159)(144,149)(148,160)(151,157)(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, 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, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58,119)( 59, 88)( 61, 67)( 62,123)( 65, 71)( 66,127)( 69, 92)( 70,131)( 73, 79)( 74,118)( 75,111)( 77, 83)
        ( 78, 90)( 81, 87)( 82, 86)( 85, 91)( 89,115)( 94, 98)( 96,102)( 97,132)(100,106)(101,139)(104,110)(105,143)
        (108,114)(109,147)(112,135)(113,152)(116,122)(117,136)(120,126)(121,153)(124,130)(125,157)(128,134)(129,158)
        (133,142)(137,156)(138,149)(140,146)(141,159)(144,150)(145,155)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(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, 67)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 71)( 54,112)( 57, 63)
        ( 58, 94)( 59, 87)( 61, 66)( 62, 69)( 65, 70)( 68, 91)( 72, 78)( 73,117)( 74,109)( 76, 82)( 77,121)( 80, 86)
        ( 81,125)( 84, 90)( 85,129)( 88,113)( 89,133)( 92, 98)( 93,114)( 96,102)( 97,137)(100,106)(101,141)(104,110)
        (105,120)(108,111)(115,140)(116,134)(118,124)(119,142)(122,128)(123,149)(126,132)(127,153)(130,136)(131,157)
        (135,145)(138,144)(139,146)(143,152)(147,151)(148,158)(150,156)(154,160)(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, 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, 67)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 71)( 54,111)( 57, 63)
        ( 58, 97)( 59, 87)( 61, 66)( 62, 94)( 65, 70)( 68, 92)( 69, 91)( 72, 78)( 73,123)( 74,115)( 76, 82)( 77,127)
        ( 80, 86)( 81,128)( 84, 90)( 85,131)( 88,101)( 89,135)( 93, 98)( 96,102)(100,106)(104,110)(105,136)(108,114)
        (109,139)(112,118)(113,143)(116,119)(117,147)(120,126)(121,153)(122,148)(124,130)(125,157)(129,134)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,150)(145,155)(149,151)(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, 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, 95)( 39, 68)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 72)( 54,111)( 57, 63)
        ( 58, 97)( 59, 88)( 61, 67)( 62, 94)( 65, 71)( 66, 70)( 69, 92)( 73, 79)( 74,123)( 75,115)( 77, 83)( 78,127)
        ( 81, 87)( 82,128)( 85, 91)( 86,131)( 89,101)( 90,135)( 93, 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)(122,152)(124,130)(125,157)(129,134)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,150)(145,156)(148,151)(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, 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, 70)( 27, 52)( 29, 35)( 30, 74)( 33, 56)( 34, 78)
        ( 37, 43)( 38, 58)( 39, 65)( 41, 47)( 42, 83)( 45, 51)( 46, 86)( 49, 55)( 50, 90)( 53, 66)( 54, 94)( 57, 63)
        ( 59, 82)( 62, 64)( 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)(131,136)(132,157)
        (135,137)(138,144)(139,159)(140,158)(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, 74)( 27, 52)( 29, 35)( 30, 78)( 33, 56)( 34, 82)
        ( 37, 43)( 38, 91)( 39, 69)( 41, 47)( 42, 93)( 45, 51)( 46, 97)( 49, 55)( 50,101)( 53, 70)( 54,105)( 57, 63)
        ( 58, 99)( 59, 86)( 61, 67)( 62, 95)( 65, 68)( 66, 90)( 71, 77)( 72,114)( 73,109)( 75, 81)( 76,117)( 79, 85)
        ( 80,121)( 83, 89)( 84,125)( 87,103)( 88,129)( 92, 96)( 94,100)( 98,104)(102,108)(106,112)(107,130)(110,113)
        (111,133)(115,120)(116,137)(118,124)(119,142)(122,128)(123,145)(126,132)(127,149)(131,136)(134,140)(135,150)
        (138,141)(139,153)(143,148)(144,157)(146,152)(147,158)(151,156)(154,160)(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, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 64)( 23, 43)( 25, 31)( 26, 69)( 27, 51)( 29, 35)( 30, 73)( 33, 55)( 34, 77)
        ( 37, 42)( 38, 61)( 40, 46)( 41, 57)( 44, 50)( 45, 82)( 48, 54)( 49, 85)( 52, 65)( 53, 89)( 56, 62)( 58, 81)
        ( 60, 63)( 66, 72)( 67,101)( 68, 93)( 70, 76)( 71,105)( 74, 80)( 75,109)( 78, 84)( 79,113)( 83, 88)( 86, 92)
        ( 87,114)( 90, 96)( 91,117)( 94, 97)( 95,121)( 98,104)( 99,133)(100,125)(102,108)(103,134)(106,112)(107,137)
        (110,116)(111,141)(115,120)(118,124)(119,142)(122,128)(123,145)(126,129)(127,149)(130,136)(131,158)(132,153)
        (135,140)(138,144)(139,159)(143,148)(146,152)(147,160)(150,156)(151,155)(154,157),
      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, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 64)( 23, 43)( 25, 31)( 26, 69)( 27, 51)( 29, 35)( 30, 73)( 33, 55)( 34, 77)
        ( 37, 42)( 38, 85)( 39, 61)( 41, 46)( 44, 50)( 45, 86)( 48, 54)( 49, 89)( 52, 65)( 53, 93)( 56, 62)( 57, 88)
        ( 58, 81)( 60, 63)( 66, 72)( 67,105)( 68, 97)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,117)( 82, 91)
        ( 83,121)( 87, 92)( 90, 96)( 94,100)( 95,122)( 98,101)( 99,125)(102,108)(103,137)(104,129)(106,112)(107,138)
        (110,116)(111,141)(114,120)(115,145)(118,124)(119,149)(123,128)(126,132)(127,150)(130,133)(131,153)(134,140)
        (135,143)(136,157)(139,144)(142,148)(146,152)(147,158)(151,156)(154,160)(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, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 64)( 23, 43)( 25, 31)( 26, 69)( 27, 51)( 29, 35)( 30, 73)( 33, 55)( 34, 77)
        ( 37, 42)( 38, 85)( 39, 61)( 41, 46)( 44, 50)( 45, 86)( 48, 54)( 49, 89)( 52, 65)( 53, 93)( 56, 62)( 57, 88)
        ( 58, 81)( 60, 63)( 66, 72)( 67,105)( 68, 97)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,117)( 82, 91)
        ( 83,121)( 87, 92)( 90, 96)( 94,100)( 95,122)( 98,101)( 99,125)(102,108)(103,137)(104,129)(106,112)(107,141)
        (110,116)(111,145)(114,120)(115,149)(118,124)(119,153)(123,128)(126,132)(127,154)(130,133)(131,157)(134,140)
        (135,147)(136,158)(138,144)(139,143)(142,148)(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, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 65)( 23, 44)( 25, 31)( 26, 70)( 27, 52)( 29, 35)( 30, 74)( 33, 56)( 34, 78)
        ( 37, 43)( 38, 58)( 39, 62)( 41, 47)( 42, 83)( 45, 51)( 46, 86)( 49, 55)( 50, 90)( 53, 66)( 54, 94)( 57, 63)
        ( 59, 82)( 61, 64)( 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)(104,142)(105,134)(107,113)
        (108,146)(111,117)(112,147)(115,121)(116,150)(120,125)(123,129)(124,151)(127,133)(128,154)(131,137)(132,158)
        (135,139)(136,138)(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, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 32)( 18, 36)( 19, 62)( 23, 44)( 25, 31)( 26, 71)( 27, 53)( 29, 35)( 30, 74)( 33, 54)( 34, 78)
        ( 37, 43)( 38, 80)( 39, 66)( 41, 47)( 42, 76)( 45, 51)( 46, 73)( 49, 52)( 50, 70)( 55, 61)( 56, 90)( 57, 82)
        ( 59, 65)( 60, 94)( 63, 69)( 64, 98)( 67, 84)( 68,102)( 72, 77)( 75, 81)( 79, 85)( 83, 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)(128,150)(129,143)(131,137)(132,154)(135,141)
        (136,158)(139,145)(140,149)(144,146)(147,153)(148,159)(151,157)(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, 48)( 12, 21)( 14, 19)
        ( 15, 53)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 57)( 26, 45)( 28, 34)( 29, 61)( 32, 49)( 33, 65)( 36, 42)
        ( 37, 77)( 38, 54)( 40, 46)( 41, 60)( 44, 47)( 50, 56)( 51, 85)( 52, 69)( 55, 73)( 58, 64)( 59, 78)( 62, 68)
        ( 63, 89)( 66, 72)( 67, 93)( 70, 81)( 71, 97)( 74, 80)( 75,109)( 76, 86)( 79, 92)( 82, 88)( 83,117)( 84,101)
        ( 87,105)( 90, 96)( 91,110)( 94,100)( 95,121)( 98,104)( 99,125)(102,113)(103,129)(106,112)(107,141)(108,118)
        (111,124)(114,120)(115,140)(116,133)(119,137)(122,128)(123,142)(126,132)(127,149)(130,136)(131,153)(134,145)
        (135,157)(138,144)(139,146)(143,152)(147,151)(148,158)(150,156)(154,160)(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, 12)(  3, 27)(  4,  9)(  6, 19)(  7, 39)(  8, 16)( 10, 23)( 11, 20)( 13, 18)( 14, 38)
        ( 15, 31)( 17, 35)( 21, 47)( 22, 43)( 24, 30)( 25, 63)( 26, 48)( 28, 34)( 29, 67)( 32, 51)( 33, 68)( 36, 42)
        ( 37, 52)( 40, 46)( 41, 75)( 44, 55)( 45, 79)( 49, 59)( 50, 56)( 53, 78)( 54, 71)( 57, 87)( 58, 83)( 60, 66)
        ( 61,103)( 62, 88)( 64, 70)( 65,107)( 69, 74)( 72, 91)( 73,108)( 76, 82)( 77, 92)( 80, 86)( 81,115)( 84, 95)
        ( 85,119)( 89, 99)( 90, 96)( 93,118)( 94,111)( 97,127)( 98,123)(100,106)(101,141)(102,128)(104,110)(105,145)
        (109,114)(112,131)(113,146)(116,122)(117,132)(120,126)(121,153)(124,135)(125,140)(129,137)(130,136)(133,156)
        (134,149)(138,144)(139,154)(142,148)(143,160)(147,152)(150,158)(151,157)(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,  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, 67)( 26, 48)( 28, 34)( 29, 71)( 32, 51)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 56)( 40, 46)( 41, 88)( 44, 59)( 45, 91)( 49, 63)( 50, 60)( 52, 58)( 53,107)( 54, 79)( 57, 83)
        ( 61, 99)( 62, 95)( 64, 70)( 65,119)( 66,100)( 68, 74)( 69,123)( 72, 78)( 73,127)( 76, 82)( 77,131)( 80,103)
        ( 81,135)( 84, 90)( 85,144)( 86,108)( 89, 94)( 92, 98)( 93,145)( 96,111)( 97,147)(101,115)(102,112)(104,110)
        (105,149)(106,139)(109,143)(113,155)(114,151)(116,122)(117,137)(118,156)(120,126)(121,133)(124,130)(125,129)
        (128,134)(132,138)(136,142)(140,153)(141,157)(146,150)(148,154)(152,159)(158,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (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, 65)( 26, 48)( 28, 34)( 29, 69)( 32, 51)( 33, 73)( 36, 42)
        ( 37, 85)( 38, 56)( 40, 46)( 41, 89)( 44, 59)( 45, 64)( 49, 61)( 50, 60)( 52, 58)( 53, 97)( 54, 77)( 57, 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)(119,146)(122,128)(123,134)(126,132)(127,153)(131,140)(135,156)
        (136,149)(138,144)(139,154)(142,148)(143,160)(147,152)(150,158)(151,157)(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,  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, 65)( 26, 48)( 28, 34)( 29, 69)( 32, 51)( 33, 73)( 36, 42)
        ( 37, 85)( 38, 56)( 40, 46)( 41, 89)( 44, 59)( 45, 64)( 49, 61)( 50, 60)( 52, 58)( 53, 97)( 54, 77)( 57, 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)(127,157)(131,140)(135,160)
        (136,153)(138,144)(139,158)(142,148)(143,155)(146,152)(147,151)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 56)( 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, 55)( 50,103)( 51, 83)( 53, 58)( 54,107)( 57, 62)
        ( 60, 87)( 61,108)( 65, 95)( 66, 91)( 68, 74)( 69,123)( 70, 96)( 72, 78)( 73,127)( 76, 82)( 77,131)( 80, 86)
        ( 81,135)( 84, 99)( 85,139)( 89, 94)( 90,111)( 92,115)( 93,148)( 97,119)( 98,116)(100,106)(101,150)(102,143)
        (104,110)(105,113)(109,114)(112,147)(117,155)(118,151)(120,126)(121,141)(122,156)(124,130)(125,137)(128,134)
        (129,133)(132,138)(136,142)(140,146)(144,153)(145,157)(149,154)(152,159)(158,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (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, 53)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 60)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 50, 68)( 51, 65)( 54, 59)( 55, 84)( 57, 63)
        ( 58,112)( 61, 88)( 62,115)( 66,107)( 67,103)( 69, 75)( 70,129)( 71,108)( 73, 79)( 74,133)( 77, 83)( 78,137)
        ( 81, 87)( 82,141)( 85,111)( 86,145)( 89, 95)( 90,135)( 91,119)( 93, 99)( 94,131)( 97,102)( 98,127)(101,106)
        (104,123)(105,128)(109,125)(110,124)(113,118)(114,149)(116,122)(117,155)(120,139)(121,157)(126,132)(130,136)
        (134,140)(138,144)(142,148)(143,158)(146,152)(147,159)(150,154)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 47)( 23, 43)( 25, 31)( 26, 75)( 27, 48)( 29, 35)( 30, 79)( 33, 51)( 34, 83)
        ( 37, 42)( 38, 95)( 39, 63)( 41, 46)( 44, 67)( 45, 96)( 49, 71)( 50, 68)( 52, 58)( 53,111)( 54, 87)( 56, 62)
        ( 57,116)( 60, 66)( 61,113)( 64, 91)( 65,109)( 69,103)( 70, 99)( 72, 78)( 73,129)( 74,104)( 76, 82)( 77,133)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88,107)( 89,141)( 92, 98)( 93,149)( 94,117)( 97,102)(100,121)(101,150)
        (105,125)(106,122)(108,114)(110,120)(112,115)(118,145)(119,142)(123,154)(124,153)(126,132)(127,147)(128,155)
        (130,136)(131,158)(135,140)(138,144)(139,159)(143,160)(146,152)(148,157)(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, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 81)
        ( 37, 43)( 38, 89)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54,112)( 55, 84)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 88)( 66,124)( 70,104)( 71,100)( 73, 79)( 74,138)( 75,105)( 77, 83)
        ( 78,142)( 82, 87)( 85,108)( 86,143)( 90, 95)( 91,128)( 93, 99)( 94,151)( 97,103)( 98,154)(101,132)(102,137)
        (106,134)(107,133)(109,115)(110,130)(111,146)(113,119)(114,126)(117,123)(118,122)(121,127)(125,131)(129,150)
        (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, 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, 89)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54,112)( 55, 84)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 88)( 66,124)( 70,104)( 71,100)( 73, 79)( 74,138)( 75,105)( 77, 83)
        ( 78,142)( 82, 87)( 85,108)( 86,143)( 90, 95)( 91,128)( 93, 99)( 94,151)( 97,103)( 98,153)(101,132)(102,137)
        (106,134)(107,133)(109,115)(110,122)(111,146)(113,119)(114,118)(117,123)(121,127)(125,131)(126,147)(129,150)
        (130,157)(135,141)(136,154)(139,145)(140,159)(144,149)(148,160)(152,156)(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, 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, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,116)( 55, 85)
        ( 57, 63)( 58,120)( 61, 67)( 62,124)( 65, 88)( 66,128)( 70,108)( 71,104)( 73, 79)( 74,141)( 75,109)( 77, 83)
        ( 78,145)( 81, 87)( 82,149)( 86,112)( 89, 95)( 90,114)( 91,132)( 93, 99)( 94,151)( 97,103)( 98,147)(101,107)
        (102,143)(105,136)(106,140)(110,138)(111,137)(113,119)(115,150)(117,123)(118,133)(121,127)(122,153)(125,131)
        (126,157)(129,135)(130,158)(134,156)(139,144)(142,148)(146,152)(154,160)(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, 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, 66)( 55, 88)
        ( 57, 63)( 58, 62)( 61, 67)( 65, 92)( 70,112)( 71,108)( 73, 79)( 74,122)( 75,113)( 77, 83)( 78,126)( 81, 87)
        ( 82,130)( 85, 91)( 86,133)( 89, 95)( 90,137)( 93, 99)( 94,141)( 97,103)( 98,145)(101,107)(102,146)(105,111)
        (106,149)(109,116)(110,121)(114,118)(115,117)(119,125)(120,150)(123,129)(124,153)(127,132)(128,157)(131,136)
        (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, 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, 66)( 55, 88)
        ( 57, 63)( 58, 62)( 61, 67)( 65, 92)( 70,112)( 71,108)( 73, 79)( 74,122)( 75,113)( 77, 83)( 78,126)( 81, 87)
        ( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,137)( 93, 99)( 94,141)( 97,103)( 98,145)(101,107)(102,146)(105,111)
        (106,149)(109,116)(110,121)(114,118)(115,117)(119,125)(120,150)(123,129)(124,153)(127,133)(128,157)(131,136)
        (132,158)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 47)( 23, 44)( 25, 31)( 26, 71)( 27, 48)( 29, 35)( 30, 75)( 33, 51)( 34, 79)
        ( 37, 43)( 38, 77)( 39, 63)( 41, 46)( 42, 73)( 45, 67)( 49, 69)( 50, 68)( 52, 58)( 53, 91)( 54, 83)( 56, 62)
        ( 57, 95)( 60, 66)( 61, 99)( 64, 81)( 65,103)( 70, 74)( 72, 78)( 76, 82)( 80, 86)( 84, 87)( 85,104)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(100,106)(101,127)(105,110)(108,111)(109,128)(112,118)
        (113,139)(114,131)(116,122)(117,143)(120,126)(121,147)(124,130)(125,151)(129,134)(132,135)(133,152)(136,142)
        (137,155)(138,153)(140,146)(141,160)(144,150)(145,157)(148,154)(149,158)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 48)( 23, 44)( 25, 31)( 26, 71)( 27, 49)( 29, 35)( 30, 75)( 33, 51)( 34, 79)
        ( 37, 43)( 38, 77)( 39, 63)( 41, 47)( 42, 73)( 45, 68)( 46, 67)( 50, 69)( 52, 58)( 53, 91)( 54, 83)( 56, 62)
        ( 57, 95)( 60, 66)( 61, 99)( 64, 81)( 65,103)( 70, 74)( 72, 78)( 76, 82)( 80, 86)( 84, 87)( 85,104)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(100,106)(101,127)(105,110)(108,111)(109,128)(112,118)
        (113,139)(114,131)(116,122)(117,143)(120,126)(121,147)(124,130)(125,151)(129,134)(132,135)(133,152)(136,142)
        (137,155)(138,153)(140,146)(141,156)(144,150)(145,160)(148,154)(149,158)(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, 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, 70)( 27, 49)( 29, 35)( 30, 74)( 33, 52)( 34, 78)
        ( 37, 43)( 38, 54)( 39, 61)( 41, 47)( 42, 83)( 45, 62)( 46, 86)( 50, 66)( 51, 63)( 53, 59)( 55, 82)( 58, 60)
        ( 64, 94)( 65, 90)( 67, 73)( 68,106)( 69, 95)( 71, 77)( 72,110)( 75, 81)( 76,114)( 79, 85)( 80,118)( 84, 89)
        ( 87, 93)( 88,119)( 91, 98)( 92,122)( 96,102)( 97, 99)(100,130)(101,126)(103,109)(104,141)(105,131)(107,113)
        (108,145)(111,117)(112,146)(115,121)(116,149)(120,125)(123,129)(124,150)(127,134)(128,153)(132,138)(133,135)
        (136,158)(137,157)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 70)( 27, 49)( 29, 35)( 30, 74)( 33, 52)( 34, 78)
        ( 37, 43)( 38, 54)( 39, 58)( 41, 47)( 42, 83)( 45, 62)( 46, 86)( 50, 66)( 51, 63)( 53, 59)( 55, 82)( 57, 60)
        ( 64, 94)( 65, 90)( 67, 73)( 68,106)( 69, 95)( 71, 77)( 72,110)( 75, 81)( 76,114)( 79, 85)( 80,118)( 84, 89)
        ( 87, 93)( 88,119)( 91, 98)( 92,122)( 96,102)( 97, 99)(100,130)(101,126)(103,109)(104,141)(105,131)(107,113)
        (108,145)(111,117)(112,146)(115,121)(116,149)(120,125)(123,129)(124,150)(127,134)(128,153)(132,137)(133,135)
        (136,157)(138,144)(139,159)(140,158)(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, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 70)( 27, 49)( 29, 35)( 30, 74)( 33, 52)( 34, 78)
        ( 37, 43)( 38, 85)( 39, 58)( 41, 47)( 42, 89)( 45, 62)( 46, 93)( 50, 66)( 51, 63)( 53, 59)( 54, 88)( 55, 81)
        ( 57, 60)( 64,101)( 65, 97)( 67, 73)( 68,117)( 69,102)( 71, 77)( 72,121)( 75, 80)( 76,125)( 79, 84)( 82,105)
        ( 83,126)( 86, 92)( 87,106)( 90, 96)( 91,133)( 94,100)( 95,137)( 98,109)( 99,141)(103,113)(104,110)(107,136)
        (108,129)(111,146)(112,145)(114,120)(115,153)(116,147)(118,124)(119,157)(122,128)(123,158)(127,132)(130,149)
        (131,159)(134,140)(135,150)(138,144)(139,151)(142,148)(143,156)(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, 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)( 78,138)( 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)(106,158)(109,115)(110,149)(113,128)(114,127)(118,123)(119,132)(121,136)(122,144)(126,146)
        (130,135)(133,143)(137,141)(140,145)(147,153)(148,159)(151,157)(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, 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)( 78,141)( 79,120)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,134)( 93,124)( 94,131)( 97,103)( 98,150)( 99,125)(101,107)
        (102,153)(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)(137,140)(139,145)(147,152)(148,158)(151,156)(154,160)(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, 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)( 98,156)(101,107)(102,153)
        (105,127)(106,149)(109,115)(110,121)(111,131)(114,118)(117,122)(120,135)(125,143)(126,139)(129,134)(130,145)
        (132,138)(133,160)(137,142)(140,158)(141,157)(144,150)(146,159)(148,154)(152,155),
      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, 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, 82)( 42, 48)( 43, 93)( 44, 70)( 46, 52)( 47, 97)( 50, 73)( 51,101)( 54, 60)( 55,113)( 56, 77)
        ( 58, 64)( 59,117)( 62, 68)( 63,121)( 66, 81)( 67,125)( 71, 89)( 72, 85)( 75, 80)( 76,105)( 78,109)( 79,137)
        ( 83, 88)( 84,129)( 86,133)( 87,144)( 90, 96)( 91,151)( 92,134)( 94,100)( 95,155)( 98,104)( 99,160)(102,108)
        (103,157)(106,136)(107,153)(110,116)(111,131)(112,140)(114,120)(115,127)(118,124)(119,123)(122,128)(126,132)
        (130,143)(135,147)(138,142)(139,149)(141,146)(145,150)(148,154)(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, 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, 84)( 41, 72)( 42, 88)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 71)( 66,120)( 69, 76)( 70,124)( 74, 96)( 75, 92)( 77, 83)( 78,160)( 79,128)
        ( 81, 87)( 82,130)( 85, 91)( 86,126)( 89, 95)( 90,122)( 93,132)( 94,118)( 97,103)( 98,140)( 99,133)(101,107)
        (102,144)(105,111)(106,148)(109,115)(110,139)(113,119)(114,135)(117,123)(121,127)(125,131)(129,159)(134,136)
        (137,143)(138,149)(141,147)(142,152)(145,151)(146,158)(150,155)(153,157)(154,156),
      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, 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, 81)( 35, 68)
        ( 37, 43)( 38, 78)( 41, 72)( 42, 82)( 45, 51)( 46, 94)( 47, 73)( 49, 55)( 50, 98)( 53, 59)( 54,102)( 57, 63)
        ( 58,106)( 61, 67)( 62,110)( 65, 71)( 66,114)( 69, 76)( 70,118)( 74, 90)( 75, 86)( 77, 80)( 79, 85)( 83, 89)
        ( 84,119)( 87,122)( 88,125)( 91, 97)( 92,133)( 93,123)( 95,101)( 96,137)( 99,105)(100,141)(103,109)(104,145)
        (107,113)(108,149)(111,117)(112,153)(115,121)(116,157)(120,128)(124,129)(126,132)(127,158)(130,136)(131,159)
        (134,140)(135,155)(138,144)(139,151)(142,148)(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, 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, 73)( 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)( 59,119)( 60, 76)( 63, 68)( 66, 80)( 67,120)( 71, 95)( 74, 79)( 75,111)( 77,115)( 78,128)( 81, 87)
        ( 82,139)( 83,123)( 85, 90)( 86,143)( 89, 94)( 92, 98)( 93,144)( 96,102)( 97,147)(100,106)(101,151)(104,110)
        (105,155)(108,114)(109,160)(112,127)(113,157)(116,122)(117,138)(118,131)(121,126)(124,136)(125,135)(129,134)
        (130,153)(132,141)(133,149)(137,142)(140,146)(145,150)(148,154)(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, 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, 73)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 68)( 43, 92)( 46, 52)( 47,104)( 48, 69)( 50, 56)( 51,108)( 54, 72)( 55,112)
        ( 58, 64)( 59, 83)( 60, 76)( 63, 67)( 66, 80)( 70,100)( 71, 96)( 74, 79)( 75,116)( 77,120)( 78,129)( 81, 87)
        ( 82,121)( 85, 91)( 86,136)( 89, 95)( 90,139)( 93, 99)( 94,143)( 97,125)( 98,124)(101,107)(102,147)(103,126)
        (105,111)(106,151)(109,115)(110,155)(113,119)(114,160)(117,128)(118,157)(122,138)(123,132)(127,144)(130,135)
        (131,153)(133,141)(134,149)(137,142)(140,146)(145,150)(148,154)(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, 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, 85)
        ( 36, 65)( 38, 44)( 39, 89)( 42, 69)( 43, 93)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,112)
        ( 58, 64)( 59,124)( 60, 77)( 63, 68)( 66, 81)( 67,125)( 71,100)( 72, 97)( 75, 80)( 76,116)( 78,120)( 79,137)
        ( 82, 88)( 83, 87)( 84,128)( 86, 92)( 90, 96)( 91,129)( 94, 99)( 95,144)( 98,132)(101,107)(102,148)(103,133)
        (105,111)(106,151)(109,115)(110,155)(113,119)(114,160)(117,136)(118,157)(121,127)(122,146)(123,140)(126,131)
        (130,147)(134,141)(135,145)(138,143)(139,153)(142,150)(149,154)(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, 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, 73)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 88)( 42, 68)( 43, 92)( 46, 52)( 47,104)( 48, 69)( 50, 56)( 51,108)( 54, 72)( 55,112)
        ( 58, 63)( 59, 83)( 60, 76)( 62, 67)( 66, 80)( 70,100)( 71, 96)( 74, 79)( 75,116)( 77,120)( 78,129)( 81, 87)
        ( 82,121)( 85, 91)( 86,136)( 89, 95)( 90,139)( 93, 99)( 94,143)( 97,125)( 98,124)(101,107)(102,147)(103,126)
        (105,111)(106,151)(109,115)(110,155)(113,119)(114,160)(117,128)(118,157)(122,138)(123,132)(127,144)(130,135)
        (131,153)(133,141)(134,149)(137,142)(140,146)(145,150)(148,154)(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, 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, 91)( 42, 73)( 43, 95)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,107)( 54, 76)( 55,111)
        ( 58, 64)( 59,123)( 60, 80)( 62, 68)( 63,127)( 66, 72)( 67,128)( 70, 84)( 71,131)( 75, 99)( 78, 83)( 79,115)
        ( 81,119)( 82,140)( 85, 90)( 86,151)( 87,135)( 89, 94)( 92, 98)( 93,152)( 96,102)( 97,145)(100,106)(101,142)
        (104,110)(105,117)(108,114)(109,113)(112,118)(116,139)(120,126)(121,149)(122,143)(124,130)(125,155)(129,134)
        (132,138)(133,156)(136,147)(137,160)(141,146)(144,153)(148,154)(150,158)(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, 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, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 85)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 72)( 43, 91)( 46, 51)( 47,103)( 48, 73)( 50, 55)( 53, 76)( 54,104)( 57, 63)
        ( 58,115)( 59, 80)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 84)( 70,127)( 74, 99)( 75, 95)( 78, 83)( 79,107)
        ( 81,111)( 82,140)( 86, 90)( 87,131)( 89, 94)( 92, 98)( 93,132)( 96,135)( 97,147)(100,106)(101,157)(102,136)
        (105,110)(108,139)(109,158)(112,118)(113,125)(114,143)(116,122)(117,121)(120,126)(124,130)(128,134)(129,144)
        (133,150)(137,155)(138,151)(141,146)(142,153)(145,149)(148,154)(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, 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, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 91)( 42, 72)( 43, 95)( 46, 51)( 47,107)( 48, 73)( 50, 55)( 53, 76)( 54,108)( 57, 63)
        ( 58,119)( 59, 80)( 61, 67)( 62,123)( 65, 71)( 66,127)( 69, 84)( 70,131)( 74,103)( 75, 99)( 78, 83)( 79,111)
        ( 81,115)( 82,140)( 85, 90)( 86,151)( 87,132)( 89, 94)( 92, 98)( 93,152)( 96,102)( 97,145)(100,135)(101,142)
        (104,110)(105,137)(106,136)(109,114)(112,139)(113,138)(116,122)(117,149)(118,143)(120,126)(121,155)(124,130)
        (125,160)(128,134)(129,157)(133,147)(141,146)(144,153)(148,154)(150,158)(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, 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, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 55)( 51,112)( 54, 76)( 57, 63)
        ( 58,120)( 59, 80)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 84)( 70,126)( 74,104)( 75,100)( 78, 83)( 79,113)
        ( 81,116)( 82,135)( 85, 91)( 86,142)( 87,122)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,103)( 98,150)(101,130)
        (102,153)(105,111)(106,132)(107,131)(109,115)(110,158)(114,134)(117,123)(118,144)(119,138)(121,127)(125,128)
        (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, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 85)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 72)( 43, 92)( 46, 52)( 47,104)( 48, 73)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 63)( 59, 80)( 61, 67)( 62,121)( 65, 71)( 66,124)( 69, 84)( 70,128)( 74,100)( 75, 96)( 78, 83)( 79,116)
        ( 81,120)( 82,141)( 86, 91)( 87,132)( 89, 95)( 90,149)( 93, 99)( 94,146)( 97,136)( 98,143)(101,107)(102,155)
        (103,137)(105,111)(106,160)(109,115)(110,157)(113,119)(114,154)(117,140)(118,139)(122,127)(123,144)(125,131)
        (126,151)(129,135)(130,134)(133,148)(138,152)(142,147)(145,150)(153,158)(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, 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)( 55,116)
        ( 58, 64)( 59,124)( 60, 81)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 85)( 71,136)( 75,104)( 76,100)( 79, 84)
        ( 80,102)( 82,120)( 83, 98)( 86, 91)( 87,122)( 88,140)( 90, 95)( 93, 99)( 94,123)( 97,103)(101,117)(105,111)
        (106,144)(107,118)(109,115)(110,148)(113,119)(114,146)(121,127)(125,131)(126,141)(129,135)(130,149)(133,139)
        (134,153)(137,143)(138,157)(142,152)(145,147)(150,156)(151,158)(154,160)(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, 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)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 81)( 62, 68)( 63,131)( 66, 72)( 67,132)( 70, 85)( 71,135)( 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)(106,144)(108,114)(109,156)(112,118)(113,160)(116,122)(117,158)(120,147)(121,146)(124,130)
        (126,151)(128,134)(129,140)(133,138)(136,142)(137,141)(145,155)(149,154)(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, 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)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 81)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 85)( 71,139)( 75,104)( 76,100)( 79, 84)
        ( 80,119)( 82,123)( 83,148)( 86, 92)( 87,125)( 88,140)( 90, 95)( 91,152)( 94, 99)( 97,103)( 98,153)(101,143)
        (102,150)(105,111)(106,160)(107,144)(109,114)(110,157)(113,118)(116,122)(117,158)(120,147)(121,146)(124,130)
        (126,151)(128,134)(129,141)(132,138)(133,137)(136,142)(145,155)(149,154)(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, 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, 86)( 42, 73)( 43, 90)( 46, 52)( 47,102)( 48, 74)( 50, 56)( 51,106)( 54, 77)( 55,109)
        ( 58, 64)( 59,121)( 60, 81)( 62, 68)( 63,125)( 66, 72)( 67,126)( 70, 84)( 71,129)( 75, 98)( 76, 94)( 79, 83)
        ( 80,113)( 82,117)( 85, 88)( 87, 93)( 91, 97)( 92,130)( 95,133)( 96,137)( 99,105)(100,149)(101,134)(103,108)
        (104,153)(107,112)(110,116)(111,154)(114,120)(115,157)(118,124)(119,143)(122,128)(123,139)(127,132)(131,140)
        (135,145)(136,141)(138,144)(142,158)(146,152)(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, 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, 84)( 75,104)( 76,100)( 79, 83)
        ( 80,120)( 82,124)( 86, 91)( 87,137)( 89, 95)( 90,138)( 93, 99)( 94,134)( 97,103)( 98,130)(101,140)(102,126)
        (105,111)(106,148)(107,141)(109,115)(110,152)(113,119)(114,155)(117,123)(118,147)(121,127)(122,143)(125,131)
        (129,135)(133,139)(142,144)(145,151)(146,156)(149,154)(150,160)(153,158)(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, 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, 70)
        ( 36, 69)( 38, 44)( 39, 86)( 42, 73)( 43, 89)( 46, 52)( 47,101)( 48, 74)( 50, 56)( 51,105)( 54, 77)( 55,109)
        ( 58, 64)( 59,120)( 60, 81)( 62, 68)( 63,121)( 66, 72)( 67,124)( 71, 85)( 75, 97)( 76, 93)( 79, 84)( 80,112)
        ( 82,116)( 83,133)( 87, 92)( 88,125)( 90, 96)( 91,140)( 94,128)( 95,143)( 98,104)( 99,156)(100,129)(102,108)
        (103,153)(106,111)(107,157)(110,115)(113,132)(114,158)(117,123)(118,142)(119,136)(122,127)(126,139)(130,151)
        (131,147)(134,138)(135,149)(137,145)(141,146)(144,150)(148,159)(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, 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, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 51)( 47,108)( 48, 73)( 50, 55)( 53, 76)( 54,109)( 57, 63)
        ( 58,120)( 59, 80)( 61, 67)( 62, 87)( 65, 71)( 66, 70)( 69, 84)( 74,104)( 75,100)( 78, 83)( 79,112)( 81,116)
        ( 82,129)( 85, 91)( 86,121)( 89, 95)( 90,136)( 93, 99)( 94,140)( 97,103)( 98,144)(101,124)(102,147)(105,111)
        (106,157)(107,125)(110,115)(113,128)(114,158)(117,123)(118,138)(119,132)(122,139)(126,155)(127,151)(130,135)
        (131,153)(133,142)(134,149)(137,143)(141,146)(145,150)(148,154)(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, 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, 81)( 41, 68)( 42, 84)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,104)( 57, 63)
        ( 58, 73)( 61, 67)( 62,111)( 65, 76)( 66,115)( 70, 92)( 71, 88)( 74,114)( 75,107)( 77, 83)( 78,135)( 79,119)
        ( 82, 87)( 85, 91)( 86,136)( 89,123)( 90,139)( 93, 99)( 94,152)( 95,124)( 97,103)( 98,149)(101,106)(102,153)
        (105,110)(108,127)(109,154)(112,118)(113,128)(116,122)(117,157)(120,132)(121,131)(125,147)(126,143)(129,160)
        (130,145)(133,138)(134,158)(137,142)(140,146)(141,159)(144,155)(148,151)(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, 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, 82)( 79,124)
        ( 81, 87)( 85, 91)( 86,125)( 89, 95)( 90,135)( 93,128)( 94,139)( 97,103)( 98,147)( 99,129)(101,107)(102,151)
        (105,111)(106,156)(109,115)(110,153)(113,131)(114,149)(117,123)(118,132)(121,127)(122,157)(126,138)(130,143)
        (133,160)(134,145)(136,142)(137,158)(140,146)(141,159)(144,150)(148,154)(152,155),
      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, 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, 97)( 50, 73)( 51,101)( 54, 60)( 55,112)( 56, 78)
        ( 58, 64)( 59,116)( 62, 68)( 63,120)( 66, 81)( 67,124)( 71, 89)( 72, 85)( 74, 80)( 75,139)( 76,104)( 79,108)
        ( 83, 88)( 84,128)( 86,132)( 87,144)( 90, 96)( 91,156)( 92,133)( 94,100)( 95,153)( 98,103)( 99,157)(102,107)
        (105,136)(106,158)(109,115)(110,130)(111,140)(113,119)(114,126)(117,123)(118,122)(121,127)(125,131)(129,143)
        (134,151)(135,147)(137,142)(138,149)(141,146)(145,150)(148,159)(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, 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)( 51,100)( 54, 60)( 55,112)( 56, 78)
        ( 58, 64)( 59,116)( 62, 68)( 63,120)( 66, 81)( 67,124)( 71, 88)( 72, 85)( 74, 80)( 75,140)( 76,104)( 79,108)
        ( 83, 87)( 84,128)( 86,132)( 89, 95)( 90,139)( 91,133)( 93, 99)( 94,106)( 97,103)( 98,102)(101,107)(105,136)
        (109,115)(110,151)(111,141)(113,119)(114,155)(117,123)(118,160)(121,127)(122,157)(125,131)(126,153)(129,135)
        (130,149)(134,144)(137,143)(138,145)(142,147)(146,150)(148,154)(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, 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)( 26, 31)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 68)
        ( 37, 43)( 38, 84)( 41, 72)( 42, 88)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 71)( 66,120)( 69, 76)( 70,124)( 74, 96)( 75, 92)( 77, 83)( 78,160)( 79,128)
        ( 81, 87)( 82,130)( 85, 91)( 86,126)( 89, 95)( 90,122)( 93,132)( 94,118)( 97,103)( 98,140)( 99,133)(101,107)
        (102,144)(105,111)(106,148)(109,115)(110,139)(113,119)(114,135)(117,123)(121,127)(125,131)(129,159)(134,136)
        (137,143)(138,149)(141,147)(142,152)(145,151)(146,158)(150,155)(153,157)(154,156),
      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, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 32)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 30, 56)( 33, 39)( 34, 81)( 35, 68)
        ( 37, 43)( 38, 78)( 41, 72)( 42, 82)( 45, 51)( 46, 94)( 47, 73)( 49, 55)( 50, 98)( 53, 59)( 54,102)( 57, 63)
        ( 58,106)( 61, 67)( 62,110)( 65, 71)( 66,114)( 69, 76)( 70,118)( 74, 90)( 75, 86)( 77, 80)( 79, 85)( 83, 89)
        ( 84,119)( 87,122)( 88,125)( 91, 97)( 92,133)( 93,123)( 95,101)( 96,137)( 99,105)(100,141)(103,109)(104,145)
        (107,113)(108,149)(111,117)(112,153)(115,121)(116,157)(120,128)(124,129)(126,132)(127,158)(130,136)(131,159)
        (134,140)(135,155)(138,144)(139,151)(142,148)(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, 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, 92)( 46, 52)( 47, 99)( 48, 70)( 50, 56)( 51,103)( 54, 72)( 55,107)
        ( 58, 64)( 59,119)( 60, 77)( 63, 68)( 66, 80)( 67,120)( 71, 95)( 73, 79)( 74,131)( 75,111)( 78,115)( 81, 87)
        ( 82,139)( 83,123)( 85, 91)( 86,143)( 89, 94)( 90,147)( 93, 98)( 96,102)( 97,148)(100,106)(101,151)(104,110)
        (105,155)(108,114)(109,160)(112,127)(113,157)(116,122)(117,138)(118,132)(121,126)(124,136)(125,135)(128,134)
        (129,145)(130,153)(133,141)(137,142)(140,146)(144,150)(149,154)(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, 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, 86)
        ( 36, 69)( 38, 44)( 39, 90)( 42, 73)( 43, 94)( 46, 52)( 47,106)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,113)
        ( 58, 64)( 59,121)( 60, 82)( 62, 68)( 63,125)( 66, 72)( 67,129)( 70, 84)( 71,133)( 75,102)( 76, 98)( 78, 83)
        ( 79,124)( 80,117)( 85, 89)( 87, 93)( 88,134)( 91, 97)( 92,146)( 95,101)( 96,149)( 99,137)(100,144)(103,108)
        (104,157)(105,138)(107,112)(110,116)(111,158)(114,120)(115,156)(118,141)(119,140)(122,128)(123,142)(126,132)
        (127,151)(130,136)(131,148)(135,145)(139,153)(143,150)(147,152)(154,160)(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, 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)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 82)( 62, 68)( 63,131)( 66, 72)( 67,132)( 70, 85)( 71,135)( 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)(106,144)(108,114)(109,156)(112,118)(113,160)(116,122)(117,158)(120,147)(121,146)(124,130)
        (126,152)(128,134)(129,140)(133,138)(136,142)(137,141)(145,155)(148,154)(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, 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)( 55,115)
        ( 58, 64)( 59,127)( 60, 82)( 62, 68)( 63,131)( 66, 72)( 67,135)( 70, 85)( 71,139)( 75,104)( 76,100)( 78, 84)
        ( 79,151)( 80,119)( 83,123)( 86, 92)( 87,125)( 88,140)( 90, 96)( 91,153)( 94, 99)( 95,149)( 98,103)(101,143)
        (102,150)(105,111)(106,160)(107,144)(109,114)(110,157)(113,118)(116,122)(117,158)(120,147)(121,146)(124,130)
        (126,152)(128,134)(129,141)(132,138)(133,137)(136,142)(145,155)(148,154)(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, 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)( 47,109)( 48, 74)( 50, 56)( 51,106)( 54, 77)( 55,110)
        ( 58, 64)( 59,121)( 60, 82)( 62, 68)( 63,125)( 66, 72)( 67,129)( 70, 85)( 71,133)( 75,104)( 76,100)( 78, 84)
        ( 79,145)( 80,114)( 83,117)( 86, 92)( 87,153)( 88,137)( 90, 95)( 91,157)( 94, 99)( 97,103)( 98,158)(101,112)
        (102,144)(105,108)(107,113)(111,116)(115,141)(118,124)(119,151)(120,146)(122,128)(123,152)(126,132)(127,139)
        (130,136)(131,135)(134,140)(138,149)(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, 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, 79)( 46, 51)( 47, 74)( 48, 73)( 50, 55)( 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)(145,160)(148,154)(149,157)(153,158)(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, 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, 79)( 46, 52)( 47, 51)( 48, 74)( 50, 56)( 54, 76)( 55, 75)( 58, 64)
        ( 59,100)( 60, 81)( 62, 68)( 63,104)( 66, 72)( 67,108)( 70, 84)( 71,112)( 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)(145,156)(148,154)(149,160)(153,158)(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, 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, 70)( 43, 69)( 46, 52)( 47, 93)( 48, 71)( 50, 56)( 51, 97)( 54, 73)( 55,101)
        ( 58, 64)( 59,112)( 60, 78)( 63, 68)( 66, 81)( 67,113)( 72, 90)( 74, 80)( 75,124)( 76,105)( 79,108)( 82, 88)
        ( 83,132)( 84,116)( 86, 92)( 87,136)( 91, 96)( 94,100)( 95,137)( 98,104)( 99,140)(102,107)(103,144)(106,120)
        (109,115)(110,151)(111,125)(114,119)(117,128)(118,152)(121,127)(122,157)(123,145)(126,147)(129,135)(130,149)
        (131,156)(133,139)(134,159)(138,143)(141,146)(142,160)(148,154)(150,158)(153,155),
      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, 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, 70)( 43, 69)( 46, 52)( 47, 93)( 48, 71)( 50, 56)( 51, 97)( 54, 73)( 55,101)
        ( 58, 64)( 59,113)( 60, 78)( 63, 68)( 66, 81)( 67,114)( 72, 90)( 74, 80)( 75,125)( 76,105)( 79,109)( 82, 88)
        ( 83,132)( 84,117)( 86, 92)( 87,136)( 91, 96)( 94,100)( 95,137)( 98,104)( 99,140)(102,108)(103,144)(106,121)
        (107,149)(110,116)(111,154)(112,126)(115,120)(118,129)(119,155)(122,128)(123,157)(124,146)(127,150)(130,135)
        (131,152)(133,139)(134,159)(138,143)(141,147)(142,160)(145,148)(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, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 44)( 12, 21)( 14, 19)
        ( 15, 41)( 16, 32)( 18, 36)( 22, 33)( 23, 40)( 25, 31)( 26, 56)( 27, 48)( 29, 35)( 30, 60)( 34, 47)( 38, 43)
        ( 39, 42)( 45, 51)( 46, 61)( 49, 52)( 50, 64)( 53, 59)( 54, 76)( 55, 68)( 57, 63)( 58, 80)( 62, 67)( 65, 71)
        ( 66, 81)( 69, 72)( 70, 84)( 73, 79)( 74, 96)( 75, 88)( 77, 83)( 78,100)( 82, 87)( 85, 91)( 86,101)( 89, 92)
        ( 90,104)( 93, 99)( 94,116)( 95,108)( 97,103)( 98,120)(102,107)(105,111)(106,121)(109,112)(110,124)(113,119)
        (114,136)(115,128)(117,123)(118,140)(122,127)(125,131)(126,141)(129,132)(130,144)(133,139)(134,153)(135,148)
        (137,143)(138,155)(142,147)(145,151)(146,156)(149,152)(150,160)(154,158)(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, 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)( 54,116)
        ( 57, 72)( 58,120)( 62, 67)( 63, 88)( 65, 92)( 66,129)( 70,108)( 71,104)( 73, 79)( 74,143)( 75,124)( 77, 83)
        ( 78,147)( 81, 87)( 82,151)( 85, 91)( 86,152)( 89,128)( 90,155)( 93, 99)( 94,145)( 95,132)( 97,103)( 98,141)
        (102,107)(105,136)(106,142)(109,115)(110,122)(111,137)(113,119)(114,118)(117,123)(121,127)(125,139)(126,138)
        (130,135)(131,160)(133,149)(134,157)(140,146)(144,150)(148,154)(153,158)(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, 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)( 54,116)
        ( 57, 72)( 58,120)( 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)( 86,155)( 89,127)( 90,160)( 93, 99)( 94,145)( 95,131)( 97,103)( 98,141)
        (102,107)(105,135)(106,142)(109,115)(110,114)(111,136)(113,119)(117,122)(118,137)(121,126)(124,139)(125,138)
        (129,134)(130,157)(132,149)(133,153)(140,146)(144,150)(148,154)(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, 89)( 45, 51)( 46, 96)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 57, 63)
        ( 58, 93)( 59, 84)( 62, 88)( 66, 85)( 67, 92)( 69, 75)( 70,115)( 71,108)( 73, 79)( 74,119)( 77, 83)( 78,123)
        ( 81, 87)( 82,127)( 86, 99)( 90, 95)( 91, 94)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,112)
        (110,139)(113,118)(114,140)(116,122)(117,144)(120,126)(121,147)(124,130)(125,151)(129,134)(132,138)(133,152)
        (136,142)(137,155)(141,143)(145,150)(146,156)(148,154)(149,160)(153,158)(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, 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)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,120)( 59, 84)( 62, 88)( 66, 96)( 67, 92)( 69, 75)( 70,132)( 71,112)( 73, 79)( 74,136)( 77, 83)( 78,137)
        ( 81, 87)( 82,134)( 85,116)( 86,130)( 90, 95)( 91,121)( 93,124)( 94,144)( 97,103)( 98,151)( 99,125)(101,107)
        (102,155)(105,111)(106,160)(109,115)(110,157)(113,128)(114,153)(117,123)(118,148)(119,139)(122,143)(126,140)
        (127,147)(129,135)(131,142)(133,138)(141,154)(145,150)(146,149)(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, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 46)( 42, 99)( 45, 67)( 48, 54)( 49,107)( 50, 68)( 52, 58)( 53,111)( 56, 71)
        ( 57,115)( 60, 66)( 61,123)( 62, 87)( 65, 91)( 69,103)( 70,100)( 72, 78)( 73,131)( 74,119)( 76, 82)( 77,132)
        ( 80, 86)( 81,135)( 84, 90)( 85,139)( 88,105)( 89,143)( 92, 98)( 93, 97)( 94,124)( 96,102)(101,125)(104,110)
        (106,126)(108,114)(109,144)(112,118)(113,147)(116,122)(117,151)(120,127)(121,156)(128,134)(129,157)(130,153)
        (133,138)(136,142)(137,158)(140,146)(141,159)(145,150)(148,154)(149,160)(152,155),
      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, 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, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 67)( 46,103)( 49, 54)( 50, 68)( 52, 58)( 53,112)( 56, 71)
        ( 57,115)( 60, 66)( 61,127)( 62, 87)( 65, 91)( 69,111)( 70,107)( 72, 78)( 73,139)( 74,119)( 76, 82)( 77,140)
        ( 80, 86)( 81,143)( 84, 90)( 85,147)( 88,123)( 89,148)( 92, 98)( 93,129)( 94,128)( 96,102)( 97,125)(100,106)
        (101,152)(104,110)(105,155)(108,131)(109,138)(113,118)(114,132)(116,122)(117,160)(120,135)(121,134)(124,130)
        (126,151)(133,159)(136,142)(137,156)(141,146)(144,150)(145,157)(149,154)(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, 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)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,128)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,123)( 77, 83)( 78,136)
        ( 81, 87)( 82,139)( 85,127)( 86,143)( 89, 95)( 90,152)( 91,129)( 93, 99)( 94,149)( 97,103)( 98,145)(101,107)
        (102,141)(105,131)(106,138)(109,114)(110,157)(111,132)(113,118)(116,122)(117,158)(120,126)(121,156)(124,135)
        (125,134)(130,147)(133,153)(137,142)(140,146)(144,150)(148,151)(154,160)(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, 97)( 45, 68)( 46, 94)( 49, 55)( 50, 89)( 51, 69)( 53, 59)( 54, 99)
        ( 57, 72)( 58,103)( 61, 67)( 62, 70)( 63, 88)( 66, 92)( 71, 95)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)
        ( 81, 87)( 82,123)( 85, 91)( 86,127)( 90,102)( 93, 98)(100,106)(101,128)(104,110)(105,131)(108,111)(109,135)
        (112,118)(113,140)(114,139)(116,122)(117,144)(120,126)(121,147)(124,130)(125,151)(129,134)(132,138)(133,152)
        (136,142)(137,155)(141,143)(145,150)(146,156)(148,154)(149,160)(153,158)(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, 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)( 50,115)( 51, 69)( 53, 59)( 54,119)
        ( 57, 72)( 58,123)( 61, 67)( 62,131)( 63, 88)( 66, 92)( 70,111)( 71,108)( 73, 79)( 74,137)( 75,127)( 77, 83)
        ( 78,141)( 81, 87)( 82,142)( 85, 91)( 86,145)( 89,113)( 90,149)( 93, 99)( 94,106)( 95,132)( 97,103)( 98,102)
        (101,107)(105,110)(109,133)(112,118)(114,134)(116,122)(117,150)(120,126)(121,153)(124,130)(125,154)(128,135)
        (129,157)(136,140)(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, 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, 42)( 39, 65)( 41, 47)( 45, 62)( 46, 66)( 49, 55)( 50, 81)( 51, 63)( 53, 59)( 54, 84)( 57, 68)
        ( 58, 88)( 61, 67)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 82, 87)( 85, 91)( 86,109)
        ( 89, 95)( 90,112)( 93, 96)( 94,116)( 97,103)( 98,128)( 99,120)(101,107)(102,132)(105,111)(106,136)(110,115)
        (113,119)(114,137)(117,123)(118,140)(121,124)(122,144)(125,131)(126,153)(127,147)(129,135)(130,154)(133,139)
        (134,157)(138,143)(141,146)(142,158)(145,150)(148,151)(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, 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, 42)( 39, 65)( 41, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 88)( 51, 69)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 67)( 62, 70)( 63, 87)( 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)(105,136)(106,131)(108,114)
        (109,139)(112,118)(113,143)(116,122)(117,147)(121,126)(124,130)(125,148)(128,134)(129,151)(132,135)(133,155)
        (137,142)(138,160)(140,146)(141,157)(144,150)(145,153)(149,154)(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, 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, 42)( 39, 65)( 41, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 93)( 51, 69)( 53, 59)( 54, 96)( 57, 72)
        ( 58,100)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,112)( 75,104)( 77, 83)( 78,116)( 81, 87)( 82,120)
        ( 85, 91)( 86,124)( 89, 95)( 90,128)( 94, 99)( 97,103)( 98,129)(101,107)(102,132)(105,108)(106,136)(109,115)
        (110,146)(111,140)(113,119)(114,147)(117,123)(118,150)(121,127)(122,154)(125,131)(126,158)(130,135)(133,139)
        (134,159)(137,143)(138,156)(141,144)(142,152)(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, 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, 42)( 39, 65)( 41, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 72)
        ( 58,103)( 61, 67)( 62, 71)( 63, 88)( 70, 91)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)( 81, 87)( 82,123)
        ( 85, 90)( 86,127)( 89, 94)( 92, 98)( 93,128)( 96,102)( 97,131)(100,106)(101,135)(104,110)(105,139)(108,111)
        (109,143)(112,118)(113,152)(114,144)(116,122)(117,149)(120,126)(121,153)(124,130)(125,157)(129,134)(132,138)
        (133,158)(136,142)(137,159)(140,146)(141,155)(145,147)(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, 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, 42)( 39, 65)( 41, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 72)
        ( 58,103)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)( 81, 87)( 82,123)
        ( 85, 91)( 86,127)( 89, 94)( 90,131)( 93, 98)( 96,102)( 97,132)(100,106)(101,135)(104,110)(105,139)(108,111)
        (109,143)(112,118)(113,152)(114,144)(116,122)(117,149)(120,126)(121,153)(124,130)(125,157)(128,134)(129,158)
        (133,138)(136,142)(137,159)(140,146)(141,155)(145,147)(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, 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, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46, 89)( 47, 69)( 49, 55)( 50, 95)( 53, 72)( 54, 99)( 57, 63)
        ( 58, 70)( 59, 88)( 61, 67)( 62, 93)( 66, 94)( 71, 92)( 73, 79)( 74,111)( 75,103)( 77, 83)( 78,115)( 81, 87)
        ( 82,119)( 85, 91)( 86,123)( 90, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,144)
        (110,135)(112,118)(113,141)(116,122)(117,145)(120,126)(121,149)(125,130)(128,134)(129,150)(132,138)(133,153)
        (136,139)(137,157)(140,143)(142,148)(146,152)(147,158)(151,156)(154,160)(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, 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, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46,100)( 47, 69)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58, 98)( 59, 88)( 61, 67)( 62,116)( 66, 95)( 70, 96)( 71, 92)( 73, 79)( 74,124)( 75,112)( 77, 83)( 78,127)
        ( 81, 87)( 82,131)( 85, 91)( 86,135)( 89,102)( 90,139)( 93,118)( 94,117)( 97,103)( 99,119)(101,107)(105,111)
        (106,140)(109,115)(110,143)(113,120)(114,147)(121,126)(122,129)(123,151)(125,130)(128,134)(132,138)(133,152)
        (136,142)(137,155)(141,146)(144,150)(145,156)(148,154)(149,160)(153,158)(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, 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, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46, 58)( 47, 69)( 49, 55)( 50, 89)( 53, 72)( 54, 94)( 57, 63)
        ( 59, 88)( 61, 67)( 62, 70)( 66, 92)( 71, 93)( 73, 79)( 74,106)( 75, 98)( 77, 83)( 78,110)( 81, 87)( 82,114)
        ( 85, 91)( 86,118)( 90, 97)( 95,101)( 96,119)( 99,102)(100,122)(103,109)(104,134)(105,126)(107,113)(108,138)
        (111,117)(112,142)(115,121)(116,146)(120,125)(123,129)(124,147)(127,130)(128,150)(131,137)(132,136)(133,154)
        (135,141)(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, 46)( 16, 33)( 18, 37)( 19, 56)( 23, 44)( 24, 40)( 26, 32)( 27, 64)( 28, 52)( 30, 36)( 31, 68)( 34, 50)
        ( 35, 72)( 39, 43)( 41, 58)( 42, 57)( 45, 51)( 47, 59)( 49, 55)( 53, 60)( 54, 73)( 61, 67)( 62, 84)( 63, 76)
        ( 65, 71)( 66, 88)( 69, 75)( 70, 92)( 74, 79)( 77, 80)( 78, 93)( 81, 87)( 82,104)( 83, 96)( 85, 91)( 86,108)
        ( 89, 95)( 90,112)( 94, 99)( 97,100)( 98,113)(101,107)(102,124)(103,116)(105,111)(106,128)(109,115)(110,132)
        (114,119)(117,120)(118,133)(121,127)(122,143)(123,136)(125,131)(126,147)(129,135)(130,151)(134,139)(137,140)
        (138,152)(141,146)(142,155)(144,150)(145,156)(148,154)(149,160)(153,158)(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, 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, 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)( 62,119)( 65, 71)( 66,123)( 69, 87)( 70,127)( 74, 91)( 77, 82)( 78,107)( 80, 86)
        ( 81,136)( 84,111)( 85,139)( 89, 94)( 90,131)( 92, 98)( 93,148)( 96,102)( 97,151)(100,106)(101,155)(104,110)
        (105,160)(108,135)(109,157)(112,118)(113,125)(114,143)(116,122)(117,121)(120,126)(124,130)(128,134)(129,144)
        (132,147)(133,145)(137,142)(138,153)(140,146)(141,150)(149,154)(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, 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, 75)( 28, 52)( 30, 36)( 31, 79)( 34, 56)
        ( 35, 83)( 39, 43)( 40, 64)( 42, 67)( 45, 51)( 46, 88)( 47, 68)( 49, 55)( 50, 91)( 53, 71)( 54, 95)( 57, 63)
        ( 58, 69)( 59, 87)( 62, 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)
        (109,143)(112,118)(113,147)(116,122)(117,151)(121,126)(124,130)(125,152)(128,134)(129,155)(132,135)(133,160)
        (136,142)(137,149)(138,157)(140,146)(141,145)(144,150)(148,154)(153,158)(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, 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)( 54,109)( 57, 63)
        ( 58,114)( 59, 92)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 75)( 70,126)( 74, 96)( 77, 83)( 78,130)( 79,106)
        ( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93,110)( 94,145)( 97,103)( 98,153)( 99,127)(101,107)
        (102,133)(105,108)(111,117)(112,124)(113,149)(115,121)(116,120)(119,125)(123,129)(128,150)(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, 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)( 54,109)( 57, 63)
        ( 58,114)( 59, 92)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 75)( 70,126)( 74, 96)( 77, 83)( 78,130)( 79,106)
        ( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,110)( 94,145)( 97,103)( 98,153)( 99,127)(101,107)
        (102,133)(105,108)(111,117)(112,124)(113,149)(115,121)(116,120)(119,125)(123,129)(128,150)(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, 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, 69)( 42, 73)( 43, 97)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 64)( 59,124)( 60, 92)( 62, 68)( 63,128)( 66, 72)( 67,129)( 70, 96)( 71,132)( 75,100)( 77, 83)( 78,123)
        ( 79,116)( 81, 87)( 82, 94)( 85, 91)( 86, 90)( 89, 95)( 93,120)( 98,103)( 99,136)(101,107)(102,144)(105,111)
        (106,147)(109,115)(110,151)(113,119)(114,156)(117,139)(118,153)(121,127)(122,140)(125,131)(126,157)(130,135)
        (133,138)(134,158)(137,143)(141,160)(142,149)(145,150)(146,159)(148,154)(152,155),
      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, 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, 86)( 39, 44)( 40, 69)( 42, 73)( 43, 89)( 46, 52)( 47,100)( 48, 74)( 50, 56)( 51,104)( 54, 77)( 55,108)
        ( 58, 64)( 59,115)( 60, 83)( 62, 68)( 63,119)( 66, 72)( 67,123)( 70, 88)( 71,127)( 75, 96)( 76, 92)( 78, 84)
        ( 79,118)( 80,112)( 82, 87)( 90, 95)( 91,131)( 93,135)( 94,144)( 97,103)( 98,102)( 99,136)(101,107)(105,111)
        (106,137)(109,114)(110,148)(113,139)(116,122)(117,140)(120,126)(121,151)(124,130)(125,155)(128,134)(129,160)
        (132,143)(133,157)(138,147)(141,154)(142,149)(145,150)(146,153)(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, 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)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,127)( 60, 92)( 62, 68)( 63,132)( 66, 72)( 67,129)( 70, 96)( 71,125)( 75,103)( 76,100)( 78, 83)
        ( 79,145)( 80,119)( 82, 87)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93,123)( 94,153)( 98,102)( 99,133)(101,137)
        (104,110)(105,144)(106,138)(108,114)(109,121)(112,118)(113,117)(116,122)(120,141)(124,130)(126,136)(128,131)
        (134,140)(135,154)(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, 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, 69)( 42, 72)( 43, 97)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,116)
        ( 58, 64)( 59,128)( 60, 92)( 62, 68)( 63,132)( 66, 71)( 67,136)( 70, 96)( 74,104)( 75,100)( 77, 83)( 78, 90)
        ( 79,120)( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,124)( 94,121)( 98,103)( 99,137)(101,140)(102,149)(105,111)
        (106,145)(107,141)(109,115)(110,155)(113,119)(114,160)(117,123)(118,157)(122,147)(125,131)(126,142)(127,144)
        (129,135)(130,153)(133,139)(134,151)(138,148)(143,152)(146,158)(150,154)(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, 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, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,109)
        ( 58, 64)( 59,117)( 60, 92)( 62, 68)( 63,121)( 66, 72)( 67,125)( 70, 96)( 71,129)( 75,103)( 76,100)( 78, 84)
        ( 79,141)( 80,105)( 82, 87)( 83,145)( 86, 91)( 89, 95)( 90,146)( 93,113)( 94,149)( 98,102)( 99,133)(101,137)
        (104,110)(106,138)(108,111)(114,120)(115,127)(116,153)(118,124)(119,123)(122,128)(126,132)(130,136)(131,154)
        (134,140)(135,157)(139,144)(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, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 68)( 42, 72)( 43, 97)( 46, 52)( 47, 59)( 48, 73)( 50, 56)( 51, 93)( 54, 76)( 55, 98)
        ( 58, 64)( 60, 92)( 62, 67)( 63, 74)( 66, 71)( 69, 96)( 70, 75)( 77, 83)( 78,110)( 79,102)( 81, 87)( 82,114)
        ( 85, 91)( 86,118)( 89, 95)( 90,122)( 94,101)( 99,105)(100,123)(103,106)(104,126)(107,113)(108,138)(109,130)
        (111,117)(112,142)(115,121)(116,146)(119,125)(120,150)(124,129)(127,133)(128,151)(131,134)(132,154)(135,141)
        (136,140)(137,157)(139,145)(143,149)(144,158)(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, 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, 69)( 42, 73)( 43, 97)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 64)( 59,102)( 60, 92)( 62, 68)( 63, 99)( 66, 72)( 67, 71)( 70, 96)( 75,100)( 77, 83)( 78,124)( 79,116)
        ( 81, 87)( 82,127)( 85, 91)( 86,131)( 89, 95)( 90,135)( 93,106)( 94,139)( 98,103)(101,107)(105,111)(109,115)
        (110,140)(113,119)(114,143)(117,120)(118,147)(121,126)(122,154)(123,152)(125,130)(128,134)(129,155)(132,138)
        (133,157)(136,142)(137,158)(141,146)(144,150)(145,159)(148,151)(149,153)(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, 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)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,102)( 60, 93)( 62, 68)( 63,100)( 66, 72)( 67, 71)( 70, 97)( 75, 94)( 76,101)( 78, 84)( 79,124)
        ( 80,116)( 82, 88)( 83,127)( 86, 92)( 87,131)( 90, 96)( 91,135)( 95,107)( 99,103)(105,111)(106,136)(109,115)
        (110,139)(113,119)(114,143)(117,120)(118,147)(121,126)(122,154)(123,152)(125,130)(128,134)(129,155)(132,138)
        (133,157)(137,142)(140,146)(141,158)(144,150)(145,159)(148,151)(149,153)(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, 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)( 47,105)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,113)
        ( 58, 64)( 59, 71)( 60, 93)( 62, 68)( 63, 67)( 66, 72)( 70, 97)( 75,101)( 76, 99)( 78, 84)( 79,124)( 80,117)
        ( 82, 88)( 83,128)( 86, 92)( 87,131)( 90, 96)( 91,135)( 94,100)( 95,104)(102,108)(103,136)(106,112)(107,139)
        (110,116)(111,143)(114,119)(115,147)(118,120)(121,127)(122,153)(123,148)(125,130)(126,157)(129,134)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,150)(145,155)(149,151)(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, 49)( 12, 22)( 14, 20)
        ( 15, 47)( 16, 33)( 18, 37)( 19, 57)( 23, 45)( 24, 41)( 26, 32)( 27, 64)( 28, 53)( 30, 36)( 31, 68)( 34, 51)
        ( 35, 72)( 39, 44)( 40, 43)( 42, 58)( 46, 52)( 48, 59)( 50, 56)( 54, 60)( 55, 73)( 61, 67)( 62, 84)( 63, 76)
        ( 65, 71)( 66, 88)( 69, 75)( 70, 92)( 74, 79)( 77, 80)( 78, 93)( 81, 87)( 82,104)( 83, 96)( 85, 91)( 86,108)
        ( 89, 95)( 90,112)( 94, 99)( 97,100)( 98,113)(101,107)(102,124)(103,116)(105,111)(106,128)(109,115)(110,132)
        (114,119)(117,120)(118,133)(121,127)(122,143)(123,136)(125,131)(126,147)(129,135)(130,151)(134,139)(137,140)
        (138,152)(141,146)(142,155)(144,150)(145,160)(148,154)(149,157)(153,158)(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, 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)( 47,105)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,113)
        ( 58, 64)( 59,103)( 60, 93)( 62, 68)( 63, 99)( 66, 72)( 67,121)( 70, 97)( 71,127)( 75, 94)( 76,102)( 78, 84)
        ( 79,132)( 80,117)( 82, 88)( 83,136)( 86, 92)( 87,140)( 90, 96)( 91,143)( 95,108)( 98,104)(100,124)(106,112)
        (107,144)(110,116)(111,147)(114,120)(115,151)(118,128)(119,155)(122,126)(123,125)(129,135)(130,157)(131,160)
        (133,139)(134,153)(137,142)(138,149)(141,146)(145,150)(148,154)(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, 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, 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)( 59,110)( 60, 92)( 62, 68)( 63,106)( 66, 72)( 67,124)( 70, 96)( 71,128)( 75,104)( 76,101)( 78, 83)
        ( 79,136)( 80,120)( 82, 87)( 85, 91)( 86,137)( 89, 95)( 90,140)( 93,114)( 94,144)( 97,103)( 98,130)( 99,129)
        (102,126)(105,111)(107,127)(109,115)(113,119)(117,123)(118,145)(121,132)(122,148)(125,131)(133,139)(134,157)
        (135,152)(138,143)(141,147)(142,158)(146,151)(149,154)(150,159)(153,155)(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, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 43, 73)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,124)( 60, 92)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 96)( 71,136)( 75,104)( 76,101)( 78, 84)
        ( 79,147)( 80,120)( 82, 88)( 83,151)( 86, 91)( 87,155)( 90, 95)( 93,106)( 94,156)( 97,103)( 98,130)( 99,140)
        (102,126)(105,111)(107,127)(109,115)(110,157)(113,119)(114,153)(117,123)(118,149)(121,145)(122,144)(125,131)
        (129,135)(133,139)(134,141)(137,143)(138,160)(142,159)(146,150)(148,154)(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, 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)( 59,114)( 60, 92)( 62, 68)( 63,110)( 66, 72)( 67,106)( 70, 96)( 71,124)( 75,104)( 76,101)( 78, 83)
        ( 79,120)( 81, 87)( 82,132)( 85, 91)( 86,135)( 89, 95)( 90,139)( 93,118)( 94,143)( 97,103)( 98,130)( 99,129)
        (102,126)(105,111)(107,127)(109,115)(113,119)(117,123)(121,131)(122,144)(125,128)(133,138)(134,147)(136,142)
        (137,152)(140,146)(141,155)(145,150)(148,151)(149,156)(153,158)(154,160)(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, 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)( 59,106)( 60, 92)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 96)( 71,132)( 75,104)( 76,101)( 78, 84)
        ( 79,141)( 80,120)( 82, 87)( 83,145)( 86, 91)( 89, 95)( 90,146)( 93,110)( 94,149)( 97,103)( 98,130)( 99,136)
        (102,126)(105,111)(107,127)(109,115)(113,119)(114,150)(117,123)(118,153)(121,137)(122,157)(125,131)(129,134)
        (133,135)(138,144)(139,159)(140,158)(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, 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)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,125)( 60, 93)( 62, 68)( 63,129)( 66, 72)( 67,133)( 70, 96)( 71,137)( 75,104)( 76,101)( 78, 84)
        ( 79,114)( 80,120)( 82, 88)( 83,110)( 86, 92)( 87,106)( 90, 95)( 91,147)( 94,121)( 97,103)( 98,123)( 99,141)
        (102,145)(105,111)(107,146)(109,115)(113,118)(117,119)(122,128)(124,148)(126,132)(127,142)(130,136)(131,149)
        (134,140)(135,153)(138,144)(139,157)(143,152)(150,156)(151,158)(154,160)(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, 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)( 39,103)( 40, 69)( 43, 73)( 46, 52)( 47, 94)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59, 75)( 60, 93)( 62, 68)( 63,105)( 66, 72)( 67,102)( 70,100)( 71, 98)( 76,104)( 78, 84)( 79,123)
        ( 80,115)( 82, 88)( 83,127)( 86, 92)( 87,130)( 90, 96)( 91,134)( 95,110)( 97, 99)(101,106)(108,114)(109,135)
        (112,118)(113,138)(116,119)(117,142)(120,126)(121,153)(122,146)(124,129)(125,157)(128,133)(131,137)(132,158)
        (136,141)(139,145)(140,159)(143,149)(144,155)(147,151)(148,150)(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, 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, 59)( 40, 66)( 43, 69)( 46, 52)( 47, 89)( 48, 70)( 50, 56)( 51, 93)( 54, 73)( 55, 97)
        ( 58, 64)( 60, 72)( 62, 68)( 63, 67)( 71, 86)( 74, 80)( 75,109)( 76,101)( 78, 84)( 79,113)( 82, 88)( 83,117)
        ( 87, 92)( 90, 96)( 91,118)( 94,100)( 95,121)( 98,104)( 99,125)(102,105)(103,129)(106,112)(107,139)(108,133)
        (110,116)(111,143)(114,120)(115,147)(119,124)(122,128)(123,148)(126,132)(127,151)(130,136)(131,154)(134,137)
        (135,158)(138,142)(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, 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, 91)( 39, 72)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 59)( 54,104)( 57, 76)
        ( 58,107)( 61, 67)( 62,115)( 63, 85)( 65, 71)( 66,119)( 69, 75)( 70,123)( 73, 87)( 74,127)( 77, 83)( 78,135)
        ( 79,111)( 81, 86)( 82,118)( 88, 94)( 89,139)( 90,131)( 92, 98)( 93,143)( 96,102)( 97,147)(100,106)(101,151)
        (105,110)(108,114)(109,152)(112,132)(113,142)(116,122)(117,136)(120,126)(121,155)(124,130)(125,160)(128,134)
        (129,157)(133,138)(137,158)(140,146)(141,153)(144,150)(145,149)(148,154)(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, 75)( 28, 57)( 30, 36)( 31, 79)( 34, 61)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 70)( 42, 48)( 43, 99)( 46, 52)( 47,103)( 50, 56)( 51,107)( 54, 60)( 55,111)
        ( 58, 73)( 59,115)( 62, 68)( 63,123)( 64, 87)( 66, 72)( 67,127)( 71, 91)( 74, 78)( 76, 82)( 77,116)( 80, 86)
        ( 81,132)( 84, 90)( 85,135)( 88,119)( 89,139)( 92, 98)( 93,121)( 94,128)( 96,102)( 97,144)(100,106)(101,147)
        (104,110)(105,150)(108,114)(109,154)(112,118)(113,158)(117,131)(120,126)(122,143)(124,130)(125,129)(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, 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)( 39,160)( 40, 73)( 42, 48)( 43, 75)( 46, 52)( 47, 71)( 50, 56)( 51, 67)( 54, 60)( 55, 63)
        ( 58, 77)( 59, 94)( 62, 68)( 64, 93)( 66, 72)( 70, 76)( 74,159)( 78, 84)( 79,105)( 80, 97)( 82, 88)( 83,109)
        ( 86, 92)( 87,113)( 90, 96)( 91,117)( 95,100)( 98,101)( 99,118)(102,108)(103,129)(104,121)(106,112)(107,133)
        (110,116)(111,136)(114,120)(115,140)(119,124)(122,125)(123,141)(126,132)(127,151)(128,144)(130,135)(131,155)
        (134,139)(137,143)(138,156)(142,147)(145,148)(146,157)(149,154)(150,153)(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, 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)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 52)( 47,109)( 50, 56)( 51,113)( 54, 60)( 55,117)
        ( 58, 77)( 59,121)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,100)( 70, 76)( 71, 75)( 74, 97)( 78, 84)( 79,130)
        ( 80,124)( 82, 88)( 83,134)( 86, 92)( 87,138)( 90, 96)( 91,142)( 94,103)( 95,145)( 98,104)(102,108)(106,112)
        (107,146)(110,116)(111,149)(114,120)(115,153)(118,123)(119,157)(122,127)(125,128)(126,158)(129,133)(131,137)
        (132,159)(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, 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)( 39,102)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 51, 56)( 52, 74)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 93)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 97)( 71,134)( 75,111)( 76,107)( 78, 84)
        ( 79,122)( 80,115)( 82, 88)( 83, 95)( 86, 92)( 87, 91)( 90, 96)( 94,119)( 98,101)(100,106)(104,110)(105,135)
        (108,138)(109,146)(113,118)(114,139)(116,142)(117,155)(120,126)(121,143)(124,129)(125,157)(128,133)(131,137)
        (132,158)(136,149)(140,154)(141,150)(144,160)(145,152)(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, 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, 72)( 47,108)( 50, 56)( 51,120)( 52, 73)( 55, 76)
        ( 58, 64)( 59,128)( 60, 92)( 62, 68)( 63,132)( 66, 71)( 67,136)( 70, 96)( 74,116)( 75,112)( 77, 83)( 78, 90)
        ( 79,121)( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,124)( 94,122)( 97,103)( 98,147)( 99,137)(101,107)(102,152)
        (105,111)(106,149)(109,115)(110,145)(113,140)(114,153)(117,123)(118,127)(119,141)(125,131)(126,158)(129,135)
        (130,159)(133,139)(134,155)(138,143)(142,157)(144,150)(146,156)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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, 72)( 47,108)( 50, 56)( 51,120)( 52, 73)( 55, 76)
        ( 58, 64)( 59,128)( 60, 92)( 62, 68)( 63,132)( 66, 71)( 67,136)( 70, 96)( 74,116)( 75,112)( 77, 83)( 78, 90)
        ( 79,121)( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,124)( 94,122)( 97,103)( 98,148)( 99,137)(101,107)(102,153)
        (105,111)(106,150)(109,115)(110,146)(113,140)(114,154)(117,123)(118,127)(119,141)(125,131)(126,142)(129,135)
        (130,159)(133,139)(134,156)(138,144)(143,158)(145,151)(147,157)(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, 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, 70)( 40, 69)( 42, 48)( 43, 98)( 46, 73)( 47,101)( 50, 56)( 51,113)( 52, 74)( 55, 77)
        ( 58, 64)( 59,121)( 60, 93)( 62, 68)( 63,125)( 66, 72)( 67,128)( 71, 97)( 75,109)( 76,105)( 78, 84)( 79,139)
        ( 80,114)( 82, 88)( 83,143)( 86, 92)( 87,148)( 90, 96)( 91,145)( 94,117)( 95,141)( 99,104)(100,129)(102,108)
        (103,150)(106,132)(107,153)(110,116)(111,158)(112,133)(115,135)(118,124)(119,155)(120,137)(122,127)(123,152)
        (126,131)(130,149)(134,157)(136,142)(138,159)(140,146)(144,147)(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, 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, 76)( 52, 58)( 53,108)( 56, 79)
        ( 57,111)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,131)( 72, 91)( 73,135)( 77,107)( 78,103)
        ( 81, 86)( 82,115)( 84, 90)( 85,148)( 88,119)( 89,151)( 93, 98)( 94,139)( 96,102)( 97,157)(100,106)(101,153)
        (104,143)(105,150)(109,114)(110,144)(112,118)(113,160)(116,147)(117,146)(120,126)(121,141)(122,155)(124,130)
        (125,137)(128,134)(129,133)(132,138)(136,142)(140,156)(145,159)(149,154)(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, 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)( 69,131)( 72, 91)( 73,135)( 77,111)( 78,107)
        ( 81, 86)( 82,116)( 84, 90)( 85,144)( 88,119)( 89,147)( 92, 98)( 93,160)( 94,139)( 96,102)( 97,157)(100,106)
        (101,153)(104,110)(105,149)(108,114)(109,146)(113,118)(117,143)(120,126)(121,141)(122,151)(124,130)(125,137)
        (128,134)(129,133)(132,138)(136,142)(140,155)(145,150)(148,154)(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, 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, 90)( 39, 72)( 41, 47)( 42, 94)( 45, 76)( 46, 98)( 49, 55)( 50,110)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,130)( 63, 85)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 88)( 74,139)( 78,106)
        ( 79,102)( 82, 87)( 83,122)( 86,126)( 89, 93)( 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)(116,158)(119,125)(120,149)(123,129)(124,145)
        (127,133)(131,137)(135,141)(144,146)(147,153)(148,159)(151,157)(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, 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, 89)( 39, 72)( 41, 47)( 42, 92)( 45, 76)( 46, 96)( 49, 55)( 50,108)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58,116)( 61, 67)( 62,128)( 63, 85)( 65, 71)( 66,132)( 69, 75)( 70,136)( 73, 88)( 74,141)( 78,104)
        ( 79,100)( 82, 87)( 83,120)( 86,124)( 90, 95)( 91,138)( 93, 99)( 94,134)( 97,103)( 98,130)(101,142)(102,126)
        (105,111)(106,150)(107,143)(109,115)(110,153)(113,119)(114,157)(117,123)(118,149)(121,127)(122,145)(125,131)
        (129,135)(133,139)(137,140)(144,146)(147,152)(148,158)(151,156)(154,160)(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, 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)( 62,131)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 92)( 74,143)( 78,112)
        ( 79,108)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89,127)( 90,102)( 93, 99)( 94,129)( 95,147)( 97,103)( 98,130)
        (101,107)(105,111)(109,124)(113,118)(114,152)(115,125)(117,122)(120,126)(121,151)(128,134)(132,138)(133,148)
        (136,142)(137,153)(140,146)(141,157)(144,150)(145,158)(149,156)(154,160)(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, 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)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,136)( 63, 88)( 65, 71)( 66,137)( 69, 75)( 70,140)( 73, 92)( 74,145)( 78,112)
        ( 79,108)( 82, 87)( 83,128)( 85, 91)( 86,150)( 89,132)( 90,153)( 93, 99)( 94,134)( 95,142)( 97,103)( 98,158)
        (101,107)(102,159)(105,111)(106,155)(109,146)(110,152)(113,119)(114,126)(115,147)(117,123)(118,122)(121,127)
        (125,131)(129,149)(130,148)(133,139)(135,157)(138,143)(141,144)(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, 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)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,140)( 73, 92)( 74,137)( 78,108)
        ( 79,104)( 82, 87)( 83,123)( 85, 91)( 86,146)( 89,127)( 90,149)( 94, 99)( 95,133)( 97,103)( 98,129)(101,107)
        (102,151)(105,141)(106,148)(109,114)(110,157)(111,142)(113,118)(116,122)(117,158)(120,126)(121,156)(124,145)
        (125,144)(128,134)(130,150)(132,138)(136,139)(143,153)(147,152)(154,160)(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, 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)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,135)( 63, 88)( 65, 71)( 66,139)( 69, 75)( 70,144)( 73, 92)( 74,141)( 78,112)
        ( 79,108)( 82, 87)( 83,127)( 85, 91)( 86,150)( 89,131)( 90,153)( 93, 99)( 94,133)( 95,137)( 97,103)( 98,158)
        (101,107)(102,159)(105,111)(106,155)(109,145)(110,152)(113,119)(114,118)(115,146)(117,123)(121,126)(122,147)
        (125,130)(128,149)(129,148)(132,138)(134,157)(136,142)(140,143)(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, 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, 73)( 62, 87)( 64, 70)( 65, 69)( 68, 74)( 72, 91)( 77,111)( 78,107)( 81, 86)( 82,119)
        ( 84, 90)( 85,128)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(100,106)(101,140)(104,110)(105,143)
        (108,123)(109,147)(112,118)(113,157)(114,124)(117,122)(120,127)(121,158)(125,155)(126,151)(129,134)(130,153)
        (132,138)(133,149)(136,142)(137,145)(141,146)(144,150)(148,154)(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, 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, 84)( 39, 72)( 41, 47)( 42, 88)( 45, 76)( 46, 92)( 49, 55)( 50,104)( 51, 77)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 71)( 66,120)( 69, 75)( 70,124)( 73, 80)( 74,128)( 78,100)( 79, 96)( 81, 87)
        ( 82,133)( 83,132)( 85, 91)( 86,134)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,136)( 98,122)(101,107)(102,144)
        (103,137)(105,111)(106,148)(109,115)(110,152)(113,119)(114,143)(117,123)(118,139)(121,127)(125,131)(129,135)
        (138,140)(141,147)(142,153)(145,151)(146,156)(149,155)(150,160)(154,158)(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, 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)( 50,113)( 51, 73)( 53, 59)( 54,110)
        ( 57, 76)( 58,114)( 61, 67)( 62,125)( 63, 84)( 66, 71)( 69, 88)( 70,126)( 74,108)( 75,104)( 77, 83)( 78,137)
        ( 79,118)( 82, 87)( 85,121)( 86,138)( 89, 95)( 90,149)( 91,129)( 93, 99)( 94,153)( 97,103)( 98,154)(101,107)
        (102,157)(105,116)(106,136)(109,112)(111,117)(115,120)(119,133)(122,128)(123,148)(124,141)(127,132)(130,146)
        (131,145)(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, 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)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,131)( 63, 84)( 65, 71)( 66,135)( 70, 88)( 74,108)( 75,104)( 77, 83)( 78,147)
        ( 79,123)( 82, 87)( 85,127)( 86,148)( 89, 95)( 90,137)( 91,136)( 93, 99)( 94,133)( 97,103)( 98,129)(101,107)
        (102,152)(105,139)(106,146)(109,114)(110,140)(112,118)(113,156)(116,122)(117,160)(120,126)(121,158)(124,143)
        (125,142)(128,134)(130,151)(132,138)(141,155)(144,150)(145,153)(149,154)(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, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 92)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 86)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 88)( 74,136)( 78,108)
        ( 79,104)( 81, 87)( 82,130)( 83,123)( 89, 95)( 90, 94)( 91,139)( 93, 99)( 97,103)( 98,140)(101,107)(102,151)
        (105,143)(106,150)(109,115)(110,160)(111,144)(113,118)(114,157)(117,122)(120,126)(121,158)(124,147)(125,146)
        (128,134)(129,148)(132,138)(133,153)(137,142)(141,154)(145,155)(149,152)(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, 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)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,132)( 63, 88)( 65, 71)( 66,136)( 69, 75)( 70,140)( 73, 92)( 74,144)( 78,112)
        ( 79,108)( 81, 87)( 82,152)( 83,110)( 86, 91)( 89,128)( 90,153)( 93, 99)( 94,138)( 95,148)( 97,103)( 98,134)
        (101,107)(102,130)(105,111)(106,155)(109,125)(113,119)(114,156)(115,126)(117,123)(118,160)(121,127)(122,158)
        (129,135)(131,154)(133,139)(137,143)(141,147)(142,149)(145,151)(146,150)(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, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 92)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 86)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 89)( 74, 88)( 78,108)
        ( 79,104)( 81, 87)( 82,130)( 83,123)( 90, 95)( 91,136)( 93, 99)( 94,148)( 97,103)( 98,149)(101,107)(102,151)
        (105,139)(106,146)(109,114)(110,140)(112,118)(113,156)(116,122)(117,160)(120,126)(121,158)(124,143)(125,142)
        (128,134)(129,144)(132,138)(133,153)(137,147)(141,155)(145,152)(150,154)(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, 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)( 50,117)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,129)( 63, 88)( 65, 71)( 66,130)( 69, 75)( 70,133)( 73, 93)( 74, 92)( 78,112)
        ( 79,108)( 81, 87)( 82,141)( 83,122)( 86, 91)( 89,125)( 90,142)( 94, 99)( 95,134)( 97,103)( 98,150)(101,107)
        (102,153)(105,111)(106,157)(109,120)(110,140)(113,116)(115,121)(119,124)(123,137)(126,132)(127,152)(128,145)
        (131,136)(135,149)(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, 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)( 54,120)
        ( 57, 80)( 58,123)( 61, 67)( 62,135)( 63, 88)( 65, 71)( 66, 95)( 69, 75)( 70, 74)( 73, 92)( 78,112)( 79,108)
        ( 81, 87)( 82,147)( 83,127)( 86, 91)( 89,131)( 90,148)( 93, 99)( 94,136)( 97,103)( 98,137)(101,107)(102,133)
        (105,111)(106,152)(109,139)(110,146)(113,119)(114,160)(115,140)(117,122)(118,157)(121,126)(124,130)(125,158)
        (128,143)(129,142)(132,138)(134,151)(141,155)(144,150)(145,153)(149,154)(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, 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, 96)( 45, 72)( 46,100)( 49, 55)( 50,110)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,115)( 61, 67)( 62,125)( 63, 85)( 66, 71)( 69, 88)( 70,126)( 74,106)( 75,105)( 77, 83)( 78,137)
        ( 79,118)( 81, 87)( 82,141)( 86,121)( 89, 95)( 90,149)( 91,129)( 93, 99)( 94,153)( 97,103)( 98,157)(101,104)
        (102,109)(107,113)(108,158)(111,117)(112,136)(116,120)(119,133)(122,128)(123,148)(124,142)(127,132)(130,146)
        (131,145)(134,140)(135,159)(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, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 90)( 39, 72)( 41, 47)( 42, 94)( 45, 76)( 46, 98)( 49, 55)( 50,110)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,130)( 63, 85)( 65, 71)( 66,134)( 69, 75)( 70,138)( 73, 88)( 74,139)( 78,106)
        ( 79,102)( 82, 87)( 83,122)( 86,126)( 89, 93)( 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)(116,158)(119,125)(120,149)(123,129)(124,145)
        (127,133)(131,137)(135,141)(144,146)(147,153)(148,159)(151,157)(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, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 89)( 39, 72)( 41, 47)( 42, 92)( 45, 76)( 46, 96)( 49, 55)( 50,108)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58,116)( 61, 67)( 62,128)( 63, 85)( 65, 71)( 66,132)( 69, 75)( 70,136)( 73, 88)( 74,141)( 78,104)
        ( 79,100)( 82, 87)( 83,120)( 86,124)( 90, 95)( 91,138)( 93, 99)( 94,134)( 97,103)( 98,130)(101,142)(102,126)
        (105,111)(106,150)(107,143)(109,115)(110,153)(113,119)(114,157)(117,123)(118,149)(121,127)(122,145)(125,131)
        (129,135)(133,139)(137,140)(144,146)(147,152)(148,158)(151,156)(154,160)(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, 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, 92)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 86)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 88)( 74,136)( 78,108)
        ( 79,104)( 81, 87)( 82,130)( 83,123)( 89, 95)( 90, 94)( 91,139)( 93, 99)( 97,103)( 98,140)(101,107)(102,151)
        (105,143)(106,150)(109,115)(110,160)(111,144)(113,118)(114,157)(117,122)(120,126)(121,158)(124,147)(125,146)
        (128,134)(129,148)(132,138)(133,153)(137,142)(141,154)(145,155)(149,152)(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, 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)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,132)( 63, 89)( 65, 71)( 66,136)( 69, 75)( 70,140)( 73, 92)( 74,144)( 78,112)
        ( 79,108)( 81, 87)( 82,152)( 83,110)( 85, 91)( 86,153)( 90,128)( 93, 99)( 94,138)( 95,148)( 97,103)( 98,134)
        (101,107)(102,130)(105,111)(106,155)(109,125)(113,119)(114,156)(115,126)(117,123)(118,160)(121,127)(122,158)
        (129,135)(131,154)(133,139)(137,143)(141,147)(142,149)(145,151)(146,150)(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, 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)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,136)( 63, 89)( 65, 71)( 66,137)( 69, 75)( 70,140)( 73, 92)( 74,145)( 78,112)
        ( 79,108)( 81, 87)( 82,153)( 83,128)( 85, 91)( 86,157)( 90,132)( 93, 99)( 94,134)( 95,142)( 97,103)( 98,159)
        (101,107)(102,155)(105,111)(106,151)(109,146)(110,152)(113,119)(114,126)(115,147)(117,123)(118,122)(121,127)
        (125,131)(129,149)(130,148)(133,139)(135,158)(138,143)(141,144)(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, 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)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 89)( 65, 71)( 66,135)( 69, 75)( 70,140)( 73, 92)( 74,137)( 78,108)
        ( 79,104)( 81, 87)( 82,146)( 83,123)( 85, 91)( 86,149)( 90,127)( 94, 99)( 95,133)( 97,103)( 98,129)(101,107)
        (102,151)(105,141)(106,148)(109,114)(110,157)(111,142)(113,118)(116,122)(117,158)(120,126)(121,156)(124,145)
        (125,144)(128,134)(130,150)(132,138)(136,139)(143,153)(147,152)(154,160)(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, 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)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,135)( 63, 89)( 65, 71)( 66,139)( 69, 75)( 70,144)( 73, 92)( 74,141)( 78,112)
        ( 79,108)( 81, 87)( 82,153)( 83,127)( 85, 91)( 86,157)( 90,131)( 93, 99)( 94,133)( 95,137)( 97,103)( 98,159)
        (101,107)(102,155)(105,111)(106,151)(109,145)(110,152)(113,119)(114,118)(115,146)(117,123)(121,126)(122,147)
        (125,130)(128,149)(129,148)(132,138)(134,158)(136,142)(140,143)(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, 84)( 28, 56)( 30, 35)( 31, 85)( 34, 60)
        ( 37, 43)( 38, 92)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 86)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 89)( 74, 88)( 78,108)
        ( 79,104)( 81, 87)( 82,130)( 83,123)( 90, 95)( 91,136)( 93, 99)( 94,148)( 97,103)( 98,149)(101,107)(102,151)
        (105,139)(106,146)(109,114)(110,140)(112,118)(113,156)(116,122)(117,160)(120,126)(121,158)(124,143)(125,142)
        (128,134)(129,144)(132,138)(133,153)(137,147)(141,155)(145,152)(150,154)(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, 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)( 50,117)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,129)( 63, 89)( 65, 71)( 66,130)( 69, 75)( 70,133)( 73, 93)( 74, 92)( 78,112)
        ( 79,108)( 81, 87)( 82,141)( 83,122)( 85, 91)( 86,145)( 90,125)( 94, 99)( 95,134)( 97,103)( 98,150)(101,107)
        (102,153)(105,111)(106,157)(109,120)(110,140)(113,116)(115,121)(119,124)(123,137)(126,132)(127,152)(128,146)
        (131,136)(135,149)(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, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 50)( 16, 33)( 18, 37)( 19, 60)( 23, 48)( 24, 45)( 26, 32)( 27, 72)( 28, 56)( 30, 36)( 31, 76)( 34, 54)
        ( 35, 80)( 38, 44)( 39,160)( 40, 64)( 42, 47)( 43, 66)( 46, 62)( 49, 55)( 51, 63)( 53, 59)( 57, 68)( 58, 81)
        ( 61, 67)( 65,159)( 69, 75)( 70, 92)( 71, 84)( 73, 79)( 74, 96)( 77, 83)( 78,100)( 82, 87)( 85, 88)( 86,101)
        ( 89, 95)( 90,112)( 91,104)( 93, 99)( 94,116)( 97,103)( 98,120)(102,107)(105,108)(106,121)(109,115)(110,132)
        (111,124)(113,119)(114,136)(117,123)(118,140)(122,127)(125,128)(126,141)(129,135)(130,151)(131,144)(133,139)
        (134,155)(137,143)(138,156)(142,147)(145,148)(146,157)(149,154)(150,153)(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, 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)( 59,123)( 63, 68)( 64, 92)( 66, 72)( 67, 93)( 70, 96)( 71,131)( 75,111)( 77, 83)( 78,143)
        ( 79,127)( 81, 87)( 82,147)( 85, 91)( 86,151)( 89, 95)( 90,155)( 94,134)( 97,103)( 98,149)( 99,135)(101,107)
        (102,145)(105,110)(106,141)(109,114)(112,118)(113,142)(116,122)(117,129)(120,126)(121,125)(124,130)(128,139)
        (132,138)(133,156)(136,153)(137,160)(140,146)(144,150)(148,154)(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, 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)
        ( 55,124)( 58, 77)( 59,128)( 63, 68)( 64, 93)( 66, 72)( 67,133)( 70, 97)( 71,136)( 75,116)( 76,112)( 78, 84)
        ( 79,107)( 80,114)( 82, 88)( 83,103)( 86, 92)( 87, 99)( 90, 96)( 91,141)( 94,132)( 95,144)( 98,104)(100,140)
        (102,108)(106,111)(110,115)(113,129)(117,123)(118,152)(119,130)(121,127)(122,156)(125,131)(126,154)(134,139)
        (135,148)(137,143)(138,159)(142,147)(145,151)(146,160)(149,158)(150,157)(153,155),
      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, 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, 85)( 38, 44)( 39, 96)( 40, 68)( 42, 47)( 43,100)( 46, 72)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,117)( 61, 67)( 62,122)( 63, 88)( 66, 71)( 69, 92)( 70,123)( 74,104)( 75,101)( 77, 83)( 78,133)
        ( 79,114)( 81, 87)( 82,137)( 86, 91)( 89,118)( 90,138)( 93, 99)( 94,149)( 95,126)( 97,103)( 98,153)(102,130)
        (105,111)(106,157)(107,131)(109,115)(110,136)(113,116)(119,125)(120,148)(121,141)(124,129)(127,146)(128,145)
        (132,154)(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, 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, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 68)( 63,132)( 64, 88)( 67, 72)( 70, 92)( 71,133)( 75,108)( 77, 83)( 78,142)
        ( 79,124)( 82, 87)( 85, 91)( 86,143)( 89,128)( 90,146)( 93, 99)( 94,130)( 95,137)( 97,103)( 98,151)(101,107)
        (102,154)(105,111)(106,157)(109,115)(110,141)(113,119)(114,126)(117,123)(118,122)(121,127)(125,138)(129,135)
        (131,150)(134,136)(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, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 68)( 63,132)( 64, 88)( 67, 72)( 70, 92)( 71,133)( 75,108)( 77, 83)( 78,142)
        ( 79,124)( 81, 87)( 82,146)( 86, 91)( 89,128)( 90,147)( 93, 99)( 94,130)( 95,137)( 97,103)( 98,151)(101,107)
        (102,154)(105,111)(106,158)(109,115)(110,141)(113,119)(114,126)(117,123)(118,122)(121,127)(125,138)(129,135)
        (131,150)(134,136)(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, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 56)( 51,114)( 52, 73)( 54, 59)
        ( 55,118)( 58, 76)( 61, 67)( 62,126)( 63, 89)( 66, 71)( 69, 92)( 70,127)( 74,112)( 75,108)( 77, 83)( 78,138)
        ( 79,119)( 81, 87)( 82,141)( 85, 91)( 86,145)( 90,122)( 93, 99)( 94,131)( 95,130)( 97,103)( 98,150)(101,107)
        (102,153)(105,111)(106,157)(109,116)(110,137)(113,117)(115,121)(120,134)(123,129)(124,152)(125,146)(128,133)
        (132,149)(135,140)(136,158)(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, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,124)( 62, 68)( 63,135)( 64, 88)( 67, 72)( 70, 92)( 71,136)( 75,112)( 76,108)( 78, 84)
        ( 79, 90)( 80,127)( 83, 87)( 86, 91)( 89,131)( 93, 99)( 94,106)( 95,139)( 97,103)( 98,102)(101,107)(105,111)
        (109,143)(110,140)(113,119)(114,156)(115,144)(117,123)(118,153)(121,126)(122,157)(125,130)(128,134)(129,158)
        (132,138)(133,149)(137,142)(141,150)(145,151)(146,147)(148,159)(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, 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, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,124)( 62, 68)( 63,135)( 64, 88)( 67, 72)( 70, 92)( 71,136)( 75,112)( 76,108)( 78, 83)
        ( 79, 90)( 80,127)( 82, 87)( 86, 91)( 89,131)( 93, 99)( 94,106)( 95,139)( 97,103)( 98,102)(101,107)(105,111)
        (109,143)(110,140)(113,119)(114,156)(115,144)(117,123)(118,153)(121,126)(122,157)(125,130)(128,134)(129,158)
        (132,138)(133,149)(137,142)(141,150)(145,151)(146,147)(148,159)(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, 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, 97)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,117)( 52, 74)( 54, 60)
        ( 55,121)( 58, 77)( 59,125)( 62, 68)( 63,136)( 64, 90)( 67, 72)( 70, 93)( 71,137)( 75,113)( 76,109)( 78, 84)
        ( 79,149)( 80,128)( 82, 88)( 83,153)( 86, 92)( 87,157)( 91,132)( 94,100)( 95,134)( 96,141)( 98,104)( 99,159)
        (102,108)(103,155)(106,112)(107,151)(110,142)(111,148)(114,120)(115,119)(116,143)(118,124)(122,127)(123,144)
        (126,131)(129,146)(130,145)(133,139)(135,158)(138,140)(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, 66)( 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)( 43,101)( 46, 73)( 47,104)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 93)( 67, 72)( 70, 97)( 71,136)( 75,111)( 76,108)( 78, 84)
        ( 79,151)( 80,127)( 82, 88)( 83,155)( 86, 92)( 87,160)( 90, 96)( 91,157)( 94,131)( 95,153)( 99,103)(100,139)
        (102,107)(105,110)(106,140)(109,143)(112,118)(113,150)(114,144)(116,122)(117,129)(120,126)(121,125)(124,130)
        (128,147)(132,138)(133,145)(134,149)(137,142)(141,146)(148,154)(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, 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)( 39,100)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,104)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 93)( 67, 72)( 70, 97)( 71,136)( 75,111)( 76,108)( 78, 84)
        ( 79,151)( 80,127)( 82, 88)( 83,155)( 86, 92)( 87,160)( 90, 96)( 91,157)( 94,131)( 95,153)( 98,103)( 99,139)
        (102,107)(105,110)(106,140)(109,143)(112,118)(113,150)(114,144)(116,122)(117,129)(120,126)(121,125)(124,130)
        (128,147)(132,138)(133,145)(134,149)(137,142)(141,146)(148,154)(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, 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, 98)( 40, 69)( 42, 48)( 43,102)( 46, 73)( 47,106)( 50, 56)( 51,118)( 52, 74)( 54, 60)
        ( 55,122)( 58, 77)( 59,126)( 62, 68)( 63,138)( 64, 92)( 67, 72)( 70, 96)( 71,139)( 75,114)( 76,110)( 78, 83)
        ( 79,149)( 80,130)( 82, 87)( 85, 91)( 86,150)( 89, 95)( 90,153)( 93,134)( 94,154)( 97,101)( 99,105)(100,140)
        (103,109)(104,136)(107,113)(108,158)(111,142)(112,148)(115,121)(116,128)(117,143)(119,125)(120,124)(123,129)
        (127,133)(131,145)(132,144)(135,141)(137,157)(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, 66)( 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)( 43,102)( 46, 73)( 47,106)( 50, 56)( 51,118)( 52, 74)( 54, 60)
        ( 55,122)( 58, 77)( 59,126)( 62, 68)( 63,138)( 64, 92)( 67, 72)( 70, 96)( 71,139)( 75,114)( 76,110)( 78, 84)
        ( 79,149)( 80,130)( 82, 88)( 83,150)( 86, 91)( 87,153)( 90, 95)( 93,134)( 94,154)( 97,101)( 99,105)(100,140)
        (103,109)(104,136)(107,113)(108,158)(111,142)(112,148)(115,121)(116,128)(117,143)(119,125)(120,124)(123,129)
        (127,133)(131,145)(132,144)(135,141)(137,157)(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, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,121)( 58, 77)( 59,118)( 62, 68)( 63,126)( 64, 90)( 67, 72)( 70, 93)( 71,127)( 75,112)( 76,109)( 78, 84)
        ( 79,138)( 80,114)( 82, 88)( 83,141)( 86, 92)( 87,145)( 91,122)( 94,100)( 95,131)( 96,130)( 98,104)( 99,150)
        (102,108)(103,153)(106,111)(107,157)(110,134)(113,119)(115,135)(117,120)(123,129)(124,152)(125,146)(128,133)
        (132,149)(136,140)(137,158)(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, 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)( 43,105)( 46, 73)( 47,109)( 50, 56)( 51,122)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,134)( 64, 93)( 67, 72)( 70, 97)( 71,135)( 75,117)( 76,113)( 78, 84)
        ( 79,146)( 80,127)( 82, 88)( 83,150)( 86, 92)( 87,154)( 90, 96)( 91,155)( 94,130)( 95,152)( 98,104)( 99,103)
        (100,138)(102,108)(106,112)(107,139)(110,116)(111,157)(114,125)(115,145)(118,121)(120,126)(124,129)(128,142)
        (131,137)(132,159)(133,148)(136,141)(140,160)(143,149)(144,158)(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, 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)( 50,108)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,116)( 61, 67)( 62,114)( 63, 92)( 65, 71)( 66,110)( 70, 96)( 74, 98)( 75,105)( 77, 83)( 78,128)
        ( 79,120)( 81, 87)( 82,131)( 85, 91)( 86,135)( 89, 95)( 90,139)( 93,118)( 94,143)( 97,103)( 99,111)(101,107)
        (102,106)(109,115)(113,119)(117,123)(121,124)(122,144)(125,130)(126,153)(127,147)(129,134)(132,138)(133,154)
        (136,142)(137,157)(140,146)(141,158)(145,150)(148,151)(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, 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)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,120)( 61, 67)( 62, 98)( 63, 92)( 65, 71)( 66,129)( 70, 96)( 74,108)( 75,105)( 77, 83)( 78,138)
        ( 79,124)( 81, 87)( 82,141)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93,102)( 94,133)( 97,103)( 99,128)(101,107)
        (106,130)(109,115)(110,153)(111,131)(113,119)(114,157)(117,123)(118,137)(121,127)(122,126)(125,134)(132,150)
        (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, 52)( 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, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 55)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,119)( 61, 67)( 62,131)( 63, 91)( 65, 71)( 66,135)( 70, 95)( 74,115)( 75,111)( 77, 82)( 78,123)
        ( 80, 86)( 81,144)( 84, 90)( 85,147)( 88, 94)( 89,151)( 92,127)( 93,155)( 96,102)( 97,129)( 98,136)(100,106)
        (101,157)(104,110)(105,153)(108,114)(109,149)(112,139)(113,146)(117,122)(118,140)(120,126)(121,160)(124,143)
        (125,142)(128,134)(130,156)(132,138)(133,137)(141,159)(145,150)(148,154)(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, 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, 78)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 70)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 89)( 66, 72)( 67,139)( 71, 92)( 75,112)( 76,108)( 79, 84)
        ( 80,127)( 82, 88)( 83,148)( 86, 91)( 87,151)( 90,131)( 93, 99)( 94,141)( 95,140)( 97,103)( 98,137)(101,107)
        (102,133)(105,111)(106,153)(109,143)(110,150)(113,118)(114,144)(116,122)(117,156)(120,126)(121,160)(124,130)
        (125,158)(128,147)(129,146)(132,138)(134,152)(136,142)(145,155)(149,154)(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, 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)( 47,108)( 50, 56)( 51,120)( 52, 74)( 54, 60)
        ( 55,124)( 58, 77)( 59,128)( 62, 68)( 63,140)( 64, 92)( 66, 72)( 67,144)( 71, 96)( 75,116)( 76,112)( 78, 84)
        ( 79, 94)( 80,132)( 82, 87)( 83, 90)( 86, 91)( 89, 95)( 93,136)( 97,103)( 98,102)( 99,145)(101,107)(105,111)
        (106,146)(109,115)(110,142)(113,148)(114,138)(117,123)(118,155)(119,149)(121,127)(122,160)(125,131)(126,157)
        (129,135)(130,154)(133,139)(134,151)(137,143)(141,147)(150,152)(153,158)(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, 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)( 39,101)( 40, 69)( 42, 47)( 43, 98)( 46, 72)( 49, 55)( 50, 62)( 51, 73)( 53, 59)( 54, 93)
        ( 57, 76)( 58,102)( 61, 67)( 63, 92)( 65, 71)( 66, 74)( 70, 96)( 75, 99)( 77, 83)( 78,114)( 79,106)( 81, 87)
        ( 82,118)( 85, 91)( 86,122)( 89, 95)( 90,126)( 94,105)( 97,100)(103,109)(104,127)(107,110)(108,130)(111,117)
        (112,142)(113,134)(115,121)(116,143)(119,125)(120,146)(123,129)(124,150)(128,133)(131,137)(132,151)(135,138)
        (136,154)(139,145)(140,158)(141,157)(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, 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, 97)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 93)( 65, 71)( 66,136)( 69, 75)( 70,133)( 73, 96)( 74,129)( 78,108)
        ( 79,104)( 81, 87)( 82,146)( 83,123)( 85, 91)( 86,149)( 89, 95)( 90,139)( 94,127)( 98,103)( 99,137)(101,107)
        (102,151)(105,141)(106,148)(109,114)(110,157)(111,142)(113,118)(116,122)(117,158)(120,126)(121,156)(124,145)
        (125,144)(128,134)(130,140)(132,135)(138,150)(143,153)(147,152)(154,160)(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, 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)( 50,113)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 96)( 65, 71)( 66,132)( 69, 75)( 70,129)( 73,100)( 74,125)( 78,112)
        ( 79,108)( 81, 87)( 82,141)( 83,120)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,123)( 98,157)
        (101,107)(102,139)(103,133)(106,111)(109,117)(110,140)(114,118)(116,122)(121,137)(124,130)(126,136)(128,131)
        (134,143)(135,158)(138,144)(142,148)(146,152)(147,159)(150,156)(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, 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, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 71)( 42, 47)( 43, 78)( 46, 75)( 49, 55)( 50,107)( 51, 76)( 53, 59)( 54,111)
        ( 57, 79)( 58,115)( 61, 66)( 62, 69)( 63, 95)( 65, 70)( 68, 74)( 72, 99)( 73, 96)( 77,104)( 80, 86)( 81,131)
        ( 82,119)( 84, 90)( 85,135)( 88, 94)( 89,139)( 92, 98)( 93,143)( 97,126)(100,106)(101,151)(102,123)(105,110)
        (108,114)(109,152)(112,118)(113,130)(116,122)(117,121)(120,127)(124,147)(125,144)(128,134)(129,153)(132,138)
        (133,149)(136,142)(137,156)(140,146)(141,160)(145,158)(148,154)(150,155)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 47)( 43,104)( 46, 76)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,132)( 63, 92)( 65, 71)( 66,136)( 69, 75)( 70,139)( 73, 96)( 74,144)( 78,108)
        ( 79,105)( 82, 87)( 83,124)( 85, 91)( 86,150)( 89, 95)( 90,153)( 93,128)( 94,157)( 97,103)( 98,134)( 99,141)
        (101,107)(102,130)(106,145)(109,115)(110,159)(111,146)(113,119)(114,155)(117,123)(118,152)(121,127)(122,126)
        (125,149)(129,135)(131,148)(133,138)(137,142)(140,143)(147,158)(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, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 97)( 40, 71)( 42, 47)( 43,101)( 46, 75)( 49, 55)( 50,109)( 51, 76)( 53, 59)( 54,113)
        ( 57, 79)( 58,117)( 61, 66)( 62,129)( 63, 91)( 65, 70)( 68, 74)( 69,130)( 72, 95)( 73,133)( 77,105)( 78,102)
        ( 80, 86)( 81,145)( 82,121)( 85, 90)( 88, 94)( 89,146)( 92,125)( 93,149)( 96,100)( 98,104)( 99,134)(103,137)
        (106,112)(107,154)(108,138)(110,116)(111,157)(114,120)(115,144)(118,124)(119,123)(122,141)(126,132)(127,139)
        (128,153)(131,136)(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, 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)( 58,123)( 61, 67)( 62,135)( 63, 95)( 65, 71)( 66,139)( 69, 75)( 70,143)( 73, 99)( 74,144)( 78,111)
        ( 79,108)( 81, 86)( 82,127)( 84, 90)( 85,150)( 88, 94)( 89,153)( 92, 98)( 93,157)( 96,131)( 97,158)(100,106)
        (101,141)(102,148)(104,110)(105,137)(109,133)(112,118)(113,159)(114,134)(116,122)(117,155)(120,126)(121,152)
        (124,130)(125,129)(128,149)(132,138)(136,142)(140,146)(145,147)(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, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 47)( 43,108)( 46, 76)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,135)( 63, 96)( 65, 71)( 66,139)( 69, 75)( 70,143)( 73,100)( 74,148)( 78,112)
        ( 79,109)( 81, 87)( 82,128)( 83,127)( 85, 91)( 86,150)( 89, 95)( 90,153)( 93, 99)( 94,157)( 97,131)( 98,158)
        (101,107)(102,141)(103,145)(105,111)(106,137)(110,133)(113,119)(114,159)(115,134)(117,123)(118,155)(121,126)
        (122,152)(125,130)(129,149)(132,138)(136,142)(140,146)(144,147)(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, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,107)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 95)( 66, 72)( 67,139)( 70, 76)( 71,144)( 74, 99)( 75,141)
        ( 79,111)( 81, 87)( 82,149)( 83,127)( 85, 90)( 86,153)( 89, 94)( 92, 98)( 93,154)( 96,131)( 97,155)(100,106)
        (101,157)(102,137)(105,110)(108,114)(109,158)(112,118)(113,148)(116,122)(117,129)(120,126)(121,125)(124,130)
        (128,145)(132,138)(133,160)(134,151)(136,142)(140,143)(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, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,107)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 68)( 63,135)( 64, 95)( 66, 72)( 67,139)( 70, 76)( 71,144)( 74, 99)( 75,141)
        ( 79,111)( 81, 87)( 82,149)( 83,127)( 85, 91)( 86,153)( 89, 94)( 90,154)( 93, 98)( 96,131)( 97,155)(100,106)
        (101,157)(102,137)(105,110)(108,114)(109,158)(112,118)(113,148)(116,122)(117,129)(120,126)(121,125)(124,130)
        (128,145)(132,138)(133,160)(134,151)(136,142)(140,143)(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, 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, 89)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62,128)( 63, 92)( 65, 71)( 66,132)( 69, 75)( 70,136)( 73, 96)( 74,137)( 78,116)
        ( 79,112)( 81, 87)( 82,144)( 83,114)( 85, 91)( 86,148)( 90, 95)( 93,124)( 94,149)( 97,103)( 98,126)( 99,140)
        (101,107)(102,153)(105,111)(106,156)(109,115)(110,147)(113,121)(118,123)(119,122)(125,131)(127,152)(129,135)
        (130,141)(133,139)(134,160)(138,143)(142,159)(145,151)(146,157)(150,155)(154,158),
      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, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 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)( 58,123)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 99)( 74,140)( 78,119)
        ( 79,115)( 81, 86)( 82,147)( 83,117)( 85, 90)( 88, 94)( 89,148)( 92, 98)( 93,151)( 96,127)( 97,155)(100,106)
        (101,129)(102,143)(104,110)(105,157)(108,114)(109,153)(112,118)(113,150)(116,124)(121,126)(122,125)(128,134)
        (130,156)(132,138)(133,144)(136,142)(137,160)(141,146)(145,159)(149,154)(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, 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)( 58,123)( 61, 67)( 62,131)( 63, 96)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 99)( 74,140)( 78,119)
        ( 79,115)( 81, 87)( 82,147)( 83,117)( 85, 91)( 86,148)( 89, 95)( 90,151)( 93, 98)( 94,155)( 97,127)(100,106)
        (101,129)(102,143)(104,110)(105,157)(108,114)(109,153)(112,118)(113,150)(116,124)(121,126)(122,125)(128,134)
        (130,156)(132,138)(133,144)(136,142)(137,160)(141,146)(145,159)(149,154)(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, 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)( 54,121)
        ( 57, 80)( 58,123)( 61, 67)( 62,135)( 63, 96)( 65, 71)( 66,139)( 69, 75)( 70,144)( 73,100)( 74,141)( 78,120)
        ( 79,116)( 81, 87)( 82,128)( 83,127)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,131)( 98,157)
        (101,107)(102,133)(103,137)(105,111)(106,159)(109,115)(110,155)(113,119)(114,151)(117,125)(118,148)(122,126)
        (124,130)(129,145)(132,138)(134,158)(136,142)(140,143)(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, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51,116)( 52, 77)( 54, 59)
        ( 57, 80)( 58,117)( 61, 67)( 62,128)( 63, 92)( 65, 71)( 66,133)( 69, 75)( 70,130)( 73, 96)( 74,126)( 78,112)
        ( 79,108)( 81, 87)( 82,146)( 83,120)( 86, 91)( 89, 95)( 90,147)( 93,124)( 94,150)( 98,103)( 99,134)(101,107)
        (102,155)(105,111)(106,157)(109,138)(110,145)(113,119)(114,140)(115,139)(118,123)(121,142)(122,141)(125,131)
        (127,137)(129,132)(135,154)(136,151)(143,149)(144,158)(148,153)(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, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51,116)( 52, 77)( 54, 59)
        ( 57, 80)( 58,117)( 61, 67)( 62,128)( 63, 92)( 65, 71)( 66,133)( 69, 75)( 70,130)( 73, 96)( 74,126)( 78,112)
        ( 79,108)( 81, 87)( 82,146)( 83,120)( 85, 91)( 86,150)( 90, 95)( 93,124)( 94,151)( 98,103)( 99,134)(101,107)
        (102,155)(105,111)(106,158)(109,138)(110,145)(113,119)(114,140)(115,139)(118,123)(121,142)(122,141)(125,131)
        (127,137)(129,132)(135,154)(136,152)(143,149)(144,159)(147,153)(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, 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)( 62,131)( 63, 95)( 65, 71)( 66,135)( 69, 75)( 70,140)( 73, 99)( 74,137)( 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)(102,133)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,125)(117,144)(122,126)(124,141)
        (128,134)(129,158)(130,157)(132,138)(136,139)(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, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,118)( 52, 77)( 54, 59)
        ( 55,122)( 58, 80)( 61, 67)( 62,130)( 63, 93)( 65, 71)( 66,134)( 69, 75)( 70,135)( 73, 96)( 74,138)( 78,116)
        ( 79,112)( 81, 87)( 82,149)( 83,123)( 85, 91)( 86,153)( 89, 95)( 90,157)( 94,126)( 97,103)( 98,128)( 99,142)
        (101,107)(102,159)(105,111)(106,155)(109,115)(110,151)(113,120)(114,148)(117,121)(119,125)(124,146)(127,133)
        (129,158)(131,137)(132,143)(136,141)(139,145)(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, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,119)( 58, 80)( 59,123)( 62, 67)( 63, 92)( 65, 71)( 66,132)( 69, 75)( 70,135)( 73, 96)( 74,139)( 78,111)
        ( 79,108)( 82, 87)( 83,127)( 85, 91)( 86,152)( 89, 95)( 90,129)( 93,131)( 94,125)( 97,102)( 98,143)(100,106)
        (101,154)(104,110)(105,157)(109,147)(112,118)(113,141)(114,148)(116,122)(117,137)(120,126)(121,134)(124,130)
        (128,151)(133,138)(136,142)(140,146)(144,153)(145,149)(150,158)(155,160)(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, 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)( 51,120)( 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)(119,130)(121,127)(122,126)(125,131)(133,138)(136,142)
        (137,152)(140,146)(141,155)(144,150)(145,156)(148,154)(149,160)(153,158)(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, 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)
        ( 55,125)( 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)(118,124)(119,123)(120,130)(122,127)(126,131)(133,138)(136,142)
        (137,152)(140,146)(141,155)(144,150)(145,160)(148,154)(149,157)(153,158)(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, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 86)( 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)
        ( 55,125)( 58, 81)( 59,129)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,133)( 70, 76)( 71,137)( 74, 97)( 75,141)
        ( 79,117)( 80,113)( 82, 88)( 83,145)( 84,115)( 87, 92)( 90, 96)( 91,146)( 94,103)( 95,149)( 98,104)(100,136)
        (102,108)(106,112)(107,150)(110,116)(111,148)(114,130)(118,124)(119,154)(120,131)(122,128)(123,160)(126,132)
        (127,157)(134,140)(135,142)(138,144)(139,153)(143,152)(147,151)(155,159)(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, 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)
        ( 55,125)( 58, 81)( 59,129)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,133)( 70, 76)( 71,137)( 74, 97)( 75,141)
        ( 79,117)( 80,113)( 82, 88)( 83,145)( 84,115)( 86, 92)( 87,148)( 91, 96)( 94,103)( 95,149)( 98,104)(100,136)
        (102,108)(106,112)(107,150)(110,116)(111,147)(114,130)(118,124)(119,154)(120,131)(122,128)(123,160)(126,132)
        (127,157)(134,140)(135,142)(138,144)(139,153)(143,152)(146,151)(155,159)(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, 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)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,136)( 64, 93)( 66, 72)( 67,140)( 70, 76)( 71,144)( 74, 97)( 75,148)
        ( 79,117)( 80,113)( 82, 88)( 83,152)( 84,115)( 86, 92)( 87,156)( 91, 96)( 94,132)( 95,157)( 98,104)( 99,142)
        (100,149)(102,108)(103,138)(106,112)(107,134)(110,116)(111,155)(114,129)(118,123)(119,160)(120,130)(122,127)
        (125,131)(126,159)(133,139)(135,154)(137,143)(141,147)(145,151)(146,150)(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, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 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)( 63,140)( 64, 94)( 66, 72)( 67,144)( 70, 76)( 71,115)( 74, 97)( 75,111)
        ( 79,117)( 80,113)( 82, 88)( 83,150)( 84,132)( 86, 92)( 87,153)( 90, 96)( 91,157)( 95,136)( 98,104)( 99,103)
        (100,107)(102,108)(106,112)(110,116)(114,145)(118,123)(119,146)(121,127)(122,142)(125,131)(126,138)(129,135)
        (130,159)(133,148)(134,155)(137,143)(139,158)(141,147)(149,152)(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, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,124)( 52, 77)( 54, 60)
        ( 55,127)( 58, 80)( 59,131)( 62, 67)( 63, 96)( 65, 71)( 66,136)( 69, 75)( 70,139)( 73,100)( 74,143)( 78,120)
        ( 79,116)( 81, 87)( 82,114)( 83,118)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93, 99)( 94,102)( 97,135)( 98,148)
        (101,107)(103,147)(105,111)(109,115)(113,119)(117,132)(121,126)(122,156)(123,133)(125,130)(128,134)(129,155)
        (137,142)(138,151)(140,146)(141,159)(144,150)(145,160)(149,154)(152,158)(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, 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)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,136)( 70, 76)( 71,140)( 74,100)( 75,144)
        ( 79,120)( 80,116)( 82, 87)( 83,148)( 84,118)( 86, 91)( 89, 95)( 90,149)( 93, 99)( 94,152)( 97,106)( 98,153)
        (101,107)(103,139)(105,111)(109,115)(110,154)(113,119)(114,151)(117,133)(121,127)(122,156)(123,134)(125,131)
        (126,160)(129,135)(130,158)(137,143)(138,145)(141,147)(142,146)(150,155)(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, 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)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,136)( 70, 76)( 71,140)( 74,100)( 75,144)
        ( 79,120)( 80,116)( 82, 88)( 83,148)( 84,118)( 86, 92)( 87,149)( 90, 95)( 91,152)( 94, 99)( 97,106)( 98,153)
        (101,107)(103,139)(105,111)(109,115)(110,154)(113,119)(114,151)(117,133)(121,127)(122,156)(123,134)(125,131)
        (126,160)(129,135)(130,158)(137,143)(138,145)(141,147)(142,146)(150,155)(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, 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)( 71,140)( 74,101)( 75,141)
        ( 79,121)( 80,117)( 82, 88)( 83,144)( 84,119)( 86, 92)( 87,148)( 90, 96)( 91,149)( 94,100)( 95,152)( 98,107)
        ( 99,155)(102,108)(104,139)(106,112)(110,116)(111,156)(114,120)(115,147)(118,133)(122,127)(123,160)(124,134)
        (126,131)(129,135)(130,159)(137,143)(138,142)(145,151)(146,157)(150,154)(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, 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)( 71,140)( 74,101)( 75,141)
        ( 79,121)( 80,117)( 82, 88)( 83,144)( 84,119)( 86, 92)( 87,148)( 90, 96)( 91,151)( 94,100)( 95,152)( 98,107)
        ( 99,155)(102,108)(104,139)(106,112)(110,116)(111,156)(114,120)(115,147)(118,133)(122,127)(123,160)(124,134)
        (126,131)(129,135)(130,159)(137,143)(138,142)(145,150)(146,157)(149,154)(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, 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)
        ( 55,127)( 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)(122,133)(124,130)(125,129)(128,134)(137,142)
        (138,152)(140,146)(141,156)(144,150)(145,157)(148,154)(149,160)(153,155)(158,159),
      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, 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)( 59,131)( 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)(121,127)(122,126)(123,133)(125,130)(129,134)(137,142)
        (138,152)(140,146)(141,156)(144,150)(145,160)(148,154)(149,158)(153,155)(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, 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)
        ( 55,129)( 58, 81)( 59,133)( 62, 68)( 63,123)( 64, 97)( 66, 72)( 67,141)( 70, 76)( 71,119)( 74,101)( 75,115)
        ( 79,121)( 80,117)( 82, 88)( 83,146)( 84,137)( 86, 92)( 87,149)( 90, 96)( 91,153)( 94,100)( 95,157)( 98,127)
        ( 99,158)(102,108)(103,107)(104,111)(106,112)(110,116)(114,120)(118,142)(122,128)(124,143)(126,132)(130,136)
        (131,159)(134,140)(135,155)(138,144)(139,151)(145,148)(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, 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)( 51,123)( 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)( 75,148)
        ( 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)(103,152)(105,111)(106,141)(109,115)(110,137)(113,119)(114,156)(117,132)(121,126)(122,133)
        (124,130)(125,129)(128,134)(136,142)(138,155)(140,146)(144,150)(149,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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)( 51,123)( 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)( 75,148)
        ( 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)(103,152)(105,111)(106,141)(109,115)(110,137)(113,119)(114,156)(117,132)(121,126)(122,133)
        (124,130)(125,129)(128,134)(136,142)(138,155)(140,146)(144,150)(149,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,137)( 74,101)( 75,141)
        ( 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)(104,139)(106,112)(110,116)(111,158)(114,120)(115,145)(118,133)(122,127)(123,134)(125,131)
        (126,130)(129,135)(138,140)(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)
        ( 55,128)( 58, 81)( 59,131)( 62, 68)( 63,139)( 64, 96)( 66, 72)( 67,143)( 70, 76)( 71,147)( 74,100)( 75,152)
        ( 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)(103,149)(105,111)(106,141)(109,115)(110,137)(113,119)(114,156)(117,132)(121,127)(122,126)
        (123,133)(125,130)(129,134)(136,142)(138,155)(140,146)(144,150)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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)
        ( 55,128)( 58, 81)( 59,131)( 62, 68)( 63,139)( 64, 96)( 66, 72)( 67,143)( 70, 76)( 71,147)( 74,100)( 75,152)
        ( 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)(103,149)(105,111)(106,141)(109,115)(110,137)(113,119)(114,156)(117,132)(121,127)(122,126)
        (123,133)(125,130)(129,134)(136,142)(138,155)(140,146)(144,150)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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)
        ( 55,129)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,141)( 74,101)( 75,138)
        ( 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)(104,139)(106,112)(110,116)(111,158)(114,120)(115,145)(118,133)(122,128)(123,127)(124,134)
        (126,131)(130,135)(137,140)(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, 86)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,122)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,130)( 64, 93)( 66, 72)( 67,134)( 70, 76)( 71,138)( 74, 97)( 75,142)
        ( 79,117)( 80,113)( 82, 88)( 83,150)( 84,115)( 87, 92)( 90, 96)( 91,151)( 94,126)( 95,154)( 98,104)( 99,128)
        (100,146)(102,108)(103,159)(106,112)(107,156)(110,116)(111,153)(114,124)(118,121)(120,125)(127,133)(129,158)
        (131,137)(132,147)(135,141)(136,148)(139,145)(140,144)(143,149)(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, 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)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,122)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,130)( 64, 94)( 66, 72)( 67,134)( 70, 76)( 71,138)( 74, 97)( 75,142)
        ( 79,117)( 80,113)( 82, 88)( 83,150)( 84,115)( 86, 92)( 87,153)( 90, 96)( 91,157)( 95,126)( 98,104)( 99,128)
        (100,146)(102,108)(103,159)(106,112)(107,155)(110,116)(111,152)(114,124)(118,121)(120,125)(127,133)(129,158)
        (131,137)(132,147)(135,141)(136,148)(139,145)(140,144)(143,149)(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, 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)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,125)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 67)( 63, 96)( 65, 71)( 66, 97)( 69, 75)( 70,134)( 73,100)( 74,138)( 78,120)
        ( 79,116)( 81, 87)( 82,145)( 83,130)( 85, 91)( 86,149)( 89, 95)( 90,153)( 93, 99)( 94,157)( 98,137)(101,107)
        (102,159)(103,139)(105,111)(106,155)(109,115)(110,151)(113,119)(114,147)(117,128)(118,144)(121,124)(123,129)
        (127,133)(131,142)(132,141)(135,140)(136,158)(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, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,125)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,138)( 64, 96)( 66, 71)( 67,141)( 70, 75)( 73,100)( 74,142)( 78,120)
        ( 79,116)( 81, 87)( 82,131)( 83,130)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,134)( 98,157)
        (101,107)(102,136)(103,143)(105,111)(106,159)(109,115)(110,155)(113,119)(114,151)(117,128)(118,148)(121,124)
        (123,129)(127,133)(132,145)(135,140)(137,158)(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, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,125)( 52, 77)( 54, 60)
        ( 55,122)( 58, 80)( 59,126)( 62, 68)( 63,138)( 64, 96)( 66, 71)( 67,142)( 70, 75)( 73,100)( 74,143)( 78,120)
        ( 79,116)( 81, 87)( 82,131)( 83,130)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,134)( 98,157)
        (101,107)(102,136)(103,140)(105,111)(106,159)(109,115)(110,155)(113,119)(114,151)(117,128)(118,148)(121,124)
        (123,129)(127,133)(132,145)(135,141)(137,158)(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, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47, 83)( 50, 55)( 51, 78)( 52, 77)( 54, 59)
        ( 57, 80)( 58, 79)( 61, 67)( 62,115)( 63, 95)( 65, 71)( 66,119)( 69, 75)( 70,123)( 73, 99)( 74,127)( 81, 86)
        ( 82,108)( 85, 90)( 88, 94)( 89,109)( 92, 98)( 93,105)( 96,111)( 97,101)(100,106)(102,131)(104,110)(112,118)
        (113,139)(114,132)(116,122)(117,143)(120,126)(121,147)(124,130)(125,151)(128,134)(129,138)(133,135)(136,142)
        (137,152)(140,146)(141,155)(144,150)(145,160)(148,154)(149,157)(153,158)(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, 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, 78)( 52, 77)( 54, 59)
        ( 55,117)( 58, 80)( 61, 67)( 62,124)( 63, 96)( 65, 71)( 66,128)( 69, 75)( 70,133)( 73,100)( 74,130)( 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)(103,126)(105,111)(106,151)(109,115)(110,154)(113,119)(114,137)(121,127)(123,150)(125,131)(129,132)
        (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, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43, 97)( 46, 76)( 47,101)( 50, 56)( 51,113)( 52, 77)( 54, 59)
        ( 55,117)( 58, 80)( 61, 67)( 62,125)( 63, 92)( 65, 71)( 66,126)( 69, 75)( 70,129)( 73, 95)( 74,133)( 78,109)
        ( 79,105)( 81, 87)( 82,145)( 83,118)( 86, 91)( 89, 94)( 90,146)( 93,121)( 96, 99)( 98,104)(102,108)(103,134)
        (106,137)(107,149)(110,116)(111,139)(112,138)(114,120)(115,154)(119,141)(122,128)(123,157)(124,147)(127,132)
        (130,136)(131,158)(135,152)(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, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43, 97)( 46, 76)( 47,101)( 50, 56)( 51,113)( 52, 77)( 54, 59)
        ( 55,117)( 58, 80)( 61, 67)( 62,125)( 63, 92)( 65, 71)( 66,126)( 69, 75)( 70,129)( 73, 95)( 74,133)( 78,109)
        ( 79,105)( 81, 86)( 82,145)( 83,118)( 85, 90)( 88, 94)( 89,146)( 93,121)( 96, 99)( 98,104)(102,108)(103,134)
        (106,137)(107,149)(110,116)(111,139)(112,138)(114,120)(115,154)(119,141)(122,128)(123,157)(124,147)(127,132)
        (130,136)(131,158)(135,152)(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, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,118)( 58, 80)( 59,122)( 62, 68)( 63,111)( 64, 96)( 66, 72)( 67,112)( 70, 75)( 71,108)( 74,100)( 78, 97)
        ( 79,110)( 81, 87)( 82,134)( 83,126)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,146)( 98,117)(101,104)
        (103,109)(107,113)(115,121)(116,147)(119,125)(120,150)(123,129)(124,153)(127,130)(128,157)(131,137)(132,136)
        (133,158)(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, 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)( 39,106)( 40, 73)( 42, 48)( 43,103)( 46, 77)( 47,107)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,121)( 64, 97)( 66, 72)( 67,117)( 70, 76)( 71,113)( 74,101)( 75,131)
        ( 79,111)( 80,108)( 82, 88)( 83,138)( 84,127)( 86, 92)( 87,142)( 90, 96)( 91,146)( 94,100)( 95,149)( 98,125)
        ( 99,153)(102,105)(104,110)(109,132)(112,118)(114,133)(116,122)(120,126)(124,130)(128,134)(129,154)(135,141)
        (136,140)(137,157)(139,145)(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, 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)( 39,106)( 40, 73)( 42, 48)( 43,103)( 46, 77)( 47,107)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,124)( 62, 68)( 63,135)( 64, 97)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74,101)( 75,146)
        ( 79,115)( 80,111)( 82, 88)( 83, 95)( 84,127)( 86, 92)( 87, 91)( 90, 96)( 94,100)( 98,131)( 99,128)(102,105)
        (104,110)(108,114)(109,147)(112,150)(113,157)(116,122)(117,133)(118,151)(120,126)(121,155)(125,130)(129,156)
        (132,138)(134,154)(136,142)(137,152)(140,145)(141,159)(144,149)(148,160)(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,  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, 71)( 42, 47)( 43,107)( 46, 75)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,119)
        ( 57, 79)( 58,123)( 61, 67)( 62,105)( 63, 95)( 65, 70)( 66,102)( 69, 74)( 72,100)( 73, 99)( 77,111)( 78,108)
        ( 80, 86)( 81,132)( 82,127)( 84, 90)( 85,135)( 88, 94)( 89,139)( 92, 98)( 93,143)( 96,109)( 97,114)(101,106)
        (104,110)(112,118)(113,144)(116,122)(117,147)(120,126)(121,151)(124,130)(125,155)(128,131)(129,160)(133,138)
        (134,157)(136,142)(137,153)(140,146)(141,149)(145,150)(148,154)(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, 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)( 43,106)( 46, 77)( 47,109)( 50, 56)( 51,117)( 52, 78)( 54, 60)
        ( 55,121)( 58, 81)( 59,125)( 62, 68)( 63,119)( 64, 97)( 66, 72)( 67,115)( 70, 76)( 71,133)( 74,102)( 75,101)
        ( 79,113)( 80,110)( 82, 88)( 83,139)( 84,129)( 86, 92)( 87,143)( 90, 96)( 91,146)( 94,100)( 95,150)( 98,123)
        ( 99,153)(103,108)(104,134)(107,112)(111,135)(114,120)(116,136)(118,124)(122,128)(126,132)(127,154)(130,137)
        (131,157)(138,142)(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, 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, 74)( 40, 73)( 42, 48)( 43, 75)( 46, 77)( 47, 71)( 50, 56)( 51, 98)( 52, 78)( 54, 60)
        ( 55,101)( 58, 81)( 59,105)( 62, 68)( 63, 79)( 64, 97)( 66, 72)( 67, 80)( 70, 76)( 82, 88)( 83,117)( 84,109)
        ( 86, 92)( 87,121)( 90, 96)( 91,125)( 94,100)( 95,129)( 99,104)(102,108)(103,130)(106,112)(107,133)(110,113)
        (111,137)(114,120)(115,147)(116,141)(118,124)(119,150)(122,128)(123,154)(126,132)(127,158)(131,136)(134,140)
        (135,159)(138,144)(139,156)(142,145)(143,152)(146,149)(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, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39, 74)( 40, 73)( 42, 48)( 43,102)( 46, 77)( 47,105)( 50, 56)( 51,117)( 52, 78)( 54, 60)
        ( 55,121)( 58, 81)( 59,125)( 62, 68)( 63,133)( 64, 97)( 66, 72)( 67,137)( 70, 76)( 71,141)( 75,101)( 79,113)
        ( 80,109)( 82, 88)( 83,148)( 84,126)( 86, 92)( 87,153)( 90, 96)( 91,150)( 94,100)( 95,146)( 98,129)( 99,154)
        (103,108)(104,142)(106,112)(107,139)(110,116)(111,135)(114,120)(115,131)(118,124)(119,159)(122,128)(123,156)
        (127,144)(130,136)(132,158)(134,140)(138,143)(145,151)(147,157)(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, 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)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,134)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,112)( 79,108)
        ( 81, 87)( 82,139)( 83,129)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93, 99)( 94,146)( 97,130)( 98,150)(101,107)
        (102,135)(106,111)(109,132)(110,136)(113,119)(114,151)(115,133)(117,123)(118,154)(121,127)(122,157)(125,128)
        (126,138)(131,137)(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, 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, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 47)( 43,103)( 46, 76)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 92)( 65, 71)( 66, 99)( 69, 75)( 70, 74)( 73, 96)( 78,107)( 79,104)
        ( 82, 87)( 83,123)( 85, 91)( 86,132)( 89, 95)( 90,135)( 93,109)( 94,139)( 97,102)( 98,128)(101,106)(105,129)
        (108,114)(110,130)(112,118)(113,140)(116,122)(117,143)(120,126)(121,147)(124,131)(125,151)(133,138)(134,152)
        (136,142)(137,156)(141,146)(144,150)(145,157)(148,154)(149,160)(153,155)(158,159),
      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, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 76)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,105)( 63, 96)( 65, 71)( 66,102)( 69, 75)( 70, 74)( 73,100)( 78,111)( 79,108)
        ( 81, 87)( 82,135)( 83,127)( 85, 91)( 86,139)( 89, 95)( 90,140)( 93, 99)( 94,143)( 97,109)( 98,114)(101,106)
        (104,110)(112,118)(113,144)(116,122)(117,147)(120,126)(121,151)(124,130)(125,155)(128,131)(129,156)(132,138)
        (133,153)(134,160)(136,142)(137,149)(141,146)(145,150)(148,154)(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, 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)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 76)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,105)( 63, 96)( 65, 71)( 66,102)( 69, 75)( 70, 74)( 73,100)( 78,111)( 79,108)
        ( 81, 87)( 82,133)( 83,127)( 85, 91)( 86,137)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,109)( 98,114)(101,106)
        (104,110)(112,118)(113,146)(116,122)(117,149)(120,126)(121,153)(124,130)(125,157)(128,131)(129,158)(132,136)
        (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, 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)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 76)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,105)( 63, 96)( 65, 71)( 66,102)( 69, 75)( 70, 74)( 73,100)( 78,111)( 79,108)
        ( 81, 87)( 82,135)( 83,127)( 85, 91)( 86,139)( 89, 95)( 90,140)( 93, 99)( 94,143)( 97,109)( 98,114)(101,106)
        (104,110)(112,118)(113,144)(116,122)(117,147)(120,126)(121,151)(124,130)(125,155)(128,131)(129,160)(132,138)
        (133,153)(134,157)(136,142)(137,149)(141,146)(145,150)(148,154)(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, 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)( 58,123)( 61, 67)( 62,101)( 63, 95)( 65, 71)( 66,102)( 69, 75)( 70, 74)( 73, 99)( 78,111)( 79,108)
        ( 81, 86)( 82,127)( 84, 90)( 85,136)( 88, 94)( 89,139)( 92, 98)( 93,143)( 96,105)( 97,134)(100,106)(104,110)
        (109,131)(112,118)(113,147)(114,132)(116,122)(117,148)(120,126)(121,151)(124,130)(125,155)(128,135)(129,160)
        (133,144)(137,142)(138,157)(140,146)(141,153)(145,150)(149,154)(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, 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)( 47,111)( 50, 55)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,123)( 61, 67)( 62,131)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,119)( 79,115)
        ( 81, 87)( 82,143)( 83,124)( 85, 91)( 86,147)( 89, 95)( 90,152)( 93, 99)( 94,149)( 97,127)( 98,145)(101,107)
        (102,132)(105,110)(106,153)(109,114)(112,118)(113,154)(116,135)(117,157)(121,126)(122,136)(125,139)(128,134)
        (129,159)(130,141)(133,156)(137,142)(138,158)(140,146)(144,150)(148,151)(155,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,118)( 52, 77)( 54, 59)
        ( 55,122)( 58, 80)( 61, 67)( 62,130)( 63, 92)( 65, 71)( 66, 99)( 69, 75)( 70, 74)( 73, 96)( 78,116)( 79,112)
        ( 81, 87)( 82,138)( 83,123)( 86, 91)( 89, 95)( 90,139)( 93,126)( 94,142)( 97,103)( 98,131)(101,107)(102,149)
        (105,111)(106,153)(109,115)(110,157)(113,120)(114,137)(117,121)(119,125)(124,134)(127,133)(128,151)(129,146)
        (132,152)(135,141)(136,158)(140,145)(143,148)(144,159)(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, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,118)( 52, 77)( 54, 59)
        ( 55,122)( 58, 80)( 61, 67)( 62,130)( 63, 93)( 65, 71)( 66, 99)( 69, 75)( 70, 74)( 73, 96)( 78,116)( 79,112)
        ( 81, 87)( 82,138)( 83,123)( 85, 91)( 86,141)( 89, 95)( 90,145)( 94,126)( 97,103)( 98,131)(101,107)(102,149)
        (105,111)(106,153)(109,115)(110,157)(113,120)(114,137)(117,121)(119,125)(124,134)(127,133)(128,151)(129,146)
        (132,152)(135,140)(136,158)(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, 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)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 92)( 66, 72)( 67, 99)( 70, 76)( 71, 75)( 74, 96)( 79,115)
        ( 80,111)( 83, 87)( 85, 91)( 86,128)( 89, 95)( 90,143)( 93,131)( 94,147)( 97,103)( 98,136)(101,107)(102,142)
        (105,110)(106,113)(109,114)(112,139)(116,122)(117,133)(118,140)(120,126)(121,152)(124,130)(125,155)(129,146)
        (132,138)(134,151)(137,141)(144,150)(145,156)(148,154)(149,160)(153,158)(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, 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)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,127)( 62, 68)( 63,139)( 64, 93)( 66, 72)( 67, 99)( 70, 76)( 71, 75)( 74, 96)( 79,116)
        ( 80,112)( 83, 88)( 84,131)( 86, 92)( 87,148)( 90, 95)( 91,151)( 94,135)( 97,103)( 98,140)(101,107)(102,141)
        (105,111)(106,137)(109,115)(110,153)(113,143)(114,150)(117,123)(118,160)(119,144)(121,126)(122,157)(125,130)
        (128,134)(129,158)(132,147)(133,146)(136,142)(138,152)(145,155)(149,154)(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, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,109)( 46, 77)( 47,112)( 50, 56)( 51,123)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 97)( 66, 72)( 67,104)( 70, 76)( 71, 75)( 74,101)( 79,119)
        ( 80,116)( 82, 88)( 83,147)( 84,128)( 86, 92)( 87,151)( 90, 96)( 91,156)( 94,100)( 95,153)( 98,131)( 99,149)
        (102,108)(103,136)(106,111)(107,157)(110,115)(113,118)(114,158)(117,139)(120,126)(121,146)(122,140)(125,130)
        (129,143)(132,138)(133,141)(134,145)(137,160)(142,159)(144,150)(148,154)(152,155),
      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, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,122)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,126)( 62, 68)( 63,134)( 64, 95)( 66, 72)( 67,102)( 70, 76)( 71, 75)( 74, 99)( 79,118)
        ( 80,115)( 82, 86)( 84, 90)( 85,127)( 88, 94)( 89,142)( 92, 98)( 93,145)( 96,130)( 97,149)(100,106)(101,135)
        (104,110)(105,132)(108,114)(109,154)(112,117)(113,157)(116,137)(119,125)(120,144)(121,138)(124,129)(128,141)
        (131,136)(133,153)(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, 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)( 43,105)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62, 74)( 63, 96)( 65, 71)( 66, 70)( 69, 75)( 73,100)( 78,116)( 79,112)( 81, 87)
        ( 82,136)( 83,124)( 85, 91)( 86,140)( 89, 95)( 90,144)( 93, 99)( 94,147)( 97,103)( 98,151)(101,107)(102,155)
        (106,111)(109,115)(110,156)(113,128)(114,135)(118,123)(119,129)(121,127)(122,160)(125,132)(126,131)(130,159)
        (133,139)(134,157)(137,143)(138,153)(141,146)(142,149)(145,150)(148,154)(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, 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)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,123)( 61, 67)( 62, 74)( 63, 96)( 65, 71)( 66, 70)( 69, 75)( 73,100)( 78,119)( 79,115)( 81, 87)
        ( 82,134)( 83,128)( 85, 91)( 86,137)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,103)( 98,146)(101,106)(102,149)
        (105,110)(108,114)(109,150)(112,118)(113,153)(116,129)(117,157)(121,126)(122,130)(124,127)(125,133)(131,136)
        (132,158)(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, 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)( 43,106)( 46, 77)( 47,110)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,129)( 62, 68)( 63, 67)( 64, 95)( 66, 72)( 70, 76)( 71, 96)( 74, 99)( 75,133)( 79,118)
        ( 80,114)( 82, 86)( 84, 90)( 85,130)( 88, 94)( 89,146)( 92, 98)( 93,149)( 97,136)(100,105)(101,108)(102,137)
        (104,109)(107,113)(111,117)(112,138)(115,141)(116,153)(119,124)(120,142)(122,128)(123,143)(126,132)(127,158)
        (131,145)(134,140)(135,150)(139,156)(144,157)(147,152)(148,159)(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, 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, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,126)( 58, 81)( 59, 80)( 62, 68)( 63,134)( 64, 96)( 66, 71)( 67,138)( 70, 75)( 73,100)( 74,139)( 78,120)
        ( 79,116)( 82, 87)( 83,127)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 99)( 94,153)( 97,130)( 98,157)(101,107)
        (102,132)(103,142)(105,111)(106,159)(109,115)(110,155)(113,119)(114,151)(117,124)(118,148)(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, 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)( 51,123)( 52, 78)( 54, 60)
        ( 55,127)( 58, 82)( 59, 81)( 62, 68)( 63,134)( 64, 97)( 66, 72)( 67,138)( 70, 76)( 71,139)( 74,101)( 75,140)
        ( 79,121)( 80,117)( 83, 88)( 84,128)( 86, 92)( 87,143)( 90, 96)( 91,146)( 94,100)( 95,150)( 98,131)( 99,154)
        (102,108)(103,159)(104,136)(106,112)(107,156)(110,116)(111,152)(114,120)(115,148)(118,125)(119,145)(122,126)
        (124,130)(129,142)(132,137)(133,158)(135,141)(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, 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)( 51,122)( 52, 78)( 54, 60)
        ( 55,125)( 58, 82)( 59, 81)( 62, 68)( 63,132)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,141)( 74,101)( 75,138)
        ( 79,121)( 80,117)( 83, 88)( 84,126)( 86, 92)( 87,143)( 90, 96)( 91,146)( 94,100)( 95,150)( 98,129)( 99,154)
        (102,108)(103,159)(104,134)(106,112)(107,156)(110,116)(111,152)(114,120)(115,148)(118,124)(119,145)(123,128)
        (127,142)(130,135)(131,158)(133,139)(137,140)(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, 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)( 39,104)( 40, 72)( 42, 48)( 43,101)( 46, 76)( 47,105)( 50, 56)( 51,117)( 52, 77)( 54, 60)
        ( 55,121)( 58, 81)( 59, 80)( 62, 67)( 63,129)( 64, 95)( 66, 71)( 69, 75)( 70,130)( 73, 99)( 74,133)( 78,113)
        ( 79,109)( 82, 87)( 83,122)( 85, 91)( 86,142)( 89, 94)( 90,145)( 93, 98)( 96,125)( 97,146)(100,103)(102,108)
        (106,112)(107,134)(110,137)(111,153)(114,120)(115,157)(116,138)(118,124)(119,158)(123,141)(126,132)(127,155)
        (128,149)(131,136)(135,156)(139,150)(140,154)(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, 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, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,105)( 50, 56)( 51,114)( 52, 78)( 54, 60)
        ( 55,117)( 59, 81)( 62, 68)( 63,125)( 64, 89)( 66, 72)( 67,129)( 70, 76)( 71,132)( 74, 93)( 75,135)( 79,113)
        ( 80,109)( 83, 88)( 84,118)( 86, 92)( 87,144)( 90,121)( 91,147)( 94,100)( 95,160)( 96,139)( 98,104)( 99,157)
        (102,108)(103,153)(106,112)(107,149)(110,116)(111,146)(115,120)(119,143)(122,128)(123,141)(124,151)(126,131)
        (127,137)(130,134)(133,138)(136,142)(140,155)(145,150)(148,154)(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, 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, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,105)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 59, 81)( 62, 68)( 63,127)( 64, 89)( 66, 72)( 67,131)( 70, 76)( 71,132)( 74, 93)( 75,135)( 79,113)
        ( 80,109)( 83, 88)( 84,120)( 86, 92)( 87,140)( 90,123)( 91,143)( 94,100)( 95,154)( 96,136)( 98,104)( 99,158)
        (102,108)(103,149)(106,112)(107,145)(110,117)(111,142)(114,118)(116,122)(121,139)(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, 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, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,105)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 59, 81)( 62, 68)( 63,127)( 64, 89)( 66, 72)( 67,131)( 70, 76)( 71,132)( 74, 93)( 75,135)( 79,113)
        ( 80,109)( 83, 88)( 84,120)( 86, 92)( 87,143)( 90,123)( 91,146)( 94,100)( 95,155)( 96,138)( 98,104)( 99,158)
        (102,108)(103,152)(106,112)(107,148)(110,117)(111,145)(114,118)(116,122)(121,142)(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, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,105)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 59, 81)( 62, 68)( 63,127)( 64, 89)( 66, 72)( 67,131)( 70, 76)( 71,134)( 74, 93)( 75,137)( 79,113)
        ( 80,109)( 83, 88)( 84,120)( 86, 92)( 87,146)( 90,123)( 91,149)( 94,100)( 95,158)( 96,141)( 98,104)( 99,159)
        (102,108)(103,155)(106,112)(107,151)(110,117)(111,148)(114,118)(116,122)(121,145)(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,  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, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,100)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 59, 81)( 62, 68)( 63,128)( 64, 89)( 66, 72)( 67,133)( 70, 76)( 71,130)( 74, 93)( 75,126)( 79,112)
        ( 80,108)( 83, 88)( 84,121)( 86, 92)( 87,139)( 90,124)( 91,142)( 94, 99)( 95,150)( 96,134)( 98,103)(101,107)
        (102,151)(105,111)(106,148)(109,115)(110,153)(113,119)(114,157)(117,123)(118,158)(122,138)(125,131)(127,137)
        (129,132)(135,146)(136,143)(140,145)(141,159)(144,155)(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, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47, 83)( 50, 56)( 51, 55)( 52, 78)( 54, 60)
        ( 58, 80)( 59, 79)( 62, 68)( 63,115)( 64, 95)( 66, 72)( 67,119)( 70, 76)( 71,123)( 74, 99)( 75,127)( 81, 86)
        ( 82,108)( 85, 90)( 88, 94)( 89,109)( 92, 98)( 93,105)( 96,111)( 97,101)(100,106)(102,131)(104,110)(112,118)
        (113,139)(114,132)(116,122)(117,143)(120,126)(121,147)(124,130)(125,151)(128,134)(129,138)(133,135)(136,142)
        (137,152)(140,146)(141,155)(144,150)(145,156)(148,154)(149,160)(153,158)(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, 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, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,124)( 64, 97)( 66, 72)( 67,125)( 70, 76)( 71,128)( 74,101)( 75,133)( 80,117)
        ( 82, 88)( 83,134)( 84,118)( 86, 92)( 87,138)( 90, 96)( 91,142)( 94,100)( 95,143)( 98,120)( 99,146)(102,108)
        (103,122)(104,130)(106,112)(107,151)(110,116)(111,154)(114,119)(115,137)(121,127)(123,150)(126,131)(129,132)
        (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, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 56)( 28, 55)( 30, 36)( 31, 76)( 34, 59)
        ( 35, 79)( 38, 44)( 39, 85)( 40, 71)( 42, 48)( 43, 81)( 46, 53)( 47, 78)( 50, 54)( 52, 58)( 57, 75)( 60, 66)
        ( 61, 91)( 62, 83)( 64, 70)( 65, 95)( 68, 74)( 69, 99)( 72, 87)( 73,103)( 77, 82)( 80, 86)( 84, 88)( 89, 94)
        ( 90,107)( 92, 98)( 93,112)( 96,102)( 97,115)(100,106)(101,119)(104,110)(105,123)(108,111)(109,127)(113,118)
        (114,131)(116,122)(117,136)(120,126)(121,139)(124,130)(125,143)(128,134)(129,147)(132,135)(133,150)(137,142)
        (138,154)(140,146)(141,155)(144,149)(145,158)(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, 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, 78)( 40, 71)( 42, 48)( 43, 47)( 46, 75)( 50, 56)( 51,103)( 52, 76)( 54, 60)( 55,107)
        ( 58, 79)( 59,111)( 62, 67)( 63, 73)( 64, 95)( 66, 70)( 69, 74)( 72, 99)( 77,100)( 80, 86)( 81,123)( 82,115)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(101,106)(104,110)(105,140)(108,114)
        (109,143)(112,118)(113,147)(116,119)(117,148)(120,126)(121,151)(122,149)(124,130)(125,155)(128,134)(129,160)
        (132,138)(133,157)(136,142)(137,153)(141,146)(144,150)(145,154)(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, 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, 78)( 40, 71)( 42, 48)( 43, 47)( 46, 75)( 50, 56)( 51,103)( 52, 76)( 54, 60)( 55,107)
        ( 58, 79)( 59,111)( 62, 67)( 63, 73)( 64, 95)( 66, 70)( 69, 74)( 72, 99)( 77,100)( 80, 86)( 81,123)( 82,115)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(101,106)(104,110)(105,140)(108,114)
        (109,143)(112,118)(113,147)(116,119)(117,152)(120,126)(121,153)(122,149)(124,130)(125,157)(128,134)(129,158)
        (132,138)(133,159)(136,142)(137,155)(141,146)(144,150)(145,156)(148,151)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156)(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, 43)( 40, 69)( 42, 48)( 46, 52)( 47, 70)( 50, 56)( 51, 93)( 54, 60)( 55, 97)( 58, 73)
        ( 59,101)( 62, 68)( 63, 95)( 64, 89)( 67, 72)( 71, 96)( 74, 80)( 75,112)( 76,105)( 78, 84)( 79,116)( 82, 88)
        ( 83,120)( 86, 92)( 87,124)( 90, 99)( 91,128)( 94,100)( 98,104)(102,108)(103,129)(106,109)(107,132)(110,115)
        (111,136)(113,119)(114,141)(117,123)(118,144)(121,127)(122,148)(125,131)(126,151)(130,135)(133,139)(134,152)
        (137,140)(138,155)(142,147)(143,160)(145,150)(146,157)(149,154)(153,158)(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, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 43)( 40, 66)( 42, 48)( 46, 69)( 47, 67)( 50, 56)( 51, 89)( 52, 70)( 54, 60)( 55, 93)
        ( 58, 73)( 59, 97)( 63, 68)( 64, 72)( 71, 86)( 74, 80)( 75,109)( 76,101)( 78, 84)( 79,113)( 82, 88)( 83,117)
        ( 87, 92)( 90, 96)( 91,118)( 94,100)( 95,121)( 98,104)( 99,125)(102,105)(103,129)(106,112)(107,139)(108,132)
        (110,116)(111,143)(114,120)(115,147)(119,124)(122,128)(123,148)(126,131)(127,151)(130,135)(133,136)(134,152)
        (137,142)(138,155)(140,146)(141,160)(144,150)(145,157)(149,154)(153,158)(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, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 43)( 40, 69)( 42, 48)( 46, 73)( 47, 70)( 50, 56)( 51,100)( 52, 74)( 54, 60)( 55,104)
        ( 58, 77)( 59,108)( 62, 68)( 63, 98)( 64, 93)( 67, 72)( 71, 99)( 75, 94)( 76, 97)( 78, 84)( 79,117)( 80,112)
        ( 82, 88)( 83,120)( 86, 92)( 87,124)( 90, 96)( 91,128)( 95,103)(101,107)(102,129)(105,111)(106,132)(109,115)
        (110,136)(113,116)(114,140)(118,123)(119,144)(121,127)(122,149)(125,131)(126,151)(130,135)(133,139)(134,152)
        (137,143)(138,155)(141,147)(142,160)(145,148)(146,157)(150,154)(153,158)(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, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 43)( 40, 69)( 42, 48)( 46, 73)( 47, 70)( 50, 56)( 51, 94)( 52, 74)( 54, 60)( 55, 97)
        ( 58, 77)( 59,101)( 62, 68)( 63, 75)( 64, 93)( 67, 72)( 71, 76)( 78, 84)( 79,112)( 80,105)( 82, 88)( 83,116)
        ( 86, 92)( 87,120)( 90, 96)( 91,124)( 95,100)( 98,104)( 99,125)(102,108)(103,128)(106,109)(107,132)(110,115)
        (111,136)(113,119)(114,141)(117,123)(118,144)(121,127)(122,148)(126,131)(129,135)(130,149)(133,139)(134,152)
        (137,140)(138,155)(142,147)(143,160)(145,151)(146,157)(150,154)(153,158)(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, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 43)( 40, 70)( 42, 48)( 46, 73)( 47, 71)( 50, 56)( 51, 63)( 52, 74)( 54, 60)( 55, 93)
        ( 58, 76)( 59, 96)( 62, 68)( 64, 92)( 66, 72)( 67, 75)( 77, 83)( 78,108)( 79,100)( 81, 87)( 82,112)( 85, 91)
        ( 86,116)( 89, 95)( 90,120)( 94, 99)( 97,103)( 98,121)(101,104)(102,124)(105,111)(106,135)(107,128)(109,115)
        (110,139)(113,119)(114,143)(117,123)(118,147)(122,127)(125,131)(126,148)(129,132)(130,151)(133,138)(134,155)
        (136,142)(137,160)(140,146)(141,157)(144,150)(145,153)(149,154)(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, 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, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 43)( 40, 72)( 42, 48)( 46, 76)( 47, 73)( 50, 55)( 51,104)( 52, 77)( 54, 59)( 57, 80)
        ( 58,105)( 61, 67)( 62,116)( 63, 92)( 65, 71)( 66,120)( 69, 75)( 70,123)( 74, 99)( 78,100)( 79, 96)( 82, 87)
        ( 83,108)( 85, 91)( 86,132)( 89, 95)( 90,135)( 93,112)( 94,139)( 97,127)( 98,124)(101,107)(102,151)(103,128)
        (106,111)(109,131)(110,152)(113,119)(114,148)(115,143)(117,122)(118,149)(121,126)(125,150)(129,144)(130,147)
        (133,138)(134,155)(136,142)(137,160)(140,146)(141,157)(145,154)(153,158)(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, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 43)( 40, 72)( 42, 48)( 46, 76)( 47, 73)( 50, 56)( 51,104)( 52, 77)( 54, 60)( 55,108)
        ( 58, 80)( 59,112)( 62, 67)( 63,124)( 64, 92)( 66, 71)( 69, 75)( 70,125)( 74, 99)( 78,100)( 79, 96)( 82, 87)
        ( 83,116)( 85, 91)( 86,132)( 89, 95)( 90,135)( 93,120)( 94,139)( 97,128)( 98,126)(101,107)(102,144)(103,129)
        (105,111)(106,147)(109,115)(110,148)(113,119)(114,151)(117,131)(118,155)(121,127)(122,130)(123,143)(133,138)
        (134,160)(136,142)(137,157)(140,146)(141,153)(145,150)(149,154)(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, 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, 88)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51,104)( 52, 78)( 54, 60)( 55,108)
        ( 58, 81)( 59,112)( 62, 68)( 63,124)( 64, 92)( 66, 72)( 67,128)( 70, 76)( 71,132)( 75, 99)( 79,100)( 80, 96)
        ( 83, 87)( 84,116)( 86, 91)( 89, 95)( 90,117)( 93,120)( 94,140)( 97,136)( 98,133)(101,107)(102,145)(103,137)
        (105,111)(106,152)(109,115)(110,153)(113,119)(114,156)(118,143)(121,127)(122,138)(123,144)(125,131)(126,149)
        (129,135)(130,160)(134,151)(139,148)(141,147)(142,157)(146,155)(150,159)(154,158),
      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, 85)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51,105)( 52, 78)( 54, 60)( 55,109)
        ( 58, 81)( 59,113)( 62, 68)( 63,125)( 64, 93)( 66, 72)( 67,126)( 70, 76)( 71,129)( 75,100)( 79,101)( 80, 97)
        ( 82, 88)( 83,141)( 84,117)( 87, 92)( 90, 96)( 91,142)( 94,121)( 95,139)( 98,133)( 99,130)(102,108)(103,151)
        (104,134)(106,112)(107,155)(110,116)(111,160)(114,120)(115,157)(118,137)(119,153)(122,128)(123,149)(124,144)
        (127,132)(131,150)(135,145)(136,148)(138,143)(140,147)(146,154)(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, 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, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51,104)( 52, 78)( 54, 60)( 55,108)
        ( 58, 81)( 59,112)( 62, 68)( 63,110)( 64, 97)( 66, 72)( 67,106)( 70, 76)( 71,103)( 75, 80)( 79,101)( 82, 88)
        ( 83,124)( 84,116)( 86, 92)( 87,128)( 90, 96)( 91,132)( 94,100)( 95,136)( 98,114)( 99,140)(102,107)(105,111)
        (109,115)(113,119)(117,120)(118,141)(121,127)(122,153)(123,144)(125,131)(126,150)(129,135)(130,154)(133,139)
        (134,157)(137,143)(138,158)(142,147)(145,148)(146,159)(149,152)(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, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 74)( 28, 53)( 30, 36)( 31, 78)( 34, 57)
        ( 35, 82)( 38, 44)( 39, 63)( 40, 69)( 43, 59)( 46, 52)( 47, 83)( 48, 60)( 50, 56)( 51, 86)( 54, 70)( 55, 90)
        ( 58, 64)( 62, 67)( 66, 68)( 71, 77)( 72,102)( 73, 94)( 75, 81)( 76,106)( 79, 85)( 80,110)( 84, 89)( 87, 93)
        ( 88,111)( 91, 97)( 92,114)( 95, 98)( 96,118)( 99,105)(100,130)(101,122)(103,109)(104,133)(107,113)(108,137)
        (112,117)(115,121)(116,138)(119,125)(120,141)(123,126)(124,145)(127,132)(128,157)(129,149)(131,136)(134,140)
        (135,158)(139,144)(142,148)(143,159)(146,152)(147,156)(150,154)(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, 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, 72)( 42, 46)( 45, 73)( 48, 54)( 49, 65)( 50, 74)( 52, 58)( 53, 61)( 56, 77)
        ( 57, 94)( 60, 66)( 62, 93)( 64, 70)( 68, 71)( 69, 75)( 78, 84)( 79,105)( 80, 97)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 95,100)( 98,101)( 99,118)(102,108)(103,129)(104,121)(106,112)(107,133)(110,116)
        (111,137)(114,120)(115,141)(119,124)(122,125)(123,142)(126,132)(127,150)(128,145)(130,136)(131,151)(134,140)
        (135,153)(138,144)(139,157)(143,148)(146,149)(147,158)(152,156)(154,160)(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, 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, 73)( 42, 47)( 45, 74)( 46,100)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,118)( 61, 67)( 62,108)( 63, 94)( 65, 71)( 66,104)( 69, 72)( 70, 98)( 76,106)( 77,102)( 79, 85)
        ( 80,130)( 81,122)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91, 97)( 92,142)( 95,112)( 96,146)(101,105)(103,109)
        (107,113)(111,117)(115,121)(116,147)(119,125)(120,150)(123,126)(124,153)(127,133)(128,132)(129,157)(131,137)
        (135,141)(136,158)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 73)( 42, 47)( 43,100)( 46, 74)( 49, 55)( 50, 62)( 51, 75)( 53, 59)( 54, 95)
        ( 57, 78)( 58,102)( 61, 67)( 63, 94)( 65, 71)( 66, 76)( 69, 72)( 70, 98)( 77,101)( 79, 85)( 80,114)( 81,106)
        ( 83, 89)( 84,118)( 87, 93)( 88,122)( 91, 97)( 92,126)( 96,105)(103,109)(104,127)(107,110)(108,130)(111,117)
        (112,141)(113,134)(115,121)(116,142)(119,125)(120,145)(123,129)(124,149)(128,133)(131,137)(132,150)(135,138)
        (136,153)(139,144)(140,157)(143,148)(146,152)(147,158)(151,156)(154,160)(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, 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, 99)( 40, 74)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,114)( 52, 76)( 54, 60)
        ( 55,118)( 58, 78)( 59,121)( 62, 68)( 63,133)( 64, 94)( 66, 72)( 67,134)( 70, 73)( 71, 98)( 77,110)( 79, 85)
        ( 80,126)( 81,125)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91, 97)( 92,145)( 95,129)( 96,146)(100,105)(101,135)
        (103,109)(104,131)(107,113)(108,150)(111,117)(112,153)(115,120)(116,157)(119,124)(122,128)(123,158)(127,137)
        (130,136)(132,149)(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, 53)( 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, 98)( 40, 73)( 42, 48)( 43,101)( 46, 74)( 47,105)( 50, 55)( 51,117)( 52, 75)( 54, 59)
        ( 57, 78)( 58,118)( 61, 67)( 62,129)( 63, 93)( 65, 71)( 66,133)( 69, 72)( 70, 97)( 76,113)( 77,109)( 79, 85)
        ( 80,145)( 81,121)( 83, 88)( 84,149)( 87, 92)( 90, 96)( 91,150)( 94,125)( 95,151)( 99,104)(100,134)(102,108)
        (103,154)(106,112)(107,157)(110,137)(111,144)(114,120)(115,139)(116,138)(119,124)(122,141)(123,140)(126,132)
        (127,159)(128,147)(130,136)(131,156)(135,153)(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, 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, 98)( 40, 73)( 42, 48)( 43,101)( 46, 74)( 47,105)( 50, 55)( 51,117)( 52, 75)( 54, 59)
        ( 57, 78)( 58,118)( 61, 67)( 62,129)( 63, 93)( 65, 71)( 66,133)( 69, 72)( 70, 97)( 76,113)( 77,109)( 79, 85)
        ( 80,145)( 81,121)( 83, 89)( 84,149)( 87, 92)( 88,150)( 91, 96)( 94,125)( 95,151)( 99,104)(100,134)(102,108)
        (103,154)(106,112)(107,157)(110,137)(111,144)(114,120)(115,139)(116,138)(119,124)(122,141)(123,140)(126,132)
        (127,159)(128,147)(130,136)(131,156)(135,153)(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, 88)( 38, 44)( 39, 96)( 40, 74)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 56)( 51,114)( 52, 76)( 54, 60)
        ( 55,118)( 58, 79)( 59,122)( 62, 68)( 63,134)( 64, 91)( 66, 72)( 67,138)( 70, 73)( 71, 95)( 77,110)( 78,107)
        ( 80, 86)( 81,150)( 82,126)( 84, 90)( 85,151)( 89, 94)( 92,130)( 93,152)( 97,102)( 98,139)(100,106)(101,155)
        (104,109)(105,157)(108,142)(111,117)(112,149)(113,143)(115,121)(116,128)(119,125)(120,124)(123,129)(127,146)
        (131,137)(132,144)(133,148)(135,141)(136,159)(140,154)(145,158)(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,  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, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 74)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,122)( 58, 79)( 59,126)( 62, 68)( 63,137)( 64, 94)( 66, 72)( 67,138)( 70, 73)( 71, 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)(115,121)(116,120)(117,142)(119,125)(123,128)(124,143)
        (127,132)(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, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 74)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,122)( 58, 79)( 59,126)( 62, 68)( 63,137)( 64, 94)( 66, 72)( 67,138)( 70, 73)( 71, 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)(115,121)(116,120)(117,142)(119,125)(123,128)(124,143)
        (127,132)(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, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 78)( 40, 74)( 42, 48)( 43, 47)( 46, 75)( 50, 56)( 51, 67)( 52, 76)( 54, 60)( 55, 63)
        ( 58, 79)( 59, 96)( 62, 68)( 64, 95)( 66, 72)( 70, 73)( 71, 77)( 80, 86)( 81,107)( 82, 99)( 84, 90)( 85,111)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 97,102)(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, 29)(  4,  9)(  6, 21)(  7, 39)(  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, 76)( 28, 55)( 30, 36)( 31, 79)( 34, 59)
        ( 35, 83)( 38, 42)( 40, 46)( 41, 68)( 44, 71)( 45, 92)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,110)( 60, 66)( 61,122)( 62, 87)( 64, 70)( 65,126)( 69, 91)( 73, 99)( 74, 95)( 77, 82)( 78,114)( 80, 86)
        ( 81,135)( 84, 90)( 85,136)( 88,118)( 89,138)( 93, 98)( 94,127)( 96,130)( 97,147)(100,106)(101,143)(102,131)
        (104,109)(105,154)(108,113)(111,117)(112,155)(115,134)(116,158)(119,125)(120,132)(121,142)(123,129)(124,151)
        (128,146)(133,150)(137,141)(139,145)(140,159)(144,157)(148,153)(149,152)(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, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 47)( 24, 43)( 26, 32)( 27, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 40, 46)( 41, 67)( 44, 70)( 45, 95)( 48, 54)( 49,105)( 50, 71)( 52, 58)( 53,109)( 56, 74)
        ( 57,113)( 60, 65)( 61, 97)( 62, 90)( 64, 69)( 68, 94)( 72,101)( 73, 98)( 75, 81)( 76,125)( 77,117)( 79, 85)
        ( 80,126)( 83, 89)( 84,129)( 87, 93)( 88,133)( 91, 99)( 92,104)( 96,100)(102,108)(103,134)(106,112)(107,137)
        (110,116)(111,141)(114,120)(115,145)(118,121)(119,149)(122,128)(123,158)(124,153)(127,132)(130,136)(131,159)
        (135,140)(138,144)(139,160)(142,148)(143,155)(146,152)(147,151)(150,156)(154,157),
      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, 39)(  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, 79)( 28, 55)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 42)( 40, 46)( 41, 68)( 44, 71)( 45, 96)( 48, 54)( 49,106)( 50, 72)( 52, 58)( 53,110)( 56, 75)
        ( 57,114)( 60, 66)( 61,126)( 62, 91)( 64, 70)( 65,127)( 69, 95)( 73,102)( 74, 99)( 76, 82)( 77,119)( 78,118)
        ( 80, 86)( 81,131)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92,122)( 93,142)( 97,101)( 98,128)(100,124)(103,109)
        (104,143)(105,125)(107,113)(108,146)(111,117)(112,150)(115,121)(116,153)(120,130)(123,129)(132,137)(133,154)
        (135,141)(136,158)(139,145)(140,159)(144,149)(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, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 57)( 30, 36)( 31, 79)( 34, 61)
        ( 35, 83)( 38, 44)( 39, 91)( 40, 67)( 42, 48)( 43, 94)( 46, 52)( 47, 98)( 50, 56)( 51,102)( 54, 60)( 55,106)
        ( 58, 71)( 59,110)( 62, 68)( 63, 93)( 64, 87)( 66, 69)( 72, 78)( 73,122)( 74,114)( 76, 82)( 77,126)( 80, 86)
        ( 81,130)( 84, 90)( 85,133)( 88, 96)( 89,137)( 92, 97)( 95,101)( 99,105)(100,138)(103,109)(104,141)(107,113)
        (108,145)(111,117)(112,149)(115,119)(116,118)(120,125)(121,150)(123,129)(124,154)(127,132)(128,157)(131,136)
        (134,140)(135,158)(139,144)(142,148)(143,159)(146,152)(147,156)(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, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 68)( 23, 47)( 24, 44)( 26, 32)( 27, 77)( 28, 55)( 30, 36)( 31, 81)( 34, 59)
        ( 35, 85)( 38, 43)( 39, 72)( 40, 65)( 42, 46)( 45, 69)( 48, 54)( 49, 90)( 50, 70)( 52, 58)( 53, 93)( 56, 73)
        ( 57, 97)( 60, 66)( 61, 71)( 62, 89)( 64, 67)( 74, 80)( 75,109)( 76,101)( 78, 84)( 79,113)( 82, 88)( 83,117)
        ( 86, 92)( 87,121)( 91, 96)( 94,100)( 95,122)( 98,104)( 99,125)(102,105)(103,129)(106,112)(107,141)(108,133)
        (110,116)(111,145)(114,120)(115,149)(118,124)(119,153)(123,128)(126,132)(127,154)(130,136)(131,157)(134,137)
        (135,158)(138,144)(139,151)(140,159)(142,148)(143,147)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 43)( 39, 94)( 40, 66)( 42, 47)( 45, 70)( 46, 95)( 49, 55)( 50, 98)( 51, 71)( 53, 59)( 54,102)
        ( 57, 74)( 58,106)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72, 91)( 73, 96)( 75, 81)( 76,118)( 77,110)( 79, 85)
        ( 80,121)( 83, 89)( 84,125)( 87, 93)( 88,129)( 92,101)( 99,105)(100,130)(103,109)(104,133)(107,113)(108,137)
        (111,114)(112,141)(115,120)(116,149)(117,142)(119,124)(122,128)(123,150)(126,132)(127,153)(131,136)(134,140)
        (135,154)(138,144)(139,157)(143,145)(146,152)(147,159)(148,158)(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, 69)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 43)( 39, 94)( 40, 66)( 42, 47)( 45, 70)( 46, 95)( 49, 55)( 50,105)( 51, 71)( 53, 59)( 54,109)
        ( 57, 74)( 58,113)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,101)( 73, 98)( 75, 81)( 76,122)( 77,117)( 79, 85)
        ( 80,125)( 83, 89)( 84,129)( 87, 93)( 88,133)( 91, 99)( 92,104)( 96,100)(102,108)(103,134)(106,112)(107,137)
        (110,116)(111,141)(114,120)(115,145)(118,121)(119,149)(123,128)(124,153)(126,132)(127,158)(130,136)(131,159)
        (135,140)(138,144)(139,160)(142,148)(143,155)(146,152)(147,151)(150,156)(154,157),
      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, 69)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 43)( 39, 94)( 40, 66)( 42, 47)( 45, 70)( 46, 95)( 49, 55)( 50,105)( 51, 71)( 53, 59)( 54,109)
        ( 57, 74)( 58,113)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,102)( 73, 98)( 75, 81)( 76,129)( 77,117)( 79, 85)
        ( 80,133)( 83, 89)( 84,137)( 87, 93)( 88,141)( 91,100)( 92,145)( 96,101)( 99,121)(103,108)(104,122)(106,112)
        (107,150)(110,116)(111,151)(114,120)(115,153)(118,125)(119,157)(123,149)(124,146)(126,132)(127,139)(128,158)
        (130,136)(131,135)(134,140)(138,144)(142,148)(143,159)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 43)( 39, 94)( 40, 66)( 42, 47)( 45, 70)( 46, 95)( 49, 55)( 50,106)( 51, 71)( 53, 59)( 54,109)
        ( 57, 74)( 58,113)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,102)( 73, 98)( 75, 81)( 76,129)( 77,117)( 79, 85)
        ( 80,133)( 83, 89)( 84,137)( 87, 93)( 88,141)( 91,100)( 92,145)( 96,101)( 99,121)(103,108)(104,150)(105,122)
        (107,112)(110,116)(111,151)(114,120)(115,153)(118,125)(119,157)(123,149)(124,146)(126,132)(127,139)(128,158)
        (130,136)(131,135)(134,140)(138,144)(142,148)(143,159)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 66)( 42, 47)( 43, 95)( 46, 70)( 49, 55)( 50, 98)( 51, 71)( 53, 59)( 54,102)
        ( 57, 74)( 58,106)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 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)(120,146)(123,129)(124,149)(128,133)(131,137)(132,150)(135,141)
        (136,153)(139,144)(140,157)(143,145)(147,152)(148,158)(151,156)(154,160)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 66)( 42, 47)( 43, 98)( 46, 70)( 49, 55)( 50,106)( 51, 71)( 53, 59)( 54,110)
        ( 57, 74)( 58,114)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,102)( 73, 99)( 75, 81)( 76,133)( 77,118)( 79, 85)
        ( 80,137)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91,122)( 92,145)( 95,101)( 96,123)(100,126)(103,109)(104,150)
        (105,127)(107,113)(108,153)(111,117)(112,132)(115,121)(116,120)(119,129)(124,128)(125,149)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 82)( 38, 44)( 39, 90)( 40, 66)( 42, 48)( 43, 94)( 46, 70)( 47, 98)( 50, 55)( 51, 71)( 53, 59)( 54,107)
        ( 57, 74)( 58,110)( 61, 67)( 62, 93)( 63, 86)( 65, 68)( 72,106)( 73,102)( 75, 81)( 76,130)( 77,114)( 80, 85)
        ( 83, 89)( 84,131)( 87,118)( 88,134)( 91, 97)( 92,119)( 95,101)( 96,141)( 99,105)(100,142)(103,122)(104,145)
        (108,113)(109,123)(111,117)(112,154)(115,126)(116,157)(120,144)(121,137)(124,153)(125,149)(127,133)(128,139)
        (129,151)(132,136)(135,140)(138,147)(143,148)(146,152)(150,158)(155,160)(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, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,102)( 50, 56)( 51,114)( 52, 72)( 54, 60)
        ( 55,117)( 58, 75)( 59,121)( 62, 68)( 63, 98)( 64, 91)( 66, 69)( 73,110)( 74,106)( 76, 82)( 77,133)( 78,122)
        ( 80, 86)( 81,137)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92,125)( 93,149)( 96,101)( 97,126)(100,105)(103,109)
        (104,127)(107,113)(108,154)(111,116)(112,157)(115,120)(118,124)(119,158)(123,129)(128,153)(130,136)(131,151)
        (132,159)(134,140)(135,147)(138,144)(139,143)(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, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,102)( 50, 56)( 51,111)( 52, 72)( 54, 60)
        ( 55,114)( 58, 75)( 59,118)( 62, 68)( 63, 98)( 64, 91)( 66, 69)( 73,110)( 74,106)( 76, 82)( 77,133)( 78,119)
        ( 80, 86)( 81,137)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92,122)( 93,149)( 96,101)( 97,123)(100,105)(103,109)
        (104,124)(107,126)(108,154)(112,117)(113,127)(115,121)(116,158)(120,129)(125,153)(128,157)(130,136)(131,151)
        (132,159)(134,140)(135,147)(138,144)(139,143)(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, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 67)( 42, 48)( 43, 98)( 46, 71)( 47,102)( 50, 56)( 51,114)( 52, 72)( 54, 60)
        ( 55,118)( 58, 75)( 59,122)( 62, 68)( 63, 97)( 64, 90)( 66, 69)( 73,110)( 74,106)( 76, 81)( 77,126)( 79, 85)
        ( 80,139)( 83, 89)( 84,142)( 87, 93)( 88,146)( 91,130)( 92,147)( 95,101)( 96,131)( 99,105)(100,132)(103,109)
        (104,151)(107,134)(108,154)(111,117)(112,124)(113,135)(115,121)(116,120)(119,125)(123,129)(127,138)(128,136)
        (133,150)(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, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 74)( 40, 67)( 42, 48)( 43, 47)( 46, 71)( 50, 56)( 51, 92)( 52, 72)( 54, 60)( 55, 95)
        ( 58, 75)( 59, 99)( 62, 68)( 63, 73)( 64, 91)( 66, 69)( 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, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 66)( 16, 33)( 18, 37)( 19, 63)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,103)( 50, 56)( 51,114)( 52, 72)( 54, 60)
        ( 55,117)( 58, 75)( 59,121)( 62, 65)( 64, 70)( 68, 91)( 69, 88)( 73,111)( 74,107)( 76, 82)( 77,126)( 78,125)
        ( 80, 86)( 81,138)( 84, 90)( 85,141)( 89,132)( 92, 98)( 93,149)( 94,129)( 96,102)( 97,150)(100,106)(101,151)
        (104,110)(105,147)(108,133)(109,153)(112,116)(113,134)(115,120)(118,124)(119,135)(122,128)(123,158)(127,137)
        (130,145)(131,142)(136,157)(139,144)(140,159)(143,155)(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, 66)( 16, 33)( 18, 37)( 19, 63)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 67)( 42, 48)( 43, 98)( 46, 71)( 47,102)( 50, 56)( 51,114)( 52, 72)( 54, 60)
        ( 55,118)( 58, 75)( 59,122)( 62, 65)( 64, 70)( 68, 90)( 69, 87)( 73,110)( 74,106)( 76, 81)( 77,126)( 79, 85)
        ( 80,138)( 83, 89)( 84,141)( 88,132)( 91, 97)( 92,149)( 93,129)( 95,101)( 96,150)( 99,105)(100,151)(103,109)
        (104,147)(107,133)(108,153)(111,117)(112,116)(113,134)(115,121)(119,125)(120,135)(123,128)(124,158)(127,137)
        (130,145)(131,142)(136,157)(139,144)(140,159)(143,155)(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, 34)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 35, 61)
        ( 38, 44)( 39, 88)( 40, 65)( 42, 48)( 43, 92)( 46, 69)( 47, 96)( 50, 56)( 51,103)( 52, 70)( 54, 60)( 55,107)
        ( 58, 72)( 59,111)( 63, 68)( 64, 81)( 66, 84)( 67,120)( 71, 99)( 73, 79)( 74,131)( 75,115)( 77, 83)( 78,135)
        ( 82,119)( 85, 91)( 86,140)( 87,123)( 89, 95)( 90,143)( 93, 98)( 94,147)( 97,102)(100,106)(101,148)(104,110)
        (105,151)(108,114)(109,155)(112,118)(113,160)(116,127)(117,157)(121,126)(122,136)(124,139)(125,137)(128,134)
        (129,145)(130,153)(132,138)(133,142)(141,146)(144,150)(149,154)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 58)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 44)( 39, 98)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,114)( 52, 76)( 54, 57)
        ( 55, 78)( 60, 66)( 61,122)( 62, 90)( 64, 70)( 65,126)( 68, 74)( 69,129)( 72, 94)( 73,130)( 77,110)( 80, 85)
        ( 81,115)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91,118)( 92,145)( 95,101)( 96,157)( 97,133)( 99,105)(100,151)
        (103,109)(104,147)(107,113)(108,143)(111,117)(112,140)(116,137)(119,125)(120,156)(121,149)(123,128)(124,135)
        (127,132)(131,136)(134,153)(139,144)(142,148)(146,152)(150,158)(154,160)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 58)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,118)( 52, 76)( 54, 57)
        ( 55, 79)( 60, 66)( 61,126)( 62, 91)( 64, 70)( 65,130)( 68, 74)( 69,133)( 72, 95)( 73,137)( 77,115)( 78,111)
        ( 81, 86)( 82,119)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92,122)( 93,153)( 96,102)( 97,142)( 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)(125,157)
        (127,132)(128,135)(131,136)(134,140)(138,144)(143,158)(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, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 33)( 18, 37)( 19, 62)( 23, 48)( 24, 45)( 26, 32)( 27, 72)( 28, 50)( 30, 36)( 31, 74)( 34, 54)
        ( 35, 78)( 38, 44)( 39, 80)( 40, 66)( 42, 47)( 43, 76)( 46, 70)( 49, 52)( 51, 71)( 55, 61)( 56, 90)( 57, 82)
        ( 59, 65)( 60, 94)( 63, 69)( 64, 98)( 67, 84)( 68,102)( 73, 77)( 75, 81)( 79, 85)( 83, 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)(128,150)(129,143)(131,137)(132,153)(135,141)
        (136,157)(139,145)(140,149)(144,146)(147,152)(148,158)(151,156)(154,160)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 33)( 18, 37)( 19, 62)( 23, 48)( 24, 45)( 26, 32)( 27, 72)( 28, 50)( 30, 36)( 31, 74)( 34, 54)
        ( 35, 78)( 38, 44)( 39, 80)( 40, 66)( 42, 47)( 43, 76)( 46, 70)( 49, 52)( 51, 71)( 55, 61)( 56, 90)( 57, 82)
        ( 59, 65)( 60, 94)( 63, 69)( 64, 98)( 67, 84)( 68,102)( 73, 77)( 75, 81)( 79, 85)( 83, 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)(128,150)(129,143)(131,137)(132,154)(135,141)
        (136,158)(139,145)(140,149)(144,146)(147,153)(148,159)(151,157)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 45)( 23, 44)( 25, 31)( 26, 64)( 27, 46)( 29, 35)( 30, 65)( 33, 48)( 34, 68)
        ( 37, 43)( 38, 70)( 39, 60)( 41, 47)( 42, 67)( 49, 55)( 50, 80)( 51, 72)( 53, 59)( 54, 84)( 57, 63)( 58, 88)
        ( 61, 74)( 62, 92)( 66, 71)( 69, 75)( 73, 76)( 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)(118,140)(119,133)(121,127)(122,144)(125,131)(126,148)(129,135)(130,152)(134,136)(137,143)
        (138,155)(139,153)(141,147)(142,160)(145,151)(146,157)(149,154)(150,158)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 45)( 23, 44)( 25, 31)( 26, 64)( 27, 46)( 29, 35)( 30, 68)( 33, 48)( 34, 71)
        ( 37, 43)( 38, 83)( 39, 60)( 41, 47)( 42, 67)( 49, 55)( 50, 91)( 51, 75)( 53, 59)( 54, 95)( 57, 63)( 58, 99)
        ( 61, 79)( 62,103)( 65, 70)( 66, 84)( 69, 74)( 72, 78)( 73, 85)( 76, 87)( 77, 81)( 80, 86)( 82,107)( 88, 94)
        ( 89,115)( 90,108)( 92, 98)( 93,119)( 96,102)( 97,123)(100,106)(101,127)(104,110)(105,131)(109,111)(112,118)
        (113,139)(114,132)(116,122)(117,143)(120,126)(121,147)(124,130)(125,151)(128,134)(129,152)(133,135)(136,142)
        (137,155)(138,153)(140,146)(141,160)(144,150)(145,157)(148,154)(149,158)(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, 23)( 12, 22)( 14, 20)
        ( 15, 52)( 16, 33)( 18, 37)( 19, 56)( 24, 45)( 26, 32)( 27, 64)( 28, 46)( 30, 36)( 31, 65)( 34, 48)( 35, 68)
        ( 38, 44)( 39, 70)( 40, 60)( 42, 47)( 43, 67)( 49, 55)( 50, 80)( 51, 72)( 53, 59)( 54, 84)( 57, 63)( 58, 88)
        ( 61, 74)( 62, 92)( 66, 71)( 69, 75)( 73, 76)( 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)(118,140)(119,133)(121,127)(122,144)(125,131)(126,148)(129,135)(130,152)(134,136)(137,143)
        (138,155)(139,153)(141,147)(142,156)(145,151)(146,160)(149,154)(150,158)(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, 23)( 12, 22)( 14, 20)
        ( 15, 52)( 16, 33)( 18, 37)( 19, 56)( 24, 45)( 26, 32)( 27, 64)( 28, 46)( 30, 36)( 31, 68)( 34, 48)( 35, 71)
        ( 38, 44)( 39, 83)( 40, 60)( 42, 47)( 43, 67)( 49, 55)( 50, 91)( 51, 75)( 53, 59)( 54, 95)( 57, 63)( 58, 99)
        ( 61, 79)( 62,103)( 65, 70)( 66, 84)( 69, 74)( 72, 78)( 73, 85)( 76, 87)( 77, 81)( 80, 86)( 82,107)( 88, 94)
        ( 89,115)( 90,108)( 92, 98)( 93,119)( 96,102)( 97,123)(100,106)(101,127)(104,110)(105,131)(109,111)(112,118)
        (113,139)(114,132)(116,122)(117,143)(120,126)(121,147)(124,130)(125,151)(128,134)(129,152)(133,135)(136,142)
        (137,155)(138,153)(140,146)(141,156)(144,150)(145,160)(148,154)(149,158)(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, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 47)( 24, 46)( 26, 32)( 27, 70)( 28, 55)( 30, 36)( 31, 74)( 34, 59)
        ( 35, 78)( 38, 44)( 39, 86)( 40, 61)( 42, 45)( 43, 50)( 48, 54)( 49, 87)( 52, 58)( 53, 90)( 56, 66)( 57, 94)
        ( 60, 65)( 62, 82)( 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)(104,141)(105,134)(107,113)
        (108,145)(111,117)(112,149)(115,121)(116,153)(119,125)(120,157)(124,129)(127,133)(128,158)(131,136)(132,140)
        (135,137)(138,144)(139,159)(142,148)(143,155)(146,152)(147,151)(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, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 46)( 26, 32)( 27, 74)( 28, 55)( 30, 36)( 31, 78)( 34, 59)
        ( 35, 82)( 38, 44)( 39, 90)( 40, 68)( 42, 45)( 43, 50)( 48, 54)( 49, 91)( 52, 58)( 53, 94)( 56, 70)( 57, 98)
        ( 60, 66)( 61, 96)( 62, 86)( 64, 69)( 65, 93)( 71, 77)( 72,110)( 73,102)( 75, 81)( 76,114)( 79, 85)( 80,118)
        ( 83, 89)( 84,122)( 87,100)( 88,126)( 92, 97)( 95,101)( 99,105)(103,106)(104,127)(107,113)(108,138)(109,130)
        (111,117)(112,142)(115,121)(116,146)(119,125)(120,150)(123,129)(124,154)(128,133)(131,134)(132,155)(135,141)
        (136,148)(137,158)(139,145)(140,144)(143,149)(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, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 46)( 26, 32)( 27, 79)( 28, 55)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 71)( 42, 45)( 43, 50)( 48, 54)( 49,100)( 52, 58)( 53,103)( 56, 75)( 57,107)
        ( 60, 66)( 61, 73)( 62, 91)( 64, 70)( 65, 69)( 68, 74)( 72, 95)( 76, 82)( 77,119)( 78,111)( 80, 86)( 81,123)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(101,106)(104,110)(105,140)(108,114)
        (109,143)(112,115)(113,147)(116,122)(117,150)(118,148)(120,126)(121,154)(124,130)(125,158)(128,134)(129,159)
        (132,138)(133,156)(136,142)(137,152)(141,146)(144,149)(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, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 60)( 23, 43)( 24, 39)( 26, 32)( 27, 66)( 28, 51)( 30, 36)( 31, 70)( 34, 55)
        ( 35, 74)( 38, 41)( 40, 57)( 44, 50)( 45, 75)( 46, 58)( 48, 54)( 49, 78)( 52, 62)( 53, 82)( 56, 61)( 63, 69)
        ( 64, 94)( 65, 86)( 67, 73)( 68, 98)( 71, 77)( 72,102)( 76, 81)( 79, 85)( 80,103)( 83, 89)( 84,106)( 87, 90)
        ( 88,110)( 91, 97)( 92,122)( 93,114)( 95,101)( 96,126)( 99,105)(100,130)(104,109)(107,113)(108,131)(111,117)
        (112,134)(115,118)(116,138)(119,125)(120,149)(121,142)(123,129)(124,153)(127,133)(128,157)(132,137)(135,141)
        (136,158)(139,144)(140,148)(143,145)(146,152)(147,159)(150,156)(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, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 34)( 12, 22)( 14, 20)
        ( 15, 23)( 16, 33)( 18,159)( 19, 37)( 24, 40)( 26, 32)( 27, 49)( 28, 41)( 30, 36)( 31, 53)( 35, 44)( 38,160)
        ( 42, 45)( 43, 54)( 46, 52)( 47, 65)( 48, 57)( 50, 56)( 51, 69)( 55, 60)( 58, 61)( 59, 70)( 62, 68)( 63, 81)
        ( 64, 73)( 66, 72)( 67, 85)( 71, 76)( 74, 77)( 75, 86)( 78, 84)( 79, 97)( 80, 89)( 82, 88)( 83,101)( 87, 92)
        ( 90, 93)( 91,102)( 94,100)( 95,113)( 96,105)( 98,104)( 99,117)(103,108)(106,109)(107,118)(110,116)(111,129)
        (112,121)(114,120)(115,133)(119,124)(122,125)(123,134)(126,132)(127,144)(128,137)(130,136)(131,148)(135,140)
        (138,141)(139,149)(142,147)(143,152)(145,151)(146,158)(150,155)(153,157)(154,156),
      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, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18,159)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 64)( 28, 53)( 30, 36)( 31, 68)( 34, 57)
        ( 35, 72)( 38,160)( 40, 44)( 42, 58)( 46, 52)( 47, 73)( 48, 59)( 50, 56)( 51, 76)( 54, 60)( 55, 80)( 61, 67)
        ( 62, 92)( 63, 84)( 65, 71)( 66, 96)( 69, 75)( 70,100)( 74, 79)( 77, 83)( 78,101)( 81, 87)( 82,104)( 85, 88)
        ( 86,108)( 89, 95)( 90,120)( 91,112)( 93, 99)( 94,124)( 97,103)( 98,128)(102,107)(105,111)(106,129)(109,115)
        (110,132)(113,116)(114,136)(117,123)(118,147)(119,140)(121,127)(122,151)(125,131)(126,155)(130,135)(133,139)
        (134,156)(137,143)(138,157)(141,144)(142,153)(145,150)(146,149)(148,154)(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, 39)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18,159)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 64)( 28, 52)( 30, 36)( 31, 68)( 34, 56)
        ( 35, 72)( 38,160)( 40, 44)( 42, 57)( 46, 51)( 47, 58)( 49, 55)( 50, 77)( 53, 60)( 54, 80)( 59, 76)( 61, 67)
        ( 62, 92)( 63, 84)( 65, 71)( 66, 96)( 69, 75)( 70,100)( 73, 79)( 74,104)( 78, 83)( 81, 87)( 82,105)( 85, 88)
        ( 86,108)( 89, 95)( 90,120)( 91,112)( 93, 99)( 94,124)( 97,103)( 98,128)(101,107)(102,132)(106,111)(109,115)
        (110,133)(113,116)(114,136)(117,123)(118,147)(119,140)(121,127)(122,151)(125,131)(126,155)(129,135)(130,156)
        (134,139)(137,143)(138,157)(141,144)(142,153)(145,150)(146,149)(148,154)(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, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18,159)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,160)( 40, 44)( 42, 58)( 46, 52)( 47, 81)( 48, 59)( 50, 56)( 51, 85)( 54, 61)( 55, 89)( 60, 77)
        ( 62, 68)( 63,101)( 64, 93)( 66, 72)( 67,105)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,117)( 82, 88)
        ( 83,118)( 86, 92)( 87,121)( 90, 96)( 91,125)( 94, 97)( 95,129)( 98,104)( 99,140)(100,133)(102,108)(103,144)
        (106,112)(107,148)(110,116)(111,152)(114,120)(115,156)(119,124)(122,128)(123,157)(126,132)(127,154)(130,136)
        (131,150)(134,137)(135,146)(138,143)(139,142)(141,147)(145,151)(149,155)(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, 21)(  7, 38)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 42)( 16, 32)( 18, 37)( 19, 36)( 23, 40)( 25, 31)( 26, 56)( 27, 48)( 29, 35)( 30, 60)( 33, 46)( 34, 64)
        ( 39, 43)( 41, 47)( 45, 51)( 49, 52)( 50, 65)( 53, 59)( 54, 76)( 55, 68)( 57, 63)( 58, 80)( 61, 67)( 62, 84)
        ( 66, 71)( 69, 72)( 70, 85)( 73, 79)( 74, 96)( 75, 88)( 77, 83)( 78,100)( 81, 87)( 82,104)( 86, 91)( 89, 92)
        ( 90,105)( 93, 99)( 94,116)( 95,108)( 97,103)( 98,120)(101,107)(102,124)(106,111)(109,112)(110,125)(113,119)
        (114,136)(115,128)(117,123)(118,140)(121,127)(122,144)(126,131)(129,132)(130,145)(133,139)(134,154)(135,148)
        (137,143)(138,157)(141,147)(142,158)(146,151)(149,152)(150,159)(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, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 37)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 68)( 27, 49)( 29, 35)( 30, 69)( 33, 52)( 34, 72)
        ( 38, 43)( 39, 57)( 41, 47)( 42, 81)( 45, 60)( 46, 84)( 50, 64)( 51, 61)( 53, 59)( 54,100)( 55, 76)( 58, 80)
        ( 62, 92)( 63, 88)( 65, 71)( 66,112)( 67, 93)( 70, 75)( 73, 79)( 74,113)( 77, 96)( 78,116)( 82, 87)( 83,101)
        ( 85, 91)( 86,124)( 89,104)( 90,127)( 94,108)( 95,105)( 97,103)( 98,143)( 99,120)(102,123)(106,135)(107,131)
        (109,115)(110,153)(111,136)(114,119)(117,122)(118,154)(121,139)(125,130)(126,144)(128,134)(129,158)(132,147)
        (133,152)(137,149)(138,148)(140,146)(141,160)(142,155)(145,157)(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, 39)(  8, 17)( 10, 25)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 42)( 16, 33)( 18, 38)( 19, 37)( 23, 34)( 24, 41)( 26, 32)( 27, 56)( 28, 48)( 30, 36)( 31, 60)( 35, 47)
        ( 40, 43)( 45, 51)( 46, 61)( 49, 52)( 50, 64)( 53, 59)( 54, 76)( 55, 68)( 57, 63)( 58, 80)( 62, 67)( 65, 71)
        ( 66, 81)( 69, 72)( 70, 84)( 73, 79)( 74, 96)( 75, 88)( 77, 83)( 78,100)( 82, 87)( 85, 91)( 86,101)( 89, 92)
        ( 90,104)( 93, 99)( 94,116)( 95,108)( 97,103)( 98,120)(102,107)(105,111)(106,121)(109,112)(110,124)(113,119)
        (114,136)(115,128)(117,123)(118,140)(122,127)(125,131)(126,141)(129,132)(130,144)(133,139)(134,154)(135,148)
        (137,143)(138,157)(142,147)(145,151)(146,158)(149,152)(150,159)(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, 49)( 12, 22)( 14, 20)
        ( 15, 40)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 42)( 26, 32)( 27, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 43)
        ( 35, 48)( 39, 44)( 46, 52)( 47, 66)( 50, 56)( 51, 69)( 54, 57)( 55, 73)( 58, 64)( 59, 85)( 60, 77)( 62, 68)
        ( 63, 89)( 67, 72)( 70, 76)( 71, 90)( 74, 80)( 75, 93)( 78, 81)( 79, 97)( 82, 88)( 83,109)( 84,101)( 86, 92)
        ( 87,113)( 91, 96)( 94,100)( 95,114)( 98,104)( 99,117)(102,105)(103,121)(106,112)(107,133)(108,125)(110,116)
        (111,137)(115,120)(118,124)(119,138)(122,128)(123,141)(126,129)(127,145)(130,136)(131,154)(132,149)(134,140)
        (135,158)(139,144)(142,148)(143,159)(146,151)(147,156)(150,152)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 72)( 28, 56)( 30, 36)( 31, 76)( 34, 60)
        ( 35, 80)( 39, 43)( 40, 65)( 42, 47)( 45, 62)( 46, 66)( 49, 55)( 50, 81)( 51, 63)( 53, 59)( 54, 84)( 57, 68)
        ( 58, 88)( 61, 67)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 82, 87)( 85, 91)( 86,109)
        ( 89, 95)( 90,112)( 93, 96)( 94,116)( 97,103)( 98,128)( 99,120)(101,107)(102,132)(105,111)(106,136)(110,115)
        (113,119)(114,137)(117,123)(118,140)(121,124)(122,144)(125,131)(126,156)(127,147)(129,135)(130,153)(133,139)
        (134,157)(138,143)(141,146)(142,158)(145,150)(148,151)(149,159)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 43)( 40, 65)( 42, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 88)( 51, 69)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 67)( 62, 70)( 63, 87)( 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)(105,137)(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)(138,144)(139,158)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 43)( 40, 65)( 42, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 93)( 51, 69)( 53, 59)( 54, 96)( 57, 72)
        ( 58,100)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,112)( 75,104)( 77, 83)( 78,116)( 81, 87)( 82,120)
        ( 85, 91)( 86,124)( 89, 95)( 90,128)( 94, 99)( 97,103)( 98,129)(101,107)(102,132)(105,108)(106,136)(109,115)
        (110,149)(111,140)(113,119)(114,146)(117,123)(118,150)(121,127)(122,154)(125,131)(126,158)(130,135)(133,139)
        (134,159)(137,143)(138,156)(141,144)(142,152)(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, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 43)( 40, 65)( 42, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 72)
        ( 58,103)( 61, 67)( 62, 71)( 63, 88)( 70, 91)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)( 81, 87)( 82,123)
        ( 85, 90)( 86,127)( 89, 94)( 92, 98)( 93,128)( 96,102)( 97,131)(100,106)(101,135)(104,110)(105,139)(108,111)
        (109,143)(112,118)(113,150)(114,148)(116,122)(117,151)(120,126)(121,153)(124,130)(125,157)(129,134)(132,138)
        (133,158)(136,142)(137,159)(140,146)(141,155)(144,147)(145,149)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 43)( 40, 65)( 42, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 72)
        ( 58,103)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)( 81, 87)( 82,123)
        ( 85, 91)( 86,127)( 89, 94)( 90,131)( 93, 98)( 96,102)( 97,132)(100,106)(101,135)(104,110)(105,139)(108,111)
        (109,143)(112,118)(113,150)(114,148)(116,122)(117,151)(120,126)(121,153)(124,130)(125,157)(128,134)(129,158)
        (133,138)(136,142)(137,159)(140,146)(141,155)(144,147)(145,149)(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, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 47)( 43, 93)( 46, 68)( 49, 55)( 50, 89)( 51, 69)( 53, 59)( 54, 95)( 57, 72)
        ( 58, 99)( 61, 67)( 62, 70)( 63, 88)( 66, 92)( 71, 94)( 73, 79)( 74,111)( 75,103)( 77, 83)( 78,115)( 81, 87)
        ( 82,119)( 85, 91)( 86,123)( 90, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,143)
        (110,135)(112,118)(113,144)(116,122)(117,147)(120,126)(121,151)(125,130)(128,134)(129,152)(132,138)(133,155)
        (136,139)(137,160)(140,146)(141,149)(142,157)(145,150)(148,154)(153,158)(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, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 48)( 43, 92)( 46, 68)( 47, 95)( 50, 55)( 51,107)( 52, 69)( 54, 59)( 57, 72)
        ( 58,108)( 61, 67)( 62,119)( 63, 87)( 66, 91)( 70,103)( 71, 99)( 73, 79)( 74,131)( 75,111)( 77, 83)( 78,132)
        ( 81, 86)( 82,135)( 85, 90)( 88,115)( 89,136)( 93, 98)( 94,120)( 96,102)( 97,144)(100,123)(101,147)(104,110)
        (105,157)(106,124)(109,114)(112,127)(113,158)(116,122)(117,146)(118,139)(121,143)(125,155)(126,151)(128,134)
        (129,141)(130,153)(133,138)(137,142)(140,149)(145,150)(148,154)(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, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 82)( 39, 44)( 40, 66)( 42, 48)( 43, 90)( 46, 69)( 47, 93)( 50, 56)( 51,105)( 52, 70)( 54, 60)( 55,109)
        ( 58, 73)( 59,113)( 62, 68)( 63,125)( 64, 85)( 67, 89)( 71,101)( 72, 97)( 74, 80)( 75,136)( 76,117)( 78, 84)
        ( 79,137)( 83, 88)( 86,121)( 87,138)( 91, 96)( 92,126)( 94,100)( 95,141)( 98,129)( 99,143)(102,108)(103,151)
        (104,130)(106,112)(107,155)(110,116)(111,160)(114,120)(115,157)(118,132)(119,153)(122,128)(123,145)(124,134)
        (127,140)(131,147)(133,139)(135,149)(142,146)(144,150)(148,154)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 97)( 50, 56)( 51,105)( 52, 70)( 54, 60)( 55,109)
        ( 58, 73)( 59,113)( 62, 68)( 63, 96)( 64, 89)( 67, 93)( 71,101)( 72, 98)( 74, 80)( 75,123)( 76,117)( 78, 84)
        ( 79,127)( 82, 88)( 83,131)( 86, 92)( 87,135)( 90, 99)( 91,104)( 95,100)(102,108)(103,136)(106,112)(107,139)
        (110,116)(111,143)(114,120)(115,147)(118,121)(119,150)(122,126)(124,130)(125,151)(128,134)(129,155)(132,138)
        (133,158)(137,142)(140,146)(141,159)(144,149)(145,157)(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, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 97)( 50, 56)( 51,109)( 52, 70)( 54, 60)( 55,113)
        ( 58, 73)( 59,114)( 62, 68)( 63,125)( 64, 89)( 67, 93)( 71,105)( 72,101)( 74, 80)( 75,136)( 76,117)( 78, 84)
        ( 79,140)( 82, 88)( 83,145)( 86, 92)( 87,142)( 90,121)( 91,138)( 95,100)( 96,126)( 98,104)( 99,147)(102,129)
        (103,149)(106,112)(107,157)(108,130)(110,116)(111,158)(115,120)(118,132)(119,159)(122,128)(123,151)(124,134)
        (127,146)(131,153)(133,139)(135,155)(137,143)(141,144)(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, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 97)( 50, 56)( 51,108)( 52, 70)( 54, 60)( 55,112)
        ( 58, 73)( 59,113)( 62, 68)( 63,124)( 64, 89)( 67, 93)( 71,105)( 72,101)( 74, 80)( 75,136)( 76,116)( 78, 84)
        ( 79,140)( 82, 88)( 83,145)( 86, 92)( 87,142)( 90,120)( 91,138)( 95,100)( 96,125)( 98,104)( 99,147)(102,128)
        (103,149)(106,111)(107,129)(109,115)(110,158)(114,119)(117,132)(118,159)(121,127)(122,151)(123,134)(126,146)
        (130,157)(131,153)(133,139)(135,155)(137,143)(141,144)(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, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 97)( 50, 56)( 51,108)( 52, 70)( 54, 60)( 55,112)
        ( 58, 73)( 59,116)( 62, 68)( 63,128)( 64, 89)( 67, 93)( 71,104)( 72,101)( 74, 80)( 75,136)( 76,120)( 78, 84)
        ( 79,139)( 82, 88)( 83,140)( 86, 92)( 87,143)( 90,124)( 91,147)( 95,100)( 96,129)( 98,103)( 99,130)(102,126)
        (105,111)(106,148)(107,127)(109,115)(110,151)(113,119)(114,155)(117,123)(118,160)(121,132)(122,157)(125,131)
        (133,138)(134,145)(135,153)(137,142)(141,146)(144,150)(149,154)(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, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 57)( 30, 36)( 31, 79)( 34, 61)
        ( 35, 83)( 39, 44)( 40, 66)( 42, 48)( 43, 92)( 46, 69)( 47, 95)( 50, 56)( 51,106)( 52, 70)( 54, 60)( 55,110)
        ( 58, 73)( 59,114)( 62, 68)( 63,122)( 64, 87)( 67, 91)( 71,102)( 72, 99)( 74, 78)( 76, 82)( 77,115)( 80, 86)
        ( 81,131)( 84, 90)( 85,134)( 88,118)( 89,138)( 93, 98)( 94,123)( 96,101)( 97,147)(100,126)(103,109)(104,143)
        (105,127)(107,113)(108,149)(111,117)(112,153)(116,130)(119,125)(120,128)(121,142)(124,146)(129,148)(132,137)
        (133,154)(135,141)(136,158)(139,145)(140,159)(144,152)(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, 39)(  8, 17)( 10, 25)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 61)( 28, 49)( 30, 36)( 31, 65)( 34, 53)
        ( 35, 69)( 40, 44)( 42, 54)( 47, 52)( 48, 55)( 50, 57)( 51, 74)( 56, 73)( 58, 64)( 59, 85)( 60, 77)( 62, 68)
        ( 63, 89)( 66, 72)( 67, 93)( 70, 76)( 71, 97)( 75, 80)( 78, 81)( 79, 98)( 82, 88)( 83,109)( 84,101)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 94,100)( 95,121)( 99,104)(102,105)(103,122)(106,112)(107,133)(108,125)(110,116)
        (111,137)(114,120)(115,140)(118,124)(119,144)(123,128)(126,129)(127,145)(130,136)(131,154)(132,148)(134,139)
        (135,157)(138,143)(141,147)(142,158)(146,151)(149,152)(150,159)(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, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 40, 44)( 42, 58)( 46, 52)( 47, 80)( 48, 59)( 50, 56)( 51, 84)( 54, 61)( 55, 88)( 60, 76)( 62, 68)
        ( 63,100)( 64, 92)( 66, 72)( 67,104)( 70, 75)( 71,108)( 74, 79)( 77, 83)( 78,109)( 81, 87)( 82,112)( 85, 91)
        ( 86,116)( 89, 95)( 90,120)( 93, 96)( 94,124)( 97,103)( 98,135)( 99,128)(101,107)(102,139)(105,111)(106,143)
        (110,115)(113,119)(114,144)(117,123)(118,147)(121,127)(122,148)(125,131)(126,151)(129,132)(130,155)(133,138)
        (134,160)(136,142)(137,157)(140,146)(141,153)(145,150)(149,154)(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, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 40, 44)( 42, 58)( 46, 52)( 47, 81)( 48, 59)( 50, 56)( 51, 85)( 54, 61)( 55, 89)( 60, 77)( 62, 68)
        ( 63,101)( 64, 93)( 66, 72)( 67,105)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,117)( 82, 88)( 83,120)
        ( 86, 92)( 87,124)( 90, 96)( 91,128)( 94, 97)( 95,132)( 98,104)( 99,142)(100,136)(102,108)(103,145)(106,112)
        (107,149)(110,116)(111,153)(114,119)(115,157)(118,123)(121,127)(122,158)(125,131)(126,159)(129,135)(130,155)
        (133,139)(134,151)(137,140)(138,147)(141,144)(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, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 40, 44)( 42, 58)( 46, 52)( 47, 81)( 48, 59)( 50, 56)( 51, 85)( 54, 61)( 55, 89)( 60, 77)( 62, 68)
        ( 63,101)( 64, 93)( 66, 72)( 67,105)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,117)( 82, 88)( 83,121)
        ( 86, 92)( 87,124)( 90, 96)( 91,128)( 94, 97)( 95,132)( 98,104)( 99,142)(100,136)(102,108)(103,145)(106,112)
        (107,149)(110,116)(111,153)(114,120)(115,157)(118,123)(119,158)(122,127)(125,131)(126,159)(129,135)(130,155)
        (133,139)(134,151)(137,140)(138,147)(141,144)(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, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 38)( 19, 37)( 23, 47)( 24, 46)( 26, 32)( 27, 71)( 28, 55)( 30, 36)( 31, 75)( 34, 59)
        ( 35, 79)( 39, 44)( 40, 64)( 42, 45)( 43, 50)( 48, 54)( 49, 65)( 52, 58)( 53, 61)( 56, 67)( 57, 84)( 60, 66)
        ( 62, 83)( 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, 27)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 31)( 18, 36)( 19, 35)( 23, 47)( 24, 43)( 26, 30)( 28, 34)( 29, 52)( 32, 55)( 33, 68)( 37, 42)
        ( 38, 60)( 40, 46)( 41, 76)( 44, 63)( 45, 79)( 48, 54)( 49, 91)( 50, 64)( 53, 67)( 56, 62)( 57, 99)( 58, 71)
        ( 61, 75)( 65, 87)( 66, 83)( 69, 74)( 70, 92)( 72, 95)( 73,108)( 77, 82)( 78,100)( 80, 86)( 81,116)( 84,103)
        ( 85,119)( 88, 94)( 89,130)( 90,104)( 93,107)( 96,102)( 97,138)( 98,111)(101,115)(105,127)(106,123)(109,114)
        (110,131)(112,134)(113,147)(117,122)(118,139)(120,126)(121,154)(124,142)(125,157)(128,133)(129,143)(132,146)
        (135,141)(136,156)(137,150)(140,153)(144,149)(145,158)(148,152)(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, 27)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 31)( 18, 36)( 19, 35)( 23, 47)( 24, 43)( 26, 30)( 28, 34)( 29, 52)( 32, 55)( 33, 68)( 37, 42)
        ( 38, 60)( 40, 46)( 41, 76)( 44, 63)( 45, 79)( 48, 54)( 49, 91)( 50, 64)( 53, 67)( 56, 62)( 57, 99)( 58, 71)
        ( 61, 75)( 65, 87)( 66, 83)( 69, 74)( 70, 92)( 72, 95)( 73,108)( 77, 82)( 78,100)( 80, 86)( 81,116)( 84,103)
        ( 85,119)( 88, 94)( 89,131)( 90,104)( 93,107)( 96,102)( 97,139)( 98,111)(101,115)(105,127)(106,123)(109,114)
        (110,132)(112,135)(113,148)(117,122)(118,140)(120,126)(121,155)(124,143)(125,156)(128,134)(129,152)(130,144)
        (133,147)(136,142)(137,159)(138,150)(141,154)(145,151)(146,158)(149,153)(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, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,101)( 52, 62)( 54, 60)( 55,104)( 58, 65)
        ( 59,108)( 63, 97)( 64, 93)( 66, 72)( 67,124)( 68,112)( 70, 76)( 71,128)( 74, 80)( 75,132)( 78, 84)( 79,136)
        ( 82, 88)( 83,139)( 86, 92)( 87,143)( 90, 96)( 91,147)( 94,116)( 95,151)( 98,103)( 99,106)(100,117)(102,107)
        (105,111)(109,115)(110,118)(113,120)(114,156)(119,155)(121,127)(122,153)(123,160)(125,131)(126,149)(129,135)
        (130,145)(133,138)(134,141)(137,142)(140,146)(144,150)(148,154)(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, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,101)( 52, 62)( 54, 60)( 55,105)( 58, 65)
        ( 59,109)( 63, 97)( 64, 93)( 66, 72)( 67,121)( 68,112)( 70, 76)( 71,124)( 74, 80)( 75,128)( 78, 84)( 79,132)
        ( 82, 88)( 83,135)( 86, 92)( 87,136)( 90, 96)( 91,139)( 94,116)( 95,143)( 98,104)( 99,156)(100,117)(102,108)
        (103,153)(106,111)(107,157)(110,115)(113,120)(114,158)(118,151)(119,147)(122,127)(123,149)(125,131)(126,145)
        (129,134)(130,141)(133,138)(137,142)(140,146)(144,150)(148,159)(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, 27)(  4,  9)(  6, 19)(  7, 35)(  8, 15)( 10, 23)( 11, 47)( 12, 20)( 14, 18)
        ( 16, 31)( 17, 28)( 21, 43)( 22, 39)( 24, 30)( 25, 67)( 26, 51)( 29, 55)( 32, 38)( 33, 75)( 34, 56)( 36, 42)
        ( 37, 79)( 40, 59)( 41, 83)( 44, 50)( 45, 95)( 46, 60)( 48, 54)( 49, 99)( 52, 63)( 53,103)( 57, 71)( 58, 68)
        ( 61, 91)( 62, 87)( 64, 70)( 65,122)( 66,106)( 69,110)( 72, 78)( 73,127)( 74,111)( 76, 82)( 77,130)( 80, 86)
        ( 81,134)( 84, 90)( 85,138)( 88,115)( 89,114)( 92, 98)( 93,142)( 94,116)( 96,102)( 97,146)(100,105)(101,150)
        (104,109)(107,118)(108,151)(112,126)(113,123)(117,139)(119,125)(120,157)(121,148)(124,153)(128,133)(129,154)
        (131,137)(132,155)(135,141)(136,159)(140,145)(143,149)(144,160)(147,152)(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, 30)(  4,  9)(  6, 21)(  7, 35)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 27)( 18, 31)( 19, 59)( 23, 43)( 24, 39)( 26, 29)( 28, 51)( 32, 38)( 33, 75)( 34, 63)( 36, 42)
        ( 37, 76)( 40, 67)( 41, 79)( 44, 50)( 45, 91)( 46, 68)( 48, 54)( 49, 95)( 52, 58)( 53, 99)( 56, 62)( 57,103)
        ( 60, 66)( 61,107)( 64, 71)( 65,111)( 69, 87)( 70, 83)( 72, 78)( 73, 81)( 74,115)( 77, 82)( 80, 86)( 84,119)
        ( 85,116)( 88, 94)( 89,131)( 90,120)( 92, 98)( 93,135)( 96,102)( 97,139)(100,106)(101,143)(104,110)(105,147)
        (108,114)(109,151)(112,118)(113,155)(117,126)(121,127)(122,123)(124,158)(125,156)(128,134)(129,149)(130,159)
        (132,138)(133,145)(136,142)(137,141)(140,146)(144,150)(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, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 49)( 16, 33)( 18, 37)( 19, 53)( 23, 28)( 24, 42)( 27, 32)( 30, 36)( 31, 43)( 34, 45)( 35, 39)( 38, 44)
        ( 40, 57)( 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)(143,156)(144,154)(146,152)(147,160)(150,155)(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,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 74)( 34, 53)( 35, 77)
        ( 38, 44)( 39, 89)( 40, 65)( 42, 48)( 43, 93)( 46, 69)( 47, 97)( 51, 73)( 52, 70)( 54, 60)( 55,113)( 56, 81)
        ( 58, 64)( 59,117)( 62, 68)( 63,120)( 66, 85)( 67,124)( 71,105)( 72,101)( 75, 80)( 76,106)( 78, 84)( 79,135)
        ( 82,109)( 83,138)( 86, 92)( 87,150)( 88,128)( 90, 96)( 91,151)( 94,100)( 95,144)( 98,104)( 99,140)(102,132)
        (103,137)(107,134)(108,133)(110,116)(111,148)(112,142)(114,119)(115,154)(118,123)(121,127)(122,155)(125,131)
        (126,158)(129,146)(130,159)(136,141)(139,145)(143,152)(147,153)(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, 24)(  4,  9)(  6, 17)(  7, 23)(  8, 14)( 10, 20)( 11, 19)( 12, 18)( 15, 32)
        ( 16, 28)( 21, 27)( 22, 33)( 25, 31)( 26, 40)( 29, 36)( 30, 44)( 34, 43)( 35, 37)( 38, 52)( 39, 48)( 41, 47)
        ( 42, 53)( 45, 51)( 46, 60)( 49, 56)( 50, 64)( 54, 63)( 55, 57)( 58, 72)( 59, 68)( 61, 67)( 62, 73)( 65, 71)
        ( 66, 80)( 69, 76)( 70, 84)( 74, 83)( 75, 77)( 78, 92)( 79, 88)( 81, 87)( 82, 93)( 85, 91)( 86,100)( 89, 96)
        ( 90,104)( 94,103)( 95, 97)( 98,112)( 99,108)(101,107)(102,113)(105,111)(106,120)(109,116)(110,124)(114,123)
        (115,117)(118,132)(119,128)(121,127)(122,133)(125,131)(126,140)(129,136)(130,144)(134,143)(135,137)(138,152)
        (139,148)(141,147)(142,153)(145,151)(146,160)(149,158)(150,156)(154,159)(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, 27)(  4,  9)(  6, 20)(  7, 26)(  8, 16)( 10, 23)( 11, 22)( 12, 21)( 14, 19)
        ( 15, 31)( 17, 35)( 18, 40)( 24, 30)( 25, 36)( 28, 34)( 29, 47)( 32, 39)( 33, 51)( 37, 50)( 38, 43)( 41, 46)
        ( 42, 55)( 44, 59)( 45, 64)( 48, 54)( 49, 60)( 52, 58)( 53, 71)( 56, 63)( 57, 75)( 61, 74)( 62, 67)( 65, 70)
        ( 66, 79)( 68, 83)( 69, 88)( 72, 78)( 73, 84)( 76, 82)( 77, 95)( 80, 87)( 81, 99)( 85, 98)( 86, 91)( 89, 94)
        ( 90,103)( 92,107)( 93,112)( 96,102)( 97,108)(100,106)(101,119)(104,111)(105,123)(109,122)(110,115)(113,118)
        (114,127)(116,131)(117,136)(120,126)(121,132)(124,130)(125,143)(128,135)(129,147)(133,146)(134,139)(137,142)
        (138,151)(140,145)(141,159)(144,150)(148,154)(149,160)(152,158)(153,156)(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, 27)(  8, 17)( 10, 24)( 11, 23)( 12, 22)( 14, 20)
        ( 15, 44)( 16, 32)( 18, 36)( 19, 48)( 25, 31)( 26, 37)( 29, 35)( 30, 56)( 33, 40)( 34, 60)( 38, 59)( 39, 52)
        ( 41, 47)( 42, 76)( 43, 64)( 45, 51)( 46, 80)( 49, 55)( 50, 84)( 53, 68)( 54, 88)( 57, 63)( 58, 69)( 61, 67)
        ( 62, 96)( 65, 72)( 66,100)( 70, 99)( 71, 92)( 73, 79)( 74,116)( 75,104)( 77, 83)( 78,120)( 81, 87)( 82,124)
        ( 85, 91)( 86,125)( 89, 95)( 90,128)( 93,108)( 94,131)( 97,103)( 98,109)(101,107)(102,139)(105,112)(106,143)
        (110,142)(111,135)(113,119)(114,154)(115,147)(117,123)(118,137)(121,127)(122,133)(126,130)(129,134)(132,138)
        (136,151)(140,146)(141,152)(144,150)(145,160)(148,158)(149,156)(153,159)(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, 25)(  4,  9)(  6, 19)(  7, 24)(  8, 16)( 10, 21)( 11, 20)( 13, 18)( 14, 41)
        ( 15, 29)( 17, 33)( 22, 28)( 23, 34)( 26, 32)( 27, 45)( 30, 37)( 31, 49)( 35, 48)( 36, 42)( 38, 44)( 39, 65)
        ( 40, 53)( 43, 57)( 46, 52)( 47, 58)( 50, 56)( 51, 69)( 54, 61)( 55, 73)( 59, 72)( 60, 66)( 62, 68)( 63, 89)
        ( 64, 77)( 67, 81)( 70, 76)( 71, 82)( 74, 80)( 75, 93)( 78, 85)( 79, 97)( 83, 96)( 84, 90)( 86, 92)( 87,113)
        ( 88,101)( 91,105)( 94,100)( 95,106)( 98,104)( 99,117)(102,109)(103,121)(107,120)(108,114)(110,116)(111,137)
        (112,125)(115,129)(118,124)(119,130)(122,128)(123,141)(126,133)(127,145)(131,144)(132,138)(134,140)(135,156)
        (136,149)(139,153)(142,148)(143,154)(146,152)(147,160)(150,158)(151,157)(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,  5)(  2, 12)(  3, 26)(  4,  9)(  6, 20)(  7, 25)(  8, 16)( 10, 22)( 11, 21)( 13, 19)( 14, 41)
        ( 15, 29)( 17, 33)( 18, 45)( 23, 28)( 24, 34)( 27, 32)( 30, 37)( 31, 35)( 36, 49)( 38, 44)( 39, 57)( 40, 50)
        ( 42, 48)( 43, 61)( 46, 52)( 47, 65)( 51, 53)( 54, 60)( 55, 73)( 56, 66)( 58, 64)( 59, 77)( 62, 68)( 63, 81)
        ( 67, 69)( 70, 76)( 71, 89)( 72, 82)( 74, 80)( 75, 93)( 78, 84)( 79, 97)( 83, 85)( 86, 92)( 87,105)( 88, 98)
        ( 90, 96)( 91,109)( 94,100)( 95,113)( 99,101)(102,108)(103,121)(104,114)(106,112)(107,125)(110,116)(111,129)
        (115,117)(118,124)(119,137)(120,130)(122,128)(123,141)(126,132)(127,145)(131,133)(134,140)(135,153)(136,146)
        (138,144)(139,157)(142,148)(143,152)(147,149)(150,156)(151,158)(154,160)(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, 12)(  3, 26)(  4,  9)(  6, 20)(  7, 25)(  8, 16)( 10, 22)( 11, 21)( 13, 19)( 14, 42)
        ( 15, 30)( 17, 34)( 18, 46)( 23, 29)( 24, 35)( 27, 33)( 28, 54)( 31, 38)( 32, 58)( 36, 57)( 37, 50)( 39, 45)
        ( 40, 74)( 41, 62)( 43, 49)( 44, 78)( 47, 53)( 48, 82)( 51, 66)( 52, 86)( 55, 61)( 56, 67)( 59, 65)( 60, 94)
        ( 63, 70)( 64, 98)( 68, 97)( 69, 90)( 71, 77)( 72,114)( 73,102)( 75, 81)( 76,118)( 79, 85)( 80,122)( 83, 89)
        ( 84,126)( 87, 93)( 88,129)( 91,106)( 92,133)( 95,101)( 96,107)( 99,105)(100,141)(103,110)(104,145)(108,144)
        (109,137)(111,117)(112,156)(113,149)(115,121)(116,139)(119,125)(120,135)(123,128)(124,131)(127,132)(130,136)
        (134,140)(138,153)(142,148)(143,154)(146,152)(147,160)(150,158)(151,157)(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,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 12)(  7, 25)(  8, 17)( 11, 16)( 14, 20)( 15, 26)( 18, 21)
        ( 19, 29)( 22, 28)( 23, 41)( 24, 33)( 27, 32)( 30, 36)( 31, 42)( 34, 37)( 35, 45)( 38, 44)( 39, 57)( 40, 49)
        ( 43, 48)( 46, 52)( 47, 58)( 50, 53)( 51, 61)( 54, 60)( 55, 73)( 56, 65)( 59, 64)( 62, 68)( 63, 74)( 66, 69)
        ( 67, 77)( 70, 76)( 71, 89)( 72, 81)( 75, 80)( 78, 84)( 79, 90)( 82, 85)( 83, 93)( 86, 92)( 87,105)( 88, 97)
        ( 91, 96)( 94,100)( 95,106)( 98,101)( 99,109)(102,108)(103,121)(104,113)(107,112)(110,116)(111,122)(114,117)
        (115,125)(118,124)(119,137)(120,129)(123,128)(126,132)(127,138)(130,133)(131,141)(134,140)(135,152)(136,145)
        (139,144)(142,148)(143,153)(146,149)(147,156)(150,155)(151,160)(154,158)(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, 10)(  4,  9)(  6, 12)(  7, 24)(  8, 17)( 11, 21)( 14, 20)( 15, 29)( 16, 22)
        ( 18, 25)( 19, 33)( 23, 26)( 27, 32)( 28, 37)( 30, 36)( 31, 42)( 34, 40)( 35, 45)( 38, 41)( 39, 49)( 43, 48)
        ( 44, 53)( 46, 52)( 47, 58)( 50, 56)( 51, 61)( 54, 57)( 55, 65)( 59, 64)( 60, 69)( 62, 68)( 63, 74)( 66, 72)
        ( 67, 77)( 70, 73)( 71, 81)( 75, 80)( 76, 85)( 78, 84)( 79, 90)( 82, 88)( 83, 93)( 86, 89)( 87, 97)( 91, 96)
        ( 92,101)( 94,100)( 95,106)( 98,104)( 99,109)(102,105)(103,113)(107,112)(108,117)(110,116)(111,122)(114,120)
        (115,125)(118,121)(119,129)(123,128)(124,133)(126,132)(127,138)(130,136)(131,141)(134,137)(135,145)(139,144)
        (140,149)(142,148)(143,154)(146,152)(147,156)(150,153)(151,160)(155,158)(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, 10)(  4,  9)(  6, 21)(  7, 32)(  8, 17)( 11, 24)( 12, 22)( 14, 20)( 15, 43)
        ( 16, 25)( 18, 28)( 19, 47)( 23, 36)( 26, 39)( 27, 37)( 29, 35)( 30, 59)( 31, 51)( 33, 38)( 34, 42)( 40, 46)
        ( 41, 60)( 44, 50)( 45, 63)( 48, 54)( 49, 67)( 52, 55)( 53, 71)( 56, 62)( 57, 83)( 58, 75)( 61, 66)( 64, 70)
        ( 65, 84)( 68, 74)( 69, 87)( 72, 78)( 73, 91)( 76, 79)( 77, 95)( 80, 86)( 81,107)( 82, 99)( 85, 90)( 88, 94)
        ( 89,108)( 92, 98)( 93,111)( 96,102)( 97,115)(100,103)(101,119)(104,110)(105,131)(106,123)(109,114)(112,118)
        (113,132)(116,122)(117,135)(120,126)(121,139)(124,127)(125,143)(128,134)(129,153)(130,147)(133,138)(136,142)
        (137,154)(140,146)(141,157)(144,150)(145,158)(148,151)(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, 10)(  4,  9)(  6, 21)(  7, 32)(  8, 17)( 11, 24)( 12, 22)( 14, 20)( 15, 43)
        ( 16, 25)( 18, 28)( 19, 47)( 23, 36)( 26, 39)( 27, 37)( 29, 35)( 30, 59)( 31, 51)( 33, 38)( 34, 42)( 40, 46)
        ( 41, 60)( 44, 50)( 45, 63)( 48, 54)( 49, 67)( 52, 55)( 53, 71)( 56, 62)( 57, 83)( 58, 75)( 61, 66)( 64, 70)
        ( 65, 84)( 68, 74)( 69, 87)( 72, 78)( 73, 91)( 76, 79)( 77, 95)( 80, 86)( 81,107)( 82, 99)( 85, 90)( 88, 94)
        ( 89,108)( 92, 98)( 93,111)( 96,102)( 97,115)(100,103)(101,119)(104,110)(105,131)(106,123)(109,114)(112,118)
        (113,132)(116,122)(117,135)(120,126)(121,139)(124,127)(125,143)(128,134)(129,152)(130,147)(133,138)(136,142)
        (137,153)(140,146)(141,155)(144,150)(145,160)(148,151)(149,157)(154,158)(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, 10)(  4,  9)(  6, 20)(  7, 32)(  8, 17)( 11, 24)( 12, 21)( 14, 19)( 15, 48)
        ( 16, 25)( 18, 28)( 22, 40)( 23, 36)( 26, 44)( 27, 41)( 29, 35)( 30, 64)( 31, 49)( 33, 39)( 34, 68)( 37, 52)
        ( 38, 72)( 42, 56)( 43, 53)( 45, 51)( 46, 88)( 47, 57)( 50, 60)( 54, 80)( 55, 76)( 58, 84)( 59, 81)( 61, 67)
        ( 62,104)( 63, 89)( 65, 71)( 66,108)( 69, 75)( 70,112)( 73, 79)( 74,116)( 77, 92)( 78,120)( 82, 96)( 83, 93)
        ( 85, 91)( 86,136)( 87, 97)( 90,100)( 94,128)( 95,124)( 98,132)( 99,129)(101,107)(102,150)(103,137)(105,111)
        (106,154)(109,115)(110,155)(113,119)(114,152)(117,123)(118,148)(121,127)(122,157)(125,140)(126,145)(130,142)
        (131,141)(133,139)(134,159)(135,143)(138,146)(144,158)(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, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 72)( 32, 57)( 34, 40)( 35, 73)
        ( 38, 60)( 39, 76)( 43, 64)( 44, 61)( 46, 52)( 47, 92)( 48, 65)( 50, 56)( 51, 96)( 54, 59)( 55,100)( 58, 68)
        ( 62, 84)( 63, 80)( 66, 88)( 67, 85)( 69, 75)( 70,116)( 71,101)( 74, 79)( 77, 83)( 78,117)( 81,104)( 82,120)
        ( 86,108)( 87,105)( 89, 95)( 90,136)( 91,109)( 93, 99)( 94,139)( 97,103)( 98,143)(102,112)(106,128)(107,124)
        (110,132)(111,129)(113,119)(114,157)(115,144)(118,123)(121,127)(122,158)(125,147)(126,152)(130,149)(131,148)
        (133,138)(134,155)(135,150)(137,142)(140,146)(141,156)(145,153)(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, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 74)
        ( 38, 61)( 39, 77)( 43, 65)( 44, 62)( 46, 52)( 47, 93)( 48, 66)( 50, 56)( 51, 97)( 54, 60)( 55, 98)( 58, 69)
        ( 59,101)( 63, 85)( 64, 81)( 67, 89)( 68, 86)( 70, 76)( 71,120)( 72,105)( 75, 80)( 78, 84)( 79,121)( 82,109)
        ( 83,124)( 87,113)( 88,110)( 90, 96)( 91,140)( 92,114)( 94,100)( 95,143)( 99,104)(102,108)(103,144)(106,117)
        (107,147)(111,132)(112,128)(115,136)(116,133)(118,123)(119,151)(122,127)(125,131)(126,152)(129,155)(130,160)
        (134,157)(135,156)(137,142)(138,149)(139,158)(141,146)(145,150)(148,154)(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, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 72)( 32, 57)( 34, 40)( 35, 76)
        ( 38, 61)( 39, 80)( 43, 65)( 44, 62)( 46, 52)( 47, 96)( 48, 66)( 50, 56)( 51,100)( 54, 60)( 55,104)( 58, 69)
        ( 59,108)( 63, 88)( 64, 84)( 67, 92)( 68, 89)( 70, 75)( 71,112)( 73, 79)( 74,120)( 77, 83)( 78,123)( 81, 87)
        ( 82,127)( 85, 91)( 86,118)( 90,115)( 93, 99)( 94,131)( 95,116)( 97,103)( 98,135)(101,107)(102,139)(105,111)
        (106,143)(109,114)(110,147)(113,119)(117,128)(121,126)(122,148)(124,130)(125,152)(129,134)(132,138)(133,153)
        (136,142)(137,155)(140,146)(141,160)(144,150)(145,157)(149,151)(154,158)(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, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 72)( 32, 57)( 34, 40)( 35, 76)
        ( 38, 61)( 39, 80)( 43, 65)( 44, 62)( 46, 52)( 47, 96)( 48, 66)( 50, 56)( 51,100)( 54, 60)( 55,104)( 58, 69)
        ( 59,108)( 63, 88)( 64, 84)( 67, 92)( 68, 89)( 70, 75)( 71,112)( 73, 79)( 74,122)( 77, 83)( 78,125)( 81, 87)
        ( 82,129)( 85,115)( 86,120)( 90,117)( 91,116)( 93, 99)( 94,133)( 95,118)( 97,103)( 98,137)(101,107)(102,141)
        (105,111)(106,145)(109,114)(110,149)(113,121)(119,130)(123,128)(124,150)(126,132)(127,154)(131,136)(134,140)
        (135,155)(138,144)(139,157)(142,148)(143,158)(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,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 26)(  8, 17)( 11, 23)( 12, 22)( 14, 20)( 15, 31)
        ( 16, 24)( 18, 27)( 19, 35)( 25, 28)( 29, 34)( 30, 39)( 32, 38)( 33, 44)( 36, 42)( 37, 47)( 40, 43)( 41, 51)
        ( 45, 50)( 46, 55)( 48, 54)( 49, 60)( 52, 58)( 53, 63)( 56, 59)( 57, 67)( 61, 66)( 62, 71)( 64, 70)( 65, 76)
        ( 68, 74)( 69, 79)( 72, 75)( 73, 83)( 77, 82)( 78, 87)( 80, 86)( 81, 92)( 84, 90)( 85, 95)( 88, 91)( 89, 99)
        ( 93, 98)( 94,103)( 96,102)( 97,108)(100,106)(101,111)(104,107)(105,115)(109,114)(110,119)(112,118)(113,124)
        (116,122)(117,127)(120,123)(121,131)(125,130)(126,135)(128,134)(129,140)(132,138)(133,143)(136,139)(137,147)
        (141,146)(142,151)(144,150)(145,156)(148,154)(149,158)(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, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 30)(  8, 17)( 10, 25)( 11, 41)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 46)( 23, 37)( 24, 33)( 27, 45)( 28, 42)( 31, 36)( 32, 49)( 34, 53)( 35, 62)( 38, 44)
        ( 39, 73)( 40, 54)( 43, 57)( 47, 52)( 48, 58)( 50, 61)( 51, 78)( 55, 69)( 56, 65)( 59, 77)( 60, 74)( 63, 68)
        ( 64, 81)( 66, 85)( 67, 94)( 70, 76)( 71,105)( 72, 86)( 75, 89)( 79, 84)( 80, 90)( 82, 93)( 83,110)( 87,101)
        ( 88, 97)( 91,109)( 92,106)( 95,100)( 96,113)( 98,117)( 99,126)(102,108)(103,136)(104,118)(107,121)(111,116)
        (112,122)(114,125)(115,141)(119,133)(120,129)(123,140)(124,137)(127,132)(128,144)(130,147)(131,156)(134,139)
        (135,148)(138,151)(142,146)(143,152)(145,155)(149,154)(150,160)(153,158)(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, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 30)(  8, 17)( 10, 25)( 11, 41)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 50)( 23, 37)( 24, 33)( 27, 49)( 28, 45)( 31, 36)( 32, 53)( 34, 57)( 35, 66)( 38, 44)
        ( 39, 77)( 40, 58)( 42, 48)( 43, 81)( 46, 61)( 47, 85)( 51, 56)( 52, 62)( 54, 65)( 55, 94)( 59, 73)( 60, 69)
        ( 63, 93)( 64, 89)( 67, 72)( 68, 97)( 70,101)( 71,110)( 74, 80)( 75,121)( 76,102)( 78, 84)( 79,125)( 82, 88)
        ( 83,128)( 86, 92)( 87,129)( 90,105)( 91,132)( 95,100)( 96,106)( 98,109)( 99,141)(103,117)(104,113)(107,140)
        (108,136)(111,116)(112,144)(114,147)(115,156)(118,124)(119,138)(120,148)(122,127)(123,134)(126,131)(130,135)
        (133,139)(137,151)(142,146)(143,152)(145,155)(149,154)(150,160)(153,158)(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, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 32)(  8, 17)( 10, 25)( 11, 44)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 40)( 24, 36)( 27, 52)( 28, 48)( 30, 35)( 31, 56)( 33, 39)( 34, 69)( 37, 60)
        ( 38, 72)( 41, 47)( 42, 84)( 43, 61)( 45, 51)( 46, 88)( 49, 64)( 50, 89)( 54, 59)( 55, 65)( 57, 68)( 58, 97)
        ( 62, 80)( 63, 76)( 66, 96)( 67, 92)( 70, 75)( 71,100)( 73, 79)( 74,113)( 77,104)( 78,116)( 81, 87)( 82,128)
        ( 83,105)( 85, 91)( 86,131)( 90, 95)( 93,108)( 94,132)( 98,103)( 99,109)(101,112)(102,140)(106,124)(107,120)
        (110,139)(111,135)(114,119)(115,143)(117,123)(118,144)(121,147)(122,155)(125,130)(126,137)(127,148)(129,134)
        (133,138)(136,151)(141,146)(142,152)(145,158)(149,154)(150,160)(153,157)(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, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 54)( 23, 41)( 24, 37)( 27, 53)( 28, 49)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 77)
        ( 38, 61)( 39, 81)( 42, 48)( 43, 93)( 44, 62)( 46, 52)( 47, 97)( 50, 65)( 51,101)( 55, 60)( 56, 66)( 58, 69)
        ( 59,110)( 63, 89)( 64, 85)( 67,109)( 68,105)( 70, 76)( 71,126)( 72,113)( 74, 80)( 75,128)( 78, 84)( 79,132)
        ( 82, 88)( 83,136)( 86,117)( 87,141)( 90, 96)( 91,146)( 92,118)( 94,100)( 95,150)( 98,104)( 99,154)(102,108)
        (103,155)(106,121)(107,152)(111,116)(112,122)(114,125)(115,158)(119,142)(120,138)(123,157)(124,148)(127,131)
        (129,135)(130,159)(133,139)(134,145)(137,140)(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, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 54)( 23, 41)( 24, 37)( 27, 53)( 28, 49)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 77)
        ( 38, 61)( 39, 81)( 42, 48)( 43, 93)( 44, 62)( 46, 52)( 47, 97)( 50, 65)( 51,101)( 55, 60)( 56, 66)( 58, 69)
        ( 59,110)( 63, 89)( 64, 85)( 67,109)( 68,105)( 70, 76)( 71,129)( 72,113)( 74, 80)( 75,134)( 78, 84)( 79,131)
        ( 82, 88)( 83,127)( 86,117)( 87,135)( 90, 96)( 91,146)( 92,118)( 94,100)( 95,150)( 98,104)( 99,151)(102,108)
        (103,152)(106,121)(107,148)(111,116)(112,122)(114,125)(115,155)(119,142)(120,139)(123,154)(124,144)(126,132)
        (128,138)(130,133)(136,141)(137,156)(140,158)(143,149)(145,159)(147,153)(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, 14)(  3, 23)(  4, 10)(  6, 13)(  7, 25)(  8, 18)(  9, 11)( 12, 22)( 15, 21)( 16, 34)
        ( 17, 26)( 19, 28)( 20, 38)( 24, 29)( 27, 30)( 31, 37)( 32, 46)( 33, 39)( 35, 41)( 36, 50)( 40, 42)( 43, 49)
        ( 44, 58)( 45, 51)( 47, 53)( 48, 62)( 52, 54)( 55, 61)( 56, 70)( 57, 63)( 59, 65)( 60, 74)( 64, 66)( 67, 73)
        ( 68, 82)( 69, 75)( 71, 77)( 72, 86)( 76, 78)( 79, 85)( 80, 94)( 81, 87)( 83, 89)( 84, 98)( 88, 90)( 91, 97)
        ( 92,106)( 93, 99)( 95,101)( 96,110)(100,102)(103,109)(104,118)(105,111)(107,113)(108,122)(112,114)(115,121)
        (116,130)(117,123)(119,125)(120,134)(124,126)(127,133)(128,142)(129,135)(131,137)(132,146)(136,138)(139,145)
        (140,154)(141,147)(143,149)(144,157)(148,150)(151,156)(152,159)(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, 14)(  3, 23)(  4, 10)(  6, 13)(  7, 25)(  8, 18)(  9, 11)( 12, 22)( 15, 21)( 16, 34)
        ( 17, 26)( 19, 28)( 20, 38)( 24, 29)( 27, 30)( 31, 37)( 32, 46)( 33, 39)( 35, 41)( 36, 50)( 40, 42)( 43, 49)
        ( 44, 58)( 45, 51)( 47, 53)( 48, 62)( 52, 54)( 55, 61)( 56, 70)( 57, 63)( 59, 65)( 60, 74)( 64, 66)( 67, 73)
        ( 68, 82)( 69, 75)( 71, 77)( 72, 86)( 76, 78)( 79, 85)( 80, 94)( 81, 87)( 83, 89)( 84, 98)( 88, 90)( 91, 97)
        ( 92,106)( 93, 99)( 95,101)( 96,110)(100,102)(103,109)(104,118)(105,111)(107,113)(108,122)(112,114)(115,121)
        (116,130)(117,123)(119,125)(120,134)(124,126)(127,133)(128,142)(129,135)(131,137)(132,146)(136,138)(139,145)
        (140,154)(141,147)(143,149)(144,158)(148,150)(151,157)(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, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 31)( 21, 55)( 25, 30)( 26, 43)( 28, 47)( 29, 64)( 32, 38)( 33, 72)( 34, 59)( 36, 42)
        ( 37, 74)( 40, 46)( 41, 78)( 44, 63)( 45, 82)( 48, 54)( 49, 94)( 50, 67)( 52, 58)( 53, 98)( 56, 62)( 57,102)
        ( 60, 71)( 61,106)( 65, 70)( 66, 86)( 68, 90)( 69,111)( 73, 77)( 75, 81)( 76,107)( 79, 85)( 80,118)( 83, 89)
        ( 84,122)( 87,110)( 88,126)( 91, 97)( 92,137)( 93,114)( 95,101)( 96,141)( 99,105)(100,145)(103,109)(104,149)
        (108,121)(112,117)(113,130)(115,133)(116,154)(119,125)(120,150)(123,129)(124,159)(127,132)(128,156)(131,153)
        (134,140)(135,147)(136,157)(138,144)(139,143)(142,148)(146,152)(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,  5)(  2, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 31)( 21, 55)( 25, 30)( 26, 43)( 28, 47)( 29, 64)( 32, 38)( 33, 75)( 34, 59)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 63)( 45, 87)( 48, 54)( 49, 94)( 50, 67)( 52, 58)( 53, 98)( 56, 62)( 57,102)
        ( 60, 71)( 61,106)( 65, 70)( 66, 88)( 68, 90)( 69, 85)( 72, 78)( 73,118)( 74,110)( 76, 82)( 77,122)( 80, 86)
        ( 81, 93)( 84, 89)( 91, 97)( 92,123)( 95,101)( 96,126)( 99,105)(100,130)(103,109)(104,134)(107,113)(108,138)
        (111,114)(112,142)(115,121)(116,147)(117,146)(119,125)(120,151)(124,129)(127,133)(128,152)(131,137)(132,154)
        (135,141)(136,158)(139,145)(140,159)(143,149)(144,156)(148,150)(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, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 31)( 21, 55)( 25, 30)( 26, 43)( 28, 47)( 29, 64)( 32, 38)( 33, 75)( 34, 59)( 36, 42)
        ( 37, 78)( 40, 46)( 41, 82)( 44, 63)( 45, 86)( 48, 54)( 49, 98)( 50, 67)( 52, 58)( 53,102)( 56, 62)( 57,103)
        ( 60, 71)( 61,106)( 65, 70)( 66, 90)( 68, 94)( 69,115)( 72, 77)( 73,126)( 74,110)( 76, 81)( 79, 85)( 80,127)
        ( 83, 89)( 84,130)( 87, 93)( 88,134)( 91,114)( 92,138)( 95,101)( 96,145)( 97,118)( 99,105)(100,149)(104,109)
        (107,113)(108,150)(111,122)(112,153)(116,121)(117,139)(119,141)(120,136)(123,129)(124,143)(125,157)(128,133)
        (131,137)(132,144)(135,140)(142,148)(146,152)(147,158)(151,156)(154,160)(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, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 31)( 21, 55)( 25, 30)( 26, 43)( 28, 47)( 29, 64)( 32, 38)( 33, 75)( 34, 59)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 63)( 45, 87)( 48, 54)( 49, 99)( 50, 67)( 52, 58)( 53,103)( 56, 62)( 57,106)
        ( 60, 71)( 61,110)( 65, 70)( 66, 91)( 68, 95)( 69,119)( 72, 78)( 73,130)( 74,114)( 76, 82)( 77,134)( 80, 86)
        ( 81,138)( 84, 90)( 85,142)( 88, 94)( 89,146)( 92,118)( 93,150)( 96,102)( 97,112)( 98,122)(100,105)(101,108)
        (104,109)(107,113)(111,117)(115,126)(116,123)(120,125)(121,154)(124,160)(127,133)(128,148)(129,157)(131,137)
        (132,144)(135,141)(136,140)(139,145)(143,149)(147,153)(151,156)(152,158)(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,  3)(  2, 12)(  4, 10)(  5, 30)(  6, 16)(  7, 11)(  8, 18)(  9, 34)( 13, 15)( 14, 22)( 17, 26)
        ( 19, 25)( 20, 46)( 21, 38)( 23, 29)( 24, 50)( 27, 33)( 28, 54)( 31, 37)( 32, 55)( 35, 41)( 36, 58)( 39, 42)
        ( 40, 62)( 43, 49)( 44, 74)( 45, 66)( 47, 53)( 48, 78)( 51, 57)( 52, 82)( 56, 61)( 59, 65)( 60, 83)( 63, 69)
        ( 64, 86)( 67, 70)( 68, 90)( 71, 77)( 72,102)( 73, 94)( 75, 81)( 76,106)( 79, 85)( 80,110)( 84, 89)( 87, 93)
        ( 88,111)( 91, 97)( 92,114)( 95, 98)( 96,118)( 99,105)(100,130)(101,122)(103,109)(104,134)(107,113)(108,138)
        (112,117)(115,121)(116,139)(119,125)(120,142)(123,126)(124,146)(127,133)(128,151)(129,150)(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,  3)(  2, 12)(  4, 10)(  5, 31)(  6, 16)(  7, 11)(  8, 19)(  9, 32)( 13, 15)( 14, 20)( 17, 27)
        ( 18, 23)( 21, 26)( 22, 35)( 24, 39)( 25, 44)( 28, 34)( 29, 55)( 30, 40)( 33, 38)( 36, 43)( 37, 56)( 41, 51)
        ( 42, 47)( 45, 50)( 46, 59)( 48, 63)( 49, 68)( 52, 58)( 53, 79)( 54, 64)( 57, 62)( 60, 67)( 61, 80)( 65, 75)
        ( 66, 71)( 69, 74)( 70, 83)( 72, 87)( 73, 92)( 76, 82)( 77,103)( 78, 88)( 81, 86)( 84, 91)( 85,104)( 89, 99)
        ( 90, 95)( 93, 98)( 94,107)( 96,111)( 97,116)(100,106)(101,127)(102,112)(105,110)(108,115)(109,128)(113,123)
        (114,119)(117,122)(118,131)(120,135)(121,140)(124,130)(125,149)(126,136)(129,134)(132,139)(133,150)(137,146)
        (138,143)(141,145)(142,153)(144,157)(147,152)(148,158)(151,156)(154,160)(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,  3)(  2, 12)(  4, 10)(  5, 31)(  6, 16)(  7, 11)(  8, 19)(  9, 32)( 13, 15)( 14, 20)( 17, 27)
        ( 18, 23)( 21, 26)( 22, 35)( 24, 39)( 25, 44)( 28, 34)( 29, 55)( 30, 40)( 33, 38)( 36, 43)( 37, 56)( 41, 51)
        ( 42, 47)( 45, 50)( 46, 59)( 48, 63)( 49, 68)( 52, 58)( 53, 79)( 54, 64)( 57, 62)( 60, 67)( 61, 80)( 65, 75)
        ( 66, 71)( 69, 74)( 70, 83)( 72, 87)( 73, 92)( 76, 82)( 77,103)( 78, 88)( 81, 86)( 84, 91)( 85,104)( 89, 99)
        ( 90, 95)( 93, 98)( 94,107)( 96,111)( 97,116)(100,106)(101,127)(102,112)(105,110)(108,115)(109,128)(113,123)
        (114,119)(117,122)(118,131)(120,135)(121,140)(124,130)(125,150)(126,136)(129,134)(132,139)(133,151)(137,147)
        (138,143)(141,146)(142,154)(144,158)(145,157)(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,  3)(  2, 12)(  4, 10)(  5, 35)(  6, 16)(  7, 11)(  8, 19)(  9, 39)( 13, 15)( 14, 23)( 17, 31)
        ( 18, 27)( 20, 26)( 21, 54)( 22, 43)( 24, 30)( 25, 58)( 28, 47)( 29, 62)( 32, 38)( 33, 74)( 34, 48)( 36, 42)
        ( 37, 78)( 40, 46)( 41, 82)( 44, 51)( 45, 86)( 49, 70)( 50, 66)( 52, 57)( 53, 89)( 55, 61)( 56, 98)( 59, 65)
        ( 60,101)( 63, 69)( 64,105)( 67, 93)( 68,109)( 71, 77)( 72,114)( 73, 94)( 75, 81)( 76,117)( 79, 85)( 80,121)
        ( 83, 88)( 84,125)( 87, 92)( 90, 97)( 91,126)( 95,113)( 96,110)( 99,104)(100,129)(102,108)(103,138)(106,112)
        (107,141)(111,133)(115,120)(116,134)(118,124)(119,146)(122,128)(123,149)(127,132)(130,137)(131,150)(135,145)
        (136,142)(139,144)(140,153)(143,157)(147,152)(148,158)(151,156)(154,160)(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,  3)(  2, 12)(  4, 10)(  5, 35)(  6, 16)(  7, 11)(  8, 19)(  9, 39)( 13, 15)( 14, 23)( 17, 31)
        ( 18, 27)( 20, 26)( 21, 55)( 22, 43)( 24, 30)( 25, 59)( 28, 47)( 29, 63)( 32, 38)( 33, 74)( 34, 48)( 36, 42)
        ( 37, 78)( 40, 46)( 41, 82)( 44, 51)( 45, 86)( 49, 71)( 50, 67)( 52, 58)( 53,101)( 54, 90)( 56, 62)( 57,105)
        ( 60, 66)( 61,109)( 64, 70)( 65,113)( 68, 93)( 69,114)( 72, 77)( 73, 94)( 75, 81)( 76,122)( 79, 85)( 80,125)
        ( 83, 89)( 84,129)( 87, 92)( 88,100)( 91, 97)( 95,121)( 96,117)( 98,104)( 99,130)(102,108)(103,137)(106,112)
        (107,141)(110,116)(111,145)(115,120)(118,133)(119,146)(123,128)(124,134)(126,132)(127,154)(131,140)(135,153)
        (136,149)(138,144)(139,155)(142,148)(143,160)(147,152)(150,158)(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,  3)(  2,159)(  4,155)(  5,160)(  6, 10)(  7, 12)(  8, 17)(  9, 14)( 11, 13)( 15, 21)( 16, 18)
        ( 19, 25)( 20, 22)( 23, 29)( 24, 26)( 27, 33)( 28, 30)( 31, 37)( 32, 34)( 35, 41)( 36, 38)( 39, 45)( 40, 42)
        ( 43, 49)( 44, 46)( 47, 53)( 48, 50)( 51, 57)( 52, 54)( 55, 61)( 56, 58)( 59, 65)( 60, 62)( 63, 69)( 64, 66)
        ( 67, 73)( 68, 70)( 71, 77)( 72, 74)( 75, 81)( 76, 78)( 79, 85)( 80, 82)( 83, 89)( 84, 86)( 87, 93)( 88, 90)
        ( 91, 97)( 92, 94)( 95,101)( 96, 98)( 99,105)(100,102)(103,109)(104,106)(107,113)(108,110)(111,117)(112,114)
        (115,121)(116,118)(119,125)(120,122)(123,129)(124,126)(127,133)(128,130)(131,137)(132,134)(135,141)(136,138)
        (139,145)(140,142)(143,149)(144,146)(147,153)(148,150)(151,157)(152,154)(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) ) ];
