return [ rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 27)(  7, 16)(  9, 20)( 10, 31)( 13, 19)( 14, 35)( 15, 21)
        ( 17, 23)( 18, 39)( 22, 32)( 24, 30)( 25, 51)( 26, 43)( 28, 34)( 29, 55)( 33, 38)( 36, 42)( 37, 56)( 40, 46)
        ( 41, 59)( 44, 47)( 45, 63)( 48, 54)( 49, 75)( 50, 67)( 52, 58)( 53, 79)( 57, 62)( 60, 66)( 61, 80)( 64, 70)
        ( 65, 83)( 68, 71)( 69, 87)( 72, 78)( 73, 99)( 74, 91)( 76, 82)( 77,103)( 81, 86)( 84, 90)( 85,104)( 88, 94)
        ( 89,107)( 92, 95)( 93,111)( 96,102)( 97,124)( 98,115)(100,106)(101,121)(105,110)(108,114)(109,122)(112,118)
        (113,117)(116,119)(120,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 24)(  7, 16)(  9, 19)( 10, 27)( 13, 18)( 14, 39)( 15, 20)
        ( 17, 23)( 21, 35)( 22, 31)( 25, 30)( 26, 40)( 28, 34)( 29, 48)( 32, 43)( 33, 51)( 36, 42)( 37, 63)( 38, 44)
        ( 41, 47)( 45, 59)( 46, 55)( 49, 54)( 50, 64)( 52, 58)( 53, 72)( 56, 67)( 57, 75)( 60, 66)( 61, 87)( 62, 68)
        ( 65, 71)( 69, 83)( 70, 79)( 73, 78)( 74, 88)( 76, 82)( 77, 96)( 80, 91)( 81, 99)( 84, 90)( 85,111)( 86, 92)
        ( 89, 95)( 93,107)( 94,103)( 97,102)( 98,112)(100,106)(101,118)(104,115)(105,121)(108,114)(109,122)(110,116)
        (113,117)(119,124)(120,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 11)(  6, 28)(  7, 16)(  9, 20)( 10, 32)( 13, 19)( 14, 44)( 15, 21)
        ( 17, 24)( 18, 48)( 22, 40)( 23, 36)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 39)( 34, 72)( 37, 56)
        ( 38, 76)( 41, 47)( 42, 88)( 43, 57)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 84)( 59, 80)
        ( 61, 67)( 62,115)( 63,104)( 65, 71)( 66,119)( 69, 75)( 70,124)( 73, 79)( 74,121)( 77, 83)( 78,117)( 81,108)
        ( 82,113)( 85, 91)( 86,106)( 87,109)( 89, 95)( 90,102)( 93, 99)( 94, 98)( 97,103)(101,107)(105,111)(110,114)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 65)( 24, 45)( 26, 32)( 27, 69)( 30, 49)( 31, 73)( 34, 40)( 35, 59)
        ( 36, 58)( 38, 44)( 39, 55)( 42, 48)( 43, 51)( 46, 61)( 47, 78)( 50, 56)( 52, 77)( 54, 60)( 62, 68)( 63, 88)
        ( 64, 81)( 66, 72)( 67, 92)( 70, 76)( 71, 96)( 74, 80)( 75,100)( 79, 84)( 82, 85)( 83,101)( 86, 91)( 87,104)
        ( 89, 95)( 90,109)( 93, 99)( 94,112)( 97,103)( 98,116)(102,107)(105,108)(106,117)(110,115)(111,120)(113,119)
        (114,124)(118,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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, 46)( 24, 45)( 26, 32)( 27, 66)( 30, 49)( 31, 69)( 34, 40)( 35, 75)
        ( 36, 61)( 38, 44)( 39, 71)( 42, 48)( 43, 68)( 47, 65)( 50, 56)( 51, 81)( 52, 73)( 54, 60)( 55, 85)( 58, 64)
        ( 59, 89)( 62, 77)( 63, 93)( 67, 72)( 70, 76)( 74, 78)( 79, 84)( 80, 97)( 82, 88)( 83,102)( 86, 92)( 87,105)
        ( 90, 96)( 91,108)( 94,100)( 95,112)( 98,101)( 99,116)(103,107)(104,119)(106,111)(109,115)(110,120)(113,118)
        (114,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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, 35)( 24, 42)( 26, 32)( 27, 58)( 30, 45)( 31, 61)( 34, 40)( 36, 57)
        ( 38, 44)( 39, 43)( 46, 52)( 47, 73)( 48, 65)( 50, 56)( 51, 77)( 54, 60)( 55, 81)( 59, 64)( 62, 68)( 63, 82)
        ( 66, 69)( 67, 85)( 70, 76)( 71, 96)( 72, 89)( 74, 80)( 75,100)( 78, 84)( 79,104)( 83, 88)( 86, 92)( 87,105)
        ( 90, 93)( 91,108)( 94, 99)( 95,112)( 97,103)( 98,117)(101,107)(102,119)(106,111)(109,115)(110,120)(113,116)
        (114,124)(118,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 35)(  8, 17)( 10, 21)( 11, 39)( 14, 20)( 15, 51)
        ( 16, 29)( 18, 33)( 19, 55)( 22, 28)( 23, 62)( 24, 43)( 26, 32)( 27, 66)( 30, 47)( 31, 70)( 34, 38)( 36, 42)
        ( 37, 56)( 40, 46)( 41, 53)( 44, 58)( 45, 49)( 48, 54)( 50, 74)( 52, 57)( 59, 65)( 60, 82)( 61, 75)( 63, 69)
        ( 64, 86)( 67, 73)( 68, 90)( 71, 77)( 72, 94)( 76, 78)( 79, 85)( 80,101)( 81, 95)( 83, 89)( 84,105)( 87, 93)
        ( 88,109)( 91, 97)( 92,113)( 96, 98)( 99,104)(100,114)(102,108)(103,118)(106,112)(107,121)(110,116)(111,122)
        (115,117)(119,124)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 36)
        ( 16, 29)( 18, 34)( 19, 33)( 22, 28)( 23, 53)( 24, 45)( 26, 32)( 27, 57)( 30, 39)( 31, 61)( 35, 40)( 38, 44)
        ( 42, 48)( 43, 62)( 46, 49)( 47, 65)( 50, 56)( 51, 77)( 52, 69)( 54, 60)( 55, 81)( 58, 64)( 59, 85)( 63, 68)
        ( 66, 72)( 67, 86)( 70, 73)( 71, 89)( 74, 80)( 75,101)( 76, 93)( 78, 84)( 79,104)( 82, 88)( 83,108)( 87, 92)
        ( 90, 96)( 91,109)( 94, 97)( 95,112)( 98,103)( 99,121)(100,116)(102,107)(105,111)(106,122)(110,115)(113,118)
        (114,123)(117,119)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)(119,120)
        (121,122,123,124) ), 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, 74)( 63,104)( 65, 71)( 66, 70)( 69, 75)( 73, 79)( 77,108)( 78,105)( 81, 87)( 82,115)( 83,109)
        ( 85, 91)( 86,119)( 89, 95)( 90,124)( 93, 99)( 94,121)( 97,103)( 98,117)(101,107)(102,113)(106,114)(110,111)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 77,117)( 78, 92)( 81, 86)( 84, 95)
        ( 85,118)( 89, 99)( 90, 96)( 93,115)( 94,111)( 97,121)( 98,113)(100,106)(101,123)(102,122)(105,110)(108,114)
        (109,124)(112,119)(116,120),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 54, 59)( 55, 69)( 57, 63)
        ( 58,109)( 61, 72)( 62,112)( 66, 92)( 67, 88)( 70,108)( 71, 90)( 73, 79)( 74,117)( 75,116)( 77, 83)( 78,118)
        ( 81, 87)( 82,114)( 85, 91)( 86,111)( 89,105)( 93, 99)( 94,120)( 95,106)( 97,103)( 98,124)(101,107)(102,122)
        (110,115)(113,119)(121,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 74)( 31, 60)( 33, 39)( 34, 78)
        ( 37, 64)( 38, 82)( 41, 47)( 42, 94)( 43, 65)( 45, 51)( 46, 98)( 49, 68)( 50,102)( 53, 59)( 54,114)( 55, 69)
        ( 58, 63)( 61, 72)( 62,115)( 66, 90)( 67, 86)( 70,110)( 71,106)( 73, 77)( 75, 81)( 76,116)( 79, 85)( 80,112)
        ( 83, 89)( 84,123)( 87,118)( 88,124)( 91, 97)( 92,104)( 93,119)( 95,101)( 96,100)( 99,105)(103,109)(107,121)
        (108,120)(111,117)(113,122),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 93)( 43, 65)( 45, 51)( 46, 96)( 49, 68)( 50,100)( 53, 59)( 54,110)( 55, 69)
        ( 58, 63)( 61, 72)( 62,111)( 66, 92)( 67, 88)( 70,106)( 71,105)( 73, 79)( 74, 86)( 75,114)( 77, 83)( 78, 82)
        ( 81, 87)( 85, 91)( 89,118)( 90,115)( 94, 99)( 95,119)( 97,103)( 98,122)(101,104)(102,109)(107,113)(108,123)
        (112,117)(116,124)(120,121),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 97)( 43, 65)( 45, 51)( 46, 94)( 49, 68)( 50, 98)( 53, 59)( 54,109)( 55, 69)
        ( 58, 63)( 61, 72)( 62,110)( 66, 92)( 67, 88)( 70,105)( 71,102)( 73, 79)( 74, 78)( 75,113)( 77, 83)( 81, 87)
        ( 82,114)( 85, 91)( 86,121)( 89,100)( 90,120)( 93, 96)( 95,101)( 99,104)(103,117)(106,112)(107,123)(108,118)
        (111,116)(115,124)(119,122),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 85)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,104)( 53, 59)( 54, 78)( 55, 73)
        ( 57, 63)( 58,108)( 61, 67)( 62,112)( 65, 76)( 66,116)( 70, 92)( 71, 88)( 74, 82)( 75, 90)( 77, 83)( 79,111)
        ( 81, 87)( 86, 91)( 89,105)( 93, 99)( 94,120)( 95,106)( 97,103)( 98,124)(101,107)(102,122)(109,115)(110,117)
        (113,119)(114,118)(121,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 97)( 43, 69)( 45, 51)( 46, 94)( 49, 72)( 50, 98)( 53, 59)( 54,105)( 55, 73)
        ( 57, 63)( 58,109)( 61, 67)( 62,113)( 65, 76)( 66,117)( 70, 92)( 71, 88)( 74,101)( 75, 90)( 77, 83)( 78,103)
        ( 79,121)( 82, 87)( 85, 91)( 86,104)( 89, 99)( 93, 96)( 95,100)(102,108)(106,112)(107,122)(110,116)(111,123)
        (114,120)(115,119)(118,124),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42,100)( 43, 69)( 45, 51)( 46,103)( 49, 72)( 50,107)( 53, 59)( 54,112)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,119)( 65, 77)( 66, 76)( 70, 96)( 71, 92)( 74,111)( 75, 94)( 78, 83)( 79,120)
        ( 81, 87)( 82,121)( 85, 91)( 86,117)( 89, 95)( 90,114)( 93,108)( 97,102)( 98,124)( 99,109)(101,106)(104,110)
        (105,123)(113,118)(116,122),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 64)( 31, 63)( 33, 39)( 34, 76)
        ( 37, 67)( 38, 79)( 41, 46)( 42, 68)( 44, 50)( 45, 88)( 48, 71)( 49, 91)( 52, 58)( 53,100)( 54, 72)( 56, 62)
        ( 57,103)( 60, 66)( 61,107)( 65, 75)( 69, 87)( 70, 83)( 73, 99)( 74, 95)( 77, 82)( 78,108)( 80, 86)( 81,120)
        ( 84,111)( 85,118)( 89, 94)( 90,112)( 92, 98)( 93,124)( 96,115)( 97,114)(101,106)(102,116)(104,110)(105,122)
        (109,119)(113,123)(117,121),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 42)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 49)( 27, 46)( 29, 35)( 30, 73)( 31, 61)( 33, 39)( 34, 77)
        ( 37, 44)( 38, 68)( 41, 45)( 43, 48)( 47, 65)( 50, 56)( 51, 81)( 52, 66)( 54, 60)( 55, 85)( 58, 64)( 59, 89)
        ( 62, 69)( 63, 93)( 67, 78)( 70, 76)( 71,102)( 72, 97)( 74, 80)( 75,105)( 79, 84)( 82, 88)( 83,106)( 86, 92)
        ( 87,109)( 90, 96)( 91,113)( 94,100)( 95,114)( 98,101)( 99,117)(103,108)(104,121)(107,112)(110,116)(111,122)
        (115,120)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)( 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 44)( 20, 40)( 22, 27)( 23, 52)( 25, 31)( 26, 65)( 29, 56)( 30, 68)( 33, 39)( 34, 80)( 35, 57)
        ( 37, 43)( 38, 84)( 41, 60)( 42, 88)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,104)( 53, 64)( 54,108)( 58, 76)
        ( 59, 72)( 62, 96)( 63, 92)( 66, 71)( 67, 94)( 69, 75)( 70, 90)( 73,112)( 74, 86)( 77, 83)( 78,124)( 79,113)
        ( 81, 87)( 82,115)( 85, 91)( 89, 95)( 93,109)( 97,103)( 98,116)( 99,110)(101,107)(102,122)(105,111)(106,119)
        (114,123)(117,121)(118,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 67)( 24, 52)( 26, 32)( 27, 71)( 30, 56)( 31, 72)( 34, 39)( 35, 83)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 84)( 45, 51)( 46, 91)( 47, 61)( 49, 55)( 50, 95)( 53, 63)( 54, 99)( 58, 79)
        ( 59, 75)( 62, 87)( 64, 70)( 65,115)( 66,103)( 68, 74)( 69,119)( 73, 78)( 76,107)( 77,120)( 80, 86)( 81,113)
        ( 82,108)( 85, 90)( 88, 94)( 89,114)( 92, 98)( 93,105)( 96,102)( 97,101)(100,106)(104,111)(109,117)(110,124)
        (112,118)(116,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 88)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 89)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,103)( 53, 64)( 54,107)( 58, 84)
        ( 59, 80)( 62, 96)( 63, 92)( 65, 71)( 66, 86)( 67, 94)( 69, 75)( 70,113)( 73, 79)( 74,115)( 77, 83)( 78,119)
        ( 81,111)( 82,120)( 85, 91)( 87,112)( 90, 95)( 93,108)( 97,102)( 98,124)( 99,109)(101,106)(104,110)(105,123)
        (114,118)(116,122)(117,121),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 72)( 30, 57)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 58)( 38, 44)( 39, 92)( 42, 61)( 43, 96)( 46, 52)( 47,108)( 48, 62)( 50, 56)( 51,112)( 54, 65)( 55,116)
        ( 59, 84)( 60, 80)( 63,104)( 64,100)( 66, 71)( 67,102)( 69, 75)( 70, 98)( 73, 79)( 74, 94)( 77, 83)( 78, 90)
        ( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93, 99)( 97,103)(101,117)(105,111)(106,120)(107,118)(109,115)(110,124)
        (113,119)(114,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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, 85)
        ( 36, 57)( 38, 44)( 39, 82)( 42, 60)( 43, 86)( 46, 52)( 47, 98)( 48, 61)( 50, 55)( 51,102)( 54, 64)( 58, 80)
        ( 59, 76)( 62, 94)( 63, 90)( 65, 71)( 66,113)( 67,103)( 70, 75)( 73, 79)( 74,114)( 77, 88)( 78,117)( 81, 84)
        ( 83, 89)( 87, 93)( 91,106)( 92,118)( 95,101)( 96,108)( 97,107)( 99,105)(100,122)(104,110)(109,121)(111,116)
        (112,123)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 32)(  8, 14)( 10, 20)( 11, 40)( 12, 18)( 15, 29)
        ( 16, 28)( 19, 36)( 21, 27)( 22, 52)( 23, 44)( 25, 31)( 26, 56)( 30, 35)( 33, 39)( 34, 57)( 37, 43)( 38, 60)
        ( 41, 47)( 42, 64)( 45, 48)( 46, 68)( 49, 55)( 50, 80)( 51, 72)( 53, 59)( 54, 84)( 58, 63)( 61, 67)( 62, 85)
        ( 65, 71)( 66, 88)( 69, 75)( 70, 92)( 73, 76)( 74, 96)( 77, 83)( 78,107)( 79,100)( 81, 87)( 82,111)( 86, 91)
        ( 89, 95)( 90,112)( 93, 99)( 94,115)( 97,103)( 98,119)(101,104)(102,124)(105,110)(106,121)(108,114)(109,117)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)
        ( 81,124)( 84, 90)( 85,121)( 88, 94)( 89,117)( 92, 98)( 93,114)( 96,102)( 97,101)(100,111)(104,110)(106,115)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 91)( 49, 68)( 50, 95)( 53, 59)( 54,107)( 55, 73)( 57, 63)
        ( 58,108)( 61, 67)( 62,111)( 65, 76)( 66,116)( 69, 75)( 70,121)( 71, 99)( 74,103)( 77, 83)( 78,105)( 79,113)
        ( 81, 87)( 82,123)( 85, 90)( 86,119)( 89, 94)( 92, 98)( 93,120)( 96,102)( 97,101)(100,117)(104,110)(106,122)
        (109,114)(112,115)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124) ), 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)
        ( 85,102)( 88, 94)( 89, 93)( 92, 99)( 97,118)( 98,112)(100,106)(101,116)(104,110)(105,121)(108,114)(109,124)
        (113,119)(117,120)(122,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 81,124)
        ( 84, 90)( 85,121)( 88, 94)( 89,117)( 92, 98)( 93,114)( 96,102)( 97,101)(100,111)(104,110)(105,112)(109,115)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 60)( 40, 46)( 41, 88)( 44, 50)( 45, 91)( 48, 54)( 49, 95)( 52, 63)( 53, 99)( 56, 62)( 57, 86)
        ( 58, 79)( 61, 83)( 64, 70)( 65,115)( 66,103)( 68, 74)( 69,119)( 72, 78)( 73,124)( 76, 82)( 77,121)( 80,107)
        ( 81,117)( 84, 90)( 85,108)( 89, 94)( 92, 98)( 93,109)( 96,102)( 97,114)(100,106)(101,105)(104,111)(110,113)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 85)( 38, 60)( 40, 46)( 41, 89)( 44, 50)( 45, 93)( 48, 54)( 49, 97)( 52, 63)( 53,101)( 56, 62)( 57, 87)
        ( 58, 79)( 61, 83)( 64, 70)( 65,113)( 66,105)( 68, 74)( 69,114)( 72, 78)( 73,117)( 76, 82)( 77,118)( 80, 91)
        ( 81,121)( 84, 88)( 86, 92)( 90, 96)( 94,100)( 95,122)( 98,104)( 99,112)(102,108)(103,107)(106,109)(110,116)
        (111,123)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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)( 69,100)( 72, 78)( 73,103)( 76, 82)( 77,107)( 81, 86)( 84, 90)( 85,108)
        ( 88, 94)( 89,111)( 92, 95)( 93,115)( 96,102)( 97,121)( 98,116)(101,106)(104,110)(105,122)(109,114)(112,118)
        (113,123)(117,119)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 87)( 38, 60)( 40, 46)( 41, 91)( 44, 50)( 45, 66)( 48, 54)( 49, 53)( 52, 63)( 56, 62)( 57, 86)( 58, 79)
        ( 61, 83)( 64, 70)( 65, 92)( 68, 74)( 69, 99)( 72, 78)( 73,103)( 76, 82)( 77,107)( 80, 95)( 81,111)( 84, 90)
        ( 85, 96)( 88, 94)( 89,115)( 93,102)( 97,118)( 98,112)(100,106)(101,116)(104,110)(105,121)(108,114)(109,124)
        (113,119)(117,120)(122,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 32)( 18, 36)( 19, 60)( 23, 40)( 25, 31)( 26, 71)( 27, 48)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 38, 43)( 39, 63)( 41, 47)( 42, 88)( 45, 51)( 46, 91)( 49, 67)( 50, 95)( 53, 59)( 54,107)( 55, 83)( 57, 62)
        ( 58,108)( 61, 66)( 64, 87)( 65,109)( 68, 74)( 69,115)( 70, 99)( 72, 78)( 73,119)( 76, 82)( 77,124)( 80, 86)
        ( 81,121)( 84,103)( 85,117)( 89, 94)( 90,105)( 92, 98)( 93,114)( 96,102)( 97,101)(100,111)(104,110)(106,113)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 80)
        ( 37, 42)( 38, 91)( 39, 67)( 41, 46)( 44, 50)( 45, 92)( 48, 54)( 49, 95)( 52, 71)( 53, 99)( 56, 62)( 57,111)
        ( 58, 83)( 60, 66)( 61,115)( 64, 70)( 65,120)( 68, 87)( 69,117)( 72, 78)( 73,110)( 74,103)( 76, 82)( 77, 85)
        ( 81, 86)( 84,107)( 88, 94)( 89,123)( 90,113)( 93, 98)( 96,102)( 97,124)(100,106)(101,105)(104,121)(108,114)
        (109,122)(112,118)(116,119),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124) ), 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)( 61,115)( 64, 70)( 65,120)( 68, 91)( 69,117)( 72, 78)( 73,110)( 74,104)( 76, 82)( 77, 89)
        ( 80, 86)( 81, 85)( 84, 90)( 88,107)( 92, 98)( 93,123)( 94,113)( 97,102)(100,106)(101,124)(105,121)(108,114)
        (109,122)(112,118)(116,119),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124) ), 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, 91)( 39, 67)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 71)( 54,108)( 57, 62)
        ( 58,113)( 59, 83)( 61, 66)( 64, 70)( 65,114)( 68, 88)( 69, 87)( 72, 78)( 73,117)( 74,105)( 77, 82)( 80, 86)
        ( 81,118)( 84,109)( 85,121)( 89, 94)( 90,115)( 92, 98)( 93,111)( 96,102)( 97,123)(100,106)(101,120)(104,107)
        (110,116)(112,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 53)( 27, 52)( 29, 35)( 30, 73)( 33, 56)( 34, 76)
        ( 37, 43)( 38, 88)( 39, 68)( 41, 47)( 42, 92)( 45, 51)( 46, 96)( 49, 55)( 50,100)( 54, 72)( 57, 63)( 58,107)
        ( 59, 80)( 61, 67)( 62,111)( 65, 71)( 66,115)( 69, 84)( 70,116)( 74, 79)( 75,101)( 77, 83)( 78, 98)( 81,103)
        ( 82, 94)( 85, 91)( 86,105)( 87,119)( 89, 95)( 90,106)( 93, 99)( 97,102)(104,110)(108,114)(109,120)(112,118)
        (113,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 76,110)( 79, 85)( 80,113)( 84, 89)
        ( 87, 93)( 88,114)( 91, 97)( 92,117)( 95,100)( 96,121)( 99,101)(102,108)(103,123)(104,122)(106,112)(107,119)
        (111,116)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 71)( 33, 56)( 34, 74)
        ( 37, 43)( 38, 82)( 39, 62)( 41, 47)( 42, 86)( 45, 51)( 46, 90)( 49, 55)( 50, 94)( 53, 66)( 54, 98)( 57, 63)
        ( 58, 85)( 59, 78)( 61, 64)( 67, 73)( 68,114)( 69,102)( 72, 77)( 75, 81)( 76,115)( 79,106)( 80,118)( 83, 89)
        ( 84,107)( 87, 93)( 88,108)( 91, 97)( 92,122)( 95,101)( 96,113)( 99,105)(100,104)(103,110)(109,121)(111,117)
        (112,123)(116,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124) ), 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)( 76,111)( 79, 85)( 80,114)( 84, 89)
        ( 87, 93)( 88,115)( 91, 97)( 92,118)( 95,101)( 96,122)( 99,103)(100,102)(104,109)(105,123)(107,113)(108,120)
        (112,117)(116,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 23)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 31)( 17, 35)( 18, 50)( 22, 43)( 24, 30)( 25, 57)( 26, 45)( 28, 34)( 29, 61)( 32, 49)( 33, 65)( 36, 42)
        ( 37, 77)( 38, 53)( 40, 46)( 41, 60)( 44, 47)( 51, 56)( 52, 69)( 54, 73)( 55, 82)( 58, 64)( 59, 78)( 62, 68)
        ( 63, 89)( 66, 72)( 67, 93)( 70, 81)( 71, 97)( 74, 80)( 75,106)( 76, 85)( 79, 92)( 83, 88)( 84,101)( 86,105)
        ( 87,110)( 90, 96)( 91,107)( 94,100)( 95,114)( 98,104)( 99,117)(102,109)(103,121)(108,113)(111,116)(112,122)
        (115,120)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 28)( 17, 32)( 18, 56)( 22, 44)( 23, 40)( 26, 31)( 27, 45)( 29, 48)( 30, 69)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 46, 68)( 47, 65)( 49, 55)( 50,104)( 51, 72)( 53, 59)( 54, 79)( 57, 63)
        ( 58, 62)( 61, 76)( 66, 96)( 67, 92)( 70, 75)( 71, 97)( 73,100)( 74,111)( 77, 83)( 78,105)( 81, 87)( 82,118)
        ( 85, 91)( 86,122)( 89, 95)( 90,116)( 93,108)( 94,113)( 98,110)( 99,109)(101,107)(102,120)(103,114)(106,121)
        (112,117)(115,123)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 35)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 29)( 17, 32)( 18, 55)( 22, 43)( 23, 39)( 25, 31)( 26, 71)( 27, 44)( 30, 47)( 33, 38)( 34, 59)( 36, 42)
        ( 37, 76)( 40, 63)( 41, 79)( 45, 67)( 46, 64)( 48, 54)( 49, 95)( 50, 72)( 52, 58)( 53, 99)( 56, 62)( 57,103)
        ( 60, 75)( 61,107)( 65, 87)( 66, 83)( 68, 74)( 69, 94)( 70, 88)( 73, 91)( 77, 82)( 78,111)( 80, 86)( 81,122)
        ( 84,115)( 85,120)( 89,117)( 90,116)( 92, 98)( 93,118)( 96,102)( 97,124)(100,106)(101,113)(104,110)(105,109)
        (108,114)(112,121)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124) ), 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)
        ( 58,109)( 61, 84)( 62,106)( 66, 92)( 67, 88)( 69, 75)( 70,118)( 71, 93)( 74, 79)( 77, 83)( 78,119)( 81, 96)
        ( 82,116)( 86, 91)( 87,102)( 89,110)( 90, 98)( 94,114)( 95,111)( 97,103)( 99,121)(101,107)(105,108)(112,123)
        (113,122)(115,120)(117,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 48)( 23, 44)( 25, 31)( 26, 71)( 27, 49)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 60)( 41, 47)( 42, 95)( 45, 64)( 46, 99)( 50, 67)( 51, 65)( 54, 59)( 55, 83)( 57, 63)
        ( 58,108)( 61, 87)( 62,111)( 66,103)( 68, 74)( 69, 97)( 70,104)( 72, 78)( 73, 93)( 76, 82)( 77, 89)( 80, 86)
        ( 81,116)( 84,107)( 85,119)( 88, 94)( 90,115)( 92, 98)( 96,102)(100,106)(101,105)(109,114)(110,120)(112,118)
        (113,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 60)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 50, 68)( 51, 65)( 54, 59)( 55, 84)( 57, 63)
        ( 58,108)( 61, 88)( 62,111)( 66,104)( 67,103)( 69, 75)( 70, 98)( 71,105)( 73, 79)( 74, 94)( 77, 83)( 78, 90)
        ( 81, 87)( 82,116)( 85,107)( 86,119)( 89, 95)( 91,115)( 93, 99)( 97,102)(101,106)(109,114)(110,124)(112,118)
        (113,121)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 74)( 27, 49)( 29, 35)( 30, 78)( 33, 52)( 34, 82)
        ( 37, 43)( 38, 94)( 39, 64)( 41, 47)( 42, 98)( 45, 68)( 46,102)( 50, 72)( 51, 69)( 53, 59)( 54,109)( 55, 86)
        ( 57, 63)( 58,113)( 61, 67)( 62,114)( 65, 90)( 66,117)( 70, 76)( 71,103)( 73, 77)( 75, 81)( 79, 85)( 80,104)
        ( 83, 89)( 84,100)( 87,106)( 88, 96)( 91, 97)( 92,108)( 93,121)( 95,101)( 99,105)(107,112)(110,116)(111,122)
        (115,120)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 77)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 89)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54,108)( 55, 84)
        ( 57, 63)( 58,113)( 61, 67)( 62,110)( 65, 88)( 66,106)( 70,101)( 71,100)( 73, 79)( 74,117)( 75,102)( 78, 83)
        ( 81, 87)( 82,118)( 85,104)( 86,121)( 90, 95)( 91,114)( 93, 99)( 94,123)( 97,103)( 98,120)(105,111)(107,116)
        (109,112)(115,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 89)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54,108)( 55, 85)
        ( 57, 63)( 58,113)( 61, 67)( 62,110)( 65, 88)( 66,106)( 70,101)( 71,100)( 73, 79)( 74,118)( 75,102)( 77, 83)
        ( 78,121)( 81, 87)( 82,116)( 86,104)( 90, 95)( 91,114)( 93, 99)( 94,123)( 97,103)( 98,120)(105,111)(107,117)
        (109,112)(115,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 77)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 89)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54, 66)( 55, 84)
        ( 57, 63)( 58, 62)( 61, 67)( 65, 88)( 70,104)( 71,100)( 73, 79)( 74,114)( 75,105)( 78, 83)( 81, 87)( 82,115)
        ( 85, 91)( 86,118)( 90, 95)( 93, 99)( 94,119)( 97,103)( 98,122)(101,108)(102,113)(106,110)(107,109)(111,117)
        (112,123)(116,121)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 77)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 93)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54, 66)( 55, 84)
        ( 57, 63)( 58, 62)( 61, 67)( 65, 88)( 70,104)( 71,100)( 73, 79)( 74,114)( 75,105)( 78, 83)( 81, 87)( 82,115)
        ( 85, 91)( 86,118)( 89, 95)( 90,121)( 94, 99)( 97,103)( 98,122)(101,108)(102,113)(106,110)(107,109)(111,117)
        (112,123)(116,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 57)( 22, 48)( 23, 44)( 25, 31)( 26, 69)( 27, 49)( 29, 35)( 30, 73)( 33, 52)( 34, 77)
        ( 37, 43)( 38, 89)( 39, 60)( 41, 47)( 42, 93)( 45, 63)( 46, 68)( 50, 65)( 51, 64)( 53, 59)( 54, 88)( 55, 81)
        ( 58, 62)( 61, 85)( 66, 72)( 67, 94)( 70, 76)( 71,101)( 74, 80)( 75,105)( 78, 84)( 79,109)( 82, 97)( 83,113)
        ( 86, 92)( 87, 98)( 90, 96)( 91,121)( 95,104)( 99,124)(100,117)(102,108)(103,122)(106,112)(107,119)(110,116)
        (111,115)(114,120)(118,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 59)( 22, 48)( 23, 44)( 25, 31)( 26, 69)( 27, 49)( 29, 35)( 30, 73)( 33, 52)( 34, 77)
        ( 37, 43)( 38, 89)( 39, 60)( 41, 47)( 42, 93)( 45, 63)( 46, 68)( 50, 65)( 51, 64)( 53, 58)( 54, 88)( 55, 81)
        ( 57, 62)( 61, 85)( 66, 72)( 67, 94)( 70, 76)( 71,101)( 74, 80)( 75,105)( 78, 84)( 79,109)( 82, 97)( 83,113)
        ( 86, 92)( 87, 98)( 90, 96)( 91,121)( 95,104)( 99,124)(100,117)(102,108)(103,122)(106,112)(107,119)(110,116)
        (111,115)(114,120)(118,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 26)(  4,  9)(  6, 20)(  7, 38)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 46)
        ( 15, 30)( 17, 34)( 18, 50)( 22, 28)( 23, 39)( 25, 29)( 27, 33)( 31, 42)( 32, 40)( 35, 41)( 36, 45)( 37, 54)
        ( 43, 49)( 44, 59)( 47, 53)( 48, 62)( 51, 57)( 52, 66)( 55, 58)( 56, 70)( 60, 65)( 61, 74)( 63, 69)( 64, 79)
        ( 67, 73)( 68, 82)( 71, 77)( 72, 86)( 75, 78)( 76, 90)( 80, 85)( 81, 94)( 83, 89)( 84, 99)( 87, 93)( 88,102)
        ( 91, 97)( 92,106)( 95, 98)( 96,110)(100,105)(101,113)(103,109)(104,118)(107,112)(108,121)(111,116)(114,117)
        (115,122)(119,124)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 28)( 17, 32)( 18, 57)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 58, 63)
        ( 59, 72)( 61, 76)( 62,113)( 66, 96)( 67, 92)( 70, 75)( 71, 94)( 73,112)( 74, 90)( 77, 83)( 78,117)( 79,116)
        ( 81, 87)( 82,118)( 85, 91)( 86,115)( 89, 95)( 93,109)( 97,103)( 98,120)( 99,110)(101,107)(102,124)(105,111)
        (106,122)(114,119)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 29)( 18, 33)( 19, 60)( 23, 41)( 24, 37)( 27, 32)( 28, 49)( 30, 52)( 31, 73)( 35, 40)( 36, 64)
        ( 38, 68)( 39, 81)( 42, 48)( 43, 92)( 44, 69)( 46, 51)( 47, 96)( 50, 72)( 53, 59)( 54,104)( 55, 76)( 57, 63)
        ( 58,108)( 61, 67)( 62,113)( 65, 80)( 66,110)( 70, 88)( 71, 84)( 74, 79)( 75, 97)( 77,100)( 78,119)( 82, 87)
        ( 83,106)( 85,114)( 86,102)( 89, 95)( 90,116)( 91,115)( 93, 99)( 94,123)( 98,118)(101,107)(103,121)(105,111)
        (109,112)(117,122)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 27, 32)( 28, 49)( 30, 53)( 31, 74)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 81)( 42, 48)( 43, 92)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51,100)( 54, 60)( 55,112)( 56, 77)
        ( 58, 64)( 59,116)( 62, 68)( 63,121)( 66, 80)( 67,118)( 71, 88)( 72, 84)( 75, 79)( 76,104)( 78,108)( 82, 87)
        ( 83,114)( 85,122)( 86,110)( 89, 95)( 90,102)( 91,123)( 93, 99)( 94, 98)( 97,103)(101,107)(105,111)(106,124)
        (109,115)(113,119)(117,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124) ), 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, 76)( 35, 65)
        ( 37, 43)( 38, 80)( 41, 68)( 42, 84)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 66, 72)( 70, 92)( 71, 88)( 73, 79)( 74, 86)( 75,112)( 77, 83)( 78, 82)( 81, 87)
        ( 85, 91)( 89,115)( 90,113)( 93, 99)( 94,124)( 95,116)( 97,102)( 98,121)(101,106)(104,110)(105,122)(108,114)
        (109,118)(117,119)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 86)
        ( 36, 65)( 38, 44)( 39, 83)( 42, 69)( 43, 87)( 46, 52)( 47, 98)( 48, 70)( 50, 56)( 51,102)( 54, 73)( 55,106)
        ( 58, 64)( 59,118)( 60, 77)( 63, 68)( 66, 81)( 67,119)( 71, 94)( 72, 91)( 75, 80)( 76,110)( 78,114)( 79,123)
        ( 82, 85)( 84, 90)( 88, 93)( 89,120)( 92,116)( 95,101)( 96,124)( 97,117)( 99,105)(100,112)(103,109)(104,108)
        (107,113)(111,122)(115,121),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86)( 87, 88, 89, 90)( 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 82)( 42, 69)( 43, 86)( 46, 52)( 47, 98)( 48, 70)( 50, 56)( 51,102)( 54, 73)( 55,106)
        ( 58, 64)( 59,117)( 60, 77)( 63, 68)( 66, 80)( 67,118)( 71, 94)( 72, 90)( 75, 79)( 76,109)( 78,113)( 81, 84)
        ( 83, 89)( 87, 93)( 88,119)( 91,121)( 92,115)( 95,101)( 96,100)( 97,122)( 99,105)(103,108)(104,123)(107,112)
        (110,116)(111,124)(114,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 76)( 34, 40)( 35, 85)
        ( 36, 67)( 38, 43)( 39, 89)( 42, 71)( 45, 51)( 46, 97)( 47, 72)( 49, 55)( 50,101)( 53, 75)( 54,105)( 57, 63)
        ( 58,113)( 59, 79)( 61, 66)( 62,117)( 65, 70)( 68, 83)( 69,118)( 73, 93)( 74, 90)( 77, 82)( 78,109)( 80, 95)
        ( 81,122)( 84, 88)( 86, 92)( 87,119)( 91,115)( 94,100)( 96,116)( 98,104)( 99,123)(102,108)(103,124)(106,112)
        (107,111)(110,121)(114,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 86)
        ( 36, 68)( 38, 44)( 39, 90)( 42, 72)( 43, 94)( 46, 52)( 47,106)( 48, 73)( 50, 56)( 51,110)( 54, 76)( 55,113)
        ( 58, 63)( 59, 80)( 61, 67)( 62,118)( 65, 71)( 66,121)( 69, 84)( 70,122)( 74,102)( 75, 98)( 78, 83)( 79,100)
        ( 81,117)( 82, 96)( 85, 89)( 87, 93)( 88,123)( 91, 97)( 92,120)( 95,101)( 99,114)(103,109)(104,108)(105,115)
        (107,112)(111,116)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 85)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 72)( 43, 92)( 46, 52)( 47,103)( 48, 73)( 50, 56)( 51,107)( 54, 76)( 55,111)
        ( 58, 63)( 59, 80)( 61, 67)( 62,116)( 65, 71)( 66,119)( 69, 84)( 70,124)( 74,100)( 75, 96)( 78, 83)( 79, 98)
        ( 81,115)( 82, 94)( 86, 91)( 87,121)( 89, 95)( 90,118)( 93, 99)( 97,112)(101,106)(102,113)(104,110)(105,109)
        (108,114)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59, 87)( 60, 81)( 62, 68)( 63,119)( 66, 72)( 67,120)( 70, 85)( 71,124)( 75,104)( 76,100)( 79, 84)
        ( 80,102)( 82, 91)( 83, 98)( 86, 92)( 88,122)( 90, 95)( 94, 99)( 97,103)(101,116)(105,110)(106,117)(108,114)
        (109,113)(112,118)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59, 87)( 60, 81)( 62, 68)( 63,119)( 66, 72)( 67,124)( 70, 85)( 71,121)( 75,104)( 76,100)( 79, 84)
        ( 80,102)( 82, 91)( 83, 98)( 86, 92)( 88,122)( 90, 95)( 94, 99)( 97,103)(101,116)(105,111)(106,110)(107,117)
        (109,114)(113,118)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 82)( 42, 72)( 43, 79)( 46, 51)( 47, 74)( 48, 73)( 50, 55)( 53, 76)( 54, 75)( 57, 63)
        ( 58, 92)( 59, 80)( 61, 67)( 62, 96)( 65, 71)( 66,100)( 69, 84)( 70,104)( 78, 83)( 81, 89)( 85, 91)( 86,116)
        ( 87,108)( 90, 95)( 93, 99)( 94,117)( 97,103)( 98,114)(101,107)(102,119)(105,111)(106,124)(109,112)(110,121)
        (113,118)(115,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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, 59)( 16, 29)( 18, 33)( 19, 63)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 67)( 38, 44)( 39, 85)( 42, 71)( 43, 89)( 46, 51)( 47,101)( 48, 72)( 50, 55)( 53, 75)( 54,102)( 57, 62)
        ( 58, 79)( 60, 66)( 61,110)( 64, 70)( 65,111)( 68, 83)( 69,113)( 73, 97)( 74, 93)( 77, 82)( 78,105)( 80,109)
        ( 81,122)( 84, 87)( 86, 92)( 90, 96)( 91,114)( 94,117)( 95,124)( 98,104)( 99,119)(100,118)(103,108)(106,121)
        (107,120)(112,116)(115,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59, 94)( 60, 81)( 62, 68)( 63, 90)( 66, 72)( 67, 87)( 70, 85)( 71, 84)( 75,104)( 76,100)( 79, 83)
        ( 80,102)( 82, 98)( 86, 91)( 89, 95)( 93, 99)( 97,103)(101,117)(105,111)(106,120)(107,118)(109,115)(110,124)
        (113,119)(114,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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)( 59,117)( 60, 81)( 62, 68)( 63,121)( 66, 72)( 67,122)( 70, 86)( 71, 85)( 75,105)( 76,101)( 79, 84)
        ( 80,103)( 82,114)( 83, 99)( 87, 92)( 88,123)( 90, 96)( 91,119)( 94,100)( 95,116)( 98,104)(102,112)(106,109)
        (108,113)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110)(111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 89)( 42, 72)( 43, 92)( 46, 51)( 47, 73)( 49, 55)( 50,101)( 53, 76)( 54,104)( 57, 63)
        ( 58, 70)( 59, 80)( 61, 67)( 62, 66)( 65, 71)( 69, 84)( 74,100)( 75, 96)( 78, 83)( 79,108)( 81, 87)( 82,117)
        ( 85, 91)( 86,120)( 90, 95)( 93, 99)( 94,121)( 97,112)( 98,119)(102,107)(103,113)(105,111)(106,124)(109,116)
        (110,115)(114,123)(118,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 82)( 42, 73)( 43, 79)( 46, 52)( 47, 51)( 48, 74)( 50, 56)( 54, 76)( 55, 75)( 58, 64)
        ( 59, 92)( 60, 80)( 62, 68)( 63, 96)( 66, 72)( 67,100)( 70, 84)( 71,104)( 78, 83)( 81, 89)( 85, 91)( 86,116)
        ( 87,108)( 90, 95)( 93, 99)( 94,117)( 97,103)( 98,114)(101,107)(102,119)(105,111)(106,120)(109,112)(110,124)
        (113,118)(115,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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)( 81,105)( 82,104)
        ( 84, 90)( 85,116)( 89,107)( 92, 98)( 93,108)( 96,102)( 97,119)(100,111)(101,124)(106,115)(109,122)(110,117)
        (113,118)(114,121)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 30)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 26, 32)( 27, 77)( 28, 49)( 31, 53)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 81)( 42, 48)( 43, 93)( 44, 70)( 46, 52)( 47, 90)( 50, 73)( 51, 94)( 54, 60)( 55,101)( 56, 78)
        ( 58, 64)( 59,105)( 62, 68)( 63,109)( 66, 80)( 67,113)( 71, 88)( 72, 84)( 74, 79)( 75,104)( 76, 98)( 82, 87)
        ( 83,117)( 85, 96)( 86,124)( 89, 92)( 91, 97)( 95,100)( 99,121)(102,108)(103,122)(106,112)(107,119)(110,116)
        (111,115)(114,120)(118,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 76)( 35, 65)
        ( 37, 43)( 38, 80)( 41, 68)( 42, 84)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 66, 72)( 70, 92)( 71, 88)( 73, 79)( 74, 86)( 75,112)( 77, 83)( 78, 82)( 81, 87)
        ( 85, 91)( 89,115)( 90,113)( 93, 99)( 94,124)( 95,116)( 97,102)( 98,121)(101,106)(104,110)(105,122)(108,114)
        (109,118)(117,119)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 61)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 52)( 31, 56)( 34, 40)( 35, 82)
        ( 36, 64)( 38, 44)( 39, 86)( 42, 68)( 43, 90)( 46, 51)( 47, 69)( 49, 55)( 50, 99)( 53, 72)( 54,101)( 57, 63)
        ( 58,113)( 59, 77)( 62, 67)( 65, 80)( 66,114)( 70, 98)( 71, 94)( 73, 79)( 74,121)( 75,105)( 78,109)( 81, 85)
        ( 83, 89)( 84,115)( 87, 93)( 88,111)( 91, 97)( 92,123)( 95,103)( 96,120)(100,104)(102,108)(106,118)(107,117)
        (110,116)(112,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 87)( 42, 68)( 43, 91)( 46, 52)( 47,104)( 48, 69)( 50, 56)( 51,101)( 54, 72)( 55,105)
        ( 58, 64)( 59, 83)( 60, 77)( 63, 67)( 66, 80)( 70, 99)( 71, 95)( 73, 79)( 74,121)( 75,109)( 78,113)( 81, 86)
        ( 82,114)( 85, 90)( 88, 94)( 89,115)( 92, 98)( 93,123)( 96,107)( 97,120)(100,103)(102,108)(106,112)(110,118)
        (111,117)(116,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 65)( 38, 44)( 39, 87)( 42, 68)( 43, 91)( 46, 52)( 47,104)( 48, 69)( 50, 56)( 51,101)( 54, 72)( 55,105)
        ( 58, 63)( 59, 83)( 60, 77)( 62, 67)( 66, 80)( 70, 99)( 71, 95)( 73, 79)( 74,121)( 75,109)( 78,113)( 81, 86)
        ( 82,114)( 85, 90)( 88, 94)( 89,115)( 92, 98)( 93,123)( 96,107)( 97,120)(100,103)(102,108)(106,112)(110,118)
        (111,117)(116,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59, 87)( 60, 82)( 62, 68)( 63,119)( 66, 72)( 67,120)( 70, 85)( 71,124)( 75,104)( 76,100)( 78, 84)
        ( 79, 95)( 80,102)( 83, 91)( 86, 92)( 88,122)( 90, 96)( 94, 99)( 98,103)(101,116)(105,110)(106,117)(108,114)
        (109,113)(112,118)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59, 87)( 60, 82)( 62, 68)( 63,119)( 66, 72)( 67,124)( 70, 85)( 71,121)( 75,104)( 76,100)( 78, 84)
        ( 79, 95)( 80,102)( 83, 91)( 86, 92)( 88,122)( 90, 96)( 94, 99)( 98,103)(101,116)(105,111)(106,110)(107,117)
        (109,114)(113,118)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59, 94)( 60, 81)( 62, 68)( 63, 90)( 66, 72)( 67, 87)( 70, 85)( 71, 84)( 75,104)( 76,100)( 78, 83)
        ( 79,102)( 82, 98)( 86, 91)( 89, 95)( 93, 99)( 97,103)(101,117)(105,111)(106,120)(107,118)(109,115)(110,124)
        (113,119)(114,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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)( 96,117)(100,105)(103,109)(104,118)(107,110)(108,121)(111,116)(112,123)
        (113,122)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 33)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 34, 63)( 37, 43)
        ( 38, 84)( 39, 60)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,101)( 51, 65)( 53, 59)( 54,103)( 57, 68)
        ( 58,107)( 61, 80)( 62, 77)( 66,100)( 67, 96)( 69, 75)( 70,118)( 71,112)( 73, 79)( 74,121)( 78,116)( 81, 87)
        ( 82, 86)( 83,113)( 85, 91)( 89, 95)( 90,114)( 93, 99)( 94,123)( 97,105)( 98,120)(102,106)(104,110)(108,111)
        (109,117)(115,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 33)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 34, 63)( 37, 43)
        ( 38, 84)( 39, 60)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,104)( 51, 65)( 53, 59)( 54,109)( 57, 68)
        ( 58,106)( 61, 80)( 62, 77)( 66,100)( 67, 96)( 69, 75)( 70,117)( 71,102)( 73, 79)( 74,121)( 78,112)( 81, 87)
        ( 82,123)( 83,110)( 85, 91)( 86,119)( 89, 95)( 90,116)( 93, 99)( 94, 98)( 97,113)(101,107)(103,114)(105,108)
        (111,122)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,101)( 49, 55)( 50,113)( 51, 69)( 53, 59)( 54,110)
        ( 57, 72)( 58,114)( 62, 67)( 63, 88)( 65, 92)( 66,119)( 70,108)( 71,104)( 73, 79)( 74, 98)( 75,106)( 77, 83)
        ( 78, 94)( 81, 87)( 82,122)( 85, 91)( 86,123)( 89,118)( 90,117)( 93, 99)( 95,121)( 97,103)(102,107)(105,115)
        (109,112)(111,116)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 62, 67)( 63, 84)( 65, 89)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,106)( 77, 83)( 78,102)
        ( 81, 87)( 82, 98)( 85, 91)( 86, 94)( 90, 95)( 93, 99)( 97,103)(101,107)(105,120)(109,114)(110,124)(111,121)
        (113,118)(116,122)(117,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 39)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 71)( 27, 55)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 60)( 41, 46)( 42, 66)( 45, 63)( 48, 54)( 49, 84)( 50, 64)( 52, 58)( 53, 87)( 56, 67)( 57, 91)
        ( 61, 65)( 62, 83)( 68, 74)( 69,103)( 70, 95)( 72, 78)( 73,107)( 76, 82)( 77,111)( 80, 86)( 81,115)( 85, 90)
        ( 88, 94)( 89,116)( 92, 98)( 93,119)( 96, 99)( 97,124)(100,106)(101,113)(102,121)(104,110)(105,109)(108,114)
        (112,118)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 68)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 61)( 41, 58)( 42, 81)( 45, 51)( 46, 77)( 47, 59)( 49, 55)( 50, 82)( 53, 64)( 54, 86)( 57, 63)
        ( 62, 80)( 65, 71)( 66, 97)( 67, 90)( 69, 75)( 70,101)( 73, 79)( 74,105)( 78, 85)( 83, 89)( 84,106)( 87, 93)
        ( 88,109)( 91, 94)( 92,113)( 95,100)( 96,114)( 98,104)( 99,118)(102,108)(103,121)(107,112)(110,116)(111,122)
        (115,117)(119,124)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 71)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 88)( 45, 51)( 46, 95)( 47, 65)( 49, 55)( 50, 99)( 53, 68)( 54,103)( 57, 63)
        ( 58, 92)( 59, 83)( 62, 87)( 66, 84)( 67, 91)( 69, 74)( 70,104)( 72, 78)( 73,108)( 76, 82)( 77,111)( 80, 86)
        ( 81,115)( 85, 98)( 89, 94)( 90, 93)( 96,102)( 97,116)(100,106)(101,119)(105,107)(109,114)(110,120)(112,118)
        (113,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 32)( 18, 36)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 38, 43)( 39, 61)( 41, 64)( 42, 89)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,107)( 57, 63)
        ( 58,119)( 59, 84)( 62, 88)( 66, 96)( 67, 92)( 69, 75)( 70, 82)( 71,111)( 73, 79)( 74, 78)( 77, 83)( 81, 87)
        ( 85,115)( 86,112)( 90, 95)( 91,120)( 93,117)( 94,124)( 97,103)( 98,113)( 99,118)(101,106)(102,109)(105,110)
        (108,114)(116,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 58,119)( 61, 67)( 62, 91)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,106)( 77, 83)( 78,102)
        ( 81, 87)( 82, 98)( 85,123)( 86, 94)( 89, 95)( 90,124)( 93, 99)( 97,103)(101,107)(105,120)(109,115)(110,114)
        (111,121)(113,118)(117,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,124)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,106)( 77, 83)( 78,102)
        ( 81, 87)( 82, 98)( 85, 90)( 86, 94)( 89, 95)( 91,123)( 93, 99)( 97,103)(101,107)(105,120)(109,114)(110,121)
        (112,118)(113,117)(116,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 65)( 39, 64)( 41, 46)( 42, 61)( 45, 67)( 48, 54)( 49, 87)( 50, 68)( 52, 58)( 53, 91)( 56, 71)
        ( 57, 95)( 60, 66)( 62, 70)( 69, 84)( 72, 78)( 73,104)( 74, 99)( 76, 82)( 77,107)( 80, 86)( 81,111)( 85, 90)
        ( 88, 94)( 89,112)( 92, 98)( 93,115)( 96,102)( 97,119)(100,103)(101,124)(105,110)(106,121)(108,114)(109,117)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 77)( 27, 56)( 29, 35)( 30, 74)( 33, 60)( 34, 78)
        ( 37, 43)( 38, 90)( 39, 65)( 41, 47)( 42, 94)( 45, 68)( 46, 98)( 49, 55)( 50,110)( 51, 69)( 53, 59)( 54,111)
        ( 57, 72)( 58,114)( 61, 67)( 62, 89)( 63, 82)( 66, 86)( 70,106)( 71,102)( 73, 76)( 75, 81)( 79, 85)( 80,115)
        ( 83,118)( 84,122)( 87, 93)( 88,119)( 91, 97)( 92,104)( 95,101)( 96,100)( 99,105)(103,120)(107,113)(108,123)
        (109,121)(112,117)(116,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 70)( 39, 65)( 41, 47)( 42, 46)( 45, 67)( 49, 55)( 50, 88)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 62, 69)( 63, 87)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,108)( 80, 86)( 81,111)( 84, 90)
        ( 85,115)( 89, 94)( 92, 98)( 93,116)( 96,102)( 97,119)(100,103)(101,124)(104,110)(105,113)(106,121)(109,114)
        (112,118)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 98,118)( 99,112)(101,107)(102,119)(105,111)(106,122)(110,115)(113,116)
        (114,123)(117,121)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 42)( 39, 65)( 41, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 93)( 51, 69)( 53, 59)( 54, 96)( 57, 72)
        ( 58,100)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,110)( 75,104)( 77, 83)( 78,111)( 81, 87)( 82,114)
        ( 85, 91)( 86,118)( 89, 95)( 90,122)( 94, 99)( 97,103)( 98,123)(101,107)(102,120)(105,108)(106,116)(109,113)
        (112,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 96)( 51, 69)( 53, 59)( 54,100)( 57, 72)
        ( 58,104)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,113)( 75,105)( 77, 83)( 78,110)( 81, 87)( 82,114)
        ( 85, 91)( 86,118)( 89, 95)( 90,122)( 93, 99)( 94,123)( 97,103)( 98,120)(101,107)(102,116)(106,108)(109,112)
        (111,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 66)( 28, 40)( 30, 36)( 31, 73)( 34, 57)
        ( 35, 77)( 38, 44)( 39, 54)( 42, 48)( 43, 85)( 46, 69)( 47, 89)( 50, 56)( 51,101)( 52, 70)( 55, 88)( 58, 64)
        ( 59,109)( 60, 81)( 62, 68)( 63,112)( 67, 76)( 71, 97)( 72, 93)( 74, 80)( 75,113)( 78, 84)( 79,116)( 82,106)
        ( 83,105)( 86, 92)( 87,102)( 90, 96)( 91,119)( 94,100)( 95,124)( 98,104)( 99,121)(103,122)(107,111)(108,117)
        (110,115)(114,118)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 66)( 28, 40)( 30, 36)( 31, 73)( 34, 57)
        ( 35, 77)( 38, 44)( 39, 54)( 42, 48)( 43, 85)( 46, 69)( 47, 89)( 50, 56)( 51,101)( 52, 70)( 55, 88)( 58, 64)
        ( 59,109)( 60, 81)( 62, 68)( 63,112)( 67, 76)( 71, 97)( 72, 93)( 74, 80)( 75,113)( 78, 84)( 79,118)( 82,106)
        ( 83,105)( 86, 92)( 87,102)( 90, 96)( 91,121)( 94,116)( 95,122)( 98,104)( 99,123)(100,117)(103,124)(107,111)
        (108,119)(110,115)(114,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124) ), 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, 79)( 34, 56)
        ( 35, 83)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46, 99)( 47, 69)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58, 97)( 59, 87)( 61, 67)( 62,115)( 66, 94)( 70, 95)( 71, 91)( 73, 78)( 74, 81)( 75,111)( 77, 82)( 80, 86)
        ( 84, 90)( 85,112)( 88,101)( 89,119)( 92,117)( 93,116)( 96,102)( 98,118)(100,106)(104,110)(105,120)(108,114)
        (109,124)(113,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 68)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,105)( 54, 76)( 55,109)
        ( 58, 63)( 59, 66)( 60, 91)( 62, 67)( 65, 71)( 69, 95)( 70, 92)( 74,103)( 75, 99)( 77, 83)( 78,114)( 79,113)
        ( 81, 87)( 82,122)( 85, 90)( 86,119)( 89, 94)( 93,120)( 97,102)( 98,117)(100,111)(101,124)(104,107)(106,112)
        (110,116)(115,121)(118,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,103)( 48, 74)( 50, 56)( 51,107)( 54, 77)( 55,111)
        ( 58, 64)( 59,101)( 60, 92)( 62, 68)( 63, 99)( 66, 72)( 67, 71)( 70, 96)( 75, 93)( 76,100)( 78, 83)( 79,118)
        ( 80,116)( 82, 87)( 85, 91)( 86,119)( 89, 95)( 90,121)( 94,106)( 98,102)(104,110)(105,122)(108,114)(109,123)
        (112,115)(113,117)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 97)( 40, 69)( 43, 72)( 46, 52)( 47, 59)( 48, 73)( 50, 56)( 51, 92)( 54, 76)( 55,101)
        ( 58, 64)( 60, 91)( 62, 68)( 63, 74)( 66, 71)( 67, 99)( 70, 95)( 75, 98)( 77, 82)( 78,113)( 79,105)( 81, 86)
        ( 84, 90)( 85,114)( 88, 94)( 89,117)( 93,104)( 96,100)(102,108)(103,118)(106,109)(107,121)(110,116)(111,123)
        (112,122)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 43, 73)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,102)( 60, 92)( 62, 68)( 63, 98)( 66, 72)( 67,118)( 70, 96)( 71,124)( 75, 93)( 76,101)( 78, 84)
        ( 79,114)( 80,117)( 82, 88)( 83,110)( 86, 91)( 87,106)( 90, 95)( 94,107)( 97,103)( 99,121)(105,111)(109,115)
        (113,116)(119,123)(120,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124) ), 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, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 69)( 43, 73)( 46, 52)( 47,106)( 48, 74)( 50, 56)( 51,110)( 54, 77)( 55,114)
        ( 58, 64)( 59, 97)( 60, 91)( 62, 68)( 63,117)( 66, 72)( 67,121)( 70, 95)( 71,122)( 75,103)( 76,100)( 78, 82)
        ( 80, 86)( 81,115)( 84, 90)( 85,112)( 88, 94)( 89,108)( 92,101)( 93,105)( 96,102)( 98,120)(104,109)(107,113)
        (111,116)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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)( 78,101)( 79, 93)( 81, 87)( 82,105)( 85, 91)
        ( 86,109)( 89, 95)( 90,113)( 94, 98)( 99,104)(100,114)(102,108)(103,118)(106,112)(107,121)(110,116)(111,122)
        (115,117)(119,124)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 98)( 40, 69)( 43, 73)( 46, 52)( 47, 63)( 48, 74)( 50, 56)( 51, 59)( 54, 77)( 55, 93)
        ( 58, 64)( 60, 92)( 62, 68)( 66, 72)( 67, 75)( 70,123)( 71, 96)( 76, 99)( 78, 83)( 79,100)( 81, 87)( 82,105)
        ( 85, 91)( 86,108)( 89, 95)( 90,112)( 94,103)( 97,124)(101,104)(102,113)(106,111)(107,116)(109,115)(110,122)
        (114,119)(117,121)(118,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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, 93)( 48, 74)( 50, 56)( 51,104)( 54, 77)( 55,108)
        ( 58, 64)( 59, 75)( 60, 92)( 62, 68)( 63,102)( 66, 72)( 67, 99)( 70, 97)( 71, 96)( 76,101)( 78, 84)( 79,117)
        ( 80,112)( 82, 87)( 83,121)( 86, 91)( 89, 95)( 90,122)( 94,107)( 98,103)(105,111)(106,123)(109,114)(110,119)
        (113,115)(116,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 59)( 40, 69)( 43, 73)( 46, 52)( 47, 95)( 48, 74)( 50, 56)( 51, 99)( 54, 77)( 55,103)
        ( 58, 64)( 60, 76)( 62, 68)( 63, 70)( 66, 72)( 67, 94)( 71, 93)( 75, 90)( 78, 84)( 79,114)( 80,107)( 82, 88)
        ( 83,118)( 86, 92)( 87,122)( 91, 98)( 96,102)( 97,123)(100,106)(101,120)(104,110)(105,116)(108,112)(109,111)
        (113,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,112)( 54, 60)( 55,113)
        ( 58, 77)( 59, 76)( 62, 67)( 63, 92)( 65, 71)( 66,117)( 69, 75)( 70,119)( 73, 96)( 74,124)( 78, 83)( 79,114)
        ( 81, 87)( 82,110)( 85, 91)( 86,106)( 89, 95)( 90,102)( 93,116)( 94, 98)( 97,103)( 99,121)(101,107)(105,111)
        (109,115)(118,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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, 57)( 28, 56)( 30, 36)( 31, 77)( 34, 60)
        ( 35, 80)( 38, 43)( 39, 72)( 41, 47)( 42, 89)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 59)( 54,100)( 58, 76)
        ( 61, 67)( 62,108)( 63, 84)( 65, 71)( 66,113)( 69, 75)( 70,110)( 73, 88)( 74,106)( 78, 83)( 79,101)( 81, 87)
        ( 82,118)( 85,104)( 86,121)( 90, 95)( 91,114)( 93, 99)( 94,123)( 97,103)( 98,120)(102,117)(105,111)(107,116)
        (109,112)(115,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 46, 72)( 47,105)( 51, 56)( 52, 73)( 54, 75)( 55,110)
        ( 58, 64)( 59,117)( 60, 89)( 62, 68)( 63,121)( 66, 71)( 67,122)( 70, 93)( 74,109)( 76, 80)( 78, 84)( 79,111)
        ( 82, 88)( 83,107)( 86, 92)( 87,103)( 90,113)( 91, 99)( 94,100)( 95,116)( 96,123)( 98,104)(102,108)(106,112)
        (114,120)(115,119)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74)( 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 48)( 43,104)( 46, 72)( 47,108)( 51, 56)( 52, 73)( 54, 76)( 55, 74)
        ( 58, 63)( 59, 92)( 61, 67)( 62,117)( 65, 71)( 66,119)( 69, 96)( 70,124)( 75,112)( 77, 83)( 78,114)( 79,113)
        ( 81, 87)( 82,110)( 85, 91)( 86,106)( 89, 95)( 90,102)( 93,116)( 94, 98)( 97,103)( 99,121)(101,107)(105,111)
        (109,115)(118,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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)( 54,108)( 57, 63)
        ( 58, 70)( 59, 92)( 61, 67)( 62, 66)( 65, 71)( 69, 96)( 74,107)( 75,104)( 77, 83)( 78,115)( 79,109)( 81, 87)
        ( 82,119)( 85, 91)( 86,124)( 89, 95)( 90,121)( 93, 99)( 94,117)( 97,103)( 98,114)(102,106)(105,111)(110,112)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,101)( 40, 68)( 42, 48)( 43, 98)( 46, 72)( 47,102)( 50, 56)( 51,113)( 52, 73)( 55, 76)
        ( 58, 64)( 59,117)( 60, 92)( 62, 67)( 63,121)( 66, 71)( 69, 96)( 70,122)( 74,109)( 75,106)( 77, 83)( 78, 90)
        ( 79,114)( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,111)( 94,115)( 97,100)( 99,105)(103,108)(104,123)(107,119)
        (110,116)(112,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,113)( 61, 67)( 62, 91)( 63, 84)( 66, 71)( 69, 89)( 70, 88)( 74,107)( 75,104)( 78, 83)( 79,109)
        ( 81, 87)( 82,119)( 85, 94)( 86,121)( 90, 95)( 93, 99)( 97,103)( 98,122)(101,106)(102,123)(105,117)(108,114)
        (110,118)(112,115)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 71)( 41, 47)( 42, 95)( 45, 75)( 46, 99)( 49, 54)( 50, 76)( 52, 58)( 53,108)( 56, 79)
        ( 57,111)( 60, 66)( 61,116)( 62, 87)( 64, 70)( 65,119)( 68, 74)( 69,124)( 72, 91)( 73,121)( 77,107)( 78,103)
        ( 81, 86)( 82,105)( 84, 90)( 85,101)( 88,115)( 89, 97)( 93, 98)( 94,118)( 96,102)(100,106)(104,112)(109,114)
        (110,113)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46, 83)( 49, 55)( 50,110)( 51, 77)( 53, 59)( 54,107)
        ( 57, 80)( 58, 79)( 61, 67)( 62, 94)( 63, 88)( 65, 71)( 66,111)( 69, 75)( 70,115)( 73, 92)( 74,119)( 78,104)
        ( 81, 87)( 82,101)( 86, 91)( 89, 98)( 90,102)( 93, 99)( 95,114)( 97,103)(105,109)(106,108)(112,118)(113,120)
        (116,122)(117,124)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 93)( 39, 72)( 41, 47)( 42, 96)( 45, 76)( 46,100)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62, 98)( 63, 88)( 65, 71)( 66, 95)( 69, 75)( 70, 74)( 73, 92)( 78,108)( 79,104)
        ( 81, 87)( 82, 90)( 83,106)( 86, 91)( 89,102)( 94, 99)( 97,103)(101,107)(105,120)(109,114)(110,124)(111,121)
        (113,118)(116,122)(117,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,117)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62, 94)( 63, 88)( 65, 71)( 66, 95)( 69, 75)( 70, 74)( 73, 92)( 78,112)( 79,108)
        ( 81, 87)( 82,121)( 83,110)( 86, 91)( 89, 98)( 90,122)( 93, 99)( 97,103)(101,107)(102,123)(105,111)(106,124)
        (109,119)(113,116)(115,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124) ), 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, 83)( 49, 55)( 50,110)( 51, 77)( 53, 59)( 54,107)
        ( 57, 80)( 58, 79)( 61, 67)( 62, 94)( 63, 89)( 65, 71)( 66,111)( 69, 75)( 70,115)( 73, 92)( 74,119)( 78,104)
        ( 81, 87)( 82,101)( 85, 91)( 86,102)( 90, 98)( 93, 99)( 95,114)( 97,103)(105,109)(106,108)(112,118)(113,120)
        (116,122)(117,124)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 96)( 40, 68)( 42, 48)( 43, 99)( 46, 72)( 47,103)( 50, 55)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,115)( 62, 67)( 63, 91)( 65, 71)( 66,109)( 69, 95)( 70,105)( 74,111)( 75,107)( 77, 82)( 78,119)
        ( 80, 86)( 81,124)( 84, 90)( 85,121)( 88, 94)( 89,117)( 92,108)( 93,114)( 97,102)( 98,101)(100,106)(104,110)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,117)( 58, 76)( 59,114)( 62, 68)( 63, 95)( 64, 88)( 67, 72)( 70, 93)( 71, 92)( 75,108)( 77, 83)( 78,118)
        ( 79,110)( 82, 87)( 85, 91)( 86,119)( 89, 98)( 90,122)( 94, 99)( 97,103)(101,107)(102,123)(105,111)(106,121)
        (109,115)(113,116)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,117)( 58, 76)( 59,114)( 62, 68)( 63, 95)( 64, 88)( 67, 72)( 70, 93)( 71, 92)( 75,108)( 77, 83)( 78,118)
        ( 79,110)( 81, 87)( 82,121)( 86, 91)( 89, 98)( 90,122)( 94, 99)( 97,103)(101,107)(102,123)(105,111)(106,120)
        (109,115)(113,116)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 94)( 40, 70)( 42, 48)( 43, 98)( 46, 73)( 47,102)( 50, 56)( 51,113)( 52, 74)( 54, 60)
        ( 55,117)( 58, 77)( 59,121)( 62, 68)( 63,100)( 64, 88)( 66, 72)( 67, 96)( 71, 92)( 75,110)( 76,106)( 78, 84)
        ( 79, 90)( 80,108)( 83, 87)( 86, 91)( 89,104)( 93, 97)( 95,101)( 99,105)(103,109)(107,122)(111,116)(112,123)
        (114,120)(115,119)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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, 85)( 38, 44)( 39, 94)( 40, 70)( 42, 48)( 43, 98)( 46, 73)( 47,102)( 50, 56)( 51,113)( 52, 74)( 54, 60)
        ( 55,117)( 58, 77)( 59,121)( 62, 68)( 63,100)( 64, 88)( 66, 72)( 67, 96)( 71, 92)( 75,110)( 76,106)( 78, 83)
        ( 79, 90)( 80,108)( 82, 87)( 86, 91)( 89,104)( 93, 97)( 95,101)( 99,105)(103,109)(107,122)(111,116)(112,123)
        (114,120)(115,119)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 92)( 40, 70)( 42, 48)( 43, 96)( 46, 73)( 47,100)( 50, 56)( 51,113)( 52, 74)( 54, 60)
        ( 55,110)( 58, 77)( 59,114)( 62, 68)( 63,117)( 64, 83)( 66, 72)( 67,121)( 71, 88)( 75,108)( 76,104)( 78, 84)
        ( 79,120)( 80,106)( 82, 87)( 89, 95)( 90, 94)( 91,122)( 93, 99)( 97,103)( 98,123)(101,107)(102,119)(105,115)
        (109,112)(111,116)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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)( 82,111)( 83, 97)
        ( 85, 91)( 86,115)( 89, 95)( 90,116)( 93, 99)( 94,119)( 98,108)(102,107)(103,106)(109,114)(110,120)(112,118)
        (113,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47, 83)( 50, 55)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58, 79)( 61, 67)( 62,101)( 63, 95)( 65, 71)( 66,113)( 69, 75)( 70,117)( 73, 99)( 74,118)( 78,111)
        ( 81, 87)( 82,108)( 85, 90)( 86,121)( 89, 94)( 92, 98)( 93,122)( 96,105)( 97,123)(100,106)(102,116)(104,110)
        (109,124)(114,120)(115,119),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47, 83)( 50, 55)( 51, 77)( 53, 59)( 54,112)
        ( 57, 80)( 58, 79)( 61, 67)( 62,101)( 63, 95)( 65, 71)( 66,113)( 69, 75)( 70,117)( 73, 99)( 74,118)( 78,111)
        ( 81, 87)( 82,108)( 85, 91)( 86,121)( 89, 94)( 90,122)( 93, 98)( 96,105)( 97,123)(100,106)(102,116)(104,110)
        (109,124)(114,120)(115,119),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47, 84)( 50, 56)( 51,112)( 52, 78)( 54, 60)
        ( 55,110)( 58, 81)( 59, 80)( 62, 68)( 63, 98)( 64, 93)( 66, 72)( 67,113)( 70, 76)( 71,117)( 74, 96)( 75,121)
        ( 79,108)( 82, 88)( 83,105)( 87, 92)( 90, 95)( 91,106)( 94,102)( 97,103)( 99,116)(101,107)(109,111)(114,120)
        (115,122)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47, 84)( 50, 56)( 51,112)( 52, 78)( 54, 60)
        ( 55,110)( 58, 81)( 59, 80)( 62, 68)( 63, 98)( 64, 93)( 66, 72)( 67,113)( 70, 76)( 71,117)( 74, 96)( 75,121)
        ( 79,108)( 82, 87)( 83,105)( 86, 91)( 89, 95)( 90,106)( 94,102)( 97,103)( 99,116)(101,107)(109,111)(114,120)
        (115,122)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      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, 83)( 50, 55)( 51, 78)( 52, 77)( 54, 59)
        ( 57, 80)( 58, 79)( 61, 67)( 62,102)( 63, 96)( 65, 71)( 66,112)( 69, 75)( 70,117)( 73,100)( 74,114)( 81, 87)
        ( 82,109)( 85, 91)( 86,118)( 89, 95)( 90,122)( 93, 99)( 94,123)( 97,106)( 98,120)(101,107)(103,115)(105,111)
        (110,121)(113,116)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,102)( 46, 76)( 47,106)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,117)( 58, 80)( 59,121)( 62, 68)( 63,111)( 64, 96)( 66, 72)( 67,112)( 70, 75)( 71,108)( 74,100)( 78, 97)
        ( 79,110)( 81, 87)( 82, 86)( 83,122)( 85, 91)( 89, 95)( 90,123)( 93, 99)( 94,119)( 98,116)(101,104)(103,109)
        (107,113)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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)( 39,124)( 40, 73)( 42, 48)( 43, 75)( 46, 77)( 47, 71)( 50, 56)( 51, 63)( 52, 78)( 54, 60)
        ( 55, 97)( 58, 80)( 59,100)( 62, 68)( 64, 96)( 66, 72)( 67, 79)( 70, 76)( 74,123)( 81, 87)( 82,111)( 83,104)
        ( 85, 91)( 86,115)( 89, 95)( 90,119)( 93, 99)( 94,120)( 98,103)(101,107)(102,121)(105,108)(106,117)(109,114)
        (110,113)(112,118)(116,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,118)( 58, 81)( 59,122)( 62, 68)( 63, 98)( 64, 93)( 66, 72)( 67, 99)( 70, 76)( 71, 75)( 74, 96)( 79,116)
        ( 80,112)( 83, 88)( 84,114)( 86, 92)( 87,110)( 90, 95)( 91,106)( 94,102)( 97,103)(101,107)(105,111)(109,115)
        (113,123)(117,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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)( 51,121)( 52, 78)( 54, 60)
        ( 55,118)( 58, 81)( 59,122)( 62, 68)( 63, 98)( 64, 93)( 66, 72)( 67, 99)( 70, 76)( 71, 75)( 74, 96)( 79,116)
        ( 80,112)( 82, 87)( 83,114)( 85, 91)( 86,110)( 89, 95)( 90,106)( 94,102)( 97,103)(101,107)(105,111)(109,115)
        (113,123)(117,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 46)( 42,100)( 45, 75)( 48, 54)( 49,107)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,116)( 60, 66)( 61, 73)( 62, 95)( 64, 70)( 65, 69)( 68, 74)( 72, 99)( 77,103)( 78,101)( 80, 86)( 81,117)
        ( 82,113)( 84, 90)( 85,118)( 88, 94)( 89,121)( 92, 98)( 93,122)( 96,102)( 97,106)(104,110)(105,123)(108,114)
        (109,120)(112,115)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 72)( 41, 47)( 42, 97)( 45, 76)( 46,100)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,113)( 61, 67)( 62, 74)( 63, 92)( 65, 71)( 66, 70)( 69, 75)( 73, 96)( 78,107)( 79,104)( 82, 87)
        ( 83,109)( 85, 91)( 86,119)( 89, 95)( 90,121)( 93, 99)( 94,122)( 98,103)(101,106)(102,123)(105,117)(108,114)
        (110,118)(112,115)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), 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)( 50,111)( 51, 76)( 53, 58)( 56, 79)
        ( 57,112)( 60, 66)( 61, 73)( 62, 95)( 64, 70)( 65, 69)( 68, 74)( 72, 99)( 77,107)( 78,105)( 80, 86)( 81,115)
        ( 82,113)( 84, 90)( 85,119)( 88, 94)( 89,124)( 92, 98)( 93,121)( 96,102)( 97,117)(100,106)(101,110)(108,114)
        (109,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 72)( 42, 47)( 45, 76)( 46,101)( 49, 55)( 50,111)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,113)( 61, 67)( 62, 74)( 63, 92)( 65, 71)( 66, 70)( 69, 75)( 73, 96)( 78,107)( 79,104)( 81, 87)
        ( 82,121)( 83,109)( 86, 91)( 89, 95)( 90,122)( 93, 99)( 94,123)( 97,103)( 98,120)(102,106)(105,117)(108,114)
        (110,118)(112,115)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51,114)( 52, 77)( 54, 59)
        ( 57, 80)( 58,115)( 61, 67)( 62, 74)( 63, 92)( 65, 71)( 66, 70)( 69, 75)( 73, 96)( 78,112)( 79,108)( 81, 87)
        ( 82,118)( 83,110)( 86, 91)( 89, 95)( 90,119)( 93, 99)( 94,122)( 98,103)(101,107)(102,123)(105,111)(106,121)
        (109,116)(113,117)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51,114)( 52, 77)( 54, 59)
        ( 57, 80)( 58,115)( 61, 67)( 62, 74)( 63, 92)( 65, 71)( 66, 70)( 69, 75)( 73, 96)( 78,112)( 79,108)( 81, 87)
        ( 82,118)( 83,110)( 85, 91)( 86,121)( 90, 95)( 93, 99)( 94,122)( 98,103)(101,107)(102,123)(105,111)(106,120)
        (109,116)(113,117)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), 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, 57)( 28, 56)( 30, 36)( 31, 81)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 93)( 40, 72)( 42, 47)( 43, 96)( 46, 76)( 49, 55)( 50,104)( 51, 77)( 53, 59)( 54,108)
        ( 58, 80)( 61, 67)( 62,115)( 63, 88)( 65, 71)( 66,119)( 69, 75)( 70,124)( 73, 92)( 74,121)( 78,100)( 79, 97)
        ( 82, 87)( 83,109)( 85, 91)( 86,106)( 89,111)( 90,102)( 94, 99)( 95,117)( 98,113)(101,107)(103,114)(105,110)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 57)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 55)( 51, 77)( 53, 59)( 54,108)
        ( 58, 79)( 61, 67)( 62,115)( 63, 87)( 65, 71)( 66,119)( 69, 75)( 70,120)( 73, 91)( 74,121)( 78,107)( 81, 86)
        ( 82,109)( 84, 90)( 85,105)( 88,111)( 89,101)( 92, 98)( 93,124)( 94,117)( 96,102)( 97,114)(100,106)(104,110)
        (112,118)(113,123)(116,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 57)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 83)( 38, 44)( 39, 95)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 55)( 51, 77)( 53, 59)( 54,108)
        ( 58, 79)( 61, 67)( 62,115)( 63, 87)( 65, 71)( 66,119)( 69, 75)( 70,124)( 73, 91)( 74,121)( 78,107)( 81, 86)
        ( 82,109)( 84, 90)( 85,105)( 88,111)( 89,101)( 92, 98)( 93,113)( 94,117)( 96,102)( 97,114)(100,106)(104,110)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 96)( 40, 68)( 42, 47)( 43,100)( 46, 72)( 49, 55)( 50, 79)( 51, 73)( 53, 59)( 54, 58)
        ( 57, 76)( 61, 67)( 62,111)( 63, 89)( 66, 71)( 69, 92)( 70,112)( 74,104)( 75,101)( 77, 83)( 78,105)( 81, 87)
        ( 82,119)( 85, 91)( 86,121)( 90,107)( 93, 99)( 94,109)( 95,116)( 97,103)( 98,123)(102,117)(106,118)(108,114)
        (110,122)(113,115)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 31)( 27, 80)( 28, 56)( 30, 35)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50, 54)( 51, 73)( 53, 59)( 57, 76)
        ( 58, 74)( 61, 67)( 62,111)( 63, 84)( 66, 71)( 69, 88)( 70,112)( 75,104)( 77, 83)( 78,117)( 79,105)( 82, 87)
        ( 85,107)( 86,118)( 89, 95)( 90,109)( 91,116)( 93, 99)( 94,122)( 97,103)( 98,123)(101,106)(102,120)(108,114)
        (110,121)(113,115)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51, 55)( 52, 74)( 54, 60)
        ( 58, 77)( 59, 75)( 62, 68)( 63,114)( 64, 89)( 67, 72)( 70, 93)( 71,115)( 76,107)( 78, 84)( 79,118)( 80,108)
        ( 82, 88)( 83,122)( 87, 92)( 90,110)( 91,123)( 94, 98)( 96,102)( 97,116)(100,106)(101,112)(104,109)(105,121)
        (111,117)(113,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47, 83)( 50, 56)( 51, 55)( 52, 78)( 54, 60)
        ( 58, 80)( 59, 79)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,112)( 70, 76)( 71,113)( 74,100)( 75,117)( 81, 87)
        ( 82,109)( 85, 91)( 86,118)( 89, 95)( 90,122)( 93, 99)( 94,123)( 97,106)( 98,120)(101,107)(103,115)(105,111)
        (110,121)(114,116)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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, 78)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 43)( 40, 69)( 42, 48)( 46, 73)( 47, 70)( 50, 56)( 51, 96)( 52, 74)( 54, 60)( 55,100)
        ( 58, 77)( 59,104)( 62, 68)( 63, 94)( 64, 89)( 67, 72)( 71, 95)( 75, 90)( 76, 93)( 79, 84)( 80,108)( 82, 88)
        ( 83,113)( 86, 92)( 87,115)( 91, 99)( 97,103)( 98,116)(101,107)(102,119)(105,111)(106,124)(109,112)(110,121)
        (114,118)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 38, 44)( 39, 63)( 40, 71)( 43, 59)( 46, 52)( 47, 85)( 48, 60)( 50, 56)( 51, 88)( 54, 72)( 55, 92)
        ( 58, 64)( 62, 68)( 66, 70)( 67, 69)( 73, 79)( 74,104)( 75, 96)( 77, 83)( 78,108)( 81, 87)( 82,111)( 86, 91)
        ( 89, 95)( 90,112)( 93, 99)( 94,115)( 97,100)( 98,119)(101,107)(102,121)(103,124)(105,110)(106,117)(109,114)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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, 86)( 38, 44)( 39, 94)( 40, 73)( 42, 48)( 43, 97)( 46, 52)( 47,101)( 50, 56)( 51,105)( 54, 60)( 55,109)
        ( 58, 74)( 59,110)( 62, 67)( 63, 96)( 64, 89)( 66, 71)( 69, 72)( 70, 93)( 75, 81)( 76,114)( 77,113)( 79, 85)
        ( 80,118)( 83, 88)( 84,121)( 87, 92)( 90, 99)( 91,122)( 95,100)( 98,104)(102,108)(103,123)(106,112)(107,120)
        (111,116)(115,117)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 81)( 28, 55)( 30, 36)( 31, 85)( 34, 59)
        ( 35, 89)( 38, 43)( 39, 76)( 40, 72)( 42, 46)( 45, 73)( 48, 54)( 49, 65)( 50, 74)( 52, 58)( 53, 61)( 56, 77)
        ( 57, 94)( 60, 66)( 62, 93)( 64, 70)( 68, 71)( 69, 75)( 78, 84)( 79,105)( 80, 97)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 95,100)( 98,101)( 99,118)(102,108)(103,107)(104,121)(106,112)(110,116)(111,122)
        (114,120)(115,123)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 43)( 39, 99)( 40, 73)( 42, 47)( 45, 74)( 46,100)( 49, 55)( 50,110)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,117)( 61, 67)( 62,108)( 63, 94)( 65, 71)( 66,104)( 69, 72)( 70, 98)( 76,106)( 77,102)( 79, 85)
        ( 80, 84)( 81,121)( 83, 89)( 87, 93)( 88,122)( 91, 97)( 92,123)( 95,112)( 96,119)(101,105)(103,109)(107,113)
        (111,116)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 74)( 42, 48)( 43, 98)( 46, 75)( 47,102)( 50, 56)( 51,114)( 52, 76)( 54, 60)
        ( 55,118)( 58, 79)( 59,121)( 62, 68)( 63,100)( 64, 90)( 66, 72)( 67, 97)( 70, 73)( 71, 94)( 77,110)( 78,106)
        ( 80, 86)( 81, 92)( 82,108)( 85, 89)( 88, 93)( 91,104)( 96,101)( 99,105)(103,109)(107,122)(111,117)(112,116)
        (113,123)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 74)( 42, 48)( 43, 98)( 46, 75)( 47,102)( 50, 56)( 51,114)( 52, 76)( 54, 60)
        ( 55,118)( 58, 79)( 59,121)( 62, 68)( 63,100)( 64, 90)( 66, 72)( 67, 97)( 70, 73)( 71, 94)( 77,110)( 78,106)
        ( 80, 85)( 81, 92)( 82,108)( 84, 89)( 88, 93)( 91,104)( 96,101)( 99,105)(103,109)(107,122)(111,117)(112,116)
        (113,123)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 73)( 42, 48)( 43, 98)( 46, 74)( 47,102)( 50, 56)( 51, 76)( 52, 75)( 54, 59)
        ( 55,107)( 58, 78)( 61, 67)( 62,114)( 63, 90)( 65, 71)( 66,115)( 69, 72)( 70, 94)( 77,106)( 79, 85)( 80,118)
        ( 81,108)( 83, 89)( 84,122)( 88, 93)( 91,110)( 92,123)( 96,101)( 97,116)( 99,105)(100,112)(103,109)(104,121)
        (111,117)(113,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39, 78)( 40, 74)( 42, 48)( 43, 47)( 46, 75)( 50, 56)( 51, 67)( 52, 76)( 54, 60)( 55, 63)
        ( 58, 79)( 59, 96)( 62, 68)( 64, 95)( 66, 72)( 70, 73)( 71, 77)( 80, 86)( 81,106)( 82, 99)( 84, 90)( 85,109)
        ( 88, 94)( 89,113)( 92, 98)( 93,117)( 97,102)(100,103)(101,118)(104,108)(105,121)(107,112)(110,116)(111,122)
        (114,120)(115,123)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 63)( 23, 46)( 24, 43)( 26, 32)( 27, 70)( 28, 54)( 30, 36)( 31, 74)( 34, 58)
        ( 35, 78)( 38, 42)( 40, 45)( 41, 64)( 44, 60)( 47, 53)( 48, 79)( 49, 61)( 51, 57)( 52, 82)( 55, 66)( 56, 86)
        ( 59, 65)( 67, 73)( 68, 98)( 69, 90)( 71, 77)( 72,102)( 75, 81)( 76,106)( 80, 85)( 83, 89)( 84,107)( 87, 93)
        ( 88,110)( 91, 94)( 92,114)( 95,101)( 96,118)( 97,117)( 99,105)(100,122)(103,109)(104,123)(108,113)(111,116)
        (112,124)(115,120)(119,121),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 78)( 28, 54)( 30, 36)( 31, 82)( 34, 58)
        ( 35, 86)( 38, 42)( 40, 45)( 41, 67)( 44, 70)( 47, 53)( 48, 60)( 49, 71)( 51, 57)( 52, 91)( 55, 74)( 56, 94)
        ( 59, 65)( 61, 90)( 63, 69)( 64, 72)( 68, 73)( 75, 81)( 76,103)( 77, 98)( 79, 85)( 80,106)( 83, 89)( 84,109)
        ( 87, 93)( 88,113)( 92, 97)( 95,101)( 96,114)( 99,102)(100,117)(104,108)(105,121)(107,112)(110,116)(111,122)
        (115,120)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 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)( 49,105)( 50, 71)( 52, 57)( 55, 74)( 56,106)
        ( 59, 65)( 60,117)( 61, 89)( 63, 69)( 64,118)( 68, 93)( 72,101)( 73, 97)( 75, 81)( 76, 91)( 77,109)( 79, 84)
        ( 80, 87)( 83, 88)( 86, 92)( 90,113)( 95,100)( 96,119)( 98,121)( 99,115)(102,108)(103,123)(104,122)(107,112)
        (110,116)(111,124)(114,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 80)( 34, 59)
        ( 35, 83)( 38, 42)( 40, 46)( 41, 68)( 44, 71)( 45, 92)( 48, 54)( 49,102)( 50, 72)( 52, 58)( 53,106)( 56, 75)
        ( 57,110)( 60, 66)( 61,118)( 62, 87)( 64, 70)( 65,122)( 69, 91)( 73, 98)( 74, 95)( 76, 82)( 77, 85)( 78,114)
        ( 81, 86)( 84, 90)( 88,100)( 89,115)( 93, 97)( 94,123)( 96,120)( 99,105)(101,121)(103,109)(104,116)(107,113)
        (108,112)(111,117)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 43)( 26, 32)( 27, 79)( 28, 55)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 42)( 40, 46)( 41, 68)( 44, 71)( 45, 96)( 48, 54)( 49,106)( 50, 72)( 52, 58)( 53,110)( 56, 75)
        ( 57,111)( 60, 66)( 61,118)( 62, 91)( 64, 70)( 65,122)( 69, 95)( 73,102)( 74, 99)( 76, 82)( 77, 89)( 78,114)
        ( 80, 86)( 81, 85)( 84, 90)( 88, 94)( 92,104)( 93,115)( 97,101)( 98,123)(100,120)(103,109)(105,121)(107,113)
        (108,116)(112,117)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 65)( 23, 44)( 24, 41)( 26, 32)( 27, 70)( 28, 52)( 30, 36)( 31, 74)( 34, 56)
        ( 35, 78)( 39, 43)( 40, 62)( 42, 58)( 45, 51)( 46, 79)( 47, 59)( 49, 55)( 50, 82)( 53, 66)( 54, 86)( 57, 63)
        ( 61, 64)( 67, 73)( 68, 97)( 69, 90)( 71, 77)( 72,101)( 75, 81)( 76,105)( 80, 85)( 83, 89)( 84,106)( 87, 93)
        ( 88,109)( 91, 94)( 92,113)( 95,100)( 96,117)( 98,104)( 99,122)(102,108)(103,123)(107,112)(110,116)(111,124)
        (114,120)(115,119)(118,121),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 81)( 34, 60)
        ( 35, 85)( 38, 43)( 39, 93)( 40, 66)( 42, 47)( 45, 70)( 46, 94)( 49, 55)( 50, 97)( 51, 71)( 53, 59)( 54,101)
        ( 57, 74)( 58,105)( 61, 67)( 62, 96)( 63, 89)( 65, 68)( 72, 90)( 73, 95)( 75, 80)( 76,113)( 77,106)( 79, 84)
        ( 82, 88)( 83,114)( 86, 92)( 87,117)( 91,100)( 98,104)( 99,118)(102,108)(103,121)(107,109)(110,116)(111,123)
        (112,122)(115,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 78)( 34, 60)
        ( 35, 82)( 38, 44)( 39, 90)( 40, 66)( 42, 47)( 43, 91)( 46, 70)( 49, 55)( 50, 94)( 51, 71)( 53, 59)( 54, 98)
        ( 57, 74)( 58,102)( 61, 67)( 62, 93)( 63, 86)( 65, 68)( 72, 87)( 73, 92)( 76, 81)( 77,106)( 79, 85)( 80,110)
        ( 83, 89)( 84,113)( 88, 97)( 95,101)( 96,114)( 99,105)(100,117)(103,108)(104,121)(107,109)(111,116)(112,122)
        (115,120)(118,124)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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, 85)( 38, 44)( 39, 93)( 40, 67)( 42, 48)( 43, 97)( 46, 71)( 47, 98)( 50, 56)( 51,105)( 52, 72)( 54, 60)
        ( 55,109)( 58, 74)( 59,113)( 62, 68)( 63, 96)( 64, 89)( 66, 69)( 73,101)( 75, 81)( 76, 91)( 77,117)( 79, 84)
        ( 80, 87)( 83, 88)( 86, 92)( 90,121)( 94,100)( 95,122)( 99,104)(102,108)(103,123)(106,112)(107,119)(110,116)
        (111,115)(114,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 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)( 77,110)( 78,103)( 80, 86)( 81,111)( 84, 90)
        ( 85,114)( 88, 94)( 89,118)( 93, 98)( 96,102)( 97,119)(100,105)(101,122)(104,106)(107,113)(108,116)(109,123)
        (112,117)(115,121)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 58)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 44)( 39, 98)( 40, 71)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,111)( 52, 76)( 54, 57)
        ( 55, 78)( 60, 66)( 61,118)( 62, 90)( 64, 70)( 65,122)( 68, 74)( 69,123)( 72, 94)( 73,120)( 77,110)( 80, 85)
        ( 81,112)( 83, 89)( 84,108)( 87, 93)( 88,104)( 91,114)( 92,100)( 95,101)( 96,117)( 97,116)( 99,105)(103,109)
        (107,113)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 20)(  7, 38)(  8, 17)( 10, 24)( 11, 50)( 12, 21)( 14, 19)
        ( 15, 58)( 16, 30)( 18, 34)( 22, 46)( 23, 42)( 25, 29)( 27, 33)( 28, 51)( 31, 54)( 32, 67)( 35, 41)( 36, 78)
        ( 37, 59)( 39, 45)( 40, 79)( 43, 62)( 44, 82)( 47, 53)( 48, 94)( 49, 63)( 52, 66)( 55, 61)( 56,102)( 57, 70)
        ( 60, 74)( 64, 90)( 65, 86)( 68, 73)( 69, 95)( 71, 98)( 72,111)( 75, 81)( 76,122)( 77,103)( 80, 85)( 83, 89)
        ( 84,123)( 87,106)( 88,120)( 91, 97)( 92,115)( 93,107)( 96,110)( 99,105)(100,108)(101,114)(104,118)(109,121)
        (112,117)(113,116)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 31)( 17, 35)( 18, 55)( 22, 44)( 23, 43)( 25, 30)( 26, 63)( 27, 45)( 29, 34)( 32, 47)( 33, 64)( 36, 42)
        ( 37, 69)( 38, 59)( 40, 46)( 41, 66)( 48, 54)( 49, 75)( 50, 67)( 52, 58)( 53, 79)( 56, 62)( 57, 83)( 60, 71)
        ( 61, 87)( 65, 70)( 68, 72)( 73, 78)( 74, 91)( 76, 82)( 77, 96)( 80, 86)( 81, 99)( 84, 90)( 85,103)( 88, 94)
        ( 89,107)( 92, 95)( 93,111)( 97,102)( 98,115)(100,106)(101,116)(104,110)(105,119)(108,114)(109,124)(112,118)
        (113,121)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 22)( 12, 21)( 14, 19)
        ( 15, 51)( 16, 32)( 18, 36)( 23, 44)( 25, 31)( 26, 55)( 27, 45)( 29, 35)( 30, 59)( 33, 47)( 34, 63)( 37, 43)
        ( 38, 75)( 39, 52)( 41, 46)( 42, 58)( 48, 54)( 49, 83)( 50, 67)( 53, 71)( 56, 62)( 57, 76)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 68, 79)( 69, 95)( 72, 78)( 73,107)( 74, 84)( 77, 90)( 80, 86)( 81,106)( 82, 99)( 85,103)
        ( 88, 94)( 89,108)( 92, 98)( 93,115)( 96,102)( 97,119)(100,111)(101,120)(104,110)(105,112)(109,118)(113,117)
        (114,124)(116,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 22)( 12, 21)( 14, 19)
        ( 15, 51)( 16, 32)( 18, 36)( 23, 44)( 25, 31)( 26, 55)( 27, 45)( 29, 35)( 30, 59)( 33, 47)( 34, 63)( 37, 43)
        ( 38, 75)( 39, 52)( 41, 46)( 42, 58)( 48, 54)( 49, 83)( 50, 67)( 53, 71)( 56, 62)( 57, 76)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 68, 79)( 69, 95)( 72, 78)( 73,107)( 74, 84)( 77, 90)( 80, 86)( 81,106)( 82, 99)( 85,103)
        ( 88, 94)( 89,108)( 92, 98)( 93,115)( 96,102)( 97,119)(100,111)(101,124)(104,110)(105,112)(109,118)(113,117)
        (114,121)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 23)( 12, 22)( 14, 20)
        ( 15, 51)( 16, 32)( 18, 36)( 19, 55)( 24, 44)( 26, 31)( 27, 63)( 28, 45)( 30, 35)( 33, 47)( 34, 64)( 37, 43)
        ( 38, 69)( 39, 59)( 41, 46)( 42, 66)( 48, 54)( 49, 75)( 50, 67)( 52, 58)( 53, 79)( 56, 62)( 57, 83)( 60, 71)
        ( 61, 87)( 65, 70)( 68, 72)( 73, 78)( 74, 91)( 76, 82)( 77, 96)( 80, 86)( 81, 99)( 84, 90)( 85,103)( 88, 94)
        ( 89,107)( 92, 95)( 93,111)( 97,102)( 98,115)(100,106)(101,116)(104,110)(105,119)(108,114)(109,120)(112,118)
        (113,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 64)( 23, 47)( 24, 46)( 26, 32)( 27, 70)( 28, 55)( 30, 36)( 31, 74)( 34, 59)
        ( 35, 78)( 38, 44)( 39, 86)( 40, 61)( 42, 45)( 43, 50)( 48, 54)( 49, 87)( 52, 58)( 53, 90)( 56, 66)( 57, 94)
        ( 60, 65)( 62, 82)( 67, 73)( 68,105)( 69, 98)( 71, 77)( 72,109)( 75, 81)( 76,113)( 79, 85)( 80,117)( 83, 89)
        ( 84,121)( 88, 93)( 91, 97)( 92,122)( 95,100)( 96,104)( 99,101)(102,108)(103,123)(106,112)(107,119)(110,116)
        (111,115)(114,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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)(112,116)
        (113,123)(115,121)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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)( 18,123)( 19, 36)( 23, 40)( 25, 31)( 26, 56)( 27, 48)( 29, 35)( 30, 60)( 33, 46)( 34, 64)
        ( 37,124)( 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)( 94,115)( 95,108)( 97,103)( 98,119)(101,107)(102,120)(106,111)(109,112)(110,121)
        (113,118)(114,117)(116,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 18,123)( 19, 37)( 23, 34)( 24, 41)( 26, 32)( 27, 56)( 28, 48)( 30, 36)( 31, 60)( 35, 47)
        ( 38,124)( 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)( 94,115)( 95,108)( 97,103)( 98,119)(102,107)(105,111)(106,120)(109,112)(110,121)
        (113,118)(114,117)(116,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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)( 18,123)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,124)( 40, 44)( 42, 58)( 46, 52)( 47, 77)( 48, 59)( 50, 56)( 51, 81)( 54, 61)( 55, 85)( 60, 74)
        ( 62, 68)( 63, 97)( 64, 89)( 66, 72)( 67,101)( 70, 76)( 71,105)( 75, 80)( 78, 84)( 79,106)( 82, 88)( 83,109)
        ( 86, 92)( 87,112)( 90, 93)( 91,116)( 94,100)( 95,122)( 96,121)( 98,104)( 99,118)(102,108)(103,114)(107,111)
        (110,115)(113,119)(117,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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)( 18,123)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,124)( 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)( 75,108)( 79, 84)( 82, 88)( 83,109)
        ( 86, 92)( 87,112)( 90, 93)( 91,116)( 94,100)( 95,122)( 96,121)( 98,104)( 99,118)(102,107)(103,114)(106,111)
        (110,115)(113,119)(117,120),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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)( 69,100)( 72, 78)( 73,103)( 76, 82)( 77,107)( 81, 86)( 84, 90)( 85,108)
        ( 88, 94)( 89,111)( 92, 95)( 93,115)( 96,102)( 97,122)( 98,120)(101,106)(104,110)(105,123)(109,114)(112,118)
        (113,124)(116,119)(117,121),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124) ), 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, 62)( 45, 51)( 46, 58)( 49, 55)( 50, 81)( 53, 64)( 54, 84)( 57, 63)( 59, 80)
        ( 65, 71)( 66, 93)( 67, 88)( 69, 75)( 70, 96)( 73, 79)( 74,100)( 77, 83)( 78,104)( 82, 87)( 85, 91)( 86,105)
        ( 89, 92)( 90,108)( 94, 99)( 95,112)( 97,103)( 98,117)(101,107)(102,119)(106,111)(109,115)(110,120)(113,116)
        (114,124)(118,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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, 38)( 19, 37)( 24, 40)( 26, 32)( 27, 49)( 28, 41)( 30, 36)( 31, 53)( 35, 44)( 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)( 95,112)( 96,105)( 98,104)( 99,116)(103,108)(106,109)(107,117)(110,115)(111,120)(113,119)
        (114,124)(118,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 40)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 42)( 26, 32)( 27, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 43)
        ( 35, 48)( 39, 44)( 46, 52)( 47, 66)( 50, 56)( 51, 69)( 54, 57)( 55, 73)( 58, 64)( 59, 85)( 60, 77)( 62, 68)
        ( 63, 89)( 67, 72)( 70, 76)( 71, 90)( 74, 80)( 75, 93)( 78, 81)( 79, 97)( 82, 88)( 83,109)( 84,101)( 86, 92)
        ( 87,112)( 91, 96)( 94,100)( 95,113)( 98,104)( 99,116)(102,105)(103,120)(106,111)(107,118)(108,124)(110,115)
        (114,119)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), 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)( 98,121)( 99,112)(101,107)(102,118)(105,111)(106,122)(110,115)(113,116)
        (114,123)(117,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124) ), 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, 38)( 19, 37)( 23, 45)( 24, 42)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 47)
        ( 35, 73)( 39, 44)( 40, 58)( 43, 59)( 46, 52)( 48, 60)( 50, 56)( 51, 74)( 54, 61)( 55, 77)( 62, 68)( 63, 89)
        ( 64, 81)( 66, 72)( 67, 93)( 70, 76)( 71, 97)( 75, 80)( 78, 84)( 79, 98)( 82, 85)( 83,101)( 86, 92)( 87,111)
        ( 88,105)( 90, 96)( 91,115)( 94,100)( 95,118)( 99,104)(102,108)(103,119)(106,109)(107,122)(110,114)(112,117)
        (113,123)(116,121)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110)(111,112,113,114)(115,116,117)(118,119,120,121)
        (122,123,124) ), rec(
      invers := (  1,  5)(  2, 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, 73)( 28, 57)( 30, 36)( 31, 77)( 34, 61)
        ( 35, 80)( 39, 44)( 40, 66)( 42, 48)( 43, 89)( 46, 52)( 47, 92)( 50, 56)( 51, 96)( 54, 60)( 55,100)( 58, 69)
        ( 59,104)( 62, 68)( 63, 91)( 64, 84)( 67, 88)( 70, 76)( 71,111)( 72,109)( 74, 79)( 75,114)( 78, 83)( 81, 87)
        ( 82,115)( 85, 94)( 86,118)( 90, 95)( 93, 99)( 97,103)( 98,119)(101,107)(102,122)(105,108)(106,110)(112,117)
        (113,123)(116,121)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 72)( 28, 54)( 30, 36)( 31, 76)( 34, 57)
        ( 35, 80)( 39, 44)( 40, 62)( 42, 48)( 43, 89)( 46, 65)( 47, 92)( 50, 56)( 51,100)( 52, 66)( 55, 68)( 58, 64)
        ( 59,108)( 60, 84)( 63, 88)( 67, 96)( 69, 75)( 70,115)( 71,101)( 73, 79)( 74,119)( 77, 83)( 78,124)( 81, 87)
        ( 82,121)( 85,104)( 86,117)( 90, 95)( 91,109)( 93, 99)( 94,106)( 97,103)( 98,114)(102,111)(105,110)(107,113)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 73)( 28, 54)( 30, 36)( 31, 77)( 34, 57)
        ( 35, 81)( 39, 44)( 40, 62)( 42, 48)( 43, 90)( 46, 65)( 47, 93)( 50, 56)( 51,101)( 52, 66)( 55, 69)( 58, 64)
        ( 59,108)( 60, 85)( 63, 89)( 67,100)( 68, 97)( 70, 76)( 71,115)( 72,102)( 74, 80)( 75,119)( 78, 84)( 79,124)
        ( 82, 88)( 83,121)( 86,104)( 87,117)( 91, 96)( 92,109)( 94, 99)( 95,106)( 98,111)(103,112)(105,110)(107,114)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 62)( 46, 67)( 49, 55)( 50, 87)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 63, 70)( 69, 84)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,108)( 80, 86)( 81,111)( 85, 90)
        ( 88, 94)( 89,112)( 92, 98)( 93,115)( 96,102)( 97,119)(100,103)(101,120)(104,110)(105,117)(106,124)(109,114)
        (113,118)(116,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), 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, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 62)( 46, 67)( 49, 55)( 50, 87)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 63, 70)( 69, 84)( 72, 78)( 73,105)( 74, 99)( 76, 82)( 77,109)( 80, 86)( 81,113)( 85, 90)
        ( 88, 94)( 89,114)( 92, 98)( 93,117)( 96,102)( 97,121)(100,103)(101,122)(104,108)(106,112)(107,123)(110,116)
        (111,119)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 62)( 46, 67)( 49, 55)( 50, 87)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 63, 70)( 69, 84)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,108)( 80, 86)( 81,111)( 85, 90)
        ( 88, 94)( 89,112)( 92, 98)( 93,115)( 96,102)( 97,119)(100,103)(101,124)(104,110)(105,117)(106,121)(109,114)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 43)( 40, 65)( 42, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 93)( 51, 69)( 53, 59)( 54, 96)( 57, 72)
        ( 58,100)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,113)( 75,104)( 77, 83)( 78,110)( 81, 87)( 82,114)
        ( 85, 91)( 86,118)( 89, 95)( 90,122)( 94, 99)( 97,103)( 98,123)(101,107)(102,120)(105,108)(106,116)(109,112)
        (111,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 96)( 51, 69)( 53, 59)( 54,100)( 57, 72)
        ( 58,104)( 61, 67)( 62, 71)( 63, 88)( 70, 92)( 73, 79)( 74,111)( 75,109)( 77, 83)( 78,112)( 81, 87)( 82,114)
        ( 85, 91)( 86,118)( 89, 95)( 90,122)( 93, 99)( 94,123)( 97,103)( 98,120)(101,107)(102,116)(105,108)(106,110)
        (113,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 80)( 39, 44)( 40, 65)( 42, 48)( 43, 88)( 46, 68)( 47, 91)( 50, 55)( 51, 69)( 53, 59)( 54,100)( 57, 72)
        ( 58,103)( 61, 67)( 62,115)( 63, 83)( 66, 87)( 70, 99)( 71, 95)( 73, 78)( 74, 85)( 75,107)( 77, 82)( 81, 86)
        ( 84,111)( 89, 94)( 90,116)( 92, 98)( 93,117)( 96,119)( 97,113)(101,106)(102,120)(104,110)(105,124)(108,114)
        (109,122)(112,118)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 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, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 39, 44)( 40, 66)( 42, 48)( 43, 93)( 46, 69)( 47, 94)( 50, 56)( 51, 89)( 52, 70)( 54, 60)( 55, 96)
        ( 58, 73)( 59,100)( 62, 68)( 63, 71)( 64, 88)( 67, 92)( 72, 95)( 74, 79)( 75,104)( 77, 83)( 78,108)( 81, 87)
        ( 82,111)( 85, 91)( 86,115)( 90, 99)( 97,103)( 98,116)(101,106)(102,119)(105,107)(109,114)(110,120)(112,118)
        (113,124)(117,122)(121,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 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)( 55,108)
        ( 58, 73)( 59,111)( 62, 68)( 63, 98)( 64, 89)( 67, 93)( 71,103)( 72,100)( 74, 80)( 75,119)( 76,112)( 78, 84)
        ( 79,124)( 82, 88)( 83,121)( 86, 92)( 87,117)( 90,101)( 91,106)( 95, 99)( 97,102)(104,110)(105,118)(109,114)
        (113,115)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 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, 93)( 50, 56)( 51,103)( 52, 70)( 54, 60)( 55,107)
        ( 58, 73)( 59,111)( 62, 68)( 63, 97)( 64, 87)( 67, 91)( 71, 99)( 72, 95)( 74, 78)( 76, 82)( 77,112)( 80, 86)
        ( 81,116)( 84, 90)( 85,118)( 88,101)( 89,122)( 94, 98)( 96,102)(100,106)(104,110)(105,123)(108,114)(109,120)
        (113,115)(117,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 82)( 39, 44)( 40, 66)( 42, 48)( 43, 90)( 46, 69)( 47, 93)( 50, 56)( 51,104)( 52, 70)( 54, 60)( 55,109)
        ( 58, 73)( 59,106)( 62, 68)( 63,114)( 64, 85)( 67, 89)( 71,100)( 72, 97)( 74, 80)( 75,121)( 76,102)( 78, 84)
        ( 79,122)( 83, 88)( 86,110)( 87,123)( 91, 96)( 92,115)( 94, 99)( 95,112)( 98,117)(101,107)(103,118)(105,108)
        (111,116)(113,120)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 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, 76)( 28, 57)( 30, 36)( 31, 80)( 34, 61)
        ( 35, 84)( 39, 44)( 40, 66)( 42, 48)( 43, 93)( 46, 69)( 47, 97)( 50, 56)( 51, 89)( 52, 70)( 54, 60)( 55, 98)
        ( 58, 73)( 59,102)( 62, 68)( 63, 71)( 64, 88)( 67, 92)( 72, 95)( 74, 79)( 75,106)( 77, 83)( 78,110)( 81, 87)
        ( 82,113)( 85, 91)( 86,117)( 90,101)( 94, 96)( 99,105)(100,118)(103,108)(104,121)(107,109)(111,116)(112,122)
        (114,120)(115,123)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)( 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 42)
        ( 35, 48)( 40, 44)( 46, 52)( 47, 66)( 50, 56)( 51, 69)( 54, 57)( 55, 73)( 58, 64)( 59, 85)( 60, 77)( 62, 68)
        ( 63, 89)( 67, 72)( 70, 76)( 71, 90)( 74, 80)( 75, 93)( 78, 81)( 79, 97)( 82, 88)( 83,108)( 84,101)( 86, 92)
        ( 87,112)( 91, 96)( 94,100)( 95,113)( 98,104)( 99,116)(102,105)(103,119)(106,111)(107,124)(109,115)(110,121)
        (114,118)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124) ), 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, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 47)
        ( 35, 69)( 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)( 83,108)( 84,101)( 86, 92)
        ( 87,112)( 90, 96)( 91,115)( 95,100)( 98,104)( 99,116)(102,105)(103,119)(106,111)(107,124)(109,114)(110,121)
        (113,118)(117,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 40, 44)( 42, 58)( 46, 52)( 47, 80)( 48, 59)( 50, 56)( 51, 84)( 54, 61)( 55, 88)( 60, 76)( 62, 68)
        ( 63, 99)( 64, 92)( 66, 72)( 67,103)( 70, 75)( 71,107)( 74, 79)( 77, 83)( 78,108)( 81, 87)( 82,111)( 85, 91)
        ( 86,112)( 89, 95)( 90,115)( 93, 96)( 94,119)( 97,102)( 98,124)(100,106)(101,121)(104,110)(105,117)(109,114)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      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)( 51,102)( 52, 68)( 54, 57)( 55, 71)
        ( 60, 66)( 61,109)( 62, 83)( 65, 87)( 69, 98)( 70, 94)( 73, 78)( 74,103)( 76, 82)( 77,118)( 80, 86)( 81,119)
        ( 84,106)( 85,121)( 89, 93)( 90,110)( 92, 97)( 95,113)( 96,111)( 99,105)(100,123)(101,114)(104,117)(107,112)
        (108,116)(115,122)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 38)( 19, 37)( 23, 47)( 24, 46)( 26, 32)( 27, 71)( 28, 55)( 30, 36)( 31, 75)( 34, 59)
        ( 35, 79)( 39, 44)( 40, 64)( 42, 45)( 43, 50)( 48, 54)( 49, 65)( 52, 58)( 53, 61)( 56, 67)( 57, 84)( 60, 66)
        ( 62, 83)( 68, 74)( 69, 95)( 70, 87)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 80, 86)( 81,107)( 85, 90)( 88, 91)
        ( 89,108)( 92, 98)( 93,119)( 94,111)( 96,102)( 97,120)(100,106)(101,117)(104,110)(105,122)(109,114)(112,115)
        (113,123)(116,121)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 34)( 12, 22)( 14, 20)
        ( 15, 23)( 16, 33)( 18, 38)( 19, 37)( 24, 40)( 26, 32)( 27, 51)( 28, 43)( 30, 36)( 31, 55)( 35, 46)( 39, 41)
        ( 44, 47)( 45, 56)( 48, 54)( 49, 67)( 50, 59)( 52, 58)( 53, 71)( 57, 62)( 60, 63)( 61, 72)( 64, 70)( 65, 83)
        ( 66, 75)( 68, 74)( 69, 87)( 73, 78)( 76, 79)( 77, 88)( 80, 86)( 81, 99)( 82, 91)( 84, 90)( 85,103)( 89, 94)
        ( 92, 95)( 93,104)( 96,102)( 97,114)( 98,107)(100,106)(101,118)(105,110)(108,111)(109,119)(112,117)(113,122)
        (115,121)(116,123)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51, 98)( 52, 62)( 54, 60)( 55, 99)( 58, 65)
        ( 59,101)( 63, 97)( 64, 93)( 66, 72)( 67,111)( 68,105)( 70, 76)( 71,115)( 74, 80)( 75,119)( 78, 84)( 79,124)
        ( 82, 88)( 83,121)( 86, 92)( 87,117)( 90, 96)( 91,113)( 94,103)( 95,110)(100,104)(102,107)(106,108)(109,114)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 68)( 28, 57)( 30, 36)( 31, 72)( 34, 40)( 35, 76)
        ( 38, 44)( 39, 80)( 42, 48)( 43, 84)( 46, 61)( 47, 88)( 50, 56)( 51, 97)( 52, 62)( 54, 60)( 55,100)( 58, 65)
        ( 59,101)( 63, 96)( 64, 92)( 66, 71)( 67,104)( 69, 75)( 70,112)( 73, 79)( 74,115)( 77, 83)( 78,119)( 81, 87)
        ( 82,124)( 85, 91)( 86,121)( 89, 95)( 90,117)( 93,108)( 94,114)( 98,103)( 99,109)(102,107)(105,111)(106,110)
        (113,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,101)( 52, 62)( 54, 60)( 55,102)( 58, 65)
        ( 59, 99)( 63, 97)( 64, 93)( 66, 72)( 67,110)( 68,104)( 70, 76)( 71,114)( 74, 80)( 75,118)( 78, 84)( 79,122)
        ( 82, 88)( 83,123)( 86, 92)( 87,120)( 90, 96)( 91,116)( 94,106)( 95,112)( 98,103)(100,107)(105,108)(109,113)
        (111,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,101)( 52, 62)( 54, 60)( 55,102)( 58, 65)
        ( 59, 99)( 63, 97)( 64, 93)( 66, 72)( 67,112)( 68,104)( 70, 76)( 71,116)( 74, 80)( 75,120)( 78, 84)( 79,121)
        ( 82, 88)( 83,118)( 86, 92)( 87,114)( 90, 96)( 91,110)( 94,106)( 95,124)( 98,103)(100,107)(105,108)(109,115)
        (111,123)(113,119)(117,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,101)( 52, 62)( 54, 60)( 55,102)( 58, 65)
        ( 59, 99)( 63, 97)( 64, 93)( 66, 72)( 67,111)( 68,104)( 70, 76)( 71,115)( 74, 80)( 75,119)( 78, 84)( 79,124)
        ( 82, 88)( 83,121)( 86, 92)( 87,117)( 90, 96)( 91,113)( 94,106)( 95,110)( 98,103)(100,107)(105,108)(109,114)
        (112,118)(116,122)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51, 98)( 52, 62)( 54, 60)( 55,100)( 58, 65)
        ( 59,104)( 63, 97)( 64, 93)( 66, 72)( 67,111)( 68,109)( 70, 76)( 71,114)( 74, 80)( 75,118)( 78, 84)( 79,122)
        ( 82, 88)( 83,123)( 86, 92)( 87,120)( 90, 96)( 91,116)( 94,102)( 95,113)( 99,103)(101,107)(105,108)(106,110)
        (112,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,102)( 52, 62)( 54, 60)( 55, 99)( 58, 65)
        ( 59,103)( 63, 97)( 64, 93)( 66, 72)( 67,111)( 68,107)( 70, 76)( 71,114)( 74, 80)( 75,118)( 78, 84)( 79,122)
        ( 82, 88)( 83,123)( 86, 92)( 87,120)( 90, 96)( 91,116)( 94,105)( 95,113)( 98,101)(100,106)(104,109)(108,110)
        (112,117)(115,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,102)( 52, 62)( 54, 60)( 55, 99)( 58, 65)
        ( 59,103)( 63, 97)( 64, 93)( 66, 72)( 67,113)( 68,107)( 70, 76)( 71,117)( 74, 80)( 75,121)( 78, 84)( 79,122)
        ( 82, 88)( 83,123)( 86, 92)( 87,119)( 90, 96)( 91,115)( 94,105)( 95,112)( 98,101)(100,106)(104,109)(108,110)
        (111,116)(114,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109)(110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 35)(  8, 15)( 10, 23)( 11, 46)( 12, 20)( 14, 18)
        ( 16, 31)( 17, 28)( 21, 43)( 22, 39)( 24, 30)( 25, 66)( 26, 50)( 29, 54)( 32, 38)( 33, 74)( 34, 55)( 36, 42)
        ( 37, 75)( 40, 58)( 41, 78)( 44, 49)( 45, 59)( 47, 53)( 48, 87)( 51, 62)( 52, 90)( 56, 70)( 57, 67)( 60, 86)
        ( 61, 82)( 63, 69)( 64,109)( 65, 94)( 68, 98)( 71, 77)( 72,114)( 73, 99)( 76, 81)( 79, 85)( 80,115)( 83,102)
        ( 84,117)( 88, 93)( 89,103)( 91, 97)( 92,122)( 95,106)( 96,105)(100,113)(101,110)(104,121)(107,112)(108,123)
        (111,119)(116,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 58)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 70)( 34, 53)( 35, 73)
        ( 38, 44)( 39, 84)( 40, 61)( 42, 48)( 43, 88)( 46, 65)( 47, 92)( 51, 69)( 52, 66)( 54, 60)( 55,108)( 56, 77)
        ( 59, 64)( 62, 81)( 63,109)( 67,100)( 68, 96)( 71, 76)( 72,101)( 74, 80)( 75,115)( 78,104)( 79,118)( 82, 87)
        ( 83,110)( 85, 91)( 86,106)( 89, 95)( 90,123)( 93, 99)( 94,120)( 97,112)( 98,117)(102,114)(103,113)(105,111)
        (107,122)(116,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 70)( 34, 53)( 35, 73)
        ( 38, 44)( 39, 82)( 40, 62)( 42, 48)( 43, 85)( 46, 65)( 47, 89)( 51, 69)( 52, 66)( 54, 60)( 55,104)( 56, 77)
        ( 58, 64)( 59,107)( 63, 81)( 67, 97)( 68, 93)( 71, 76)( 72, 98)( 74, 80)( 75,114)( 78,101)( 79,117)( 83, 88)
        ( 84,108)( 86, 92)( 87,123)( 90, 96)( 91,119)( 94,111)( 95,116)( 99,113)(100,112)(102,106)(103,121)(105,110)
        (109,122)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 70)( 34, 53)( 35, 73)
        ( 38, 44)( 39, 85)( 40, 62)( 42, 48)( 43, 88)( 46, 65)( 47, 92)( 51, 69)( 52, 66)( 54, 60)( 55,107)( 56, 77)
        ( 58, 64)( 59,108)( 63, 81)( 67,100)( 68, 96)( 71, 76)( 72,101)( 74, 80)( 75,114)( 78,104)( 79,117)( 82, 87)
        ( 83,122)( 84,109)( 86, 91)( 89, 95)( 90,123)( 93, 99)( 94,119)( 97,111)( 98,116)(102,113)(103,112)(105,110)
        (106,121)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 60)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 73)( 34, 53)( 35, 76)
        ( 38, 44)( 39, 85)( 40, 64)( 42, 48)( 43, 88)( 46, 68)( 47, 92)( 51, 72)( 52, 69)( 54, 59)( 55,108)( 56, 80)
        ( 58, 63)( 61, 67)( 62,109)( 65, 84)( 66,106)( 70,100)( 71, 96)( 74, 79)( 75,101)( 77, 83)( 78,118)( 81,104)
        ( 82,121)( 86, 91)( 87,111)( 89, 95)( 90,112)( 93, 99)( 94,123)( 97,115)( 98,120)(102,117)(103,116)(105,110)
        (107,114)(113,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 86)( 40, 65)( 42, 48)( 43, 89)( 46, 69)( 47, 93)( 51, 73)( 52, 70)( 54, 60)( 55,107)( 56, 81)
        ( 58, 64)( 59,112)( 62, 68)( 63,109)( 66, 85)( 67,105)( 71,100)( 72, 97)( 75, 80)( 76,101)( 78, 84)( 79,119)
        ( 82,103)( 83,121)( 87, 92)( 88,113)( 90, 96)( 91,114)( 94, 99)( 95,123)( 98,117)(102,118)(104,110)(106,116)
        (108,111)(115,122)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 72)( 34, 53)( 35, 75)
        ( 38, 44)( 39, 81)( 40, 65)( 42, 48)( 43, 77)( 46, 69)( 47, 74)( 51, 71)( 52, 70)( 54, 60)( 55, 87)( 56, 79)
        ( 58, 64)( 59, 91)( 62, 68)( 63, 95)( 66, 83)( 67, 99)( 73, 78)( 76, 82)( 80, 84)( 85, 90)( 86,103)( 88, 94)
        ( 89,108)( 92, 98)( 93,111)( 96,102)( 97,114)(100,106)(101,118)(104,107)(105,119)(109,113)(110,122)(112,117)
        (115,121)(116,123)(120,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 72)( 34, 53)( 35, 75)
        ( 38, 44)( 39, 84)( 40, 66)( 42, 48)( 43, 87)( 46, 67)( 47, 91)( 51, 71)( 52, 68)( 54, 60)( 55,106)( 56, 79)
        ( 58, 64)( 59,109)( 62, 65)( 63, 83)( 69, 99)( 70, 95)( 73, 78)( 74,100)( 76, 82)( 77,114)( 80,103)( 81,117)
        ( 85, 90)( 86,110)( 88, 94)( 89,123)( 92, 98)( 93,119)( 96,102)( 97,116)(101,113)(104,108)(105,121)(107,112)
        (111,122)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), 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, 43)( 23, 29)( 24, 35)( 27, 33)( 28, 50)( 31, 38)( 32, 54)( 36, 53)( 37, 46)( 39, 45)
        ( 40, 70)( 41, 58)( 44, 49)( 47, 62)( 48, 71)( 51, 57)( 52, 63)( 55, 61)( 56, 78)( 59, 66)( 60, 82)( 64, 81)
        ( 65, 74)( 67, 73)( 68, 98)( 69, 86)( 72, 77)( 75, 90)( 76, 99)( 79, 85)( 80, 91)( 83, 89)( 84,105)( 87, 94)
        ( 88,109)( 92,108)( 93,102)( 95,101)( 96,120)( 97,113)(100,104)(103,117)(106,112)(107,118)(110,116)(111,124)
        (114,122)(115,121)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 20)(  7, 31)(  8, 17)( 11, 24)( 12, 21)( 14, 19)( 15, 47)
        ( 16, 25)( 18, 28)( 22, 39)( 23, 35)( 26, 43)( 27, 40)( 29, 34)( 30, 48)( 32, 38)( 33, 60)( 36, 51)( 37, 63)
        ( 41, 55)( 42, 52)( 44, 50)( 45, 79)( 46, 56)( 49, 59)( 53, 71)( 54, 67)( 57, 75)( 58, 72)( 61, 66)( 62, 80)
        ( 64, 70)( 65, 92)( 68, 83)( 69, 95)( 73, 87)( 74, 84)( 76, 82)( 77,111)( 78, 88)( 81, 91)( 85,103)( 86, 99)
        ( 89,107)( 90,104)( 93, 98)( 94,112)( 96,102)( 97,120)(100,106)(101,118)(105,115)(108,114)(109,124)(110,116)
        (113,119)(117,121)(122,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 20)(  7, 31)(  8, 17)( 11, 24)( 12, 21)( 14, 19)( 15, 47)
        ( 16, 25)( 18, 28)( 22, 39)( 23, 35)( 26, 43)( 27, 40)( 29, 34)( 30, 48)( 32, 38)( 33, 60)( 36, 51)( 37, 63)
        ( 41, 55)( 42, 52)( 44, 50)( 45, 79)( 46, 56)( 49, 59)( 53, 71)( 54, 67)( 57, 75)( 58, 72)( 61, 66)( 62, 80)
        ( 64, 70)( 65, 92)( 68, 83)( 69, 95)( 73, 87)( 74, 84)( 76, 82)( 77,111)( 78, 88)( 81, 91)( 85,103)( 86, 99)
        ( 89,107)( 90,104)( 93, 98)( 94,112)( 96,102)( 97,122)(100,115)(101,120)(105,117)(106,116)(108,114)(109,124)
        (110,118)(113,121)(119,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 74)
        ( 38, 61)( 39, 77)( 43, 65)( 44, 62)( 46, 52)( 47, 93)( 48, 66)( 50, 56)( 51, 96)( 54, 60)( 55,100)( 58, 69)
        ( 59,104)( 63, 85)( 64, 81)( 67, 89)( 68, 86)( 70, 76)( 71,121)( 72,107)( 75, 80)( 78, 84)( 79,122)( 82,111)
        ( 83,116)( 87,113)( 88,112)( 90, 95)( 91,119)( 92,114)( 94, 99)( 97,103)( 98,120)(101,106)(102,109)(105,110)
        (108,117)(115,123)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ), 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, 72)( 32, 57)( 34, 40)( 35, 73)
        ( 38, 61)( 39, 76)( 42, 48)( 43, 88)( 44, 62)( 46, 52)( 47, 92)( 50, 65)( 51, 95)( 55, 60)( 56, 66)( 58, 69)
        ( 59,104)( 63, 84)( 64, 80)( 67,103)( 68, 99)( 70, 75)( 71,107)( 74, 79)( 77, 83)( 78,108)( 81,111)( 82,119)
        ( 85, 91)( 86,101)( 87,112)( 89, 94)( 90, 97)( 93, 98)( 96,102)(100,115)(105,110)(106,116)(109,122)(113,118)
        (114,124)(117,121)(120,123),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 12)(  4, 10)(  6, 14)(  7, 27)(  8, 19)(  9, 11)( 13, 18)( 16, 22)( 17, 28)
        ( 20, 23)( 21, 31)( 24, 30)( 25, 43)( 26, 35)( 29, 34)( 32, 38)( 33, 44)( 36, 39)( 37, 47)( 40, 46)( 41, 59)
        ( 42, 51)( 45, 50)( 48, 54)( 49, 60)( 52, 55)( 53, 63)( 56, 62)( 57, 75)( 58, 67)( 61, 66)( 64, 70)( 65, 76)
        ( 68, 71)( 69, 79)( 72, 78)( 73, 91)( 74, 83)( 77, 82)( 80, 86)( 81, 92)( 84, 87)( 85, 95)( 88, 94)( 89,107)
        ( 90, 99)( 93, 98)( 96,102)( 97,108)(100,103)(101,111)(104,110)(105,122)(106,115)(109,114)(112,118)(113,123)
        (116,120)(117,119)(121,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 12)(  4, 10)(  6, 14)(  7, 26)(  8, 19)(  9, 11)( 13, 23)( 16, 22)( 17, 31)
        ( 18, 24)( 20, 27)( 21, 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)(110,118)(112,117)(113,124)
        (116,121)(119,123)(120,122),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 23)(  4, 10)(  6, 13)(  7, 25)(  8, 18)(  9, 11)( 12, 22)( 15, 21)( 16, 34)
        ( 17, 26)( 19, 28)( 20, 38)( 24, 29)( 27, 30)( 31, 37)( 32, 46)( 33, 39)( 35, 41)( 36, 50)( 40, 42)( 43, 49)
        ( 44, 58)( 45, 51)( 47, 53)( 48, 62)( 52, 54)( 55, 61)( 56, 70)( 57, 63)( 59, 65)( 60, 74)( 64, 66)( 67, 73)
        ( 68, 82)( 69, 75)( 71, 77)( 72, 86)( 76, 78)( 79, 85)( 80, 94)( 81, 87)( 83, 89)( 84, 98)( 88, 90)( 91, 97)
        ( 92,106)( 93, 99)( 95,101)( 96,110)(100,102)(103,109)(104,118)(105,111)(107,113)(108,121)(112,114)(115,120)
        (116,123)(117,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13)( 14, 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 23)(  4, 10)(  6, 13)(  7, 25)(  8, 18)(  9, 11)( 12, 22)( 15, 21)( 16, 34)
        ( 17, 26)( 19, 28)( 20, 38)( 24, 29)( 27, 30)( 31, 37)( 32, 46)( 33, 39)( 35, 41)( 36, 50)( 40, 42)( 43, 49)
        ( 44, 58)( 45, 51)( 47, 53)( 48, 62)( 52, 54)( 55, 61)( 56, 70)( 57, 63)( 59, 65)( 60, 74)( 64, 66)( 67, 73)
        ( 68, 82)( 69, 75)( 71, 77)( 72, 86)( 76, 78)( 79, 85)( 80, 94)( 81, 87)( 83, 89)( 84, 98)( 88, 90)( 91, 97)
        ( 92,106)( 93, 99)( 95,101)( 96,110)(100,102)(103,109)(104,118)(105,111)(107,113)(108,122)(112,114)(115,121)
        (116,120)(117,123)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13)( 14, 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 50)( 18, 27)( 20, 31)( 21, 54)( 25, 30)( 26, 43)( 28, 46)( 29, 63)( 32, 38)( 33, 74)( 34, 58)( 36, 42)
        ( 37, 68)( 40, 45)( 41, 65)( 44, 62)( 47, 53)( 48, 78)( 49, 66)( 51, 57)( 52, 82)( 55, 61)( 56, 86)( 59, 70)
        ( 60, 90)( 64, 69)( 67, 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)( 96,117)( 99,105)(100,122)(101,121)(104,109)(107,113)(108,123)(111,116)
        (112,119)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 31)( 21, 55)( 25, 30)( 26, 43)( 28, 47)( 29, 64)( 32, 38)( 33, 75)( 34, 59)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 63)( 45, 87)( 48, 54)( 49, 94)( 50, 67)( 52, 58)( 53, 98)( 56, 62)( 57,102)
        ( 60, 71)( 61,106)( 65, 70)( 66, 88)( 68, 90)( 69, 85)( 72, 78)( 73,111)( 74,110)( 76, 82)( 77,115)( 80, 86)
        ( 81, 93)( 84, 89)( 91, 97)( 92,116)( 95,101)( 96,118)( 99,105)(100,122)(103,109)(104,123)(107,113)(108,120)
        (112,114)(117,121)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 31)( 21, 55)( 25, 30)( 26, 43)( 28, 47)( 29, 64)( 32, 38)( 33, 75)( 34, 59)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 63)( 45, 87)( 48, 54)( 49, 98)( 50, 67)( 52, 58)( 53,102)( 56, 62)( 57,105)
        ( 60, 71)( 61,109)( 65, 70)( 66, 91)( 68, 94)( 69,118)( 72, 78)( 73, 77)( 74,113)( 76, 82)( 80, 86)( 81,114)
        ( 84, 90)( 85,123)( 88, 93)( 89,120)( 92,117)( 95,101)( 96,111)( 97,121)( 99,104)(100,107)(103,108)(106,112)
        (110,116)(115,122)(119,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 32)( 21, 31)( 25, 30)( 26, 43)( 28, 47)( 29, 56)( 33, 38)( 34, 52)( 36, 42)( 37, 64)
        ( 40, 46)( 41, 67)( 44, 55)( 45, 71)( 48, 54)( 49, 83)( 50, 59)( 53, 63)( 57, 62)( 58, 75)( 60, 79)( 61, 88)
        ( 65, 70)( 66, 84)( 68, 74)( 69, 95)( 72, 78)( 73, 98)( 76, 87)( 77,102)( 80, 86)( 81,114)( 82, 91)( 85, 94)
        ( 89, 93)( 90,106)( 92,110)( 96,101)( 97,115)( 99,105)(100,119)(103,109)(104,120)(107,113)(108,122)(111,117)
        (112,123)(116,118)(121,124),
      nbP := 124,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124) ), 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, 62)( 39, 42)
        ( 40, 66)( 43, 49)( 44, 78)( 45, 70)( 47, 53)( 48, 82)( 51, 57)( 52, 86)( 55, 61)( 56, 90)( 59, 65)( 60, 93)
        ( 63, 69)( 64, 97)( 67, 73)( 68,101)( 71, 74)( 72,105)( 75, 81)( 76,110)( 77,109)( 79, 85)( 80,114)( 83, 89)
        ( 84,117)( 87, 92)( 88,121)( 91, 96)( 94,100)( 95,122)( 98,104)( 99,123)(102,108)(103,119)(106,112)(107,116)
        (111,113)(115,120)(118,124),
      nbP := 124,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124) ), rec(
      invers := (  1,  3)(  2,123)(  4,119)(  5,124)(  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)(120,122),
      nbP := 124,
      next := (  1,  2)(  3,  4,  5)(  6,  7,  8,  9)( 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124) ) ];
