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