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)(133,142)(134,136)(137,139)(140,144)
        (141,143),
      nbP := 144,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 49)
        ( 16, 29)( 18, 33)( 19, 53)( 22, 28)( 23, 43)( 24, 42)( 26, 32)( 27, 39)( 30, 45)( 31, 35)( 34, 40)( 36, 57)
        ( 38, 44)( 46, 52)( 47, 65)( 48, 58)( 50, 56)( 51, 69)( 54, 60)( 55, 73)( 59, 61)( 62, 68)( 63, 81)( 64, 74)
        ( 66, 72)( 67, 85)( 70, 76)( 71, 89)( 75, 77)( 78, 84)( 79, 97)( 80, 90)( 82, 88)( 83,101)( 86, 92)( 87,105)
        ( 91, 93)( 94,100)( 95,113)( 96,106)( 98,104)( 99,117)(102,108)(103,121)(107,109)(110,116)(111,129)(112,122)
        (114,120)(115,133)(118,124)(119,137)(123,125)(126,132)(127,140)(128,138)(130,136)(131,144)(134,139)(135,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142)(143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 32)( 19, 56)( 22, 28)( 23, 68)( 24, 44)( 26, 31)( 27, 72)( 30, 48)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,103)( 51, 73)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 65, 71)( 66,127)( 67, 96)( 69, 75)( 70,131)( 74, 99)( 77, 83)( 78,101)( 79,119)
        ( 81, 87)( 82,133)( 85, 91)( 86,129)( 89, 95)( 90,125)( 93, 98)( 94,136)( 97,123)(100,106)(102,132)(104,110)
        (105,120)(108,114)(109,137)(112,118)(113,141)(116,122)(117,142)(121,140)(124,130)(126,135)(128,134)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 68)( 24, 45)( 26, 32)( 27, 72)( 30, 49)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 61)( 38, 44)( 39, 92)( 42, 48)( 43, 96)( 46, 65)( 47,100)( 50, 56)( 51, 94)( 52, 80)( 54, 60)( 55, 90)
        ( 58, 64)( 59, 87)( 62, 85)( 63, 84)( 66, 71)( 67,104)( 69, 75)( 70,109)( 73, 79)( 74,112)( 77, 83)( 78,116)
        ( 81, 98)( 82,120)( 86, 91)( 89, 95)( 93, 99)( 97,103)(101,107)(102,121)(105,108)(106,124)(110,115)(111,128)
        (113,119)(114,133)(117,123)(118,136)(122,127)(125,131)(126,137)(129,132)(130,140)(134,139)(135,144)(138,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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, 55)
        ( 36, 63)( 38, 44)( 39, 51)( 42, 48)( 43, 81)( 46, 64)( 47, 84)( 50, 56)( 52, 80)( 54, 60)( 58, 62)( 59, 61)
        ( 65, 71)( 66, 95)( 67, 88)( 69, 75)( 70, 99)( 73, 79)( 74,103)( 77, 83)( 78,107)( 82, 87)( 85, 91)( 86,108)
        ( 89, 92)( 90,111)( 93, 98)( 94,115)( 96,102)( 97,120)(100,106)(101,123)(104,110)(105,127)(109,114)(112,118)
        (113,128)(116,119)(117,131)(121,126)(122,135)(124,130)(125,143)(129,134)(132,138)(133,144)(136,142)(137,140)
        (139,141),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 52)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 62)( 24, 44)( 26, 32)( 27, 66)( 30, 48)( 31, 70)( 34, 39)( 35, 54)
        ( 37, 43)( 38, 50)( 41, 47)( 42, 75)( 45, 58)( 46, 78)( 49, 55)( 51, 74)( 53, 56)( 59, 65)( 60, 90)( 61, 82)
        ( 63, 69)( 64, 94)( 67, 73)( 68, 98)( 71, 77)( 72,102)( 76, 81)( 79, 85)( 80,103)( 83, 86)( 84,106)( 87, 93)
        ( 88,118)( 89,110)( 91, 97)( 92,122)( 95,101)( 96,125)( 99,105)(100,129)(104,109)(107,113)(108,130)(111,114)
        (112,133)(115,121)(116,138)(117,137)(119,124)(120,142)(123,128)(126,132)(127,143)(131,136)(134,140)(135,144)
        (139,141),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 15)( 10, 40)( 11, 21)( 13, 19)( 14, 44)
        ( 17, 24)( 18, 48)( 22, 36)( 23, 32)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 56)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 57)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 80)( 59, 76)
        ( 61, 67)( 62,116)( 63,104)( 65, 71)( 66,120)( 69, 75)( 70,115)( 73, 79)( 74,106)( 77,108)( 78,102)( 81, 87)
        ( 82,128)( 83,109)( 85, 91)( 86,132)( 89, 95)( 90,136)( 93, 99)( 94,127)( 97,103)( 98,111)(101,107)(105,112)
        (110,124)(113,119)(114,121)(117,123)(118,122)(125,131)(126,137)(129,135)(130,140)(133,139)(134,144)(138,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 47)( 23, 43)( 25, 31)( 26, 63)( 27, 48)( 29, 35)( 30, 64)( 33, 51)( 34, 67)( 37, 42)
        ( 38, 79)( 39, 52)( 41, 46)( 44, 55)( 45, 80)( 49, 59)( 50, 56)( 53, 75)( 54, 71)( 57, 87)( 58, 83)( 60, 66)
        ( 61,103)( 62, 88)( 65, 70)( 68, 74)( 69,104)( 72, 91)( 73,107)( 76, 82)( 77,119)( 78, 92)( 81, 86)( 84, 95)
        ( 85,120)( 89, 99)( 90, 96)( 93,115)( 94,111)( 97,127)( 98,123)(100,106)(101,141)(102,128)(105,110)(108,114)
        (109,142)(112,131)(113,138)(116,122)(117,133)(118,132)(121,126)(124,135)(125,134)(129,139)(130,136)(137,143)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 92)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 72)( 62,111)( 66, 80)( 67, 76)( 70, 99)( 71, 96)( 74, 79)( 75,115)( 77,119)( 78,128)( 81, 87)
        ( 82, 86)( 83,120)( 85, 91)( 89, 95)( 90,121)( 93, 98)( 94,132)( 97,123)(101,106)(102,124)(104,110)(105,136)
        (108,114)(109,139)(112,118)(113,144)(116,127)(117,141)(122,131)(125,135)(126,133)(129,134)(130,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 99)( 49, 68)( 50,103)( 54, 59)( 55, 69)( 57, 63)
        ( 58,112)( 61, 72)( 62,115)( 66, 92)( 67, 88)( 70,111)( 71,107)( 73, 79)( 74,131)( 75,116)( 77, 83)( 78,136)
        ( 81, 87)( 82,133)( 85, 91)( 86,129)( 89,119)( 90,126)( 93, 98)( 94,141)( 95,120)( 97,102)(100,106)(101,142)
        (104,110)(105,140)(108,123)(109,122)(113,118)(114,124)(117,127)(121,137)(125,130)(128,134)(132,135)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 51)( 27, 48)( 29, 35)( 30, 75)( 31, 59)( 33, 39)( 34, 76)
        ( 37, 63)( 38, 79)( 41, 47)( 42, 91)( 43, 64)( 45, 50)( 46, 95)( 49, 67)( 52, 58)( 53,103)( 54, 68)( 57, 62)
        ( 60, 71)( 61,104)( 65, 87)( 66, 83)( 69, 99)( 70, 96)( 72, 78)( 73,123)( 74,107)( 77, 82)( 80, 86)( 81,124)
        ( 84,111)( 85,127)( 88, 94)( 89,113)( 90,112)( 92, 98)( 93,132)( 97,115)(100,106)(101,139)(102,116)(105,110)
        (108,119)(109,140)(114,131)(117,135)(118,133)(120,126)(121,137)(122,144)(125,130)(128,134)(129,138)(136,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 43)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 75)( 31, 60)( 33, 39)( 34, 79)
        ( 37, 63)( 38, 80)( 41, 46)( 42, 64)( 44, 50)( 45, 88)( 48, 67)( 49, 91)( 52, 58)( 53,103)( 54, 68)( 56, 62)
        ( 57,107)( 61, 71)( 65, 87)( 66, 83)( 69, 99)( 70, 95)( 72, 78)( 73,123)( 74,108)( 76, 82)( 77,127)( 81, 86)
        ( 84,111)( 85,128)( 89, 94)( 90,112)( 92, 98)( 93,136)( 96,115)( 97,139)(100,106)(101,121)(102,116)(104,110)
        (105,144)(109,119)(113,135)(114,131)(117,125)(118,133)(120,126)(122,143)(124,130)(129,134)(132,140)(137,142)
        (138,141),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 61)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 53, 59)( 54,116)( 55, 69)
        ( 57, 63)( 58,120)( 62, 72)( 66, 92)( 67, 88)( 70,112)( 71,108)( 73, 79)( 74,136)( 75,121)( 77, 83)( 78,133)
        ( 81, 87)( 82,137)( 85, 91)( 86,141)( 89,124)( 90,130)( 93, 99)( 94,106)( 95,125)( 97,103)( 98,102)(101,107)
        (105,111)(109,127)(110,126)(113,119)(114,143)(115,128)(117,123)(118,139)(122,131)(129,142)(132,135)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 83)( 41, 47)( 42, 91)( 43, 69)( 45, 51)( 46, 95)( 49, 71)( 50, 99)( 53, 59)( 54,111)( 55, 72)
        ( 57, 63)( 58,115)( 61, 67)( 62,116)( 65, 75)( 66,119)( 70, 87)( 73,107)( 74,103)( 76, 82)( 77,135)( 78,123)
        ( 81, 86)( 84, 90)( 85,136)( 88, 94)( 89,130)( 92, 98)( 93,105)( 96,102)( 97,101)(100,106)(104,127)(108,114)
        (109,133)(110,128)(112,118)(113,139)(117,122)(120,126)(121,140)(124,131)(125,144)(129,137)(132,138)(134,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 47)( 29, 35)( 30, 79)( 31, 63)( 33, 39)( 34, 80)
        ( 37, 67)( 38, 83)( 41, 46)( 42, 95)( 43, 68)( 45, 50)( 48, 71)( 49, 96)( 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)( 77,135)( 78,120)
        ( 81, 86)( 84, 90)( 85,136)( 88,123)( 89,130)( 92, 98)( 93,125)( 94,124)( 97,102)(100,127)(101,126)(104,110)
        (105,133)(106,128)(108,114)(109,139)(112,118)(113,144)(116,122)(117,141)(121,131)(129,137)(132,138)(134,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 95)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,120)( 65, 76)( 66,123)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,113)
        ( 79,127)( 81, 87)( 82,137)( 86, 91)( 89,131)( 90,138)( 93, 98)( 94,132)( 96,102)( 97,140)(100,106)(101,144)
        (104,110)(105,142)(108,135)(109,134)(112,118)(114,136)(116,122)(117,128)(121,126)(124,130)(125,129)(133,139)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,123)( 65, 76)( 66,127)( 70, 92)( 71, 88)( 74,111)( 75,107)( 77, 83)( 78,113)
        ( 79,128)( 81, 87)( 82,137)( 86, 91)( 89,131)( 90,138)( 93, 99)( 94,144)( 95,132)( 97,102)( 98,141)(101,106)
        (104,110)(105,142)(108,135)(109,134)(112,118)(114,136)(116,122)(117,129)(120,126)(121,125)(124,130)(133,139)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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)( 54,116)( 55, 73)
        ( 57, 63)( 58,120)( 61, 67)( 62,124)( 65, 76)( 66,128)( 70, 96)( 71, 92)( 74,112)( 75, 94)( 77, 83)( 78,122)
        ( 79,132)( 81, 87)( 82,118)( 85, 91)( 86,114)( 89, 95)( 90,115)( 93,109)( 97,103)( 98,138)( 99,110)(101,107)
        (102,144)(105,111)(106,141)(113,119)(117,123)(121,127)(125,131)(126,133)(129,135)(130,137)(134,136)(139,143)
        (140,142),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), 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, 78)( 31, 64)( 33, 39)( 34, 82)
        ( 37, 68)( 38, 86)( 41, 47)( 42, 98)( 43, 69)( 45, 51)( 46,102)( 49, 72)( 50,106)( 53, 59)( 54,117)( 55, 73)
        ( 57, 63)( 58,121)( 61, 67)( 62,122)( 65, 76)( 66,125)( 70, 94)( 71, 90)( 74,113)( 75,109)( 77, 81)( 79, 85)
        ( 80,126)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91,129)( 92,136)( 95,101)( 96,100)( 97,130)( 99,105)(103,108)
        (104,131)(107,112)(110,133)(111,132)(114,120)(115,143)(116,134)(118,124)(119,140)(123,128)(127,137)(135,142)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 80)( 31, 63)( 33, 39)( 34, 77)
        ( 37, 67)( 38, 81)( 41, 46)( 42, 68)( 44, 50)( 45, 90)( 48, 71)( 49, 93)( 52, 58)( 53,102)( 54, 72)( 56, 62)
        ( 57,105)( 60, 66)( 61,109)( 64, 75)( 65,113)( 69, 89)( 70, 85)( 73,101)( 74, 97)( 76, 79)( 78, 84)( 82, 88)
        ( 83,114)( 86,117)( 87,125)( 91, 96)( 92,118)( 94,100)( 95,134)( 98,121)( 99,137)(103,108)(104,122)(106,112)
        (107,142)(110,116)(111,143)(115,128)(119,133)(120,129)(123,141)(124,131)(126,132)(127,144)(130,138)(135,140)
        (136,139),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 62,125)( 65, 77)( 66, 76)( 70, 96)( 71, 92)( 74,116)( 75,112)( 78, 83)( 79,126)
        ( 81, 87)( 82,122)( 85, 91)( 86,118)( 89, 95)( 90,134)( 93,128)( 94,135)( 97,103)( 98,139)( 99,129)(101,107)
        (102,144)(105,111)(106,141)(109,115)(110,138)(113,132)(114,131)(117,123)(119,133)(121,127)(130,136)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 25)( 17, 28)( 18, 59)( 22, 40)( 23, 36)( 26, 51)( 27, 48)( 29, 35)( 30, 74)( 31, 64)( 33, 39)( 34, 77)
        ( 37, 65)( 38, 81)( 41, 47)( 42, 93)( 43, 66)( 45, 50)( 46, 97)( 49, 69)( 52, 58)( 53,105)( 54, 70)( 56, 62)
        ( 57,109)( 60, 63)( 61, 73)( 67, 89)( 68, 85)( 71,101)( 72, 98)( 75, 80)( 76,110)( 78, 84)( 79,122)( 82, 88)
        ( 83,125)( 86,113)( 87,129)( 90, 96)( 91,115)( 92,114)( 94,100)( 95,134)( 99,117)(102,108)(103,141)(104,118)
        (106,112)(107,142)(111,121)(116,133)(119,137)(120,135)(123,128)(124,143)(126,132)(127,139)(130,136)(131,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 16)(  7, 32)(  8, 14)( 10, 20)( 11, 44)( 12, 17)( 15, 28)
        ( 18, 40)( 19, 36)( 21, 27)( 22, 60)( 23, 48)( 25, 31)( 26, 64)( 29, 35)( 30, 68)( 33, 39)( 34, 72)( 37, 52)
        ( 38, 76)( 41, 47)( 42, 88)( 43, 53)( 45, 51)( 46, 91)( 49, 56)( 50, 95)( 54, 84)( 55, 80)( 57, 63)( 58,111)
        ( 59, 99)( 61, 67)( 62,115)( 65, 71)( 66,119)( 69, 75)( 70,123)( 73, 79)( 74,127)( 77, 83)( 78,131)( 81,103)
        ( 82,135)( 85, 90)( 86, 93)( 87,104)( 89, 94)( 92, 98)( 96,102)( 97,105)(100,107)(101,140)(106,139)(108,114)
        (109,137)(110,144)(112,118)(113,133)(116,122)(117,129)(120,126)(121,125)(124,130)(128,134)(132,138)(136,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 20)( 11, 44)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 40)( 21, 27)( 22, 60)( 23, 48)( 25, 31)( 26, 64)( 29, 52)( 30, 68)( 33, 39)( 34, 79)( 35, 53)
        ( 37, 43)( 38, 83)( 41, 47)( 42, 87)( 45, 51)( 46, 91)( 49, 56)( 50, 96)( 54, 76)( 55, 72)( 57, 63)( 58,101)
        ( 59, 93)( 61, 67)( 62,105)( 65, 71)( 66,109)( 69, 75)( 70,113)( 73, 97)( 74,117)( 77, 82)( 78, 98)( 80, 86)
        ( 81,122)( 84, 90)( 85,125)( 88, 94)( 89,104)( 92, 95)( 99,121)(100,118)(102,108)(103,126)(106,112)(107,133)
        (110,116)(111,137)(114,120)(115,141)(119,129)(123,128)(124,130)(127,136)(131,135)(132,142)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 20)( 11, 45)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 40)( 21, 27)( 22, 50)( 23, 42)( 25, 31)( 26, 54)( 29, 46)( 30, 58)( 33, 39)( 34, 70)( 35, 47)
        ( 37, 43)( 38, 53)( 41, 44)( 48, 66)( 49, 62)( 51, 57)( 52, 71)( 55, 61)( 56, 78)( 59, 65)( 60, 82)( 63, 74)
        ( 64, 86)( 67, 73)( 68, 98)( 69, 75)( 72, 81)( 76, 94)( 77, 90)( 79, 85)( 80, 99)( 83, 89)( 84,106)( 87, 93)
        ( 88,110)( 91,102)( 92,114)( 95,101)( 96,125)( 97,103)(100,109)(104,122)(105,118)(107,113)(108,126)(111,117)
        (112,133)(115,121)(116,137)(119,129)(120,141)(123,128)(124,130)(127,136)(131,135)(132,142)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 49)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 45)( 20, 41)( 22, 28)( 23, 68)( 24, 53)( 26, 32)( 27, 69)( 30, 56)( 31, 72)( 34, 40)( 35, 84)
        ( 36, 57)( 38, 44)( 39, 88)( 42, 60)( 43, 92)( 46, 52)( 47,104)( 48, 61)( 50, 55)( 51,108)( 54, 64)( 58, 80)
        ( 59, 76)( 62,100)( 63, 96)( 65, 71)( 66,123)( 67,109)( 70, 75)( 73, 79)( 74,124)( 77,112)( 78,127)( 81, 87)
        ( 82, 94)( 83,113)( 85, 91)( 86, 90)( 89, 95)( 93, 99)( 97,116)( 98,114)(101,107)(102,137)(103,117)(105,111)
        (106,141)(110,120)(115,131)(118,135)(119,132)(121,126)(122,142)(125,130)(128,134)(129,143)(133,139)(136,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)(141,142,143,144) 
     ), 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, 68)( 33, 39)( 34, 79)( 35, 63)
        ( 37, 43)( 38, 83)( 41, 47)( 42, 87)( 45, 51)( 46, 91)( 49, 67)( 50, 95)( 53, 59)( 54,107)( 55, 71)( 57, 62)
        ( 58,108)( 61, 66)( 64, 75)( 65,109)( 69, 74)( 70, 99)( 72,103)( 73,112)( 76, 82)( 77,119)( 78,105)( 80, 86)
        ( 81,123)( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(100,111)(101,144)(104,110)
        (106,115)(113,118)(114,141)(116,122)(117,137)(120,126)(121,133)(124,130)(125,129)(128,134)(132,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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)
        ( 58,109)( 61, 67)( 62,112)( 65, 77)( 66, 76)( 70, 75)( 71,100)( 73,104)( 74,117)( 78, 83)( 79,113)( 81, 87)
        ( 82,125)( 85, 91)( 86,128)( 89, 95)( 90,132)( 93, 99)( 94,135)( 97,103)( 98,139)(101,116)(102,144)(105,111)
        (106,127)(107,120)(110,115)(114,124)(118,123)(119,141)(121,130)(122,137)(126,131)(129,134)(133,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 29)( 18, 32)( 19, 60)( 23, 40)( 25, 31)( 26, 72)( 27, 48)( 30, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 68)( 50, 96)( 53, 59)( 54,108)( 55, 73)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 76)( 66,121)( 69, 75)( 70,126)( 71,100)( 74,104)( 77, 83)( 78,130)( 79,118)
        ( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,125)( 97,103)( 98,102)(101,122)(105,111)
        (106,136)(107,127)(109,115)(110,132)(113,119)(114,133)(117,120)(123,129)(124,143)(128,140)(131,137)(135,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 38)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 63)( 26, 51)( 28, 34)( 29, 67)( 32, 55)( 33, 71)( 36, 42)
        ( 37, 56)( 40, 46)( 41, 75)( 44, 50)( 45, 79)( 48, 54)( 49, 83)( 52, 59)( 53, 87)( 57, 78)( 58, 72)( 60, 66)
        ( 61,103)( 62, 91)( 64, 70)( 65,107)( 68, 74)( 69,111)( 73, 95)( 76, 82)( 77, 96)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 94)( 89,123)( 92, 99)( 93,128)( 97,118)( 98,112)(100,106)(101,133)(102,125)(104,110)(105,137)
        (108,114)(109,141)(113,129)(116,122)(117,130)(120,126)(121,136)(124,127)(131,135)(132,142)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 68)( 32, 55)( 33, 71)( 36, 42)
        ( 37, 79)( 38, 60)( 40, 46)( 41, 83)( 44, 50)( 45, 87)( 48, 54)( 49, 91)( 52, 63)( 53, 95)( 56, 62)( 57,107)
        ( 58, 72)( 61, 75)( 64, 70)( 65,106)( 66, 99)( 69, 74)( 73,103)( 76, 82)( 77,119)( 78,108)( 80, 86)( 81,123)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,102)( 97,139)(100,111)(101,144)(104,110)(105,112)
        (109,115)(113,118)(114,141)(116,122)(117,137)(120,126)(121,133)(124,130)(125,129)(128,134)(132,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 61)( 38, 60)( 40, 46)( 41, 57)( 44, 50)( 45, 80)( 48, 54)( 49, 83)( 52, 63)( 53, 87)( 56, 62)( 58, 79)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 90)( 85,112)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,128)( 98,123)(100,106)(101,131)(104,110)(105,132)(108,114)
        (109,135)(113,118)(116,122)(117,136)(120,126)(121,139)(124,127)(125,144)(129,134)(130,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 41)( 38, 60)( 40, 46)( 44, 50)( 45, 61)( 48, 54)( 49, 57)( 52, 63)( 53, 80)( 56, 62)( 58, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 81, 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)
        (113,137)(114,131)(116,122)(117,138)(120,126)(121,141)(124,130)(125,142)(129,134)(132,135)(133,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 43)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 32)( 18, 36)( 19, 56)( 23, 39)( 25, 31)( 26, 63)( 27, 47)( 29, 35)( 30, 67)( 33, 51)( 34, 71)
        ( 38, 42)( 40, 46)( 41, 57)( 44, 50)( 45, 53)( 48, 59)( 49, 76)( 52, 58)( 54, 75)( 60, 66)( 61, 87)( 62, 79)
        ( 64, 70)( 65, 91)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 83)( 81,100)( 84, 90)( 85,111)( 86,103)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,107)(105,124)(108,114)(109,136)(110,127)
        (112,118)(113,133)(116,122)(117,137)(120,126)(121,141)(125,130)(128,131)(129,142)(132,135)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58, 90)( 59, 84)( 61, 67)( 62,117)( 66, 88)( 69, 75)( 70,113)( 71,112)( 73, 79)( 74,119)( 77, 83)( 78,122)
        ( 81, 87)( 82,126)( 85, 94)( 86,130)( 89, 95)( 91,116)( 93, 99)( 97,103)( 98,131)(101,107)(102,134)(105,111)
        (106,138)(109,115)(110,142)(114,118)(120,125)(121,143)(123,129)(124,140)(127,133)(128,136)(132,137)(135,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 68)( 54,109)( 57, 63)
        ( 58,114)( 59, 84)( 61, 67)( 62,118)( 66, 88)( 69, 75)( 70,122)( 71,106)( 73, 79)( 74,126)( 77, 83)( 78,127)
        ( 81, 87)( 82,130)( 85,110)( 86,134)( 89, 95)( 90,112)( 91,119)( 93, 99)( 94,138)( 97,103)( 98,141)(101,107)
        (102,125)(105,108)(111,117)(113,137)(115,121)(116,120)(123,129)(124,142)(128,133)(131,136)(132,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 68)( 54,109)( 57, 63)
        ( 58,114)( 59, 84)( 61, 67)( 62,118)( 66, 88)( 69, 75)( 70,122)( 71,106)( 73, 79)( 74,126)( 77, 83)( 78,129)
        ( 81, 87)( 82,133)( 85,110)( 86,134)( 89, 95)( 90,112)( 91,119)( 93, 99)( 94,138)( 97,103)( 98,141)(101,107)
        (102,125)(105,108)(111,117)(113,137)(115,121)(116,120)(123,128)(124,142)(127,132)(130,136)(131,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 93)( 39, 65)( 41, 47)( 42, 90)( 45, 51)( 46, 94)( 49, 55)( 50, 98)( 53, 68)( 54,102)( 57, 63)
        ( 58,100)( 59, 84)( 61, 67)( 62, 96)( 66, 88)( 69, 75)( 70,111)( 71,106)( 73, 79)( 74,114)( 77, 83)( 78,118)
        ( 81, 87)( 82,122)( 85,104)( 86,126)( 89, 92)( 91, 97)( 95,101)( 99,105)(103,109)(107,110)(108,127)(112,117)
        (113,130)(115,121)(116,135)(119,125)(120,138)(123,129)(124,142)(128,133)(131,134)(132,143)(136,141)(137,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 43)( 25, 31)( 26, 75)( 27, 51)( 29, 35)( 30, 79)( 33, 55)( 34, 83)
        ( 37, 42)( 38, 95)( 39, 67)( 41, 46)( 44, 50)( 45, 96)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,111)
        ( 58, 87)( 60, 66)( 61,116)( 64, 70)( 65,113)( 68, 91)( 69,109)( 72, 78)( 73,125)( 74,104)( 76, 82)( 77,129)
        ( 80, 86)( 81,133)( 84, 90)( 85,137)( 88,107)( 89,141)( 92, 98)( 93,123)( 94,117)( 97,102)(100,106)(101,124)
        (105,121)(108,114)(110,120)(112,115)(118,127)(119,142)(122,128)(126,132)(130,136)(131,143)(134,140)(135,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 43)( 25, 31)( 26, 75)( 27, 51)( 29, 35)( 30, 79)( 33, 55)( 34, 83)
        ( 37, 42)( 38, 95)( 39, 67)( 41, 46)( 44, 50)( 45, 96)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,115)
        ( 58, 87)( 60, 66)( 61,120)( 64, 70)( 65,117)( 68, 91)( 69,113)( 72, 78)( 73,129)( 74,107)( 76, 82)( 77,133)
        ( 80, 86)( 81,137)( 84, 90)( 85,138)( 88,111)( 89,141)( 92, 98)( 93,127)( 94,121)( 97,102)(100,106)(101,128)
        (104,110)(105,109)(108,125)(112,118)(114,124)(116,119)(122,131)(123,142)(126,132)(130,136)(134,140)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 89)( 39, 67)( 41, 47)( 42, 93)( 45, 51)( 46, 97)( 49, 55)( 50,101)( 53, 71)( 54,105)( 57, 62)
        ( 58,117)( 59, 83)( 61, 66)( 64, 70)( 65,118)( 68, 87)( 69,121)( 72, 78)( 73,129)( 74,109)( 77, 82)( 80, 86)
        ( 81,130)( 84,113)( 85,133)( 88, 92)( 90, 96)( 91,122)( 94,100)( 95,138)( 98,104)( 99,141)(102,108)(103,128)
        (106,112)(107,111)(110,125)(114,120)(115,140)(116,134)(119,124)(123,137)(126,132)(127,142)(131,136)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 54,112)( 57, 63)
        ( 58,117)( 59, 87)( 61, 67)( 62,121)( 65, 71)( 66,122)( 69, 91)( 70,125)( 73, 78)( 74,133)( 75,109)( 77, 82)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88,113)( 89,141)( 92, 98)( 93,115)( 94,129)( 96,102)( 97,143)(100,106)
        (101,139)(104,110)(105,136)(108,111)(114,120)(116,142)(118,124)(119,130)(123,128)(126,132)(127,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 73,120)( 74,115)( 76, 82)( 77,123)
        ( 80, 86)( 81,127)( 84, 90)( 85,128)( 88,101)( 89,131)( 93, 98)( 96,102)(100,106)(104,110)(105,132)(108,114)
        (109,135)(112,118)(113,139)(116,119)(117,144)(121,126)(122,141)(124,130)(125,137)(129,134)(133,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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)( 74,121)( 75,115)( 77, 83)( 78,125)
        ( 81, 87)( 82,129)( 85, 91)( 86,130)( 89,101)( 90,133)( 93, 98)( 96,102)(100,106)(104,110)(105,134)(108,114)
        (109,137)(112,118)(113,141)(116,119)(117,142)(120,124)(122,128)(123,143)(126,132)(127,139)(131,136)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 63)( 23, 43)( 25, 31)( 26, 75)( 27, 51)( 29, 35)( 30, 79)( 33, 55)( 34, 83)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 92)( 44, 50)( 45, 95)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57, 69)
        ( 58, 87)( 60, 66)( 61, 65)( 64, 70)( 68, 91)( 72, 78)( 73,115)( 74,107)( 76, 82)( 77,119)( 80, 86)( 81,120)
        ( 84, 90)( 85,123)( 88, 94)( 89,127)( 93, 98)( 96,102)( 97,128)(100,106)(101,131)(104,110)(105,135)(108,111)
        (109,140)(112,118)(113,141)(114,137)(116,122)(117,142)(121,126)(124,130)(125,143)(129,134)(132,138)(133,144)
        (136,139),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), 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)( 68,105)( 69, 98)( 71, 77)( 72,109)( 75, 81)( 76,113)( 79, 85)( 80,117)( 84, 89)
        ( 87, 93)( 88,118)( 91, 97)( 92,121)( 95,101)( 96,125)( 99,102)(100,129)(103,108)(104,133)(106,112)(107,138)
        (110,116)(111,141)(114,120)(115,142)(119,124)(122,128)(123,143)(126,132)(127,140)(130,136)(131,135)(134,137)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 92)( 45, 51)( 46, 94)( 49, 55)( 50, 98)( 53, 70)( 54,102)( 57, 63)
        ( 58,100)( 59, 86)( 61, 67)( 62, 96)( 65, 68)( 66, 90)( 71, 77)( 72,111)( 73,106)( 75, 81)( 76,114)( 79, 85)
        ( 80,118)( 83, 89)( 84,122)( 87,104)( 88,126)( 93, 97)( 95,101)( 99,105)(103,109)(107,110)(108,127)(112,117)
        (113,130)(115,121)(116,135)(119,125)(120,137)(123,129)(124,141)(128,133)(131,134)(132,142)(136,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)(104,134)(105,133)(107,113)
        (108,138)(111,117)(112,141)(115,121)(116,142)(120,125)(123,129)(124,143)(127,132)(128,140)(131,136)(135,137)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 86)( 39, 62)( 41, 47)( 42, 87)( 45, 51)( 46, 90)( 49, 55)( 50, 94)( 53, 66)( 54, 98)( 57, 63)
        ( 58, 89)( 59, 82)( 61, 64)( 67, 73)( 68,110)( 69,102)( 71, 77)( 72,111)( 75, 81)( 76,114)( 79, 85)( 80,118)
        ( 83, 92)( 84,122)( 88, 93)( 91, 97)( 95,101)( 96,123)( 99,105)(100,126)(103,106)(104,130)(107,113)(108,142)
        (109,134)(112,117)(115,121)(116,143)(119,125)(120,140)(124,129)(127,133)(128,141)(131,137)(132,136)(135,138)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 54)( 16, 32)( 18, 36)( 19, 58)( 23, 44)( 25, 31)( 26, 65)( 27, 46)( 29, 35)( 30, 69)( 33, 50)( 34, 73)
        ( 37, 43)( 38, 85)( 39, 61)( 41, 47)( 42, 68)( 45, 48)( 51, 57)( 52, 93)( 53, 77)( 55, 60)( 56, 97)( 59, 64)
        ( 62, 81)( 63, 98)( 66, 72)( 67, 86)( 70, 76)( 71,105)( 74, 80)( 75,109)( 78, 89)( 79,113)( 82, 88)( 83,125)
        ( 84,101)( 87,108)( 90, 96)( 91,124)( 92,117)( 94,100)( 95,103)( 99,104)(102,121)(106,112)(107,126)(110,116)
        (111,133)(114,120)(115,137)(118,129)(119,141)(122,128)(123,130)(127,136)(131,135)(132,142)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 29)( 17, 32)( 18, 56)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 45)( 30, 48)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 87)( 46, 68)( 47, 65)( 49, 55)( 50,103)( 51, 73)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 66, 95)( 67, 91)( 69, 75)( 70,129)( 71, 96)( 74, 99)( 77, 83)( 78,137)( 79,119)
        ( 81, 86)( 82,141)( 85, 90)( 88, 94)( 89,142)( 92,123)( 93,128)( 97,125)( 98,124)(100,106)(101,135)(102,130)
        (104,110)(105,136)(108,114)(109,121)(112,118)(113,117)(116,122)(120,133)(126,132)(127,143)(131,139)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 72)( 27, 45)( 29, 35)( 30, 73)( 33, 48)( 34, 76)
        ( 38, 43)( 39, 60)( 41, 64)( 42, 85)( 46, 68)( 47, 65)( 49, 55)( 50,100)( 51, 80)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 84)( 62,112)( 66, 92)( 67, 88)( 69, 75)( 70,128)( 71, 93)( 74, 79)( 77, 83)( 78,129)( 81, 96)
        ( 82,126)( 86, 91)( 87,116)( 89,120)( 90,136)( 94,124)( 95,121)( 97,103)( 98,141)( 99,131)(101,107)(102,138)
        (105,111)(106,118)(109,115)(110,114)(113,119)(117,135)(122,133)(123,139)(125,130)(127,134)(132,143)(137,142)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 55)( 22, 44)( 23, 40)( 25, 31)( 26, 71)( 27, 45)( 29, 35)( 30, 75)( 33, 48)( 34, 79)
        ( 38, 43)( 39, 59)( 41, 63)( 42, 88)( 46, 67)( 47, 64)( 49, 54)( 50,103)( 51, 83)( 53, 58)( 56, 62)( 57,104)
        ( 60, 87)( 61,107)( 65, 95)( 66, 91)( 68, 74)( 69,121)( 70, 96)( 72, 78)( 73,125)( 76, 82)( 77,129)( 80, 86)
        ( 81,133)( 84, 99)( 85,137)( 89, 94)( 90,111)( 92,115)( 93,120)( 97,117)( 98,116)(100,106)(101,109)(102,141)
        (105,110)(108,114)(112,119)(113,142)(118,124)(122,128)(123,143)(126,132)(127,139)(130,136)(131,135)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 35)( 18, 59)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 48)( 29, 34)( 32, 51)( 33, 76)( 36, 42)
        ( 37, 84)( 38, 63)( 40, 46)( 41, 87)( 44, 67)( 45, 91)( 49, 71)( 50, 68)( 52, 58)( 53,107)( 54, 79)( 56, 62)
        ( 57,111)( 60, 66)( 61,115)( 64, 83)( 65,119)( 69, 99)( 70, 95)( 72, 78)( 73,133)( 74,100)( 77, 82)( 80,103)
        ( 81,134)( 85, 90)( 86,123)( 88, 94)( 89,124)( 92, 98)( 93,141)( 96,127)( 97,132)(101,129)(102,128)(104,110)
        (105,117)(106,137)(108,114)(109,113)(112,118)(116,122)(120,126)(121,138)(125,144)(130,136)(131,142)(135,140)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 47)( 23, 43)( 25, 31)( 26, 71)( 27, 48)( 29, 35)( 30, 75)( 33, 51)( 34, 79)
        ( 37, 42)( 38, 60)( 40, 46)( 41, 88)( 44, 63)( 45, 91)( 49, 67)( 50, 64)( 52, 58)( 53,107)( 54, 83)( 56, 62)
        ( 57,111)( 61, 87)( 65, 99)( 66, 95)( 68, 74)( 69,123)( 70,100)( 72, 78)( 73,127)( 76, 82)( 77,132)( 80, 86)
        ( 81,129)( 84,103)( 85,125)( 89, 94)( 90,112)( 92, 98)( 93,134)( 96,115)( 97,137)(101,119)(102,116)(104,110)
        (105,139)(106,121)(108,114)(109,136)(113,133)(117,142)(118,141)(120,126)(122,143)(124,130)(128,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 93)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,112)( 55, 88)
        ( 57, 63)( 58,117)( 61, 67)( 62,114)( 65, 92)( 66,110)( 70,105)( 71,104)( 73, 79)( 74,122)( 75,106)( 77, 83)
        ( 78,126)( 81, 87)( 82,130)( 85, 91)( 86,131)( 89,108)( 90,134)( 94, 99)( 95,118)( 97,103)( 98,139)(101,107)
        (102,125)(109,115)(111,121)(113,116)(119,138)(120,135)(123,129)(124,140)(127,133)(128,143)(132,137)(136,144)
        (141,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), 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)( 50,103)( 53, 68)( 54,107)( 58, 63)
        ( 59, 72)( 61, 76)( 62,116)( 66, 96)( 67, 92)( 70, 75)( 71,111)( 73,115)( 74,124)( 77, 83)( 78,131)( 79,117)
        ( 81, 87)( 82,136)( 85, 91)( 86,133)( 89, 95)( 90,129)( 93,119)( 94,126)( 97,102)( 98,141)( 99,120)(101,106)
        (104,110)(105,142)(108,114)(109,140)(112,123)(113,122)(118,127)(121,137)(125,130)(128,134)(132,135)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,120)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,112)( 73,116)( 74,128)( 77, 83)( 78,140)( 79,121)
        ( 81, 87)( 82,137)( 85, 91)( 86,141)( 89, 95)( 90,133)( 93,124)( 94,130)( 97,103)( 98,110)( 99,125)(101,107)
        (102,106)(105,111)(109,115)(113,127)(114,126)(117,123)(118,143)(119,131)(122,135)(129,134)(132,142)(136,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,119)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,111)( 73,115)( 74,128)( 77, 83)( 78,137)( 79,120)
        ( 81, 87)( 82,141)( 85, 91)( 86,142)( 89, 95)( 90,133)( 93,123)( 94,130)( 97,103)( 98,102)( 99,124)(101,107)
        (105,110)(106,125)(109,114)(112,127)(113,126)(116,122)(117,139)(118,131)(121,135)(129,134)(132,143)(136,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 77)( 35, 68)
        ( 37, 43)( 38, 80)( 41, 72)( 42, 84)( 45, 51)( 46, 96)( 47, 73)( 49, 55)( 50,100)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 67)( 62,112)( 65, 71)( 66,116)( 69, 76)( 70,120)( 74, 92)( 75, 88)( 78, 83)( 79,125)( 81, 87)
        ( 82,122)( 85, 91)( 86,118)( 89,126)( 90,114)( 93, 99)( 94,134)( 95,127)( 97,103)( 98,138)(101,107)(102,142)
        (105,111)(106,133)(109,115)(110,129)(113,119)(117,123)(121,124)(128,130)(131,137)(132,143)(135,141)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), 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, 78)( 35, 68)
        ( 37, 43)( 38, 82)( 41, 72)( 42, 86)( 45, 51)( 46, 98)( 47, 73)( 49, 55)( 50,102)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 71)( 66,118)( 69, 76)( 70,122)( 74, 94)( 75, 90)( 77, 81)( 79, 85)( 80,123)
        ( 83, 89)( 84,124)( 87, 93)( 88,120)( 91,126)( 92,116)( 95,101)( 96,134)( 97,127)( 99,105)(100,137)(103,109)
        (104,141)(107,113)(108,133)(111,117)(112,129)(115,121)(119,125)(128,130)(131,136)(132,142)(135,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 84)
        ( 36, 66)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,112)
        ( 58, 64)( 59,124)( 60, 77)( 62, 68)( 63,128)( 67, 80)( 71,100)( 72, 96)( 75, 79)( 76,116)( 78,120)( 81, 87)
        ( 82, 86)( 83,129)( 85, 91)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,132)( 98,122)(101,107)(102,139)(103,133)
        (105,111)(106,144)(109,115)(110,141)(113,119)(114,138)(117,123)(118,135)(121,127)(125,131)(134,136)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 39)( 35, 88)
        ( 36, 68)( 38, 43)( 41, 72)( 42, 89)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,120)( 59, 80)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 84)( 70,126)( 74, 96)( 75, 92)( 78, 83)( 79,112)
        ( 81,116)( 82,135)( 85, 91)( 86,138)( 87,122)( 90, 95)( 93,130)( 94,139)( 97,103)( 98,110)( 99,131)(101,107)
        (102,106)(105,111)(109,115)(113,134)(114,132)(117,123)(118,141)(119,136)(121,127)(125,128)(133,142)(137,143)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 40)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 39)( 35, 88)
        ( 36, 68)( 38, 43)( 41, 72)( 42, 89)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,119)( 59, 80)( 61, 67)( 62,124)( 65, 71)( 66,121)( 69, 84)( 70,117)( 74, 96)( 75, 92)( 78, 83)( 79,112)
        ( 81,115)( 82,134)( 85, 91)( 86,138)( 87,125)( 90, 95)( 93,129)( 94,139)( 97,103)( 98,102)( 99,130)(101,107)
        (105,111)(106,131)(109,114)(110,142)(113,133)(116,122)(118,128)(120,123)(126,137)(127,135)(132,141)(136,143)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 44)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 43)( 39, 92)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,120)( 59, 80)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 84)( 70,126)( 74, 96)( 75, 93)( 78, 83)( 79,112)
        ( 81,116)( 82,131)( 85, 91)( 86,138)( 87,122)( 89, 95)( 90,141)( 94, 99)( 97,103)( 98,142)(101,107)(102,136)
        (105,111)(106,133)(109,115)(110,114)(113,130)(117,123)(118,140)(119,134)(121,127)(125,128)(132,137)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,110)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,122)( 60, 81)( 62, 68)( 63,123)( 66, 72)( 67,126)( 70, 86)( 71, 85)( 75,105)( 76,101)( 79, 84)
        ( 80,115)( 82,118)( 83,131)( 87, 92)( 88,127)( 90, 96)( 91,139)( 94,100)( 95,142)( 98,104)( 99,136)(102,113)
        (103,133)(106,109)(108,114)(112,117)(116,130)(119,125)(120,141)(121,134)(124,129)(128,138)(132,137)(135,143)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110)(111,112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 54)( 16, 29)( 18, 33)( 19, 58)( 23, 45)( 24, 41)( 27, 32)( 28, 43)( 30, 50)( 31, 39)( 34, 40)( 35, 53)
        ( 36, 62)( 38, 44)( 42, 48)( 46, 49)( 51, 57)( 52, 67)( 55, 61)( 56, 70)( 59, 65)( 60, 74)( 63, 66)( 64, 78)
        ( 68, 73)( 69, 82)( 71, 77)( 72, 87)( 75, 81)( 76, 90)( 79, 85)( 80, 94)( 83, 86)( 84, 98)( 88, 93)( 89,102)
        ( 91, 97)( 92,107)( 95,101)( 96,110)( 99,105)(100,114)(103,106)(104,118)(108,113)(109,122)(111,117)(112,127)
        (115,121)(116,130)(119,125)(120,133)(123,126)(124,137)(128,132)(129,141)(131,136)(134,140)(135,142)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46)( 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 51)( 16, 30)( 18, 32)( 19, 55)( 23, 40)( 24, 36)( 26, 31)( 27, 54)( 28, 48)( 34, 39)( 35, 59)( 37, 63)
        ( 38, 72)( 41, 47)( 42, 83)( 43, 64)( 45, 50)( 46, 87)( 49, 67)( 52, 58)( 53, 68)( 56, 62)( 57, 91)( 60, 71)
        ( 61, 95)( 65, 79)( 66, 75)( 69, 94)( 70, 88)( 73, 78)( 74, 99)( 76,103)( 77,112)( 80, 86)( 81,121)( 82,104)
        ( 84, 90)( 85,125)( 89,107)( 92, 98)( 93,108)( 96,102)( 97,129)(100,111)(101,133)(105,119)(106,115)(109,132)
        (110,126)(113,118)(114,137)(116,123)(117,144)(120,124)(122,128)(127,141)(130,136)(131,142)(134,140)(135,139)
        (138,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 77)( 35, 64)
        ( 37, 43)( 38, 80)( 41, 68)( 42, 84)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,103)( 57, 63)
        ( 58, 73)( 61, 67)( 62,111)( 65, 76)( 66,115)( 70, 92)( 71, 88)( 74,114)( 75,107)( 78, 83)( 79,119)( 81, 87)
        ( 82,133)( 85, 91)( 86,135)( 89,123)( 90,130)( 93, 99)( 94,144)( 95,124)( 97,102)( 98,141)(101,106)(104,110)
        (105,142)(108,127)(109,126)(112,118)(113,128)(116,122)(117,137)(120,132)(121,131)(125,139)(129,136)(134,138)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 99)( 47, 69)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58, 73)( 61, 67)( 62,115)( 65, 76)( 66,119)( 70, 96)( 71, 92)( 74,118)( 75,111)( 77, 83)( 78, 82)( 79,123)
        ( 81, 87)( 85, 91)( 86,124)( 89, 95)( 90,135)( 93,127)( 94,134)( 97,102)( 98,128)(100,106)(101,140)(104,110)
        (105,144)(108,114)(109,142)(112,131)(113,130)(116,122)(117,132)(120,126)(121,137)(125,138)(129,139)(133,136)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 77)( 35, 68)
        ( 37, 43)( 38, 80)( 41, 72)( 42, 84)( 45, 51)( 46, 96)( 47, 73)( 49, 55)( 50,100)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 67)( 62,112)( 65, 71)( 66,116)( 69, 76)( 70,120)( 74, 92)( 75, 88)( 78, 83)( 79,125)( 81, 87)
        ( 82,122)( 85, 91)( 86,118)( 89,126)( 90,114)( 93, 99)( 94,134)( 95,127)( 97,103)( 98,138)(101,107)(102,142)
        (105,111)(106,133)(109,115)(110,129)(113,119)(117,123)(121,124)(128,130)(131,137)(132,143)(135,141)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), 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, 78)( 35, 68)
        ( 37, 43)( 38, 82)( 41, 72)( 42, 86)( 45, 51)( 46, 98)( 47, 73)( 49, 55)( 50,102)( 53, 59)( 54,106)( 57, 63)
        ( 58,110)( 61, 67)( 62,114)( 65, 71)( 66,118)( 69, 76)( 70,122)( 74, 94)( 75, 90)( 77, 81)( 79, 85)( 80,123)
        ( 83, 89)( 84,124)( 87, 93)( 88,120)( 91,126)( 92,116)( 95,101)( 96,134)( 97,127)( 99,105)(100,137)(103,109)
        (104,141)(107,113)(108,133)(111,117)(112,129)(115,121)(119,125)(128,130)(131,136)(132,142)(135,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 66)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,112)
        ( 58, 64)( 59,119)( 60, 78)( 62, 68)( 63,123)( 67, 80)( 71,100)( 72, 96)( 74, 79)( 75,122)( 76,115)( 81, 87)
        ( 82,139)( 83,124)( 85, 91)( 86,144)( 89, 95)( 90,141)( 93, 99)( 94,137)( 97,127)( 98,134)(101,107)(102,106)
        (103,128)(105,111)(109,114)(110,129)(113,118)(116,131)(117,130)(120,126)(121,132)(125,135)(133,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 66)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,104)( 48, 70)( 50, 56)( 51,108)( 54, 73)( 55,112)
        ( 58, 64)( 59,124)( 60, 77)( 62, 68)( 63,128)( 67, 80)( 71,100)( 72, 96)( 74, 79)( 75,116)( 78,120)( 81, 87)
        ( 82, 86)( 83,129)( 85, 91)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,132)( 98,122)(101,107)(102,139)(103,133)
        (105,111)(106,144)(109,115)(110,141)(113,119)(114,138)(117,123)(118,135)(121,127)(125,131)(134,136)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 63)( 23, 44)( 24, 41)( 26, 32)( 27, 79)( 28, 52)( 31, 56)( 34, 40)( 35, 87)
        ( 36, 67)( 38, 43)( 39, 91)( 42, 71)( 45, 51)( 46, 96)( 47, 72)( 49, 55)( 50, 99)( 53, 75)( 54,103)( 57, 62)
        ( 58,115)( 59, 80)( 61, 66)( 64, 70)( 65,116)( 68, 83)( 69,119)( 73, 95)( 74, 92)( 76, 82)( 77,133)( 78,107)
        ( 81,111)( 84, 90)( 85,138)( 86,124)( 88, 94)( 89,141)( 93,125)( 97,102)( 98,126)(100,106)(101,132)(104,110)
        (105,109)(108,129)(112,118)(113,140)(114,134)(117,122)(120,123)(121,137)(127,131)(128,142)(130,136)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,120)( 60, 82)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 84)( 71,132)( 75,104)( 76,100)( 78, 83)
        ( 79,123)( 80,102)( 85, 91)( 86,134)( 87,137)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,103)( 98,122)(101,117)
        (105,111)(106,138)(107,118)(109,115)(110,144)(113,119)(114,141)(121,127)(125,131)(129,135)(133,136)(139,143)
        (140,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), 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)( 47,109)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,124)( 60, 82)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 85)( 71,136)( 75,105)( 76,101)( 78, 84)
        ( 79,140)( 80,103)( 83,120)( 86, 92)( 87,130)( 88,137)( 90, 96)( 91,126)( 94,100)( 95,122)( 98,104)( 99,142)
        (102,117)(106,111)(107,144)(108,118)(110,115)(113,119)(114,143)(121,127)(123,141)(125,131)(129,135)(133,139)
        (134,138),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 68)( 38, 44)( 39, 86)( 42, 72)( 43, 90)( 46, 52)( 47,102)( 48, 73)( 50, 56)( 51,106)( 54, 76)( 55,110)
        ( 58, 63)( 59,122)( 60, 81)( 62, 67)( 65, 71)( 66,123)( 69, 84)( 70,126)( 74, 98)( 75, 94)( 77, 83)( 78,135)
        ( 79,114)( 82,118)( 85, 88)( 87, 93)( 91, 97)( 92,127)( 95,130)( 96,138)( 99,105)(100,112)(101,131)(103,109)
        (104,108)(107,113)(111,117)(115,134)(116,132)(119,125)(120,140)(121,136)(124,129)(128,141)(133,142)(137,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 54)( 16, 30)( 18, 33)( 19, 58)( 23, 45)( 24, 41)( 26, 32)( 27, 66)( 28, 43)( 31, 50)( 34, 40)( 35, 74)
        ( 36, 62)( 38, 44)( 39, 69)( 42, 48)( 46, 49)( 51, 57)( 52, 78)( 53, 67)( 55, 61)( 56, 82)( 59, 65)( 60, 86)
        ( 63, 70)( 64, 90)( 68, 75)( 71, 77)( 72,102)( 73, 94)( 76, 81)( 79, 85)( 80,103)( 83, 89)( 84,106)( 87, 93)
        ( 88,110)( 91, 97)( 92,114)( 95, 98)( 96,118)( 99,105)(100,130)(101,122)(104,109)(107,113)(108,131)(111,117)
        (112,128)(115,121)(116,133)(119,125)(120,137)(123,126)(124,141)(127,132)(129,136)(134,140)(135,142)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46)( 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 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, 39)
        ( 36, 69)( 38, 44)( 42, 73)( 43, 70)( 46, 52)( 47, 93)( 48, 74)( 50, 56)( 51, 97)( 54, 77)( 55,100)( 58, 64)
        ( 59,112)( 60, 82)( 62, 68)( 63,115)( 66, 72)( 67,119)( 71, 88)( 75, 89)( 76, 85)( 78, 84)( 79,125)( 80,104)
        ( 83,108)( 86, 92)( 87,120)( 90, 96)( 91,129)( 94, 99)( 95,133)( 98,103)(101,107)(102,134)(105,123)(106,137)
        (109,114)(110,141)(111,126)(113,118)(116,122)(117,142)(121,132)(124,128)(127,138)(130,136)(131,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 38)(  8, 17)( 10, 24)( 11, 42)( 12, 21)( 14, 19)
        ( 15, 40)( 16, 32)( 18, 36)( 22, 33)( 23, 39)( 25, 31)( 26, 54)( 27, 46)( 29, 35)( 30, 58)( 34, 45)( 37, 41)
        ( 43, 49)( 44, 59)( 47, 50)( 48, 62)( 51, 57)( 52, 74)( 53, 66)( 55, 61)( 56, 78)( 60, 65)( 63, 69)( 64, 79)
        ( 67, 70)( 68, 82)( 71, 77)( 72, 94)( 73, 86)( 75, 81)( 76, 98)( 80, 85)( 83, 89)( 84, 99)( 87, 90)( 88,102)
        ( 91, 97)( 92,114)( 93,106)( 95,101)( 96,118)(100,105)(103,109)(104,119)(107,110)(108,122)(111,117)(112,134)
        (113,126)(115,121)(116,137)(120,125)(123,129)(124,138)(127,130)(128,141)(131,136)(132,143)(133,142)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 68)( 46, 96)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,107)
        ( 57, 71)( 58,111)( 62, 67)( 63, 84)( 65, 87)( 66,120)( 70, 99)( 72, 78)( 73,131)( 74,115)( 76, 82)( 77,135)
        ( 80, 86)( 81,139)( 85,119)( 88, 94)( 89,133)( 90,123)( 92, 98)( 93,129)( 97,102)(100,106)(101,130)(104,110)
        (105,117)(108,114)(109,113)(112,118)(116,127)(121,126)(122,140)(124,137)(125,144)(128,134)(132,138)(136,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 49, 55)( 50,116)( 51, 69)( 53, 59)( 54,120)
        ( 57, 72)( 58,124)( 62, 67)( 63, 88)( 65, 92)( 66,129)( 70,112)( 71,108)( 73, 79)( 74,106)( 75,110)( 77, 83)
        ( 78,102)( 81, 87)( 82, 98)( 85, 91)( 86, 94)( 89,128)( 90,133)( 93, 99)( 95,132)( 97,103)(101,107)(105,111)
        (109,125)(113,119)(114,138)(115,126)(117,123)(118,144)(121,127)(122,141)(130,135)(131,137)(134,136)(139,143)
        (140,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 71)( 27, 56)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 60)( 41, 47)( 42, 87)( 45, 63)( 46, 91)( 49, 55)( 50,101)( 51, 64)( 53, 58)( 54,105)( 57, 67)
        ( 61, 90)( 62, 83)( 65, 99)( 66, 95)( 68, 74)( 69,117)( 70,106)( 72, 78)( 73,121)( 76, 82)( 77,122)( 80, 86)
        ( 81,125)( 84,109)( 85,129)( 88, 94)( 89,110)( 92, 98)( 93,137)( 96,103)( 97,116)(100,104)(102,108)(107,113)
        (111,140)(112,133)(114,120)(115,138)(118,124)(119,143)(123,128)(126,132)(127,144)(130,136)(131,135)(134,141)
        (139,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 68)( 27, 56)( 29, 35)( 30, 72)( 33, 60)( 34, 76)
        ( 37, 43)( 38, 61)( 41, 47)( 42, 46)( 45, 62)( 49, 55)( 50, 77)( 51, 63)( 53, 59)( 54, 80)( 57, 64)( 58, 84)
        ( 65, 71)( 66, 96)( 67, 88)( 69, 75)( 70,100)( 73, 79)( 74,104)( 78, 83)( 81, 87)( 82,105)( 85, 91)( 86,108)
        ( 89, 92)( 90,112)( 93, 99)( 94,122)( 95,116)( 97,103)( 98,126)(101,107)(102,130)(106,111)(109,115)(110,131)
        (113,119)(114,134)(117,120)(118,138)(121,125)(123,129)(124,139)(127,133)(128,143)(132,137)(135,141)(136,144)
        (140,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 49)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 61)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 50, 55)( 51, 65)( 53, 68)( 54,109)( 57, 63)
        ( 58,120)( 59, 84)( 62, 88)( 66,108)( 67,104)( 69, 75)( 70, 82)( 71,112)( 73, 79)( 74, 78)( 77, 83)( 81, 87)
        ( 85,116)( 86,113)( 89, 95)( 90,135)( 91,121)( 93, 99)( 94,139)( 97,103)( 98,144)(101,107)(102,141)(105,124)
        (106,137)(110,115)(111,125)(114,130)(117,123)(118,134)(119,128)(122,131)(126,129)(127,133)(132,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 53)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 61)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 49, 55)( 50,112)( 51, 65)( 54, 68)( 57, 63)
        ( 58,120)( 59, 84)( 62, 88)( 66,108)( 67,104)( 69, 75)( 70,132)( 71,113)( 73, 79)( 74,137)( 77, 83)( 78,134)
        ( 81, 87)( 82,130)( 85,116)( 86,138)( 89, 95)( 90,102)( 91,121)( 93, 99)( 94, 98)( 97,103)(101,107)(105,124)
        (106,122)(109,115)(110,140)(111,125)(114,128)(117,123)(118,127)(119,142)(126,143)(129,135)(131,141)(133,136)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 59)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 67)( 46, 99)( 49, 55)( 50,109)( 51, 68)( 53, 58)( 54,113)
        ( 57, 71)( 60, 66)( 61,121)( 62, 83)( 65, 87)( 69,107)( 70,103)( 72, 78)( 73,129)( 74,114)( 76, 82)( 77,133)
        ( 81, 86)( 84,117)( 85,134)( 88, 94)( 89,123)( 90,122)( 92, 98)( 93,119)( 96,102)( 97,138)(100,106)(101,141)
        (104,111)(105,128)(108,112)(110,116)(115,125)(118,124)(120,137)(126,132)(127,142)(130,136)(131,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,120)( 61, 67)( 62,129)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,124)( 77, 83)( 78,134)
        ( 81, 87)( 82,137)( 85, 90)( 86,141)( 89, 95)( 91,128)( 93, 99)( 94,142)( 97,103)( 98,143)(101,107)(102,139)
        (105,130)(106,136)(109,115)(110,122)(111,131)(113,119)(114,118)(117,123)(121,127)(125,133)(126,132)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) 
     ), 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)( 74,113)( 75,107)( 77, 83)( 78,117)
        ( 81, 87)( 82,121)( 85, 91)( 86,125)( 90,102)( 93, 98)(100,106)(101,126)(104,110)(105,129)(108,111)(109,133)
        (112,116)(114,120)(115,134)(118,124)(119,138)(122,128)(123,141)(127,132)(130,136)(131,142)(135,137)(139,144)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,113)( 61, 67)( 62,121)( 63, 84)( 66, 88)( 70,107)( 71,104)( 73, 79)( 74,129)( 75,109)( 78, 83)
        ( 81, 87)( 82,130)( 85,117)( 86,133)( 89, 95)( 90,123)( 91,122)( 93, 99)( 94,119)( 97,103)( 98,138)(101,106)
        (102,141)(105,125)(108,114)(110,126)(112,115)(118,124)(120,137)(127,132)(128,142)(131,136)(134,140)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 46)( 16, 32)( 18, 36)( 22, 44)( 23, 41)( 25, 31)( 26, 60)( 27, 52)( 29, 35)( 30, 64)( 33, 50)( 34, 68)
        ( 37, 43)( 38, 42)( 39, 47)( 45, 51)( 49, 55)( 53, 56)( 54, 69)( 57, 63)( 58, 80)( 59, 72)( 61, 67)( 62, 84)
        ( 65, 71)( 66, 88)( 70, 75)( 73, 76)( 74, 89)( 77, 83)( 78,100)( 79, 92)( 81, 87)( 82,104)( 85, 91)( 86,108)
        ( 90, 95)( 93, 96)( 94,109)( 97,103)( 98,120)( 99,112)(101,107)(102,124)(105,111)(106,128)(110,115)(113,116)
        (114,129)(117,123)(118,138)(119,132)(121,127)(122,139)(125,131)(126,142)(130,135)(133,136)(134,143)(137,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), 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, 51)( 46, 66)( 49, 55)( 50, 62)( 53, 59)( 54, 85)( 57, 68)( 58, 88)
        ( 61, 67)( 63, 84)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 81, 87)( 82,112)( 86, 91)
        ( 89, 95)( 90,113)( 93, 96)( 94,116)( 97,103)( 98,125)( 99,120)(101,107)(102,128)(105,111)(106,132)(109,115)
        (110,135)(114,119)(117,123)(118,136)(121,124)(122,139)(126,131)(127,144)(129,134)(130,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), 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)( 98,125)( 99,120)(101,107)(102,128)(105,111)(106,132)(110,115)
        (113,119)(114,133)(117,123)(118,136)(121,124)(122,139)(126,131)(127,144)(129,135)(130,141)(134,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), 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, 59)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 67)( 27, 55)( 29, 35)( 30, 71)( 33, 49)( 34, 75)
        ( 37, 43)( 38, 42)( 39, 60)( 41, 46)( 45, 61)( 48, 54)( 50, 62)( 52, 58)( 53, 76)( 56, 63)( 57, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,137)(114,131)(116,122)(117,138)(120,126)(121,141)(125,130)(128,134)(129,142)(132,135)(133,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 74,112)( 75,107)( 77, 83)( 78,115)( 81, 87)( 82,119)
        ( 85, 91)( 86,123)( 89, 94)( 90,127)( 93, 98)( 96,102)( 97,128)(100,106)(101,131)(104,110)(105,135)(108,111)
        (109,139)(113,118)(114,144)(116,122)(117,141)(120,126)(121,137)(124,130)(125,133)(129,134)(132,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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)(109,113)
        (110,135)(112,118)(116,122)(117,136)(120,126)(121,139)(125,130)(128,134)(129,140)(132,138)(133,144)(137,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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)
        ( 58,120)( 59, 88)( 61, 67)( 62,124)( 66, 95)( 70, 96)( 71, 92)( 73, 79)( 74, 86)( 75,112)( 77, 83)( 78, 82)
        ( 81, 87)( 85, 91)( 89,116)( 90,113)( 93,128)( 94,125)( 97,103)( 98,133)( 99,129)(101,107)(102,139)(105,111)
        (106,144)(109,115)(110,141)(114,135)(117,123)(118,130)(119,132)(121,127)(122,137)(126,138)(131,136)(134,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 79)
        ( 38, 43)( 39, 67)( 41, 71)( 42, 88)( 45, 51)( 46, 99)( 47, 72)( 49, 55)( 50,103)( 53, 75)( 54,104)( 57, 63)
        ( 58,115)( 59, 83)( 61, 66)( 62,119)( 65, 70)( 68, 87)( 69,120)( 73, 95)( 74, 91)( 77, 82)( 78,107)( 80, 86)
        ( 81,132)( 84,111)( 85,135)( 89, 94)( 90,123)( 92,127)( 93,144)( 96,102)( 97,113)( 98,128)(100,106)(101,140)
        (105,110)(108,131)(109,141)(112,118)(114,139)(116,122)(117,129)(121,126)(124,143)(125,130)(133,138)(134,137)
        (136,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 80)( 28, 52)( 30, 35)( 33, 56)( 34, 81)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 89)( 45, 51)( 46,101)( 47, 73)( 49, 55)( 50, 98)( 53, 76)( 54,102)( 57, 63)
        ( 58,113)( 59, 84)( 61, 67)( 62,117)( 65, 71)( 66,121)( 69, 88)( 70,125)( 74, 96)( 75, 92)( 77, 83)( 78,137)
        ( 79,106)( 82, 87)( 85,109)( 86,138)( 90, 95)( 91,129)( 93,104)( 94,136)( 97,100)( 99,105)(103,108)(107,133)
        (110,116)(111,123)(112,141)(114,120)(115,119)(118,124)(122,128)(126,132)(127,142)(130,135)(131,143)(134,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  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)
        (109,144)(112,118)(113,141)(116,122)(117,137)(121,126)(124,130)(125,138)(128,134)(129,133)(132,135)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 69)( 42, 73)( 43, 96)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,107)( 54, 76)( 55,111)
        ( 58, 64)( 59,123)( 60, 91)( 62, 68)( 63,128)( 66, 72)( 67,125)( 70, 95)( 71,121)( 75, 99)( 77, 82)( 78,137)
        ( 79,115)( 81, 86)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,119)( 93,142)( 97,102)( 98,129)(100,106)(101,136)
        (104,110)(105,117)(108,114)(109,113)(112,118)(116,133)(120,126)(122,132)(124,127)(130,135)(131,143)(134,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 94)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,106)
        ( 58, 64)( 59,114)( 60, 89)( 62, 68)( 63,118)( 66, 72)( 67,122)( 70, 93)( 71,126)( 75,100)( 76, 97)( 78, 84)
        ( 79,138)( 80,102)( 82, 88)( 83,142)( 87, 92)( 90,110)( 91,143)( 95, 99)( 96,130)( 98,134)(101,107)(103,135)
        (105,108)(111,117)(112,132)(113,140)(115,121)(116,128)(119,125)(120,124)(123,129)(127,133)(131,137)(136,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) ), 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)( 78,109)( 79,102)( 81, 87)( 82,113)
        ( 85, 91)( 86,117)( 89, 95)( 90,121)( 94,101)( 99,105)(100,122)(103,106)(104,125)(107,112)(108,129)(110,116)
        (111,134)(114,120)(115,137)(118,124)(119,141)(123,128)(126,132)(127,142)(130,133)(131,143)(135,140)(136,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  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)( 79,122)
        ( 80,116)( 82, 88)( 83,126)( 86, 92)( 87,129)( 90, 96)( 91,133)( 95,107)( 99,103)(105,111)(106,134)(109,115)
        (110,137)(113,119)(114,138)(117,120)(118,141)(121,125)(123,128)(124,142)(127,132)(130,136)(131,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)(120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 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, 96)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,104)( 57, 63)
        ( 58, 70)( 59, 92)( 61, 67)( 62, 66)( 65, 71)( 69, 75)( 74, 93)( 77, 83)( 78,116)( 79,108)( 81, 87)( 82,119)
        ( 85, 91)( 86,123)( 89, 95)( 90,127)( 94, 99)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,112)
        (110,140)(113,118)(114,141)(115,137)(117,122)(120,126)(121,142)(124,130)(125,143)(129,134)(132,138)(133,144)
        (136,139),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), 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, 98)( 60, 92)( 62, 68)( 63,123)( 66, 72)( 67,127)( 70, 96)( 71,128)( 75,104)( 76,101)( 78, 84)
        ( 79,135)( 80,120)( 82, 87)( 83,139)( 86, 91)( 89, 95)( 90,140)( 93,102)( 94,107)( 97,103)( 99,126)(105,111)
        (106,141)(109,115)(110,137)(113,119)(114,133)(117,122)(118,144)(121,131)(124,130)(125,129)(132,138)(134,143)
        (136,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 69)( 43, 72)( 46, 52)( 47, 67)( 48, 73)( 50, 56)( 51, 63)( 54, 76)( 55, 59)
        ( 58, 64)( 60, 92)( 62, 68)( 66, 71)( 70, 74)( 75, 96)( 77, 83)( 78,102)( 79, 93)( 81, 87)( 82,106)( 85, 91)
        ( 86,110)( 89, 95)( 90,114)( 94, 98)( 99,105)(100,121)(101,115)(103,109)(104,125)(107,113)(108,129)(111,117)
        (112,133)(116,118)(119,124)(120,134)(122,128)(123,138)(126,132)(127,141)(130,136)(131,142)(135,137)(139,144)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  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, 99)( 40, 69)( 43, 73)( 46, 52)( 47, 63)( 48, 74)( 50, 56)( 51, 59)( 54, 77)( 55, 94)
        ( 58, 64)( 60, 93)( 62, 68)( 66, 72)( 67, 75)( 70, 98)( 71, 97)( 76,100)( 78, 84)( 79,108)( 80,101)( 82, 88)
        ( 83,112)( 86, 92)( 87,116)( 90, 96)( 91,120)( 95,104)(102,105)(103,121)(106,111)(107,124)(109,115)(110,129)
        (113,119)(114,132)(117,123)(118,136)(122,127)(125,128)(126,137)(130,135)(131,140)(133,139)(134,144)(138,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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)( 79,112)( 82, 88)( 83,116)
        ( 87, 92)( 90, 96)( 91,117)( 94,100)( 95,120)( 98,104)( 99,124)(102,105)(103,128)(106,111)(107,139)(108,132)
        (110,115)(113,119)(114,140)(118,123)(121,127)(122,141)(125,131)(126,137)(129,134)(130,144)(133,135)(136,142)
        (138,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 99)( 40, 73)( 42, 48)( 43,103)( 46, 52)( 47,107)( 50, 56)( 51,111)( 54, 60)( 55,115)
        ( 58, 78)( 59, 77)( 62, 68)( 63,123)( 64, 93)( 66, 72)( 67,127)( 70, 76)( 71,132)( 74, 96)( 75,129)( 79, 84)
        ( 80,116)( 82, 88)( 83,134)( 86, 92)( 87,137)( 90, 95)( 91,141)( 94,119)( 97,102)( 98,125)(100,106)(101,121)
        (104,110)(105,143)(108,114)(109,139)(112,118)(113,136)(117,133)(120,126)(122,142)(124,130)(128,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 38, 43)( 39,100)( 40, 68)( 42, 47)( 45, 72)( 46,101)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,120)( 59, 92)( 61, 67)( 62,124)( 65, 71)( 66,128)( 69, 96)( 70,133)( 74,108)( 75,104)( 77, 83)( 78, 90)
        ( 79,112)( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,116)( 94,113)( 97,103)( 98,138)( 99,130)(102,107)(105,134)
        (106,139)(110,115)(111,135)(114,119)(117,123)(118,136)(121,127)(122,143)(125,131)(126,141)(129,132)(137,142)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,115)( 61, 67)( 62,127)( 63, 83)( 66, 71)( 69, 87)( 70,128)( 74,103)( 77, 82)( 78,119)( 80, 86)
        ( 81,134)( 84,123)( 85,137)( 88, 94)( 89,125)( 90,132)( 92, 98)( 93,142)( 96,102)( 97,143)(100,106)(101,139)
        (104,110)(105,136)(108,114)(109,121)(112,118)(113,117)(116,122)(120,133)(124,130)(126,141)(129,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,113)( 51, 73)( 53, 59)( 54,110)
        ( 57, 76)( 58,114)( 61, 67)( 62,125)( 63, 84)( 65, 71)( 66,129)( 70, 88)( 74,108)( 75,104)( 78, 83)( 79,118)
        ( 81, 87)( 82,134)( 85,121)( 86,137)( 89, 95)( 90,123)( 91,130)( 93, 99)( 94,142)( 97,103)( 98,143)(101,107)
        (102,139)(105,116)(106,136)(109,112)(111,117)(115,120)(119,133)(122,128)(124,141)(126,132)(127,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 47)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 46)( 42, 99)( 45, 75)( 48, 54)( 49,107)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,116)( 60, 66)( 61,121)( 62, 87)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 91)( 73,133)( 77,103)( 78,100)
        ( 81, 86)( 82,113)( 84, 90)( 85,109)( 88,117)( 89,105)( 92, 98)( 93,119)( 94,137)( 96,102)( 97,144)(101,141)
        (104,110)(106,142)(108,114)(112,115)(118,124)(120,143)(122,128)(123,138)(126,132)(127,139)(130,136)(131,135)
        (134,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 71)( 41, 47)( 42, 95)( 45, 75)( 46, 99)( 49, 54)( 50,111)( 51, 76)( 53, 58)( 56, 79)
        ( 57,112)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,128)( 68, 74)( 69,125)( 72, 91)( 73,121)( 77,107)( 78,103)
        ( 81, 86)( 82,115)( 84, 90)( 85,138)( 88,119)( 89,141)( 93, 98)( 94,129)( 96,102)( 97,130)(100,106)(101,143)
        (104,133)(105,140)(108,114)(109,135)(110,134)(113,118)(116,137)(117,136)(120,126)(122,132)(124,127)(131,142)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 94)( 63, 88)( 65, 71)( 66,128)( 69, 75)( 70,132)( 73, 92)( 74,136)( 78,112)
        ( 79,108)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89, 98)( 90,102)( 93, 99)( 95,131)( 97,103)(101,107)(105,111)
        (109,125)(113,119)(114,140)(115,126)(117,123)(118,144)(121,127)(122,142)(129,135)(130,137)(133,139)(134,138)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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)( 62,128)( 63, 88)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 92)( 74,139)( 78,112)
        ( 79,108)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89,127)( 90,102)( 93, 99)( 94,133)( 95,140)( 97,103)( 98,130)
        (101,107)(105,111)(109,124)(113,118)(114,144)(115,125)(117,122)(120,126)(121,143)(129,134)(132,138)(136,142)
        (137,141),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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)( 50,117)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,125)( 63, 88)( 65, 71)( 66,129)( 69, 75)( 70,133)( 73, 92)( 74,137)( 78,112)
        ( 79,108)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89,121)( 90,102)( 93, 99)( 94,123)( 95,141)( 97,103)( 98,124)
        (101,107)(105,111)(109,119)(113,116)(115,120)(122,128)(126,132)(127,142)(130,136)(131,143)(134,140)(135,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 64)( 23, 47)( 24, 44)( 26, 31)( 27, 79)( 28, 55)( 30, 35)( 33, 59)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 67)( 41, 46)( 42, 95)( 45, 71)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,112)( 60, 66)( 61,117)( 62, 83)( 65, 70)( 68, 87)( 69,118)( 73, 99)( 74, 96)( 76, 82)( 77,129)( 78,109)
        ( 81, 86)( 84,113)( 85,130)( 88, 94)( 89,141)( 90,121)( 92, 98)( 93,128)( 97,125)(100,106)(101,135)(102,126)
        (104,110)(105,132)(108,111)(114,120)(115,140)(116,133)(119,124)(122,138)(123,137)(127,142)(131,136)(134,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 56)( 30, 35)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 72)( 41, 47)( 42, 99)( 45, 76)( 46,103)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,116)
        ( 57, 79)( 58,113)( 61, 67)( 62,121)( 63, 87)( 65, 71)( 66,125)( 69, 75)( 70,126)( 73, 91)( 74,129)( 78,107)
        ( 80, 86)( 81,137)( 82,109)( 85, 90)( 88,117)( 89,138)( 92, 98)( 93,119)( 94,133)( 96,102)( 97,142)(100,106)
        (101,143)(104,110)(105,140)(108,114)(112,115)(118,124)(120,141)(122,128)(123,134)(127,132)(130,136)(131,135)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 55)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,113)( 51, 76)( 53, 58)( 56, 79)
        ( 57,114)( 60, 66)( 61,121)( 62, 87)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 91)( 73,133)( 77,111)( 78,107)
        ( 80, 86)( 81,137)( 82,109)( 85, 90)( 88,117)( 89,138)( 92, 98)( 93,119)( 94,134)( 96,102)( 97,142)(100,106)
        (101,143)(104,110)(105,140)(108,115)(112,116)(118,124)(120,141)(122,128)(123,135)(126,132)(127,131)(130,136)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 58,120)( 61, 67)( 62,124)( 63, 86)( 65, 71)( 66,128)( 69, 75)( 70,132)( 73, 88)( 74,136)( 78,108)
        ( 79,104)( 81, 87)( 82,127)( 83,106)( 89, 95)( 90,138)( 91,137)( 93, 99)( 94,134)( 97,103)( 98,130)(101,107)
        (102,126)(105,121)(109,115)(110,140)(111,122)(113,119)(114,144)(117,123)(118,142)(125,131)(129,135)(133,139)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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, 73)( 39, 72)( 41, 47)( 42, 93)( 45, 76)( 46, 96)( 49, 55)( 50,108)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58,115)( 61, 67)( 62,127)( 63, 88)( 65, 71)( 66,131)( 69, 75)( 70,132)( 74, 92)( 78,104)( 79,100)
        ( 81, 87)( 82, 90)( 83,119)( 86, 91)( 89,123)( 94, 99)( 95,133)( 97,103)( 98,129)(101,135)(102,125)(105,111)
        (106,144)(107,136)(109,114)(110,141)(113,118)(116,122)(117,142)(120,126)(121,138)(124,130)(128,134)(137,139)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 97)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 88)( 65, 71)( 66, 95)( 69, 75)( 70, 74)( 73, 92)( 78,108)( 79,104)
        ( 81, 87)( 82, 90)( 83,123)( 86, 91)( 89,127)( 93, 99)( 94,132)( 98,103)(101,107)(102,133)(105,135)(106,129)
        (109,114)(110,136)(112,118)(113,140)(116,122)(117,144)(120,126)(121,142)(124,130)(125,138)(128,134)(137,139)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 36)( 19, 64)( 23, 47)( 24, 44)( 26, 32)( 27, 79)( 28, 55)( 30, 35)( 31, 83)( 34, 59)
        ( 37, 43)( 38, 91)( 39, 67)( 41, 46)( 42, 95)( 45, 71)( 48, 54)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,112)( 60, 66)( 61,117)( 62, 84)( 65, 70)( 68, 87)( 69,118)( 73, 99)( 74, 96)( 76, 82)( 77,125)( 78,109)
        ( 80, 86)( 81,129)( 85,113)( 88, 94)( 89,137)( 90,121)( 92, 98)( 93,141)( 97,102)(100,106)(101,142)(104,110)
        (105,128)(108,111)(114,120)(115,136)(116,130)(119,124)(122,134)(123,133)(126,132)(127,143)(131,139)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 79)( 28, 56)( 30, 35)( 31, 83)( 34, 60)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,115)( 61, 67)( 62,127)( 63, 84)( 66, 71)( 69, 87)( 70,128)( 74,103)( 76, 82)( 77,137)( 78,119)
        ( 80, 86)( 81,141)( 85,123)( 88, 94)( 89,125)( 90,132)( 92, 98)( 93,143)( 96,102)( 97,139)(100,106)(101,135)
        (104,110)(105,136)(108,114)(109,121)(112,118)(113,117)(116,122)(120,133)(124,130)(126,142)(129,131)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 90)( 39, 68)( 41, 47)( 42, 94)( 45, 72)( 46, 98)( 49, 55)( 50,110)( 51, 73)( 53, 59)( 54,114)
        ( 57, 76)( 58,118)( 61, 67)( 62,130)( 63, 85)( 66, 71)( 69, 88)( 70,131)( 74,106)( 75,102)( 77, 83)( 78,138)
        ( 79,122)( 81, 87)( 82,141)( 86,126)( 89, 93)( 91, 97)( 92,132)( 95,101)( 96,128)( 99,105)(100,143)(103,134)
        (104,140)(107,113)(108,120)(109,135)(111,117)(112,116)(115,121)(119,125)(123,137)(124,136)(127,133)(129,142)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 50,113)( 51, 73)( 53, 59)( 54,110)
        ( 57, 76)( 58,114)( 61, 67)( 62,125)( 63, 85)( 66, 71)( 69, 88)( 70,126)( 74,108)( 75,104)( 77, 83)( 78,137)
        ( 79,118)( 81, 87)( 82,138)( 86,121)( 89, 95)( 90, 94)( 91,129)( 93, 99)( 97,103)( 98,130)(101,107)(102,141)
        (105,116)(106,136)(109,112)(111,117)(115,120)(119,133)(122,128)(123,143)(124,139)(127,132)(131,144)(134,140)
        (135,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 87)( 34, 60)
        ( 37, 43)( 38, 95)( 39, 72)( 41, 47)( 42, 99)( 45, 76)( 46,103)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,116)
        ( 57, 79)( 58,113)( 61, 67)( 62,121)( 63, 88)( 65, 71)( 66,125)( 69, 75)( 70,126)( 73, 91)( 74,129)( 78,107)
        ( 80, 86)( 81,137)( 82,109)( 84, 90)( 85,141)( 89,117)( 92, 98)( 93,119)( 94,133)( 96,102)( 97,143)(100,106)
        (101,139)(104,110)(105,140)(108,114)(112,115)(118,124)(120,142)(122,128)(123,134)(127,132)(130,136)(131,135)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 35)( 31, 87)( 34, 59)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,113)( 51, 76)( 53, 58)( 56, 79)
        ( 57,114)( 60, 66)( 61,121)( 62, 88)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 91)( 73,133)( 77,111)( 78,107)
        ( 80, 86)( 81,137)( 82,109)( 84, 90)( 85,141)( 89,117)( 92, 98)( 93,119)( 94,134)( 96,102)( 97,143)(100,106)
        (101,139)(104,110)(105,140)(108,115)(112,116)(118,124)(120,142)(122,128)(123,135)(126,132)(127,131)(130,136)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 58,120)( 61, 67)( 62,124)( 63, 86)( 65, 71)( 66,128)( 69, 75)( 70,132)( 73, 88)( 74,136)( 78,108)
        ( 79,104)( 81, 87)( 82,127)( 83,106)( 89, 95)( 90,138)( 91,137)( 93, 99)( 94,134)( 97,103)( 98,130)(101,107)
        (102,126)(105,121)(109,115)(110,140)(111,122)(113,119)(114,144)(117,123)(118,142)(125,131)(129,135)(133,139)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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, 94)( 63, 89)( 65, 71)( 66,128)( 69, 75)( 70,132)( 73, 92)( 74,136)( 78,112)
        ( 79,108)( 81, 87)( 82,106)( 83,110)( 85, 91)( 86,102)( 90, 98)( 93, 99)( 95,131)( 97,103)(101,107)(105,111)
        (109,125)(113,119)(114,140)(115,126)(117,123)(118,144)(121,127)(122,142)(129,135)(130,137)(133,139)(134,138)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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)( 50,113)( 51, 77)( 53, 59)( 54,110)
        ( 57, 80)( 58,114)( 61, 67)( 62,126)( 63, 89)( 65, 71)( 66,130)( 69, 75)( 70,131)( 73, 92)( 74,128)( 78,108)
        ( 79,104)( 81, 87)( 82,137)( 83,118)( 85, 91)( 86,141)( 90,122)( 94, 99)( 95,124)( 97,103)( 98,143)(101,107)
        (102,139)(105,116)(106,136)(109,112)(111,117)(115,121)(119,134)(120,133)(123,129)(125,142)(127,132)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 73)( 40, 72)( 42, 48)( 43, 74)( 46, 63)( 47, 70)( 50, 56)( 51, 89)( 52, 64)( 54, 60)
        ( 55, 92)( 58, 76)( 59, 96)( 62, 67)( 66, 71)( 69, 75)( 77, 83)( 78,108)( 79,100)( 81, 87)( 82,112)( 85, 91)
        ( 86,116)( 90, 95)( 93, 99)( 94,117)( 97,103)( 98,120)(101,104)(102,124)(105,111)(106,134)(107,128)(109,115)
        (110,137)(113,119)(114,141)(118,123)(121,127)(122,142)(125,131)(126,143)(129,132)(130,139)(133,136)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136)(137,138,139,140)(141,142,143,144) 
     ), rec(
      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, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 95)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 56)( 51,116)( 52, 73)( 54, 60)
        ( 55,113)( 58, 76)( 59,117)( 63, 67)( 65, 71)( 66, 89)( 69, 92)( 70,125)( 74,111)( 75,107)( 77, 83)( 78,133)
        ( 79,121)( 81, 87)( 82,137)( 85, 91)( 86,141)( 90,128)( 93, 98)( 94,126)( 96,102)( 97,143)(100,106)(101,139)
        (104,110)(105,135)(108,119)(109,132)(112,115)(114,120)(118,124)(122,130)(123,129)(127,142)(131,136)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 92)( 40, 63)( 42, 48)( 43, 96)( 46, 68)( 47,101)( 50, 56)( 51,106)( 52, 69)( 54, 60)
        ( 55,110)( 58, 72)( 59,114)( 62, 67)( 64, 88)( 70,102)( 71, 98)( 73, 79)( 74,125)( 75,117)( 77, 83)( 78,129)
        ( 81, 87)( 82,133)( 85, 91)( 86,137)( 89, 95)( 90,141)( 93, 99)( 94,105)( 97,100)(103,109)(104,142)(107,113)
        (108,124)(111,116)(112,119)(115,120)(118,121)(122,128)(123,143)(126,132)(127,139)(130,136)(131,135)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 68)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 55)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,119)( 61, 67)( 62,127)( 63, 91)( 66, 71)( 69, 95)( 70,128)( 74,115)( 75,111)( 77, 82)( 78,133)
        ( 79,113)( 81, 86)( 84, 90)( 85,134)( 88, 94)( 89,137)( 92,123)( 93,141)( 96,102)( 97,125)( 98,132)(100,106)
        (101,143)(104,110)(105,139)(108,114)(109,136)(112,120)(117,122)(118,121)(124,130)(126,142)(129,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,121)( 58, 76)( 59,118)( 62, 68)( 63,126)( 64, 92)( 66, 72)( 67,130)( 71, 96)( 75,112)( 77, 83)( 78,134)
        ( 79,114)( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,143)( 93,122)( 94,140)( 97,103)( 98,132)( 99,131)
        (101,107)(102,128)(105,111)(106,124)(109,115)(110,137)(113,119)(117,120)(123,129)(125,136)(127,133)(135,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 55)( 51, 73)( 53, 59)( 54,117)
        ( 57, 76)( 58,120)( 61, 67)( 62, 98)( 63, 92)( 65, 71)( 66,125)( 70, 96)( 74,116)( 75,112)( 77, 83)( 78,126)
        ( 79,114)( 81, 87)( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,137)( 93,102)( 94,141)( 97,103)( 99,124)(101,107)
        (105,111)(106,142)(109,115)(110,129)(113,121)(118,123)(119,122)(127,133)(128,143)(131,136)(132,139)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,124)( 62, 68)( 63,118)( 64, 92)( 66, 72)( 67,114)( 71, 96)( 75,112)( 76,109)( 78, 83)
        ( 79,134)( 80,128)( 82, 87)( 85, 91)( 86,135)( 89, 95)( 90,138)( 93,122)( 94,142)( 97,103)( 98,110)( 99,115)
        (101,107)(102,106)(105,111)(113,119)(117,123)(121,127)(125,131)(126,143)(129,132)(130,140)(133,137)(136,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,120)( 52, 73)( 54, 60)
        ( 55,117)( 58, 76)( 59,121)( 62, 67)( 63, 98)( 64, 92)( 66, 71)( 70, 95)( 74,115)( 75,111)( 77, 83)( 78,126)
        ( 79,125)( 81, 87)( 82,134)( 85, 91)( 86,137)( 89, 94)( 90,141)( 93,129)( 96,102)( 97,130)(100,106)(101,131)
        (104,110)(105,143)(108,114)(109,139)(112,123)(113,136)(116,119)(118,124)(122,128)(127,133)(132,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,101)( 40, 72)( 42, 47)( 43,104)( 46, 76)( 49, 55)( 50, 70)( 51, 77)( 53, 59)( 54, 66)
        ( 57, 80)( 58, 62)( 61, 67)( 63, 96)( 65, 71)( 69, 75)( 73,100)( 74, 78)( 79,105)( 81, 87)( 82,112)( 83, 97)
        ( 85, 91)( 86,116)( 89, 95)( 90,120)( 93, 99)( 94,124)( 98,108)(102,107)(103,106)(109,115)(110,131)(111,125)
        (113,119)(114,135)(117,123)(118,136)(121,127)(122,139)(126,128)(129,134)(130,140)(132,138)(133,144)(137,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 75)( 49, 55)( 50,111)( 51, 76)( 53, 59)( 54,115)
        ( 57, 79)( 58,119)( 61, 67)( 62,121)( 63, 95)( 65, 71)( 66,117)( 69, 74)( 70,113)( 73, 99)( 77,101)( 78,108)
        ( 80, 86)( 81,128)( 82,123)( 84, 90)( 85,131)( 88, 94)( 89,135)( 92, 98)( 93,136)( 96,125)( 97,139)(100,106)
        (102,114)(104,110)(105,109)(112,118)(116,122)(120,126)(124,127)(129,134)(130,140)(132,138)(133,144)(137,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62,127)( 63, 92)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 96)( 74,136)( 78,116)
        ( 79,112)( 82, 87)( 83,114)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93,124)( 94,102)( 97,103)( 98,126)( 99,139)
        (101,107)(105,111)(109,115)(113,121)(118,123)(119,122)(125,130)(128,134)(129,140)(132,138)(133,144)(137,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,123)( 61, 67)( 62,128)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,135)( 73, 99)( 74,136)( 78,119)
        ( 79,115)( 81, 86)( 82,117)( 84, 90)( 85,113)( 88, 94)( 89,109)( 92, 98)( 93,105)( 96,127)( 97,101)(100,106)
        (102,139)(104,110)(108,114)(112,118)(116,124)(121,126)(122,125)(129,134)(130,140)(132,138)(133,144)(137,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 55)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,136)( 73, 99)( 74,133)( 78,115)
        ( 79,111)( 81, 87)( 82,137)( 83,113)( 85, 90)( 86,141)( 89, 94)( 92, 98)( 93,142)( 96,123)( 97,143)(101,106)
        (102,129)(104,110)(105,125)(108,114)(109,140)(112,120)(117,122)(118,121)(124,130)(126,139)(128,134)(132,135)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 39,100)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 55)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,127)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,136)( 73, 99)( 74,133)( 78,115)
        ( 79,111)( 81, 87)( 82,137)( 83,113)( 85, 91)( 86,141)( 89, 94)( 90,142)( 93, 98)( 96,123)( 97,143)(101,106)
        (102,129)(104,110)(105,125)(108,114)(109,140)(112,120)(117,122)(118,121)(124,130)(126,139)(128,134)(132,135)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 90)( 40, 72)( 42, 48)( 43, 86)( 46, 76)( 47, 83)( 50, 55)( 51, 77)( 53, 59)( 54, 97)
        ( 57, 80)( 58, 79)( 61, 67)( 62,102)( 63, 92)( 65, 71)( 66,106)( 69, 75)( 70,110)( 73, 94)( 74,114)( 78, 96)
        ( 82, 87)( 85, 91)( 89, 95)( 93, 98)( 99,105)(100,122)(101,115)(103,109)(104,126)(107,113)(108,130)(111,117)
        (112,134)(116,118)(119,125)(120,137)(121,135)(123,129)(124,141)(127,133)(128,142)(131,136)(132,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      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)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,127)( 62, 67)( 63, 92)( 65, 71)( 66,132)( 69, 75)( 70,135)( 73, 96)( 74,139)( 78,116)
        ( 79,112)( 82, 87)( 83,114)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93,131)( 94,102)( 97,103)( 98,134)( 99,140)
        (101,107)(105,111)(109,115)(113,128)(117,122)(118,144)(119,129)(121,126)(124,130)(125,143)(133,138)(136,142)
        (137,141),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,133)( 74, 97)( 75,137)
        ( 79,117)( 80,113)( 82, 88)( 83,138)( 84,115)( 87, 92)( 90, 96)( 91,139)( 94,103)( 95,142)( 98,104)(100,135)
        (102,108)(106,112)(107,143)(110,116)(111,141)(114,129)(118,123)(119,130)(121,127)(122,126)(125,131)(134,136)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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)( 59,128)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,137)( 74, 97)( 75,134)
        ( 79,117)( 80,113)( 82, 88)( 83,138)( 84,115)( 87, 92)( 90, 96)( 91,139)( 94,103)( 95,142)( 98,104)(100,135)
        (102,108)(106,112)(107,143)(110,116)(111,141)(114,129)(118,124)(119,123)(120,130)(122,127)(126,131)(133,136)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,133)( 74, 97)( 75,137)
        ( 79,117)( 80,113)( 82, 88)( 83,138)( 84,115)( 86, 92)( 87,141)( 91, 96)( 94,103)( 95,142)( 98,104)(100,135)
        (102,108)(106,112)(107,143)(110,116)(111,140)(114,129)(118,123)(119,130)(121,127)(122,126)(125,131)(134,136)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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)( 59,128)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,137)( 74, 97)( 75,134)
        ( 79,117)( 80,113)( 82, 88)( 83,138)( 84,115)( 86, 92)( 87,141)( 91, 96)( 94,103)( 95,142)( 98,104)(100,135)
        (102,108)(106,112)(107,143)(110,116)(111,140)(114,129)(118,124)(119,123)(120,130)(122,127)(126,131)(133,136)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,121)( 64, 94)( 66, 72)( 67,117)( 70, 76)( 71,131)( 74, 97)( 75,135)
        ( 79,115)( 80,112)( 82, 88)( 83, 87)( 84,128)( 86, 92)( 90, 96)( 91,129)( 95,125)( 98,103)( 99,139)(101,107)
        (102,144)(105,111)(106,141)(109,114)(110,137)(113,133)(116,122)(118,134)(120,126)(124,130)(132,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,110)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,129)( 62, 68)( 63,123)( 64, 97)( 66, 72)( 67,119)( 70, 76)( 71,137)( 74,101)( 75,141)
        ( 79,117)( 80,114)( 82, 88)( 83, 87)( 84,133)( 86, 92)( 90, 96)( 91,134)( 94,100)( 95,135)( 98,127)( 99,131)
        (102,106)(104,109)(105,142)(108,113)(111,116)(112,143)(115,139)(118,124)(120,140)(122,128)(126,132)(130,136)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 72)( 42, 48)( 43,105)( 46, 76)( 47,109)( 50, 56)( 51, 95)( 52, 77)( 54, 60)
        ( 55, 91)( 58, 80)( 59, 87)( 62, 67)( 63,121)( 64, 93)( 66, 71)( 69, 75)( 70,122)( 73, 97)( 74,125)( 78,117)
        ( 79,113)( 81, 84)( 83, 88)( 86, 92)( 90, 96)( 94,118)( 98,104)( 99,137)(100,129)(102,108)(103,141)(106,112)
        (107,136)(110,116)(111,131)(114,120)(115,127)(119,124)(123,128)(126,132)(130,133)(134,140)(135,142)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      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)( 66,130)( 69, 75)( 70,133)( 73,100)( 74,137)( 78,120)
        ( 79,116)( 81, 87)( 82,114)( 83,118)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93, 99)( 94,102)( 97,129)( 98,142)
        (101,107)(103,141)(105,111)(109,115)(113,119)(117,127)(121,124)(123,128)(131,136)(132,143)(134,140)(135,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,113)( 58, 80)( 61, 67)( 62,120)( 63, 92)( 65, 71)( 66,124)( 69, 75)( 70,129)( 73, 96)( 74,126)( 79,112)
        ( 81, 87)( 82,130)( 83,114)( 85, 91)( 86,134)( 90, 95)( 93,116)( 94,135)( 97,103)( 98,118)( 99,122)(101,107)
        (102,139)(105,111)(106,142)(109,115)(110,133)(117,123)(119,138)(121,127)(125,128)(131,137)(132,143)(136,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      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)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,116)( 58, 80)( 61, 67)( 62,123)( 63, 95)( 65, 71)( 66,127)( 69, 75)( 70,132)( 73, 99)( 74,129)( 79,115)
        ( 81, 86)( 82,133)( 83,117)( 85, 90)( 88, 94)( 89,134)( 92, 98)( 93,137)( 96,119)( 97,141)(100,106)(101,121)
        (102,125)(104,110)(105,143)(108,114)(109,139)(112,118)(113,136)(120,126)(122,142)(124,130)(128,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      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)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,116)( 58, 80)( 61, 67)( 62,123)( 63, 96)( 65, 71)( 66,127)( 69, 75)( 70,132)( 73, 99)( 74,129)( 79,115)
        ( 81, 87)( 82,133)( 83,117)( 85, 91)( 86,134)( 89, 95)( 90,137)( 93, 98)( 94,141)( 97,119)(100,106)(101,121)
        (102,125)(104,110)(105,143)(108,114)(109,139)(112,118)(113,136)(120,126)(122,142)(124,130)(128,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 39,102)( 40, 73)( 42, 48)( 43, 99)( 46, 77)( 47,103)( 50, 56)( 51,114)( 52, 78)( 54, 60)
        ( 55,118)( 58, 81)( 59,122)( 62, 68)( 63,116)( 64, 93)( 66, 72)( 67,112)( 70, 76)( 71,130)( 74, 97)( 75,134)
        ( 79,110)( 80,107)( 83, 88)( 84,126)( 86, 92)( 87,127)( 90, 96)( 91,137)( 94,120)( 95,141)( 98,101)(100,106)
        (104,109)(105,135)(108,132)(111,117)(113,133)(115,121)(119,125)(123,129)(124,142)(128,140)(131,136)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 51,118)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,126)( 62, 68)( 63,120)( 64, 97)( 66, 72)( 67,116)( 70, 76)( 71,134)( 74,101)( 75,138)
        ( 79,114)( 80,111)( 82, 88)( 83, 87)( 84,130)( 86, 92)( 90, 96)( 91,131)( 94,100)( 95,141)( 98,124)( 99,142)
        (102,105)(104,110)(108,113)(109,139)(112,136)(115,121)(117,137)(119,125)(123,129)(127,133)(128,143)(132,144)
        (135,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106)(107,108,109,110)(111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 39,106)( 40, 73)( 42, 48)( 43,110)( 46, 77)( 47,114)( 50, 56)( 51,126)( 52, 78)( 54, 60)
        ( 55,130)( 58, 81)( 59,134)( 62, 68)( 63,112)( 64, 96)( 66, 72)( 67,108)( 70, 76)( 71,105)( 74,103)( 75,101)
        ( 79,122)( 80,118)( 82, 88)( 83, 98)( 84,120)( 86, 91)( 87, 94)( 90, 95)( 93, 99)( 97,116)(100,102)(104,109)
        (107,113)(111,117)(115,121)(119,135)(123,129)(124,138)(125,136)(127,133)(128,144)(131,137)(132,141)(139,143)
        (140,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 56)( 51,115)( 52, 77)( 54, 60)
        ( 55,116)( 58, 79)( 59,119)( 62, 67)( 63,129)( 64, 92)( 66, 71)( 69, 75)( 70,130)( 73, 96)( 74, 95)( 78,111)
        ( 80, 86)( 81,134)( 82,124)( 84, 90)( 85,137)( 88, 94)( 89,141)( 93,125)( 97,102)( 98,131)(100,106)(101,127)
        (104,110)(105,143)(108,114)(109,139)(112,118)(113,136)(117,122)(120,123)(121,133)(126,132)(128,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 55)( 51, 76)( 53, 59)( 54,116)
        ( 57, 79)( 58,117)( 61, 66)( 62,127)( 63, 92)( 65, 70)( 68, 74)( 69,128)( 72, 96)( 73, 95)( 77,115)( 78,111)
        ( 80, 86)( 81,133)( 82,119)( 84, 90)( 85,137)( 88, 94)( 89,141)( 93,123)( 97,102)( 98,129)(100,106)(101,125)
        (104,110)(105,143)(108,114)(109,139)(112,121)(113,135)(118,122)(120,131)(124,130)(126,142)(132,136)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 51,122)( 52, 78)( 54, 60)
        ( 55,119)( 58, 81)( 59,123)( 62, 68)( 63,130)( 64, 93)( 66, 72)( 67,134)( 70, 76)( 71,135)( 74, 98)( 75, 97)
        ( 79,117)( 80,113)( 82, 88)( 83,138)( 84,115)( 86, 92)( 87,142)( 91, 96)( 94,126)( 95,143)( 99,104)(100,136)
        (102,108)(103,132)(106,112)(107,128)(110,116)(111,141)(114,124)(118,121)(120,125)(127,133)(129,140)(131,137)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 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)( 39,144)( 40, 73)( 42, 48)( 43, 75)( 46, 77)( 47, 71)( 50, 56)( 51,104)( 52, 78)( 54, 60)
        ( 55,108)( 58, 81)( 59,112)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67, 80)( 70, 76)( 74,143)( 79,100)( 82, 88)
        ( 83,127)( 84,116)( 86, 92)( 87,131)( 90, 96)( 91,135)( 94, 99)( 95,139)( 98,120)(101,107)(102,121)(105,111)
        (106,122)(109,115)(110,141)(113,119)(114,137)(117,124)(118,133)(123,140)(125,130)(126,129)(128,134)(132,138)
        (136,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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)( 39,144)( 40, 73)( 42, 48)( 43, 75)( 46, 77)( 47, 71)( 50, 56)( 51,105)( 52, 78)( 54, 60)
        ( 55,109)( 58, 81)( 59,113)( 62, 68)( 63,104)( 64, 97)( 66, 72)( 67, 80)( 70, 76)( 74,143)( 79,101)( 82, 88)
        ( 83,124)( 84,117)( 86, 92)( 87,128)( 90, 96)( 91,132)( 94,100)( 95,136)( 98,103)( 99,140)(102,108)(106,112)
        (107,141)(110,116)(111,138)(114,120)(115,134)(118,121)(119,130)(122,127)(123,126)(125,131)(129,135)(133,139)
        (137,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) ), 
  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, 80)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 72)( 40, 71)( 42, 47)( 43, 96)( 46, 75)( 49, 55)( 50,103)( 51, 76)( 53, 59)( 54,107)
        ( 57, 79)( 58,111)( 61, 66)( 62,119)( 63, 91)( 65, 70)( 68, 74)( 69,120)( 73, 95)( 77, 99)( 78, 97)( 81, 86)
        ( 82,115)( 84, 90)( 85,124)( 88, 94)( 89,127)( 92,101)( 93,131)( 98,121)(100,106)(102,122)(104,110)(105,132)
        (108,114)(109,135)(112,118)(113,139)(116,123)(117,144)(125,130)(126,141)(128,134)(129,137)(133,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 44)( 39, 73)( 40, 72)( 42, 48)( 43, 97)( 46, 76)( 47,100)( 50, 56)( 51,110)( 52, 77)( 54, 59)
        ( 55,114)( 58, 80)( 61, 67)( 62,122)( 63, 92)( 65, 71)( 66,123)( 69, 75)( 70,126)( 74, 96)( 78,108)( 79,104)
        ( 81, 87)( 82,134)( 83,115)( 85, 91)( 86,138)( 90, 95)( 93,118)( 94,139)( 98,103)( 99,127)(101,107)(102,142)
        (105,112)(106,133)(109,113)(111,117)(116,130)(119,125)(120,144)(121,136)(124,129)(128,141)(131,137)(132,143)
        (135,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 51,113)( 52, 78)( 54, 60)
        ( 55,117)( 58, 81)( 59,121)( 62, 68)( 63,111)( 64, 97)( 66, 72)( 67,125)( 70, 76)( 71,129)( 75,101)( 79,109)
        ( 80,106)( 82, 88)( 83,136)( 84,122)( 86, 92)( 87,141)( 90, 96)( 91,138)( 94,100)( 95,134)( 98,115)( 99,142)
        (103,108)(104,130)(107,127)(110,116)(112,128)(114,120)(118,124)(119,143)(123,132)(126,131)(133,139)(135,144)
        (137,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39,103)( 40, 71)( 42, 47)( 45, 75)( 46,104)( 49, 54)( 50,115)( 51, 76)( 53, 58)( 56, 79)
        ( 57,116)( 60, 66)( 61,127)( 62, 95)( 64, 70)( 65,102)( 68, 74)( 69, 73)( 72, 99)( 77,111)( 78,107)( 80, 86)
        ( 81,135)( 82,119)( 84, 90)( 85,140)( 88, 94)( 89,137)( 92, 98)( 93,133)( 96,123)( 97,141)(100,106)(101,128)
        (105,110)(108,125)(109,129)(112,118)(113,142)(114,126)(117,122)(120,131)(121,143)(124,130)(132,138)(134,144)
        (136,139),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), 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, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 72)( 42, 47)( 45, 76)( 46,101)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 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)( 90,133)( 93,109)( 94,135)( 97,103)( 98,128)(102,106)(105,129)
        (108,114)(110,130)(112,118)(113,136)(116,122)(117,139)(120,126)(121,144)(124,131)(125,141)(134,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39,104)( 40, 72)( 42, 47)( 45, 76)( 46,105)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,120)( 61, 67)( 62,127)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,111)( 79,108)
        ( 81, 87)( 82,135)( 83,123)( 85, 91)( 86,140)( 89, 95)( 90,137)( 93, 99)( 94,133)( 97,113)( 98,141)(101,107)
        (102,128)(106,110)(109,129)(112,118)(114,130)(116,122)(117,142)(121,126)(124,131)(125,143)(132,138)(134,144)
        (136,139),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,117)( 58, 80)( 59,120)( 62, 68)( 63,130)( 64, 93)( 66, 72)( 67, 99)( 70, 76)( 71, 75)( 74, 96)( 79,112)
        ( 81, 87)( 82,134)( 83,125)( 85, 91)( 86,137)( 89, 95)( 90,141)( 94,126)( 97,103)( 98,131)(101,107)(102,128)
        (105,111)(106,143)(109,115)(110,139)(113,119)(114,136)(118,123)(121,124)(122,133)(127,132)(129,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) 
     ), 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)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62,130)( 63, 93)( 65, 71)( 66, 99)( 69, 75)( 70, 74)( 73, 96)( 78,116)( 79,112)
        ( 81, 87)( 82,134)( 83,125)( 85, 91)( 86,137)( 89, 95)( 90,141)( 94,126)( 97,103)( 98,131)(101,107)(102,128)
        (105,111)(106,143)(109,115)(110,139)(113,119)(114,136)(118,123)(121,124)(122,133)(127,132)(129,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 55)( 51,122)( 52, 77)( 54, 59)
        ( 57, 80)( 58,123)( 61, 67)( 62,130)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,120)( 79,116)
        ( 81, 87)( 82,134)( 83,118)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,143)( 97,126)( 98,140)(101,107)
        (102,131)(105,111)(106,132)(109,115)(110,128)(113,119)(114,137)(117,124)(121,125)(127,133)(129,136)(135,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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)( 63,103)( 64, 97)( 66, 72)( 67,104)( 70, 76)( 71, 75)( 74,101)( 79,121)
        ( 80,117)( 82, 88)( 83,130)( 84,119)( 86, 92)( 87,134)( 90, 96)( 91,135)( 94,100)( 95,138)( 98,107)( 99,141)
        (102,108)(106,112)(110,116)(111,142)(114,120)(115,133)(118,128)(122,125)(124,129)(131,137)(132,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 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)( 63,103)( 64, 97)( 66, 72)( 67,104)( 70, 76)( 71, 75)( 74,101)( 79,121)
        ( 80,117)( 82, 88)( 83,130)( 84,119)( 86, 92)( 87,134)( 90, 96)( 91,137)( 94,100)( 95,138)( 98,107)( 99,141)
        (102,108)(106,112)(110,116)(111,142)(114,120)(115,133)(118,128)(122,125)(124,129)(131,136)(132,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39,102)( 40, 73)( 42, 48)( 43,106)( 46, 77)( 47,110)( 50, 56)( 51,118)( 52, 78)( 54, 60)
        ( 55,119)( 58, 80)( 59,122)( 62, 68)( 63,130)( 64, 94)( 66, 72)( 67,101)( 70, 76)( 71, 75)( 74, 98)( 79,114)
        ( 81, 85)( 83, 89)( 84,123)( 87, 93)( 88,134)( 91, 97)( 92,137)( 95,126)( 96,141)( 99,105)(100,131)(103,109)
        (104,128)(107,113)(108,143)(111,117)(112,139)(115,121)(116,136)(120,125)(124,133)(127,132)(129,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 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, 62)( 40, 69)( 42, 47)( 43, 93)( 46, 72)( 49, 55)( 50,100)( 51, 73)( 53, 59)( 54,104)
        ( 57, 76)( 58,108)( 61, 67)( 63, 92)( 65, 71)( 66, 70)( 74, 96)( 75, 94)( 77, 83)( 78,119)( 79,112)( 81, 87)
        ( 82,123)( 85, 91)( 86,127)( 89, 95)( 90, 99)( 97,103)( 98,128)(101,107)(102,131)(105,111)(106,135)(109,115)
        (110,139)(113,116)(114,144)(117,122)(118,141)(120,126)(121,137)(124,130)(125,133)(129,134)(132,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,101)( 46, 76)( 47,104)( 50, 55)( 51, 77)( 53, 59)( 54,113)
        ( 57, 80)( 58,116)( 61, 67)( 62, 74)( 63, 92)( 65, 71)( 66, 70)( 69, 75)( 73, 96)( 78,112)( 79,108)( 81, 87)
        ( 82,132)( 83,120)( 86, 91)( 89, 95)( 90,133)( 93, 99)( 94,136)( 97,103)( 98,139)(102,107)(105,111)(106,140)
        (109,124)(110,131)(114,119)(115,125)(117,123)(118,144)(121,128)(122,127)(126,143)(129,135)(130,141)(134,138)
        (137,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), 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)( 43,101)( 46, 76)( 47,104)( 50, 55)( 51, 77)( 53, 59)( 54,113)
        ( 57, 80)( 58,116)( 61, 67)( 62, 74)( 63, 92)( 65, 71)( 66, 70)( 69, 75)( 73, 96)( 78,112)( 79,108)( 81, 87)
        ( 82,132)( 83,120)( 85, 91)( 86,135)( 90, 95)( 93, 99)( 94,136)( 97,103)( 98,139)(102,107)(105,111)(106,140)
        (109,124)(110,131)(114,119)(115,125)(117,123)(118,144)(121,128)(122,127)(126,143)(129,134)(130,141)(133,138)
        (137,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      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, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39, 97)( 40, 71)( 42, 48)( 43,101)( 46, 74)( 47,105)( 50, 56)( 51,114)( 52, 75)( 54, 60)
        ( 55,115)( 58, 78)( 59,117)( 62, 66)( 64, 70)( 65, 91)( 68, 73)( 69,126)( 72, 94)( 76,113)( 77,109)( 79, 85)
        ( 80,133)( 81,121)( 83, 89)( 84,137)( 87, 93)( 88,141)( 92,125)( 95,100)( 96,127)( 98,104)( 99,143)(102,108)
        (103,139)(106,112)(107,135)(110,119)(111,132)(116,120)(118,124)(122,130)(123,129)(128,142)(131,136)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      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, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,116)( 52, 76)( 54, 60)
        ( 55,117)( 58, 79)( 59,119)( 62, 66)( 64, 70)( 65, 92)( 68, 74)( 69,127)( 72, 96)( 73, 95)( 77,115)( 78,111)
        ( 80, 86)( 81,133)( 82,123)( 84, 90)( 85,137)( 88, 94)( 89,141)( 93,126)( 97,102)( 98,128)(100,106)(101,143)
        (104,110)(105,139)(108,114)(109,135)(112,121)(113,132)(118,122)(120,125)(124,130)(129,142)(131,136)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,118)( 52, 74)( 54, 60)
        ( 55,122)( 58, 78)( 59, 77)( 62, 68)( 63,130)( 64, 93)( 66, 72)( 67, 99)( 71, 96)( 75,116)( 76,112)( 79, 84)
        ( 80,123)( 82, 88)( 83,134)( 86, 92)( 87,137)( 90, 95)( 91,141)( 94,126)( 97,103)( 98,131)(101,107)(102,128)
        (105,111)(106,143)(109,115)(110,139)(113,120)(114,136)(117,121)(119,125)(124,133)(127,132)(129,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 99)( 40, 70)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,117)( 52, 74)( 54, 60)
        ( 55,121)( 58, 78)( 59, 77)( 62, 68)( 63,129)( 64, 93)( 66, 72)( 67,130)( 71, 96)( 75,115)( 76,111)( 79, 84)
        ( 80,122)( 82, 88)( 83,134)( 86, 92)( 87,137)( 90, 95)( 91,141)( 94,125)( 97,102)( 98,131)(100,106)(101,127)
        (104,110)(105,143)(108,114)(109,139)(112,119)(113,136)(116,120)(118,124)(123,133)(126,132)(128,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 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, 78)( 34, 61)
        ( 35, 81)( 38, 44)( 39, 93)( 40, 70)( 42, 48)( 43, 97)( 46, 73)( 47,101)( 50, 56)( 51,111)( 52, 74)( 54, 60)
        ( 55,115)( 59, 77)( 62, 68)( 63,122)( 64, 85)( 66, 72)( 67,126)( 71, 89)( 75,109)( 76,105)( 79, 84)( 80,116)
        ( 82, 88)( 83,130)( 86,119)( 87,133)( 90, 96)( 91,141)( 92,127)( 94,100)( 95,142)( 98,104)( 99,139)(102,108)
        (103,135)(106,113)(107,132)(110,114)(112,118)(117,129)(120,125)(121,137)(123,128)(124,144)(131,136)(134,140)
        (138,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110)(111,112,113,114)(115,116,117,118)(119,120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 78)( 34, 61)
        ( 35, 81)( 38, 44)( 39, 92)( 40, 70)( 42, 48)( 43, 96)( 46, 73)( 47,100)( 50, 56)( 51,110)( 52, 74)( 54, 60)
        ( 55,114)( 59, 77)( 62, 68)( 63,121)( 64, 85)( 66, 72)( 67,125)( 71, 89)( 75,108)( 76,104)( 79, 84)( 80,115)
        ( 82, 88)( 83,130)( 86,118)( 87,133)( 90, 95)( 91,126)( 93, 99)( 94,142)( 97,103)( 98,139)(101,107)(102,135)
        (105,112)(106,132)(109,113)(111,117)(116,129)(119,124)(120,137)(122,128)(123,144)(127,141)(131,136)(134,140)
        (138,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 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, 58)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,118)( 59, 80)( 62, 67)( 63,126)( 64, 88)( 66, 71)( 69, 75)( 70,127)( 73, 92)( 74,130)( 78,112)( 79,108)
        ( 82, 87)( 83,119)( 85, 91)( 86,134)( 89,122)( 90,137)( 93, 99)( 94,124)( 95,131)( 97,103)( 98,142)(101,107)
        (102,143)(105,111)(106,139)(109,116)(110,136)(113,117)(115,121)(120,133)(123,129)(125,141)(128,132)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 80)( 34, 61)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 72)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 56)( 51,112)( 52, 76)( 54, 60)
        ( 55,115)( 59, 79)( 62, 68)( 63,123)( 64, 87)( 66, 71)( 67, 94)( 70, 74)( 73, 91)( 77,111)( 78,107)( 81, 86)
        ( 82,116)( 84, 90)( 85,128)( 88,119)( 89,131)( 92, 98)( 93,124)( 96,102)( 97,139)(100,106)(101,137)(104,110)
        (105,133)(108,114)(109,130)(113,118)(117,127)(120,126)(121,144)(122,135)(125,142)(129,134)(132,138)(136,140)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 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, 80)( 34, 61)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 72)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 56)( 51,113)( 52, 76)( 54, 60)
        ( 55,117)( 59, 79)( 62, 68)( 63,125)( 64, 87)( 66, 71)( 67, 94)( 70, 74)( 73, 91)( 77,111)( 78,107)( 81, 86)
        ( 82,118)( 84, 90)( 85,130)( 88,121)( 89,133)( 92, 98)( 93,126)( 96,102)( 97,141)(100,106)(101,139)(104,110)
        (105,135)(108,115)(109,132)(112,116)(114,120)(119,129)(122,128)(123,143)(124,137)(127,144)(131,136)(134,140)
        (138,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 47)( 43,104)( 46, 72)( 49, 55)( 50, 79)( 51, 73)( 53, 59)( 54, 58)
        ( 57, 76)( 61, 67)( 62,116)( 63, 92)( 66, 71)( 69, 96)( 70,117)( 74,108)( 75,105)( 77, 83)( 78,109)( 81, 87)
        ( 82,126)( 85, 91)( 86,130)( 89, 95)( 90,131)( 93,112)( 94,134)( 97,103)( 98,114)( 99,121)(101,107)(102,139)
        (106,122)(110,129)(111,123)(113,119)(115,138)(118,120)(124,142)(125,140)(127,133)(128,143)(132,137)(135,141)
        (136,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,120)( 64, 93)( 66, 72)( 67,121)( 70, 76)( 71,124)( 74, 97)( 75,129)( 80,113)
        ( 82, 88)( 83,130)( 84,114)( 86, 92)( 87,134)( 91, 96)( 94,116)( 95,135)( 98,104)( 99,118)(100,126)(102,108)
        (103,139)(106,112)(107,142)(110,115)(111,133)(117,123)(119,138)(122,127)(125,128)(131,137)(132,143)(136,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,123)( 64, 96)( 66, 72)( 67,124)( 70, 76)( 71,127)( 74,100)( 75,132)( 80,116)
        ( 82, 87)( 83,133)( 84,117)( 86, 91)( 89, 95)( 90,134)( 93, 99)( 94,137)( 97,119)( 98,141)(101,107)(102,121)
        (103,129)(105,111)(106,143)(109,115)(110,139)(113,118)(114,136)(120,126)(122,142)(125,130)(128,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,123)( 64, 97)( 66, 72)( 67,124)( 70, 76)( 71,127)( 74,100)( 75,132)( 80,116)
        ( 82, 88)( 83,133)( 84,117)( 86, 92)( 87,134)( 90, 96)( 91,137)( 94, 99)( 95,141)( 98,119)(101,107)(102,121)
        (103,129)(105,111)(106,143)(109,115)(110,139)(113,118)(114,136)(120,126)(122,142)(125,130)(128,131)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 72)( 28, 47)( 30, 36)( 31, 75)( 34, 56)
        ( 35, 79)( 38, 44)( 39, 77)( 40, 68)( 42, 48)( 43, 74)( 46, 53)( 50, 55)( 51, 54)( 57, 63)( 58, 91)( 59, 83)
        ( 61, 67)( 62, 95)( 65, 71)( 66, 99)( 69, 81)( 70,103)( 73, 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)
        (113,131)(114,129)(116,122)(117,135)(120,126)(121,139)(124,130)(125,134)(132,138)(133,140)(136,142)(137,144)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 69)( 41, 47)( 42, 97)( 45, 73)( 46, 72)( 49, 55)( 50,100)( 51, 74)( 53, 59)( 54,104)
        ( 57, 76)( 58,108)( 61, 67)( 62,106)( 63, 92)( 65, 71)( 66,102)( 70, 96)( 75, 98)( 77, 83)( 78,120)( 79,112)
        ( 81, 87)( 82,123)( 85, 91)( 86,127)( 89, 95)( 90,131)( 93,110)( 94,135)( 99,103)(101,107)(105,111)(109,115)
        (113,116)(114,136)(117,122)(118,125)(119,139)(121,126)(124,130)(128,134)(129,140)(132,138)(133,144)(137,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 71)( 40, 63)( 42, 48)( 43, 47)( 46, 68)( 50, 56)( 51, 92)( 52, 69)( 54, 60)( 55, 96)
        ( 58, 72)( 59,100)( 62, 67)( 64, 88)( 70, 89)( 73, 79)( 74,112)( 75,104)( 77, 83)( 78,116)( 81, 87)( 82,120)
        ( 85, 91)( 86,124)( 90, 95)( 93, 99)( 94,125)( 97,103)( 98,128)(101,107)(102,132)(105,108)(106,137)(109,115)
        (110,138)(111,134)(113,119)(114,142)(117,123)(118,143)(121,127)(122,140)(126,131)(129,135)(130,141)(133,136)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 80)( 40, 73)( 42, 48)( 43, 47)( 46, 77)( 50, 56)( 51,105)( 52, 78)( 54, 60)( 55,109)
        ( 58, 81)( 59,114)( 62, 68)( 63,119)( 64, 97)( 66, 72)( 67,120)( 70, 76)( 71,121)( 74,101)( 75,117)( 79,102)
        ( 82, 88)( 83,127)( 84,111)( 86, 92)( 87,131)( 90, 96)( 91,135)( 94,100)( 95,138)( 98,115)( 99,141)(103,108)
        (104,123)(106,112)(107,130)(110,113)(116,122)(118,126)(124,129)(125,142)(128,134)(132,137)(133,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 43)( 40, 70)( 42, 48)( 46, 52)( 47, 71)( 50, 56)( 51, 67)( 54, 60)( 55, 63)( 58, 73)
        ( 59, 90)( 62, 68)( 64, 89)( 66, 72)( 74, 80)( 75,101)( 76, 93)( 78, 84)( 79,105)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 91, 96)( 94, 97)( 95,114)( 98,104)( 99,124)(100,117)(102,108)(103,128)(106,112)(107,132)(110,116)
        (111,135)(115,120)(118,121)(119,136)(122,127)(123,139)(125,131)(126,144)(129,134)(130,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) ), 
  rec(
      invers := (  1,  5)(  2, 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)( 79,113)( 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)
        (111,139)(112,137)(114,119)(117,123)(118,140)(121,127)(122,142)(126,131)(129,135)(130,143)(133,136)(134,138)
        (141,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 43)( 40, 72)( 42, 48)( 46, 76)( 47, 73)( 50, 56)( 51,104)( 52, 77)( 54, 60)( 55,108)
        ( 58, 80)( 59,112)( 62, 68)( 63,101)( 64, 96)( 66, 71)( 67,102)( 70, 75)( 74,103)( 78, 97)( 79,100)( 81, 87)
        ( 82,120)( 83,115)( 85, 91)( 86,123)( 89, 95)( 90,127)( 93, 99)( 94,131)( 98,107)(105,111)(106,132)(109,114)
        (110,135)(113,118)(116,119)(117,136)(121,126)(122,139)(124,130)(125,144)(128,134)(129,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 43)( 40, 71)( 42, 48)( 46, 75)( 47, 72)( 50, 56)( 51,107)( 52, 76)( 54, 60)( 55,111)
        ( 58, 79)( 59,112)( 62, 67)( 63, 95)( 65, 70)( 66,101)( 69, 74)( 73,102)( 77,103)( 78, 99)( 80, 86)( 81,120)
        ( 82,115)( 84, 90)( 85,123)( 88, 94)( 89,127)( 92, 98)( 93,131)( 96,100)( 97,106)(104,110)(105,132)(108,114)
        (109,135)(113,118)(116,119)(117,136)(121,126)(122,139)(124,130)(125,144)(128,134)(129,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 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, 43)( 40, 72)( 42, 48)( 46, 76)( 47, 73)( 50, 56)( 51,108)( 52, 77)( 54, 60)( 55,112)
        ( 58, 80)( 59,113)( 62, 67)( 63,124)( 64, 96)( 66, 71)( 69, 75)( 70,125)( 74,103)( 78,104)( 79,100)( 81, 87)
        ( 82,132)( 83,116)( 85, 91)( 86,137)( 89, 95)( 90,134)( 93, 99)( 94,130)( 97,120)( 98,138)(101,122)(102,126)
        (105,111)(106,139)(107,123)(109,115)(110,142)(114,119)(117,128)(118,143)(121,127)(129,135)(131,141)(133,136)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 67)( 52, 78)( 54, 60)( 55, 63)
        ( 58, 81)( 59, 98)( 62, 68)( 64, 97)( 66, 72)( 70, 76)( 71, 79)( 75,101)( 80,102)( 82, 88)( 83,111)( 84,103)
        ( 86, 92)( 87,115)( 90, 96)( 91,119)( 94,100)( 95,123)( 99,106)(104,107)(105,124)(108,114)(109,132)(110,127)
        (112,118)(113,134)(116,122)(117,138)(120,126)(121,141)(125,130)(128,131)(129,142)(133,137)(135,140)(136,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144) ), 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, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 45)( 24, 42)( 26, 32)( 27, 71)( 28, 53)( 30, 36)( 31, 75)( 34, 47)
        ( 35, 79)( 38, 44)( 39, 63)( 40, 66)( 43, 59)( 46, 52)( 48, 60)( 50, 56)( 51, 80)( 54, 67)( 55, 83)( 58, 64)
        ( 62, 65)( 68, 74)( 69, 95)( 70, 87)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 81, 86)( 84, 90)( 85,104)( 88, 91)
        ( 89,107)( 92, 98)( 93,119)( 94,111)( 96,102)( 97,122)(100,106)(101,126)(105,110)(108,114)(109,127)(112,115)
        (113,130)(116,121)(117,141)(118,134)(120,125)(123,129)(124,142)(128,133)(131,137)(132,143)(135,139)(136,138)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 78)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 94)( 40, 73)( 42, 48)( 43, 97)( 46, 52)( 47,101)( 50, 56)( 51,105)( 54, 60)( 55,109)
        ( 58, 74)( 59,113)( 62, 67)( 63, 96)( 64, 89)( 66, 71)( 69, 72)( 70, 93)( 75, 81)( 76,125)( 77,117)( 79, 84)
        ( 80,129)( 83, 88)( 86, 92)( 87,130)( 90, 99)( 91,133)( 95,100)( 98,104)(102,108)(103,134)(106,112)(107,137)
        (110,116)(111,141)(114,120)(115,142)(118,122)(119,121)(123,128)(124,143)(126,132)(127,139)(131,136)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 82)
        ( 37, 43)( 38, 87)( 39, 73)( 41, 47)( 42, 90)( 45, 74)( 46, 94)( 49, 55)( 50,106)( 51, 75)( 53, 59)( 54,109)
        ( 57, 78)( 58,113)( 61, 67)( 62,125)( 63, 83)( 65, 71)( 66,129)( 69, 72)( 70, 86)( 76,102)( 77, 98)( 80, 85)
        ( 81,117)( 84,121)( 88, 93)( 89,130)( 91, 97)( 92,131)( 95,101)( 96,127)( 99,133)(100,123)(103,108)(104,141)
        (105,134)(107,112)(110,116)(111,142)(114,120)(115,140)(118,124)(119,136)(122,128)(126,132)(135,137)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 82)
        ( 37, 43)( 38, 91)( 39, 73)( 41, 47)( 42, 94)( 45, 74)( 46, 98)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,118)( 61, 67)( 62,129)( 63, 86)( 65, 71)( 66,130)( 69, 72)( 70, 90)( 76,106)( 77,102)( 80, 85)
        ( 81,121)( 83, 89)( 84,138)( 87,125)( 88,141)( 92, 97)( 93,131)( 95,101)( 96,127)( 99,105)(100,143)(103,133)
        (104,140)(107,113)(108,112)(109,134)(111,117)(115,120)(116,135)(119,124)(122,137)(123,136)(126,132)(128,142)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 79)( 28, 56)( 30, 35)( 31, 82)( 34, 60)
        ( 37, 43)( 38, 87)( 39, 73)( 41, 47)( 42, 90)( 45, 74)( 46, 94)( 49, 55)( 50,106)( 51, 75)( 53, 59)( 54,109)
        ( 57, 78)( 58,113)( 61, 67)( 62,125)( 63, 83)( 65, 71)( 66,129)( 69, 72)( 70, 86)( 76,102)( 77, 98)( 80, 85)
        ( 81,117)( 84,121)( 88, 93)( 89,130)( 91, 97)( 92,131)( 95,101)( 96,127)( 99,133)(100,123)(103,108)(104,141)
        (105,134)(107,112)(110,116)(111,142)(114,120)(115,140)(118,124)(119,136)(122,128)(126,132)(135,137)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 82)( 28, 56)( 30, 35)( 31, 86)( 34, 60)
        ( 37, 43)( 38, 91)( 39, 73)( 41, 47)( 42, 94)( 45, 74)( 46, 98)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,118)( 61, 67)( 62,129)( 63, 87)( 65, 71)( 66,130)( 69, 72)( 70, 90)( 76,106)( 77,102)( 79, 85)
        ( 80,138)( 81,121)( 83, 89)( 84,141)( 88,125)( 92, 97)( 93,131)( 95,101)( 96,127)( 99,105)(100,143)(103,133)
        (104,140)(107,113)(108,112)(109,134)(111,117)(115,120)(116,135)(119,124)(122,137)(123,136)(126,132)(128,142)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 83)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 95)( 40, 73)( 42, 47)( 43, 98)( 46, 74)( 49, 55)( 50,106)( 51, 75)( 53, 59)( 54,110)
        ( 57, 78)( 58,114)( 61, 67)( 62,126)( 63, 90)( 65, 71)( 66,127)( 69, 72)( 70, 94)( 76,102)( 77, 99)( 79, 85)
        ( 80,134)( 81,118)( 84, 89)( 87, 93)( 88,135)( 91,122)( 92,138)( 96,101)( 97,128)(100,124)(103,109)(104,139)
        (105,125)(107,113)(108,142)(111,117)(112,133)(115,121)(116,120)(119,130)(123,129)(131,137)(132,143)(136,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), 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)( 43,102)( 46, 74)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,118)( 61, 67)( 62,108)( 63, 94)( 65, 71)( 66,126)( 69, 72)( 70, 98)( 76,106)( 77,103)( 79, 85)
        ( 80,123)( 81,122)( 83, 89)( 84,131)( 87, 93)( 88,134)( 91, 97)( 92,135)( 95,112)( 96,138)(100,105)(101,127)
        (104,128)(107,113)(109,129)(111,117)(115,121)(116,139)(119,125)(120,142)(124,130)(132,137)(133,143)(136,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), 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, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 40, 46)( 41, 68)( 44, 70)( 45, 65)( 48, 54)( 49, 97)( 50, 71)( 52, 58)( 53,101)( 56, 74)
        ( 57,105)( 60, 66)( 61, 73)( 62, 90)( 64, 69)( 72, 93)( 75, 81)( 76,117)( 77,109)( 79, 85)( 80,121)( 83, 89)
        ( 84,125)( 87, 92)( 88,129)( 91, 96)( 94,100)( 95,130)( 98,104)( 99,133)(102,108)(103,134)(106,112)(107,137)
        (110,113)(111,141)(114,120)(115,119)(116,142)(118,124)(122,128)(123,143)(126,132)(127,139)(131,136)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 40, 46)( 41, 68)( 44, 70)( 45, 65)( 48, 54)( 49, 98)( 50, 71)( 52, 58)( 53,101)( 56, 74)
        ( 57,105)( 60, 66)( 61, 73)( 62, 90)( 64, 69)( 72, 94)( 75, 81)( 76,117)( 77,109)( 79, 85)( 80,121)( 83, 89)
        ( 84,125)( 87, 93)( 88,129)( 91, 97)( 92,130)( 95,100)( 96,133)( 99,104)(102,108)(103,134)(106,112)(107,137)
        (110,113)(111,141)(114,120)(115,119)(116,142)(118,124)(122,128)(123,143)(126,132)(127,139)(131,136)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 66)( 23, 46)( 24, 43)( 26, 32)( 27, 77)( 28, 54)( 30, 36)( 31, 81)( 34, 58)
        ( 35, 85)( 38, 42)( 40, 45)( 41, 67)( 44, 70)( 47, 53)( 48, 64)( 49, 71)( 51, 57)( 52, 60)( 55, 73)( 56, 90)
        ( 59, 65)( 61, 89)( 63, 69)( 68, 72)( 74, 80)( 75,101)( 76, 93)( 78, 84)( 79,105)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 91, 96)( 94, 97)( 95,114)( 98,104)( 99,125)(100,117)(102,108)(103,129)(106,112)(107,133)(110,116)
        (111,137)(115,120)(118,121)(119,138)(122,128)(123,127)(124,141)(126,132)(130,136)(131,142)(134,140)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 66)( 23, 47)( 24, 43)( 26, 32)( 27, 78)( 28, 54)( 30, 36)( 31, 82)( 34, 58)
        ( 35, 85)( 38, 42)( 40, 46)( 41, 67)( 44, 70)( 45, 94)( 48, 53)( 49, 71)( 51, 57)( 52,102)( 55, 74)( 56,105)
        ( 59, 65)( 60,117)( 61, 89)( 63, 69)( 64,121)( 68, 93)( 72,101)( 73, 97)( 75, 81)( 76, 91)( 77,109)( 79, 84)
        ( 80, 87)( 83, 88)( 86, 92)( 90,113)( 95,100)( 96,122)( 98,125)( 99,130)(103,108)(104,126)(106,112)(107,138)
        (110,116)(111,141)(114,120)(115,135)(118,124)(119,132)(123,129)(127,137)(128,133)(131,136)(134,142)(139,144)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)( 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  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, 98)( 50, 71)( 52, 58)( 53,102)( 56, 74)
        ( 57,106)( 60, 65)( 61, 97)( 62, 90)( 64, 69)( 68, 94)( 72, 91)( 73, 96)( 75, 81)( 76,118)( 77,110)( 79, 85)
        ( 80,122)( 83, 89)( 84,125)( 87, 93)( 88,129)( 92,101)( 99,105)(100,130)(103,109)(104,133)(107,113)(108,137)
        (111,115)(112,114)(116,121)(117,138)(119,124)(120,142)(123,128)(126,132)(127,143)(131,136)(134,140)(135,144)
        (139,141),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 49,106)( 50, 71)( 52, 58)( 53,109)( 56, 74)
        ( 57,113)( 60, 65)( 61, 97)( 62, 90)( 64, 69)( 68, 94)( 72,102)( 73, 98)( 75, 81)( 76,125)( 77,114)( 79, 85)
        ( 80,129)( 83, 89)( 84,133)( 87, 93)( 88,137)( 91,100)( 92,120)( 96,101)( 99,117)(103,108)(104,141)(105,118)
        (107,112)(110,116)(111,142)(115,121)(119,138)(122,128)(123,135)(124,143)(126,132)(127,131)(130,136)(134,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)(101,126)(102,119)(104,110)(105,129)(108,114)(109,133)
        (112,118)(113,137)(117,122)(120,123)(121,138)(124,128)(125,141)(127,132)(130,136)(131,142)(134,140)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 65)( 23, 44)( 24, 42)( 26, 32)( 27, 70)( 28, 52)( 30, 36)( 31, 74)( 34, 56)
        ( 35, 78)( 38, 43)( 39, 47)( 40, 62)( 45, 51)( 46, 58)( 49, 55)( 50, 83)( 53, 66)( 54, 86)( 57, 63)( 59, 82)
        ( 61, 64)( 67, 73)( 68, 98)( 69, 90)( 71, 77)( 72,102)( 75, 81)( 76,106)( 79, 85)( 80,110)( 84, 89)( 87, 93)
        ( 88,111)( 91, 94)( 92,114)( 95,101)( 96,126)( 97,118)( 99,105)(100,130)(103,109)(104,134)(107,113)(108,138)
        (112,117)(115,121)(116,139)(119,122)(120,142)(123,129)(124,136)(125,143)(127,133)(128,132)(131,137)(135,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), 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)(111,142)(114,120)(115,143)(118,124)(119,139)(123,128)(126,132)(127,140)(130,136)(131,135)(134,137)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      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, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 81)( 34, 60)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 66)( 42, 48)( 43, 97)( 46, 70)( 47,101)( 50, 55)( 51,113)( 52, 71)( 54, 59)
        ( 57, 74)( 58,114)( 61, 67)( 62, 96)( 63, 89)( 65, 68)( 72,109)( 73,105)( 75, 80)( 76,133)( 77,117)( 79, 84)
        ( 82, 88)( 83,134)( 86, 92)( 87,137)( 90,121)( 91,138)( 94,100)( 95,122)( 98,104)( 99,123)(102,108)(103,142)
        (106,125)(107,132)(110,116)(111,127)(112,126)(115,120)(118,129)(119,128)(124,141)(130,136)(131,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ), 
  rec(
      invers := (  1,  5)(  2, 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)( 51,110)( 52, 72)( 54, 60)
        ( 55,114)( 58, 75)( 59, 74)( 62, 68)( 63, 97)( 64, 90)( 66, 69)( 73,106)( 76, 81)( 77,115)( 79, 85)( 80,123)
        ( 83, 89)( 84,126)( 87, 93)( 88,130)( 91,118)( 92,131)( 95,101)( 96,119)( 99,105)(100,120)(103,109)(104,135)
        (107,113)(108,138)(111,117)(112,142)(116,122)(121,134)(124,129)(125,143)(127,133)(128,140)(132,137)(136,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) ), rec(
      invers := (  1,  5)(  2, 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)(109,141)
        (110,134)(112,118)(113,142)(116,122)(117,143)(120,126)(121,139)(125,130)(128,133)(129,140)(132,136)(135,137)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 58)( 28, 57)( 30, 36)( 31, 76)( 34, 61)
        ( 35, 79)( 38, 44)( 39, 87)( 40, 67)( 42, 48)( 43, 91)( 46, 71)( 47, 95)( 50, 56)( 51,106)( 52, 72)( 54, 60)
        ( 55,110)( 59, 75)( 62, 68)( 63, 90)( 64, 83)( 66, 69)( 73,102)( 74, 99)( 77, 82)( 78,111)( 80, 86)( 81,123)
        ( 84,114)( 85,126)( 88, 94)( 89,115)( 92, 98)( 93,134)( 96,101)( 97,135)(100,118)(103,109)(104,138)(105,119)
        (107,113)(108,142)(112,122)(116,137)(117,130)(120,131)(121,136)(124,129)(125,143)(127,133)(128,140)(132,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 64)( 28, 57)( 30, 36)( 31, 35)( 34, 61)
        ( 38, 44)( 39, 85)( 40, 73)( 42, 48)( 43, 88)( 46, 76)( 47, 92)( 50, 56)( 51,104)( 52, 77)( 54, 60)( 55,108)
        ( 58, 80)( 59,111)( 62, 68)( 63, 81)( 66, 72)( 67,119)( 70, 75)( 71,123)( 74, 84)( 78,100)( 79, 96)( 82,122)
        ( 83,115)( 86, 91)( 87,124)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,127)( 98,144)(101,107)(102,117)(103,128)
        (105,110)(106,113)(109,114)(112,118)(116,131)(120,126)(121,132)(125,135)(129,134)(130,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 31)( 28, 56)( 30, 36)( 34, 60)( 35, 57)
        ( 38, 43)( 39, 88)( 40, 72)( 42, 47)( 45, 76)( 46, 89)( 49, 55)( 50,100)( 51, 77)( 53, 59)( 54,104)( 58, 83)
        ( 61, 67)( 62,112)( 63, 80)( 65, 71)( 66,113)( 69, 75)( 70,116)( 73, 84)( 74,120)( 78, 96)( 79, 92)( 81,108)
        ( 82,105)( 85, 91)( 86,135)( 87,125)( 90, 95)( 93,126)( 94,136)( 97,103)( 98,142)( 99,127)(101,107)(102,143)
        (106,133)(109,115)(110,139)(111,130)(114,119)(117,123)(118,140)(121,124)(122,134)(128,131)(129,138)(132,144)
        (137,141),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 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, 31)( 28, 57)( 30, 36)( 34, 61)( 35, 58)
        ( 38, 44)( 39, 86)( 40, 73)( 42, 48)( 43, 89)( 46, 77)( 47, 90)( 50, 56)( 51,101)( 52, 78)( 54, 60)( 55,105)
        ( 59, 84)( 62, 68)( 63,113)( 64, 81)( 66, 72)( 67,117)( 70, 76)( 71,120)( 74, 85)( 75,124)( 79, 97)( 80, 93)
        ( 82,109)( 83,106)( 87, 92)( 88,127)( 91, 96)( 94,131)( 95,128)( 98,104)( 99,136)(100,132)(102,108)(103,144)
        (107,138)(110,116)(111,133)(112,135)(114,119)(115,140)(118,123)(121,126)(122,141)(125,130)(129,142)(134,139)
        (137,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      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, 98)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,103)( 50, 56)( 51,114)( 52, 76)( 54, 57)
        ( 55, 79)( 60, 66)( 61,122)( 62, 90)( 64, 70)( 65, 97)( 68, 74)( 69, 73)( 72, 94)( 77,110)( 78,106)( 81, 86)
        ( 82,115)( 84, 89)( 85,131)( 88, 93)( 91,118)( 92,132)( 95,101)( 96,123)( 99,105)(100,138)(104,109)(107,126)
        (108,139)(111,117)(112,136)(113,127)(116,130)(119,125)(120,143)(121,134)(124,141)(128,135)(129,142)(133,137)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), rec(
      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)( 61,125)( 62, 91)( 64, 70)( 65, 98)( 68, 74)( 69, 73)( 72, 95)( 77,115)( 78,111)( 81, 86)
        ( 82,119)( 84, 90)( 85,130)( 88, 94)( 89,133)( 92,122)( 93,137)( 96,102)( 97,126)(100,106)(101,143)(104,110)
        (105,139)(108,114)(109,135)(112,117)(113,132)(116,121)(120,129)(123,128)(124,141)(127,142)(131,136)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      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)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,117)( 52, 76)( 54, 57)
        ( 55, 79)( 60, 66)( 61, 73)( 62, 91)( 64, 70)( 65, 69)( 68, 74)( 72, 95)( 77,113)( 78,110)( 81, 86)( 82,118)
        ( 84, 90)( 85,126)( 88, 94)( 89,129)( 92, 98)( 93,133)( 96,101)( 97,137)(100,105)(103,109)(104,138)(107,112)
        (108,141)(111,121)(114,120)(115,128)(116,122)(119,125)(123,131)(124,142)(127,132)(130,136)(134,140)(135,143)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 35)( 19, 63)( 23, 47)( 24, 43)( 26, 30)( 28, 34)( 29, 52)( 32, 55)( 33, 76)( 36, 42)
        ( 37, 84)( 38, 67)( 40, 46)( 41, 87)( 44, 71)( 45, 90)( 48, 54)( 49,101)( 50, 72)( 53, 75)( 56, 62)( 57,109)
        ( 58, 79)( 60, 66)( 61,113)( 64, 70)( 65,117)( 68, 83)( 69,121)( 73, 98)( 74, 94)( 77, 82)( 78,102)( 80,105)
        ( 81,134)( 85, 89)( 86,125)( 88, 93)( 91, 97)( 92,126)( 95,129)( 96,141)( 99,104)(100,130)(103,133)(106,112)
        (107,119)(108,137)(110,116)(111,115)(114,120)(118,124)(122,128)(123,138)(127,144)(131,136)(132,142)(135,140)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 35)( 19, 63)( 23, 47)( 24, 43)( 26, 30)( 28, 34)( 29, 52)( 32, 55)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 67)( 40, 46)( 41, 90)( 44, 71)( 45, 94)( 48, 54)( 49,102)( 50, 72)( 53, 75)( 56, 62)( 57,109)
        ( 58, 79)( 60, 66)( 61,113)( 64, 70)( 65,117)( 68, 83)( 69,118)( 73, 98)( 74, 95)( 77, 82)( 78,103)( 80,105)
        ( 81,100)( 84, 89)( 85,133)( 86,121)( 88, 93)( 91, 97)( 92,134)( 96,125)( 99,104)(101,126)(106,112)(107,131)
        (108,127)(110,116)(111,137)(114,120)(115,141)(119,124)(122,129)(123,142)(128,135)(130,136)(132,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      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, 74)( 28, 50)( 30, 36)( 31, 78)( 34, 54)
        ( 35, 82)( 38, 44)( 39, 94)( 40, 66)( 42, 47)( 43, 98)( 46, 70)( 49, 52)( 51, 71)( 55, 61)( 56,106)( 57, 86)
        ( 59, 65)( 60,110)( 63, 69)( 64,114)( 67, 90)( 68,118)( 72, 77)( 73, 99)( 75, 81)( 76,100)( 79, 85)( 80, 96)
        ( 83, 89)( 84, 92)( 87,102)( 88,123)( 91, 97)( 93,122)( 95,101)(103,109)(104,133)(105,126)(107,113)(108,134)
        (111,117)(112,137)(115,121)(116,141)(119,125)(120,132)(124,128)(127,129)(130,136)(131,142)(135,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 72)
        ( 37, 43)( 38, 84)( 39, 60)( 41, 47)( 42, 67)( 49, 55)( 50, 92)( 51, 76)( 53, 59)( 54, 96)( 57, 63)( 58, 97)
        ( 61, 80)( 62,100)( 65, 71)( 66, 85)( 69, 75)( 70,107)( 73, 79)( 74,111)( 77, 88)( 78,115)( 81, 87)( 82,127)
        ( 83,103)( 86,110)( 89, 95)( 90,126)( 91,119)( 93, 99)( 94,105)( 98,102)(101,106)(104,123)(108,114)(109,128)
        (112,118)(113,135)(116,122)(117,139)(120,131)(121,144)(124,130)(125,132)(129,138)(133,137)(134,141)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 72)
        ( 38, 44)( 39, 84)( 40, 60)( 42, 47)( 43, 67)( 49, 55)( 50, 92)( 51, 76)( 53, 59)( 54, 96)( 57, 63)( 58, 97)
        ( 61, 80)( 62,100)( 65, 71)( 66, 85)( 69, 75)( 70,107)( 73, 79)( 74,111)( 77, 88)( 78,115)( 81, 87)( 82,127)
        ( 83,103)( 86,110)( 89, 95)( 90,126)( 91,119)( 93, 99)( 94,105)( 98,102)(101,106)(104,123)(108,114)(109,128)
        (112,118)(113,135)(116,122)(117,139)(120,131)(121,140)(124,130)(125,132)(129,138)(133,137)(134,144)(136,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 41)(  8, 17)( 10, 24)( 11, 42)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 33)( 23, 38)( 25, 31)( 26, 54)( 27, 46)( 29, 35)( 30, 58)( 34, 45)( 37, 40)
        ( 43, 49)( 44, 59)( 47, 50)( 48, 62)( 51, 57)( 52, 74)( 53, 66)( 55, 61)( 56, 78)( 60, 65)( 63, 69)( 64, 79)
        ( 67, 70)( 68, 82)( 71, 77)( 72, 94)( 73, 86)( 75, 81)( 76, 98)( 80, 85)( 83, 89)( 84, 99)( 87, 90)( 88,102)
        ( 91, 97)( 92,114)( 93,106)( 95,101)( 96,118)(100,105)(103,109)(104,119)(107,110)(108,122)(111,117)(112,134)
        (113,126)(115,121)(116,138)(120,125)(123,129)(124,139)(127,130)(128,142)(131,137)(132,136)(133,143)(135,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144) ), 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, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 76)( 34, 55)
        ( 35, 79)( 38, 41)( 40, 67)( 44, 50)( 45, 91)( 46, 68)( 48, 54)( 49, 95)( 52, 71)( 53, 99)( 56, 62)( 57,110)
        ( 58, 83)( 60, 66)( 61,114)( 64, 70)( 65,118)( 69, 87)( 72, 78)( 73,126)( 74,103)( 77, 82)( 80, 86)( 81,127)
        ( 84,106)( 85,130)( 88, 94)( 89,135)( 90,119)( 92, 98)( 93,138)( 96,102)( 97,141)(100,105)(101,125)(104,122)
        (107,113)(108,120)(109,134)(111,117)(112,116)(115,121)(123,129)(124,142)(128,133)(131,137)(132,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144) ), 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, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 79)( 34, 55)
        ( 35, 83)( 38, 41)( 40, 67)( 44, 50)( 45, 95)( 46, 68)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,110)
        ( 58, 87)( 60, 66)( 61,114)( 64, 70)( 65,117)( 69, 91)( 72, 78)( 73,121)( 74,104)( 76, 82)( 77,125)( 80, 86)
        ( 81,129)( 84, 90)( 85,133)( 88,106)( 89,137)( 92, 98)( 93,108)( 94,118)( 96,102)( 97,142)(100,105)(101,124)
        (107,113)(109,141)(111,116)(112,119)(115,120)(122,128)(123,143)(126,132)(127,139)(130,136)(131,135)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 18,143)( 19, 36)( 23, 40)( 25, 31)( 26, 56)( 27, 48)( 29, 35)( 30, 60)( 33, 46)( 34, 64)
        ( 37,144)( 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)(114,135)(115,128)(117,123)(118,139)(121,127)(122,140)(126,131)(129,132)(130,141)(133,138)(134,137)
        (136,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), 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)( 18,143)( 19, 37)( 23, 34)( 24, 41)( 26, 32)( 27, 56)( 28, 48)( 30, 36)( 31, 60)( 35, 47)
        ( 38,144)( 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)(114,135)(115,128)(117,123)(118,139)(122,127)(125,131)(126,140)(129,132)(130,141)(133,138)(134,137)
        (136,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), 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)( 18,143)( 19, 37)( 24, 40)( 26, 32)( 27, 49)( 28, 41)( 30, 36)( 31, 53)( 35, 44)( 38,144)
        ( 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)(111,128)
        (112,121)(114,120)(115,132)(119,124)(122,125)(123,133)(126,131)(127,136)(129,135)(130,142)(134,139)(137,141)
        (138,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) ), 
  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)( 18,143)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 47)
        ( 35, 69)( 38,144)( 40, 44)( 42, 48)( 46, 52)( 50, 56)( 51, 70)( 54, 57)( 55, 73)( 58, 64)( 59, 85)( 60, 77)
        ( 62, 68)( 63, 89)( 66, 72)( 67, 93)( 71, 76)( 74, 80)( 75, 94)( 78, 81)( 79, 97)( 82, 88)( 83,109)( 84,101)
        ( 86, 92)( 87,113)( 90, 96)( 91,117)( 95,100)( 98,104)( 99,118)(102,105)(103,121)(106,112)(107,132)(108,125)
        (110,116)(111,136)(114,120)(115,140)(119,124)(122,128)(123,141)(126,129)(127,138)(130,135)(131,134)(133,139)
        (137,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) ), 
  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)( 18,143)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 64)( 28, 53)( 30, 36)( 31, 68)( 34, 57)
        ( 35, 72)( 38,144)( 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)(118,142)(119,141)(121,127)(122,138)(125,131)(126,134)(130,135)(133,139)
        (137,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) 
     ), 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)( 18,143)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,144)( 40, 44)( 42, 58)( 46, 52)( 47, 78)( 48, 59)( 50, 56)( 51, 81)( 54, 61)( 55, 85)( 60, 77)
        ( 62, 68)( 63, 97)( 64, 89)( 66, 72)( 67,101)( 70, 76)( 71,105)( 74, 80)( 75,109)( 79, 84)( 82, 88)( 83,110)
        ( 86, 92)( 87,113)( 90, 93)( 91,117)( 94,100)( 95,128)( 96,121)( 98,104)( 99,132)(102,108)(103,136)(106,112)
        (107,140)(111,116)(114,120)(115,141)(118,124)(119,138)(122,125)(123,134)(126,131)(127,130)(129,135)(133,139)
        (137,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)(143,144) ), 
  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)( 18,143)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,144)( 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)( 90,117)( 93, 96)( 94,120)( 97,103)( 98,131)( 99,124)(101,107)(102,135)(105,111)
        (106,139)(110,115)(113,119)(114,140)(118,123)(121,127)(122,141)(125,128)(126,137)(129,134)(130,133)(132,138)
        (136,142),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), 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, 37)( 19, 36)( 23, 44)( 25, 31)( 26, 67)( 27, 52)( 29, 35)( 30, 71)( 33, 56)( 34, 75)
        ( 38, 43)( 39, 61)( 41, 47)( 42, 58)( 45, 51)( 46, 80)( 49, 55)( 50, 83)( 53, 63)( 54, 87)( 57, 62)( 59, 79)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 90)( 85,112)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,129)( 98,123)(100,106)(101,133)(104,110)(105,134)(108,114)
        (109,137)(113,118)(116,122)(117,138)(120,126)(121,141)(124,127)(125,142)(128,132)(130,136)(131,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 37)( 19, 36)( 23, 43)( 25, 31)( 26, 67)( 27, 51)( 29, 35)( 30, 71)( 33, 55)( 34, 75)
        ( 38, 42)( 39, 60)( 41, 46)( 44, 50)( 45, 61)( 48, 54)( 49, 57)( 52, 63)( 53, 80)( 56, 62)( 58, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 81, 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)
        (113,140)(114,131)(116,122)(117,137)(120,126)(121,141)(124,130)(125,142)(129,134)(132,135)(133,143)(136,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), 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, 37)( 19, 36)( 23, 44)( 25, 31)( 26, 68)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 61)( 41, 47)( 42, 85)( 45, 51)( 46, 88)( 49, 55)( 50, 92)( 53, 64)( 54, 96)( 57, 63)( 58,108)
        ( 59, 80)( 62, 84)( 65, 71)( 66,116)( 67,100)( 69, 75)( 70,120)( 73, 79)( 74,124)( 77, 83)( 78,125)( 81,104)
        ( 82,122)( 86, 91)( 87,109)( 89, 95)( 90,128)( 93, 99)( 94,131)( 97,103)( 98,135)(101,112)(102,140)(105,111)
        (106,141)(107,118)(110,127)(113,119)(114,144)(115,137)(117,123)(121,126)(129,134)(130,142)(132,138)(133,143)
        (136,139),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144) 
     ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 46)( 16, 33)( 18, 38)( 19, 37)( 23, 44)( 24, 42)( 26, 32)( 27, 60)( 28, 52)( 30, 36)( 31, 64)( 34, 50)
        ( 35, 68)( 39, 43)( 40, 47)( 45, 51)( 49, 55)( 53, 56)( 54, 69)( 57, 63)( 58, 80)( 59, 72)( 61, 67)( 62, 84)
        ( 65, 71)( 66, 88)( 70, 75)( 73, 76)( 74, 89)( 77, 83)( 78,100)( 79, 92)( 81, 87)( 82,104)( 85, 91)( 86,108)
        ( 90, 95)( 93, 96)( 94,109)( 97,103)( 98,120)( 99,112)(101,107)(102,124)(105,111)(106,128)(110,115)(113,116)
        (114,129)(117,123)(118,141)(119,132)(121,127)(122,138)(125,131)(126,142)(130,135)(133,136)(134,143)(137,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144) 
     ), 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, 51)( 46, 66)( 49, 55)( 50, 62)( 53, 59)( 54, 85)( 57, 68)( 58, 88)
        ( 61, 67)( 63, 84)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 81, 87)( 82,112)( 86, 91)
        ( 89, 95)( 90,113)( 93, 96)( 94,116)( 97,103)( 98,126)( 99,120)(101,107)(102,130)(105,111)(106,134)(109,115)
        (110,137)(114,119)(117,123)(118,138)(121,124)(122,141)(125,129)(127,133)(128,142)(131,136)(132,143)(135,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144) 
     ), 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)( 98,126)( 99,120)(101,107)(102,130)(105,111)(106,134)(110,115)
        (113,119)(114,135)(117,123)(118,138)(121,124)(122,141)(125,129)(127,133)(128,142)(131,137)(132,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144) 
     ), 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, 59)( 16, 33)( 18, 38)( 19, 37)( 23, 47)( 24, 44)( 26, 32)( 27, 67)( 28, 55)( 30, 36)( 31, 71)( 34, 49)
        ( 35, 75)( 39, 43)( 40, 60)( 42, 46)( 45, 61)( 48, 54)( 50, 62)( 52, 58)( 53, 76)( 56, 63)( 57, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,136)(114,131)(116,122)(117,137)(120,126)(121,139)(125,130)(128,134)(129,140)(132,135)(133,144)(138,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), 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, 59)( 16, 33)( 18, 38)( 19, 37)( 23, 47)( 24, 44)( 26, 32)( 27, 67)( 28, 55)( 30, 36)( 31, 71)( 34, 49)
        ( 35, 75)( 39, 43)( 40, 60)( 42, 46)( 45, 61)( 48, 54)( 50, 62)( 52, 58)( 53, 76)( 56, 63)( 57, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,140)(114,131)(116,122)(117,137)(120,126)(121,141)(125,130)(128,134)(129,142)(132,135)(133,143)(136,139)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144) ), 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)( 74,113)( 75,107)( 77, 83)( 78,117)( 81, 87)( 82,121)
        ( 85, 91)( 86,125)( 89, 94)( 90,129)( 93, 98)( 96,102)( 97,130)(100,106)(101,133)(104,110)(105,137)(108,111)
        (109,141)(112,116)(114,120)(115,142)(118,124)(119,143)(122,128)(123,139)(126,132)(127,135)(131,136)(134,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)(109,139)
        (110,132)(112,118)(113,144)(116,122)(117,141)(120,126)(121,137)(125,130)(128,134)(129,138)(133,135)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 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, 96)( 50, 56)( 51,107)( 52, 70)( 54, 60)( 55,111)
        ( 58, 73)( 59,115)( 62, 68)( 63, 98)( 64, 89)( 67, 93)( 71,103)( 72,100)( 74, 80)( 75,124)( 76,119)( 78, 84)
        ( 79,127)( 82, 88)( 83,128)( 86, 92)( 87,131)( 90,101)( 91,106)( 95, 99)( 97,102)(104,110)(105,132)(108,114)
        (109,135)(112,118)(113,139)(116,122)(117,144)(120,123)(121,141)(125,130)(126,137)(129,134)(133,138)(136,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 51,107)( 52, 70)( 54, 60)( 55,111)
        ( 58, 73)( 59,115)( 62, 68)( 63,123)( 64, 89)( 67, 93)( 71,103)( 72,100)( 74, 80)( 75,131)( 76,119)( 78, 84)
        ( 79,132)( 82, 88)( 83,133)( 86, 92)( 87,129)( 90,105)( 91,135)( 95, 99)( 96,124)( 98,102)(101,125)(104,110)
        (106,126)(108,114)(109,136)(112,118)(113,139)(116,122)(117,144)(120,127)(121,141)(128,134)(130,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144) ), rec(
      invers := (  1,  5)(  2, 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)( 51,107)( 52, 70)( 54, 60)( 55,111)
        ( 58, 73)( 59,115)( 62, 68)( 63,123)( 64, 89)( 67, 93)( 71,103)( 72,100)( 74, 80)( 75,131)( 76,119)( 78, 84)
        ( 79,136)( 82, 88)( 83,133)( 86, 92)( 87,129)( 90,105)( 91,137)( 95, 99)( 96,124)( 98,102)(101,125)(104,110)
        (106,126)(108,114)(109,138)(112,118)(113,141)(116,122)(117,142)(120,127)(121,143)(128,134)(130,140)(132,135)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 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, 98)( 74, 78)( 76, 82)( 77,115)( 80, 86)
        ( 81,127)( 84, 90)( 85,130)( 88,118)( 89,134)( 93, 97)( 94,123)( 96,101)( 99,120)(100,124)(103,109)(104,135)
        (105,121)(107,113)(108,138)(111,117)(112,141)(116,126)(119,125)(128,133)(129,142)(131,137)(132,143)(136,140)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144) ), 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, 70)( 40, 44)( 42, 58)( 46, 52)( 47, 77)( 48, 59)( 50, 56)( 51, 81)( 54, 61)( 55, 85)( 60, 73)( 62, 68)
        ( 63, 97)( 64, 89)( 66, 72)( 67,101)( 71, 76)( 74, 80)( 75,102)( 78, 84)( 79,105)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 90, 93)( 91,116)( 94,100)( 95,127)( 96,120)( 98,104)( 99,131)(103,108)(106,112)(107,132)(110,115)
        (111,135)(114,119)(117,123)(118,136)(121,124)(122,139)(125,130)(126,144)(128,134)(129,141)(133,138)(137,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144) 
     ), rec(
      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, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 72)( 28, 58)( 30, 36)( 31, 75)( 34, 59)
        ( 35, 79)( 39, 44)( 40, 64)( 42, 48)( 43, 88)( 46, 67)( 47, 91)( 50, 56)( 51,103)( 52, 68)( 54, 57)( 55, 71)
        ( 60, 66)( 61,111)( 62, 83)( 65, 87)( 69, 99)( 70, 95)( 73, 78)( 74,104)( 76, 82)( 77,120)( 80, 86)( 81,123)
        ( 84,107)( 85,126)( 89, 94)( 90,112)( 92, 98)( 93,135)( 96,115)( 97,136)(100,106)(101,141)(102,116)(105,119)
        (108,114)(109,139)(110,130)(113,134)(117,131)(118,138)(121,125)(122,142)(124,129)(127,133)(128,143)(132,144)
        (137,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144) ), 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, 98)( 52, 63)( 53,101)( 57, 71)( 58, 68)
        ( 61, 91)( 62, 87)( 64, 70)( 65,121)( 66,105)( 69,109)( 72, 78)( 73,126)( 74,110)( 76, 82)( 77,127)( 80, 86)
        ( 81,129)( 84, 90)( 85,133)( 88,113)( 89,137)( 92, 97)( 93,103)( 94,114)( 96,100)( 99,104)(102,108)(106,117)
        (107,115)(111,125)(112,122)(116,141)(118,124)(119,135)(120,142)(123,131)(128,132)(130,136)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)( 73,128)( 74,112)( 76, 82)( 77,129)( 80, 86)
        ( 81,131)( 84, 90)( 85,135)( 88,115)( 89,139)( 92, 98)( 93,105)( 94,116)( 96,102)( 97,101)(100,106)(104,110)
        (108,119)(109,117)(113,127)(114,124)(118,142)(120,126)(121,137)(122,143)(125,133)(130,134)(132,138)(136,141)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144) ), 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, 73)( 34, 53)( 35, 76)
        ( 38, 44)( 39, 88)( 40, 65)( 42, 48)( 43, 92)( 46, 68)( 47, 96)( 51, 72)( 52, 69)( 54, 60)( 55,112)( 56, 80)
        ( 58, 64)( 59,116)( 62, 67)( 63,119)( 66, 84)( 70,104)( 71,100)( 74, 79)( 75,105)( 77, 83)( 78,126)( 81,108)
        ( 82,129)( 85, 91)( 86,141)( 87,120)( 89, 95)( 90,142)( 93, 99)( 94,135)( 97,103)( 98,131)(101,123)(102,128)
        (106,125)(107,124)(109,115)(110,139)(111,133)(113,118)(114,140)(117,122)(121,137)(127,132)(130,136)(134,143)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 88)( 40, 65)( 42, 48)( 43, 92)( 46, 69)( 47, 96)( 51, 73)( 52, 70)( 54, 60)( 55,112)( 56, 81)
        ( 58, 64)( 59,116)( 62, 68)( 63,117)( 66, 85)( 67,120)( 71,104)( 72,100)( 75, 80)( 76,105)( 78, 84)( 79,131)
        ( 82,108)( 83,134)( 86, 91)( 87,124)( 89, 95)( 90,143)( 93, 99)( 94,140)( 97,103)( 98,136)(101,128)(102,133)
        (106,130)(107,129)(109,115)(110,126)(111,138)(113,119)(114,122)(118,123)(121,127)(125,142)(132,137)(135,141)
        (139,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144) 
     ), 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, 88)( 40, 65)( 42, 48)( 43, 92)( 46, 69)( 47, 96)( 51, 73)( 52, 70)( 54, 60)( 55,112)( 56, 81)
        ( 58, 64)( 59,116)( 62, 68)( 63,119)( 66, 85)( 67,123)( 71,104)( 72,100)( 75, 80)( 76,105)( 78, 84)( 79,134)
        ( 82,108)( 83,137)( 86, 91)( 87,127)( 89, 95)( 90,128)( 93, 99)( 94,143)( 97,103)( 98,139)(101,131)(102,136)
        (106,133)(107,132)(109,115)(110,125)(111,141)(113,118)(114,121)(117,122)(120,126)(124,130)(129,142)(135,140)
        (138,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 92)( 46, 69)( 47, 96)( 51, 73)( 52, 70)( 54, 60)( 55,112)( 56, 81)
        ( 58, 64)( 59,117)( 62, 68)( 63,114)( 66, 85)( 67,110)( 71,104)( 72,100)( 75, 80)( 76,105)( 78, 84)( 79,127)
        ( 82,108)( 83,130)( 86, 91)( 87,138)( 88,118)( 90, 95)( 93, 99)( 94,139)( 97,103)( 98,136)(101,122)(102,141)
        (106,126)(107,123)(109,115)(111,121)(113,116)(119,134)(120,131)(124,129)(125,142)(128,133)(132,143)(135,140)
        (137,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144) ), 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)(127,136)(131,133)(134,140)(135,142)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)
        ( 45, 46, 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 79)( 51, 66)( 52, 82)( 55, 61)( 56, 67)( 59, 65)( 60, 90)
        ( 63, 70)( 64, 94)( 68, 93)( 69, 86)( 71, 77)( 72,110)( 73, 98)( 75, 81)( 76,114)( 80, 85)( 83, 89)( 84,115)
        ( 87,102)( 88,118)( 91, 97)( 92,103)( 95,101)( 96,125)( 99,106)(100,129)(104,128)(105,121)(107,113)(108,140)
        (109,133)(111,117)(112,123)(116,120)(119,124)(122,137)(126,132)(127,138)(130,136)(131,144)(134,142)(135,141)
        (139,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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)(119,136)(120,129)(123,128)(126,132)(127,137)(130,133)(131,140)(134,139)(135,144)(138,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135)(136,137,138,139)(140,141,142)(143,144) ), 
  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)(131,140)(134,137)(135,144)(139,142)
        (141,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142)(143,144) ), 
  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, 63)( 31, 49)( 33, 39)( 34, 67)( 37, 52)
        ( 38, 71)( 42, 56)( 43, 53)( 45, 51)( 46, 87)( 47, 57)( 50, 60)( 54, 79)( 55, 75)( 58, 83)( 59, 80)( 61, 66)
        ( 62, 88)( 64, 70)( 65,100)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 91)( 77,111)( 81, 95)( 82, 92)( 84, 90)
        ( 85,127)( 86, 96)( 89, 99)( 93,119)( 94,115)( 97,123)( 98,120)(101,106)(102,128)(104,110)(105,138)(108,114)
        (109,139)(112,118)(113,141)(116,131)(117,136)(121,133)(122,132)(124,130)(125,143)(126,134)(129,137)(135,142)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 67)( 37, 52)
        ( 38, 71)( 42, 56)( 43, 53)( 45, 51)( 46, 87)( 47, 57)( 50, 60)( 54, 79)( 55, 75)( 58, 83)( 59, 80)( 61, 66)
        ( 62,103)( 63, 88)( 65, 70)( 68, 74)( 69,104)( 72, 78)( 73,107)( 76, 91)( 77,111)( 81, 95)( 82, 92)( 84, 90)
        ( 85,127)( 86, 96)( 89, 99)( 93,119)( 94,115)( 97,123)( 98,120)(100,106)(101,138)(102,128)(105,110)(108,114)
        (109,139)(112,118)(113,141)(116,131)(117,136)(121,133)(122,132)(124,130)(125,143)(126,134)(129,137)(135,142)
        (140,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 30)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 45)
        ( 16, 26)( 18, 29)( 19, 49)( 23, 37)( 24, 33)( 27, 41)( 28, 38)( 31, 36)( 32, 53)( 34, 57)( 35, 66)( 39, 61)
        ( 40, 58)( 42, 48)( 43, 81)( 44, 62)( 46, 52)( 47, 85)( 50, 56)( 51, 88)( 54, 65)( 55, 92)( 59, 73)( 60, 69)
        ( 63, 77)( 64, 74)( 67, 72)( 68, 96)( 70,100)( 71,109)( 75,104)( 76,101)( 78, 84)( 79,123)( 80,105)( 82, 87)
        ( 83,127)( 86, 91)( 89, 95)( 90,128)( 93, 99)( 94,131)( 97,108)( 98,132)(102,116)(103,112)(106,120)(107,117)
        (110,115)(111,135)(113,139)(114,144)(118,141)(119,140)(121,126)(122,142)(124,130)(125,137)(129,134)(133,138)
        (136,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144) 
     ), 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)(133,142)(136,139)(137,143)
        (141,144),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144) ), 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)( 99,125)(102,108)(103,132)(104,118)(107,120)(111,116)
        (112,121)(114,124)(115,137)(119,128)(122,136)(123,133)(126,131)(127,139)(129,135)(130,144)(134,141)(138,142)
        (140,143),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144) 
     ), 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, 74)
        ( 38, 61)( 39, 77)( 42, 48)( 43, 89)( 44, 62)( 46, 52)( 47, 93)( 50, 65)( 51, 97)( 55, 60)( 56, 66)( 58, 69)
        ( 59,106)( 63, 85)( 64, 81)( 67,105)( 68,101)( 70, 76)( 71,125)( 72,109)( 75, 80)( 78, 84)( 79,126)( 82,113)
        ( 83,123)( 86, 92)( 87,136)( 88,114)( 90, 96)( 91,141)( 94,100)( 95,138)( 98,104)( 99,134)(102,117)(103,142)
        (107,112)(108,118)(110,121)(111,119)(115,132)(116,128)(120,130)(122,127)(124,131)(129,143)(133,139)(135,144)
        (137,140),
      nbP := 144,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144) ), 
  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, 57)( 35, 41)( 36, 61)( 39, 42)
        ( 40, 65)( 43, 49)( 44, 77)( 45, 69)( 47, 53)( 48, 81)( 51, 56)( 52, 85)( 55, 60)( 58, 64)( 59, 86)( 62, 68)
        ( 63, 89)( 66, 72)( 67, 93)( 70, 73)( 71, 97)( 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)(107,134)(108,133)
        (110,116)(111,138)(114,120)(115,141)(119,124)(122,128)(123,142)(126,132)(127,143)(130,136)(131,140)(135,137)
        (139,144),
      nbP := 144,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 58)( 35, 41)( 36, 61)( 39, 42)
        ( 40, 65)( 43, 49)( 44, 77)( 45, 69)( 47, 53)( 48, 81)( 51, 57)( 52, 85)( 55, 60)( 56, 89)( 59, 64)( 62, 68)
        ( 63, 90)( 66, 72)( 67, 93)( 70, 73)( 71, 97)( 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)(107,134)(108,133)
        (110,116)(111,138)(114,120)(115,141)(118,124)(119,142)(123,128)(126,132)(127,143)(130,136)(131,140)(135,137)
        (139,144),
      nbP := 144,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  3)(  2, 12)(  4, 10)(  5, 34)(  6, 16)(  7, 11)(  8, 19)(  9, 37)( 13, 15)( 14, 23)( 17, 30)
        ( 18, 26)( 20, 25)( 21, 53)( 22, 41)( 24, 29)( 27, 45)( 28, 54)( 31, 36)( 32, 65)( 33, 46)( 35, 40)( 38, 44)
        ( 39, 66)( 42, 49)( 43, 69)( 47, 61)( 48, 57)( 50, 56)( 51, 85)( 52, 73)( 55, 60)( 58, 77)( 59, 86)( 62, 68)
        ( 63, 97)( 64, 78)( 67, 72)( 70, 76)( 71, 98)( 74, 81)( 75,101)( 79, 93)( 80, 89)( 82, 88)( 83,117)( 84,105)
        ( 87, 92)( 90,109)( 91,118)( 94,100)( 95,129)( 96,110)( 99,104)(102,108)(103,130)(106,113)(107,133)(111,125)
        (112,121)(114,120)(115,123)(116,137)(119,124)(122,141)(126,132)(127,135)(128,142)(131,136)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)
        ( 45, 46, 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), 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, 62)( 32, 38)( 33, 74)( 34, 48)( 36, 42)
        ( 37, 78)( 40, 46)( 41, 81)( 44, 51)( 45, 85)( 49, 70)( 50, 66)( 52, 58)( 53,101)( 54, 89)( 56, 61)( 57,105)
        ( 60, 65)( 63, 69)( 64,106)( 67, 93)( 68,109)( 71, 77)( 72,121)( 73, 94)( 75, 80)( 76,125)( 79, 84)( 82, 88)
        ( 83,126)( 86, 92)( 87,129)( 90, 97)( 91,133)( 95,117)( 96,113)( 98,104)( 99,115)(100,137)(102,108)(103,111)
        (107,112)(110,116)(114,141)(118,124)(119,135)(120,142)(122,128)(123,131)(127,132)(130,136)(134,140)(138,144)
        (139,143),
      nbP := 144,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144) ), rec(
      invers := (  1,  3)(  2,143)(  4,139)(  5,144)(  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)
        (140,142),
      nbP := 144,
      next := (  1,  2)(  3,  4,  5)(  6,  7,  8,  9)( 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24
         )( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144) ) ];
