return [ rec(
      invers := (  1,  3)(  2,  7)(  4, 10)(  5, 15)(  6,  8)(  9, 11)( 12, 18)( 13, 23)( 14, 16)( 17, 19)( 20, 26)
        ( 21, 31)( 22, 24)( 25, 27)( 28, 34)( 29, 39)( 30, 32)( 33, 35)( 36, 42)( 37, 47)( 38, 40)( 41, 43)( 44, 50)
        ( 45, 55)( 46, 48)( 49, 51)( 52, 58)( 53, 63)( 54, 56)( 57, 59)( 60, 66)( 61, 71)( 62, 64)( 65, 67)( 68, 74)
        ( 69, 79)( 70, 72)( 73, 75)( 76, 82)( 77, 87)( 78, 80)( 81, 83)( 84, 90)( 85, 95)( 86, 88)( 89, 91)( 92, 98)
        ( 93,103)( 94, 96)( 97, 99)(100,106)(101,111)(102,104)(105,107)(108,114)(109,119)(110,112)(113,115)(116,122)
        (117,127)(118,120)(121,123)(124,130)(125,135)(126,128)(129,131)(132,138)(133,143)(134,136)(137,139)(140,146)
        (141,150)(142,144)(145,147)(148,152)(149,151),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), 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)( 70,123)( 73, 79)( 74,127)( 77, 83)( 78,131)( 81,108)
        ( 82,135)( 85, 91)( 86,139)( 87,109)( 89, 95)( 90,143)( 93, 99)( 94,147)( 97,103)( 98,152)(101,107)(102,149)
        (105,111)(106,145)(110,136)(112,118)(113,133)(114,141)(116,122)(117,129)(120,126)(121,125)(124,130)(128,134)
        (132,138)(137,142)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 87)( 43, 57)( 45, 51)( 46, 91)( 49, 55)( 50, 95)( 53, 60)( 54, 99)( 58, 83)( 59, 80)
        ( 61, 67)( 62,104)( 63,103)( 65, 71)( 66,112)( 69, 75)( 70,115)( 73, 79)( 74,119)( 77, 82)( 78,110)( 81,107)
        ( 84, 90)( 85,123)( 86,108)( 88, 94)( 89,127)( 92, 98)( 93,131)( 96,102)( 97,135)(100,106)(101,139)(105,111)
        (109,120)(113,118)(114,140)(116,122)(117,144)(121,126)(124,130)(125,145)(128,134)(129,147)(132,138)(133,152)
        (136,142)(137,149)(141,143)(146,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 34)(  8, 17)( 10, 20)( 11, 38)( 14, 19)( 15, 36)
        ( 16, 28)( 18, 32)( 21, 27)( 22, 50)( 23, 42)( 25, 31)( 26, 54)( 29, 40)( 30, 58)( 33, 37)( 35, 41)( 39, 45)
        ( 43, 46)( 44, 59)( 47, 53)( 48, 70)( 49, 62)( 51, 57)( 52, 74)( 55, 61)( 56, 78)( 60, 65)( 63, 66)( 64, 79)
        ( 67, 73)( 68, 90)( 69, 82)( 71, 77)( 72, 94)( 75, 81)( 76, 98)( 80, 85)( 83, 86)( 84, 99)( 87, 93)( 88,110)
        ( 89,102)( 91, 97)( 92,114)( 95,101)( 96,118)(100,105)(103,106)(104,119)(107,113)(108,129)(109,122)(111,117)
        (112,133)(115,121)(116,137)(120,125)(123,126)(124,138)(127,132)(128,141)(130,136)(131,146)(134,140)(135,149)
        (139,144)(142,145)(143,150)(147,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 73)( 30, 49)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 61)( 38, 44)( 39, 92)( 42, 48)( 43, 96)( 46, 65)( 47,100)( 50, 56)( 51, 86)( 52, 80)( 54, 60)( 55,108)
        ( 58, 64)( 59,112)( 62, 84)( 63,116)( 66, 72)( 67,124)( 68,104)( 70, 75)( 71,128)( 74, 79)( 77, 83)( 78,129)
        ( 81, 90)( 82,132)( 85, 91)( 87,111)( 89, 95)( 93, 99)( 94,133)( 97,103)( 98,138)(101,107)(102,142)(105,120)
        (106,146)(109,115)(110,117)(113,119)(114,137)(118,136)(121,127)(122,144)(123,152)(125,131)(126,140)(130,135)
        (134,141)(139,145)(143,149)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 72)( 30, 49)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 61)( 38, 44)( 39, 92)( 42, 48)( 43, 96)( 46, 65)( 47,100)( 50, 56)( 51, 90)( 52, 80)( 54, 60)( 55, 86)
        ( 58, 64)( 59,108)( 62, 84)( 63,114)( 66, 71)( 67,119)( 68,104)( 70, 75)( 73, 79)( 74,120)( 77, 83)( 78,123)
        ( 81, 94)( 82,127)( 85, 91)( 87,111)( 89, 95)( 93, 99)( 97,103)( 98,128)(101,107)(102,131)(105,115)(106,135)
        (109,113)(110,112)(116,122)(117,149)(118,139)(121,126)(124,130)(125,150)(129,134)(132,138)(133,151)(136,142)
        (137,148)(140,146)(141,144)(143,145)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), 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, 67)( 24, 45)( 26, 32)( 27, 71)( 30, 49)( 31, 75)( 34, 40)( 35, 87)
        ( 36, 61)( 38, 44)( 39, 91)( 42, 48)( 43, 95)( 46, 64)( 47, 99)( 50, 56)( 51, 89)( 52, 79)( 54, 60)( 55, 85)
        ( 58, 63)( 59,108)( 62, 83)( 65, 70)( 66,103)( 68, 74)( 69,110)( 72, 78)( 73,113)( 76, 82)( 77,117)( 80, 93)
        ( 81,121)( 84, 90)( 86,107)( 88, 94)( 92, 98)( 96,102)( 97,122)(100,106)(101,125)(104,109)(105,129)(111,116)
        (112,133)(114,120)(115,138)(118,124)(119,141)(123,128)(126,132)(127,142)(130,136)(131,145)(134,137)(135,149)
        (139,144)(140,150)(143,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 68)( 24, 45)( 26, 32)( 27, 72)( 30, 49)( 31, 76)( 34, 40)( 35, 88)
        ( 36, 61)( 38, 44)( 39, 92)( 42, 48)( 43, 96)( 46, 64)( 47,100)( 50, 56)( 51, 90)( 52, 80)( 54, 60)( 55, 86)
        ( 58, 63)( 59,109)( 62, 84)( 65, 71)( 66,114)( 67,104)( 69, 75)( 70,118)( 73, 79)( 74,122)( 77, 83)( 78,125)
        ( 81, 94)( 82,129)( 85, 91)( 87,108)( 89, 95)( 93, 99)( 97,103)( 98,130)(101,107)(102,133)(105,110)(106,137)
        (111,117)(112,142)(113,141)(115,121)(116,146)(119,124)(120,149)(123,128)(126,132)(127,150)(131,136)(134,140)
        (135,151)(138,144)(139,148)(143,145)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 73)( 30, 49)( 31, 77)( 34, 40)( 35, 51)
        ( 36, 61)( 38, 44)( 39, 82)( 42, 48)( 43, 87)( 46, 65)( 47, 91)( 50, 56)( 52, 81)( 54, 60)( 55, 62)( 58, 64)
        ( 59, 86)( 63, 85)( 66, 72)( 67,103)( 68, 95)( 70, 76)( 71,106)( 74, 80)( 75,110)( 78, 84)( 79,114)( 83, 90)
        ( 88, 94)( 89,115)( 92, 98)( 93,118)( 96, 99)( 97,122)(100,105)(101,134)(102,126)(104,109)(107,113)(108,135)
        (111,117)(112,138)(116,121)(119,125)(120,139)(123,129)(124,142)(127,130)(128,146)(131,137)(132,144)(133,152)
        (136,141)(140,145)(143,149)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 53)
        ( 16, 29)( 18, 33)( 19, 57)( 22, 28)( 23, 69)( 24, 45)( 26, 32)( 27, 73)( 30, 49)( 31, 77)( 34, 40)( 35, 86)
        ( 36, 61)( 38, 44)( 39, 89)( 42, 48)( 43, 93)( 46, 65)( 47, 97)( 50, 56)( 51, 91)( 52, 81)( 54, 60)( 55, 88)
        ( 58, 64)( 59, 63)( 62, 85)( 66, 72)( 67,109)( 68,101)( 70, 76)( 71,113)( 74, 80)( 75,116)( 78, 84)( 79,120)
        ( 82, 95)( 83,124)( 87, 92)( 90, 96)( 94,100)( 98,104)( 99,125)(102,105)(103,128)(106,112)(107,138)(108,132)
        (110,115)(111,142)(114,119)(117,123)(118,143)(121,127)(122,146)(126,131)(129,135)(130,147)(133,136)(134,150)
        (137,141)(139,145)(140,151)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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, 51)
        ( 36, 58)( 38, 44)( 39, 78)( 42, 48)( 43, 81)( 46, 61)( 47, 85)( 50, 56)( 52, 77)( 54, 60)( 55, 59)( 62, 68)
        ( 63, 96)( 64, 89)( 66, 72)( 67,100)( 70, 76)( 71,104)( 74, 80)( 75,108)( 79, 84)( 82, 88)( 83,109)( 86, 92)
        ( 87,112)( 90, 93)( 91,116)( 94, 99)( 95,120)( 97,103)( 98,125)(101,107)(102,128)(105,111)(106,132)(110,115)
        (113,119)(114,133)(117,123)(118,136)(121,124)(122,140)(126,131)(127,144)(129,135)(130,148)(134,139)(137,143)
        (138,149)(141,146)(142,152)(145,147)(150,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), 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, 67)( 24, 45)( 26, 32)( 27, 71)( 30, 49)( 31, 75)( 34, 40)( 35, 59)
        ( 36, 62)( 38, 44)( 39, 55)( 42, 48)( 43, 51)( 46, 63)( 47, 80)( 50, 56)( 52, 79)( 54, 60)( 58, 61)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 81, 86)( 84, 87)( 85,104)( 88, 94)
        ( 89,114)( 90,107)( 92, 98)( 93,118)( 96,102)( 97,122)(100,106)(101,126)(105,110)(108,111)(109,127)(112,117)
        (113,130)(115,121)(116,135)(119,125)(120,138)(123,129)(124,142)(128,133)(131,134)(132,143)(136,141)(137,146)
        (139,145)(140,152)(144,149)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 39)(  8, 17)( 10, 21)( 11, 43)( 14, 20)( 15, 38)
        ( 16, 29)( 18, 36)( 19, 34)( 22, 28)( 23, 55)( 24, 47)( 26, 32)( 27, 59)( 30, 41)( 31, 63)( 33, 35)( 37, 42)
        ( 40, 46)( 44, 50)( 45, 64)( 48, 51)( 49, 67)( 52, 58)( 53, 79)( 54, 71)( 56, 62)( 57, 83)( 60, 66)( 61, 87)
        ( 65, 70)( 68, 74)( 69, 88)( 72, 75)( 73, 91)( 76, 82)( 77,103)( 78, 95)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 89, 94)( 92, 98)( 93,112)( 96, 99)( 97,115)(100,106)(101,127)(102,119)(104,110)(105,130)(108,114)(109,134)
        (113,118)(116,122)(117,135)(120,123)(121,138)(124,129)(125,149)(126,142)(128,133)(131,137)(132,150)(136,141)
        (139,145)(140,151)(143,147)(144,146)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 28)(  7, 16)(  9, 15)( 10, 40)( 11, 21)( 13, 19)( 14, 44)
        ( 17, 24)( 18, 48)( 22, 36)( 23, 32)( 25, 31)( 26, 64)( 27, 52)( 29, 35)( 30, 68)( 33, 56)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 57)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 55)( 50, 96)( 53, 60)( 54,100)( 58, 80)( 59, 76)
        ( 61, 67)( 62,116)( 63,104)( 65, 71)( 66,121)( 69, 75)( 70,118)( 73, 79)( 74,114)( 77,108)( 78,122)( 81, 87)
        ( 82,133)( 83,109)( 85, 91)( 86,137)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,103)( 98,149)(101,107)(102,128)
        (105,112)(106,124)(110,130)(111,126)(113,119)(115,125)(117,120)(123,129)(127,150)(131,136)(132,151)(134,140)
        (135,147)(138,144)(139,143)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 62,117)( 63,104)( 65, 71)( 66,114)( 69, 75)( 70,118)( 73, 79)( 74,119)( 77,108)( 78,122)( 81, 87)
        ( 82,134)( 83,109)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93, 99)( 94,146)( 97,103)( 98,149)(101,107)(102,128)
        (105,112)(106,124)(110,130)(111,126)(113,116)(115,121)(120,125)(123,129)(127,150)(131,137)(132,144)(133,151)
        (135,141)(136,140)(139,145)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,116)( 63,101)( 65, 71)( 66,120)( 69, 75)( 70,124)( 73, 79)( 74,128)( 77,104)( 78,111)( 81, 87)
        ( 82,136)( 83,105)( 85, 91)( 86,139)( 89, 95)( 90,143)( 93, 99)( 94,135)( 97,108)( 98,107)(102,112)(103,109)
        (106,132)(110,129)(113,119)(114,147)(115,130)(117,123)(118,148)(121,127)(122,152)(125,131)(126,150)(133,138)
        (134,144)(137,142)(140,146)(141,145)(149,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 16)(  6, 28)(  7, 13)(  9, 20)( 10, 40)( 11, 17)( 14, 24)( 15, 21)
        ( 18, 36)( 19, 32)( 22, 48)( 23, 44)( 25, 31)( 26, 64)( 27, 49)( 29, 35)( 30, 68)( 33, 52)( 34, 72)( 37, 43)
        ( 38, 84)( 39, 53)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 50, 60)( 51, 57)( 54, 80)( 55, 76)( 58,100)( 59, 96)
        ( 61, 67)( 62,116)( 63,101)( 65, 71)( 66,120)( 69, 75)( 70,124)( 73, 79)( 74,128)( 77,104)( 78,111)( 81, 87)
        ( 82,136)( 83,105)( 85, 91)( 86,140)( 89, 95)( 90,144)( 93, 99)( 94,135)( 97,108)( 98,107)(102,112)(103,109)
        (106,132)(110,129)(113,119)(114,147)(115,130)(117,123)(118,152)(121,127)(122,149)(125,131)(126,150)(133,139)
        (134,145)(137,143)(138,142)(141,146)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 23)( 10, 39)( 11, 21)( 13, 19)( 14, 47)
        ( 15, 24)( 17, 27)( 18, 51)( 22, 35)( 25, 43)( 26, 40)( 28, 34)( 29, 67)( 30, 55)( 32, 38)( 33, 71)( 36, 42)
        ( 37, 62)( 41, 59)( 44, 50)( 45, 75)( 46, 60)( 48, 54)( 49, 79)( 52, 58)( 53, 83)( 56, 63)( 57, 87)( 61, 72)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 73, 78)( 76, 82)( 77,104)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,129)( 98,123)(100,106)(101,133)(105,110)(108,114)(109,134)
        (112,118)(113,137)(116,122)(117,141)(120,126)(121,145)(124,127)(125,149)(128,132)(130,136)(131,150)(135,140)
        (138,144)(139,151)(142,148)(143,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 23)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 24)( 17, 27)( 18, 55)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 67)( 30, 56)( 32, 38)( 33, 68)( 36, 42)
        ( 37, 71)( 40, 46)( 41, 75)( 44, 59)( 45, 79)( 48, 54)( 49, 91)( 50, 60)( 52, 58)( 53, 95)( 57, 63)( 61, 87)
        ( 62, 83)( 64, 70)( 65,107)( 66, 96)( 69, 74)( 72, 78)( 73,108)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 99)
        ( 85,119)( 88, 94)( 89,131)( 90,100)( 92, 98)( 93,135)( 97,103)(101,127)(102,123)(104,110)(105,147)(106,136)
        (109,114)(112,118)(113,148)(116,122)(117,142)(120,126)(121,125)(124,139)(128,134)(129,145)(130,140)(132,138)
        (133,152)(137,143)(141,149)(144,150)(146,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 23)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 24)( 17, 27)( 18, 55)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 60)( 30, 59)( 32, 38)( 33, 68)( 36, 42)
        ( 37, 71)( 40, 46)( 41, 75)( 44, 63)( 45, 79)( 48, 54)( 49, 91)( 50, 64)( 52, 58)( 53, 95)( 56, 62)( 57, 99)
        ( 61, 67)( 65, 87)( 66, 83)( 69, 74)( 70,100)( 72, 78)( 73,108)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84,103)
        ( 85,119)( 88, 94)( 89,127)( 90,104)( 92, 98)( 93,131)( 96,102)( 97,135)(101,107)(105,123)(106,120)(109,114)
        (110,136)(112,118)(113,144)(116,122)(117,142)(121,139)(124,130)(125,147)(126,140)(128,134)(129,152)(132,138)
        (133,149)(137,143)(141,145)(146,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 31)(  7, 16)(  9, 23)( 10, 39)( 11, 21)( 13, 19)( 14, 51)
        ( 15, 24)( 17, 27)( 18, 55)( 22, 35)( 25, 47)( 26, 43)( 28, 34)( 29, 71)( 30, 59)( 32, 38)( 33, 75)( 36, 42)
        ( 37, 66)( 40, 46)( 41, 45)( 44, 63)( 48, 54)( 49, 79)( 50, 64)( 52, 58)( 53, 83)( 56, 62)( 57, 87)( 60, 67)
        ( 61, 91)( 65, 76)( 68, 74)( 69,103)( 70, 95)( 72, 78)( 73,107)( 77, 82)( 80, 86)( 81,108)( 84, 90)( 85,111)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 96, 99)( 97,123)(100,106)(101,133)(102,127)(104,110)(105,137)(109,114)
        (112,118)(113,138)(116,122)(117,141)(120,126)(121,145)(124,130)(125,146)(128,131)(129,149)(132,136)(134,140)
        (135,150)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 23)( 10, 37)( 11, 21)( 13, 19)( 14, 49)
        ( 15, 24)( 17, 27)( 18, 53)( 22, 33)( 25, 45)( 26, 41)( 28, 32)( 30, 36)( 31, 54)( 34, 40)( 35, 62)( 38, 44)
        ( 39, 65)( 42, 57)( 43, 69)( 46, 52)( 47, 81)( 48, 58)( 50, 56)( 51, 85)( 55, 61)( 59, 77)( 60, 73)( 63, 68)
        ( 64, 86)( 66, 72)( 67, 94)( 70, 76)( 71, 97)( 74, 89)( 75,101)( 78, 84)( 79,113)( 80, 90)( 82, 88)( 83,117)
        ( 87, 93)( 91,109)( 92,105)( 95,100)( 96,118)( 98,104)( 99,126)(102,108)(103,129)(106,121)(107,133)(110,116)
        (111,141)(112,122)(114,120)(115,145)(119,125)(123,137)(124,134)(127,132)(128,146)(130,136)(131,152)(135,149)
        (138,144)(139,143)(140,150)(142,148)(147,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)
        ( 45, 46, 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 23)( 10, 37)( 11, 21)( 13, 19)( 14, 49)
        ( 15, 24)( 17, 27)( 18, 53)( 22, 33)( 25, 45)( 26, 41)( 28, 32)( 30, 36)( 31, 54)( 34, 40)( 35, 62)( 38, 44)
        ( 39, 65)( 42, 57)( 43, 69)( 46, 52)( 47, 81)( 48, 58)( 50, 56)( 51, 85)( 55, 61)( 59, 77)( 60, 73)( 63, 68)
        ( 64, 86)( 66, 72)( 67, 94)( 70, 76)( 71, 97)( 74, 89)( 75,101)( 78, 84)( 79,113)( 80, 90)( 82, 88)( 83,117)
        ( 87, 93)( 91,109)( 92,105)( 95,100)( 96,118)( 98,104)( 99,126)(102,108)(103,129)(106,121)(107,133)(110,116)
        (111,142)(112,122)(114,120)(115,145)(119,125)(123,141)(124,137)(127,132)(128,146)(130,136)(131,152)(134,140)
        (135,139)(138,149)(143,148)(144,150)(147,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)
        ( 45, 46, 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 92)( 49, 55)( 50,104)( 51, 69)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 72)( 62,116)( 66, 80)( 67, 76)( 70,100)( 71, 96)( 74, 79)( 75,120)( 77,124)( 78,133)( 81, 87)
        ( 82, 94)( 83,125)( 85, 91)( 86, 90)( 89, 95)( 93, 99)( 97,128)( 98,126)(101,107)(102,140)(103,129)(105,111)
        (106,143)(109,115)(110,147)(113,119)(114,152)(117,123)(118,149)(121,132)(122,145)(127,136)(130,139)(131,137)
        (134,138)(135,142)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 29)(  7, 16)(  9, 24)( 10, 40)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 36)( 23, 32)( 26, 48)( 27, 44)( 30, 35)( 31, 60)( 33, 64)( 34, 73)( 37, 43)
        ( 38, 84)( 39, 65)( 41, 47)( 42, 88)( 45, 68)( 46, 92)( 49, 55)( 50,103)( 51, 69)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 72)( 62,115)( 66, 80)( 67, 76)( 70, 99)( 71, 96)( 74, 79)( 75,119)( 77,123)( 78,132)( 81, 87)
        ( 82, 86)( 83,124)( 85, 91)( 89, 95)( 90,125)( 93, 98)( 94,136)( 97,127)(100,106)(101,143)(102,128)(104,110)
        (105,147)(108,114)(109,152)(112,118)(113,149)(116,122)(117,145)(120,131)(121,141)(126,135)(129,139)(130,137)
        (133,138)(134,142)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 72)( 66,120)( 70, 92)( 71, 88)( 73, 79)( 74,125)( 75,124)( 77, 83)( 78,126)
        ( 81, 87)( 82,122)( 85, 91)( 86,118)( 89,128)( 90,114)( 93, 99)( 94,136)( 95,129)( 97,103)( 98,140)(101,107)
        (102,144)(105,111)(106,135)(109,115)(110,131)(113,119)(117,123)(121,127)(130,132)(133,139)(134,145)(137,143)
        (138,148)(141,147)(142,152)(146,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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, 95)( 43, 65)( 45, 51)( 46, 99)( 49, 68)( 50,103)( 53, 59)( 54,115)( 55, 69)
        ( 58, 63)( 61, 72)( 62,116)( 66, 91)( 67, 88)( 70,111)( 71,107)( 73, 79)( 74,133)( 75,119)( 77, 83)( 78,137)
        ( 81, 87)( 82,141)( 85, 90)( 86,142)( 89,123)( 92, 98)( 93,130)( 94,124)( 96,102)( 97,109)(100,106)(101,105)
        (104,110)(108,127)(112,118)(113,149)(114,128)(117,122)(120,131)(121,150)(125,145)(126,143)(129,146)(132,136)
        (134,140)(135,151)(138,144)(139,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 81)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,104)( 53, 59)( 54,112)( 55, 73)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 76)( 66,124)( 70, 92)( 71, 88)( 74,108)( 75, 90)( 77, 83)( 78,110)
        ( 79,128)( 82, 87)( 85, 91)( 86,111)( 89,105)( 93, 99)( 94,132)( 95,106)( 97,103)( 98,138)(101,107)(102,135)
        (109,115)(113,119)(114,129)(117,123)(118,139)(121,127)(122,143)(125,131)(126,147)(130,142)(133,137)(134,136)
        (140,146)(141,148)(144,150)(145,152)(149,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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)( 54,116)( 55, 73)
        ( 57, 63)( 58,120)( 61, 67)( 62,124)( 65, 76)( 66,128)( 70, 92)( 71, 88)( 74,112)( 75,108)( 77, 83)( 78,114)
        ( 79,132)( 81, 87)( 82,142)( 86, 91)( 89,136)( 90,143)( 93, 99)( 94,147)( 95,137)( 97,103)( 98,152)(101,107)
        (102,149)(105,111)(106,146)(109,140)(110,139)(113,119)(115,141)(117,123)(118,133)(121,127)(122,134)(125,131)
        (126,130)(129,135)(138,144)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42,100)( 43, 69)( 45, 51)( 46,104)( 49, 72)( 50,108)( 53, 59)( 54,120)( 55, 73)
        ( 57, 63)( 58,124)( 61, 67)( 62,125)( 65, 76)( 66,128)( 70, 96)( 71, 92)( 74,116)( 75,112)( 77, 83)( 78,142)
        ( 79,133)( 81, 87)( 82,145)( 85, 91)( 86,149)( 89, 95)( 90,150)( 93,134)( 94,140)( 97,103)( 98,110)( 99,135)
        (101,107)(102,106)(105,111)(109,115)(113,137)(114,136)(117,123)(118,147)(119,138)(121,127)(122,144)(126,131)
        (129,132)(130,141)(139,151)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 78)( 31, 64)( 33, 39)( 34, 82)
        ( 37, 68)( 38, 86)( 41, 47)( 42, 98)( 43, 69)( 45, 51)( 46,101)( 49, 72)( 50,105)( 53, 59)( 54,114)( 55, 73)
        ( 57, 63)( 58,117)( 61, 67)( 62,121)( 65, 76)( 66,125)( 70, 94)( 71, 90)( 74,113)( 75,109)( 77, 81)( 79, 85)
        ( 80,126)( 83, 89)( 84,138)( 87, 93)( 88,141)( 91,129)( 92,136)( 95,100)( 96,149)( 97,130)( 99,104)(102,108)
        (103,150)(106,112)(107,148)(110,133)(111,132)(115,120)(116,134)(118,124)(119,143)(122,128)(123,140)(127,137)
        (131,145)(135,142)(139,144)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42,100)( 43, 69)( 45, 51)( 46,104)( 49, 72)( 50,108)( 53, 59)( 54,119)( 55, 73)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 76)( 66,132)( 70, 96)( 71, 92)( 74,115)( 75,111)( 77, 83)( 78,141)
        ( 79,129)( 81, 87)( 82,145)( 85, 91)( 86,149)( 89, 95)( 90,150)( 93,133)( 94,140)( 97,103)( 98,102)( 99,134)
        (101,107)(105,110)(106,135)(109,114)(112,137)(113,136)(116,122)(117,147)(118,138)(120,126)(121,143)(124,130)
        (125,144)(128,131)(139,151)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 80)( 31, 64)( 33, 39)( 34, 84)
        ( 37, 68)( 38, 88)( 41, 47)( 42,100)( 43, 69)( 45, 51)( 46,104)( 49, 72)( 50,108)( 53, 59)( 54,120)( 55, 73)
        ( 57, 63)( 58,124)( 61, 67)( 62,128)( 65, 77)( 66, 76)( 70, 96)( 71, 92)( 74,116)( 75,112)( 78, 83)( 79,129)
        ( 81, 87)( 82,130)( 85, 91)( 86,126)( 89, 95)( 90,122)( 93,132)( 94,118)( 97,103)( 98,140)( 99,133)(101,107)
        (102,144)(105,111)(106,147)(109,115)(110,139)(113,119)(114,135)(117,123)(121,127)(125,131)(134,136)(137,143)
        (138,148)(141,146)(142,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), 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, 69)( 38, 68)( 41, 47)( 42, 88)( 43, 70)( 45, 51)( 46, 92)( 49, 72)( 50, 96)( 53, 59)( 54,108)( 55, 73)
        ( 57, 63)( 58,112)( 61, 67)( 62,113)( 65, 76)( 66,116)( 71, 85)( 74,104)( 75,100)( 77, 83)( 78,131)( 79,119)
        ( 81, 87)( 82,135)( 86, 91)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,103)( 98,143)(101,123)(102,148)(105,111)
        (106,130)(107,124)(109,115)(110,121)(114,118)(117,122)(120,127)(125,149)(126,145)(128,134)(129,150)(132,138)
        (133,151)(137,142)(140,146)(141,152)(144,147),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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, 69)( 38, 68)( 41, 47)( 42, 88)( 43, 70)( 45, 51)( 46, 92)( 49, 72)( 50, 96)( 53, 59)( 54,108)( 55, 73)
        ( 57, 63)( 58,112)( 61, 67)( 62,115)( 65, 76)( 66,116)( 71, 85)( 74,104)( 75,100)( 77, 83)( 78,131)( 79,119)
        ( 81, 87)( 82,135)( 86, 91)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,103)( 98,143)(101,123)(102,148)(105,111)
        (106,130)(107,124)(109,114)(110,121)(113,118)(117,122)(120,127)(125,149)(126,145)(128,134)(129,150)(132,138)
        (133,151)(137,142)(140,146)(141,152)(144,147),
      nbP := 152,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 20)( 11, 44)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 40)( 21, 27)( 22, 60)( 23, 48)( 25, 31)( 26, 64)( 29, 52)( 30, 68)( 33, 39)( 34, 80)( 35, 53)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 59)( 45, 51)( 46, 50)( 49, 56)( 54, 76)( 55, 72)( 57, 63)( 58, 85)( 61, 67)
        ( 62, 92)( 65, 71)( 66, 96)( 69, 75)( 70,100)( 73, 88)( 74,104)( 77, 83)( 78,115)( 79, 89)( 81, 87)( 82,119)
        ( 86, 95)( 90,112)( 91,108)( 93, 99)( 94,120)( 97,103)( 98,127)(101,107)(102,131)(105,111)(106,135)(109,123)
        (110,139)(113,118)(114,124)(116,122)(117,144)(121,130)(125,143)(126,140)(128,134)(129,145)(132,138)(133,149)
        (136,142)(137,152)(141,147)(146,148)(150,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 47)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 67)( 24, 51)( 26, 32)( 27, 71)( 30, 55)( 31, 75)( 34, 39)( 35, 83)
        ( 36, 56)( 38, 43)( 41, 59)( 42, 84)( 45, 50)( 46, 60)( 48, 54)( 49, 92)( 52, 63)( 53, 95)( 57, 79)( 58, 76)
        ( 61, 91)( 62, 87)( 64, 70)( 65,115)( 66, 99)( 68, 74)( 69,119)( 72, 78)( 73,123)( 77,103)( 80, 86)( 81,131)
        ( 82,104)( 85, 90)( 88,107)( 89,132)( 93, 98)( 94,108)( 96,102)( 97,140)(100,111)(101,143)(105,127)(106,124)
        (109,139)(110,135)(112,118)(113,129)(114,137)(116,122)(117,149)(120,126)(121,152)(125,147)(128,134)(130,148)
        (133,138)(136,144)(141,146)(142,145)(150,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 99)( 47, 61)( 49, 55)( 50,103)( 53, 64)( 54,107)( 58, 84)
        ( 59, 80)( 62, 96)( 63, 92)( 65, 71)( 66,127)( 67,111)( 69, 75)( 70,131)( 73, 79)( 74,135)( 77, 83)( 78,136)
        ( 81,115)( 82,139)( 85, 91)( 86,125)( 87,116)( 90, 95)( 93,119)( 94,126)( 97,102)( 98,120)(100,106)(101,148)
        (104,110)(105,152)(108,114)(109,150)(112,123)(113,122)(117,129)(118,143)(121,147)(124,130)(128,134)(132,138)
        (133,144)(137,142)(140,146)(141,145)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 88)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 89)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,104)( 53, 64)( 54,107)( 58, 84)
        ( 59, 80)( 62, 96)( 63, 92)( 65, 71)( 66,127)( 67,111)( 69, 75)( 70,131)( 73, 79)( 74,135)( 77, 83)( 78,139)
        ( 81,115)( 82,143)( 85, 91)( 86,125)( 87,116)( 90, 95)( 93,119)( 94,126)( 97,103)( 98,152)( 99,120)(101,106)
        (102,149)(105,110)(108,114)(109,150)(112,123)(113,122)(117,129)(118,144)(121,147)(124,130)(128,134)(132,138)
        (133,145)(136,142)(137,141)(140,146)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 69)( 24, 53)( 26, 32)( 27, 73)( 30, 57)( 31, 77)( 34, 40)( 35, 89)
        ( 36, 58)( 38, 44)( 39, 93)( 42, 61)( 43, 97)( 46, 52)( 47,108)( 48, 62)( 50, 56)( 51,111)( 54, 65)( 55,115)
        ( 59, 85)( 60, 81)( 63,104)( 64,100)( 66, 72)( 67,131)( 68,119)( 70, 76)( 71,135)( 74, 80)( 75,139)( 78, 84)
        ( 79,144)( 82, 88)( 83,141)( 86, 92)( 87,137)( 90, 96)( 91,133)( 94, 99)( 95,129)( 98,103)(101,123)(102,130)
        (105,110)(106,149)(107,124)(109,114)(112,118)(113,150)(116,122)(117,148)(120,127)(121,126)(125,145)(128,134)
        (132,138)(136,142)(140,143)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), 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)( 78,108)( 79,100)( 81, 87)( 82,112)( 86, 91)
        ( 89, 95)( 90,113)( 93, 99)( 94,116)( 97,103)( 98,120)(101,104)(102,124)(105,111)(106,135)(107,128)(109,115)
        (110,139)(114,119)(117,123)(118,140)(121,127)(122,143)(125,131)(126,147)(129,132)(130,152)(133,138)(134,149)
        (136,142)(137,145)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 28)( 18, 32)( 19, 60)( 23, 40)( 26, 31)( 27, 48)( 29, 52)( 30, 69)( 33, 39)( 34, 81)( 35, 64)
        ( 37, 43)( 38, 78)( 41, 47)( 42, 82)( 45, 51)( 46, 86)( 49, 68)( 50, 90)( 53, 59)( 54,102)( 55, 72)( 57, 63)
        ( 58,105)( 61, 67)( 62,109)( 65, 76)( 66,113)( 70, 75)( 71, 94)( 73, 98)( 74,118)( 77, 80)( 79, 85)( 83, 89)
        ( 84,114)( 87, 93)( 88,125)( 91, 97)( 92,129)( 95,117)( 96,133)( 99,104)(100,142)(101,121)(103,108)(106,112)
        (107,143)(110,116)(111,145)(115,128)(119,124)(120,137)(122,141)(123,150)(126,132)(127,146)(130,136)(131,152)
        (134,140)(135,139)(138,149)(144,148)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 55)( 16, 29)( 18, 32)( 19, 59)( 23, 40)( 25, 31)( 26, 54)( 27, 47)( 30, 51)( 33, 39)( 34, 75)( 35, 63)
        ( 37, 43)( 38, 79)( 41, 46)( 42, 83)( 45, 50)( 48, 67)( 49, 84)( 52, 58)( 53, 68)( 56, 62)( 57, 91)( 60, 66)
        ( 61, 95)( 64, 71)( 65, 99)( 69, 94)( 70, 87)( 72, 78)( 73,115)( 74,103)( 76, 82)( 77,119)( 80, 86)( 81,123)
        ( 85, 90)( 88,107)( 89,124)( 92, 98)( 93,108)( 96,102)( 97,131)(100,106)(101,135)(104,111)(105,139)(109,134)
        (110,127)(112,118)(113,147)(114,143)(116,122)(117,152)(120,126)(121,149)(125,130)(128,144)(129,150)(132,138)
        (133,145)(136,142)(137,141)(140,146)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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)( 66,115)( 69, 75)( 70,127)( 71, 99)( 74,103)( 77, 83)( 78,135)( 79,119)
        ( 81, 87)( 82,139)( 85, 90)( 86,143)( 89, 94)( 92, 98)( 93,144)( 96,102)( 97,147)(100,123)(101,152)(104,110)
        (105,133)(106,128)(109,114)(112,118)(113,134)(116,122)(117,121)(120,131)(124,130)(125,141)(126,149)(129,137)
        (132,138)(136,142)(140,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 95)( 48, 54)( 49, 99)( 52, 63)( 53,103)( 56, 62)( 57,115)
        ( 58, 79)( 61, 83)( 64, 70)( 65,123)( 66,107)( 68, 74)( 69,127)( 72, 78)( 73,128)( 76, 82)( 77,131)( 80,111)
        ( 81,132)( 84, 90)( 85,144)( 86,116)( 88, 94)( 89,141)( 92, 98)( 93,145)( 96,102)( 97,149)(100,106)(101,122)
        (104,110)(105,109)(108,119)(112,118)(113,147)(114,135)(117,139)(120,126)(121,150)(124,130)(125,137)(129,134)
        (133,138)(136,151)(140,143)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), 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, 95)( 48, 54)( 49, 99)( 52, 63)( 53,104)( 56, 62)( 57, 86)
        ( 58, 79)( 61, 83)( 64, 70)( 65,109)( 66,101)( 68, 74)( 69,113)( 72, 78)( 73,117)( 76, 82)( 77,121)( 80,105)
        ( 81,125)( 84, 90)( 85,106)( 88, 94)( 89,129)( 92, 98)( 93,133)( 96,102)( 97,112)(100,103)(107,132)(108,126)
        (110,116)(111,134)(114,120)(115,141)(118,124)(119,145)(122,128)(123,149)(127,137)(130,136)(131,138)(135,144)
        (139,143)(140,150)(142,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 72)( 27, 48)( 29, 35)( 30, 75)( 33, 52)( 34, 76)
        ( 38, 43)( 39, 64)( 41, 47)( 42, 84)( 45, 51)( 46, 87)( 49, 68)( 50, 91)( 53, 59)( 54,103)( 55, 79)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 83)( 66,115)( 69, 74)( 70, 81)( 71, 95)( 73, 78)( 77, 82)( 80, 99)( 85, 90)
        ( 86,119)( 88, 94)( 89,124)( 92, 98)( 93,127)( 96,102)( 97,131)(100,106)(101,135)(104,110)(105,139)(108,114)
        (109,143)(112,118)(113,147)(116,122)(117,152)(120,123)(121,149)(125,130)(126,145)(128,134)(129,141)(132,138)
        (133,137)(136,142)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 57)( 16, 32)( 18, 36)( 19, 60)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,103)( 53, 68)( 54,107)( 58, 63)
        ( 59, 84)( 61, 67)( 62,116)( 65, 88)( 66,119)( 69, 75)( 70,131)( 71,111)( 73, 79)( 74,135)( 77, 83)( 78,139)
        ( 81, 87)( 82,143)( 85,115)( 86,144)( 89, 95)( 90,137)( 91,123)( 93, 99)( 94,133)( 97,102)( 98,129)(101,106)
        (104,110)(105,130)(108,114)(109,113)(112,127)(117,122)(118,147)(120,126)(121,152)(124,141)(125,149)(128,134)
        (132,138)(136,142)(140,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 66, 88)( 69, 75)( 70,118)( 71,111)( 73, 79)( 74, 86)( 77, 83)( 78, 82)
        ( 81, 87)( 85,115)( 89, 95)( 90,132)( 91,124)( 93, 98)( 94,135)( 97,102)(100,106)(101,136)(104,110)(105,139)
        (108,114)(109,143)(112,127)(113,148)(116,122)(117,128)(120,126)(121,149)(125,131)(129,152)(130,145)(133,138)
        (134,150)(137,142)(140,146)(141,151)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 68)( 54,109)( 57, 63)
        ( 58,114)( 59, 84)( 61, 67)( 62,118)( 66, 88)( 69, 75)( 70,122)( 71,106)( 73, 79)( 74,126)( 77, 83)( 78,130)
        ( 81, 87)( 82,133)( 85,110)( 86,137)( 89, 95)( 90,112)( 91,119)( 93, 99)( 94,142)( 97,103)( 98,145)(101,107)
        (102,125)(105,108)(111,117)(113,141)(115,121)(116,120)(123,129)(124,146)(127,132)(128,149)(131,136)(134,140)
        (135,150)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 76)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 68)( 54,109)( 57, 63)
        ( 58,114)( 59, 84)( 61, 67)( 62,118)( 66, 88)( 69, 75)( 70,122)( 71,106)( 73, 79)( 74,126)( 77, 83)( 78,130)
        ( 81, 87)( 82,134)( 85,110)( 86,137)( 89, 95)( 90,112)( 91,119)( 93, 99)( 94,142)( 97,103)( 98,145)(101,107)
        (102,125)(105,108)(111,117)(113,141)(115,121)(116,120)(123,129)(124,146)(127,133)(128,149)(131,136)(132,150)
        (135,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 43)( 25, 31)( 26, 75)( 27, 51)( 29, 35)( 30, 79)( 33, 55)( 34, 83)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 92)( 44, 50)( 45, 95)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,115)
        ( 58, 87)( 60, 66)( 61,120)( 64, 70)( 65,117)( 68, 91)( 69,113)( 72, 78)( 73,129)( 74,107)( 76, 82)( 77,133)
        ( 80, 86)( 81,137)( 84, 90)( 85,138)( 88,111)( 89,141)( 93, 98)( 94,121)( 96,102)( 97,146)(100,106)(101,128)
        (104,110)(105,109)(108,125)(112,118)(114,124)(116,119)(122,145)(123,142)(126,132)(127,147)(130,136)(131,150)
        (134,140)(135,151)(139,144)(143,152)(148,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 51)( 46, 96)( 49, 55)( 50, 99)( 53, 72)( 54,103)( 57, 63)
        ( 58,115)( 59, 83)( 61, 67)( 62,119)( 65, 71)( 66,123)( 69, 87)( 70,128)( 73, 79)( 74, 85)( 75,107)( 78, 82)
        ( 81, 86)( 84,111)( 88, 94)( 89,129)( 90,125)( 92, 98)( 93,133)( 97,102)(100,106)(101,134)(104,110)(105,137)
        (108,114)(109,141)(112,118)(113,145)(116,122)(117,149)(120,126)(121,132)(124,127)(130,136)(131,150)(135,140)
        (138,144)(139,151)(142,148)(143,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,128)( 69, 88)( 70,125)( 73, 79)( 74,133)( 75,111)( 77, 83)
        ( 78,137)( 82, 87)( 85,115)( 86,138)( 89, 94)( 90,145)( 91,121)( 93, 98)( 96,102)( 97,146)(100,106)(101,149)
        (104,110)(105,132)(108,114)(109,113)(112,129)(116,122)(117,148)(118,141)(120,126)(124,127)(130,136)(131,150)
        (134,140)(135,143)(139,144)(142,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,120)( 59, 84)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 88)( 70,126)( 73, 79)( 74,134)( 75,112)( 77, 83)
        ( 78,138)( 82, 87)( 85,116)( 86,139)( 89, 95)( 90,118)( 91,122)( 93, 99)( 94,143)( 97,103)( 98,146)(101,107)
        (102,150)(105,111)(106,133)(109,115)(110,114)(113,130)(117,123)(119,142)(121,127)(125,128)(131,137)(132,151)
        (135,141)(136,148)(140,145)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58,119)( 59, 87)( 61, 67)( 62,124)( 65, 71)( 66,121)( 69, 91)( 70,117)( 73, 79)( 74,133)( 75,111)( 77, 82)
        ( 78,137)( 81, 86)( 84, 90)( 85,138)( 88,115)( 89,141)( 92, 98)( 93,149)( 94,125)( 97,102)(100,106)(101,150)
        (104,110)(105,132)(108,114)(109,113)(112,129)(116,122)(118,128)(120,123)(126,145)(127,142)(130,136)(131,151)
        (134,140)(135,147)(139,144)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 43)( 25, 31)( 26, 75)( 27, 51)( 29, 35)( 30, 79)( 33, 55)( 34, 83)
        ( 37, 42)( 38, 67)( 40, 46)( 41, 92)( 44, 50)( 45, 95)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57, 69)
        ( 58, 87)( 60, 66)( 61, 65)( 64, 70)( 68, 91)( 72, 78)( 73,113)( 74,107)( 76, 82)( 77,117)( 80, 86)( 81,121)
        ( 84, 90)( 85,125)( 88, 94)( 89,129)( 93, 98)( 96,102)( 97,130)(100,106)(101,133)(104,110)(105,137)(108,111)
        (109,141)(112,116)(114,120)(115,142)(118,124)(119,146)(122,128)(123,149)(126,132)(127,150)(131,136)(134,140)
        (135,151)(138,144)(139,148)(143,145)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 24)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 32)( 18, 36)( 19, 62)( 23, 42)( 25, 31)( 26, 70)( 27, 50)( 29, 35)( 30, 74)( 33, 54)( 34, 78)
        ( 37, 41)( 39, 45)( 40, 63)( 43, 49)( 44, 87)( 47, 53)( 48, 90)( 51, 66)( 52, 94)( 55, 61)( 56, 92)( 57, 82)
        ( 59, 65)( 60, 89)( 64, 86)( 67, 73)( 68,106)( 69, 98)( 71, 77)( 72,110)( 75, 81)( 76,114)( 79, 85)( 80,118)
        ( 83, 96)( 84,122)( 88, 93)( 91, 97)( 95,101)( 99,102)(100,123)(103,109)(104,134)(105,126)(107,113)(108,135)
        (111,117)(112,138)(115,121)(116,142)(119,125)(120,145)(124,129)(127,130)(128,146)(131,137)(132,150)(133,149)
        (136,141)(139,144)(140,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 54)( 16, 32)( 18, 36)( 19, 58)( 23, 44)( 25, 31)( 26, 66)( 27, 46)( 29, 35)( 30, 70)( 33, 50)( 34, 74)
        ( 37, 43)( 38, 86)( 39, 62)( 41, 47)( 42, 69)( 45, 48)( 51, 57)( 52, 94)( 53, 78)( 55, 61)( 56, 98)( 59, 65)
        ( 60,102)( 63, 82)( 64,105)( 67, 73)( 68, 87)( 71, 77)( 72,113)( 75, 81)( 76,117)( 79, 90)( 80,121)( 83, 89)
        ( 84,133)( 85,109)( 88,116)( 91, 97)( 92,132)( 93,125)( 95,101)( 96,111)( 99,104)(100,107)(103,108)(106,112)
        (110,129)(114,120)(115,134)(118,124)(119,141)(122,128)(123,145)(126,137)(127,149)(130,136)(131,138)(135,144)
        (139,143)(140,150)(142,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 54,108)( 57, 63)
        ( 58,111)( 61, 76)( 62,115)( 66, 96)( 67, 92)( 70, 75)( 71, 97)( 73,100)( 74,128)( 77, 83)( 78,139)( 79,119)
        ( 81, 87)( 82,144)( 85, 91)( 86,141)( 89, 95)( 90,137)( 93,123)( 94,145)( 98,127)( 99,124)(101,107)(102,117)
        (103,131)(105,110)(106,113)(109,114)(112,118)(116,122)(120,135)(121,132)(125,150)(126,149)(129,134)(130,151)
        (133,147)(136,142)(138,148)(140,143)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 29)( 17, 32)( 18, 56)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 45)( 30, 48)( 33, 39)( 34, 77)( 35, 60)
        ( 37, 43)( 38, 80)( 41, 64)( 42, 83)( 46, 68)( 47, 65)( 49, 55)( 50, 99)( 51, 73)( 53, 59)( 54,103)( 57, 63)
        ( 58,107)( 61, 76)( 62,111)( 66, 91)( 67, 87)( 69, 75)( 70,127)( 71, 92)( 74, 95)( 78, 82)( 79,115)( 81, 86)
        ( 84, 90)( 85,116)( 88,119)( 89,131)( 93,123)( 94,120)( 96,102)( 97,143)( 98,128)(100,106)(101,148)(104,110)
        (105,145)(108,114)(109,141)(112,118)(113,149)(117,134)(121,136)(122,135)(124,130)(125,151)(126,137)(129,139)
        (132,138)(133,150)(140,146)(142,152)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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, 72)( 27, 49)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 87)( 39, 60)( 41, 47)( 42, 91)( 45, 64)( 46, 95)( 50, 68)( 51, 65)( 53, 59)( 54,111)( 55, 80)
        ( 58, 63)( 61, 83)( 62,112)( 66,103)( 67, 99)( 69, 74)( 70,127)( 71,104)( 73, 78)( 76, 82)( 77,128)( 81,107)
        ( 84, 90)( 85,135)( 86,115)( 88, 94)( 89,140)( 92, 98)( 93,137)( 96,102)( 97,133)(100,119)(101,141)(105,123)
        (106,120)(108,114)(109,149)(110,129)(113,118)(116,131)(117,150)(121,146)(122,145)(124,130)(125,152)(126,147)
        (132,138)(134,144)(136,139)(142,148)(143,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 71)( 27, 49)( 29, 35)( 30, 75)( 33, 52)( 34, 79)
        ( 37, 43)( 38, 87)( 39, 61)( 41, 47)( 42, 91)( 45, 63)( 46, 95)( 50, 67)( 51, 64)( 53, 59)( 54,111)( 55, 83)
        ( 57, 62)( 58, 90)( 65,103)( 66, 99)( 68, 74)( 69,121)( 70,104)( 72, 78)( 73,125)( 76, 82)( 77,129)( 80, 86)
        ( 81,133)( 84,107)( 85,137)( 88, 94)( 89,112)( 92, 98)( 93,145)( 96,102)( 97,149)(100,115)(101,120)(105,117)
        (106,116)(108,114)(109,147)(110,141)(113,148)(118,124)(119,150)(122,128)(123,143)(126,132)(127,139)(130,136)
        (131,135)(134,140)(138,144)(142,151)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 50, 72)( 51, 69)( 53, 59)( 54,119)( 55, 88)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 92)( 66,128)( 70,111)( 71,108)( 73, 79)( 74,113)( 75,112)( 77, 83)
        ( 78,137)( 81, 87)( 82,139)( 85, 91)( 86,143)( 89,115)( 90,147)( 93, 99)( 94,117)( 95,131)( 97,103)( 98,149)
        (101,107)(102,145)(105,110)(106,141)(109,135)(114,136)(116,122)(118,148)(120,126)(121,132)(124,130)(125,152)
        (129,134)(133,151)(138,142)(140,146)(144,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 84)
        ( 37, 43)( 38, 93)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,112)( 55, 88)
        ( 57, 63)( 58,117)( 61, 67)( 62,114)( 65, 92)( 66,110)( 70,105)( 71,104)( 73, 79)( 74,122)( 75,106)( 77, 83)
        ( 78,126)( 81, 87)( 82,130)( 85, 91)( 86,134)( 89,108)( 90,138)( 94, 99)( 95,118)( 97,103)( 98,143)(101,107)
        (102,125)(109,115)(111,121)(113,116)(119,142)(120,139)(123,129)(124,144)(127,133)(128,147)(131,137)(132,150)
        (135,141)(136,151)(140,149)(145,146)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 50, 72)( 51, 69)( 53, 59)( 54, 66)( 55, 88)
        ( 57, 63)( 58, 62)( 61, 67)( 65, 92)( 70,112)( 71,108)( 73, 79)( 74,122)( 75,113)( 77, 83)( 78,126)( 81, 87)
        ( 82,127)( 85, 91)( 86,130)( 89, 95)( 90,134)( 93, 99)( 94,137)( 97,103)( 98,141)(101,107)(102,142)(105,111)
        (106,145)(109,116)(110,121)(114,118)(115,117)(119,125)(120,146)(123,129)(124,149)(128,133)(131,136)(132,150)
        (135,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 80)( 33, 52)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 50, 72)( 51, 69)( 53, 59)( 54, 66)( 55, 88)
        ( 57, 63)( 58, 62)( 61, 67)( 65, 92)( 70,112)( 71,108)( 73, 79)( 74,122)( 75,113)( 77, 83)( 78,126)( 81, 87)
        ( 82,129)( 85, 91)( 86,133)( 89, 95)( 90,134)( 93, 99)( 94,137)( 97,103)( 98,141)(101,107)(102,142)(105,111)
        (106,145)(109,116)(110,121)(114,118)(115,117)(119,125)(120,146)(123,128)(124,149)(127,132)(130,136)(131,150)
        (135,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 70)( 27, 49)( 29, 35)( 30, 74)( 33, 52)( 34, 78)
        ( 37, 43)( 38, 85)( 39, 58)( 41, 47)( 42, 89)( 45, 62)( 46, 93)( 50, 66)( 51, 63)( 53, 59)( 54, 88)( 55, 82)
        ( 57, 60)( 64,101)( 65, 97)( 67, 73)( 68,117)( 69,102)( 71, 77)( 72,118)( 75, 81)( 76,121)( 79, 84)( 80,125)
        ( 83,105)( 86, 92)( 87,106)( 90, 96)( 91,129)( 94,100)( 95,133)( 98,109)( 99,137)(103,113)(104,110)(107,132)
        (108,126)(111,142)(112,141)(114,120)(115,149)(116,143)(119,124)(122,128)(123,150)(127,145)(130,136)(131,146)
        (134,140)(135,147)(138,144)(139,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 68)( 33, 39)( 34, 79)( 35, 61)
        ( 37, 43)( 38, 83)( 41, 64)( 42, 87)( 45, 51)( 46, 95)( 47, 65)( 49, 55)( 50, 99)( 53, 67)( 54,103)( 57, 63)
        ( 58,112)( 59, 71)( 62, 75)( 66, 91)( 69, 74)( 70,107)( 72,111)( 73,116)( 76, 82)( 77,123)( 78,113)( 80, 86)
        ( 81,127)( 84, 90)( 85,131)( 88, 94)( 89,135)( 92, 98)( 93,139)( 96,102)( 97,143)(100,106)(101,147)(104,110)
        (105,152)(108,115)(109,149)(114,119)(117,122)(118,145)(120,126)(121,141)(124,130)(125,137)(128,134)(129,133)
        (132,138)(136,142)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 32)( 19, 64)( 23, 44)( 24, 40)( 27, 31)( 28, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 68)
        ( 37, 43)( 38, 84)( 41, 72)( 42, 88)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 67)( 62,115)( 65, 71)( 66,119)( 69, 76)( 70,120)( 74, 96)( 75, 92)( 77, 83)( 78, 90)( 79,123)
        ( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,127)( 94,124)( 97,102)( 98,139)( 99,128)(101,106)(104,110)(105,140)
        (108,114)(109,143)(112,118)(113,147)(116,122)(117,133)(121,126)(125,134)(129,135)(130,131)(132,148)(136,142)
        (137,152)(138,149)(141,146)(144,150)(145,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 85)
        ( 36, 66)( 38, 44)( 39, 89)( 42, 69)( 43, 93)( 46, 52)( 47,105)( 48, 70)( 50, 56)( 51,109)( 54, 73)( 55,113)
        ( 58, 64)( 59,124)( 60, 77)( 62, 68)( 63,128)( 67, 81)( 71,101)( 72, 97)( 75, 80)( 76,117)( 78,121)( 79,136)
        ( 82, 88)( 83,148)( 84,129)( 86, 92)( 87,145)( 90, 96)( 91,149)( 94,100)( 95,141)( 98,132)( 99,138)(102,108)
        (103,115)(104,133)(106,112)(107,111)(110,116)(114,120)(118,135)(119,134)(122,127)(123,139)(125,131)(126,151)
        (130,143)(137,142)(140,150)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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, 92)( 42, 73)( 43, 96)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 64)( 59,124)( 60, 80)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 84)( 71,136)( 75,100)( 78, 83)( 79,116)
        ( 81,120)( 82,138)( 85, 91)( 86,145)( 87,133)( 89, 95)( 90,149)( 93, 99)( 94,150)( 97,103)( 98,143)(101,107)
        (102,140)(105,111)(106,118)(109,115)(110,114)(113,119)(117,137)(121,126)(122,147)(123,141)(125,130)(128,134)
        (129,148)(132,135)(139,144)(142,151)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 85)
        ( 36, 68)( 38, 44)( 39, 88)( 42, 72)( 43, 92)( 46, 51)( 47, 73)( 49, 55)( 50,101)( 53, 76)( 54,104)( 57, 63)
        ( 58,116)( 59, 80)( 61, 67)( 62,120)( 65, 71)( 66,124)( 69, 84)( 70,128)( 74,100)( 75, 96)( 78, 83)( 79,108)
        ( 81,112)( 82,141)( 86, 91)( 87,132)( 89, 95)( 90,149)( 93, 99)( 94,146)( 97,136)( 98,143)(102,107)(103,137)
        (105,111)(106,152)(109,140)(110,139)(113,119)(114,134)(115,144)(117,123)(118,130)(121,127)(122,126)(125,131)
        (129,135)(133,148)(138,151)(142,147)(145,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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)
        ( 58,116)( 59, 80)( 61, 67)( 62,121)( 65, 71)( 66,118)( 69, 84)( 70,114)( 74,100)( 75, 96)( 78, 83)( 79,108)
        ( 81,112)( 82,131)( 85, 91)( 86,138)( 87,122)( 90, 95)( 93, 99)( 94,139)( 97,126)( 98,136)(102,107)(103,127)
        (105,111)(106,146)(109,130)(110,149)(113,119)(115,125)(117,120)(123,134)(124,132)(128,145)(129,141)(133,143)
        (135,140)(137,144)(142,150)(147,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,115)
        ( 58, 63)( 59, 80)( 61, 67)( 62,124)( 65, 71)( 66,127)( 69, 84)( 70,128)( 74,104)( 75,100)( 78, 83)( 79,119)
        ( 81,123)( 82,140)( 85, 91)( 86, 90)( 87,131)( 89, 95)( 93, 99)( 94,132)( 97,103)( 98,145)(101,135)(102,142)
        (105,111)(106,152)(107,136)(109,114)(110,149)(113,118)(116,122)(117,150)(120,139)(121,138)(125,130)(126,143)
        (129,134)(133,144)(137,147)(141,146)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 86)
        ( 36, 68)( 38, 44)( 39, 90)( 42, 72)( 43, 94)( 46, 52)( 47,105)( 48, 73)( 50, 56)( 51,109)( 54, 76)( 55,113)
        ( 58, 63)( 59,125)( 60, 80)( 62, 67)( 65, 71)( 66,126)( 69, 84)( 70,129)( 74,101)( 75, 98)( 78, 83)( 79,117)
        ( 81,121)( 82,138)( 85, 89)( 87, 93)( 88,130)( 91, 97)( 92,146)( 95,100)( 96,149)( 99,133)(102,108)(103,140)
        (104,134)(106,112)(107,119)(110,116)(111,115)(114,120)(118,137)(122,128)(123,148)(124,141)(127,132)(131,145)
        (135,143)(136,150)(139,144)(142,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 78)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,123)( 60, 81)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 85)( 71,135)( 75,104)( 76,100)( 79, 84)
        ( 80,102)( 82,119)( 83, 98)( 86, 91)( 87,121)( 88,139)( 90, 95)( 93, 99)( 94,122)( 97,103)(101,116)(105,110)
        (106,144)(107,117)(109,114)(112,118)(113,143)(120,126)(124,130)(125,140)(128,134)(129,145)(132,138)(133,149)
        (136,142)(137,150)(141,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), 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)( 47,109)( 48, 74)( 50, 56)( 51,113)( 54, 77)( 55,117)
        ( 58, 64)( 59,124)( 60, 81)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 85)( 71,136)( 75,105)( 76,101)( 79, 84)
        ( 80,103)( 82,121)( 83, 99)( 86, 92)( 87,130)( 88,140)( 90, 96)( 91,126)( 94,100)( 95,123)( 98,104)(102,118)
        (106,112)(107,146)(108,119)(110,116)(111,152)(114,120)(115,149)(122,127)(125,131)(129,135)(133,139)(134,141)
        (137,143)(138,145)(142,144)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)(144,145)
        (146,147,148,149)(150,151,152) ), 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, 87)
        ( 36, 69)( 38, 44)( 39, 91)( 42, 73)( 43, 95)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,125)( 60, 81)( 62, 68)( 63,129)( 66, 72)( 67,130)( 70, 85)( 71,133)( 75,103)( 76, 99)( 79, 84)
        ( 80,118)( 82,122)( 83,142)( 86, 90)( 88, 94)( 89,134)( 92, 98)( 93,150)( 96,102)( 97,147)(100,137)(101,144)
        (104,110)(105,109)(106,138)(108,114)(112,117)(113,139)(116,121)(119,141)(120,140)(123,128)(124,145)(126,132)
        (127,152)(131,136)(135,149)(143,148)(146,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 86)
        ( 36, 69)( 38, 44)( 39, 89)( 42, 73)( 43, 93)( 46, 52)( 47,105)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,124)( 60, 81)( 62, 68)( 63,128)( 66, 72)( 67,133)( 70, 85)( 71,130)( 75,101)( 76, 97)( 79, 84)
        ( 80,116)( 82,120)( 83,139)( 87, 92)( 88,126)( 90, 96)( 91,122)( 94,100)( 95,143)( 98,134)( 99,141)(102,107)
        (103,149)(104,135)(106,111)(109,115)(110,150)(113,119)(114,148)(117,138)(118,137)(121,127)(123,142)(125,131)
        (129,132)(136,145)(140,144)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,115)
        ( 58, 63)( 59, 80)( 61, 67)( 62,124)( 65, 71)( 66,127)( 69, 85)( 70, 84)( 74,104)( 75,100)( 78, 83)( 79,119)
        ( 81,123)( 82,136)( 86, 91)( 87,128)( 89, 95)( 90,144)( 93, 99)( 94,145)( 97,103)( 98,141)(101,131)(102,138)
        (105,110)(106,132)(108,114)(109,148)(112,118)(113,152)(116,122)(117,150)(120,135)(121,134)(125,130)(126,139)
        (129,143)(133,147)(137,142)(140,146)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 35)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 58)( 16, 29)( 18, 33)( 19, 62)( 23, 43)( 24, 39)( 27, 32)( 28, 50)( 30, 54)( 31, 71)( 34, 38)( 36, 42)
        ( 37, 63)( 40, 66)( 41, 79)( 44, 49)( 45, 90)( 46, 67)( 48, 53)( 51, 70)( 52, 91)( 55, 61)( 56,102)( 57, 74)
        ( 59, 65)( 60,106)( 64, 78)( 68, 86)( 69, 82)( 72, 77)( 73, 94)( 75, 98)( 76,115)( 80, 85)( 81,107)( 83,110)
        ( 84,122)( 87, 93)( 88,133)( 89,111)( 92, 97)( 95,114)( 96,134)( 99,105)(100,145)(101,118)(103,109)(104,146)
        (108,121)(112,129)(113,125)(116,120)(117,137)(119,141)(123,128)(124,147)(126,149)(127,143)(130,136)(131,151)
        (132,150)(135,140)(138,144)(139,152)(142,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)( 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 30)( 18, 32)( 19, 60)( 23, 44)( 24, 40)( 26, 31)( 27, 59)( 28, 52)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 68)( 42, 88)( 45, 51)( 46,100)( 47, 69)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58, 73)( 61, 67)( 62,116)( 65, 76)( 66,120)( 70, 96)( 71, 92)( 74,119)( 75,112)( 77, 83)( 78,125)( 79,124)
        ( 81, 87)( 82,137)( 85, 91)( 86,138)( 89, 95)( 90,140)( 93,128)( 94,135)( 97,103)( 98,147)( 99,129)(101,107)
        (102,152)(105,111)(106,149)(109,115)(110,146)(113,132)(114,131)(117,123)(118,133)(121,127)(122,142)(126,136)
        (130,144)(134,141)(139,143)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), 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, 92)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51,100)( 54, 60)( 55,107)( 56, 78)
        ( 58, 64)( 59,111)( 62, 68)( 63,115)( 66, 80)( 67,119)( 71, 88)( 72, 84)( 74, 79)( 75,110)( 76,104)( 82, 87)
        ( 83,123)( 85,127)( 86,136)( 89, 95)( 90, 94)( 91,128)( 93, 99)( 97,103)( 98,129)(101,106)(102,140)(105,131)
        (108,114)(109,132)(112,118)(113,143)(116,122)(117,147)(120,126)(121,152)(124,135)(125,149)(130,139)(133,146)
        (134,141)(137,142)(138,145)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 32)( 19, 64)( 23, 44)( 24, 40)( 26, 31)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 68)
        ( 37, 43)( 38, 84)( 41, 72)( 42, 88)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,103)( 53, 59)( 54,107)( 57, 63)
        ( 58,111)( 61, 67)( 62,115)( 65, 71)( 66,119)( 69, 76)( 70,120)( 74, 96)( 75, 92)( 77, 83)( 78, 90)( 79,123)
        ( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,127)( 94,124)( 97,102)( 98,139)( 99,128)(101,106)(104,110)(105,140)
        (108,114)(109,143)(112,118)(113,147)(116,122)(117,133)(121,126)(125,134)(129,135)(130,131)(132,148)(136,142)
        (137,152)(138,149)(141,146)(144,150)(145,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 44)( 24, 41)( 26, 32)( 27, 76)( 28, 52)( 31, 56)( 34, 40)( 35, 84)
        ( 36, 64)( 38, 43)( 39, 88)( 42, 68)( 45, 51)( 46, 95)( 47, 69)( 49, 55)( 50, 99)( 53, 72)( 54,103)( 57, 63)
        ( 58,115)( 59, 77)( 62, 67)( 65, 80)( 66,116)( 70, 91)( 71, 89)( 73, 79)( 74,127)( 75,107)( 78,111)( 81, 87)
        ( 82,135)( 83,119)( 85, 90)( 86, 94)( 92, 98)( 93,136)( 96,102)( 97,139)(100,106)(101,126)(104,110)(105,109)
        (108,123)(112,118)(113,147)(114,128)(117,122)(120,131)(121,148)(124,130)(125,140)(129,143)(132,138)(133,145)
        (134,152)(137,142)(141,146)(144,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 76)( 28, 53)( 31, 57)( 34, 40)( 35, 84)
        ( 36, 66)( 38, 44)( 39, 88)( 42, 69)( 43, 92)( 46, 52)( 47,100)( 48, 70)( 50, 56)( 51,104)( 54, 72)( 55,108)
        ( 58, 64)( 59,120)( 60, 77)( 62, 68)( 63,124)( 67, 80)( 71, 96)( 73, 79)( 74,132)( 75,112)( 78,116)( 81, 87)
        ( 82,138)( 83,125)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93, 99)( 94,150)( 97,103)( 98,131)(101,107)(102,114)
        (105,111)(106,110)(109,115)(113,128)(117,123)(118,144)(119,133)(121,127)(122,140)(126,136)(129,135)(130,151)
        (134,148)(137,141)(139,145)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 51)( 47,108)( 48, 73)( 50, 55)( 53, 76)( 54,109)( 57, 63)
        ( 58,120)( 59, 81)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 84)( 70,126)( 74,104)( 75,100)( 77, 83)( 78,138)
        ( 79,112)( 82,116)( 85, 91)( 86,142)( 87,122)( 89, 95)( 90,143)( 93, 99)( 94,146)( 97,103)( 98,150)(101,130)
        (102,137)(105,111)(106,132)(107,131)(110,115)(113,134)(114,133)(117,123)(118,145)(119,139)(121,127)(125,128)
        (135,141)(136,151)(140,148)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 51)( 47,108)( 48, 73)( 50, 55)( 53, 76)( 54,109)( 57, 63)
        ( 58,120)( 59, 81)( 61, 67)( 62,124)( 65, 71)( 66,129)( 69, 84)( 70,126)( 74,104)( 75,100)( 77, 83)( 78,138)
        ( 79,112)( 82,116)( 85, 91)( 86,142)( 87,122)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,103)( 98,150)(101,130)
        (102,137)(105,111)(106,132)(107,131)(110,115)(113,134)(114,133)(117,123)(118,144)(119,139)(121,127)(125,128)
        (135,141)(136,151)(140,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 56)( 34, 40)( 35, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 95)( 46, 52)( 47,105)( 48, 73)( 50, 55)( 51,109)( 54, 76)( 57, 63)
        ( 58,117)( 59, 81)( 61, 67)( 62,121)( 65, 71)( 66,125)( 69, 84)( 70,129)( 74,103)( 75, 99)( 77, 83)( 78,141)
        ( 79,110)( 82,113)( 85, 91)( 86,146)( 87,133)( 89, 94)( 90,149)( 93, 98)( 96,102)( 97,150)(100,107)(101,140)
        (104,108)(106,112)(111,137)(114,120)(115,135)(116,142)(118,124)(119,131)(122,128)(123,127)(126,132)(130,136)
        (134,145)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 31, 57)( 34, 40)( 35, 86)
        ( 36, 68)( 38, 44)( 39, 90)( 42, 72)( 43, 94)( 46, 52)( 47,105)( 48, 73)( 50, 56)( 51,109)( 54, 76)( 55,113)
        ( 58, 63)( 59,125)( 60, 81)( 62, 67)( 65, 71)( 66,126)( 69, 84)( 70,129)( 74,101)( 75, 98)( 77, 83)( 78,141)
        ( 79,117)( 82,121)( 85, 89)( 87, 93)( 88,130)( 91, 97)( 92,146)( 95,100)( 96,149)( 99,133)(102,108)(103,140)
        (104,134)(106,112)(107,119)(110,116)(111,115)(114,120)(118,137)(122,128)(123,148)(124,142)(127,132)(131,145)
        (135,139)(136,150)(138,144)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 97)( 46, 52)( 47,109)( 48, 74)( 50, 56)( 51,113)( 54, 77)( 55,117)
        ( 58, 64)( 59,125)( 60, 82)( 62, 68)( 63,129)( 66, 72)( 67,133)( 70, 85)( 71,137)( 75,105)( 76,101)( 78, 84)
        ( 79,145)( 80,103)( 83,121)( 86, 92)( 87,131)( 88,141)( 90, 96)( 91,127)( 94,100)( 95,123)( 98,104)( 99,147)
        (102,118)(106,112)(107,148)(108,119)(110,116)(111,152)(114,120)(115,150)(122,128)(124,146)(126,132)(130,136)
        (134,140)(135,142)(138,144)(139,143)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,123)( 60, 82)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 85)( 71,135)( 75,104)( 76,100)( 78, 84)
        ( 79,143)( 80,102)( 83,119)( 86, 92)( 87,121)( 88,139)( 90, 95)( 91,145)( 94, 99)( 97,103)( 98,146)(101,116)
        (105,110)(106,117)(108,114)(109,113)(112,118)(120,126)(122,144)(124,130)(125,140)(128,134)(129,147)(132,138)
        (133,148)(136,142)(137,152)(141,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59,123)( 60, 82)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 85)( 71,135)( 75,104)( 76,100)( 78, 84)
        ( 79,143)( 80,102)( 83,119)( 86, 92)( 87,121)( 88,139)( 90, 95)( 91,145)( 94, 99)( 97,103)( 98,146)(101,116)
        (105,111)(106,110)(107,117)(109,114)(113,118)(120,126)(122,144)(124,130)(125,140)(128,134)(129,147)(132,138)
        (133,152)(136,142)(137,149)(141,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 89)
        ( 36, 69)( 38, 44)( 39, 93)( 42, 73)( 43, 96)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,109)
        ( 58, 64)( 59,117)( 60, 82)( 62, 68)( 63,118)( 66, 72)( 67,121)( 70, 85)( 71,125)( 75,103)( 76,100)( 78, 84)
        ( 79,137)( 80,105)( 83,113)( 86, 92)( 87,145)( 88,129)( 90, 95)( 91,149)( 94, 99)( 97,102)( 98,150)(101,133)
        (104,110)(106,134)(108,111)(114,120)(115,143)(116,138)(119,124)(122,128)(123,144)(126,132)(127,131)(130,141)
        (135,140)(136,151)(139,147)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 39)
        ( 36, 69)( 38, 44)( 42, 73)( 43, 70)( 46, 52)( 47, 92)( 48, 74)( 50, 56)( 51, 96)( 54, 77)( 55,100)( 58, 64)
        ( 59,112)( 60, 82)( 62, 68)( 63,115)( 66, 72)( 67,119)( 71, 88)( 75, 89)( 76, 85)( 78, 84)( 79,129)( 80,104)
        ( 83,108)( 86,123)( 87,120)( 90, 95)( 91,124)( 93, 99)( 94,138)( 97,103)( 98,139)(101,107)(102,141)(105,127)
        (106,145)(109,114)(110,149)(111,130)(113,118)(116,122)(117,150)(121,136)(125,137)(126,133)(128,132)(131,146)
        (134,143)(135,151)(140,144)(142,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 38)(  8, 17)( 10, 24)( 11, 42)( 12, 21)( 14, 19)
        ( 15, 40)( 16, 32)( 18, 36)( 22, 33)( 23, 39)( 25, 31)( 26, 54)( 27, 46)( 29, 35)( 30, 58)( 34, 45)( 37, 41)
        ( 43, 49)( 44, 59)( 47, 50)( 48, 62)( 51, 57)( 52, 74)( 53, 66)( 55, 61)( 56, 78)( 60, 65)( 63, 69)( 64, 79)
        ( 67, 70)( 68, 82)( 71, 77)( 72, 94)( 73, 86)( 75, 81)( 76, 98)( 80, 85)( 83, 89)( 84, 99)( 87, 90)( 88,102)
        ( 91, 97)( 92,114)( 93,106)( 95,101)( 96,118)(100,105)(103,109)(104,119)(107,110)(108,122)(111,117)(112,133)
        (113,126)(115,121)(116,137)(120,125)(123,129)(124,138)(127,130)(128,141)(131,136)(132,145)(134,140)(135,151)
        (139,144)(142,148)(143,152)(146,150)(147,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,120)( 62, 67)( 63, 85)( 65, 88)( 66,129)( 70,108)( 71,104)( 73, 79)( 74,141)( 75,124)( 77, 83)
        ( 78,145)( 81, 87)( 82,149)( 86,128)( 89, 95)( 90,151)( 91,133)( 93, 99)( 94,147)( 97,103)( 98,143)(101,107)
        (102,139)(105,134)(106,140)(109,115)(110,122)(111,135)(113,119)(114,118)(117,123)(121,127)(125,137)(126,136)
        (130,132)(131,150)(138,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,101)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,120)( 62, 67)( 63, 88)( 65, 92)( 66,125)( 70,108)( 71,104)( 73, 79)( 74, 98)( 75,106)( 77, 83)
        ( 78, 94)( 81, 87)( 82,129)( 85, 91)( 86,132)( 89,124)( 90,136)( 93, 99)( 95,128)( 97,103)(102,107)(105,121)
        (109,115)(110,144)(111,122)(113,119)(114,150)(117,123)(118,147)(126,131)(127,140)(130,135)(133,139)(134,141)
        (137,143)(138,152)(142,151)(145,149)(146,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 61)( 41, 47)( 42, 88)( 45, 64)( 46, 92)( 49, 55)( 50,105)( 51, 65)( 53, 59)( 54,102)( 57, 68)
        ( 58,106)( 62, 91)( 63, 84)( 66,100)( 67, 96)( 69, 75)( 70,121)( 71,110)( 73, 79)( 74,125)( 77, 83)( 78,129)
        ( 81, 87)( 82,133)( 85,113)( 86,137)( 89, 95)( 90,114)( 93, 99)( 94,145)( 97,108)( 98,120)(101,104)(103,109)
        (107,112)(111,117)(115,148)(116,141)(118,124)(119,146)(122,128)(123,151)(126,132)(127,152)(130,136)(131,143)
        (134,140)(135,139)(138,144)(142,149)(147,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105)(106,107,108,109)(110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 98)( 67, 90)( 69, 75)( 70,102)( 73, 79)( 74,106)( 78, 85)( 83, 89)( 84,107)( 87, 93)
        ( 88,110)( 91, 94)( 92,114)( 95,101)( 96,125)( 97,118)( 99,105)(100,129)(103,109)(104,133)(108,113)(111,117)
        (112,134)(115,121)(116,137)(119,122)(120,141)(123,128)(124,142)(126,132)(127,146)(130,136)(131,149)(135,140)
        (138,144)(139,150)(143,145)(147,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 99)( 47, 65)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,115)( 59, 83)( 62, 87)( 66, 95)( 67, 91)( 69, 74)( 70,108)( 72, 78)( 73,120)( 76, 82)( 77,123)( 80, 86)
        ( 81,127)( 84,111)( 85,131)( 89, 94)( 90,116)( 92,113)( 93,136)( 96,102)( 97,132)( 98,114)(100,106)(101,137)
        (104,110)(105,141)(109,119)(112,118)(117,135)(121,126)(122,142)(124,130)(125,146)(128,134)(129,149)(133,140)
        (138,144)(139,150)(143,145)(147,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 74)( 27, 56)( 29, 35)( 30, 78)( 33, 60)( 34, 82)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 94)( 45, 68)( 46, 98)( 49, 55)( 50,110)( 51, 69)( 53, 59)( 54,114)
        ( 57, 72)( 58,118)( 61, 67)( 62,126)( 63, 86)( 66, 90)( 70,106)( 71,102)( 73, 77)( 75, 81)( 76,119)( 79, 85)
        ( 80,135)( 83, 89)( 84,138)( 87,122)( 88,141)( 92, 97)( 93,127)( 95,101)( 96,133)( 99,105)(100,104)(103,130)
        (107,113)(108,124)(109,131)(111,117)(112,146)(115,121)(116,149)(120,134)(123,129)(125,145)(128,132)(136,140)
        (137,150)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 93)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,101)( 49, 55)( 50,106)( 51, 69)( 53, 59)( 54,110)
        ( 57, 72)( 58,114)( 61, 67)( 62,104)( 63, 88)( 66, 92)( 70,102)( 71, 98)( 73, 79)( 74,126)( 75,118)( 77, 83)
        ( 78,130)( 81, 87)( 82,134)( 85, 91)( 86,138)( 89,108)( 90,142)( 94, 99)( 95,105)( 97,100)(103,109)(107,113)
        (111,117)(112,143)(115,121)(116,146)(119,122)(120,147)(123,129)(124,136)(125,150)(127,133)(128,132)(131,137)
        (135,141)(139,145)(140,151)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 65)( 41, 47)( 42,101)( 45, 68)( 46, 98)( 49, 55)( 50,102)( 51, 69)( 53, 59)( 54,106)
        ( 57, 72)( 58,110)( 61, 67)( 62, 95)( 63, 88)( 66, 92)( 70, 89)( 71, 94)( 73, 79)( 74,122)( 75,114)( 77, 83)
        ( 78,126)( 81, 87)( 82,130)( 85, 91)( 86,134)( 90,105)( 93, 99)( 97,100)(103,109)(104,135)(107,113)(108,138)
        (111,117)(112,142)(115,118)(116,143)(119,125)(120,124)(121,146)(123,129)(127,133)(128,147)(131,137)(132,150)
        (136,141)(139,145)(140,151)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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, 97)( 39, 65)( 41, 47)( 42, 94)( 45, 68)( 46, 98)( 49, 55)( 50,102)( 51, 69)( 53, 59)( 54,106)
        ( 57, 72)( 58,110)( 61, 67)( 62,100)( 63, 88)( 66, 92)( 70, 89)( 71, 99)( 73, 79)( 74,122)( 75,114)( 77, 83)
        ( 78,126)( 81, 87)( 82,129)( 85, 91)( 86,133)( 90,105)( 93, 96)( 95,101)(103,109)(104,134)(107,113)(108,137)
        (111,117)(112,141)(115,118)(116,142)(119,125)(120,146)(121,145)(123,128)(124,150)(127,132)(130,136)(131,151)
        (135,140)(138,144)(139,152)(143,148)(147,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 57)( 27, 56)( 29, 35)( 30, 73)( 33, 60)( 34, 76)
        ( 37, 43)( 38, 88)( 39, 65)( 41, 47)( 42, 91)( 45, 68)( 46, 95)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 58, 72)( 61, 67)( 62,119)( 63, 80)( 66, 84)( 70,103)( 71, 99)( 74, 79)( 75,112)( 77, 83)( 78,128)( 81,115)
        ( 82,131)( 85, 90)( 86,143)( 87,120)( 89, 94)( 92, 98)( 93,144)( 96,102)( 97,145)(100,123)(101,141)(104,110)
        (105,136)(106,124)(108,114)(109,147)(113,127)(116,122)(117,125)(118,135)(121,139)(126,142)(129,134)(130,148)
        (132,138)(133,152)(137,150)(140,146)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 67)( 27, 55)( 29, 35)( 30, 71)( 33, 49)( 34, 75)
        ( 37, 43)( 38, 42)( 39, 60)( 41, 46)( 45, 61)( 48, 54)( 50, 62)( 52, 58)( 53, 76)( 56, 63)( 57, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,136)(114,131)(116,122)(117,139)(120,126)(121,143)(125,130)(128,134)(129,144)(132,135)(133,147)(137,142)
        (138,152)(140,146)(141,149)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 92)( 51, 69)( 53, 59)( 54, 96)( 57, 72)
        ( 58,100)( 61, 67)( 62, 71)( 63, 88)( 70, 89)( 73, 79)( 74,112)( 75,104)( 77, 83)( 78,116)( 81, 87)( 82,120)
        ( 85, 91)( 86,124)( 90, 95)( 93, 99)( 94,125)( 97,103)( 98,128)(101,107)(102,132)(105,108)(106,136)(109,115)
        (110,145)(111,137)(113,119)(114,142)(117,123)(118,146)(121,127)(122,150)(126,131)(129,135)(130,151)(133,139)
        (134,148)(138,140)(141,144)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 42)( 39, 65)( 41, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 72)
        ( 58,103)( 61, 67)( 62, 71)( 63, 87)( 70, 91)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)( 81, 86)( 82,123)
        ( 85, 90)( 88, 94)( 89,124)( 92, 98)( 93,127)( 96,102)( 97,131)(100,106)(101,132)(104,110)(105,135)(108,111)
        (109,139)(112,118)(113,148)(114,140)(116,122)(117,145)(120,126)(121,149)(125,130)(128,134)(129,150)(133,138)
        (136,142)(137,151)(141,143)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 64)( 59,124)( 60, 92)( 62, 68)( 63,129)( 66, 72)( 67,126)( 70, 96)( 71,122)( 75,100)( 77, 83)( 78,138)
        ( 79,116)( 81, 87)( 82,142)( 85, 91)( 86,143)( 89, 95)( 90,146)( 93,120)( 94,149)( 98,103)( 99,130)(101,107)
        (102,137)(105,111)(106,118)(109,115)(110,114)(113,119)(117,134)(121,127)(123,133)(125,128)(131,136)(132,150)
        (135,141)(139,145)(140,151)(144,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 76)( 55,112)
        ( 58, 64)( 59,124)( 60, 92)( 62, 68)( 63,129)( 66, 72)( 67,126)( 70, 96)( 71,122)( 75,100)( 77, 83)( 78,138)
        ( 79,116)( 81, 87)( 82,142)( 85, 91)( 86,145)( 89, 95)( 90,146)( 93,120)( 94,149)( 98,103)( 99,130)(101,107)
        (102,137)(105,111)(106,118)(109,115)(110,114)(113,119)(117,134)(121,127)(123,133)(125,128)(131,136)(132,150)
        (135,141)(139,144)(140,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 79)( 28, 53)( 30, 36)( 31, 83)( 34, 57)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 72)( 43, 96)( 46, 52)( 47,107)( 48, 73)( 50, 56)( 51,111)( 54, 76)( 55,115)
        ( 58, 64)( 59,105)( 60, 91)( 62, 67)( 63,123)( 66, 71)( 69, 95)( 70,124)( 74,103)( 75, 99)( 77, 82)( 78,119)
        ( 80, 86)( 81,128)( 84, 90)( 85,131)( 88, 94)( 89,135)( 92,109)( 93,139)( 97,102)( 98,101)(100,125)(104,110)
        (106,126)(108,114)(112,118)(113,140)(116,122)(117,143)(120,127)(121,144)(129,134)(130,147)(132,138)(133,152)
        (136,142)(137,149)(141,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 39, 44)( 40, 69)( 42, 73)( 43, 98)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,113)( 54, 77)( 55,110)
        ( 58, 64)( 59,118)( 60, 93)( 62, 68)( 63,122)( 66, 72)( 67,126)( 70, 97)( 71,130)( 75,104)( 76,101)( 78, 84)
        ( 79,142)( 80,106)( 82, 88)( 83,146)( 86, 92)( 87,150)( 90, 96)( 91,151)( 94,114)( 95,148)( 99,103)(100,134)
        (102,138)(105,111)(107,139)(109,112)(115,121)(116,136)(117,144)(119,125)(120,132)(123,129)(124,128)(127,133)
        (131,137)(135,141)(140,145)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 39, 44)( 40, 69)( 42, 73)( 43, 98)( 46, 52)( 47, 94)( 48, 74)( 50, 56)( 51,101)( 54, 77)( 55,105)
        ( 58, 64)( 59, 75)( 60, 93)( 62, 68)( 63,100)( 66, 72)( 67, 71)( 70, 97)( 76, 99)( 78, 84)( 79,117)( 80,109)
        ( 82, 88)( 83,120)( 86, 92)( 87,124)( 90, 96)( 91,128)( 95,104)(102,108)(103,129)(106,112)(107,132)(110,113)
        (111,136)(114,119)(115,145)(116,139)(118,123)(121,127)(122,146)(125,131)(126,149)(130,135)(133,138)(134,150)
        (137,142)(140,143)(141,151)(144,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)(143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 53)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 39, 44)( 40, 69)( 42, 73)( 43, 97)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59, 71)( 60, 92)( 62, 68)( 63, 67)( 66, 72)( 70, 96)( 75,103)( 76,100)( 78, 83)( 79,119)( 81, 87)
        ( 82,128)( 85, 91)( 86,131)( 89, 95)( 90,135)( 93, 99)( 94,126)( 98,102)(101,123)(104,110)(105,139)(106,124)
        (108,114)(109,143)(112,118)(113,147)(116,122)(117,152)(120,127)(121,149)(125,136)(129,134)(130,145)(132,138)
        (133,141)(137,142)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 42)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 38, 43)( 39, 47)( 40, 68)( 45, 51)( 46, 94)( 49, 55)( 50, 96)( 53, 72)( 54,100)( 57, 63)( 58,106)
        ( 59, 88)( 61, 67)( 62,102)( 65, 71)( 66, 98)( 69, 93)( 70, 92)( 73, 79)( 74,112)( 75,104)( 77, 83)( 78,116)
        ( 81, 87)( 82,120)( 85, 91)( 86,124)( 89,108)( 90,128)( 95, 99)( 97,103)(101,107)(105,109)(110,115)(111,132)
        (113,119)(114,137)(117,123)(118,140)(121,127)(122,143)(125,131)(126,147)(129,135)(130,152)(133,136)(134,149)
        (138,142)(139,145)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 72)( 46, 52)( 47, 59)( 48, 73)( 50, 56)( 51, 93)( 54, 76)( 55,102)
        ( 58, 64)( 60, 92)( 62, 68)( 63, 74)( 66, 71)( 67,100)( 70, 96)( 75, 99)( 77, 83)( 78,114)( 79,106)( 81, 87)
        ( 82,117)( 85, 91)( 86,121)( 89, 95)( 90,125)( 94,105)( 97,101)(103,109)(104,126)(107,110)(108,129)(111,116)
        (112,141)(113,133)(115,120)(118,124)(119,142)(122,128)(123,145)(127,132)(130,136)(131,146)(134,137)(135,149)
        (138,144)(139,151)(140,150)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 43, 73)( 46, 52)( 47,109)( 48, 74)( 50, 56)( 51,113)( 54, 77)( 55,117)
        ( 58, 64)( 59, 99)( 60, 93)( 62, 68)( 63,124)( 66, 72)( 67,128)( 70, 97)( 71,132)( 75,105)( 76,102)( 78, 84)
        ( 79,138)( 80,121)( 82, 88)( 83,142)( 86, 92)( 87,146)( 90, 96)( 91,150)( 94,103)( 95,108)( 98,104)(100,127)
        (106,112)(107,151)(110,116)(111,148)(114,120)(115,144)(118,123)(119,140)(122,136)(125,131)(126,133)(129,135)
        (130,134)(137,141)(139,145)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 43, 73)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,126)( 60, 93)( 62, 68)( 63,130)( 66, 72)( 67,134)( 70, 96)( 71,138)( 75,104)( 76,101)( 78, 84)
        ( 79,118)( 80,121)( 82, 88)( 83,114)( 86, 92)( 87,110)( 90, 95)( 91,106)( 94,122)( 97,103)( 98,128)( 99,142)
        (102,124)(105,111)(107,125)(109,115)(113,119)(117,120)(123,129)(127,133)(131,137)(132,143)(135,141)(136,146)
        (139,145)(140,152)(144,149)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,122)( 60, 91)( 62, 68)( 63,126)( 66, 72)( 67,130)( 70, 95)( 71,134)( 75,103)( 76,100)( 78, 82)
        ( 80, 86)( 81,116)( 84, 90)( 85,113)( 88, 94)( 89,109)( 92,118)( 93,105)( 96,102)( 97,120)( 98,138)(101,142)
        (104,110)(106,143)(108,114)(112,117)(119,125)(121,144)(123,129)(124,139)(127,133)(128,145)(131,137)(132,149)
        (135,141)(136,150)(140,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 93)( 48, 74)( 50, 56)( 51, 97)( 54, 77)( 55,101)
        ( 58, 64)( 60, 76)( 62, 68)( 63, 70)( 66, 72)( 67, 71)( 75, 90)( 78, 84)( 79,113)( 80,105)( 82, 88)( 83,117)
        ( 86, 92)( 87,121)( 91, 96)( 94,100)( 95,122)( 98,104)( 99,125)(102,108)(103,129)(106,109)(107,133)(110,116)
        (111,142)(112,137)(114,120)(115,146)(118,124)(119,150)(123,128)(126,132)(127,151)(130,136)(131,148)(134,139)
        (135,144)(138,140)(141,145)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 52)( 47,104)( 50, 56)( 51,108)( 54, 60)( 55,112)
        ( 58, 73)( 59,116)( 62, 68)( 63, 95)( 64, 88)( 67, 72)( 70, 93)( 71, 92)( 74, 80)( 75,127)( 76,119)( 78, 83)
        ( 79,131)( 82, 87)( 85, 91)( 86,132)( 89, 98)( 90,135)( 94, 99)( 97,103)(101,107)(102,136)(105,111)(106,139)
        (109,115)(110,143)(113,118)(114,147)(117,122)(120,123)(121,148)(124,130)(125,145)(126,152)(128,134)(129,141)
        (133,138)(137,142)(140,146)(144,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 72)( 42, 47)( 45, 51)( 46,101)( 49, 55)( 50,104)( 53, 59)( 54,108)( 57, 76)
        ( 58,111)( 61, 67)( 62,119)( 63, 92)( 65, 71)( 66,124)( 69, 75)( 70,121)( 73, 96)( 74,117)( 77, 83)( 78,133)
        ( 79,112)( 81, 87)( 82,137)( 85, 91)( 86,141)( 89, 95)( 90,145)( 93,115)( 94,149)( 97,103)( 98,131)( 99,125)
        (102,107)(105,110)(106,132)(109,114)(113,129)(116,122)(118,128)(120,123)(126,135)(127,150)(130,136)(134,140)
        (138,144)(139,151)(142,148)(143,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 52)( 47,108)( 50, 56)( 51,112)( 54, 60)( 55,116)
        ( 58, 77)( 59,117)( 62, 68)( 63,128)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,135)( 74, 96)( 75,140)( 78, 84)
        ( 79,121)( 80,120)( 82, 88)( 83,142)( 86, 92)( 87,145)( 90, 95)( 91,149)( 94,124)( 97,103)( 98,130)( 99,137)
        (101,107)(102,126)(105,111)(106,151)(109,115)(110,147)(113,119)(114,144)(118,123)(122,141)(125,131)(127,150)
        (129,134)(133,138)(136,139)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 80)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 82)( 38, 43)( 39, 90)( 40, 72)( 42, 47)( 45, 51)( 46, 91)( 49, 55)( 50, 94)( 53, 59)( 54, 98)( 57, 76)
        ( 58,102)( 61, 67)( 62,110)( 63, 78)( 65, 71)( 66,114)( 69, 75)( 70,118)( 73, 86)( 74,122)( 77, 83)( 79,106)
        ( 81, 84)( 87, 93)( 88,134)( 89,126)( 92, 97)( 95,101)( 96,135)( 99,105)(100,138)(103,109)(104,142)(107,113)
        (108,145)(111,117)(112,146)(115,121)(116,149)(119,125)(120,133)(123,129)(124,128)(127,130)(131,137)(132,150)
        (136,141)(139,144)(140,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 77)( 34, 61)
        ( 35, 80)( 38, 44)( 39, 92)( 40, 73)( 42, 48)( 43, 96)( 46, 52)( 47,100)( 50, 56)( 51,104)( 54, 60)( 55,108)
        ( 59, 76)( 62, 68)( 63,116)( 64, 84)( 66, 72)( 67,120)( 70, 75)( 71,124)( 74, 88)( 78, 83)( 79,109)( 81, 87)
        ( 82,129)( 85,112)( 86,132)( 89, 95)( 90,144)( 91,125)( 93, 99)( 94,148)( 97,103)( 98,138)(101,107)(102,134)
        (105,111)(106,131)(110,128)(113,119)(114,146)(115,136)(117,123)(118,142)(121,127)(122,152)(126,140)(130,135)
        (133,139)(137,149)(141,147)(143,151)(145,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 54)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39, 70)( 40, 69)( 42, 48)( 43, 98)( 46, 73)( 47,101)( 50, 56)( 51,112)( 52, 74)( 55, 77)
        ( 58, 64)( 59,120)( 60, 93)( 62, 68)( 63,124)( 66, 72)( 67,127)( 71, 97)( 75,108)( 76,105)( 78, 84)( 79,139)
        ( 80,113)( 82, 88)( 83,143)( 86, 92)( 87,148)( 90, 96)( 91,145)( 94,116)( 95,141)( 99,104)(100,128)(102,107)
        (103,150)(106,131)(109,115)(110,138)(111,132)(114,135)(117,123)(118,133)(119,137)(121,126)(122,152)(125,130)
        (129,149)(134,151)(136,142)(140,146)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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, 61)( 16, 32)( 18, 36)( 19, 64)( 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)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,119)( 62, 67)( 63, 84)( 65, 71)( 66,128)( 69, 88)( 70,129)( 74,108)( 75,104)( 78, 83)( 79,123)
        ( 81, 87)( 82,140)( 85,127)( 86,143)( 89, 95)( 90, 94)( 91,131)( 93, 99)( 97,103)( 98,132)(101,107)(102,145)
        (105,135)(106,142)(109,115)(110,152)(111,136)(113,118)(114,149)(117,122)(120,126)(121,150)(124,139)(125,138)
        (130,134)(133,144)(137,147)(141,146)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 88)( 39, 68)( 41, 47)( 42, 92)( 45, 72)( 46, 96)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 81)( 66, 71)( 69, 84)( 70,128)( 74,104)( 75,100)( 78, 83)( 79,119)
        ( 82,123)( 85, 91)( 86, 98)( 87,131)( 89, 95)( 90, 94)( 93, 99)( 97,103)(101,135)(102,132)(105,111)(106,148)
        (107,136)(109,115)(110,145)(113,118)(114,149)(117,122)(120,126)(121,150)(124,130)(125,141)(129,134)(133,142)
        (137,143)(138,139)(140,151)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,120)( 61, 67)( 62,132)( 63, 84)( 66, 71)( 69, 88)( 70,133)( 74,108)( 75,104)( 78, 83)( 79,124)
        ( 81, 87)( 82,142)( 85,128)( 86,145)( 89, 95)( 90,130)( 91,137)( 93, 99)( 94,150)( 97,103)( 98,151)(101,107)
        (102,147)(105,138)(106,144)(109,115)(110,122)(111,139)(113,119)(114,118)(117,123)(121,127)(125,141)(126,140)
        (129,135)(131,149)(134,136)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50, 76)( 52, 58)( 53,112)( 56, 79)
        ( 57,115)( 60, 66)( 61,123)( 62, 87)( 64, 70)( 65,127)( 68, 74)( 69,132)( 72, 91)( 73,129)( 77,111)( 78,107)
        ( 81, 86)( 82,116)( 84, 90)( 85,134)( 88,119)( 89,137)( 92, 98)( 93,145)( 94,125)( 96,102)( 97,149)(100,106)
        (101,143)(104,110)(105,139)(108,114)(109,136)(113,118)(117,133)(120,126)(121,148)(122,141)(124,130)(128,131)
        (135,140)(138,144)(142,150)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,129)( 63, 88)( 65, 71)( 66,132)( 69, 75)( 70,136)( 73, 92)( 74,140)( 78,112)
        ( 79,108)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89,128)( 90,102)( 93, 99)( 94,134)( 95,144)( 97,103)( 98,131)
        (101,107)(105,111)(109,125)(113,119)(114,148)(115,126)(117,123)(118,152)(121,127)(122,150)(130,135)(133,139)
        (137,143)(138,145)(141,147)(142,146)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,117)( 61, 67)( 62,125)( 63, 88)( 65, 71)( 66,129)( 69, 75)( 70,130)( 73, 92)( 74,133)( 78,111)
        ( 79,108)( 82, 87)( 83,113)( 85, 91)( 86,143)( 89,121)( 90,145)( 93, 99)( 94,123)( 95,137)( 97,103)( 98,150)
        (101,107)(102,151)(105,110)(106,147)(109,141)(112,118)(114,142)(116,119)(122,128)(124,149)(126,132)(127,138)
        (131,136)(134,140)(135,139)(144,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)(119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 80)( 39, 69)( 41, 47)( 42, 84)( 45, 72)( 46, 88)( 49, 55)( 50,100)( 51, 73)( 53, 59)( 54,104)( 57, 63)
        ( 58,107)( 61, 67)( 62,111)( 65, 71)( 66,115)( 70, 76)( 74, 96)( 75, 92)( 77, 83)( 78,127)( 79,116)( 81, 87)
        ( 82,131)( 85, 91)( 86,136)( 89, 95)( 90,133)( 93,119)( 94,129)( 97,103)( 98,141)( 99,120)(101,106)(102,145)
        (105,110)(108,114)(109,146)(112,118)(113,149)(117,123)(121,137)(122,125)(124,130)(126,150)(128,134)(132,135)
        (138,144)(139,143)(140,151)(142,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 84)( 39, 72)( 41, 47)( 42, 88)( 45, 76)( 46, 92)( 49, 55)( 50,104)( 51, 77)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 71)( 66,120)( 69, 75)( 70,124)( 73, 80)( 74,128)( 78,100)( 79, 96)( 81, 87)
        ( 82, 86)( 83,129)( 85, 91)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,132)( 98,122)(101,107)(102,140)(103,133)
        (105,111)(106,144)(109,115)(110,147)(113,119)(114,139)(117,123)(118,135)(121,127)(125,131)(134,136)(137,143)
        (138,148)(141,146)(142,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 34)( 28, 56)( 30, 35)( 33, 60)( 37, 43)
        ( 38, 85)( 39, 72)( 41, 47)( 42, 82)( 45, 76)( 46, 86)( 49, 55)( 50, 97)( 51, 77)( 53, 59)( 54,101)( 57, 63)
        ( 58,105)( 61, 67)( 62,109)( 65, 71)( 66,113)( 69, 75)( 70,117)( 73, 80)( 74,121)( 78, 94)( 79, 90)( 81, 84)
        ( 83, 89)( 87, 93)( 88,122)( 91,125)( 92,129)( 95,100)( 96,126)( 98,104)( 99,138)(102,108)(103,141)(106,112)
        (107,145)(110,116)(111,149)(114,120)(115,135)(118,124)(119,131)(123,132)(127,137)(128,133)(130,136)(134,150)
        (139,144)(140,151)(142,148)(143,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 50,111)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,113)( 61, 67)( 62,121)( 63, 84)( 66, 71)( 69, 88)( 70,122)( 74,107)( 75,104)( 77, 83)( 78,133)
        ( 79,109)( 82, 87)( 85,117)( 86,134)( 89, 95)( 90,126)( 91,125)( 93, 99)( 94,142)( 97,103)( 98,145)(101,106)
        (102,149)(105,129)(108,114)(110,130)(112,115)(118,124)(119,144)(120,137)(123,128)(127,141)(131,136)(132,150)
        (135,140)(138,147)(139,151)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 79)( 28, 55)( 30, 35)( 33, 59)( 34, 80)
        ( 37, 43)( 38, 91)( 39, 68)( 41, 47)( 42, 95)( 45, 71)( 46, 99)( 49, 54)( 50, 72)( 52, 58)( 53,108)( 56, 75)
        ( 57,111)( 60, 66)( 61,123)( 62, 83)( 64, 70)( 65,127)( 69, 87)( 73,107)( 74,103)( 76, 82)( 77,139)( 78,115)
        ( 81, 86)( 84,119)( 85,140)( 88, 94)( 89,121)( 90,128)( 92, 98)( 93,144)( 96,102)( 97,147)(100,106)(101,148)
        (104,131)(105,138)(109,114)(110,132)(112,118)(113,152)(116,135)(117,134)(120,126)(122,143)(124,130)(125,129)
        (133,151)(136,142)(137,149)(141,146)(145,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 80)( 28, 56)( 30, 35)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,120)( 61, 67)( 62,132)( 63, 84)( 65, 71)( 66,136)( 70, 88)( 74,108)( 75,104)( 77, 83)( 78, 86)
        ( 79,124)( 82, 87)( 85,128)( 89, 95)( 90, 94)( 91,137)( 93, 99)( 97,103)( 98,138)(101,107)(102,134)(105,140)
        (106,130)(109,115)(110,147)(111,141)(113,119)(114,152)(117,123)(118,149)(121,127)(122,146)(125,131)(126,143)
        (129,135)(133,139)(142,144)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62, 94)( 63, 88)( 65, 71)( 66,128)( 69, 75)( 70,132)( 73, 92)( 74,136)( 78,112)
        ( 79,108)( 81, 87)( 82,140)( 83,110)( 86, 91)( 89, 98)( 90,141)( 93, 99)( 95,131)( 97,103)(101,107)(102,142)
        (105,111)(106,143)(109,125)(113,119)(114,146)(115,126)(117,123)(118,152)(121,127)(122,149)(129,135)(130,137)
        (133,139)(134,145)(138,144)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 84)( 28, 56)( 30, 35)( 33, 60)( 34, 85)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,131)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 92)( 74,143)( 78,112)
        ( 79,108)( 81, 87)( 82,147)( 83,110)( 86, 91)( 89,127)( 90,148)( 93, 99)( 94,137)( 95,144)( 97,103)( 98,133)
        (101,107)(102,129)(105,111)(106,150)(109,124)(113,118)(114,152)(115,125)(117,122)(120,126)(121,151)(128,134)
        (130,149)(132,138)(136,142)(140,146)(141,145),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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)( 62,125)( 63, 88)( 65, 71)( 66,129)( 69, 75)( 70,133)( 73, 92)( 74,137)( 78,112)
        ( 79,108)( 81, 87)( 82,145)( 83,110)( 86, 91)( 89,121)( 90,146)( 93, 99)( 94,123)( 95,141)( 97,103)( 98,150)
        (101,107)(102,151)(105,111)(106,148)(109,119)(113,116)(115,120)(122,128)(124,149)(126,132)(127,142)(130,136)
        (131,143)(134,140)(135,139)(138,144)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 77)( 28, 56)( 30, 35)( 31, 80)( 34, 60)
        ( 37, 43)( 38, 88)( 39, 68)( 41, 47)( 42, 92)( 45, 72)( 46, 96)( 49, 55)( 50,108)( 51, 73)( 53, 59)( 54,112)
        ( 57, 76)( 58,116)( 61, 67)( 62,127)( 63, 81)( 66, 71)( 69, 84)( 70,128)( 74,104)( 75,100)( 78, 83)( 79,119)
        ( 82,123)( 85, 91)( 86, 98)( 87,131)( 89, 95)( 90, 94)( 93, 99)( 97,103)(101,135)(102,132)(105,111)(106,148)
        (107,136)(109,115)(110,145)(113,118)(114,149)(117,122)(120,126)(121,150)(124,130)(125,141)(129,134)(133,142)
        (137,143)(138,139)(140,151)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,113)( 61, 67)( 62,121)( 63, 85)( 66, 71)( 69, 88)( 70,122)( 74,107)( 75,104)( 77, 83)( 78,133)
        ( 79,109)( 81, 87)( 82,137)( 86,117)( 89, 95)( 90,126)( 91,125)( 93, 99)( 94,142)( 97,103)( 98,145)(101,106)
        (102,149)(105,129)(108,114)(110,130)(112,115)(118,124)(119,144)(120,138)(123,128)(127,141)(131,136)(132,150)
        (134,140)(135,151)(139,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 88)( 34, 60)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,131)( 63, 89)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 92)( 74,143)( 78,112)
        ( 79,108)( 81, 87)( 82,147)( 83,110)( 85, 91)( 86,148)( 90,127)( 93, 99)( 94,137)( 95,144)( 97,103)( 98,133)
        (101,107)(102,129)(105,111)(106,150)(109,124)(113,118)(114,152)(115,125)(117,122)(120,126)(121,151)(128,134)
        (130,149)(132,138)(136,142)(140,146)(141,145),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 88)( 34, 60)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,117)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,125)( 63, 89)( 65, 71)( 66,129)( 69, 75)( 70,133)( 73, 92)( 74,137)( 78,112)
        ( 79,108)( 81, 87)( 82,145)( 83,110)( 85, 91)( 86,149)( 90,121)( 93, 99)( 94,123)( 95,141)( 97,103)( 98,151)
        (101,107)(102,147)(105,111)(106,148)(109,119)(113,116)(115,120)(122,128)(124,150)(126,132)(127,142)(130,136)
        (131,143)(134,140)(135,139)(138,144)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 84)( 34, 60)
        ( 37, 43)( 38, 73)( 39, 72)( 41, 47)( 42, 88)( 45, 76)( 46, 91)( 49, 55)( 50, 99)( 51, 77)( 53, 59)( 54,103)
        ( 57, 79)( 58,107)( 61, 67)( 62,115)( 63, 85)( 65, 71)( 66,119)( 69, 75)( 70,123)( 74, 87)( 78, 95)( 80, 86)
        ( 81,118)( 82,111)( 89, 94)( 90,124)( 92, 98)( 93,132)( 96,102)( 97,135)(100,106)(101,139)(104,110)(105,143)
        (108,114)(109,148)(112,127)(113,145)(116,122)(117,128)(120,126)(121,149)(125,131)(129,152)(130,141)(133,138)
        (134,150)(136,142)(137,151)(140,146)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 76)( 59,123)( 63, 68)( 64, 91)( 66, 72)( 67,132)( 70, 95)( 71,135)( 75,111)( 77, 82)( 78,127)
        ( 80, 86)( 81,144)( 84, 90)( 85,129)( 88, 94)( 89,125)( 92,131)( 93,121)( 96,102)( 97,149)( 98,139)(100,106)
        (101,150)(104,110)(105,148)(108,114)(109,141)(112,118)(113,137)(116,122)(117,134)(120,126)(124,130)(128,143)
        (133,138)(136,142)(140,145)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,120)( 52, 74)( 54, 60)
        ( 55,124)( 58, 77)( 59,128)( 63, 68)( 64, 92)( 66, 72)( 67,133)( 70, 96)( 71,136)( 75,116)( 76,112)( 78, 83)
        ( 79,114)( 81, 87)( 82,110)( 85, 91)( 86,106)( 89, 95)( 90,102)( 93,132)( 94, 98)( 97,103)( 99,140)(101,107)
        (105,111)(109,115)(113,129)(117,123)(118,146)(119,130)(121,127)(122,152)(125,131)(126,149)(134,139)(135,141)
        (137,143)(138,145)(142,144)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 69)( 42, 48)( 43,105)( 46, 73)( 47,109)( 50, 56)( 51,120)( 52, 74)( 54, 60)
        ( 55,123)( 58, 77)( 59,127)( 63, 68)( 64, 93)( 66, 72)( 67,132)( 70, 97)( 71,135)( 75,116)( 76,112)( 78, 84)
        ( 79,107)( 80,114)( 82, 88)( 83,103)( 86, 92)( 87, 99)( 90, 96)( 91,140)( 94,131)( 95,143)( 98,104)(100,139)
        (102,108)(106,111)(110,115)(113,128)(117,122)(118,152)(119,129)(121,126)(124,130)(125,151)(133,138)(134,147)
        (136,142)(137,148)(141,146)(144,150)(145,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39,100)( 40, 68)( 42, 47)( 45, 72)( 46,101)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,131)( 63, 92)( 66, 71)( 69, 96)( 70,132)( 74,107)( 75,104)( 77, 83)( 78,143)
        ( 79,123)( 81, 87)( 82,147)( 85, 91)( 86,152)( 89, 95)( 90,149)( 93,127)( 94,145)( 97,103)( 98,138)( 99,133)
        (102,106)(105,135)(108,114)(109,142)(110,136)(112,118)(113,125)(116,122)(117,121)(120,126)(124,139)(128,134)
        (129,137)(130,141)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 97)( 40, 68)( 42, 47)( 43,101)( 46, 72)( 49, 55)( 50,109)( 51, 73)( 53, 59)( 54,113)
        ( 57, 76)( 58,117)( 61, 67)( 62,129)( 63, 91)( 66, 71)( 69, 95)( 70,130)( 74,105)( 75,102)( 77, 82)( 78,137)
        ( 79,121)( 81, 86)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,125)( 93,145)( 96,100)( 98,104)( 99,131)(103,127)
        (106,112)(107,146)(108,128)(110,116)(111,149)(114,120)(115,136)(118,124)(119,123)(122,133)(126,132)(134,140)
        (135,150)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 88)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 76)( 59,120)( 62, 68)( 63,132)( 64, 89)( 67, 72)( 70, 92)( 71,133)( 75,108)( 77, 83)( 78,141)
        ( 79,124)( 81, 87)( 82,145)( 85, 91)( 86,149)( 90,128)( 93, 99)( 94,130)( 95,137)( 97,103)( 98,151)(101,107)
        (102,147)(105,111)(106,143)(109,115)(110,140)(113,119)(114,126)(117,123)(118,122)(121,127)(125,138)(129,135)
        (131,150)(134,136)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,105)( 50, 56)( 51,115)( 52, 73)( 54, 60)
        ( 55,119)( 58, 76)( 59,123)( 62, 68)( 63, 99)( 64, 92)( 67, 71)( 70, 96)( 74,111)( 75,108)( 77, 83)( 78,143)
        ( 79,127)( 81, 87)( 82,147)( 85, 91)( 86,152)( 89, 95)( 90,149)( 93,131)( 94,145)( 97,103)( 98,132)(101,107)
        (102,138)(106,110)(109,135)(112,118)(113,142)(114,136)(116,122)(117,129)(120,126)(121,125)(124,130)(128,139)
        (133,137)(134,141)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 97)( 40, 69)( 42, 48)( 43,101)( 46, 73)( 47,105)( 50, 56)( 51,118)( 52, 74)( 54, 60)
        ( 55,115)( 58, 77)( 59,119)( 62, 68)( 63,130)( 64, 89)( 67, 72)( 70, 93)( 71,131)( 75,113)( 76,109)( 78, 84)
        ( 79,142)( 80,123)( 82, 88)( 83,146)( 87, 92)( 90,126)( 91,147)( 94,100)( 95, 99)( 96,134)( 98,104)(102,108)
        (103,135)(106,112)(107,149)(110,121)(111,141)(114,117)(116,122)(120,125)(124,138)(127,133)(128,151)(129,144)
        (132,137)(136,152)(139,145)(140,150)(143,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), 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, 79)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39,100)( 40, 68)( 42, 47)( 43, 97)( 46, 72)( 49, 55)( 50,105)( 51, 73)( 53, 59)( 54,109)
        ( 57, 76)( 58,113)( 61, 67)( 62,103)( 63, 91)( 66, 71)( 69, 95)( 70,104)( 74,101)( 75, 98)( 77, 82)( 78,117)
        ( 80, 86)( 81,122)( 84, 90)( 85,125)( 88, 94)( 89,129)( 92,107)( 93,133)( 96, 99)(102,108)(106,112)(110,116)
        (111,134)(114,120)(115,137)(118,121)(119,141)(123,128)(124,145)(126,132)(127,150)(130,136)(131,151)(135,140)
        (138,144)(139,152)(142,148)(143,147)(146,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,102)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,114)( 52, 74)( 54, 60)
        ( 55,118)( 58, 77)( 59,121)( 62, 68)( 63,133)( 64, 93)( 67, 72)( 70, 97)( 71,134)( 75,110)( 76,107)( 78, 84)
        ( 79,126)( 80,125)( 82, 88)( 83,138)( 86, 92)( 87,141)( 90, 96)( 91,142)( 94,129)( 95,145)( 98,101)(100,106)
        (104,109)(105,135)(108,131)(111,117)(112,146)(113,132)(115,120)(116,149)(119,124)(122,128)(123,150)(127,137)
        (130,136)(139,144)(140,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 69)( 42, 47)( 43, 97)( 46, 72)( 49, 55)( 50, 66)( 51, 73)( 53, 59)( 54, 62)
        ( 57, 76)( 58, 93)( 61, 67)( 63, 92)( 65, 71)( 70, 74)( 75, 98)( 77, 83)( 78,107)( 79, 99)( 81, 87)( 82,111)
        ( 85, 91)( 86,115)( 89, 95)( 90,119)( 94,102)(100,103)(101,120)(104,110)(105,131)(106,123)(108,114)(109,135)
        (112,118)(113,139)(116,122)(117,143)(121,126)(124,127)(125,144)(128,134)(129,133)(130,147)(132,138)(136,142)
        (137,148)(140,146)(141,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 60)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 72)( 47,107)( 50, 56)( 51,115)( 52, 73)( 54, 59)
        ( 55,119)( 58, 76)( 61, 67)( 62,127)( 63, 91)( 65, 71)( 66,131)( 70, 95)( 74,111)( 75,108)( 77, 83)( 78,141)
        ( 79,120)( 81, 87)( 82,145)( 85, 90)( 86,149)( 89, 94)( 92,123)( 93,150)( 96,102)( 97,133)( 98,132)(100,106)
        (101,129)(104,110)(105,125)(109,135)(112,118)(113,147)(114,136)(116,122)(117,143)(121,139)(124,130)(126,138)
        (128,134)(137,151)(140,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 51,112)( 52, 74)( 54, 60)
        ( 55,116)( 58, 77)( 59,120)( 62, 68)( 63,127)( 64, 83)( 66, 72)( 67,131)( 71, 88)( 75,108)( 76,104)( 78, 84)
        ( 79,130)( 80,123)( 82, 87)( 89, 95)( 90,147)( 91,132)( 93, 99)( 94,152)( 97,103)( 98,149)(101,107)(102,145)
        (105,135)(106,142)(109,115)(110,114)(111,136)(113,119)(117,122)(118,137)(121,126)(124,139)(125,138)(128,134)
        (129,140)(133,143)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 70)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,121)( 52, 74)( 54, 60)
        ( 55,118)( 58, 77)( 59,122)( 62, 68)( 63,134)( 64, 93)( 66, 72)( 67,138)( 71, 96)( 75,116)( 76,112)( 78, 84)
        ( 79,127)( 80,126)( 82, 88)( 83,142)( 86, 92)( 87,145)( 90, 95)( 91,149)( 94,130)( 97,103)( 98,136)( 99,139)
        (101,107)(102,132)(105,111)(106,151)(109,115)(110,147)(113,124)(114,144)(117,120)(119,125)(123,129)(128,141)
        (131,137)(133,150)(135,140)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)
        ( 57,115)( 60, 66)( 61,109)( 62, 95)( 64, 70)( 65,105)( 68, 74)( 69,123)( 72, 99)( 73,128)( 77,103)( 78,101)
        ( 80, 86)( 81,130)( 82,119)( 84, 90)( 85,133)( 88, 94)( 89,134)( 92, 98)( 93,137)( 96,113)( 97,141)(102,125)
        (104,110)(106,126)(108,114)(112,118)(116,122)(117,142)(120,129)(121,145)(124,127)(131,136)(132,149)(135,140)
        (138,144)(139,150)(143,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 88)( 38, 43)( 39, 71)( 41, 47)( 42, 96)( 45, 75)( 46, 99)( 49, 54)( 50,111)( 51, 76)( 53, 58)( 56, 79)
        ( 57,112)( 60, 66)( 61,123)( 62, 91)( 64, 70)( 65,128)( 68, 74)( 69,125)( 72, 95)( 73,121)( 77,107)( 78,103)
        ( 80, 86)( 81,141)( 82,115)( 84, 90)( 85,145)( 89, 94)( 92,119)( 93,146)( 97,102)( 98,129)(100,106)(101,150)
        (104,133)(105,140)(108,114)(109,135)(110,134)(113,118)(116,137)(117,136)(120,126)(122,132)(124,127)(130,149)
        (131,147)(138,144)(139,151)(142,148)(143,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 92)( 65, 71)( 66,135)( 69, 75)( 70,140)( 73, 96)( 74,137)( 78,107)
        ( 79,104)( 82, 87)( 83,123)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93,127)( 94,150)( 98,103)( 99,133)(101,106)
        (102,129)(105,141)(108,114)(109,148)(110,142)(112,118)(113,125)(116,122)(117,121)(120,126)(124,145)(128,134)
        (130,144)(132,138)(136,139)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,132)( 63, 92)( 65, 71)( 66,137)( 69, 75)( 70,134)( 73, 96)( 74,130)( 78,108)
        ( 79,104)( 82, 87)( 83,124)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93,128)( 94,140)( 98,103)( 99,138)(101,107)
        (102,151)(105,142)(106,148)(109,115)(110,122)(111,143)(113,119)(114,118)(117,123)(121,127)(125,145)(126,144)
        (129,135)(131,141)(133,136)(139,150)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 54,115)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 92)( 65, 71)( 66,135)( 69, 75)( 70,140)( 73, 96)( 74,137)( 78,107)
        ( 79,104)( 81, 87)( 82,149)( 83,123)( 86, 91)( 89, 95)( 90,150)( 93,127)( 94,151)( 97,103)( 98,144)( 99,133)
        (102,106)(105,141)(108,114)(109,148)(110,142)(112,118)(113,125)(116,122)(117,121)(120,126)(124,145)(128,134)
        (129,143)(130,147)(132,138)(136,139)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 76)( 49, 55)( 50,115)( 51, 77)( 53, 59)( 54,119)
        ( 57, 80)( 58,123)( 61, 67)( 62,101)( 63, 95)( 65, 71)( 66,131)( 69, 75)( 70,132)( 73, 99)( 74,136)( 78,111)
        ( 79,108)( 81, 86)( 82,127)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,105)( 97,140)(100,106)
        (102,134)(104,110)(109,137)(112,118)(113,151)(114,138)(116,122)(117,147)(120,126)(121,144)(124,130)(125,129)
        (128,141)(133,135)(139,150)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 47)( 43,108)( 46, 76)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,102)( 63, 96)( 65, 71)( 66,131)( 69, 75)( 70,136)( 73,100)( 74,133)( 78,112)
        ( 79,109)( 81, 87)( 82,128)( 83,127)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,106)( 98,140)
        (101,107)(103,134)(105,111)(110,137)(113,119)(114,151)(115,138)(117,123)(118,147)(121,126)(122,144)(125,130)
        (129,141)(132,135)(139,150)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 85)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,121)( 58, 80)( 59,118)( 62, 68)( 63,126)( 64, 92)( 66, 72)( 67,130)( 70, 76)( 71,131)( 74, 96)( 75,134)
        ( 79,112)( 81, 87)( 82,142)( 83,114)( 86, 91)( 89, 95)( 90,143)( 93,122)( 94,146)( 97,103)( 98,124)( 99,138)
        (101,107)(102,151)(105,111)(106,148)(109,115)(110,145)(113,119)(117,120)(123,129)(125,150)(127,133)(128,139)
        (132,137)(135,141)(136,140)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,121)( 58, 80)( 59,118)( 62, 68)( 63,126)( 64, 93)( 66, 72)( 67,130)( 70, 76)( 71,131)( 74, 96)( 75,134)
        ( 79,112)( 81, 87)( 82,142)( 83,114)( 85, 91)( 86,145)( 89, 95)( 90,149)( 94,122)( 97,103)( 98,124)( 99,138)
        (101,107)(102,151)(105,111)(106,147)(109,115)(110,144)(113,119)(117,120)(123,129)(125,150)(127,133)(128,139)
        (132,137)(135,141)(136,140)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 97)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 55)( 51,116)( 52, 77)( 54, 59)
        ( 57, 80)( 58,117)( 61, 67)( 62,128)( 63, 92)( 65, 71)( 66,133)( 69, 75)( 70,130)( 73, 96)( 74,126)( 78,112)
        ( 79,108)( 82, 87)( 83,120)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93,124)( 94,149)( 98,103)( 99,134)(101,107)
        (102,151)(105,111)(106,147)(109,137)(110,144)(113,119)(114,139)(115,138)(118,123)(121,141)(122,140)(125,131)
        (127,136)(129,132)(135,150)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51,118)( 52, 77)( 54, 59)
        ( 57, 80)( 58,119)( 61, 67)( 62,126)( 63, 92)( 65, 71)( 66,130)( 69, 75)( 70,134)( 73, 96)( 74,138)( 78,116)
        ( 79,112)( 81, 87)( 82,142)( 83,114)( 86, 91)( 89, 95)( 90,143)( 93,122)( 94,146)( 97,103)( 98,124)( 99,139)
        (101,107)(102,151)(105,111)(106,148)(109,115)(110,145)(113,120)(117,121)(123,129)(125,150)(127,133)(128,140)
        (131,137)(132,136)(135,141)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51,118)( 52, 77)( 54, 59)
        ( 57, 80)( 58,119)( 61, 67)( 62,126)( 63, 93)( 65, 71)( 66,130)( 69, 75)( 70,134)( 73, 96)( 74,138)( 78,116)
        ( 79,112)( 81, 87)( 82,142)( 83,114)( 85, 91)( 86,145)( 89, 95)( 90,149)( 94,122)( 97,103)( 98,124)( 99,139)
        (101,107)(102,151)(105,111)(106,147)(109,115)(110,144)(113,120)(117,121)(123,129)(125,150)(127,133)(128,140)
        (131,137)(132,136)(135,141)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51,120)( 52, 77)( 54, 59)
        ( 57, 80)( 58,121)( 61, 67)( 62,127)( 63, 93)( 65, 71)( 66,128)( 69, 75)( 70,131)( 73, 96)( 74,136)( 78,116)
        ( 79,112)( 81, 87)( 82,141)( 83,118)( 85, 91)( 86,145)( 89, 95)( 90,149)( 94,123)( 97,103)( 98,125)( 99,133)
        (101,107)(102,151)(105,111)(106,147)(109,115)(110,143)(113,138)(114,137)(117,122)(119,139)(124,130)(126,150)
        (129,134)(132,135)(140,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 83)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,117)( 52, 76)( 54, 59)
        ( 55,121)( 58, 79)( 61, 67)( 62,129)( 63, 91)( 65, 71)( 66,133)( 69, 74)( 70, 98)( 73, 95)( 77,115)( 78,111)
        ( 81, 86)( 82,122)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92,125)( 93,145)( 96,102)( 97,134)(100,106)(101,151)
        (104,110)(105,147)(108,114)(109,143)(112,119)(113,140)(116,120)(118,124)(123,137)(126,132)(127,131)(128,149)
        (130,136)(135,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,124)( 58, 80)( 59,128)( 62, 67)( 63, 92)( 65, 71)( 66,133)( 69, 75)( 70,136)( 73, 96)( 74,140)( 78,116)
        ( 79,112)( 82, 87)( 83,114)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93,132)( 94,102)( 97,103)( 98,135)( 99,144)
        (101,107)(105,111)(109,115)(113,129)(117,123)(118,148)(119,130)(121,127)(122,152)(125,131)(126,150)(134,139)
        (137,143)(138,145)(141,147)(142,146)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 89)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47,108)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63, 98)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 96)( 75,140)
        ( 79,116)( 80,112)( 83, 88)( 84,114)( 86, 92)( 87,110)( 90, 95)( 91,106)( 94,102)( 97,103)( 99,135)(101,107)
        (105,111)(109,115)(113,129)(117,123)(118,146)(119,130)(121,127)(122,152)(125,131)(126,149)(133,139)(134,141)
        (137,143)(138,145)(142,144)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152) ), 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)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 96)( 75,144)
        ( 79,116)( 80,112)( 82, 88)( 83,149)( 84,114)( 87, 92)( 90, 95)( 91,150)( 94,131)( 97,103)( 98,141)( 99,148)
        (101,107)(102,137)(105,111)(106,133)(109,115)(110,152)(113,128)(117,122)(118,129)(120,126)(121,125)(124,130)
        (132,138)(134,151)(136,142)(140,146)(145,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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)( 47,108)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 96)( 75,148)
        ( 79,116)( 80,112)( 82, 88)( 83,149)( 84,114)( 87, 92)( 90, 95)( 91,150)( 94,131)( 97,103)( 98,141)( 99,145)
        (101,107)(102,137)(105,111)(106,133)(109,115)(110,152)(113,128)(117,123)(118,122)(119,129)(121,126)(125,130)
        (132,138)(134,151)(136,142)(140,146)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43,100)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 81)( 59,124)( 62, 68)( 63,128)( 64, 87)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 92)( 75,140)
        ( 79,112)( 80,108)( 82, 88)( 83,131)( 84,110)( 86, 91)( 93, 99)( 94,142)( 95,145)( 97,103)( 98,138)(101,107)
        (102,134)(105,111)(106,130)(109,125)(113,119)(114,146)(115,126)(117,123)(118,152)(121,127)(122,149)(129,135)
        (133,139)(137,143)(141,144)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39, 96)( 40, 73)( 42, 48)( 43, 97)( 46, 77)( 47,100)( 50, 56)( 51,112)( 52, 78)( 54, 60)
        ( 55,116)( 58, 81)( 59,120)( 62, 68)( 63,128)( 64, 87)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 92)( 75,141)
        ( 79,108)( 80,104)( 82, 88)( 83,131)( 84,124)( 86, 91)( 93, 99)( 94,149)( 95,138)( 98,103)(101,107)(102,150)
        (105,142)(106,148)(109,115)(110,122)(111,143)(113,119)(114,118)(117,123)(121,127)(125,145)(126,144)(129,135)
        (130,146)(133,139)(134,152)(137,140)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63, 98)( 64, 93)( 66, 72)( 67,132)( 70, 76)( 71,136)( 74, 96)( 75,140)
        ( 79,116)( 80,112)( 82, 87)( 83,114)( 85, 91)( 86,110)( 89, 95)( 90,106)( 94,102)( 97,103)( 99,135)(101,107)
        (105,111)(109,115)(113,129)(117,123)(118,146)(119,130)(121,127)(122,152)(125,131)(126,149)(133,139)(134,141)
        (137,143)(138,145)(142,144)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152) ), 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)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,125)( 64, 93)( 66, 72)( 67,121)( 70, 76)( 71,117)( 74, 96)( 75,135)
        ( 79,115)( 80,112)( 82, 87)( 83,131)( 85, 91)( 86,144)( 89, 95)( 90,133)( 94,129)( 97,103)( 98,149)( 99,139)
        (101,107)(102,150)(105,111)(106,148)(109,114)(110,141)(113,137)(116,122)(118,138)(120,126)(124,130)(128,134)
        (132,143)(136,142)(140,145)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), 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)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 96)( 75,144)
        ( 79,116)( 80,112)( 82, 87)( 83,149)( 84,114)( 86, 91)( 89, 95)( 90,150)( 94,131)( 97,103)( 98,141)( 99,148)
        (101,107)(102,137)(105,111)(106,133)(109,115)(110,152)(113,128)(117,122)(118,129)(120,126)(121,125)(124,130)
        (132,138)(134,151)(136,142)(140,146)(145,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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)( 47,108)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 96)( 75,148)
        ( 79,116)( 80,112)( 82, 87)( 83,149)( 84,114)( 86, 91)( 89, 95)( 90,150)( 94,131)( 97,103)( 98,141)( 99,145)
        (101,107)(102,137)(105,111)(106,133)(109,115)(110,152)(113,128)(117,123)(118,122)(119,129)(121,126)(125,130)
        (132,138)(134,151)(136,142)(140,146)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,124)( 58, 80)( 59,128)( 62, 67)( 63,117)( 64, 96)( 66, 71)( 69, 75)( 70,118)( 73,100)( 74,114)( 78, 97)
        ( 79,116)( 81, 87)( 82,138)( 83,132)( 85, 91)( 86,141)( 89, 95)( 90,145)( 93, 99)( 94,149)( 98,123)(101,107)
        (102,106)(103,110)(105,111)(109,115)(113,119)(121,127)(122,150)(125,131)(126,151)(129,135)(130,147)(133,136)
        (134,143)(137,140)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,109)( 46, 77)( 47,113)( 50, 56)( 51, 67)( 52, 78)( 54, 60)
        ( 55, 63)( 58, 81)( 59, 98)( 62, 68)( 64, 97)( 66, 72)( 70, 76)( 71, 79)( 74,101)( 75,115)( 80,114)( 82, 88)
        ( 83,125)( 84,117)( 86, 92)( 87,129)( 90, 96)( 91,132)( 94,100)( 95,136)( 99,120)(102,108)(103,107)(104,111)
        (106,112)(110,116)(118,121)(119,137)(122,128)(123,146)(124,140)(126,131)(127,149)(130,135)(133,139)(134,150)
        (138,143)(141,144)(142,151)(145,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)(144,145)
        (146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,125)( 64, 96)( 66, 72)( 67,121)( 70, 76)( 71,117)( 74,100)( 75,135)
        ( 79,115)( 80,112)( 82, 88)( 83,145)( 84,131)( 86, 92)( 87,146)( 90, 95)( 91,149)( 94, 99)( 97,129)( 98,150)
        (101,106)(102,140)(103,139)(105,110)(108,114)(109,141)(113,137)(116,122)(118,138)(120,126)(124,130)(128,134)
        (132,143)(133,151)(136,142)(144,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,140)
        ( 79,120)( 80,116)( 82, 87)( 83,143)( 84,118)( 86, 91)( 89, 95)( 90,144)( 93, 99)( 94,147)( 97,106)( 98,148)
        (101,107)(103,138)(105,111)(109,115)(110,149)(113,119)(114,146)(117,132)(121,126)(122,152)(123,133)(125,130)
        (128,134)(129,151)(136,142)(137,141)(145,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,100)( 75,140)
        ( 79,120)( 80,116)( 82, 88)( 83,143)( 84,118)( 86, 92)( 87,144)( 90, 95)( 91,147)( 94, 99)( 97,106)( 98,148)
        (101,107)(103,138)(105,111)(109,115)(110,149)(113,119)(114,146)(117,132)(121,126)(122,152)(123,133)(125,130)
        (128,134)(129,151)(136,142)(137,141)(145,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,126)( 64, 96)( 66, 72)( 67,122)( 70, 76)( 71,118)( 74,100)( 75,136)
        ( 79,116)( 80,113)( 82, 88)( 83,148)( 84,132)( 86, 92)( 87,145)( 90, 95)( 91,149)( 94, 99)( 97,130)( 98,150)
        (101,107)(102,106)(103,140)(105,111)(109,115)(110,141)(114,138)(117,123)(119,139)(121,127)(125,131)(129,135)
        (133,143)(134,151)(137,142)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,126)( 64, 96)( 66, 72)( 67,122)( 70, 76)( 71,118)( 74,100)( 75,114)
        ( 79,120)( 80,116)( 82, 88)( 83,142)( 84,136)( 86, 92)( 87,145)( 90, 95)( 91,149)( 94, 99)( 97,130)( 98,150)
        (101,107)(102,106)(103,110)(105,111)(109,115)(113,119)(117,123)(121,127)(125,131)(129,135)(133,139)(134,151)
        (137,140)(138,147)(141,144)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,123)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,136)( 74,100)( 75,140)
        ( 79,120)( 80,116)( 82, 88)( 83,141)( 84,118)( 86, 91)( 87,145)( 90, 95)( 93, 99)( 94,146)( 97,106)( 98,149)
        (101,107)(103,138)(105,111)(109,115)(110,150)(113,119)(114,144)(117,132)(121,126)(122,133)(124,130)(125,129)
        (128,134)(137,139)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,131)( 62, 68)( 63,102)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,140)( 74,100)( 75,137)
        ( 79,120)( 80,116)( 82, 88)( 83,141)( 84,118)( 86, 91)( 87,145)( 90, 95)( 93, 99)( 94,146)( 97,106)( 98,149)
        (101,107)(103,138)(105,111)(109,115)(110,150)(113,119)(114,144)(117,132)(121,127)(122,126)(123,133)(125,130)
        (129,134)(136,139)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 76)( 47,112)( 50, 56)( 51,121)( 52, 77)( 54, 60)
        ( 55,123)( 58, 80)( 59,127)( 62, 68)( 63, 97)( 64, 96)( 66, 72)( 67,134)( 70, 75)( 71,103)( 74,100)( 78,120)
        ( 79,116)( 81, 87)( 82,138)( 83,132)( 85, 91)( 86,141)( 89, 95)( 90,145)( 93, 99)( 94,149)( 98,133)(101,107)
        (102,135)(105,111)(106,151)(109,115)(110,147)(113,119)(114,143)(117,125)(118,140)(122,126)(124,130)(128,131)
        (129,137)(136,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 88)( 38, 44)( 39,100)( 40, 73)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,124)( 58, 80)( 59,121)( 62, 68)( 63,129)( 64, 92)( 66, 72)( 67,133)( 70, 75)( 71,137)( 74, 96)( 78,115)
        ( 79,112)( 82, 87)( 83,117)( 85, 91)( 86,143)( 89, 95)( 90,145)( 93,125)( 94,149)( 97,103)( 98,131)( 99,138)
        (101,107)(102,127)(105,111)(106,151)(109,114)(110,147)(113,141)(116,122)(118,142)(120,123)(126,132)(128,150)
        (130,136)(134,140)(135,139)(144,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,125)( 58, 80)( 59,122)( 62, 68)( 63,130)( 64, 93)( 66, 72)( 67,131)( 70, 75)( 71,134)( 74, 96)( 78,116)
        ( 79,112)( 81, 87)( 82,141)( 83,118)( 85, 91)( 86,145)( 89, 95)( 90,149)( 94,126)( 97,103)( 98,128)( 99,135)
        (101,107)(102,151)(105,111)(106,147)(109,115)(110,143)(113,138)(114,137)(117,123)(119,139)(121,124)(127,133)
        (129,150)(132,136)(140,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 76)( 47,108)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,125)( 58, 80)( 59,122)( 62, 68)( 63,130)( 64, 93)( 66, 72)( 67,133)( 70, 75)( 71,134)( 74, 96)( 78,116)
        ( 79,112)( 81, 87)( 82,141)( 83,118)( 85, 91)( 86,145)( 89, 95)( 90,149)( 94,126)( 97,103)( 98,128)( 99,135)
        (101,107)(102,151)(105,111)(106,147)(109,115)(110,143)(113,138)(114,137)(117,123)(119,139)(121,124)(127,132)
        (129,150)(131,136)(140,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,116)( 58, 80)( 61, 67)( 62,123)( 63, 95)( 65, 71)( 66,127)( 69, 75)( 70,132)( 73, 99)( 74,129)( 79,115)
        ( 81, 87)( 82,133)( 83,117)( 85, 90)( 86,137)( 89, 94)( 92, 98)( 93,138)( 96,119)( 97,141)(100,106)(101,121)
        (102,125)(104,110)(105,146)(108,114)(109,149)(112,118)(113,136)(120,126)(122,145)(124,130)(128,131)(134,140)
        (135,150)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,116)( 58, 80)( 61, 67)( 62,123)( 63, 95)( 65, 71)( 66,127)( 69, 75)( 70,132)( 73, 99)( 74,129)( 79,115)
        ( 81, 87)( 82,133)( 83,117)( 85, 91)( 86,137)( 89, 94)( 90,141)( 93, 98)( 96,119)( 97,142)(100,106)(101,121)
        (102,125)(104,110)(105,146)(108,114)(109,149)(112,118)(113,136)(120,126)(122,145)(124,130)(128,131)(134,140)
        (135,150)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,106)( 40, 73)( 42, 48)( 43,103)( 46, 77)( 47,107)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,117)( 64, 97)( 66, 72)( 67,135)( 70, 76)( 71,139)( 74,101)( 75,143)
        ( 79,115)( 80,111)( 82, 88)( 83, 87)( 84,131)( 86, 92)( 90, 96)( 91,132)( 94,100)( 95,146)( 98,121)( 99,150)
        (102,105)(104,110)(108,114)(109,144)(112,137)(113,141)(116,122)(118,138)(120,126)(124,130)(125,151)(128,134)
        (129,148)(133,149)(136,142)(140,145)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152) ), 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)( 42,101)( 45, 75)( 48, 54)( 49, 65)( 50, 76)( 52, 58)( 53, 61)( 56, 79)
        ( 57, 96)( 60, 66)( 62, 95)( 64, 70)( 68, 74)( 69, 77)( 72,100)( 73, 99)( 78,102)( 80, 86)( 81,111)( 82,103)
        ( 84, 90)( 85,115)( 88, 94)( 89,119)( 92, 98)( 93,123)( 97,106)(104,107)(105,124)(108,114)(109,132)(110,127)
        (112,118)(113,135)(116,122)(117,139)(120,126)(121,143)(125,130)(128,131)(129,144)(133,138)(134,147)(136,142)
        (137,152)(140,146)(141,149)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 72)( 41, 47)( 42,102)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,124)( 61, 67)( 62,132)( 63, 96)( 65, 71)( 66,110)( 69, 75)( 70,106)( 73,101)( 74,100)( 78,112)
        ( 79,108)( 81, 87)( 82,137)( 83,128)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,114)( 98,149)
        (103,107)(105,111)(109,133)(113,119)(115,134)(117,123)(118,150)(121,127)(122,151)(125,131)(126,147)(129,135)
        (130,143)(136,140)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 47)( 43,105)( 46, 76)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,118)( 63, 96)( 65, 71)( 66,114)( 69, 75)( 70,110)( 73,101)( 74,100)( 78,108)
        ( 79,106)( 81, 87)( 82,131)( 83,124)( 85, 91)( 86,132)( 89, 95)( 90,135)( 93, 99)( 94,139)( 97,122)( 98,143)
        (102,107)(103,111)(109,115)(113,119)(117,123)(121,127)(125,128)(126,144)(129,134)(130,147)(133,138)(136,142)
        (137,148)(140,146)(141,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,109)( 46, 77)( 47,113)( 50, 56)( 51,126)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,134)( 64, 97)( 66, 72)( 67,138)( 70, 76)( 71,139)( 74,102)( 75,101)
        ( 79,121)( 80,117)( 82, 88)( 83,142)( 84,119)( 86, 92)( 87,146)( 90, 96)( 91,150)( 94,100)( 95,151)( 98,130)
        ( 99,148)(103,108)(104,140)(106,112)(107,136)(110,116)(111,132)(114,120)(115,145)(118,128)(122,125)(124,129)
        (131,137)(133,144)(135,141)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152) ), 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)( 39,152)( 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)( 74,151)( 81, 87)( 82,112)( 83,104)
        ( 85, 91)( 86,116)( 89, 95)( 90,120)( 93, 99)( 94,124)( 98,103)(101,107)(102,125)(105,108)(106,128)(109,115)
        (110,139)(111,132)(113,119)(114,143)(117,123)(118,147)(121,127)(122,148)(126,131)(129,135)(130,149)(133,136)
        (134,145)(137,142)(138,141)(140,146)(144,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 73)( 40, 72)( 42, 47)( 43,100)( 46, 76)( 49, 55)( 50,103)( 51, 77)( 53, 59)( 54,107)
        ( 57, 79)( 58,111)( 61, 67)( 62,113)( 63, 95)( 65, 71)( 66,109)( 69, 75)( 70,105)( 74, 99)( 78,101)( 80, 86)
        ( 81,123)( 82,115)( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,117)( 97,139)(102,106)(104,110)
        (108,114)(112,118)(116,119)(120,126)(121,148)(122,140)(124,130)(125,145)(128,134)(129,149)(132,138)(133,150)
        (136,142)(137,151)(141,143)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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, 73)( 40, 72)( 42, 47)( 43,101)( 46, 76)( 49, 55)( 50, 66)( 51, 77)( 53, 59)( 54, 62)
        ( 57, 80)( 58, 97)( 61, 67)( 63, 96)( 65, 71)( 69, 75)( 70, 78)( 74,100)( 79,102)( 81, 87)( 82,111)( 83,103)
        ( 85, 91)( 86,115)( 89, 95)( 90,119)( 93, 99)( 94,123)( 98,106)(104,107)(105,124)(108,114)(109,132)(110,127)
        (112,118)(113,135)(116,122)(117,139)(120,126)(121,143)(125,130)(128,131)(129,144)(133,138)(134,147)(136,142)
        (137,148)(140,146)(141,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39, 73)( 40, 72)( 42, 48)( 43,101)( 46, 76)( 47,104)( 50, 56)( 51,114)( 52, 77)( 54, 59)
        ( 55,118)( 58, 80)( 61, 67)( 62,126)( 63, 96)( 65, 71)( 66,127)( 69, 75)( 70,130)( 74,100)( 78,112)( 79,108)
        ( 81, 87)( 82,138)( 83,119)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93, 99)( 94,147)( 97,122)( 98,144)(102,107)
        (103,131)(105,111)(106,150)(109,116)(110,137)(113,117)(115,121)(120,134)(123,129)(124,152)(125,140)(128,133)
        (132,149)(135,141)(136,151)(139,145)(143,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39, 74)( 40, 73)( 42, 48)( 43,102)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 81)( 59,124)( 62, 68)( 63,132)( 64, 97)( 66, 72)( 67,110)( 70, 76)( 71,106)( 75,101)( 79,112)
        ( 80,108)( 82, 88)( 83,140)( 84,128)( 86, 92)( 87,137)( 90, 96)( 91,141)( 94,100)( 95,145)( 98,114)( 99,149)
        (103,107)(105,111)(109,133)(113,119)(115,134)(117,123)(118,150)(121,127)(122,151)(125,131)(126,147)(129,135)
        (130,143)(136,139)(138,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39, 74)( 40, 73)( 42, 48)( 43,102)( 46, 77)( 47,105)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 81)( 59,124)( 62, 68)( 63,128)( 64, 97)( 66, 72)( 67,132)( 70, 76)( 71,136)( 75,101)( 79,112)
        ( 80,109)( 82, 88)( 83,143)( 84,125)( 86, 92)( 87,148)( 90, 96)( 91,145)( 94,100)( 95,141)( 98,114)( 99,149)
        (103,108)(104,137)(106,111)(107,134)(110,130)(113,119)(115,131)(117,123)(118,150)(121,127)(122,151)(126,139)
        (129,135)(133,138)(140,146)(142,152)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39, 74)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,104)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 81)( 59,123)( 62, 68)( 63,135)( 64, 96)( 66, 72)( 67,139)( 70, 76)( 71,140)( 75,100)( 79,112)
        ( 80,108)( 82, 88)( 83, 98)( 84,127)( 86, 91)( 87, 94)( 90, 95)( 93, 99)( 97,131)(102,107)(103,141)(105,111)
        (106,137)(109,143)(110,133)(113,119)(114,152)(115,144)(117,122)(118,149)(121,126)(124,130)(125,150)(128,134)
        (129,146)(132,138)(136,142)(145,147)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 47)( 43,105)( 46, 76)( 49, 55)( 50,112)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,120)( 61, 67)( 62,110)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,108)( 79,106)
        ( 81, 87)( 82,132)( 83,124)( 85, 91)( 86,135)( 89, 95)( 90,136)( 93, 99)( 94,139)( 97,114)( 98,143)(101,107)
        (102,111)(109,115)(113,119)(117,123)(118,144)(121,127)(122,147)(125,128)(126,152)(129,134)(130,141)(131,149)
        (133,138)(137,142)(140,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,108)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,139)( 64, 96)( 66, 72)( 67,103)( 70, 76)( 71, 75)( 74,100)( 79,116)
        ( 80,112)( 82, 88)( 83, 98)( 84,131)( 86, 91)( 87, 94)( 90, 95)( 93, 99)( 97,135)(101,107)(102,140)(106,111)
        (109,115)(110,141)(113,143)(114,137)(117,122)(118,144)(120,126)(121,148)(124,130)(125,152)(128,134)(129,150)
        (132,138)(133,146)(136,142)(145,147)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 57)( 30, 36)( 31, 87)( 34, 61)
        ( 35, 91)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 77)( 47,111)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,126)( 62, 68)( 63,134)( 64, 95)( 66, 72)( 67,102)( 70, 76)( 71, 75)( 74, 99)( 79,115)
        ( 80,112)( 82, 86)( 84, 90)( 85,127)( 88, 94)( 89,143)( 92, 98)( 93,146)( 96,130)( 97,150)(100,106)(101,135)
        (104,110)(105,136)(108,114)(109,132)(113,138)(116,122)(117,148)(118,139)(120,125)(121,145)(124,129)(128,142)
        (131,137)(133,141)(140,151)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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)( 43,104)( 46, 76)( 47,107)( 50, 55)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62, 74)( 63, 95)( 65, 71)( 66, 70)( 69, 75)( 73, 99)( 78,115)( 79,111)( 81, 87)
        ( 82,135)( 83,123)( 85, 90)( 86,139)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,143)(100,106)(101,147)(105,110)
        (108,114)(109,148)(112,127)(113,134)(117,122)(118,128)(120,126)(121,152)(124,131)(125,130)(129,151)(132,138)
        (133,149)(136,142)(137,145)(141,146)(144,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,123)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,125)( 62, 68)( 63, 75)( 64, 97)( 66, 72)( 67, 71)( 70, 76)( 74,101)( 79,119)( 80,116)
        ( 82, 88)( 83,133)( 84,121)( 86, 92)( 87,134)( 90, 96)( 91,137)( 94,100)( 95,141)( 98,104)( 99,142)(102,107)
        (103,145)(106,111)(109,115)(110,146)(113,118)(114,149)(117,129)(120,126)(122,130)(124,127)(131,136)(132,150)
        (135,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,124)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,122)( 62, 68)( 63, 67)( 64, 97)( 66, 72)( 70, 76)( 71, 98)( 74,101)( 75,131)( 79,120)
        ( 80,116)( 82, 88)( 83,137)( 84,127)( 86, 92)( 87,141)( 90, 96)( 91,145)( 94,100)( 95,149)( 99,134)(102,107)
        (103,132)(105,111)(106,151)(109,115)(110,147)(113,119)(114,143)(117,129)(118,139)(121,126)(123,130)(128,135)
        (133,150)(136,140)(138,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,125)( 52, 78)( 54, 60)
        ( 55,122)( 58, 81)( 59,126)( 62, 68)( 63, 67)( 64, 97)( 66, 72)( 70, 76)( 71, 98)( 74,101)( 75,133)( 79,120)
        ( 80,116)( 82, 88)( 83,138)( 84,130)( 86, 92)( 87,141)( 90, 96)( 91,145)( 94,100)( 95,149)( 99,136)(102,107)
        (103,134)(105,111)(106,151)(109,115)(110,147)(113,119)(114,143)(117,128)(118,140)(121,124)(123,129)(127,132)
        (131,137)(135,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 89)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 74)( 40, 73)( 42, 48)( 43, 91)( 46, 77)( 47, 94)( 50, 56)( 51,102)( 52, 78)( 54, 60)
        ( 55,106)( 58, 80)( 59,110)( 62, 68)( 63,118)( 64, 82)( 66, 72)( 67,122)( 70, 76)( 71,126)( 75, 90)( 79, 98)
        ( 81, 87)( 83,114)( 85, 88)( 92, 97)( 93,127)( 95,101)( 96,131)( 99,105)(100,134)(103,109)(104,137)(107,113)
        (108,141)(111,117)(112,142)(115,121)(116,145)(119,125)(120,146)(123,129)(124,149)(128,130)(132,136)(133,150)
        (135,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,121)( 52, 77)( 54, 60)
        ( 55,125)( 58, 81)( 59, 80)( 62, 68)( 63,133)( 64, 96)( 66, 71)( 67,134)( 70, 75)( 73,100)( 74,135)( 78,119)
        ( 79,115)( 82, 87)( 83,126)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,129)( 98,149)(101,106)
        (102,131)(104,110)(105,151)(108,114)(109,147)(112,118)(113,143)(116,123)(117,140)(120,124)(122,128)(127,137)
        (130,136)(132,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)(119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 76)( 47,112)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,126)( 58, 81)( 59, 80)( 62, 68)( 63,131)( 64, 96)( 66, 72)( 67,133)( 70, 75)( 71,103)( 74,100)( 78,120)
        ( 79,116)( 82, 87)( 83,127)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,130)( 98,149)(101,107)
        (102,134)(105,111)(106,151)(109,115)(110,147)(113,119)(114,143)(117,124)(118,140)(121,125)(123,129)(128,137)
        (132,136)(135,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,121)( 52, 77)( 54, 60)
        ( 55,125)( 58, 81)( 59, 80)( 62, 68)( 63,130)( 64, 96)( 66, 72)( 67,131)( 70, 75)( 71,133)( 74,100)( 78,119)
        ( 79,115)( 82, 87)( 83,126)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,129)( 98,149)(101,106)
        (102,134)(104,110)(105,151)(108,114)(109,147)(112,118)(113,143)(116,123)(117,140)(120,124)(122,128)(127,137)
        (132,136)(135,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)(119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,103)( 40, 73)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 56)( 51,120)( 52, 77)( 54, 60)
        ( 55,123)( 58, 81)( 59, 80)( 62, 68)( 63,132)( 64, 96)( 66, 72)( 67,129)( 70, 75)( 71,133)( 74,100)( 78,119)
        ( 79,115)( 82, 87)( 83,124)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,127)( 98,149)(101,106)
        (102,134)(104,110)(105,151)(108,114)(109,147)(112,118)(113,143)(116,122)(117,140)(121,126)(125,137)(128,131)
        (130,136)(135,150)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 72)( 42, 48)( 43,100)( 46, 76)( 47,104)( 50, 56)( 51,114)( 52, 77)( 54, 60)
        ( 55,118)( 59, 80)( 62, 68)( 63,126)( 64, 88)( 66, 71)( 67,130)( 70, 75)( 73, 92)( 74,131)( 78,112)( 79,108)
        ( 82, 87)( 83,119)( 85, 91)( 86,135)( 89,122)( 90,138)( 93, 99)( 94,146)( 95,132)( 97,103)( 98,149)(101,107)
        (102,144)(105,111)(106,140)(109,116)(110,137)(113,117)(115,121)(120,134)(123,129)(124,151)(125,142)(127,133)
        (128,148)(136,141)(139,145)(143,150)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), 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, 81)( 34, 61)
        ( 35, 84)( 38, 44)( 39, 95)( 40, 72)( 42, 48)( 43, 99)( 46, 76)( 47,103)( 50, 56)( 51,113)( 52, 77)( 54, 60)
        ( 55,117)( 59, 80)( 62, 68)( 63,125)( 64, 88)( 66, 71)( 67,129)( 70, 75)( 73, 92)( 74,130)( 78,111)( 79,107)
        ( 82, 87)( 83,118)( 85, 91)( 86,138)( 89,121)( 90,141)( 93, 98)( 94,133)( 96,102)( 97,150)(100,106)(101,147)
        (104,110)(105,143)(108,115)(109,140)(112,116)(114,120)(119,137)(122,128)(123,152)(124,145)(126,132)(127,135)
        (131,136)(134,149)(139,144)(142,148)(146,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,105)( 50, 56)( 51,115)( 52, 78)( 54, 60)
        ( 55,119)( 59, 81)( 62, 68)( 63,127)( 64, 89)( 66, 72)( 67,131)( 70, 76)( 71,132)( 74, 93)( 75,133)( 79,113)
        ( 80,109)( 83, 88)( 84,120)( 86, 92)( 87,136)( 90,123)( 91,139)( 94,100)( 95,147)( 96,129)( 98,104)( 99,150)
        (102,108)(103,145)(106,112)(107,141)(110,117)(111,138)(114,118)(116,122)(121,135)(124,130)(125,149)(126,143)
        (128,134)(137,142)(140,146)(144,151)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 58)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 73)( 42, 48)( 43,101)( 46, 77)( 47,105)( 50, 56)( 51,114)( 52, 78)( 54, 60)
        ( 55,117)( 59, 81)( 62, 68)( 63,125)( 64, 89)( 66, 72)( 67,129)( 70, 76)( 71,134)( 74, 93)( 75,131)( 79,113)
        ( 80,109)( 83, 88)( 84,118)( 86, 92)( 87,136)( 90,121)( 91,139)( 94,100)( 95,147)( 96,127)( 98,104)( 99,150)
        (102,108)(103,145)(106,112)(107,141)(110,116)(111,138)(115,120)(119,135)(122,128)(123,149)(124,143)(126,132)
        (130,133)(137,142)(140,146)(144,151)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 68)( 42, 47)( 43,104)( 46, 72)( 49, 55)( 50, 79)( 51, 73)( 53, 59)( 54, 58)
        ( 57, 76)( 61, 67)( 62,116)( 63, 92)( 66, 71)( 69, 96)( 70,117)( 74,108)( 75,105)( 77, 83)( 78,109)( 81, 87)
        ( 82,126)( 85, 91)( 86,130)( 89, 95)( 90,134)( 93,112)( 94,138)( 97,103)( 98,114)( 99,121)(101,107)(102,143)
        (106,122)(110,129)(111,123)(113,119)(115,142)(118,120)(124,146)(125,144)(127,133)(128,147)(131,137)(132,150)
        (135,141)(136,151)(139,145)(140,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,123)( 64, 96)( 66, 72)( 67,124)( 70, 76)( 71,127)( 74,100)( 75,132)( 80,116)
        ( 82, 88)( 83,133)( 84,117)( 86, 91)( 87,137)( 90, 95)( 93, 99)( 94,138)( 97,119)( 98,141)(101,107)(102,121)
        (103,129)(105,111)(106,146)(109,115)(110,149)(113,118)(114,136)(120,126)(122,145)(125,130)(128,131)(134,140)
        (135,150)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,123)( 64, 96)( 66, 72)( 67,124)( 70, 76)( 71,127)( 74,100)( 75,132)( 80,116)
        ( 82, 88)( 83,133)( 84,117)( 86, 92)( 87,137)( 90, 95)( 91,141)( 94, 99)( 97,119)( 98,142)(101,107)(102,121)
        (103,129)(105,111)(106,146)(109,115)(110,149)(113,118)(114,136)(120,126)(122,145)(125,130)(128,131)(134,140)
        (135,150)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 49)( 24, 45)( 26, 32)( 27, 72)( 28, 47)( 30, 36)( 31, 76)( 34, 56)
        ( 35, 79)( 38, 44)( 39, 91)( 40, 68)( 42, 48)( 43, 75)( 46, 53)( 50, 55)( 51, 54)( 57, 63)( 58, 99)( 59, 83)
        ( 61, 67)( 62,103)( 65, 71)( 66,107)( 69, 87)( 70,111)( 73, 78)( 74, 92)( 77, 82)( 80, 86)( 81, 93)( 84, 95)
        ( 85, 89)( 88, 94)( 90,115)( 96,102)( 97,123)( 98,116)(100,106)(101,127)(104,110)(105,131)(108,114)(109,132)
        (112,118)(113,135)(117,119)(120,126)(121,143)(122,136)(124,130)(125,147)(128,134)(129,142)(133,138)(137,139)
        (140,146)(141,148)(144,150)(145,152)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 58)( 16, 33)( 18, 37)( 19, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 70)( 28, 47)( 30, 36)( 31, 71)( 34, 54)
        ( 35, 74)( 38, 44)( 39, 76)( 40, 66)( 42, 48)( 43, 73)( 46, 52)( 50, 53)( 55, 61)( 56, 86)( 57, 78)( 59, 65)
        ( 60, 90)( 63, 69)( 64, 94)( 67, 80)( 68, 98)( 72, 77)( 75, 81)( 79, 82)( 83, 89)( 84,106)( 85, 99)( 87, 93)
        ( 88,110)( 91, 97)( 92,114)( 95,101)( 96,118)(100,102)(103,109)(104,126)(105,119)(107,113)(108,130)(111,117)
        (112,134)(115,121)(116,138)(120,122)(123,129)(124,141)(125,139)(127,133)(128,145)(131,137)(132,149)(135,140)
        (136,144)(142,148)(143,150)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 39,101)( 40, 73)( 42, 48)( 43,104)( 46, 77)( 47, 76)( 50, 56)( 51,108)( 52, 78)( 54, 60)
        ( 55,112)( 58, 80)( 59,116)( 62, 68)( 63,128)( 64, 96)( 66, 72)( 67,132)( 70, 75)( 71,136)( 74,100)( 79,105)
        ( 81, 87)( 82,144)( 83,120)( 85, 91)( 86,145)( 89, 95)( 90,142)( 93, 99)( 94,147)( 97,124)( 98,152)(102,107)
        (103,137)(106,111)(109,115)(110,138)(113,119)(114,134)(117,123)(118,130)(121,140)(122,126)(125,131)(127,149)
        (129,135)(133,139)(141,146)(143,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), 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, 79)( 40, 73)( 42, 48)( 43, 47)( 46, 76)( 50, 56)( 51,103)( 52, 77)( 54, 60)( 55,107)
        ( 58, 80)( 59,111)( 62, 68)( 63,113)( 64, 96)( 66, 72)( 67,109)( 70, 75)( 71,105)( 74,100)( 78,101)( 81, 87)
        ( 82,123)( 83,115)( 85, 91)( 86,127)( 89, 95)( 90,131)( 93, 99)( 94,135)( 97,117)( 98,139)(102,106)(104,110)
        (108,114)(112,118)(116,119)(120,126)(121,144)(122,140)(124,130)(125,145)(128,134)(129,147)(132,138)(133,152)
        (136,142)(137,149)(141,143)(146,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 79)( 40, 73)( 42, 48)( 43, 47)( 46, 76)( 50, 56)( 51,103)( 52, 77)( 54, 60)( 55,107)
        ( 58, 80)( 59,111)( 62, 68)( 63,113)( 64, 96)( 66, 72)( 67,109)( 70, 75)( 71,105)( 74,100)( 78,101)( 81, 87)
        ( 82,123)( 83,115)( 85, 91)( 86,127)( 89, 95)( 90,131)( 93, 99)( 94,135)( 97,117)( 98,139)(102,106)(104,110)
        (108,114)(112,118)(116,119)(120,126)(121,148)(122,140)(124,130)(125,145)(128,134)(129,149)(132,138)(133,150)
        (136,142)(137,151)(141,143)(144,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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, 51)( 16, 33)( 18, 37)( 19, 47)( 23, 45)( 24, 42)( 26, 32)( 27, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 55)
        ( 35, 69)( 38, 44)( 39, 43)( 40, 48)( 46, 52)( 50, 56)( 54, 57)( 58, 64)( 59, 77)( 60, 70)( 62, 68)( 63, 81)
        ( 66, 72)( 67, 85)( 71, 73)( 74, 80)( 75, 93)( 76, 86)( 78, 84)( 79, 97)( 82, 88)( 83,101)( 87, 89)( 90, 96)
        ( 91,109)( 92,102)( 94,100)( 95,113)( 98,104)( 99,117)(103,105)(106,112)(107,125)(108,118)(110,116)(111,129)
        (114,120)(115,133)(119,121)(122,128)(123,140)(124,134)(126,132)(127,144)(130,136)(131,147)(135,137)(138,143)
        (139,148)(141,146)(142,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 43)( 40, 69)( 42, 48)( 46, 52)( 47, 70)( 50, 56)( 51, 93)( 54, 60)( 55, 97)( 58, 73)
        ( 59,101)( 62, 68)( 63, 95)( 64, 89)( 67, 72)( 71, 96)( 74, 80)( 75,113)( 76,105)( 78, 84)( 79,116)( 82, 88)
        ( 83,120)( 86, 92)( 87,124)( 90, 99)( 91,128)( 94,100)( 98,104)(102,108)(103,129)(106,109)(107,132)(110,115)
        (111,142)(112,136)(114,119)(117,123)(118,143)(121,127)(122,146)(125,131)(126,150)(130,135)(133,139)(134,151)
        (137,140)(138,148)(141,145)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 81)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 42)( 39, 72)( 41, 47)( 45, 76)( 46, 73)( 49, 55)( 50,100)( 51, 77)( 53, 59)( 54,101)( 57, 80)
        ( 58,104)( 61, 67)( 62,116)( 63, 88)( 65, 71)( 66,117)( 69, 75)( 70,120)( 74, 95)( 78, 96)( 79, 92)( 82, 87)
        ( 83,108)( 85, 91)( 86,129)( 89,112)( 90,132)( 93,124)( 94,121)( 97,103)( 98,143)( 99,125)(102,107)(105,111)
        (106,144)(109,128)(110,147)(113,119)(114,141)(115,136)(118,123)(122,142)(126,137)(127,140)(130,135)(131,152)
        (133,139)(134,149)(138,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39, 43)( 40, 72)( 42, 48)( 46, 76)( 47, 73)( 50, 55)( 51,107)( 52, 77)( 54, 59)( 57, 80)
        ( 58,108)( 61, 67)( 62,116)( 63, 95)( 65, 71)( 66,119)( 69, 75)( 70,120)( 74,102)( 78,103)( 79, 99)( 81, 86)
        ( 82,111)( 84, 90)( 85,128)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,115)( 97,139)(100,123)(101,121)(104,110)
        (105,143)(106,124)(109,114)(112,127)(113,144)(117,122)(118,126)(125,140)(129,134)(130,147)(132,138)(133,152)
        (136,142)(137,149)(141,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 87)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51, 97)( 52, 78)( 54, 60)( 55,101)
        ( 58, 81)( 59,105)( 62, 68)( 63,113)( 64, 83)( 66, 72)( 67,117)( 70, 76)( 71,121)( 75, 92)( 79, 93)( 80, 89)
        ( 82, 88)( 84,109)( 90,125)( 91,122)( 94,100)( 95,137)( 96,126)( 98,104)( 99,142)(102,108)(103,139)(106,112)
        (107,135)(110,116)(111,143)(114,120)(115,147)(118,124)(119,150)(123,132)(127,133)(128,129)(130,145)(131,151)
        (134,140)(136,146)(138,141)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 89)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51,105)( 52, 78)( 54, 60)( 55,109)
        ( 58, 81)( 59,113)( 62, 68)( 63,125)( 64, 93)( 66, 72)( 67,129)( 70, 76)( 71,132)( 75,100)( 79,101)( 80, 97)
        ( 82, 88)( 83, 91)( 84,117)( 87, 92)( 90, 96)( 94,121)( 95,118)( 98,136)( 99,133)(102,108)(103,141)(104,137)
        (106,112)(107,147)(110,116)(111,152)(114,120)(115,149)(119,143)(122,128)(123,138)(124,140)(126,131)(127,145)
        (130,135)(134,146)(139,144)(142,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), 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, 90)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51, 99)( 52, 78)( 54, 60)( 55,103)
        ( 58, 81)( 59,107)( 62, 68)( 63,115)( 64, 83)( 66, 72)( 67,119)( 70, 76)( 71,123)( 75, 94)( 79, 95)( 80, 91)
        ( 82, 88)( 84,111)( 86, 89)( 92,127)( 93,124)( 96,102)( 97,139)( 98,128)(100,106)(101,140)(104,110)(105,141)
        (108,114)(109,137)(112,118)(113,143)(116,122)(117,147)(120,126)(121,150)(125,134)(129,135)(130,131)(132,145)
        (133,151)(136,142)(138,146)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), 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)( 82,112)( 86, 91)
        ( 89, 95)( 90,113)( 93, 99)( 94,116)( 97,100)( 98,120)(101,107)(102,132)(103,124)(105,111)(106,136)(109,115)
        (110,139)(114,119)(117,123)(118,140)(121,127)(122,143)(125,128)(126,147)(129,135)(130,149)(131,152)(133,138)
        (134,145)(137,142)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 47)( 16, 33)( 18, 37)( 19, 57)( 23, 45)( 24, 42)( 26, 32)( 27, 68)( 28, 53)( 30, 36)( 31, 72)( 34, 51)
        ( 35, 76)( 38, 44)( 39, 63)( 40, 62)( 43, 59)( 46, 52)( 48, 60)( 50, 56)( 54, 64)( 55, 77)( 58, 61)( 65, 71)
        ( 66, 88)( 67, 80)( 69, 75)( 70, 92)( 73, 79)( 74, 96)( 78, 83)( 81, 84)( 82, 97)( 85, 91)( 86,108)( 87,100)
        ( 89, 95)( 90,112)( 93, 99)( 94,116)( 98,103)(101,104)(102,117)(105,111)(106,127)(107,120)(109,115)(110,131)
        (113,119)(114,135)(118,123)(121,124)(122,136)(125,130)(126,139)(128,134)(129,144)(132,138)(133,147)(137,142)
        (140,143)(141,148)(145,150)(146,152)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 81)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 89)( 38, 43)( 39, 98)( 40, 73)( 42, 47)( 45, 74)( 46, 99)( 49, 55)( 50,105)( 51, 75)( 53, 59)( 54,109)
        ( 57, 77)( 58,113)( 61, 67)( 62,107)( 63, 93)( 65, 71)( 66,103)( 69, 72)( 70, 97)( 76,101)( 78, 84)( 79,125)
        ( 80,117)( 82, 88)( 83,129)( 86, 92)( 87,133)( 90, 96)( 91,137)( 94,111)( 95,141)(100,104)(102,108)(106,112)
        (110,116)(114,120)(115,142)(118,121)(119,145)(122,128)(123,127)(124,149)(126,132)(130,136)(131,150)(134,140)
        (135,151)(138,144)(139,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 73)( 42, 47)( 43,102)( 46, 74)( 49, 55)( 50,109)( 51, 75)( 53, 59)( 54,113)
        ( 57, 78)( 58,117)( 61, 67)( 62,111)( 63, 94)( 65, 71)( 66,107)( 69, 72)( 70, 98)( 76,105)( 77,103)( 79, 85)
        ( 80,129)( 81,121)( 83, 89)( 84,130)( 87, 93)( 88,133)( 91, 97)( 92,137)( 95,115)( 96,141)(100,104)(101,108)
        (106,112)(110,116)(114,120)(118,124)(119,142)(122,125)(123,145)(126,132)(127,135)(128,149)(131,136)(134,140)
        (138,144)(139,150)(143,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 73)( 42, 47)( 43,102)( 46, 74)( 49, 55)( 50,109)( 51, 75)( 53, 59)( 54,113)
        ( 57, 78)( 58,117)( 61, 67)( 62,111)( 63, 94)( 65, 71)( 66,107)( 69, 72)( 70, 98)( 76,105)( 77,103)( 79, 85)
        ( 80,129)( 81,121)( 83, 89)( 84,133)( 87, 93)( 88,137)( 91, 97)( 92,141)( 95,115)( 96,145)(100,104)(101,108)
        (106,112)(110,116)(114,120)(118,124)(119,146)(122,125)(123,149)(126,132)(127,139)(128,150)(130,136)(131,135)
        (134,140)(138,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 82)( 28, 56)( 30, 36)( 31, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,102)( 46, 74)( 47,106)( 50, 55)( 51, 75)( 53, 59)( 54,114)
        ( 57, 78)( 58,117)( 61, 67)( 62,129)( 63, 94)( 65, 71)( 66,133)( 69, 72)( 70, 98)( 76,113)( 77,109)( 79, 85)
        ( 80, 92)( 81,121)( 83, 89)( 84, 88)( 87, 93)( 91, 97)( 95,125)( 96,122)(100,105)(101,134)(103,108)(104,146)
        (107,112)(110,137)(111,147)(115,120)(116,138)(118,124)(119,143)(123,144)(126,132)(127,150)(128,141)(130,136)
        (131,151)(135,145)(139,142)(140,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 73)( 42, 48)( 43, 97)( 46, 74)( 47,101)( 50, 55)( 51,113)( 52, 75)( 54, 59)
        ( 57, 78)( 58,114)( 61, 67)( 62,125)( 63, 90)( 65, 71)( 66,129)( 69, 72)( 70, 93)( 76,109)( 77,105)( 79, 85)
        ( 80,141)( 81,117)( 84, 89)( 87, 92)( 88,142)( 91,121)( 95,100)( 96,130)( 98,104)( 99,146)(102,108)(103,149)
        (106,133)(107,140)(110,116)(111,135)(112,134)(115,120)(118,137)(119,136)(122,128)(123,151)(124,143)(126,132)
        (127,148)(131,145)(138,144)(139,150)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 89)( 38, 44)( 39, 94)( 40, 73)( 42, 48)( 43, 97)( 46, 74)( 47,101)( 50, 55)( 51,113)( 52, 75)( 54, 59)
        ( 57, 78)( 58,114)( 61, 67)( 62,125)( 63, 90)( 65, 71)( 66,129)( 69, 72)( 70, 93)( 76,109)( 77,105)( 79, 84)
        ( 80,141)( 81,117)( 83, 88)( 86, 92)( 87,142)( 91,121)( 95,100)( 96,130)( 98,104)( 99,146)(102,108)(103,149)
        (106,133)(107,140)(110,116)(111,135)(112,134)(115,120)(118,137)(119,136)(122,128)(123,151)(124,143)(126,132)
        (127,148)(131,145)(138,144)(139,150)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)
        ( 55,117)( 58, 79)( 59,121)( 62, 68)( 63,133)( 64, 90)( 66, 72)( 67,137)( 70, 73)( 71, 94)( 77,110)( 78,106)
        ( 80, 86)( 81, 92)( 82,125)( 85, 89)( 88, 93)( 91,129)( 96,101)( 97,138)( 99,105)(100,139)(103,109)(104,135)
        (107,141)(108,131)(111,116)(112,149)(113,142)(115,120)(118,124)(119,150)(122,128)(123,148)(126,132)(127,144)
        (130,136)(134,140)(143,145)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)
        ( 55,117)( 58, 79)( 59,121)( 62, 68)( 63,133)( 64, 90)( 66, 72)( 67,137)( 70, 73)( 71, 94)( 77,110)( 78,106)
        ( 80, 85)( 81, 92)( 82,125)( 84, 89)( 88, 93)( 91,129)( 96,101)( 97,138)( 99,105)(100,139)(103,109)(104,135)
        (107,141)(108,131)(111,116)(112,149)(113,142)(115,120)(118,124)(119,150)(122,128)(123,148)(126,132)(127,144)
        (130,136)(134,140)(143,145)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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)( 39,100)( 40, 74)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,121)( 58, 80)( 59, 79)( 62, 68)( 63,129)( 64, 95)( 66, 72)( 67,130)( 70, 73)( 71, 99)( 77,114)( 78,111)
        ( 81, 86)( 82,122)( 84, 90)( 85,138)( 88, 94)( 89,141)( 92, 98)( 93,145)( 96,125)( 97,146)(101,106)(102,131)
        (104,110)(105,127)(108,113)(109,150)(112,133)(115,120)(116,140)(117,134)(119,124)(123,137)(126,132)(128,149)
        (135,143)(136,151)(139,144)(142,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 47)( 24, 43)( 26, 32)( 27, 74)( 28, 55)( 30, 36)( 31, 78)( 34, 59)
        ( 35, 82)( 38, 42)( 40, 46)( 41, 67)( 44, 50)( 45, 91)( 48, 54)( 49, 94)( 52, 58)( 53, 98)( 56, 70)( 57,102)
        ( 60, 65)( 61, 93)( 62, 86)( 64, 69)( 68, 90)( 71, 77)( 72,114)( 73,106)( 75, 81)( 76,118)( 79, 85)( 80,121)
        ( 83, 89)( 84,125)( 87, 96)( 88,129)( 92, 97)( 95,101)( 99,105)(100,130)(103,109)(104,133)(107,110)(108,137)
        (111,117)(112,142)(113,141)(115,120)(116,146)(119,124)(122,128)(123,147)(126,132)(127,149)(131,136)(134,140)
        (135,150)(138,144)(139,151)(143,145)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 96,126)( 97,118)( 99,105)(100,130)(103,109)(104,134)(108,113)(111,117)
        (112,135)(115,121)(116,138)(119,122)(120,142)(123,129)(124,146)(125,145)(127,133)(128,150)(131,137)(132,151)
        (136,141)(139,144)(140,152)(143,148)(147,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 43)( 26, 32)( 27, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 40, 46)( 41, 68)( 44, 70)( 45, 65)( 48, 54)( 49, 98)( 50, 71)( 52, 58)( 53,102)( 56, 74)
        ( 57,106)( 60, 66)( 61, 73)( 62, 90)( 64, 69)( 72, 94)( 75, 81)( 76,118)( 77,110)( 79, 85)( 80,122)( 83, 89)
        ( 84,126)( 87, 93)( 88,130)( 91, 97)( 92,134)( 95,101)( 96,135)( 99,105)(100,138)(103,109)(104,141)(107,113)
        (108,145)(111,114)(112,149)(115,121)(116,120)(117,150)(119,125)(123,129)(124,151)(127,133)(128,147)(131,137)
        (132,143)(136,140)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 43)( 26, 32)( 27, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 40, 46)( 41, 68)( 44, 70)( 45, 65)( 48, 54)( 49, 98)( 50, 71)( 52, 58)( 53,102)( 56, 74)
        ( 57,106)( 60, 66)( 61, 73)( 62, 90)( 64, 69)( 72, 94)( 75, 81)( 76,118)( 77,110)( 79, 85)( 80,122)( 83, 89)
        ( 84,126)( 87, 93)( 88,130)( 91, 97)( 92,134)( 95,101)( 96,137)( 99,105)(100,138)(103,109)(104,141)(107,113)
        (108,145)(111,114)(112,149)(115,121)(116,120)(117,150)(119,125)(123,129)(124,151)(127,133)(128,147)(131,136)
        (132,143)(135,140)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 76,106)( 77, 98)( 79, 85)( 80,110)( 83, 89)( 84,114)
        ( 87, 93)( 88,118)( 92, 97)( 95,101)( 96,119)( 99,102)(100,122)(103,109)(104,131)(105,126)(107,113)(108,134)
        (111,117)(112,137)(115,121)(116,141)(120,125)(123,129)(124,142)(127,130)(128,145)(132,136)(133,149)(135,140)
        (138,144)(139,150)(143,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 66)( 23, 47)( 24, 43)( 26, 32)( 27, 78)( 28, 55)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 42)( 40, 46)( 41, 67)( 44, 70)( 45, 95)( 48, 54)( 49,106)( 50, 71)( 52, 58)( 53,110)( 56, 74)
        ( 57,114)( 60, 65)( 61, 97)( 62, 90)( 64, 69)( 68, 94)( 72,102)( 73, 98)( 75, 81)( 76,125)( 77,115)( 79, 85)
        ( 80,129)( 83, 89)( 84,133)( 87, 93)( 88,137)( 91,100)( 92,141)( 96,101)( 99,118)(103,109)(104,145)(105,119)
        (107,113)(108,146)(111,117)(112,149)(116,121)(120,142)(122,128)(123,135)(124,150)(126,132)(127,131)(130,136)
        (134,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 49,103)( 50, 72)( 52, 58)( 53,107)( 56, 75)
        ( 57,111)( 60, 66)( 61,101)( 62, 91)( 64, 70)( 65,119)( 69, 95)( 73, 99)( 74, 97)( 76, 82)( 77,126)( 78,115)
        ( 80, 86)( 81,130)( 84, 90)( 85,134)( 88, 94)( 89,138)( 92,105)( 93,142)( 98,120)(100,106)(102,121)(104,110)
        (108,114)(109,143)(112,118)(113,146)(116,122)(117,147)(123,129)(124,136)(125,150)(127,133)(128,132)(131,137)
        (135,141)(139,145)(140,151)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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, 82)( 34, 59)
        ( 35, 85)( 38, 42)( 40, 46)( 41, 68)( 44, 71)( 45, 94)( 48, 54)( 49,105)( 50, 72)( 52, 58)( 53,109)( 56, 75)
        ( 57,113)( 60, 66)( 61,125)( 62, 89)( 64, 70)( 65,129)( 69, 93)( 73,101)( 74, 97)( 76, 81)( 77, 87)( 78,117)
        ( 80, 84)( 83, 88)( 86, 92)( 90,121)( 91,118)( 95,100)( 96,130)( 98,133)( 99,142)(102,108)(103,138)(104,134)
        (106,112)(107,149)(110,116)(111,150)(114,120)(115,151)(119,140)(122,128)(123,135)(124,137)(126,132)(127,146)
        (131,141)(136,145)(139,152)(143,148)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 49,107)( 50, 72)( 52, 58)( 53,110)( 56, 75)
        ( 57,114)( 60, 66)( 61,126)( 62, 91)( 64, 70)( 65,130)( 69, 95)( 73,103)( 74, 99)( 76, 82)( 77, 89)( 78,118)
        ( 80, 86)( 81, 85)( 84, 90)( 88, 94)( 92,122)( 93,119)( 97,102)( 98,131)(100,134)(101,143)(104,109)(105,149)
        (106,135)(108,113)(111,117)(112,150)(115,121)(116,151)(120,141)(123,129)(124,146)(125,138)(127,133)(128,147)
        (132,142)(136,139)(137,145)(140,152)(144,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 49,107)( 50, 72)( 52, 58)( 53,111)( 56, 75)
        ( 57,115)( 60, 66)( 61,127)( 62, 91)( 64, 70)( 65,131)( 69, 95)( 73,103)( 74, 99)( 76, 82)( 77, 89)( 78,119)
        ( 80, 86)( 81, 85)( 84, 90)( 88, 94)( 92,123)( 93,120)( 97,102)( 98,132)(100,135)(101,144)(104,110)(105,140)
        (106,136)(108,114)(109,149)(112,118)(113,150)(116,122)(117,151)(121,142)(124,130)(125,137)(126,139)(128,134)
        (129,147)(133,143)(138,146)(141,152)(145,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152) ), 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, 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)( 96,125)( 97,118)( 99,105)(100,129)(103,109)(104,133)(108,113)(111,117)
        (112,134)(115,121)(116,137)(119,122)(120,141)(123,128)(124,145)(126,132)(127,150)(130,136)(131,151)(135,140)
        (138,144)(139,152)(142,148)(143,147)(146,149),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 44)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 43)( 39, 94)( 40, 66)( 42, 47)( 45, 70)( 46, 95)( 49, 55)( 50,106)( 51, 71)( 53, 59)( 54,110)
        ( 57, 74)( 58,113)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,102)( 73, 98)( 75, 81)( 76,125)( 77,117)( 79, 85)
        ( 80,129)( 83, 89)( 84,133)( 87, 93)( 88,137)( 91,100)( 92,141)( 96,101)( 99,105)(103,109)(104,142)(107,112)
        (108,145)(111,116)(114,120)(115,146)(118,121)(119,149)(122,128)(123,135)(124,150)(126,132)(127,131)(130,136)
        (134,140)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 48)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 66)( 42, 47)( 43, 98)( 46, 70)( 49, 55)( 50,106)( 51, 71)( 53, 59)( 54,110)
        ( 57, 74)( 58,114)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,102)( 73, 99)( 75, 81)( 76,130)( 77,118)( 79, 85)
        ( 80,134)( 83, 89)( 84,135)( 87, 93)( 88,138)( 91,122)( 92,142)( 95,101)( 96,123)(100,124)(103,109)(104,143)
        (105,125)(107,113)(108,146)(111,117)(112,129)(115,121)(116,120)(119,126)(127,133)(128,147)(131,137)(132,150)
        (136,141)(139,145)(140,151)(144,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 57)( 30, 36)( 31, 78)( 34, 61)
        ( 35, 82)( 38, 44)( 39, 90)( 40, 67)( 42, 48)( 43, 94)( 46, 71)( 47, 95)( 50, 56)( 51,102)( 52, 72)( 54, 60)
        ( 55,106)( 58, 74)( 59,110)( 62, 68)( 63, 93)( 64, 86)( 66, 69)( 73, 98)( 76, 81)( 77,114)( 79, 85)( 80,122)
        ( 83, 89)( 84,125)( 87,117)( 88,129)( 91, 97)( 92,118)( 96,101)( 99,105)(100,119)(103,109)(104,134)(107,113)
        (108,137)(111,116)(112,141)(115,121)(120,133)(123,128)(124,142)(126,132)(127,146)(130,136)(131,149)(135,140)
        (138,144)(139,150)(143,145)(147,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 78)( 34, 60)
        ( 35, 82)( 38, 44)( 39, 89)( 40, 66)( 42, 48)( 43, 93)( 46, 70)( 47, 97)( 50, 55)( 51, 71)( 53, 59)( 54,106)
        ( 57, 74)( 58,109)( 61, 67)( 62, 92)( 63, 86)( 65, 68)( 72,105)( 73,101)( 76, 81)( 77,113)( 79, 85)( 80,126)
        ( 83, 88)( 84,129)( 87,117)( 90, 96)( 91,118)( 94,100)( 95,133)( 98,104)( 99,134)(102,121)(103,137)(107,112)
        (108,122)(110,116)(111,146)(114,125)(115,149)(119,136)(120,130)(123,145)(124,141)(127,132)(128,143)(131,139)
        (135,140)(138,144)(142,150)(147,152)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 66)( 42, 48)( 43, 98)( 46, 70)( 47,101)( 50, 55)( 51, 71)( 53, 59)( 54,110)
        ( 57, 74)( 58,113)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,109)( 73,105)( 75, 81)( 76,129)( 77,114)( 79, 85)
        ( 80,133)( 83, 89)( 84,137)( 87, 93)( 88,141)( 91,117)( 92,145)( 95,100)( 96,118)( 99,104)(102,108)(103,119)
        (106,121)(107,150)(111,116)(112,122)(115,125)(120,149)(123,128)(124,151)(126,132)(127,147)(130,136)(131,143)
        (134,140)(135,139)(138,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 66)( 42, 48)( 43, 98)( 46, 70)( 47,102)( 50, 55)( 51,114)( 52, 71)( 54, 59)
        ( 57, 74)( 58,115)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,110)( 73,106)( 75, 81)( 76,134)( 77,118)( 79, 85)
        ( 80,138)( 83, 89)( 84,139)( 87, 93)( 88,142)( 91,122)( 92,145)( 95,101)( 96,123)( 99,105)(100,124)(103,109)
        (104,150)(107,126)(108,133)(111,117)(112,128)(113,127)(116,121)(119,130)(120,129)(125,149)(131,137)(132,151)
        (135,141)(136,147)(140,144)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 66)( 42, 48)( 43, 98)( 46, 70)( 47,102)( 50, 55)( 51,114)( 52, 71)( 54, 59)
        ( 57, 74)( 58,115)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,110)( 73,106)( 75, 81)( 76,134)( 77,118)( 79, 85)
        ( 80,138)( 83, 89)( 84,141)( 87, 93)( 88,142)( 91,122)( 92,145)( 95,101)( 96,123)( 99,105)(100,124)(103,109)
        (104,150)(107,126)(108,133)(111,117)(112,128)(113,127)(116,121)(119,130)(120,129)(125,149)(131,137)(132,151)
        (135,140)(136,147)(139,144)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,102)( 50, 56)( 51,113)( 52, 72)( 54, 60)
        ( 55,114)( 58, 75)( 59,117)( 62, 68)( 63, 98)( 64, 91)( 66, 69)( 73,109)( 74,106)( 76, 82)( 77,133)( 78,118)
        ( 80, 86)( 81,137)( 84, 90)( 85,141)( 88, 94)( 89,145)( 92,121)( 93,149)( 96,101)( 97,122)(100,105)(103,108)
        (104,123)(107,125)(110,116)(111,132)(112,126)(115,120)(119,129)(124,128)(127,150)(130,136)(131,151)(134,140)
        (135,147)(138,144)(139,143)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,102)( 50, 56)( 51,113)( 52, 72)( 54, 60)
        ( 55,117)( 58, 75)( 59,121)( 62, 68)( 63, 98)( 64, 91)( 66, 69)( 73,109)( 74,106)( 76, 82)( 77,141)( 78,125)
        ( 80, 86)( 81,142)( 84, 90)( 85,145)( 88, 94)( 89,146)( 92,129)( 93,149)( 96,101)( 97,130)(100,105)(103,108)
        (104,131)(107,133)(110,116)(111,140)(112,134)(114,120)(115,127)(118,124)(119,123)(122,128)(126,137)(132,136)
        (135,150)(138,144)(139,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 62)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 60)
        ( 35, 85)( 38, 44)( 39, 93)( 40, 66)( 42, 48)( 43, 97)( 46, 70)( 47,101)( 50, 56)( 51,113)( 52, 71)( 54, 59)
        ( 55,117)( 58, 74)( 61, 64)( 63, 69)( 67, 89)( 68, 86)( 72,109)( 73,105)( 75, 80)( 76,118)( 78, 84)( 79,130)
        ( 82, 88)( 83,133)( 87,124)( 90, 96)( 91,141)( 92,121)( 94,100)( 95,142)( 98,104)( 99,143)(102,108)(103,139)
        (106,125)(107,145)(110,116)(111,127)(112,126)(114,120)(115,150)(119,129)(122,137)(123,134)(128,149)(131,136)
        (132,151)(135,147)(138,144)(140,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 66)( 16, 33)( 18, 37)( 19, 63)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 67)( 42, 48)( 43, 99)( 46, 71)( 47,103)( 50, 56)( 51,114)( 52, 72)( 54, 60)
        ( 55,118)( 58, 76)( 59, 75)( 62, 65)( 64, 70)( 68, 91)( 69, 88)( 73,111)( 74,107)( 77, 82)( 78,119)( 80, 86)
        ( 81,130)( 84, 90)( 85,133)( 89,125)( 92, 98)( 93,141)( 94,122)( 96,102)( 97,142)(100,106)(101,143)(104,110)
        (105,139)(108,126)(109,145)(112,117)(113,127)(115,121)(116,150)(120,129)(123,137)(124,134)(128,149)(131,136)
        (132,151)(135,147)(138,144)(140,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 64)( 28, 57)( 30, 36)( 31, 35)( 34, 61)
        ( 38, 44)( 39, 88)( 40, 73)( 42, 48)( 43, 91)( 46, 77)( 47, 95)( 50, 56)( 51,103)( 52, 78)( 54, 60)( 55,107)
        ( 58, 80)( 59,111)( 62, 68)( 63, 81)( 66, 72)( 67,119)( 70, 76)( 71,123)( 74, 84)( 75,124)( 79, 99)( 82,122)
        ( 83,115)( 85, 90)( 86,139)( 87,127)( 89, 94)( 92, 98)( 93,140)( 96,102)( 97,141)(100,106)(101,137)(104,110)
        (105,143)(108,114)(109,147)(112,118)(113,152)(116,131)(117,149)(120,126)(121,132)(125,130)(128,135)(129,133)
        (134,145)(136,142)(138,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 64)( 28, 57)( 30, 36)( 31, 35)( 34, 61)
        ( 38, 44)( 39, 88)( 40, 73)( 42, 48)( 43, 92)( 46, 77)( 47, 95)( 50, 56)( 51,103)( 52, 78)( 54, 60)( 55,107)
        ( 58, 80)( 59,111)( 62, 68)( 63, 81)( 66, 72)( 67,119)( 70, 76)( 71,123)( 74, 84)( 75,124)( 79, 99)( 82,122)
        ( 83,115)( 85, 91)( 86,139)( 87,127)( 89, 94)( 90,140)( 93, 98)( 96,102)( 97,141)(100,106)(101,137)(104,110)
        (105,143)(108,114)(109,147)(112,118)(113,152)(116,131)(117,149)(120,126)(121,132)(125,130)(128,135)(129,133)
        (134,145)(136,142)(138,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 58)( 16, 33)( 18, 37)( 19, 62)( 23, 45)( 24, 42)( 26, 32)( 27, 47)( 28, 53)( 30, 36)( 31, 72)( 34, 54)
        ( 35, 74)( 38, 44)( 39, 76)( 40, 66)( 43, 70)( 46, 51)( 48, 71)( 50, 52)( 55, 61)( 56, 86)( 57, 78)( 59, 65)
        ( 60, 90)( 63, 69)( 64, 94)( 67, 80)( 68, 98)( 73, 77)( 75, 81)( 79, 82)( 83, 89)( 84,106)( 85, 99)( 87, 93)
        ( 88,110)( 91, 97)( 92,114)( 95,101)( 96,118)(100,102)(103,109)(104,126)(105,119)(107,113)(108,130)(111,117)
        (112,134)(115,121)(116,137)(120,122)(123,129)(124,145)(125,138)(127,133)(128,149)(131,136)(132,144)(135,140)
        (139,141)(142,148)(143,150)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 58)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 71)( 42, 48)( 43,103)( 46, 75)( 47,107)( 50, 56)( 51,119)( 52, 76)( 54, 57)
        ( 55, 79)( 60, 66)( 61, 73)( 62, 91)( 64, 70)( 65, 69)( 68, 74)( 72, 95)( 77,115)( 78,111)( 81, 86)( 82,120)
        ( 84, 90)( 85,124)( 88, 94)( 89,127)( 92, 98)( 93,131)( 96,102)( 97,135)(100,106)(101,138)(104,110)(105,139)
        (108,114)(109,142)(112,118)(113,146)(116,122)(117,150)(121,123)(125,130)(126,151)(128,134)(129,148)(132,137)
        (133,144)(136,141)(140,145)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 48)
        ( 15, 29)( 17, 32)( 18, 52)( 22, 41)( 23, 40)( 25, 31)( 26, 60)( 27, 42)( 30, 44)( 33, 39)( 34, 68)( 35, 56)
        ( 37, 43)( 38, 63)( 45, 51)( 46, 72)( 47, 61)( 49, 55)( 50, 76)( 53, 59)( 54, 80)( 57, 64)( 58, 84)( 62, 69)
        ( 65, 71)( 66, 96)( 67, 88)( 70, 75)( 73, 79)( 74, 97)( 77, 83)( 78,100)( 81, 87)( 82,104)( 85, 91)( 86,108)
        ( 89, 92)( 90,112)( 93, 99)( 94,123)( 95,116)( 98,103)(101,107)(102,124)(105,111)(106,127)(109,115)(110,131)
        (113,119)(114,135)(117,120)(118,139)(121,126)(122,143)(125,130)(128,134)(129,144)(132,138)(133,147)(136,142)
        (137,152)(140,146)(141,149)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 19)(  7, 39)(  8, 15)( 10, 23)( 11, 20)( 13, 18)( 14, 31)
        ( 16, 35)( 17, 48)( 21, 44)( 22, 43)( 24, 30)( 25, 55)( 26, 45)( 28, 34)( 29, 59)( 32, 47)( 33, 63)( 36, 42)
        ( 37, 75)( 38, 51)( 40, 46)( 41, 58)( 49, 54)( 50, 67)( 52, 71)( 53, 80)( 56, 62)( 57, 76)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 68, 79)( 69, 95)( 72, 78)( 73,107)( 74, 83)( 77, 90)( 81, 86)( 82, 99)( 84,103)( 85,112)
        ( 88, 94)( 89,108)( 92, 98)( 93,119)( 96,102)( 97,123)(100,111)(101,127)(104,110)(105,136)(106,115)(109,122)
        (113,118)(114,131)(116,135)(117,140)(120,126)(121,137)(124,130)(125,144)(128,134)(129,147)(132,139)(133,152)
        (138,143)(141,146)(142,149)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 23)( 12, 22)( 14, 20)
        ( 15, 48)( 16, 30)( 18, 33)( 19, 52)( 24, 41)( 26, 32)( 27, 60)( 28, 42)( 31, 44)( 34, 40)( 35, 68)( 36, 56)
        ( 38, 43)( 39, 63)( 45, 51)( 46, 72)( 47, 61)( 49, 55)( 50, 76)( 53, 59)( 54, 80)( 57, 64)( 58, 84)( 62, 69)
        ( 65, 71)( 66, 96)( 67, 88)( 70, 75)( 73, 79)( 74, 97)( 77, 83)( 78,100)( 81, 87)( 82,104)( 85, 91)( 86,108)
        ( 89, 92)( 90,112)( 93, 99)( 94,123)( 95,116)( 98,103)(101,107)(102,124)(105,111)(106,127)(109,115)(110,131)
        (113,119)(114,135)(117,120)(118,139)(121,126)(122,143)(125,130)(128,134)(129,144)(132,138)(133,147)(136,142)
        (137,148)(140,146)(141,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 22)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 48)( 23, 44)( 25, 31)( 26, 55)( 27, 45)( 29, 35)( 30, 59)( 33, 47)( 34, 63)( 37, 43)
        ( 38, 75)( 39, 51)( 41, 46)( 42, 58)( 49, 54)( 50, 67)( 52, 71)( 53, 80)( 56, 62)( 57, 76)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 68, 79)( 69, 95)( 72, 78)( 73,107)( 74, 83)( 77, 90)( 81, 86)( 82, 99)( 84,103)( 85,112)
        ( 88, 94)( 89,108)( 92, 98)( 93,119)( 96,102)( 97,123)(100,111)(101,127)(104,110)(105,136)(106,115)(109,122)
        (113,118)(114,131)(116,135)(117,140)(120,126)(121,137)(124,130)(125,144)(128,134)(129,147)(132,139)(133,148)
        (138,143)(141,146)(142,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 46)( 12, 21)( 14, 19)
        ( 15, 44)( 16, 32)( 18, 36)( 22, 42)( 23, 41)( 25, 31)( 26, 58)( 27, 50)( 29, 35)( 30, 62)( 33, 48)( 34, 66)
        ( 38, 40)( 39, 45)( 43, 49)( 47, 53)( 51, 54)( 52, 67)( 55, 61)( 56, 78)( 57, 70)( 59, 65)( 60, 82)( 63, 69)
        ( 64, 86)( 68, 73)( 71, 74)( 72, 87)( 75, 81)( 76, 98)( 77, 90)( 79, 85)( 80,102)( 83, 89)( 84,106)( 88, 93)
        ( 91, 94)( 92,107)( 95,101)( 96,118)( 97,110)( 99,105)(100,122)(103,109)(104,126)(108,113)(111,114)(112,127)
        (115,121)(116,138)(117,130)(119,125)(120,142)(123,129)(124,146)(128,133)(131,134)(132,147)(135,141)(136,140)
        (137,150)(139,145)(143,149)(144,151)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 41)(  8, 17)( 10, 24)( 11, 42)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 33)( 23, 38)( 25, 31)( 26, 54)( 27, 46)( 29, 35)( 30, 58)( 34, 45)( 37, 40)
        ( 43, 49)( 44, 59)( 47, 50)( 48, 62)( 51, 57)( 52, 74)( 53, 66)( 55, 61)( 56, 78)( 60, 65)( 63, 69)( 64, 79)
        ( 67, 70)( 68, 82)( 71, 77)( 72, 94)( 73, 86)( 75, 81)( 76, 98)( 80, 85)( 83, 89)( 84, 99)( 87, 90)( 88,102)
        ( 91, 97)( 92,114)( 93,106)( 95,101)( 96,118)(100,105)(103,109)(104,119)(107,110)(108,122)(111,117)(112,134)
        (113,126)(115,121)(116,138)(120,125)(123,129)(124,139)(127,130)(128,142)(131,137)(132,147)(133,146)(135,141)
        (136,151)(140,145)(143,149)(144,152)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 41)(  8, 17)( 10, 24)( 11, 46)( 12, 21)( 14, 19)
        ( 15, 44)( 16, 32)( 18, 36)( 22, 42)( 23, 38)( 25, 31)( 26, 58)( 27, 50)( 29, 35)( 30, 62)( 33, 48)( 34, 66)
        ( 37, 40)( 39, 45)( 43, 49)( 47, 53)( 51, 54)( 52, 67)( 55, 61)( 56, 78)( 57, 70)( 59, 65)( 60, 82)( 63, 69)
        ( 64, 86)( 68, 73)( 71, 74)( 72, 87)( 75, 81)( 76, 98)( 77, 90)( 79, 85)( 80,102)( 83, 89)( 84,106)( 88, 93)
        ( 91, 94)( 92,107)( 95,101)( 96,118)( 97,110)( 99,105)(100,122)(103,109)(104,126)(108,113)(111,114)(112,127)
        (115,121)(116,138)(117,130)(119,125)(120,141)(123,129)(124,145)(128,133)(131,134)(132,146)(135,140)(136,150)
        (137,149)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 41)(  8, 17)( 10, 24)( 11, 45)( 12, 21)( 14, 19)
        ( 15, 57)( 16, 32)( 18, 36)( 22, 42)( 23, 38)( 25, 31)( 26, 65)( 27, 49)( 29, 35)( 30, 69)( 33, 53)( 34, 73)
        ( 37, 40)( 39, 58)( 43, 48)( 44, 59)( 46, 52)( 47, 55)( 50, 61)( 51, 78)( 54, 60)( 56, 77)( 62, 68)( 63, 89)
        ( 64, 81)( 66, 72)( 67, 93)( 70, 76)( 71, 97)( 74, 80)( 75,101)( 79, 84)( 82, 85)( 83,102)( 86, 92)( 87,113)
        ( 88,105)( 90, 96)( 91,117)( 94,100)( 95,121)( 98,104)( 99,125)(103,108)(106,109)(107,126)(110,116)(111,137)
        (112,129)(114,120)(115,138)(118,124)(119,141)(122,128)(123,145)(127,132)(130,133)(131,146)(134,140)(135,150)
        (136,149)(139,144)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 62)( 23, 43)( 24, 39)( 26, 32)( 27, 74)( 28, 51)( 30, 36)( 31, 78)( 34, 55)
        ( 35, 82)( 38, 41)( 40, 66)( 44, 50)( 45, 90)( 46, 67)( 48, 54)( 49, 94)( 52, 70)( 53, 98)( 56, 61)( 57, 64)
        ( 58, 86)( 60, 65)( 63, 69)( 68, 87)( 71, 77)( 72,110)( 73,102)( 75, 81)( 76,114)( 79, 85)( 80,118)( 83, 89)
        ( 84,122)( 88, 93)( 91, 97)( 92,123)( 95,101)( 96,126)( 99,105)(100,130)(103,106)(104,134)(107,113)(108,137)
        (109,135)(111,117)(112,141)(115,121)(116,145)(119,125)(120,149)(124,129)(127,133)(128,150)(131,136)(132,140)
        (138,144)(139,151)(142,148)(143,147)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 79)( 34, 55)
        ( 35, 83)( 38, 41)( 40, 67)( 44, 50)( 45, 95)( 46, 68)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,114)
        ( 58, 87)( 60, 66)( 61,118)( 64, 70)( 65,122)( 69, 91)( 72, 78)( 73,130)( 74,107)( 76, 82)( 77,134)( 80, 86)
        ( 81,138)( 84, 90)( 85,141)( 88,110)( 89,145)( 92, 98)( 93,116)( 94,123)( 96,102)( 97,112)(100,106)(101,150)
        (104,109)(105,129)(108,126)(111,117)(113,149)(115,121)(119,125)(120,124)(127,133)(128,151)(131,137)(132,147)
        (135,140)(136,143)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 79)( 34, 55)
        ( 35, 83)( 38, 41)( 40, 67)( 44, 50)( 45, 61)( 46, 68)( 48, 54)( 49, 57)( 52, 71)( 53, 88)( 56, 62)( 58, 87)
        ( 60, 66)( 64, 70)( 65, 69)( 72, 78)( 73, 99)( 74, 91)( 76, 82)( 77,103)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 89, 94)( 92, 95)( 93,112)( 96,102)( 97,123)( 98,115)(100,106)(101,127)(104,110)(105,131)(108,114)(109,135)
        (113,118)(116,119)(117,136)(120,126)(121,147)(122,139)(124,130)(125,148)(128,134)(129,145)(132,138)(133,150)
        (137,142)(140,143)(141,151)(144,149)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 79)( 34, 55)
        ( 35, 83)( 38, 41)( 40, 67)( 44, 50)( 45, 88)( 46, 68)( 48, 54)( 49, 91)( 52, 71)( 53, 95)( 56, 62)( 57, 69)
        ( 58, 87)( 60, 66)( 61, 65)( 64, 70)( 72, 78)( 73,106)( 74, 99)( 76, 82)( 77,110)( 80, 86)( 81,114)( 84, 90)
        ( 85,118)( 89, 94)( 92, 98)( 93,119)( 96,102)( 97,122)(100,103)(101,126)(104,109)(105,130)(107,113)(108,135)
        (111,117)(112,138)(115,121)(116,142)(120,125)(123,129)(124,143)(127,133)(128,146)(131,134)(132,150)(136,141)
        (137,151)(139,145)(140,148)(144,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 79)( 34, 55)
        ( 35, 83)( 38, 41)( 40, 67)( 44, 50)( 45, 88)( 46, 68)( 48, 54)( 49, 91)( 52, 71)( 53, 95)( 56, 62)( 57, 69)
        ( 58, 87)( 60, 66)( 61, 65)( 64, 70)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 89, 94)( 92, 98)( 93,120)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,138)(106,131)(108,114)
        (109,142)(112,118)(113,145)(116,122)(117,149)(121,126)(124,130)(125,150)(128,133)(129,137)(132,134)(135,141)
        (136,151)(139,144)(140,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 18,151)( 19, 37)( 23, 34)( 24, 41)( 26, 32)( 27, 56)( 28, 48)( 30, 36)( 31, 60)( 35, 47)
        ( 38,152)( 40, 43)( 45, 51)( 46, 61)( 49, 52)( 50, 64)( 53, 59)( 54, 76)( 55, 68)( 57, 63)( 58, 80)( 62, 67)
        ( 65, 71)( 66, 81)( 69, 72)( 70, 84)( 73, 79)( 74, 96)( 75, 88)( 77, 83)( 78,100)( 82, 87)( 85, 91)( 86,101)
        ( 89, 92)( 90,104)( 93, 99)( 94,116)( 95,108)( 97,103)( 98,120)(102,107)(105,111)(106,121)(109,112)(110,124)
        (113,119)(114,136)(115,128)(117,123)(118,140)(122,127)(125,131)(126,141)(129,132)(130,144)(133,139)(134,150)
        (135,149)(137,143)(138,146)(142,147)(145,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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)( 18,151)( 19, 37)( 24, 40)( 26, 32)( 27, 49)( 28, 41)( 30, 36)( 31, 53)( 35, 44)( 38,152)
        ( 42, 45)( 43, 54)( 46, 52)( 47, 65)( 48, 57)( 50, 56)( 51, 69)( 55, 60)( 58, 61)( 59, 70)( 62, 68)( 63, 81)
        ( 64, 73)( 66, 72)( 67, 85)( 71, 76)( 74, 77)( 75, 86)( 78, 84)( 79, 97)( 80, 89)( 82, 88)( 83,101)( 87, 92)
        ( 90, 93)( 91,102)( 94,100)( 95,113)( 96,105)( 98,104)( 99,117)(103,108)(106,109)(107,118)(110,116)(111,129)
        (112,121)(114,120)(115,133)(119,124)(122,125)(123,134)(126,132)(127,144)(128,137)(130,136)(131,148)(135,140)
        (138,141)(139,149)(142,147)(143,146)(145,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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)( 18,151)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 42)
        ( 35, 48)( 38,152)( 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)( 83,109)( 84,101)
        ( 86, 92)( 87,113)( 91, 96)( 94,100)( 95,114)( 98,104)( 99,117)(102,105)(103,121)(106,112)(107,133)(108,125)
        (110,116)(111,137)(115,120)(118,124)(119,138)(122,128)(123,141)(126,129)(127,144)(130,136)(131,150)(132,149)
        (134,140)(135,146)(139,143)(142,147)(145,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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)( 18,151)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 61)( 28, 53)( 30, 36)( 31, 65)( 34, 47)
        ( 35, 69)( 38,152)( 40, 44)( 42, 48)( 46, 52)( 50, 56)( 51, 70)( 54, 57)( 55, 73)( 58, 64)( 59, 85)( 60, 77)
        ( 62, 68)( 63, 89)( 66, 72)( 67, 93)( 71, 76)( 74, 80)( 75, 94)( 78, 81)( 79, 97)( 82, 88)( 83,109)( 84,101)
        ( 86, 92)( 87,113)( 90, 96)( 91,117)( 95,100)( 98,104)( 99,118)(102,105)(103,121)(106,112)(107,133)(108,125)
        (110,116)(111,137)(114,120)(115,140)(119,124)(122,128)(123,141)(126,129)(127,144)(130,136)(131,150)(132,149)
        (134,139)(135,146)(138,143)(142,147)(145,148),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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)( 18,151)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,152)( 40, 44)( 42, 58)( 46, 52)( 47, 80)( 48, 59)( 50, 56)( 51, 84)( 54, 61)( 55, 88)( 60, 77)
        ( 62, 68)( 63,100)( 64, 92)( 66, 72)( 67,104)( 70, 76)( 71,108)( 74, 79)( 75,112)( 78, 83)( 81, 87)( 82,113)
        ( 85, 91)( 86,116)( 89, 95)( 90,120)( 93, 96)( 94,124)( 97,103)( 98,135)( 99,128)(101,107)(102,139)(105,111)
        (106,143)(109,115)(110,147)(114,119)(117,123)(118,148)(121,127)(122,149)(125,131)(126,145)(129,132)(130,141)
        (133,138)(134,137)(136,142)(140,146)(144,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 43)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 42)( 16, 33)( 18, 40)( 19, 38)( 23, 47)( 24, 44)( 26, 32)( 27, 63)( 28, 55)( 30, 36)( 31, 67)( 34, 45)
        ( 35, 50)( 37, 39)( 41, 46)( 48, 54)( 49, 68)( 52, 58)( 53, 71)( 56, 59)( 57, 75)( 60, 66)( 61, 87)( 62, 79)
        ( 64, 70)( 65, 91)( 69, 74)( 72, 78)( 73, 92)( 76, 82)( 77, 95)( 80, 83)( 81, 99)( 84, 90)( 85,111)( 86,103)
        ( 88, 94)( 89,115)( 93, 98)( 96,102)( 97,116)(100,106)(101,119)(104,107)(105,123)(108,114)(109,135)(110,127)
        (112,118)(113,138)(117,122)(120,126)(121,139)(124,130)(125,142)(128,131)(129,146)(132,137)(133,144)(134,152)
        (136,141)(140,145)(143,149)(147,151)(148,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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, 96)( 67, 88)( 69, 75)( 70,100)( 73, 79)( 74,104)( 77, 83)( 78,108)( 82, 87)( 85, 91)( 86,109)
        ( 89, 92)( 90,112)( 93, 99)( 94,121)( 95,116)( 97,103)( 98,124)(101,107)(102,128)(105,111)(106,132)(110,115)
        (113,119)(114,133)(117,120)(118,136)(122,127)(123,140)(125,131)(126,145)(129,135)(130,147)(134,139)(137,143)
        (138,148)(141,144)(142,152)(146,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 37)( 19, 36)( 23, 44)( 25, 31)( 26, 68)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 61)( 41, 47)( 42, 85)( 45, 51)( 46, 88)( 49, 55)( 50, 92)( 53, 64)( 54, 96)( 57, 63)( 58, 87)
        ( 59, 80)( 62, 84)( 65, 71)( 66,105)( 67,100)( 69, 75)( 70,108)( 73, 79)( 74,112)( 77, 83)( 78,116)( 81, 90)
        ( 82,120)( 86, 91)( 89, 95)( 93, 99)( 94,121)( 97,103)( 98,124)(101,104)(102,128)(106,111)(107,132)(109,115)
        (110,137)(113,119)(114,140)(117,123)(118,143)(122,127)(125,131)(126,144)(129,135)(130,147)(133,136)(134,152)
        (138,142)(139,149)(141,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 37)( 19, 36)( 23, 44)( 25, 31)( 26, 68)( 27, 52)( 29, 35)( 30, 72)( 33, 56)( 34, 76)
        ( 38, 43)( 39, 61)( 41, 47)( 42, 85)( 45, 51)( 46, 86)( 49, 55)( 50, 88)( 53, 64)( 54, 92)( 57, 63)( 58, 90)
        ( 59, 80)( 62, 84)( 65, 71)( 66,104)( 67, 96)( 69, 75)( 70,108)( 73, 79)( 74,112)( 77, 83)( 78,116)( 81, 94)
        ( 82,120)( 87, 91)( 89, 95)( 93, 99)( 97,100)( 98,121)(101,107)(102,129)(103,124)(105,111)(106,132)(109,115)
        (110,135)(113,119)(114,139)(117,123)(118,143)(122,127)(125,128)(126,144)(130,134)(131,147)(133,138)(136,142)
        (137,148)(140,146)(141,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 36)( 18, 35)( 22, 47)( 23, 43)( 25, 30)( 26, 67)( 27, 48)( 29, 34)( 32, 51)( 33, 68)( 37, 42)
        ( 38, 56)( 40, 46)( 41, 76)( 44, 59)( 45, 79)( 49, 63)( 50, 60)( 52, 58)( 53, 95)( 54, 71)( 57, 75)( 61, 87)
        ( 62, 83)( 64, 70)( 65,107)( 66, 88)( 69, 74)( 72, 91)( 73,108)( 77, 82)( 78, 96)( 80, 86)( 81,116)( 84, 99)
        ( 85,119)( 89,103)( 90,100)( 92, 98)( 93,135)( 94,111)( 97,115)(101,127)(102,123)(104,110)(105,145)(106,128)
        (109,114)(112,131)(113,146)(117,122)(118,136)(120,126)(121,150)(124,139)(125,144)(129,141)(130,140)(132,138)
        (133,152)(134,147)(137,149)(142,148)(143,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 35)( 22, 47)( 23, 43)( 25, 31)( 26, 67)( 27, 48)( 29, 34)( 30, 71)( 33, 51)( 37, 42)
        ( 38, 56)( 40, 46)( 41, 76)( 44, 59)( 45, 79)( 49, 63)( 50, 60)( 52, 58)( 53, 95)( 54, 72)( 57, 75)( 61, 87)
        ( 62, 83)( 64, 70)( 65,107)( 66, 88)( 68, 74)( 69,111)( 73, 91)( 77, 82)( 78, 96)( 80, 86)( 81,116)( 84, 99)
        ( 85,119)( 89,103)( 90,100)( 92, 98)( 93,135)( 94,112)( 97,115)(101,127)(102,123)(104,110)(105,145)(106,128)
        (108,114)(109,146)(113,131)(117,122)(118,136)(120,126)(121,150)(124,139)(125,144)(129,141)(130,140)(132,138)
        (133,152)(134,147)(137,149)(142,148)(143,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 38)( 19, 37)( 23, 47)( 24, 44)( 26, 32)( 27, 67)( 28, 55)( 30, 36)( 31, 71)( 34, 49)
        ( 35, 75)( 39, 43)( 40, 60)( 42, 46)( 45, 61)( 48, 54)( 50, 62)( 52, 58)( 53, 76)( 56, 63)( 57, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,136)(114,131)(116,122)(117,139)(120,126)(121,143)(125,130)(128,134)(129,144)(132,135)(133,147)(137,142)
        (138,148)(140,146)(141,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 38)( 19, 37)( 23, 47)( 24, 44)( 26, 32)( 27, 67)( 28, 55)( 30, 36)( 31, 71)( 34, 49)
        ( 35, 75)( 39, 43)( 40, 60)( 42, 46)( 45, 61)( 48, 54)( 50, 62)( 52, 58)( 53, 76)( 56, 63)( 57, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 87)( 85,103)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,111)(109,127)(112,118)
        (113,137)(114,131)(116,122)(117,141)(120,126)(121,145)(125,130)(128,134)(129,146)(132,135)(133,149)(136,140)
        (138,144)(139,150)(142,148)(143,151)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 92)( 51, 69)( 53, 59)( 54, 96)( 57, 72)
        ( 58,100)( 61, 67)( 62, 71)( 63, 88)( 70, 89)( 73, 79)( 74,112)( 75,104)( 77, 83)( 78,116)( 81, 87)( 82,120)
        ( 85, 91)( 86,124)( 90, 95)( 93, 99)( 94,125)( 97,103)( 98,128)(101,107)(102,132)(105,108)(106,136)(109,115)
        (110,143)(111,141)(113,119)(114,144)(117,123)(118,146)(121,127)(122,150)(126,131)(129,135)(130,151)(133,139)
        (134,148)(137,140)(138,142)(145,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 43)( 40, 65)( 42, 47)( 45, 68)( 46, 66)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 72)
        ( 58,103)( 61, 67)( 62, 71)( 63, 87)( 70, 91)( 73, 79)( 74,115)( 75,107)( 77, 83)( 78,119)( 81, 86)( 82,123)
        ( 85, 90)( 88, 94)( 89,124)( 92, 98)( 93,127)( 96,102)( 97,131)(100,106)(101,132)(104,110)(105,135)(108,111)
        (109,139)(112,118)(113,146)(114,144)(116,122)(117,147)(120,126)(121,149)(125,130)(128,134)(129,150)(133,138)
        (136,142)(137,151)(140,143)(141,145)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 39, 44)( 40, 65)( 42, 47)( 43, 93)( 46, 68)( 49, 55)( 50,100)( 51, 69)( 53, 59)( 54,104)( 57, 72)
        ( 58,108)( 61, 67)( 62,116)( 63, 88)( 66, 92)( 70, 96)( 71, 94)( 73, 79)( 74,123)( 75,112)( 77, 83)( 78,124)
        ( 81, 87)( 82,127)( 85, 91)( 86,131)( 89, 98)( 90,135)( 95,117)( 97,103)( 99,118)(101,107)(102,136)(105,111)
        (106,139)(109,115)(110,143)(113,119)(114,148)(120,126)(121,149)(122,145)(125,130)(128,134)(129,150)(132,138)
        (133,151)(137,142)(140,146)(141,152)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), 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)( 51,100)( 52, 70)( 54, 60)( 55,104)
        ( 58, 72)( 59,108)( 62, 68)( 63, 98)( 64, 88)( 67, 92)( 71, 96)( 73, 79)( 74,118)( 75,112)( 77, 83)( 78,122)
        ( 81, 87)( 82,126)( 85, 91)( 86,130)( 89,102)( 90,134)( 95, 99)( 97,103)(101,107)(105,111)(106,135)(109,115)
        (110,138)(113,116)(114,142)(117,121)(119,125)(120,143)(123,129)(124,147)(127,133)(128,149)(131,137)(132,150)
        (136,141)(139,145)(140,151)(144,146)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), 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, 95)( 50, 56)( 51,100)( 52, 70)( 54, 60)( 55,104)
        ( 58, 73)( 59,108)( 62, 68)( 63, 98)( 64, 89)( 67, 93)( 71, 90)( 72, 97)( 74, 80)( 75,118)( 76,112)( 78, 84)
        ( 79,122)( 82, 88)( 83,126)( 86, 92)( 87,130)( 91,103)( 96, 99)(101,107)(102,131)(105,111)(106,134)(109,115)
        (110,138)(113,116)(114,142)(117,121)(119,125)(120,143)(123,129)(124,147)(127,133)(128,149)(132,137)(135,141)
        (136,150)(139,145)(140,151)(144,146)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 97)( 50, 56)( 51,106)( 52, 70)( 54, 60)( 55,109)
        ( 58, 73)( 59,110)( 62, 68)( 63,121)( 64, 89)( 67, 93)( 71,105)( 72,101)( 74, 80)( 75,133)( 76,113)( 78, 84)
        ( 79,137)( 82, 88)( 83,142)( 86, 92)( 87,139)( 90,117)( 91,135)( 95,100)( 96,122)( 98,104)( 99,144)(102,125)
        (103,146)(107,112)(108,126)(111,116)(114,129)(115,127)(118,124)(119,148)(120,131)(123,143)(128,150)(130,136)
        (132,151)(134,140)(138,141)(145,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142)(143,144,145)
        (146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 97)( 50, 56)( 51,109)( 52, 70)( 54, 60)( 55,112)
        ( 58, 73)( 59,113)( 62, 68)( 63,124)( 64, 89)( 67, 93)( 71,105)( 72,101)( 74, 80)( 75,136)( 76,116)( 78, 84)
        ( 79,140)( 82, 88)( 83,145)( 86, 92)( 87,142)( 90,120)( 91,138)( 95,100)( 96,125)( 98,104)( 99,147)(102,128)
        (103,149)(106,111)(107,118)(108,129)(110,115)(114,119)(117,132)(121,127)(122,151)(123,134)(126,146)(130,135)
        (131,150)(133,139)(137,143)(141,144)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 75)( 28, 57)( 30, 36)( 31, 79)( 34, 61)
        ( 35, 83)( 39, 44)( 40, 66)( 42, 48)( 43, 92)( 46, 69)( 47, 95)( 50, 56)( 51,106)( 52, 70)( 54, 60)( 55,110)
        ( 58, 73)( 59,114)( 62, 68)( 63,122)( 64, 87)( 67, 91)( 71,102)( 72, 98)( 74, 78)( 76, 82)( 77,115)( 80, 86)
        ( 81,130)( 84, 90)( 85,133)( 88,118)( 89,137)( 93, 97)( 94,123)( 96,101)( 99,126)(100,124)(103,109)(104,142)
        (105,127)(107,113)(108,145)(111,117)(112,149)(116,129)(119,125)(120,128)(121,141)(131,136)(132,150)(134,140)
        (135,151)(138,144)(139,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), 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, 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)
        ( 87,113)( 90, 93)( 91,117)( 94,100)( 95,128)( 96,121)( 98,104)( 99,132)(102,108)(103,136)(107,112)(110,116)
        (111,137)(114,120)(115,140)(118,124)(119,143)(122,125)(123,147)(126,131)(127,152)(129,135)(130,149)(133,139)
        (134,145)(138,142)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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, 78)( 48, 59)( 50, 56)( 51, 81)( 54, 61)( 55, 85)( 60, 77)( 62, 68)
        ( 63, 97)( 64, 89)( 66, 72)( 67,101)( 70, 76)( 71,105)( 74, 80)( 75,109)( 79, 84)( 82, 88)( 83,110)( 86, 92)
        ( 87,113)( 90, 93)( 91,117)( 94,100)( 95,128)( 96,121)( 98,104)( 99,132)(102,108)(103,136)(106,112)(107,139)
        (111,116)(114,120)(115,140)(118,124)(119,143)(122,125)(123,147)(126,131)(127,152)(129,135)(130,149)(133,138)
        (134,145)(137,142)(141,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 40, 44)( 42, 58)( 46, 52)( 47, 81)( 48, 59)( 50, 56)( 51, 85)( 54, 61)( 55, 89)( 60, 77)( 62, 68)
        ( 63,101)( 64, 93)( 66, 72)( 67,105)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,114)( 82, 88)( 83,117)
        ( 86, 92)( 87,121)( 90, 96)( 91,124)( 94, 97)( 95,128)( 98,104)( 99,138)(100,132)(102,108)(103,141)(106,112)
        (107,145)(110,116)(111,149)(115,120)(118,123)(119,150)(122,127)(125,131)(126,151)(129,135)(130,147)(133,136)
        (134,143)(137,140)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 40, 44)( 42, 58)( 46, 52)( 47, 81)( 48, 59)( 50, 56)( 51, 85)( 54, 61)( 55, 89)( 60, 77)( 62, 68)
        ( 63,101)( 64, 93)( 66, 72)( 67,105)( 70, 76)( 71,109)( 74, 80)( 75,113)( 78, 84)( 79,116)( 82, 88)( 83,120)
        ( 86, 92)( 87,121)( 90, 96)( 91,124)( 94, 97)( 95,128)( 98,104)( 99,138)(100,132)(102,108)(103,141)(106,112)
        (107,145)(110,115)(111,149)(114,119)(117,123)(118,150)(122,127)(125,131)(126,151)(129,135)(130,147)(133,136)
        (134,143)(137,140)(139,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 72)( 28, 58)( 30, 36)( 31, 75)( 34, 59)
        ( 35, 79)( 39, 44)( 40, 64)( 42, 48)( 43, 88)( 46, 67)( 47, 91)( 50, 56)( 51,103)( 52, 68)( 54, 57)( 55, 71)
        ( 60, 66)( 61,111)( 62, 83)( 65, 87)( 69, 99)( 70, 95)( 73, 78)( 74,104)( 76, 82)( 77,120)( 80, 86)( 81,123)
        ( 84,107)( 85,126)( 89, 94)( 90,112)( 92, 98)( 93,135)( 96,115)( 97,136)(100,106)(101,146)(102,116)(105,119)
        (108,114)(109,140)(110,130)(113,134)(117,142)(118,138)(121,125)(122,147)(124,129)(127,133)(128,148)(131,150)
        (132,144)(137,141)(139,151)(143,149)(145,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 19)( 16, 33)( 18, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 69)( 28, 57)( 30, 36)( 31, 73)( 34, 40)( 35, 77)
        ( 38, 44)( 39, 81)( 42, 48)( 43, 85)( 46, 61)( 47, 89)( 50, 56)( 51,101)( 52, 62)( 54, 60)( 55,105)( 58, 65)
        ( 59,108)( 63, 97)( 64, 93)( 66, 72)( 67,124)( 68,112)( 70, 76)( 71,128)( 74, 80)( 75,132)( 78, 84)( 79,135)
        ( 82, 88)( 83,139)( 86, 92)( 87,143)( 90, 96)( 91,147)( 94,116)( 95,152)( 98,104)( 99,114)(100,117)(102,107)
        (103,110)(106,111)(109,115)(113,120)(118,123)(119,149)(121,127)(122,145)(125,131)(126,141)(129,134)(130,137)
        (133,138)(136,142)(140,146)(144,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), 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)( 51,100)( 52, 62)( 54, 60)( 55,104)( 58, 65)
        ( 59,108)( 63, 97)( 64, 93)( 66, 72)( 67,119)( 68,113)( 70, 76)( 71,122)( 74, 80)( 75,126)( 78, 84)( 79,130)
        ( 82, 88)( 83,134)( 86, 92)( 87,137)( 90, 96)( 91,141)( 94,114)( 95,145)( 98,103)( 99,115)(101,107)(102,116)
        (105,111)(106,150)(109,112)(110,118)(117,149)(120,125)(121,151)(123,129)(124,147)(127,133)(128,143)(131,136)
        (132,139)(135,140)(138,144)(142,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 30)(  4,  9)(  6, 21)(  7, 35)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 27)( 18, 31)( 19, 59)( 23, 43)( 24, 39)( 26, 29)( 28, 51)( 32, 38)( 33, 75)( 34, 63)( 36, 42)
        ( 37, 78)( 40, 67)( 41, 79)( 44, 50)( 45, 90)( 46, 68)( 48, 54)( 49, 94)( 52, 58)( 53, 98)( 56, 62)( 57,102)
        ( 60, 66)( 61,106)( 64, 71)( 65,110)( 69, 86)( 70, 82)( 72, 77)( 73, 84)( 74,114)( 76, 81)( 80, 85)( 83,118)
        ( 87, 93)( 88,126)( 89,119)( 91, 97)( 92,130)( 95,101)( 96,134)( 99,105)(100,138)(103,109)(104,142)(107,113)
        (108,145)(111,117)(112,146)(115,121)(116,149)(120,122)(123,129)(124,136)(125,150)(127,133)(128,132)(131,137)
        (135,141)(139,144)(140,151)(143,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 79)( 40, 65)( 42, 48)( 43, 75)( 46, 52)( 47, 72)( 51, 69)( 54, 60)( 55, 85)( 56, 77)( 58, 64)
        ( 59, 89)( 62, 68)( 63, 93)( 66, 81)( 67, 97)( 71, 76)( 74, 80)( 78, 82)( 83, 88)( 84,101)( 86, 92)( 87,106)
        ( 90, 96)( 91,109)( 94,100)( 95,113)( 98,104)( 99,117)(102,105)(103,121)(107,112)(108,125)(110,116)(111,130)
        (114,120)(115,133)(118,124)(119,137)(122,128)(123,141)(126,129)(127,144)(131,136)(132,147)(134,140)(135,152)
        (138,143)(139,149)(142,146)(145,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 74)( 34, 53)( 35, 77)
        ( 38, 44)( 39, 89)( 40, 65)( 42, 48)( 43, 93)( 46, 69)( 47, 97)( 51, 73)( 52, 70)( 54, 60)( 55,111)( 56, 81)
        ( 58, 64)( 59,115)( 62, 68)( 63,119)( 66, 85)( 67,123)( 71,104)( 72,101)( 75, 80)( 76,105)( 78, 84)( 79,129)
        ( 82,107)( 83,131)( 86, 92)( 87,143)( 88,124)( 90, 96)( 91,144)( 94,100)( 95,137)( 98,103)( 99,133)(102,127)
        (106,128)(108,114)(109,141)(110,135)(112,118)(113,147)(116,122)(117,152)(120,126)(121,149)(125,139)(130,134)
        (132,138)(136,145)(140,146)(142,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 74)( 34, 53)( 35, 77)
        ( 38, 44)( 39, 89)( 40, 65)( 42, 48)( 43, 93)( 46, 69)( 47, 97)( 51, 73)( 52, 70)( 54, 60)( 55,113)( 56, 81)
        ( 58, 64)( 59,117)( 62, 68)( 63,118)( 66, 85)( 67,121)( 71,105)( 72,101)( 75, 80)( 76,106)( 78, 84)( 79,131)
        ( 82,109)( 83,134)( 86, 92)( 87,146)( 88,125)( 90, 96)( 91,150)( 94,100)( 95,140)( 98,104)( 99,136)(102,128)
        (103,133)(107,130)(108,129)(110,116)(111,148)(112,138)(114,120)(115,144)(119,124)(122,127)(123,145)(126,142)
        (132,137)(135,141)(139,151)(143,149)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 74)( 34, 53)( 35, 77)
        ( 38, 44)( 39, 89)( 40, 65)( 42, 48)( 43, 93)( 46, 69)( 47, 97)( 51, 73)( 52, 70)( 54, 60)( 55,113)( 56, 81)
        ( 58, 64)( 59,117)( 62, 68)( 63,120)( 66, 85)( 67,124)( 71,105)( 72,101)( 75, 80)( 76,106)( 78, 84)( 79,131)
        ( 82,109)( 83,134)( 86, 92)( 87,146)( 88,125)( 90, 96)( 91,147)( 94,100)( 95,140)( 98,104)( 99,136)(102,128)
        (103,133)(107,130)(108,129)(110,116)(111,144)(112,138)(114,119)(115,150)(118,123)(121,127)(122,151)(126,142)
        (132,137)(135,141)(139,148)(143,149)(145,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152) ), 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)( 97,115)(100,106)(101,119)(104,107)(105,123)(109,114)(110,127)(112,118)
        (113,132)(116,122)(117,135)(120,126)(121,139)(124,130)(125,143)(128,131)(129,146)(133,138)(134,149)(136,142)
        (137,150)(140,145)(141,151)(144,148)(147,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 33)( 18, 37)( 19, 59)( 23, 47)( 24, 43)( 27, 32)( 28, 48)( 30, 36)( 31, 68)( 34, 51)( 35, 71)
        ( 38, 42)( 40, 46)( 41, 60)( 44, 63)( 45, 80)( 49, 67)( 50, 64)( 52, 58)( 53, 95)( 54, 75)( 56, 62)( 57, 99)
        ( 61, 79)( 65, 87)( 66, 83)( 69, 74)( 70, 88)( 72, 78)( 73,108)( 76, 91)( 77,111)( 81, 86)( 82,100)( 84,103)
        ( 85,119)( 89,107)( 90,104)( 92, 98)( 93,134)( 94,115)( 96,102)( 97,137)(101,118)(105,126)(106,122)(109,114)
        (110,127)(112,117)(113,146)(116,130)(120,125)(121,138)(123,141)(124,150)(128,145)(129,142)(131,136)(132,152)
        (133,147)(135,140)(139,149)(143,148)(144,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 84,106)( 87, 94)
        ( 88,110)( 92,109)( 93,102)( 95,101)( 96,126)( 97,114)(100,105)(103,118)(104,127)(107,113)(108,119)(111,117)
        (112,133)(115,122)(116,137)(120,136)(121,130)(123,129)(124,148)(125,141)(128,132)(131,145)(134,140)(135,146)
        (138,144)(139,152)(142,150)(143,149)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 26)(  4,  9)(  6, 20)(  7, 25)(  8, 16)( 10, 22)( 11, 21)( 13, 19)( 14, 42)
        ( 15, 30)( 17, 34)( 18, 46)( 23, 29)( 24, 35)( 27, 33)( 28, 54)( 31, 38)( 32, 55)( 36, 57)( 37, 50)( 39, 45)
        ( 40, 66)( 41, 58)( 43, 49)( 44, 70)( 47, 53)( 48, 74)( 51, 60)( 52, 78)( 56, 61)( 59, 62)( 63, 69)( 64, 86)
        ( 65, 79)( 67, 73)( 68, 90)( 71, 77)( 72, 94)( 75, 81)( 76, 98)( 80, 82)( 83, 89)( 84,106)( 85, 99)( 87, 93)
        ( 88,110)( 91, 97)( 92,114)( 95,101)( 96,118)(100,102)(103,109)(104,126)(105,119)(107,113)(108,130)(111,117)
        (112,134)(115,121)(116,137)(120,122)(123,129)(124,145)(125,138)(127,133)(128,149)(131,136)(132,144)(135,140)
        (139,141)(142,148)(143,150)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 26)(  4,  9)(  6, 20)(  7, 25)(  8, 16)( 10, 22)( 11, 21)( 13, 19)( 14, 42)
        ( 15, 30)( 17, 34)( 18, 46)( 23, 29)( 24, 35)( 27, 33)( 28, 54)( 31, 38)( 32, 58)( 36, 57)( 37, 50)( 39, 45)
        ( 40, 74)( 41, 62)( 43, 49)( 44, 78)( 47, 53)( 48, 82)( 51, 66)( 52, 85)( 55, 61)( 56, 67)( 59, 65)( 60, 93)
        ( 63, 70)( 64, 97)( 68, 96)( 69, 89)( 71, 77)( 72,113)( 73,101)( 75, 81)( 76,117)( 79, 84)( 80,121)( 83, 88)
        ( 86, 92)( 87,122)( 90,105)( 91,125)( 94,100)( 95,106)( 98,104)( 99,133)(102,109)(103,137)(107,136)(108,129)
        (110,116)(111,148)(112,141)(114,120)(115,131)(118,124)(119,127)(123,128)(126,132)(130,145)(134,140)(135,146)
        (138,144)(139,152)(142,150)(143,149)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 12)(  7, 25)(  8, 17)( 11, 16)( 14, 20)( 15, 26)( 18, 21)
        ( 19, 29)( 22, 28)( 23, 41)( 24, 33)( 27, 32)( 30, 36)( 31, 42)( 34, 37)( 35, 45)( 38, 44)( 39, 57)( 40, 49)
        ( 43, 48)( 46, 52)( 47, 58)( 50, 53)( 51, 61)( 54, 60)( 55, 73)( 56, 65)( 59, 64)( 62, 68)( 63, 74)( 66, 69)
        ( 67, 77)( 70, 76)( 71, 89)( 72, 81)( 75, 80)( 78, 84)( 79, 90)( 82, 85)( 83, 93)( 86, 92)( 87,105)( 88, 97)
        ( 91, 96)( 94,100)( 95,106)( 98,101)( 99,109)(102,108)(103,121)(104,113)(107,112)(110,116)(111,122)(114,117)
        (115,125)(118,124)(119,137)(120,129)(123,128)(126,132)(127,138)(130,133)(131,141)(134,140)(135,150)(136,145)
        (139,144)(142,147)(143,151)(146,148)(149,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 12)(  7, 24)(  8, 17)( 11, 21)( 14, 20)( 15, 29)( 16, 22)
        ( 18, 25)( 19, 33)( 23, 26)( 27, 32)( 28, 37)( 30, 36)( 31, 42)( 34, 40)( 35, 45)( 38, 41)( 39, 49)( 43, 48)
        ( 44, 53)( 46, 52)( 47, 58)( 50, 56)( 51, 61)( 54, 57)( 55, 65)( 59, 64)( 60, 69)( 62, 68)( 63, 74)( 66, 72)
        ( 67, 77)( 70, 73)( 71, 81)( 75, 80)( 76, 85)( 78, 84)( 79, 90)( 82, 88)( 83, 93)( 86, 89)( 87, 97)( 91, 96)
        ( 92,101)( 94,100)( 95,106)( 98,104)( 99,109)(102,105)(103,113)(107,112)(108,117)(110,116)(111,122)(114,120)
        (115,125)(118,121)(119,129)(123,128)(124,133)(126,132)(127,138)(130,136)(131,141)(134,137)(135,145)(139,144)
        (140,148)(142,147)(143,152)(146,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 20)(  7, 32)(  8, 17)( 11, 24)( 12, 21)( 14, 19)( 15, 48)
        ( 16, 25)( 18, 28)( 22, 40)( 23, 36)( 26, 44)( 27, 41)( 29, 35)( 30, 64)( 31, 49)( 33, 39)( 34, 68)( 37, 52)
        ( 38, 72)( 42, 56)( 43, 53)( 45, 51)( 46, 88)( 47, 57)( 50, 60)( 54, 80)( 55, 76)( 58, 84)( 59, 81)( 61, 67)
        ( 62,104)( 63, 89)( 65, 71)( 66,105)( 69, 75)( 70,108)( 73, 79)( 74,112)( 77, 92)( 78,116)( 82, 96)( 83, 93)
        ( 85, 91)( 86,132)( 87, 97)( 90,100)( 94,124)( 95,120)( 98,128)( 99,125)(101,107)(102,146)(103,133)(106,111)
        (109,115)(110,147)(113,119)(114,144)(117,123)(118,149)(121,136)(122,141)(126,138)(127,137)(129,135)(130,151)
        (131,139)(134,142)(140,150)(143,148)(145,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 30)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 45)
        ( 16, 26)( 18, 29)( 19, 49)( 23, 37)( 24, 33)( 27, 41)( 28, 38)( 31, 36)( 32, 50)( 34, 53)( 35, 62)( 39, 57)
        ( 40, 54)( 42, 48)( 43, 77)( 44, 58)( 46, 52)( 47, 81)( 51, 61)( 55, 69)( 56, 65)( 59, 73)( 60, 70)( 63, 68)
        ( 64, 82)( 66, 85)( 67, 94)( 71, 89)( 72, 86)( 74, 80)( 75,109)( 76, 90)( 78, 84)( 79,113)( 83, 93)( 87,101)
        ( 88, 97)( 91,105)( 92,102)( 95,100)( 96,114)( 98,117)( 99,126)(103,121)(104,118)(106,112)(107,140)(108,122)
        (110,116)(111,143)(115,125)(119,133)(120,129)(123,137)(124,134)(127,132)(128,144)(130,147)(131,152)(135,149)
        (136,148)(138,142)(139,150)(141,146)(145,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 30)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 45)
        ( 16, 26)( 18, 29)( 19, 49)( 23, 37)( 24, 33)( 27, 41)( 28, 38)( 31, 36)( 32, 53)( 34, 57)( 35, 66)( 39, 61)
        ( 40, 58)( 42, 48)( 43, 81)( 44, 62)( 46, 52)( 47, 85)( 50, 56)( 51, 89)( 54, 65)( 55, 93)( 59, 73)( 60, 69)
        ( 63, 77)( 64, 74)( 67, 72)( 68, 97)( 70,101)( 71,110)( 75,105)( 76,102)( 78, 84)( 79,124)( 80,106)( 82, 88)
        ( 83,128)( 86, 92)( 87,132)( 90, 96)( 91,133)( 94,100)( 95,136)( 98,109)( 99,139)(103,117)(104,113)(107,121)
        (108,118)(111,116)(112,143)(114,147)(115,152)(119,149)(120,148)(122,127)(123,150)(125,131)(126,145)(129,135)
        (130,141)(134,138)(137,142)(140,146)(144,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 72)( 32, 57)( 34, 40)( 35, 76)
        ( 38, 61)( 39, 80)( 43, 64)( 44, 62)( 46, 52)( 47, 91)( 48, 65)( 50, 56)( 51, 95)( 54, 60)( 55, 99)( 58, 68)
        ( 59,103)( 63, 84)( 66, 87)( 67, 85)( 69, 75)( 70,112)( 71,107)( 73, 79)( 74,115)( 77, 83)( 78,119)( 81, 86)
        ( 82, 90)( 88, 94)( 89,120)( 92, 98)( 93,123)( 96,102)( 97,127)(100,106)(101,131)(104,110)(105,135)(108,111)
        (109,139)(113,118)(114,140)(116,122)(117,144)(121,126)(124,130)(125,145)(128,134)(129,147)(132,138)(133,152)
        (136,142)(137,149)(141,143)(146,150)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 49)
        ( 16, 26)( 18, 29)( 19, 53)( 23, 41)( 24, 37)( 27, 45)( 28, 42)( 30, 36)( 31, 72)( 32, 57)( 34, 40)( 35, 76)
        ( 38, 61)( 39, 80)( 43, 64)( 44, 62)( 46, 52)( 47, 91)( 48, 65)( 50, 56)( 51, 95)( 54, 60)( 55, 99)( 58, 68)
        ( 59,103)( 63, 84)( 66, 87)( 67, 85)( 69, 75)( 70,113)( 71,107)( 73, 79)( 74,117)( 77, 83)( 78,121)( 81, 86)
        ( 82, 90)( 88, 94)( 89,122)( 92, 98)( 93,125)( 96,102)( 97,129)(100,106)(101,133)(104,110)(105,137)(108,111)
        (109,141)(112,116)(114,120)(115,142)(118,124)(119,146)(123,128)(126,132)(127,147)(130,136)(131,149)(134,140)
        (135,150)(138,144)(139,151)(143,145)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 77)
        ( 38, 61)( 39, 80)( 43, 65)( 44, 62)( 46, 52)( 47, 96)( 48, 66)( 50, 56)( 51,100)( 54, 60)( 55,103)( 58, 69)
        ( 59,107)( 63, 88)( 64, 84)( 67, 92)( 68, 89)( 70, 76)( 71,127)( 72,111)( 74, 79)( 75,128)( 78, 83)( 81, 87)
        ( 82,129)( 85,115)( 86,125)( 90,119)( 91,116)( 93, 99)( 94,143)( 95,120)( 97,102)( 98,144)(101,106)(104,110)
        (105,145)(108,114)(109,141)(112,123)(113,147)(117,135)(118,131)(121,139)(122,136)(124,130)(126,134)(132,151)
        (133,148)(137,149)(138,152)(140,146)(142,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 31)(  8, 17)( 11, 25)( 12, 22)( 14, 20)( 15, 47)
        ( 16, 26)( 18, 29)( 19, 51)( 23, 39)( 24, 35)( 27, 43)( 28, 40)( 30, 34)( 32, 38)( 33, 52)( 36, 55)( 37, 64)
        ( 41, 59)( 42, 56)( 44, 50)( 45, 79)( 46, 60)( 48, 54)( 49, 83)( 53, 63)( 57, 71)( 58, 67)( 61, 75)( 62, 72)
        ( 65, 70)( 66, 84)( 68, 87)( 69, 96)( 73, 91)( 74, 88)( 76, 82)( 77,111)( 78, 92)( 80, 86)( 81,115)( 85, 95)
        ( 89,103)( 90, 99)( 93,107)( 94,104)( 97,102)( 98,116)(100,119)(101,128)(105,123)(106,120)(108,114)(109,142)
        (110,124)(112,118)(113,145)(117,127)(121,135)(122,131)(125,139)(126,136)(129,134)(130,146)(132,138)(133,152)
        (137,149)(140,144)(141,150)(143,148)(147,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 21)(  7, 26)(  8, 17)( 11, 23)( 12, 22)( 14, 20)( 15, 31)
        ( 16, 24)( 18, 27)( 19, 35)( 25, 28)( 29, 34)( 30, 39)( 32, 38)( 33, 44)( 36, 42)( 37, 47)( 40, 43)( 41, 51)
        ( 45, 50)( 46, 55)( 48, 54)( 49, 60)( 52, 58)( 53, 63)( 56, 59)( 57, 67)( 61, 66)( 62, 71)( 64, 70)( 65, 76)
        ( 68, 74)( 69, 79)( 72, 75)( 73, 83)( 77, 82)( 78, 87)( 80, 86)( 81, 92)( 84, 90)( 85, 95)( 88, 91)( 89, 99)
        ( 93, 98)( 94,103)( 96,102)( 97,108)(100,106)(101,111)(104,107)(105,115)(109,114)(110,119)(112,118)(113,124)
        (116,122)(117,127)(120,123)(121,131)(125,130)(126,135)(128,134)(129,140)(132,138)(133,143)(136,139)(137,147)
        (141,146)(142,150)(144,149)(145,151)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 36)(  8, 18)( 10, 23)( 11, 47)( 12, 20)( 14, 17)
        ( 15, 35)( 16, 31)( 21, 43)( 22, 39)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 37, 42)
        ( 38, 56)( 40, 59)( 41, 84)( 44, 50)( 45, 92)( 46, 60)( 48, 54)( 49, 95)( 52, 63)( 53, 99)( 57, 83)( 58, 79)
        ( 61, 91)( 62, 87)( 64, 70)( 65,118)( 66,103)( 68, 74)( 69,121)( 72, 78)( 73,125)( 76, 82)( 77,129)( 80,106)
        ( 81,133)( 85, 90)( 86,107)( 88,110)( 89,142)( 93, 98)( 94,111)( 96,102)( 97,112)(100,105)(101,146)(104,114)
        (108,141)(109,137)(113,145)(115,120)(116,151)(117,147)(119,124)(122,128)(123,152)(126,132)(127,139)(130,136)
        (131,135)(134,140)(138,149)(143,148)(144,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 13)(  4,  9)(  6, 12)(  7, 29)(  8, 17)( 10, 21)( 11, 30)( 15, 20)( 16, 22)
        ( 18, 25)( 19, 38)( 23, 37)( 24, 33)( 26, 32)( 27, 53)( 28, 41)( 31, 36)( 34, 45)( 35, 54)( 39, 44)( 40, 46)
        ( 42, 49)( 43, 62)( 47, 61)( 48, 57)( 50, 56)( 51, 77)( 52, 65)( 55, 60)( 58, 69)( 59, 78)( 63, 68)( 64, 70)
        ( 66, 73)( 67, 86)( 71, 85)( 72, 81)( 74, 80)( 75,101)( 76, 89)( 79, 84)( 82, 93)( 83,102)( 87, 92)( 88, 94)
        ( 90, 97)( 91,110)( 95,109)( 96,105)( 98,104)( 99,125)(100,113)(103,108)(106,117)(107,126)(111,116)(112,118)
        (114,121)(115,134)(119,133)(120,129)(122,128)(123,148)(124,137)(127,132)(130,141)(131,149)(135,140)(136,142)
        (138,145)(139,152)(143,151)(144,147)(146,150),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 30)(  8, 17)( 10, 25)( 11, 41)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 50)( 23, 37)( 24, 33)( 27, 49)( 28, 45)( 31, 36)( 32, 53)( 34, 57)( 35, 66)( 38, 44)
        ( 39, 77)( 40, 58)( 42, 48)( 43, 81)( 46, 61)( 47, 85)( 51, 56)( 52, 62)( 54, 65)( 55, 93)( 59, 73)( 60, 69)
        ( 63, 92)( 64, 88)( 67, 72)( 68, 96)( 70,100)( 71,109)( 74, 80)( 75,120)( 76,101)( 78, 84)( 79,121)( 82, 87)
        ( 83,124)( 86, 91)( 89,104)( 90,125)( 94, 99)( 95,105)( 97,108)( 98,133)(102,116)(103,112)(106,132)(107,128)
        (110,115)(111,136)(113,139)(114,148)(117,123)(118,130)(119,140)(122,127)(126,131)(129,143)(134,138)(135,144)
        (137,147)(141,146)(142,152)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 32)(  8, 17)( 10, 25)( 11, 44)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 52)( 23, 40)( 24, 36)( 27, 51)( 28, 47)( 30, 35)( 31, 55)( 33, 39)( 34, 68)( 37, 59)
        ( 38, 71)( 41, 46)( 42, 83)( 43, 60)( 45, 50)( 48, 63)( 49, 84)( 53, 58)( 54, 64)( 56, 67)( 57, 92)( 61, 79)
        ( 62, 75)( 65, 91)( 66, 87)( 69, 74)( 70, 95)( 72, 78)( 73,108)( 76, 99)( 77,111)( 80, 86)( 81,123)( 82,100)
        ( 85, 90)( 88,103)( 89,124)( 93, 98)( 94,104)( 96,107)( 97,132)(101,119)(102,115)(105,131)(106,127)(109,114)
        (110,135)(112,118)(113,136)(116,139)(117,147)(120,126)(121,129)(122,140)(125,130)(128,143)(133,138)(134,144)
        (137,150)(141,146)(142,152)(145,149)(148,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 54)( 23, 41)( 24, 37)( 27, 53)( 28, 49)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 74)
        ( 38, 61)( 39, 77)( 42, 48)( 43, 89)( 44, 62)( 46, 52)( 47, 93)( 50, 65)( 51, 97)( 55, 60)( 56, 66)( 58, 69)
        ( 59,106)( 63, 85)( 64, 81)( 67,105)( 68,101)( 70, 76)( 71,124)( 72,109)( 75, 80)( 78, 84)( 79,125)( 82,113)
        ( 83,128)( 86, 92)( 87,140)( 88,114)( 90, 96)( 91,145)( 94,100)( 95,142)( 98,104)( 99,138)(102,117)(103,146)
        (107,112)(108,118)(110,121)(111,150)(115,136)(116,132)(119,149)(120,134)(122,127)(123,151)(126,131)(129,135)
        (130,152)(133,147)(137,143)(139,148)(141,144),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)(144,145)
        (146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 33)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 15, 20)
        ( 16, 26)( 18, 29)( 19, 54)( 23, 41)( 24, 37)( 27, 53)( 28, 49)( 30, 36)( 31, 73)( 32, 57)( 34, 40)( 35, 77)
        ( 38, 61)( 39, 80)( 42, 48)( 43, 92)( 44, 62)( 46, 52)( 47, 96)( 50, 65)( 51,100)( 55, 60)( 56, 66)( 58, 69)
        ( 59,109)( 63, 88)( 64, 84)( 67,108)( 68,104)( 70, 76)( 71,128)( 72,112)( 74, 79)( 75,129)( 78, 83)( 81, 87)
        ( 82,130)( 85,116)( 86,126)( 89, 95)( 90,139)( 91,117)( 93, 99)( 94,143)( 97,103)( 98,148)(101,107)(102,145)
        (105,120)(106,141)(110,115)(111,121)(113,124)(114,150)(118,135)(119,132)(122,149)(123,137)(125,131)(127,134)
        (133,151)(136,142)(138,152)(140,146)(144,147),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152) ), rec(
      invers := (  1,  5)(  2, 14)(  3, 13)(  4,  9)(  6, 21)(  7, 31)(  8, 17)( 10, 23)( 11, 32)( 12, 22)( 15, 20)
        ( 16, 24)( 18, 27)( 19, 40)( 25, 39)( 26, 35)( 28, 34)( 29, 55)( 30, 43)( 33, 38)( 36, 47)( 37, 56)( 41, 46)
        ( 42, 48)( 44, 51)( 45, 64)( 49, 63)( 50, 59)( 52, 58)( 53, 79)( 54, 67)( 57, 62)( 60, 71)( 61, 80)( 65, 70)
        ( 66, 72)( 68, 75)( 69, 88)( 73, 87)( 74, 83)( 76, 82)( 77,103)( 78, 91)( 81, 86)( 84, 95)( 85,104)( 89, 94)
        ( 90, 96)( 92, 99)( 93,112)( 97,111)( 98,107)(100,106)(101,127)(102,115)(105,110)(108,119)(109,128)(113,118)
        (114,120)(116,123)(117,136)(121,135)(122,131)(124,130)(125,150)(126,139)(129,134)(132,143)(133,151)(137,142)
        (138,144)(140,147)(141,145)(146,149)(148,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  5)(  2, 16)(  3, 25)(  4, 10)(  6, 15)(  7, 27)(  8, 20)(  9, 12)( 11, 13)( 14, 24)( 17, 23)
        ( 18, 36)( 19, 28)( 21, 30)( 22, 40)( 26, 31)( 29, 32)( 33, 39)( 34, 48)( 35, 41)( 37, 43)( 38, 52)( 42, 44)
        ( 45, 51)( 46, 60)( 47, 53)( 49, 55)( 50, 64)( 54, 56)( 57, 63)( 58, 72)( 59, 65)( 61, 67)( 62, 76)( 66, 68)
        ( 69, 75)( 70, 84)( 71, 77)( 73, 79)( 74, 88)( 78, 80)( 81, 87)( 82, 96)( 83, 89)( 85, 91)( 86,100)( 90, 92)
        ( 93, 99)( 94,108)( 95,101)( 97,103)( 98,112)(102,104)(105,111)(106,120)(107,113)(109,115)(110,124)(114,116)
        (117,123)(118,132)(119,125)(121,127)(122,136)(126,128)(129,135)(130,144)(131,137)(133,139)(134,147)(138,140)
        (141,146)(142,152)(143,148)(145,150)(149,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152) ), rec(
      invers := (  1,  5)(  2, 16)(  3, 25)(  4, 10)(  6, 15)(  7, 27)(  8, 20)(  9, 12)( 11, 13)( 14, 24)( 17, 23)
        ( 18, 36)( 19, 28)( 21, 30)( 22, 40)( 26, 31)( 29, 32)( 33, 39)( 34, 48)( 35, 41)( 37, 43)( 38, 52)( 42, 44)
        ( 45, 51)( 46, 60)( 47, 53)( 49, 55)( 50, 64)( 54, 56)( 57, 63)( 58, 72)( 59, 65)( 61, 67)( 62, 76)( 66, 68)
        ( 69, 75)( 70, 84)( 71, 77)( 73, 79)( 74, 88)( 78, 80)( 81, 87)( 82, 96)( 83, 89)( 85, 91)( 86,100)( 90, 92)
        ( 93, 99)( 94,108)( 95,101)( 97,103)( 98,112)(102,104)(105,111)(106,120)(107,113)(109,115)(110,124)(114,116)
        (117,123)(118,132)(119,125)(121,127)(122,136)(126,128)(129,135)(130,144)(131,137)(133,139)(134,148)(138,140)
        (141,147)(142,152)(143,149)(145,150)(146,151),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152) ), 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)( 96,118)( 99,105)(100,130)(101,122)(104,109)(107,113)(108,131)(111,117)
        (112,134)(115,121)(116,138)(119,125)(120,142)(123,126)(124,145)(127,133)(128,150)(129,149)(132,137)(135,141)
        (136,151)(139,144)(140,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), 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)( 57,106)
        ( 60, 71)( 61,110)( 65, 70)( 66, 91)( 68, 94)( 69,119)( 72, 78)( 73,115)( 74,114)( 76, 82)( 77,127)( 80, 86)
        ( 81,130)( 84, 90)( 85,124)( 88, 93)( 89,121)( 92,118)( 95,101)( 96,134)( 97,122)( 99,105)(100,138)(103,109)
        (104,142)(107,113)(108,145)(111,117)(112,149)(116,126)(120,125)(123,131)(128,133)(129,150)(132,137)(135,141)
        (136,151)(139,144)(140,147)(143,148)(146,152),
      nbP := 152,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  3)(  2, 12)(  4, 10)(  5, 29)(  6, 16)(  7, 11)(  8, 18)(  9, 33)( 13, 15)( 14, 22)( 17, 26)
        ( 19, 25)( 20, 45)( 21, 37)( 23, 28)( 24, 49)( 27, 32)( 30, 36)( 31, 50)( 34, 40)( 35, 53)( 38, 41)( 39, 57)
        ( 42, 48)( 43, 69)( 44, 61)( 46, 52)( 47, 73)( 51, 56)( 54, 60)( 55, 74)( 58, 64)( 59, 77)( 62, 65)( 63, 81)
        ( 66, 72)( 67, 93)( 68, 85)( 70, 76)( 71, 97)( 75, 80)( 78, 84)( 79, 98)( 82, 88)( 83,101)( 86, 89)( 87,105)
        ( 90, 96)( 91,117)( 92,109)( 94,100)( 95,121)( 99,104)(102,108)(103,122)(106,112)(107,125)(110,113)(111,129)
        (114,120)(115,138)(116,133)(118,124)(119,141)(123,128)(126,132)(127,142)(130,136)(131,145)(134,137)(135,149)
        (139,144)(140,150)(143,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)
        ( 45, 46, 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), 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, 87)( 59, 65)( 60, 90)
        ( 63, 69)( 64, 94)( 67, 73)( 68, 98)( 71, 74)( 72,102)( 75, 81)( 76,114)( 77,106)( 79, 85)( 80,118)( 83, 89)
        ( 84,122)( 88, 93)( 91, 97)( 92,123)( 95,101)( 96,126)( 99,105)(100,130)(103,109)(104,133)(107,110)(108,137)
        (111,117)(112,142)(113,141)(115,121)(116,146)(119,125)(120,149)(124,129)(127,132)(128,150)(131,136)(134,140)
        (135,151)(138,144)(139,148)(143,145)(147,152),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  3)(  2, 12)(  4, 10)(  5, 35)(  6, 16)(  7, 11)(  8, 19)(  9, 39)( 13, 15)( 14, 23)( 17, 31)
        ( 18, 27)( 20, 26)( 21, 52)( 22, 43)( 24, 30)( 25, 55)( 28, 47)( 29, 59)( 32, 38)( 33, 71)( 34, 48)( 36, 42)
        ( 37, 75)( 40, 46)( 41, 79)( 44, 51)( 45, 80)( 49, 67)( 50, 63)( 53, 58)( 54, 83)( 56, 62)( 57, 92)( 60, 66)
        ( 61, 95)( 64, 87)( 65, 99)( 68, 74)( 69,109)( 70, 88)( 72, 78)( 73,113)( 76, 82)( 77,117)( 81, 86)( 84, 91)
        ( 85,118)( 89,106)( 90,103)( 93, 98)( 94,121)( 96,102)( 97,130)(100,105)(101,133)(104,125)(107,112)(108,126)
        (110,116)(111,138)(114,120)(115,141)(119,124)(122,129)(123,142)(127,137)(128,134)(131,136)(132,145)(135,149)
        (139,144)(140,150)(143,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  3)(  2, 12)(  4, 10)(  5, 35)(  6, 16)(  7, 11)(  8, 19)(  9, 39)( 13, 15)( 14, 23)( 17, 31)
        ( 18, 27)( 20, 26)( 21, 55)( 22, 43)( 24, 30)( 25, 59)( 28, 47)( 29, 63)( 32, 38)( 33, 75)( 34, 48)( 36, 42)
        ( 37, 79)( 40, 46)( 41, 83)( 44, 51)( 45, 87)( 49, 71)( 50, 67)( 52, 58)( 53,103)( 54, 91)( 56, 62)( 57,107)
        ( 60, 66)( 61,108)( 64, 70)( 65,111)( 68, 95)( 69,114)( 72, 78)( 73,126)( 74, 96)( 76, 82)( 77,130)( 80, 86)
        ( 81,133)( 84, 90)( 85,134)( 88, 94)( 89,137)( 92, 99)( 93,141)( 97,122)( 98,118)(100,106)(101,120)(102,145)
        (104,110)(105,116)(109,113)(112,117)(115,121)(119,149)(123,129)(124,143)(125,150)(127,132)(128,139)(131,136)
        (135,140)(138,144)(142,148)(146,152)(147,151),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152) ), rec(
      invers := (  1,  3)(  2, 12)(  4, 10)(  5, 31)(  6, 16)(  7, 11)(  8, 19)(  9, 35)( 13, 15)( 14, 23)( 17, 28)
        ( 18, 27)( 20, 26)( 21, 47)( 22, 39)( 24, 30)( 25, 51)( 29, 34)( 32, 38)( 33, 52)( 36, 42)( 37, 55)( 40, 43)
        ( 41, 59)( 44, 50)( 45, 71)( 46, 63)( 48, 54)( 49, 75)( 53, 58)( 56, 62)( 57, 76)( 60, 66)( 61, 79)( 64, 67)
        ( 65, 83)( 68, 74)( 69, 95)( 70, 87)( 72, 78)( 73, 99)( 77, 82)( 80, 86)( 81,100)( 84, 90)( 85,103)( 88, 91)
        ( 89,107)( 92, 98)( 93,119)( 94,111)( 96,102)( 97,123)(101,106)(104,110)(105,124)(108,114)(109,127)(112,115)
        (113,131)(116,122)(117,140)(118,135)(120,126)(121,143)(125,130)(128,134)(129,144)(132,138)(133,147)(136,139)
        (137,150)(141,146)(142,151)(145,149)(148,152),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152) ), rec(
      invers := (  1,  3)(  2,151)(  4,147)(  5,152)(  6, 10)(  7, 12)(  8, 17)(  9, 14)( 11, 13)( 15, 21)( 16, 18)
        ( 19, 25)( 20, 22)( 23, 29)( 24, 26)( 27, 33)( 28, 30)( 31, 37)( 32, 34)( 35, 41)( 36, 38)( 39, 45)( 40, 42)
        ( 43, 49)( 44, 46)( 47, 53)( 48, 50)( 51, 57)( 52, 54)( 55, 61)( 56, 58)( 59, 65)( 60, 62)( 63, 69)( 64, 66)
        ( 67, 73)( 68, 70)( 71, 77)( 72, 74)( 75, 81)( 76, 78)( 79, 85)( 80, 82)( 83, 89)( 84, 86)( 87, 93)( 88, 90)
        ( 91, 97)( 92, 94)( 95,101)( 96, 98)( 99,105)(100,102)(103,109)(104,106)(107,113)(108,110)(111,117)(112,114)
        (115,121)(116,118)(119,125)(120,122)(123,129)(124,126)(127,133)(128,130)(131,137)(132,134)(135,141)(136,138)
        (139,145)(140,142)(143,149)(144,146)(148,150),
      nbP := 152,
      next := (  1,  2)(  3,  4,  5)(  6,  7,  8,  9)( 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24
         )( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152) ) ];
