return [ rec(
      invers := (  1,  5)(  2, 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)( 51,126)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63, 67)( 64, 97)( 66, 72)( 70, 76)( 71, 98)( 74,101)( 75,135)( 79,121)
        ( 80,117)( 82, 88)( 83,145)( 84,131)( 86, 92)( 87,149)( 90, 96)( 91,153)( 94,100)( 95,157)( 99,138)(102,108)
        (103,159)(104,140)(106,112)(107,155)(110,116)(111,151)(114,120)(115,147)(118,129)(119,144)(122,125)(124,130)
        (128,134)(132,142)(133,141)(136,139)(137,158)(143,148)(146,152)(150,156)(154,160),
      nbP := 160,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156)(157,158,159,160) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 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, 72)( 45, 71)( 48, 54)( 49, 65)( 50, 73)( 52, 58)( 53, 61)( 56, 75)
        ( 57, 92)( 60, 66)( 62, 91)( 64, 70)( 69, 74)( 76, 82)( 77,103)( 78, 95)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 88, 94)( 89,115)( 93, 98)( 96, 99)( 97,116)(100,106)(101,127)(102,119)(104,110)(105,131)(108,114)(109,135)
        (112,118)(113,139)(117,122)(120,123)(121,140)(124,130)(125,152)(126,143)(128,134)(129,149)(132,138)(133,153)
        (136,142)(137,157)(141,146)(144,147)(145,158)(148,151)(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, 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, 46)( 24, 45)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 47, 52)( 50, 56)( 51,102)( 54, 73)( 55,105)( 58, 64)
        ( 59,117)( 60, 89)( 62, 68)( 63,121)( 66, 72)( 67,126)( 70, 93)( 71,123)( 74, 80)( 75,131)( 76,109)( 78, 84)
        ( 79,136)( 82, 88)( 83,133)( 86, 92)( 87,129)( 90,113)( 91,137)( 94,100)( 95,145)( 96,119)( 98,104)( 99,149)
        (103,108)(106,112)(107,150)(110,127)(111,153)(114,120)(115,148)(116,141)(118,124)(122,125)(128,134)(130,140)
        (132,135)(138,144)(139,154)(142,158)(143,157)(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, 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, 98)( 50, 56)( 51, 90)( 52, 70)( 54, 60)( 55, 99)
        ( 58, 73)( 59,103)( 62, 68)( 63, 71)( 64, 89)( 67, 93)( 72, 96)( 74, 80)( 75,115)( 76,107)( 78, 84)( 79,119)
        ( 82, 88)( 83,123)( 86, 92)( 87,127)( 91,102)( 95, 97)(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, 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, 70)( 47, 69)( 50, 56)( 51, 97)( 52, 71)( 54, 60)( 55,101)
        ( 58, 73)( 59,105)( 62, 68)( 63, 99)( 64, 89)( 67, 93)( 72, 95)( 74, 80)( 75,117)( 76,109)( 78, 84)( 79,121)
        ( 82, 88)( 83,125)( 86, 92)( 87,129)( 90,103)( 91,133)( 96,100)( 98,104)(102,108)(106,112)(107,134)(110,113)
        (111,137)(114,120)(115,149)(116,141)(118,124)(119,154)(122,128)(123,151)(126,132)(127,147)(130,136)(131,155)
        (135,140)(138,144)(139,156)(142,145)(143,160)(146,152)(148,158)(150,153)(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, 42)(  8, 17)( 10, 25)( 11, 34)( 12, 22)( 14, 20)
        ( 15, 23)( 16, 33)( 18, 38)( 19, 37)( 24, 40)( 26, 32)( 27, 51)( 28, 43)( 30, 36)( 31, 55)( 35, 46)( 39, 41)
        ( 44, 47)( 45, 56)( 48, 54)( 49, 67)( 50, 59)( 52, 58)( 53, 71)( 57, 62)( 60, 63)( 61, 72)( 64, 70)( 65, 83)
        ( 66, 75)( 68, 74)( 69, 87)( 73, 78)( 76, 79)( 77, 88)( 80, 86)( 81, 99)( 82, 91)( 84, 90)( 85,103)( 89, 94)
        ( 92, 95)( 93,104)( 96,102)( 97,115)( 98,107)(100,106)(101,119)(105,110)(108,111)(109,120)(112,118)(113,131)
        (114,123)(116,122)(117,135)(121,126)(124,127)(125,136)(128,134)(129,147)(130,139)(132,138)(133,151)(137,142)
        (140,143)(141,152)(144,150)(145,156)(146,155)(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, 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)(121,156)(124,143)(125,160)(128,134)(129,152)(130,144)
        (133,147)(136,142)(137,145)(138,151)(141,155)(146,158)(149,154)(150,153)(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, 39)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 34)( 18, 35)( 19, 59)( 23, 44)( 24, 43)( 26, 32)( 27, 71)( 28, 51)( 30, 33)( 31, 55)( 36, 42)
        ( 37, 79)( 38, 63)( 40, 46)( 41, 83)( 45, 50)( 48, 54)( 49, 84)( 52, 67)( 53, 87)( 57, 62)( 58, 72)( 60, 66)
        ( 61, 96)( 64, 75)( 65, 99)( 68, 74)( 69,111)( 70, 91)( 73, 95)( 76, 82)( 77,119)( 78,103)( 80, 86)( 81,123)
        ( 85, 90)( 88, 94)( 89,124)( 92,107)( 93,127)( 97,102)( 98,112)(100,106)(101,136)(104,115)(105,139)(108,114)
        (109,147)(110,131)(113,135)(116,122)(117,151)(118,143)(120,126)(121,155)(125,130)(128,134)(129,156)(132,144)
        (133,154)(137,142)(138,148)(140,146)(141,160)(145,150)(149,159)(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, 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)( 65,123)( 66,107)( 69,111)( 72, 78)( 73,131)( 74,112)( 76, 82)( 77,135)( 80, 86)
        ( 81,118)( 84, 90)( 85, 89)( 88,115)( 92, 98)( 93,139)( 94,116)( 96,102)( 97,143)(100,106)(101,147)(104,110)
        (105,152)(108,119)(109,149)(113,127)(114,124)(117,136)(120,126)(121,157)(122,145)(125,153)(128,134)(129,155)
        (130,154)(132,138)(133,159)(137,142)(140,146)(141,160)(144,150)(148,151)(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, 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, 60)( 41, 59)( 44, 50)( 45, 83)( 46, 61)( 48, 54)( 49, 87)( 52, 63)( 53, 91)( 57, 71)( 58, 68)
        ( 62, 80)( 64, 70)( 65,107)( 66, 95)( 69, 99)( 72, 78)( 73,115)( 74,100)( 76, 82)( 77,119)( 81, 86)( 84, 90)
        ( 85,120)( 88, 94)( 89,123)( 92, 98)( 93,127)( 96,103)( 97,131)(101,111)(102,108)(104,110)(105,147)(106,135)
        (109,139)(112,118)(113,153)(114,140)(116,122)(117,157)(121,126)(124,130)(125,158)(128,134)(129,146)(132,138)
        (133,137)(136,143)(141,151)(142,148)(144,150)(145,159)(149,155)(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, 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)( 63,121)( 66, 85)( 67,125)( 71,105)( 72,101)( 75, 80)( 76,106)( 78, 84)( 79,136)
        ( 82,109)( 83,139)( 86, 92)( 87,130)( 88,129)( 90, 96)( 91,148)( 94,100)( 95,145)( 98,104)( 99,141)(102,133)
        (103,138)(107,135)(108,134)(110,116)(111,151)(112,143)(114,120)(115,155)(118,124)(119,160)(122,128)(123,157)
        (126,132)(127,153)(131,147)(137,142)(140,146)(144,149)(150,154)(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, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 30)( 19, 29)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 31, 36)( 32, 50)( 34, 40)( 35, 62)( 38, 53)
        ( 39, 65)( 43, 57)( 44, 54)( 46, 52)( 47, 81)( 48, 58)( 51, 61)( 55, 73)( 56, 69)( 59, 77)( 60, 74)( 63, 68)
        ( 64, 82)( 66, 72)( 67, 94)( 70, 85)( 71, 97)( 75, 89)( 76, 86)( 78, 84)( 79,113)( 80, 90)( 83, 93)( 87,105)
        ( 88,101)( 91,109)( 92,106)( 95,100)( 96,114)( 98,104)( 99,126)(102,117)(103,129)(107,121)(108,118)(110,116)
        (111,145)(112,122)(115,125)(119,137)(120,133)(123,141)(124,138)(127,132)(128,146)(130,136)(131,156)(134,149)
        (135,154)(139,151)(140,150)(142,148)(143,160)(144,152)(147,155)(153,157)(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, 15)(  3,160)(  4, 10)(  6, 14)(  7, 27)(  8, 19)(  9, 11)( 12,159)( 13, 18)( 16, 22)
        ( 17, 28)( 20, 23)( 21, 31)( 24, 30)( 25, 43)( 26, 35)( 29, 34)( 32, 38)( 33, 44)( 36, 39)( 37, 47)( 40, 46)
        ( 41, 59)( 42, 51)( 45, 50)( 48, 54)( 49, 60)( 52, 55)( 53, 63)( 56, 62)( 57, 75)( 58, 67)( 61, 66)( 64, 70)
        ( 65, 76)( 68, 71)( 69, 79)( 72, 78)( 73, 91)( 74, 83)( 77, 82)( 80, 86)( 81, 92)( 84, 87)( 85, 95)( 88, 94)
        ( 89,107)( 90, 99)( 93, 98)( 96,102)( 97,108)(100,103)(101,111)(104,110)(105,123)(106,115)(109,114)(112,118)
        (113,124)(116,119)(117,127)(120,126)(121,139)(122,131)(125,130)(128,134)(129,140)(132,135)(133,143)(136,142)
        (137,155)(138,147)(141,146)(144,150)(145,156)(148,152)(149,151)(153,158)(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,  3)(  2,  4)(  5, 10)(  6,  7)(  8, 11)(  9, 12)( 13, 18)( 14, 15)( 16, 19)( 17, 20)( 21, 26)
        ( 22, 23)( 24, 27)( 25, 28)( 29, 34)( 30, 31)( 32, 35)( 33, 36)( 37, 42)( 38, 39)( 40, 43)( 41, 44)( 45, 50)
        ( 46, 47)( 48, 51)( 49, 52)( 53, 58)( 54, 55)( 56, 59)( 57, 60)( 61, 66)( 62, 63)( 64, 67)( 65, 68)( 69, 74)
        ( 70, 71)( 72, 75)( 73, 76)( 77, 82)( 78, 79)( 80, 83)( 81, 84)( 85, 90)( 86, 87)( 88, 91)( 89, 92)( 93, 98)
        ( 94, 95)( 96, 99)( 97,100)(101,106)(102,103)(104,107)(105,108)(109,114)(110,111)(112,115)(113,116)(117,122)
        (118,119)(120,123)(121,124)(125,130)(126,127)(128,131)(129,132)(133,138)(134,135)(136,139)(137,140)(141,146)
        (142,143)(144,147)(145,148)(149,154)(150,151)(152,155)(153,156)(157,160)(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) ) ];
