return [ rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 20)( 11, 40)( 14, 19)( 15, 52)
        ( 16, 28)( 18, 32)( 21, 27)( 22, 60)( 23, 44)( 25, 31)( 26, 64)( 29, 48)( 30, 68)( 33, 39)( 34, 80)( 35, 53)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 56)( 46, 92)( 49, 55)( 50,104)( 51, 72)( 54, 76)( 57, 63)( 58,112)
        ( 59, 96)( 61, 67)( 62,116)( 65, 71)( 66,121)( 69, 75)( 70,118)( 73,100)( 74,114)( 77, 83)( 78,126)( 79,105)
        ( 81, 87)( 82,130)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,108)( 98,146)(101,107)(102,153)
        (103,110)(106,122)(109,115)(111,150)(113,119)(117,120)(123,129)(124,144)(125,154)(127,133)(128,140)(131,137)
        (132,136)(135,141)(139,145)(143,149)(147,152)(148,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), 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, 86)( 52, 80)( 54, 60)( 55,108)
        ( 58, 64)( 59,112)( 62, 84)( 63,113)( 66, 71)( 67,120)( 68,104)( 70, 75)( 73, 79)( 74,121)( 77, 83)( 78,124)
        ( 81, 90)( 82,128)( 85, 91)( 87,111)( 89, 95)( 93, 99)( 94,129)( 97,103)( 98,132)(101,107)(102,136)(105,116)
        (106,140)(109,115)(110,114)(117,123)(118,151)(119,144)(122,127)(125,131)(126,152)(130,135)(133,139)(134,153)
        (137,143)(138,149)(141,146)(142,156)(145,147)(148,154)(150,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 36)(  8, 17)( 10, 21)( 11, 40)( 14, 20)( 15, 38)
        ( 16, 29)( 18, 34)( 19, 33)( 22, 28)( 23, 52)( 24, 44)( 26, 32)( 27, 56)( 30, 42)( 31, 60)( 35, 39)( 37, 43)
        ( 41, 47)( 45, 48)( 46, 61)( 49, 55)( 50, 72)( 51, 64)( 53, 59)( 54, 76)( 57, 63)( 58, 80)( 62, 67)( 65, 68)
        ( 66, 81)( 69, 75)( 70, 92)( 71, 84)( 73, 79)( 74, 96)( 77, 83)( 78,100)( 82, 87)( 85, 88)( 86,101)( 89, 95)
        ( 90,112)( 91,104)( 93, 99)( 94,116)( 97,103)( 98,120)(102,107)(105,108)(106,121)(109,115)(110,131)(111,124)
        (113,119)(114,135)(117,123)(118,139)(122,127)(125,128)(126,140)(129,134)(130,143)(132,138)(133,148)(136,142)
        (137,151)(141,146)(144,147)(145,152)(149,154)(150,156)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 12)(  7, 37)(  8, 17)( 10, 21)( 11, 41)( 14, 20)( 15, 36)
        ( 16, 29)( 18, 34)( 19, 33)( 22, 28)( 23, 53)( 24, 45)( 26, 32)( 27, 57)( 30, 39)( 31, 61)( 35, 40)( 38, 44)
        ( 42, 48)( 43, 62)( 46, 49)( 47, 65)( 50, 56)( 51, 77)( 52, 69)( 54, 60)( 55, 81)( 58, 64)( 59, 85)( 63, 68)
        ( 66, 72)( 67, 86)( 70, 73)( 71, 89)( 74, 80)( 75,101)( 76, 93)( 78, 84)( 79,105)( 82, 88)( 83,109)( 87, 92)
        ( 90, 96)( 91,110)( 94, 97)( 95,113)( 98,104)( 99,124)(100,117)(102,108)(103,128)(106,112)(107,132)(111,116)
        (114,120)(115,133)(118,121)(119,136)(122,127)(123,140)(125,131)(126,145)(129,135)(130,148)(134,139)(137,143)
        (138,149)(141,144)(142,152)(146,151)(147,156)(150,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), 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)( 90,143)( 93, 99)( 94,135)( 97,108)( 98,107)(102,112)(103,109)
        (106,132)(110,129)(113,119)(114,147)(115,130)(117,123)(118,151)(121,127)(122,152)(125,131)(126,150)(133,139)
        (134,144)(137,142)(138,156)(141,146)(145,155)(148,154)(149,153),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 78,132)( 81, 87)
        ( 82,144)( 83,105)( 85, 91)( 86,149)( 89, 95)( 90,146)( 93, 99)( 94,142)( 97,108)( 98,150)(102,112)(103,109)
        (106,140)(107,136)(110,153)(111,138)(113,119)(114,126)(115,154)(117,123)(118,122)(121,127)(125,131)(129,135)
        (130,155)(133,139)(134,156)(137,151)(141,147)(143,152)(145,148),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152)(153,154,155,156) ), 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)( 74,156)( 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)(125,155)(130,132)(133,139)(134,145)
        (137,143)(138,148)(141,147)(142,154)(146,151)(149,153)(150,152),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 77)
        ( 37, 64)( 38, 80)( 41, 47)( 42, 92)( 43, 65)( 45, 51)( 46, 96)( 49, 68)( 50,100)( 54, 59)( 55, 69)( 57, 63)
        ( 58,108)( 61, 72)( 62,111)( 66, 88)( 67, 84)( 70,107)( 71,103)( 73, 79)( 74,131)( 75,115)( 78, 83)( 81, 87)
        ( 82,132)( 85,119)( 86,135)( 89, 95)( 90,148)( 91,120)( 93, 99)( 94,145)( 97,102)( 98,149)(101,106)(104,123)
        (105,150)(109,114)(110,124)(112,118)(113,154)(116,128)(117,127)(121,143)(122,139)(125,153)(126,141)(129,134)
        (130,155)(133,138)(136,142)(137,156)(140,151)(144,147)(146,152),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 56)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 76)( 31, 60)( 33, 39)( 34, 80)
        ( 37, 64)( 38, 84)( 41, 47)( 42, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 54, 59)( 55, 69)( 57, 63)
        ( 58,113)( 61, 72)( 62,116)( 66, 92)( 67, 88)( 70,112)( 71,108)( 73, 79)( 74, 78)( 75,120)( 77, 83)( 81, 87)
        ( 82,121)( 85, 91)( 86,131)( 89,124)( 90,135)( 93, 99)( 94,143)( 95,125)( 97,103)( 98,147)(101,107)(102,152)
        (105,111)(106,149)(109,127)(110,145)(114,119)(115,128)(117,123)(118,154)(122,134)(126,139)(129,153)(130,141)
        (132,138)(133,155)(136,142)(137,156)(140,146)(144,150)(148,151),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 53, 59)( 54,116)( 55, 69)
        ( 58, 63)( 61, 72)( 62,117)( 66, 92)( 67, 88)( 70,112)( 71,108)( 73, 79)( 74,121)( 75,120)( 77, 83)( 78,132)
        ( 81, 87)( 82,135)( 85, 91)( 86,139)( 89,124)( 90,140)( 93, 99)( 94,147)( 95,125)( 97,103)( 98,151)(101,107)
        (102,156)(105,111)(106,153)(109,127)(110,149)(113,119)(114,134)(115,128)(118,123)(122,131)(126,143)(129,137)
        (130,145)(133,138)(136,142)(141,146)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 96)( 43, 65)( 45, 51)( 46,100)( 49, 68)( 50,104)( 53, 59)( 54,116)( 55, 69)
        ( 58, 63)( 61, 72)( 62,117)( 66, 92)( 67, 88)( 70,112)( 71,108)( 73, 79)( 74, 78)( 75,120)( 77, 83)( 81, 87)
        ( 82,121)( 85, 91)( 86,132)( 89,124)( 90,136)( 93, 99)( 94,148)( 95,125)( 97,103)( 98,153)(101,107)(102,150)
        (105,111)(106,146)(109,128)(110,154)(113,119)(114,134)(115,129)(118,123)(122,135)(126,144)(127,140)(130,138)
        (131,142)(133,139)(137,143)(141,155)(145,151)(147,156)(149,152),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153)(154,155,156) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 44)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 25)( 17, 28)( 18, 60)( 22, 40)( 23, 36)( 26, 52)( 27, 48)( 29, 35)( 30, 79)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 83)( 41, 47)( 42, 91)( 43, 69)( 45, 51)( 46, 95)( 49, 71)( 50, 99)( 53, 59)( 54,111)( 55, 72)
        ( 57, 63)( 58,115)( 61, 67)( 62,119)( 65, 75)( 66,123)( 70, 87)( 73,107)( 74,103)( 76, 82)( 77,139)( 78,127)
        ( 81, 86)( 84, 90)( 85,140)( 88, 94)( 89,143)( 92, 98)( 93,147)( 96,102)( 97,151)(100,106)(101,156)(104,131)
        (105,153)(108,114)(109,129)(110,132)(112,118)(113,125)(116,122)(117,121)(120,126)(124,130)(128,135)(133,138)
        (134,149)(136,142)(137,145)(141,146)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 77)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 96)( 43, 69)( 45, 51)( 46,100)( 49, 72)( 50,104)( 53, 59)( 54,113)( 55, 73)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 76)( 66,124)( 70, 92)( 71, 88)( 74,112)( 75,108)( 78, 83)( 79,128)
        ( 81, 87)( 82,141)( 85, 91)( 86,144)( 89,132)( 90,139)( 93, 99)( 94,151)( 95,133)( 97,103)( 98,156)(101,107)
        (102,153)(105,111)(106,150)(109,136)(110,135)(114,119)(115,137)(117,123)(118,146)(121,127)(122,143)(125,131)
        (126,130)(129,140)(134,148)(138,145)(142,147)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156) ), 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, 77)( 31, 64)( 33, 39)( 34, 80)
        ( 37, 68)( 38, 84)( 41, 47)( 42, 95)( 43, 69)( 45, 51)( 46, 99)( 49, 72)( 50,103)( 53, 59)( 54,115)( 55, 73)
        ( 57, 63)( 58,119)( 61, 67)( 62,123)( 65, 76)( 66,127)( 70, 92)( 71, 88)( 74,111)( 75,107)( 78, 83)( 79,131)
        ( 81, 87)( 82,144)( 85, 91)( 86,147)( 89,135)( 90,142)( 93, 98)( 94,136)( 96,102)( 97,152)(100,106)(101,156)
        (104,110)(105,154)(108,139)(109,138)(112,118)(113,149)(114,140)(116,122)(117,146)(120,126)(121,133)(124,130)
        (125,129)(128,134)(132,143)(137,151)(141,148)(145,150)(153,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 76)( 66,129)( 70, 96)( 71, 92)( 74,116)( 75,112)( 77, 83)( 78,126)
        ( 79,133)( 81, 87)( 82,122)( 85, 91)( 86,118)( 89, 95)( 90,140)( 93,134)( 94,141)( 97,103)( 98,146)( 99,135)
        (101,107)(102,149)(105,111)(106,153)(109,115)(110,145)(113,138)(114,137)(117,123)(119,139)(121,127)(125,131)
        (130,132)(136,142)(143,148)(144,154)(147,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 76)( 66,133)( 70, 96)( 71, 92)( 74,116)( 75,112)( 77, 83)( 78,126)
        ( 79,130)( 81, 87)( 82,122)( 85, 91)( 86,118)( 89, 95)( 90,140)( 93,134)( 94,141)( 97,103)( 98,146)( 99,135)
        (101,107)(102,150)(105,111)(106,154)(109,115)(110,145)(113,138)(114,137)(117,123)(119,139)(121,127)(125,131)
        (129,132)(136,142)(143,149)(144,155)(147,153)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 65)( 31, 64)( 33, 39)( 34, 77)
        ( 37, 68)( 38, 80)( 41, 47)( 42, 92)( 43, 69)( 45, 51)( 46, 95)( 49, 72)( 50, 99)( 53, 59)( 54,111)( 55, 73)
        ( 57, 63)( 58,115)( 61, 67)( 62,119)( 66, 76)( 70, 88)( 71, 84)( 74,107)( 75,103)( 78, 83)( 79,120)( 81, 87)
        ( 82,128)( 85,123)( 86,131)( 89, 94)( 90,143)( 91,124)( 93, 98)( 96,102)( 97,144)(100,106)(101,147)(104,110)
        (105,151)(108,114)(109,137)(112,118)(113,133)(116,122)(117,130)(121,127)(125,139)(126,135)(129,134)(132,138)
        (136,152)(140,146)(141,156)(142,153)(145,150)(148,154)(149,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  4)(  2, 12)(  3,  8)(  5, 20)(  6, 32)(  7, 16)(  9, 24)( 10, 42)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 25)( 17, 28)( 18, 57)( 22, 40)( 23, 36)( 26, 49)( 27, 46)( 29, 35)( 30, 73)( 31, 61)( 33, 39)( 34, 77)
        ( 37, 44)( 38, 68)( 41, 45)( 43, 48)( 47, 65)( 50, 56)( 51, 81)( 52, 66)( 54, 60)( 55, 85)( 58, 64)( 59, 89)
        ( 62, 69)( 63, 93)( 67, 78)( 70, 76)( 71,105)( 72, 97)( 74, 80)( 75,109)( 79, 84)( 82, 88)( 83,110)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 94,100)( 95,121)( 98,101)( 99,125)(102,108)(103,134)(104,129)(106,112)(107,137)
        (111,116)(114,120)(115,138)(118,124)(119,141)(122,128)(123,145)(126,132)(127,146)(130,133)(131,149)(135,140)
        (136,153)(139,144)(142,148)(143,154)(147,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)( 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 62,116)( 65, 76)( 66,119)( 71, 85)( 74,104)( 75,100)( 77, 83)( 78,135)( 79,123)
        ( 81, 87)( 82,139)( 86, 91)( 89, 95)( 90,140)( 93, 99)( 94,143)( 97,103)( 98,147)(101,127)(102,152)(105,111)
        (106,134)(107,128)(109,115)(110,125)(113,118)(114,121)(117,122)(120,126)(124,131)(129,153)(130,149)(132,138)
        (133,154)(136,142)(137,155)(141,146)(144,150)(145,156)(148,151),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 34)( 31, 64)( 33, 39)( 37, 68)
        ( 38, 65)( 41, 47)( 42, 84)( 43, 69)( 45, 51)( 46, 88)( 49, 72)( 50, 92)( 53, 59)( 54,104)( 55, 73)( 57, 63)
        ( 58,108)( 61, 67)( 62,112)( 66, 79)( 70, 80)( 71, 76)( 74,100)( 75, 96)( 77, 83)( 78,113)( 81, 87)( 82,120)
        ( 85, 91)( 86,124)( 89, 95)( 90,128)( 93, 99)( 94,131)( 97,116)( 98,135)(101,107)(102,145)(103,117)(105,111)
        (106,146)(109,115)(110,149)(114,123)(118,141)(119,140)(121,127)(122,150)(125,130)(126,153)(129,134)(132,138)
        (133,154)(136,139)(137,144)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 34)( 31, 64)( 33, 39)( 37, 68)
        ( 38, 65)( 41, 47)( 42, 81)( 43, 69)( 45, 51)( 46, 84)( 49, 72)( 50, 88)( 53, 59)( 54,100)( 55, 73)( 57, 63)
        ( 58,104)( 61, 67)( 62,108)( 66, 79)( 70, 80)( 71, 76)( 74, 96)( 75, 92)( 77,112)( 78,109)( 82, 87)( 83,113)
        ( 85, 91)( 86,125)( 89, 95)( 90,128)( 93,116)( 94,132)( 97,103)( 98,142)( 99,117)(101,107)(102,143)(105,111)
        (106,146)(110,123)(114,124)(115,120)(118,138)(119,137)(121,150)(122,147)(126,131)(127,151)(129,135)(130,154)
        (133,136)(134,141)(139,145)(140,155)(144,149)(148,156)(152,153),
      nbP := 156,
      next := (  1,  2,  3)(  4,  5,  6,  7)(  8,  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 22)(  4,  9)(  6, 17)(  7, 33)(  8, 14)( 10, 21)( 11, 45)( 12, 18)( 15, 29)
        ( 16, 25)( 19, 41)( 20, 37)( 23, 28)( 24, 49)( 26, 53)( 27, 62)( 30, 36)( 31, 73)( 32, 54)( 34, 40)( 35, 76)
        ( 38, 57)( 39, 80)( 42, 48)( 43, 92)( 44, 58)( 46, 52)( 47, 96)( 50, 61)( 51,100)( 55, 69)( 56, 65)( 59, 88)
        ( 60, 84)( 63, 68)( 64,104)( 66,108)( 67,117)( 70, 75)( 71,128)( 72,109)( 74, 79)( 77, 83)( 78,129)( 81, 87)
        ( 82,126)( 85,112)( 86,131)( 89, 95)( 90,143)( 91,113)( 93, 99)( 94,147)( 97,103)( 98,152)(101,107)(102,149)
        (105,116)(106,145)(110,124)(111,120)(114,139)(115,135)(118,123)(119,141)(121,133)(122,156)(125,130)(127,134)
        (132,138)(136,154)(137,153)(140,146)(142,155)(144,150)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 64)( 24, 53)( 26, 32)( 27, 68)( 30, 36)( 31, 72)( 34, 40)( 35, 76)
        ( 38, 44)( 39, 80)( 42, 57)( 43, 84)( 46, 52)( 47, 96)( 48, 58)( 50, 56)( 51,100)( 54, 61)( 55,104)( 59, 92)
        ( 60, 88)( 62, 67)( 63,107)( 65, 71)( 66,116)( 69, 75)( 70,119)( 73, 79)( 74,123)( 77, 83)( 78,127)( 81, 87)
        ( 82,131)( 85, 91)( 86,135)( 89,111)( 90,139)( 93, 99)( 94,152)( 95,112)( 97,103)( 98,149)(101,106)(102,153)
        (105,110)(108,115)(109,154)(113,147)(114,143)(117,122)(118,145)(120,126)(121,141)(124,130)(125,137)(128,134)
        (129,133)(132,138)(136,142)(140,146)(144,155)(148,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 44)( 20, 40)( 22, 27)( 23, 52)( 25, 31)( 26, 65)( 29, 56)( 30, 68)( 33, 39)( 34, 80)( 35, 57)
        ( 37, 43)( 38, 84)( 41, 60)( 42, 88)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,104)( 53, 64)( 54,108)( 58, 76)
        ( 59, 72)( 62, 96)( 63, 92)( 66, 71)( 67,112)( 69, 75)( 70,125)( 73,116)( 74,128)( 77, 83)( 78,138)( 79,117)
        ( 81, 87)( 82,139)( 85, 91)( 86,134)( 89, 95)( 90,130)( 93,120)( 94,127)( 97,103)( 98,146)( 99,121)(101,107)
        (102,150)(105,111)(106,154)(109,115)(110,145)(113,124)(114,123)(118,136)(119,132)(122,142)(126,131)(129,135)
        (133,140)(137,141)(143,149)(144,155)(147,153)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 24)(  4,  9)(  6, 17)(  7, 36)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 32)
        ( 16, 28)( 19, 44)( 20, 40)( 22, 27)( 23, 52)( 25, 31)( 26, 65)( 29, 56)( 30, 68)( 33, 39)( 34, 80)( 35, 57)
        ( 37, 43)( 38, 84)( 41, 60)( 42, 88)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,104)( 53, 64)( 54,108)( 58, 76)
        ( 59, 72)( 62, 96)( 63, 92)( 66, 71)( 67,112)( 69, 75)( 70,125)( 73,116)( 74,128)( 77, 83)( 78,141)( 79,117)
        ( 81, 87)( 82,138)( 85, 91)( 86,134)( 89, 95)( 90,130)( 93,120)( 94,127)( 97,103)( 98,146)( 99,121)(101,107)
        (102,149)(105,111)(106,153)(109,115)(110,145)(113,124)(114,123)(118,136)(119,132)(122,142)(126,131)(129,135)
        (133,139)(137,140)(143,148)(144,154)(147,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 17)(  7, 37)(  8, 14)( 10, 21)( 11, 48)( 12, 18)( 15, 33)
        ( 16, 29)( 19, 44)( 20, 40)( 22, 28)( 23, 68)( 24, 52)( 26, 32)( 27, 72)( 30, 56)( 31, 76)( 34, 39)( 35, 88)
        ( 36, 57)( 38, 43)( 41, 60)( 42, 89)( 45, 51)( 46,100)( 47, 61)( 49, 55)( 50,103)( 53, 64)( 54,107)( 58, 84)
        ( 59, 80)( 62, 96)( 63, 92)( 65, 71)( 66,127)( 67,111)( 69, 75)( 70,131)( 73, 79)( 74,135)( 77, 83)( 78,139)
        ( 81,115)( 82,140)( 85, 91)( 86,125)( 87,116)( 90, 95)( 93,119)( 94,126)( 97,102)( 98,151)( 99,120)(101,106)
        (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)(136,142)(137,156)(141,146)(145,155)(148,154)(149,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 51,112)( 54, 65)( 55,116)
        ( 59, 85)( 60, 81)( 63,104)( 64,100)( 66, 72)( 67,136)( 68,120)( 70, 76)( 71,140)( 74, 80)( 75,144)( 78, 84)
        ( 79,145)( 82,125)( 83,124)( 86, 92)( 87,142)( 88,126)( 90, 96)( 91,138)( 94, 99)( 95,134)( 98,103)(101,128)
        (102,135)(105,111)(106,151)(107,129)(109,115)(110,156)(113,119)(114,153)(117,123)(118,150)(121,132)(122,131)
        (127,146)(130,148)(133,139)(137,143)(141,147)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156) ), 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, 45)( 20, 41)( 22, 28)( 23, 62)( 24, 51)( 26, 32)( 27, 66)( 30, 54)( 31, 70)( 34, 40)( 35, 82)
        ( 36, 55)( 38, 44)( 39, 86)( 42, 49)( 43, 61)( 46, 50)( 48, 53)( 52, 58)( 56, 78)( 57, 74)( 59, 65)( 60, 87)
        ( 63, 69)( 64, 94)( 67, 73)( 68, 98)( 71, 77)( 72,102)( 75, 90)( 76,106)( 79, 85)( 80,117)( 81, 91)( 83, 89)
        ( 84,121)( 88, 97)( 92,114)( 93,110)( 95,101)( 96,122)( 99,105)(100,129)(103,109)(104,133)(107,113)(108,137)
        (111,125)(112,141)(115,120)(116,126)(118,124)(119,150)(123,132)(127,149)(128,145)(130,136)(131,151)(134,140)
        (135,155)(138,144)(139,156)(142,148)(143,147)(146,153)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 28)( 18, 32)( 19, 60)( 23, 40)( 26, 31)( 27, 48)( 29, 52)( 30, 69)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 68)( 50, 96)( 53, 59)( 54,108)( 55, 72)( 57, 63)
        ( 58,112)( 61, 67)( 62,115)( 65, 76)( 66,119)( 70, 75)( 71,100)( 73,104)( 74,128)( 77, 83)( 78, 82)( 79,123)
        ( 81, 87)( 85, 91)( 86,124)( 89, 95)( 90,135)( 93, 99)( 94,139)( 97,103)( 98,143)(101,127)(102,148)(105,111)
        (106,153)(107,131)(109,114)(110,154)(113,118)(116,122)(117,155)(120,126)(121,151)(125,138)(129,134)(130,145)
        (132,149)(133,141)(136,142)(137,152)(140,146)(144,147)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 21)(  7, 36)(  8, 17)( 10, 24)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 28)( 18, 32)( 19, 60)( 23, 40)( 26, 31)( 27, 48)( 29, 52)( 30, 69)( 33, 39)( 34, 80)( 35, 64)
        ( 37, 43)( 38, 84)( 41, 47)( 42, 88)( 45, 51)( 46, 92)( 49, 68)( 50, 96)( 53, 59)( 54,108)( 55, 72)( 57, 63)
        ( 58,111)( 61, 67)( 62,115)( 65, 77)( 66, 76)( 70, 75)( 71,100)( 73,104)( 74,120)( 78, 83)( 79,116)( 81, 87)
        ( 82,128)( 85, 91)( 86,131)( 89, 95)( 90,135)( 93, 99)( 94,139)( 97,103)( 98,143)(101,119)(102,148)(105,110)
        (106,153)(107,123)(109,114)(112,118)(113,154)(117,127)(121,126)(122,145)(124,149)(125,141)(129,134)(130,155)
        (132,138)(133,151)(136,142)(137,152)(140,146)(144,147)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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, 68)( 27, 48)( 30, 52)( 33, 39)( 34, 76)( 35, 61)
        ( 37, 43)( 38, 80)( 41, 47)( 42, 83)( 45, 51)( 46, 87)( 49, 64)( 50, 91)( 53, 59)( 54,103)( 55, 69)( 57, 63)
        ( 58,107)( 62, 72)( 65, 71)( 66,115)( 67, 95)( 70, 99)( 73, 79)( 74,123)( 75,108)( 77, 82)( 78,127)( 81, 86)
        ( 84, 90)( 85,128)( 88, 94)( 89,131)( 92, 98)( 93,135)( 96,111)( 97,140)(100,106)(101,145)(102,116)(104,110)
        (105,149)(109,119)(112,118)(113,153)(114,137)(117,141)(120,126)(121,143)(122,150)(124,130)(125,155)(129,134)
        (132,138)(133,156)(136,139)(142,148)(144,154)(146,152)(147,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 61)( 38, 60)( 40, 46)( 41, 57)( 44, 50)( 45, 80)( 48, 54)( 49, 83)( 52, 63)( 53, 87)( 56, 62)( 58, 79)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 90)( 85,112)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,131)( 98,123)(100,106)(101,132)(104,110)(105,135)(108,114)
        (109,139)(113,118)(116,122)(117,140)(120,126)(121,143)(124,127)(125,147)(128,134)(129,153)(130,148)(133,138)
        (136,142)(137,154)(141,146)(144,150)(145,155)(149,151)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 17)( 10, 23)( 11, 47)( 12, 21)( 14, 19)
        ( 15, 59)( 16, 31)( 18, 35)( 22, 43)( 24, 30)( 25, 67)( 26, 51)( 28, 34)( 29, 71)( 32, 55)( 33, 75)( 36, 42)
        ( 37, 41)( 38, 60)( 40, 46)( 44, 50)( 45, 61)( 48, 54)( 49, 57)( 52, 63)( 53, 80)( 56, 62)( 58, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 81, 86)( 84, 87)( 85,104)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(100,106)(101,127)(105,110)(108,111)(109,128)(112,118)
        (113,136)(114,131)(116,122)(117,139)(120,126)(121,143)(124,130)(125,147)(129,134)(132,135)(133,148)(137,142)
        (138,151)(140,146)(141,156)(144,150)(145,153)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 24)( 11, 43)( 12, 22)( 14, 20)
        ( 15, 55)( 16, 32)( 18, 36)( 19, 56)( 23, 39)( 25, 31)( 26, 63)( 27, 47)( 29, 35)( 30, 67)( 33, 51)( 34, 71)
        ( 38, 42)( 40, 46)( 41, 57)( 44, 50)( 45, 53)( 48, 59)( 49, 76)( 52, 58)( 54, 75)( 60, 66)( 61, 87)( 62, 79)
        ( 64, 70)( 65, 91)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 77, 82)( 80, 83)( 81,100)( 84, 90)( 85,111)( 86,103)
        ( 88, 94)( 89,115)( 92, 98)( 93,119)( 96,102)( 97,123)(101,106)(104,107)(105,124)(108,114)(109,135)(110,127)
        (112,118)(113,139)(116,122)(117,143)(120,126)(121,147)(125,130)(128,131)(129,148)(132,138)(133,137)(134,151)
        (136,142)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 76)( 33, 52)( 34, 80)
        ( 38, 43)( 39, 64)( 41, 47)( 42, 89)( 45, 51)( 46, 92)( 49, 68)( 50, 96)( 53, 59)( 54, 94)( 55, 84)( 57, 63)
        ( 58, 91)( 61, 67)( 62, 66)( 65, 88)( 69, 75)( 70,108)( 71,100)( 73, 79)( 74,112)( 77, 83)( 78,116)( 81, 87)
        ( 82,120)( 85, 98)( 86,124)( 90, 95)( 93, 99)( 97,103)(101,104)(102,125)(105,111)(106,135)(107,128)(109,115)
        (110,136)(113,119)(114,139)(117,123)(118,143)(121,127)(122,147)(126,131)(129,132)(130,148)(133,138)(134,151)
        (137,142)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 25, 31)( 26, 72)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 68)( 54,107)( 57, 63)
        ( 58,119)( 59, 83)( 62, 67)( 65, 87)( 66,120)( 69, 74)( 70,131)( 71,111)( 73, 78)( 76, 82)( 77,132)( 80, 86)
        ( 81,135)( 84,115)( 85,136)( 88, 94)( 89, 93)( 90,123)( 92, 98)( 96,102)( 97,124)(100,106)(101,143)(104,110)
        (105,147)(108,114)(109,151)(112,127)(113,156)(116,122)(117,145)(118,139)(121,126)(125,146)(128,134)(129,141)
        (130,153)(133,138)(137,142)(140,149)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 61)( 23, 44)( 25, 31)( 26, 71)( 27, 52)( 29, 35)( 30, 75)( 33, 56)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 67)( 54,108)( 57, 63)
        ( 58, 90)( 59, 83)( 62, 66)( 65, 87)( 68, 74)( 69,113)( 70,105)( 72, 78)( 73,117)( 76, 82)( 77,121)( 80, 86)
        ( 81,125)( 84,109)( 85,129)( 88, 94)( 89,110)( 92, 98)( 93,133)( 96,102)( 97,137)(100,106)(101,116)(104,107)
        (111,136)(112,130)(114,120)(115,138)(118,124)(119,145)(122,128)(123,149)(126,132)(127,153)(131,141)(134,140)
        (135,142)(139,148)(143,147)(144,154)(146,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 86,138)( 89, 95)( 90,112)( 91,119)( 93, 99)( 94,143)( 97,103)( 98,146)(101,107)
        (102,125)(105,108)(111,117)(113,142)(115,121)(116,120)(123,129)(124,147)(127,133)(128,150)(131,137)(132,154)
        (135,141)(136,155)(139,145)(140,152)(144,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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)( 61,119)( 64, 70)( 65,123)( 68, 91)( 69,127)( 72, 78)( 73,114)( 74,107)( 76, 82)( 77, 89)
        ( 80, 86)( 81, 85)( 84, 90)( 88,111)( 93, 98)( 94,128)( 96,102)( 97,136)(100,106)(101,139)(104,110)(105,143)
        (108,131)(109,148)(112,118)(113,132)(116,122)(117,149)(120,126)(121,153)(124,130)(125,154)(129,135)(133,152)
        (134,145)(137,142)(138,155)(140,146)(141,151)(144,147)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 67)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 71)( 54,111)( 57, 63)
        ( 58,123)( 59, 87)( 61, 66)( 62,127)( 65, 70)( 68, 91)( 69,128)( 72, 78)( 73,137)( 74,115)( 76, 82)( 77,138)
        ( 80, 86)( 81,141)( 84, 90)( 85,145)( 88,119)( 89,146)( 92, 98)( 93,125)( 94,132)( 96,102)( 97,121)(100,106)
        (101,150)(104,110)(105,153)(108,114)(109,136)(112,118)(113,117)(116,133)(120,126)(122,149)(124,130)(129,131)
        (134,140)(135,154)(139,144)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42,100)( 45, 51)( 46,104)( 49, 55)( 50,108)( 53, 72)( 54,112)( 57, 63)
        ( 58, 94)( 59, 88)( 61, 67)( 62,119)( 65, 71)( 66,120)( 69, 92)( 70,124)( 73, 79)( 74,129)( 75,116)( 77, 83)
        ( 78,133)( 81, 87)( 82,137)( 85, 91)( 86,138)( 89, 98)( 90,141)( 93, 99)( 95,122)( 97,103)(101,107)(102,142)
        (105,111)(106,145)(109,115)(110,149)(113,118)(114,153)(117,125)(121,123)(126,132)(127,155)(128,154)(130,136)
        (131,151)(134,140)(135,147)(139,144)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42,100)( 45, 51)( 46,104)( 49, 55)( 50,108)( 53, 72)( 54,112)( 57, 63)
        ( 58, 94)( 59, 88)( 61, 67)( 62,120)( 65, 71)( 66,125)( 69, 92)( 70,122)( 73, 79)( 74,130)( 75,116)( 77, 83)
        ( 78,134)( 81, 87)( 82,138)( 85, 91)( 86,139)( 89, 98)( 90,142)( 93, 99)( 95,123)( 97,103)(101,107)(102,143)
        (105,111)(106,146)(109,115)(110,150)(113,119)(114,154)(117,127)(118,126)(121,124)(128,133)(129,155)(131,137)
        (132,152)(135,141)(136,148)(140,145)(144,149)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42, 97)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,120)( 59, 88)( 61, 67)( 62,125)( 65, 71)( 66,122)( 69, 92)( 70,118)( 73, 79)( 74,134)( 75,112)( 77, 83)
        ( 78,138)( 81, 87)( 82,139)( 85, 91)( 86,142)( 89,116)( 90,146)( 93, 99)( 94,153)( 95,126)( 98,103)(101,107)
        (102,154)(105,111)(106,133)(109,115)(110,114)(113,130)(117,123)(119,129)(121,124)(127,149)(128,147)(131,137)
        (132,155)(135,141)(136,151)(140,145)(143,148)(144,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42, 97)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58,120)( 59, 88)( 61, 67)( 62,125)( 65, 71)( 66,122)( 69, 92)( 70,118)( 73, 79)( 74,134)( 75,112)( 77, 83)
        ( 78,138)( 81, 87)( 82,141)( 85, 91)( 86,145)( 89,116)( 90,146)( 93, 99)( 94,153)( 95,126)( 98,103)(101,107)
        (102,154)(105,111)(106,133)(109,115)(110,114)(113,130)(117,123)(119,129)(121,124)(127,149)(128,147)(131,137)
        (132,155)(135,140)(136,151)(139,144)(142,148)(143,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 75)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46, 99)( 49, 55)( 50,103)( 53, 71)( 54,107)( 57, 63)
        ( 58,119)( 59, 87)( 61, 67)( 62,123)( 65, 70)( 66,127)( 69, 91)( 72, 78)( 73,118)( 74,111)( 76, 82)( 77, 89)
        ( 80, 86)( 81, 85)( 84, 90)( 88,115)( 92, 98)( 93,139)( 94,128)( 97,102)(100,106)(101,140)(104,110)(105,143)
        (108,114)(109,147)(112,131)(113,152)(116,122)(117,132)(120,126)(121,153)(124,130)(125,138)(129,135)(133,156)
        (134,149)(136,142)(137,154)(141,146)(144,150)(145,155)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 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, 91)( 65, 71)( 66, 70)( 69, 88)( 73, 79)( 74,127)( 75,112)( 78, 83)( 81, 87)
        ( 82,128)( 85,116)( 86,131)( 89, 95)( 90,121)( 93, 99)( 94,118)( 97,103)( 98,136)(101,107)(102,139)(105,111)
        (106,143)(109,115)(110,147)(113,123)(114,152)(117,122)(119,135)(124,130)(125,153)(126,149)(129,134)(132,138)
        (133,154)(137,142)(140,146)(141,155)(144,150)(145,156)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 93)( 39, 68)( 41, 47)( 42, 96)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58, 70)( 59, 88)( 61, 67)( 62, 66)( 65, 71)( 69, 92)( 73, 79)( 74,120)( 75,112)( 77, 83)( 78,124)( 81, 87)
        ( 82,125)( 85, 91)( 86,128)( 89, 95)( 90,132)( 94, 99)( 97,103)( 98,133)(101,107)(102,136)(105,111)(106,140)
        (109,115)(110,144)(113,116)(114,149)(117,123)(118,150)(119,146)(121,127)(122,153)(126,131)(129,135)(130,154)
        (134,139)(137,143)(138,155)(141,147)(142,152)(145,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 80)( 33, 56)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 68)( 41, 47)( 42, 97)( 45, 51)( 46,100)( 49, 55)( 50,104)( 53, 72)( 54,108)( 57, 63)
        ( 58, 70)( 59, 88)( 61, 67)( 62, 66)( 65, 71)( 69, 92)( 73, 79)( 74,120)( 75,112)( 77, 83)( 78,124)( 81, 87)
        ( 82,125)( 85, 91)( 86,128)( 89, 95)( 90,132)( 93, 99)( 94,136)( 98,103)(101,107)(102,137)(105,111)(106,140)
        (109,115)(110,144)(113,116)(114,149)(117,123)(118,150)(119,146)(121,127)(122,154)(126,131)(129,135)(130,155)
        (133,139)(134,152)(138,143)(141,147)(142,153)(145,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 44)( 25, 31)( 26, 76)( 27, 52)( 29, 35)( 30, 79)( 33, 56)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 68)( 41, 47)( 42, 99)( 45, 51)( 46,103)( 49, 55)( 50,107)( 53, 72)( 54,111)( 57, 63)
        ( 58, 70)( 59, 87)( 61, 67)( 62, 66)( 65, 71)( 69, 91)( 73, 78)( 74,123)( 75,115)( 77, 82)( 80, 86)( 81,124)
        ( 84, 90)( 85,127)( 88, 94)( 89,131)( 92, 98)( 93,132)( 96,102)( 97,135)(100,106)(101,139)(104,110)(105,140)
        (108,114)(109,143)(112,118)(113,147)(116,119)(117,152)(120,126)(121,153)(122,149)(125,130)(128,134)(129,154)
        (133,138)(136,142)(137,155)(141,146)(144,150)(145,156)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 63)( 23, 44)( 25, 31)( 26, 73)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 81)
        ( 37, 43)( 38, 90)( 39, 68)( 41, 47)( 42, 93)( 45, 51)( 46, 97)( 49, 55)( 50,101)( 53, 69)( 54,105)( 57, 62)
        ( 58, 92)( 59, 85)( 61, 66)( 64, 67)( 65, 89)( 70, 76)( 71,114)( 72,109)( 74, 80)( 75,117)( 78, 84)( 79,121)
        ( 82, 88)( 83,125)( 86, 95)( 87,129)( 91, 96)( 94,100)( 98,104)( 99,130)(102,108)(103,133)(106,112)(107,137)
        (110,113)(111,141)(115,120)(116,145)(118,124)(119,150)(122,128)(123,153)(126,132)(127,154)(131,136)(134,140)
        (135,155)(138,144)(139,152)(142,148)(143,147)(146,149)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 65)( 23, 44)( 25, 31)( 26, 70)( 27, 52)( 29, 35)( 30, 74)( 33, 56)( 34, 78)
        ( 37, 43)( 38, 86)( 39, 62)( 41, 47)( 42, 87)( 45, 51)( 46, 90)( 49, 55)( 50, 94)( 53, 66)( 54, 98)( 57, 63)
        ( 58, 89)( 59, 82)( 61, 64)( 67, 73)( 68,110)( 69,102)( 71, 77)( 72,114)( 75, 81)( 76,118)( 79, 85)( 80,122)
        ( 83, 92)( 84,126)( 88, 93)( 91, 97)( 95,101)( 96,127)( 99,105)(100,130)(103,106)(104,134)(107,113)(108,139)
        (109,138)(111,117)(112,143)(115,121)(116,146)(119,125)(120,147)(123,129)(124,150)(128,133)(131,137)(132,151)
        (135,141)(136,154)(140,142)(144,149)(145,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 65)( 23, 44)( 25, 31)( 26, 70)( 27, 52)( 29, 35)( 30, 74)( 33, 56)( 34, 78)
        ( 37, 43)( 38, 86)( 39, 62)( 41, 47)( 42, 89)( 45, 51)( 46, 93)( 49, 55)( 50, 97)( 53, 66)( 54,101)( 57, 63)
        ( 58, 88)( 59, 82)( 61, 64)( 67, 73)( 68,113)( 69,105)( 71, 77)( 72,114)( 75, 81)( 76,117)( 79, 85)( 80,121)
        ( 83, 91)( 84,125)( 87, 92)( 90, 96)( 94,100)( 95,126)( 98,104)( 99,129)(102,108)(103,133)(106,109)(107,137)
        (110,116)(111,149)(112,141)(115,120)(118,124)(119,150)(122,128)(123,153)(127,132)(130,136)(131,154)(134,140)
        (135,148)(138,144)(139,143)(142,145)(146,152)(147,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 24)( 11, 46)( 12, 22)( 14, 20)
        ( 15, 54)( 16, 30)( 18, 34)( 19, 58)( 23, 42)( 25, 29)( 27, 33)( 28, 47)( 31, 50)( 32, 67)( 35, 41)( 36, 78)
        ( 37, 62)( 39, 45)( 40, 72)( 43, 49)( 44, 69)( 48, 66)( 51, 57)( 52, 82)( 53, 70)( 55, 61)( 56, 86)( 59, 65)
        ( 60, 90)( 63, 74)( 64, 94)( 68, 73)( 71, 79)( 75, 81)( 76,106)( 77, 98)( 80, 85)( 83, 89)( 84,107)( 87, 93)
        ( 88,110)( 91, 97)( 92,114)( 95,101)( 96,118)( 99,102)(100,122)(103,109)(104,133)(105,126)(108,113)(111,117)
        (112,134)(115,121)(116,137)(119,125)(120,141)(123,129)(124,145)(127,130)(128,149)(131,136)(132,153)(135,140)
        (138,144)(139,154)(142,148)(143,155)(146,152)(147,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 23)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 31)( 17, 35)( 18, 50)( 22, 43)( 24, 30)( 25, 57)( 26, 45)( 28, 34)( 29, 61)( 32, 49)( 33, 65)( 36, 42)
        ( 37, 77)( 38, 53)( 40, 46)( 41, 60)( 44, 47)( 51, 56)( 52, 69)( 54, 73)( 55, 82)( 58, 64)( 59, 78)( 62, 68)
        ( 63, 89)( 66, 72)( 67, 93)( 70, 81)( 71, 97)( 74, 80)( 75,109)( 76, 85)( 79, 92)( 83, 88)( 84,101)( 86,105)
        ( 87,114)( 90, 96)( 91,110)( 94,100)( 95,121)( 98,104)( 99,125)(102,113)(103,129)(106,112)(107,138)(108,117)
        (111,124)(115,120)(116,133)(118,137)(119,142)(122,128)(123,139)(126,132)(127,146)(130,136)(131,149)(134,141)
        (135,153)(140,145)(143,148)(144,154)(147,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48)( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 52)( 21, 47)( 22, 43)( 24, 30)( 25, 65)( 26, 48)( 28, 34)( 29, 69)( 32, 51)( 33, 73)( 36, 42)
        ( 37, 85)( 38, 55)( 40, 46)( 41, 89)( 44, 59)( 45, 64)( 49, 61)( 50, 60)( 53, 58)( 54, 77)( 56, 81)( 57, 94)
        ( 62, 68)( 63, 90)( 66, 72)( 67,101)( 70, 76)( 71,105)( 74, 80)( 75,109)( 78, 93)( 79,113)( 82, 88)( 83,122)
        ( 84, 97)( 86, 92)( 87,125)( 91,104)( 95,100)( 96,117)( 98,121)( 99,130)(102,108)(103,126)(106,112)(107,137)
        (110,116)(111,141)(114,120)(115,145)(118,129)(119,149)(123,128)(124,133)(127,140)(131,136)(132,153)(134,139)
        (135,154)(138,144)(142,148)(143,155)(146,152)(147,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 27)(  4,  9)(  6, 19)(  7, 39)(  8, 16)( 10, 23)( 11, 20)( 13, 18)( 14, 55)
        ( 15, 31)( 17, 35)( 21, 47)( 22, 43)( 24, 30)( 25, 67)( 26, 48)( 28, 34)( 29, 71)( 32, 51)( 33, 75)( 36, 42)
        ( 37, 57)( 38, 56)( 40, 46)( 41, 53)( 44, 59)( 45, 80)( 49, 63)( 50, 60)( 52, 58)( 54, 79)( 61, 87)( 62, 83)
        ( 64, 70)( 65, 99)( 66, 88)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 91)( 85,112)
        ( 89, 95)( 90, 92)( 93,119)( 94,115)( 96,102)( 97,131)( 98,120)(100,106)(101,132)(104,110)(105,135)(108,114)
        (109,139)(113,118)(116,123)(117,140)(121,127)(122,124)(125,147)(126,143)(128,134)(129,154)(130,148)(133,138)
        (136,142)(137,155)(141,146)(144,151)(145,156)(149,153)(150,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 45)( 29, 35)( 30, 76)( 33, 48)( 34, 77)
        ( 38, 43)( 39, 60)( 41, 64)( 42, 85)( 46, 68)( 47, 65)( 49, 55)( 50,100)( 51, 80)( 53, 59)( 54,104)( 57, 63)
        ( 58,108)( 61, 84)( 62,112)( 66, 92)( 67, 88)( 69, 75)( 70,128)( 71, 93)( 73, 79)( 74,132)( 78, 83)( 81, 96)
        ( 82,133)( 86, 91)( 87,116)( 89,120)( 90,136)( 94,124)( 95,121)( 97,103)( 98,143)( 99,130)(101,107)(102,147)
        (105,111)(106,151)(109,115)(110,156)(113,119)(114,153)(117,135)(118,149)(122,140)(123,139)(125,131)(126,146)
        (127,141)(129,134)(137,142)(138,145)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 37)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 52)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 45)( 29, 35)( 30, 76)( 33, 48)( 34, 80)
        ( 38, 43)( 39, 60)( 41, 64)( 42, 89)( 46, 68)( 47, 65)( 49, 55)( 50,104)( 51, 84)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 88)( 62,116)( 66, 96)( 67, 92)( 69, 75)( 70,130)( 71, 97)( 73, 79)( 74,134)( 77, 83)( 78,138)
        ( 81, 87)( 82,139)( 85,100)( 86,142)( 90, 95)( 91,120)( 93,124)( 94,129)( 98,126)( 99,125)(101,107)(102,114)
        (103,146)(105,111)(106,110)(109,115)(113,119)(117,123)(118,147)(121,128)(122,150)(127,133)(131,137)(132,151)
        (135,141)(136,154)(140,145)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 39)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 31)( 17, 35)( 18, 59)( 22, 47)( 23, 43)( 25, 30)( 26, 75)( 27, 48)( 29, 34)( 32, 51)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 63)( 40, 46)( 41, 91)( 44, 67)( 45, 95)( 49, 71)( 50, 68)( 52, 58)( 53,111)( 54, 79)( 56, 62)
        ( 57,116)( 60, 66)( 61,113)( 64, 83)( 65,109)( 69,103)( 70, 99)( 72, 78)( 73,129)( 74,104)( 77, 82)( 80,107)
        ( 81,130)( 84, 90)( 85,137)( 86,117)( 88, 94)( 89,141)( 92, 98)( 93,142)( 96,102)( 97,145)(100,121)(101,149)
        (105,125)(106,122)(108,114)(110,120)(112,115)(118,133)(119,131)(123,154)(124,153)(126,132)(127,136)(128,155)
        (134,140)(135,151)(138,144)(139,147)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 53)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 60)( 41, 47)( 42, 96)( 45, 64)( 46,100)( 50, 68)( 51, 65)( 54, 59)( 55, 84)( 57, 63)
        ( 58,112)( 61, 88)( 62,115)( 66,108)( 67,104)( 69, 75)( 70,127)( 71,109)( 73, 79)( 74,131)( 77, 83)( 78,135)
        ( 81, 87)( 82,139)( 85,111)( 86,143)( 89, 95)( 90,133)( 91,119)( 93, 99)( 94,129)( 97,103)( 98,126)(101,107)
        (102,106)(105,123)(110,124)(113,118)(114,147)(116,122)(117,148)(120,137)(121,151)(125,130)(128,134)(132,138)
        (136,142)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 55)
        ( 15, 32)( 17, 36)( 18, 56)( 22, 47)( 23, 43)( 25, 31)( 26, 71)( 27, 48)( 29, 35)( 30, 75)( 33, 51)( 34, 79)
        ( 37, 42)( 38, 91)( 39, 59)( 41, 46)( 44, 63)( 45, 92)( 49, 67)( 50, 64)( 52, 58)( 53,107)( 54, 83)( 57, 62)
        ( 60, 87)( 61,108)( 65, 99)( 66, 95)( 68, 74)( 69,119)( 70,100)( 72, 78)( 73,123)( 76, 82)( 77,127)( 80, 86)
        ( 81,131)( 84,103)( 85,135)( 88, 94)( 89,143)( 90,109)( 93, 98)( 96,111)( 97,144)(101,115)(102,112)(104,110)
        (105,146)(106,139)(113,151)(114,147)(116,122)(117,137)(118,152)(120,126)(121,133)(124,130)(125,129)(128,134)
        (132,138)(136,142)(140,149)(141,153)(145,150)(148,155)(154,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 73)( 27, 49)( 29, 35)( 30, 76)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,116)( 55, 84)
        ( 57, 63)( 58,120)( 61, 67)( 62,121)( 65, 88)( 66,124)( 70,108)( 71,104)( 74, 79)( 75,109)( 77, 83)( 78,134)
        ( 81, 87)( 82,137)( 85,112)( 86,141)( 89, 95)( 90,153)( 91,127)( 93, 99)( 94,147)( 97,103)( 98,143)(101,107)
        (102,139)(105,131)(106,136)(110,133)(111,132)(113,119)(114,152)(115,145)(117,123)(118,129)(122,126)(125,130)
        (128,149)(135,140)(138,144)(142,148)(146,154)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 21)( 13, 19)( 14, 56)
        ( 15, 32)( 17, 36)( 18, 60)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 49)( 29, 35)( 30, 77)( 33, 52)( 34, 80)
        ( 37, 43)( 38, 89)( 39, 64)( 41, 47)( 42, 92)( 45, 68)( 46, 96)( 50, 72)( 51, 69)( 53, 59)( 54,112)( 55, 84)
        ( 57, 63)( 58,116)( 61, 67)( 62,120)( 65, 88)( 66,124)( 70,104)( 71,100)( 73, 79)( 74,137)( 75,105)( 78, 83)
        ( 81, 87)( 82,138)( 85,108)( 86,141)( 90, 95)( 91,128)( 93, 99)( 94,150)( 97,103)( 98,153)(101,131)(102,136)
        (106,133)(107,132)(109,115)(110,122)(111,145)(113,119)(114,118)(117,123)(121,127)(125,130)(126,146)(129,149)
        (134,140)(135,154)(139,144)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 81)
        ( 37, 43)( 38, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,116)( 55, 84)
        ( 57, 63)( 58,120)( 61, 67)( 62,124)( 65, 88)( 66,128)( 70,108)( 71,104)( 73, 79)( 74,138)( 75,109)( 77, 83)
        ( 78,142)( 82, 87)( 85,112)( 86,143)( 89, 95)( 90,114)( 91,129)( 93, 99)( 94,147)( 97,103)( 98,150)(101,107)
        (102,154)(105,132)(106,137)(110,134)(111,133)(113,119)(115,146)(117,123)(118,130)(121,127)(122,126)(125,131)
        (135,141)(136,155)(139,145)(140,152)(144,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,115)( 55, 85)
        ( 57, 63)( 58,119)( 61, 67)( 62,123)( 65, 88)( 66,127)( 70,107)( 71,104)( 73, 79)( 74,139)( 75,108)( 77, 83)
        ( 78,143)( 81, 87)( 82,147)( 86,111)( 89, 95)( 90,113)( 91,131)( 93, 99)( 94,149)( 97,103)( 98,145)(101,106)
        (102,141)(105,135)(109,137)(110,136)(112,118)(114,148)(116,122)(117,132)(120,126)(121,151)(124,130)(125,156)
        (128,134)(129,153)(133,154)(138,142)(140,146)(144,150)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 92)( 39, 64)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 50, 72)( 51, 69)( 53, 59)( 54,115)( 55, 85)
        ( 57, 63)( 58,119)( 61, 67)( 62,123)( 65, 88)( 66,127)( 70,108)( 71,104)( 73, 79)( 74,139)( 75,109)( 77, 83)
        ( 78,143)( 81, 87)( 82,147)( 86,111)( 89, 95)( 90,113)( 91,131)( 93, 99)( 94,149)( 97,103)( 98,145)(101,107)
        (102,141)(105,136)(106,135)(110,137)(112,118)(114,148)(116,122)(117,132)(120,126)(121,151)(124,130)(125,152)
        (128,134)(129,156)(133,154)(138,142)(140,146)(144,150)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 75)( 27, 49)( 29, 35)( 30, 79)( 33, 52)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 50, 72)( 51, 69)( 53, 59)( 54,119)( 55, 87)
        ( 57, 63)( 58,123)( 61, 67)( 62,127)( 65, 91)( 66,131)( 70,111)( 71,107)( 73, 78)( 74,112)( 76, 82)( 77,142)
        ( 80, 86)( 81,145)( 84, 90)( 85,149)( 88,115)( 89,153)( 92, 98)( 93,117)( 94,135)( 96,102)( 97,155)(100,106)
        (101,151)(104,110)(105,147)(108,139)(109,144)(113,141)(114,140)(116,122)(118,154)(120,126)(121,136)(124,130)
        (125,137)(128,134)(129,133)(132,138)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 75)( 27, 49)( 29, 35)( 30, 79)( 33, 52)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 63)( 41, 47)( 42, 99)( 45, 67)( 46,103)( 50, 71)( 51, 68)( 53, 59)( 54, 94)( 55, 87)
        ( 57, 62)( 58, 65)( 61, 66)( 64, 91)( 69,108)( 70,107)( 72, 78)( 73,115)( 74,109)( 76, 82)( 77,119)( 80, 86)
        ( 81,123)( 84, 90)( 85,127)( 88,111)( 89,128)( 92, 98)( 93,112)( 96,102)( 97,135)(100,106)(101,139)(104,110)
        (105,118)(113,138)(114,131)(116,122)(117,140)(120,126)(121,147)(124,130)(125,151)(129,134)(132,143)(133,152)
        (136,142)(137,144)(141,150)(145,149)(146,156)(148,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 79)( 33, 52)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 47)( 42, 99)( 45, 68)( 46,103)( 50, 72)( 51, 69)( 53, 59)( 54,119)( 55, 87)
        ( 57, 63)( 58,120)( 61, 67)( 62,123)( 65, 92)( 66, 91)( 70,111)( 71,107)( 73, 78)( 74,133)( 75,112)( 77, 82)
        ( 80, 86)( 81,134)( 84, 90)( 85,137)( 88,115)( 89,141)( 93, 98)( 94,124)( 96,102)( 97,146)(100,106)(101,149)
        (104,110)(105,153)(108,127)(109,132)(113,129)(114,128)(116,122)(117,148)(118,142)(121,126)(125,145)(130,136)
        (131,154)(135,140)(138,144)(139,155)(143,151)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)
        ( 82,130)( 85, 91)( 86,131)( 89, 95)( 90,134)( 93, 99)( 94,138)( 97,103)( 98,142)(101,107)(102,143)(105,111)
        (106,146)(109,116)(110,121)(114,118)(115,117)(119,125)(120,147)(123,129)(124,150)(127,133)(128,154)(132,137)
        (135,141)(136,155)(139,145)(140,152)(144,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 28)( 17, 32)( 18, 57)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 79)( 35, 60)
        ( 37, 43)( 38, 80)( 41, 64)( 42, 83)( 45, 51)( 46, 95)( 47, 65)( 49, 55)( 50, 99)( 53, 68)( 54,103)( 58, 63)
        ( 59, 72)( 61, 76)( 62,112)( 66, 91)( 67, 87)( 70, 75)( 71,107)( 73,111)( 74,124)( 77, 82)( 78,115)( 81, 86)
        ( 84, 90)( 85,116)( 88,119)( 89,131)( 92, 98)( 93,143)( 94,120)( 96,102)( 97,147)(100,106)(101,152)(104,110)
        (105,149)(108,123)(109,145)(113,118)(114,127)(117,134)(121,139)(122,135)(125,130)(126,141)(128,133)(129,156)
        (132,138)(136,154)(137,153)(140,146)(142,155)(144,150)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 16)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 28)( 17, 32)( 18, 57)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 60)
        ( 37, 43)( 38, 81)( 41, 64)( 42, 84)( 45, 51)( 46, 96)( 47, 65)( 49, 55)( 50,100)( 53, 68)( 54,104)( 58, 63)
        ( 59, 72)( 61, 76)( 62,112)( 66, 92)( 67, 88)( 70, 75)( 71,107)( 73,111)( 74,124)( 77, 83)( 78,135)( 79,115)
        ( 82, 87)( 85, 91)( 86,136)( 89,119)( 90,139)( 93, 99)( 94,152)( 95,120)( 97,103)( 98,149)(101,106)(102,153)
        (105,110)(108,123)(109,154)(113,118)(114,127)(116,132)(117,131)(121,147)(122,143)(125,130)(126,145)(128,134)
        (129,141)(133,138)(137,142)(140,146)(144,155)(148,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 25)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 28)( 18, 32)( 22, 44)( 23, 40)( 26, 31)( 27, 52)( 29, 56)( 30, 69)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,120)( 59, 72)( 62, 76)( 66, 96)( 67, 92)( 70, 75)( 71,112)( 73,116)( 74,129)( 77, 83)( 78,141)( 79,121)
        ( 81, 87)( 82,138)( 85, 91)( 86,142)( 89, 95)( 90,146)( 93,124)( 94,150)( 97,103)( 98,110)( 99,125)(101,107)
        (102,106)(105,111)(109,115)(113,128)(114,126)(117,123)(118,144)(119,132)(122,136)(127,154)(130,135)(131,155)
        (133,148)(134,152)(137,140)(139,145)(143,149)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 34)(  8, 17)( 10, 25)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 29)( 18, 33)( 19, 61)( 23, 41)( 24, 37)( 27, 32)( 28, 49)( 30, 53)( 31, 74)( 35, 40)( 36, 65)
        ( 38, 69)( 39, 81)( 42, 48)( 43, 92)( 44, 70)( 46, 52)( 47, 96)( 50, 73)( 51,100)( 54, 60)( 55,112)( 56, 77)
        ( 58, 64)( 59,116)( 62, 68)( 63,120)( 66, 80)( 67,124)( 71, 88)( 72, 84)( 75, 79)( 76,104)( 78,108)( 82, 87)
        ( 83,128)( 85,132)( 86,137)( 89, 95)( 90,148)( 91,133)( 93, 99)( 94,153)( 97,103)( 98,150)(101,107)(102,146)
        (105,111)(106,154)(109,115)(110,142)(113,119)(114,139)(117,123)(118,130)(121,127)(122,126)(125,131)(129,136)
        (134,144)(135,140)(138,143)(141,155)(145,151)(147,156)(149,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153)(154,155,156) ), 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)( 50,104)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 71)( 66,120)( 69, 76)( 70,124)( 74, 96)( 75, 92)( 77, 83)( 78,129)( 79,128)
        ( 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)(106,148)(109,115)(110,139)(113,119)(114,135)(117,123)(121,127)(125,131)(134,136)(137,143)
        (138,149)(141,147)(142,152)(145,151)(146,156)(150,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 29)( 18, 33)( 19, 62)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 74)( 34, 40)( 35, 85)
        ( 36, 65)( 38, 44)( 39, 89)( 42, 69)( 43, 93)( 46, 52)( 47,105)( 48, 70)( 50, 56)( 51,109)( 54, 73)( 55,113)
        ( 58, 64)( 59,125)( 60, 77)( 63, 68)( 66, 81)( 67,126)( 71,101)( 72, 97)( 75, 80)( 76,117)( 78,121)( 79,138)
        ( 82, 88)( 83, 95)( 84,129)( 86, 92)( 87, 91)( 90, 96)( 94,100)( 98,133)( 99,130)(102,108)(103,147)(104,134)
        (106,112)(107,151)(110,116)(111,156)(114,120)(115,153)(118,137)(119,149)(122,128)(123,145)(124,140)(127,132)
        (131,146)(135,141)(136,144)(139,143)(142,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 53)( 30, 57)( 31, 77)( 34, 40)( 35, 86)
        ( 36, 68)( 38, 44)( 39, 90)( 42, 72)( 43, 94)( 46, 52)( 47,106)( 48, 73)( 50, 56)( 51,109)( 54, 76)( 55,113)
        ( 58, 63)( 59, 80)( 61, 67)( 62,122)( 65, 71)( 66,125)( 69, 84)( 70,129)( 74,102)( 75, 98)( 78, 83)( 79,117)
        ( 81,121)( 82,138)( 85, 89)( 87, 93)( 88,130)( 91, 97)( 92,146)( 95,101)( 96,143)( 99,133)(100,140)(103,108)
        (104,153)(105,134)(107,112)(110,116)(111,154)(114,120)(115,152)(118,137)(119,136)(123,128)(124,141)(126,132)
        (127,148)(131,145)(135,149)(139,144)(142,147)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 88)
        ( 36, 68)( 38, 44)( 39, 92)( 42, 72)( 43, 96)( 46, 52)( 47,108)( 48, 73)( 50, 56)( 51,112)( 54, 76)( 55,116)
        ( 58, 63)( 59,128)( 60, 80)( 62, 67)( 65, 71)( 66,129)( 69, 84)( 70,132)( 74,104)( 75,100)( 78, 83)( 79,120)
        ( 81,124)( 82,142)( 85, 91)( 86,150)( 87,137)( 89, 95)( 90,153)( 93, 99)( 94,154)( 97,103)( 98,147)(101,138)
        (102,144)(105,111)(106,118)(107,139)(109,115)(110,114)(113,119)(117,123)(121,141)(122,140)(125,131)(126,152)
        (127,145)(130,135)(133,136)(134,149)(143,148)(146,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 90)( 42, 73)( 43, 94)( 46, 52)( 47,106)( 48, 74)( 50, 56)( 51,110)( 54, 77)( 55,114)
        ( 58, 64)( 59,126)( 60, 81)( 62, 68)( 63,130)( 66, 72)( 67,134)( 70, 84)( 71,135)( 75,102)( 76, 98)( 79, 83)
        ( 80,118)( 82,122)( 85, 89)( 87, 93)( 88,136)( 91, 97)( 92,132)( 95,101)( 96,128)( 99,138)(100,124)(103,109)
        (104,146)(105,139)(107,113)(108,150)(111,117)(112,154)(115,121)(116,145)(119,125)(120,141)(123,129)(127,133)
        (131,137)(140,142)(143,149)(144,155)(147,153)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 85)
        ( 36, 69)( 38, 44)( 39, 88)( 42, 73)( 43, 92)( 46, 52)( 47,104)( 48, 74)( 50, 56)( 51,108)( 54, 77)( 55,112)
        ( 58, 64)( 59,124)( 60, 81)( 62, 68)( 63,128)( 66, 72)( 67,132)( 70, 84)( 71,137)( 75,100)( 76, 96)( 79, 83)
        ( 80,116)( 82,120)( 86, 91)( 87,134)( 89, 95)( 90,130)( 93, 99)( 94,126)( 97,138)( 98,122)(101,107)(102,146)
        (103,139)(105,111)(106,149)(109,115)(110,153)(113,119)(114,145)(117,123)(118,141)(121,127)(125,131)(129,135)
        (133,136)(140,142)(143,148)(144,154)(147,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,112)( 54, 77)( 55,116)
        ( 58, 64)( 59,127)( 60, 81)( 62, 68)( 63,132)( 66, 72)( 67,129)( 70, 85)( 71,125)( 75,104)( 76,100)( 79, 84)
        ( 80,120)( 82,123)( 83,142)( 86, 91)( 87,149)( 88,133)( 90, 95)( 93, 99)( 94,150)( 97,103)( 98,151)(101,137)
        (102,147)(105,111)(106,110)(107,138)(109,115)(113,119)(114,139)(117,122)(118,154)(121,141)(124,130)(126,136)
        (128,131)(134,145)(135,143)(140,153)(144,155)(146,152)(148,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 47,109)( 48, 74)( 50, 56)( 51,106)( 54, 77)( 55,110)
        ( 58, 64)( 59,121)( 60, 81)( 62, 68)( 63,125)( 66, 72)( 67,129)( 70, 85)( 71,133)( 75,104)( 76,100)( 79, 84)
        ( 80,114)( 82,117)( 83,142)( 86, 91)( 87,153)( 88,137)( 90, 95)( 93, 99)( 94,154)( 97,103)( 98,147)(101,112)
        (102,144)(105,108)(107,113)(111,116)(115,141)(118,124)(119,151)(120,145)(122,128)(123,152)(126,132)(127,139)
        (130,136)(131,135)(134,140)(138,149)(143,148)(146,155)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 59,129)( 60, 81)( 62, 68)( 63,133)( 66, 72)( 67,134)( 70, 86)( 71, 85)( 75,105)( 76,101)( 79, 84)
        ( 80,121)( 82,125)( 83,142)( 87, 92)( 88,135)( 90, 96)( 91,131)( 94,100)( 95,127)( 98,104)( 99,146)(102,137)
        (103,144)(106,112)(107,151)(108,138)(110,116)(111,156)(114,120)(115,153)(118,124)(119,150)(122,141)(123,140)
        (126,132)(128,145)(130,136)(139,148)(143,147)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 29)( 18, 33)( 19, 64)( 23, 45)( 24, 41)( 27, 32)( 28, 52)( 30, 56)( 31, 77)( 34, 40)( 35, 69)
        ( 36, 68)( 38, 44)( 39, 85)( 42, 72)( 43, 88)( 46, 51)( 47,100)( 48, 73)( 50, 55)( 53, 76)( 54,101)( 57, 63)
        ( 58,111)( 59, 80)( 61, 67)( 62,115)( 65, 71)( 66,119)( 70, 84)( 74, 96)( 75, 92)( 78, 83)( 79,104)( 81,108)
        ( 82,128)( 86, 91)( 87,120)( 89, 95)( 90,136)( 93,123)( 94,139)( 97,103)( 98,149)( 99,124)(102,107)(105,127)
        (106,150)(109,114)(110,131)(112,118)(113,154)(116,122)(117,155)(121,135)(125,147)(126,143)(129,134)(130,145)
        (132,153)(133,141)(137,142)(138,156)(140,146)(144,151)(148,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 36)(  8, 17)( 10, 24)( 11, 48)( 12, 21)( 14, 19)
        ( 15, 60)( 16, 29)( 18, 32)( 22, 44)( 23, 40)( 25, 31)( 26, 72)( 27, 52)( 30, 56)( 33, 39)( 34, 80)( 35, 61)
        ( 37, 43)( 38, 84)( 41, 64)( 42, 88)( 45, 51)( 46,100)( 47, 65)( 49, 55)( 50,104)( 53, 68)( 54,108)( 57, 63)
        ( 58,119)( 59, 73)( 62, 76)( 66, 96)( 67, 92)( 69, 75)( 70,131)( 71,112)( 74,115)( 77, 83)( 78,140)( 79,120)
        ( 81, 87)( 82,137)( 85, 91)( 86,141)( 89, 95)( 90,145)( 93,123)( 94,149)( 97,103)( 98,102)( 99,124)(101,107)
        (105,111)(106,125)(109,114)(110,154)(113,127)(116,122)(117,143)(118,132)(121,135)(126,153)(128,134)(129,151)
        (130,155)(133,147)(136,139)(138,144)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 56)( 16, 30)( 18, 33)( 19, 60)( 23, 41)( 24, 37)( 26, 32)( 27, 76)( 28, 49)( 31, 52)( 35, 40)( 36, 64)
        ( 38, 68)( 39, 81)( 42, 48)( 43, 92)( 44, 69)( 46, 51)( 47, 96)( 50, 72)( 53, 59)( 54,104)( 55, 77)( 57, 63)
        ( 58,108)( 61, 67)( 62,112)( 65, 80)( 66,116)( 70, 88)( 71, 84)( 73, 79)( 74,132)( 75, 97)( 78,100)( 82, 87)
        ( 83,120)( 85,124)( 86,136)( 89, 95)( 90,126)( 91,125)( 93, 99)( 94,140)( 98,128)(101,107)(102,143)(103,133)
        (105,111)(106,147)(109,115)(110,151)(113,119)(114,156)(117,123)(118,153)(121,135)(122,149)(127,139)(129,134)
        (130,146)(131,141)(137,142)(138,145)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 50,104)( 53, 59)( 54,108)( 57, 63)
        ( 58,112)( 61, 67)( 62,116)( 65, 71)( 66,120)( 69, 76)( 70,124)( 74, 96)( 75, 92)( 77, 83)( 78,129)( 79,128)
        ( 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)(106,148)(109,115)(110,139)(113,119)(114,135)(117,123)(121,127)(125,131)(134,136)(137,143)
        (138,149)(141,147)(142,152)(145,151)(146,156)(150,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 77)( 28, 53)( 31, 57)( 34, 40)( 35, 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)( 59,125)( 60, 78)( 62, 68)( 63,129)( 67, 81)( 71,101)( 72, 97)( 74, 80)( 75,140)( 76,117)( 79,121)
        ( 82, 88)( 83,148)( 84,130)( 86, 92)( 87,145)( 90, 96)( 91,149)( 94,100)( 95,153)( 98,133)( 99,139)(102,108)
        (103,115)(104,134)(106,112)(107,111)(110,116)(114,120)(118,136)(119,135)(122,128)(123,155)(124,141)(126,132)
        (127,151)(131,143)(137,142)(138,154)(144,147)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 31, 56)( 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, 81)( 61, 67)( 62,120)( 65, 71)( 66,124)( 69, 84)( 70,128)( 74,100)( 75, 96)( 77, 83)( 78,144)
        ( 79,108)( 82,112)( 86, 91)( 87,132)( 89, 95)( 90,149)( 93, 99)( 94,152)( 97,136)( 98,143)(102,107)(103,137)
        (105,111)(106,156)(109,140)(110,139)(113,119)(114,134)(115,145)(117,123)(118,130)(121,127)(122,126)(125,131)
        (129,135)(133,148)(138,155)(141,147)(142,153)(146,151)(150,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 30)( 18, 33)( 19, 65)( 23, 45)( 24, 41)( 26, 32)( 27, 81)( 28, 53)( 31, 57)( 34, 40)( 35, 88)
        ( 36, 69)( 38, 44)( 39, 92)( 42, 73)( 43, 96)( 46, 52)( 47,108)( 48, 74)( 50, 56)( 51,112)( 54, 77)( 55,115)
        ( 58, 64)( 59,123)( 60, 82)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 84)( 71,132)( 75,104)( 76,100)( 78, 83)
        ( 79,126)( 80,119)( 85, 91)( 86, 90)( 87,135)( 89, 95)( 93, 99)( 94,136)( 97,103)( 98,147)(101,139)(102,146)
        (105,111)(106,156)(107,140)(109,114)(110,153)(113,118)(116,122)(117,154)(120,143)(121,142)(124,130)(125,144)
        (128,134)(129,149)(133,138)(137,150)(141,151)(145,148)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 51,111)( 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)(106,148)(107,117)(109,114)(112,118)(113,147)(120,126)(122,144)(124,130)(125,140)(128,134)(129,149)
        (132,138)(133,153)(136,142)(137,154)(141,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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)(107,150)(108,119)(110,116)(111,156)(114,120)(115,153)(122,128)(124,146)(126,132)(130,136)
        (134,140)(135,142)(138,144)(139,149)(143,148)(151,155)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149)(150,151,152,153)(154,155,156) ), 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, 87)
        ( 36, 69)( 38, 44)( 39, 91)( 42, 73)( 43, 95)( 46, 52)( 47,106)( 48, 74)( 50, 56)( 51,110)( 54, 77)( 55,114)
        ( 58, 64)( 59,126)( 60, 82)( 62, 68)( 63,130)( 66, 72)( 67,131)( 70, 85)( 71,134)( 75,102)( 76, 99)( 78, 84)
        ( 79,145)( 80,118)( 83,122)( 86, 90)( 88, 94)( 89,135)( 92, 98)( 93,150)( 96,101)( 97,153)(100,138)(103,109)
        (104,144)(105,139)(107,113)(108,120)(111,117)(112,116)(115,121)(119,142)(123,129)(124,155)(125,146)(127,133)
        (128,152)(132,137)(136,149)(140,147)(141,154)(143,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 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)( 59,126)( 60, 82)( 62, 68)( 63,130)( 66, 72)( 67,131)( 70, 85)( 71,134)( 75,103)( 76, 99)( 78, 84)
        ( 79,146)( 80,118)( 83,122)( 86, 90)( 88, 94)( 89,135)( 92, 98)( 93,150)( 96,102)( 97,153)(100,138)(101,145)
        (104,110)(105,109)(106,139)(108,114)(112,117)(113,140)(116,121)(119,142)(120,141)(123,129)(124,155)(125,147)
        (127,133)(128,152)(132,137)(136,149)(143,148)(144,154)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 16)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 32)( 17, 36)( 18, 61)( 22, 48)( 23, 44)( 25, 31)( 26, 76)( 27, 56)( 29, 35)( 30, 80)( 33, 60)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 64)( 41, 47)( 42,100)( 45, 68)( 46,104)( 49, 55)( 50,116)( 51, 69)( 53, 59)( 54,120)
        ( 57, 72)( 58,123)( 62, 67)( 63, 88)( 65, 93)( 66, 92)( 70,112)( 71,108)( 73, 79)( 74,136)( 75,127)( 77, 83)
        ( 78,139)( 81, 87)( 82,143)( 85, 91)( 86,147)( 89, 95)( 90,148)( 94, 99)( 97,103)( 98,149)(101,107)(102,145)
        (105,111)(106,141)(109,131)(110,138)(113,119)(114,156)(115,132)(117,122)(118,153)(121,126)(124,130)(125,154)
        (128,135)(129,134)(133,151)(137,142)(140,146)(144,150)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 39)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 71)( 27, 55)( 29, 35)( 30, 75)( 33, 59)( 34, 79)
        ( 37, 43)( 38, 60)( 41, 46)( 42, 66)( 45, 63)( 48, 54)( 49, 84)( 50, 64)( 52, 58)( 53, 87)( 56, 67)( 57, 91)
        ( 61, 65)( 62, 83)( 68, 74)( 69,103)( 70, 95)( 72, 78)( 73,107)( 76, 82)( 77,111)( 80, 86)( 81,115)( 85, 90)
        ( 88, 94)( 89,116)( 92, 98)( 93,119)( 96, 99)( 97,123)(100,106)(101,135)(102,127)(104,110)(105,139)(108,114)
        (109,143)(112,118)(113,147)(117,122)(120,126)(121,148)(124,130)(125,151)(128,131)(129,156)(132,138)(133,145)
        (134,153)(136,142)(137,141)(140,146)(144,150)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 50,104)( 51, 65)( 53, 59)( 54,108)( 57, 68)
        ( 58,112)( 62, 91)( 63, 84)( 66,100)( 67, 96)( 69, 75)( 70,128)( 71,116)( 73, 79)( 74,132)( 77, 83)( 78,135)
        ( 81, 87)( 82,139)( 85,120)( 86,143)( 89, 95)( 90,121)( 93, 99)( 94, 98)( 97,122)(101,107)(102,144)(103,123)
        (105,111)(106,147)(109,115)(110,151)(113,119)(114,156)(117,124)(118,153)(125,131)(126,141)(127,149)(129,134)
        (130,137)(133,138)(136,142)(140,146)(145,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 50,102)( 51, 65)( 53, 59)( 54,106)( 57, 68)
        ( 58,110)( 62, 91)( 63, 84)( 66, 98)( 67, 97)( 69, 75)( 70,126)( 71,114)( 73, 79)( 74,130)( 77, 83)( 78,134)
        ( 81, 87)( 82,138)( 85,118)( 86,142)( 89, 95)( 90,119)( 93, 96)( 94,101)( 99,105)(100,120)(103,109)(104,147)
        (107,113)(108,150)(111,117)(112,154)(115,122)(116,155)(121,146)(123,129)(124,144)(125,152)(127,133)(128,140)
        (131,137)(132,136)(135,141)(139,145)(143,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 75)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 89)( 39, 65)( 41, 47)( 42, 93)( 45, 51)( 46, 97)( 49, 55)( 50,101)( 53, 59)( 54,105)( 57, 68)
        ( 58,109)( 61, 67)( 62, 91)( 63, 83)( 66, 87)( 69, 74)( 70,121)( 71,113)( 73, 78)( 76, 82)( 77,122)( 80, 86)
        ( 81,125)( 84, 95)( 85,129)( 88, 92)( 90, 96)( 94,100)( 98,104)( 99,130)(102,108)(103,133)(106,112)(107,137)
        (110,116)(111,141)(114,117)(115,142)(118,124)(119,153)(120,145)(123,128)(126,132)(127,154)(131,136)(134,140)
        (135,155)(138,144)(139,152)(143,148)(146,150)(147,149)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 81)
        ( 37, 43)( 38, 89)( 39, 65)( 41, 47)( 42, 93)( 45, 67)( 46, 97)( 49, 55)( 50,109)( 51, 68)( 53, 59)( 54,113)
        ( 57, 71)( 58,117)( 61, 66)( 62, 92)( 63, 85)( 69,105)( 70,101)( 72, 76)( 74, 80)( 75,118)( 78, 84)( 79,130)
        ( 82, 88)( 83,133)( 86,121)( 87,137)( 90, 96)( 91,122)( 94,100)( 95,128)( 98,104)( 99,103)(102,125)(106,112)
        (107,142)(108,126)(110,116)(111,145)(114,120)(115,149)(119,129)(123,127)(124,141)(131,136)(132,150)(134,140)
        (135,154)(138,144)(139,155)(143,148)(146,152)(147,156)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)( 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 64)( 41, 46)( 42, 99)( 45, 67)( 48, 54)( 49,103)( 50, 68)( 52, 58)( 53,107)( 56, 71)
        ( 57,111)( 60, 66)( 61,105)( 62, 87)( 65, 91)( 69, 93)( 70,100)( 72, 78)( 73,120)( 74,115)( 76, 82)( 77,123)
        ( 80, 86)( 81,127)( 84, 90)( 85,131)( 88,109)( 89,135)( 92, 98)( 94,106)( 96,102)( 97,101)(104,110)(108,114)
        (112,118)(113,136)(116,119)(117,139)(121,126)(122,143)(124,130)(125,148)(128,134)(129,149)(132,138)(133,151)
        (137,142)(140,146)(141,152)(144,147)(145,156)(150,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,107)( 51, 69)( 53, 59)( 54,111)
        ( 57, 71)( 58,115)( 61, 67)( 62,127)( 63, 83)( 66, 87)( 70,103)( 72, 78)( 73,135)( 74,119)( 77, 82)( 80, 86)
        ( 81,136)( 84,123)( 85,139)( 88, 94)( 89,148)( 90,128)( 92, 98)( 93,145)( 96,102)( 97,149)(100,106)(101,153)
        (104,110)(105,134)(108,114)(109,121)(112,118)(113,117)(116,122)(120,131)(124,130)(125,151)(126,140)(129,143)
        (132,138)(133,154)(137,142)(141,155)(144,147)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 91)( 39, 64)( 41, 47)( 42, 95)( 45, 67)( 46, 99)( 49, 54)( 50,111)( 51, 68)( 53, 58)( 56, 71)
        ( 57,112)( 60, 66)( 61,123)( 62, 84)( 65, 87)( 69,107)( 70,103)( 72, 78)( 73,135)( 74,115)( 76, 82)( 77,136)
        ( 80, 86)( 81,139)( 85,119)( 88, 94)( 89,148)( 90,124)( 92, 98)( 93,145)( 96,102)( 97,149)(100,106)(101,153)
        (104,127)(105,134)(108,114)(109,129)(110,128)(113,118)(116,131)(117,130)(120,126)(121,151)(122,140)(125,143)
        (132,138)(133,154)(137,142)(141,155)(144,147)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 73)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,131)( 63, 84)( 66, 88)( 70,108)( 71,104)( 74, 79)( 75,123)( 77, 83)( 78,140)
        ( 81, 87)( 82,143)( 85,127)( 86,147)( 89, 95)( 90,133)( 91,132)( 93, 99)( 94,129)( 97,103)( 98,149)(101,107)
        (102,145)(105,135)(106,142)(109,114)(110,136)(112,118)(113,152)(116,122)(117,156)(120,126)(121,154)(124,139)
        (125,138)(128,134)(130,148)(137,151)(141,146)(144,150)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,131)( 63, 85)( 66, 88)( 70,108)( 71,104)( 73, 79)( 74,140)( 75,123)( 77, 83)
        ( 78,143)( 81, 87)( 82,147)( 86,127)( 89, 95)( 90,133)( 91,132)( 93, 99)( 94,129)( 97,103)( 98,149)(101,107)
        (102,145)(105,135)(106,142)(109,114)(110,136)(112,118)(113,152)(116,122)(117,156)(120,126)(121,154)(124,139)
        (125,138)(128,134)(130,148)(137,151)(141,146)(144,150)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 92)( 39, 65)( 41, 47)( 42, 96)( 45, 68)( 46,100)( 49, 55)( 50,112)( 51, 69)( 53, 59)( 54,116)
        ( 57, 72)( 58,119)( 61, 67)( 62,131)( 63, 85)( 66, 88)( 70,108)( 71,104)( 73, 79)( 74,140)( 75,123)( 77, 83)
        ( 78,143)( 81, 87)( 82,147)( 86,127)( 89, 95)( 90,133)( 91,132)( 93, 99)( 94,129)( 97,103)( 98,149)(101,107)
        (102,145)(105,135)(106,142)(109,115)(110,156)(111,136)(113,118)(114,153)(117,122)(120,126)(121,154)(124,139)
        (125,138)(128,134)(130,148)(137,151)(141,146)(144,150)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 92)( 39, 65)( 41, 47)( 42, 95)( 45, 68)( 46, 99)( 49, 55)( 50,111)( 51, 69)( 53, 59)( 54,115)
        ( 57, 72)( 58,119)( 61, 67)( 62,131)( 63, 87)( 66, 91)( 70,107)( 71,103)( 73, 78)( 74,143)( 75,123)( 77, 82)
        ( 80, 86)( 81,144)( 84, 90)( 85,145)( 88,127)( 89,141)( 93, 98)( 94,132)( 96,102)( 97,138)(100,106)(101,105)
        (104,135)(108,114)(109,129)(110,136)(112,118)(113,148)(116,122)(117,151)(120,126)(121,156)(124,139)(125,153)
        (128,134)(130,147)(133,137)(140,146)(142,150)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 51)( 12, 21)( 14, 19)
        ( 15, 63)( 16, 32)( 18, 36)( 22, 47)( 23, 44)( 25, 31)( 26, 75)( 27, 55)( 29, 35)( 30, 79)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 65)( 39, 64)( 41, 46)( 42, 61)( 45, 67)( 48, 54)( 49, 87)( 50, 68)( 52, 58)( 53, 91)( 56, 71)
        ( 57, 95)( 60, 66)( 62, 70)( 69, 84)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 85, 90)
        ( 88, 94)( 89,116)( 92, 98)( 93,119)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,136)(106,131)(108,114)
        (109,139)(112,118)(113,143)(117,122)(120,126)(121,144)(124,130)(125,147)(128,134)(129,151)(132,135)(133,156)
        (137,142)(138,153)(140,146)(141,149)(145,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 92)( 45, 68)( 46, 96)( 49, 55)( 50,108)( 51, 69)( 53, 59)( 54,112)
        ( 58, 72)( 61, 67)( 62,120)( 63, 80)( 66, 84)( 70,104)( 71,100)( 74, 79)( 75,113)( 77, 83)( 78,129)( 81,116)
        ( 82,132)( 85, 91)( 86,144)( 87,121)( 89, 95)( 90,148)( 93, 99)( 94,149)( 97,103)( 98,146)(101,124)(102,142)
        (105,111)(106,137)(107,125)(109,115)(110,151)(114,128)(117,123)(118,126)(119,136)(122,140)(127,143)(130,135)
        (131,152)(133,139)(134,156)(138,154)(141,147)(145,150)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 75)( 27, 56)( 29, 35)( 30, 79)( 33, 60)( 34, 83)
        ( 37, 43)( 38, 70)( 39, 65)( 41, 47)( 42, 46)( 45, 67)( 49, 55)( 50, 88)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 62, 69)( 63, 87)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 89, 94)( 92, 98)( 93,120)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,139)(106,131)(108,114)
        (109,140)(112,118)(113,143)(116,122)(117,147)(121,126)(124,130)(125,148)(128,134)(129,151)(132,135)(133,156)
        (136,142)(137,145)(138,153)(141,146)(144,150)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 52)( 12, 21)( 14, 19)
        ( 15, 64)( 16, 32)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 72)( 27, 56)( 29, 35)( 30, 76)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 42)( 39, 65)( 41, 47)( 45, 62)( 46, 66)( 49, 55)( 50, 81)( 51, 63)( 53, 59)( 54, 84)( 57, 68)
        ( 58, 88)( 61, 67)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 82, 87)( 85, 91)( 86,109)
        ( 89, 95)( 90,112)( 93, 96)( 94,116)( 97,103)( 98,128)( 99,120)(101,107)(102,132)(105,111)(106,136)(110,115)
        (113,119)(114,137)(117,123)(118,140)(121,124)(122,144)(125,131)(126,153)(127,145)(129,135)(130,150)(133,139)
        (134,154)(138,143)(141,147)(142,155)(146,148)(149,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 72)( 28, 52)( 30, 36)( 31, 76)( 34, 56)
        ( 35, 80)( 39, 43)( 41, 58)( 42, 65)( 45, 51)( 46, 81)( 47, 59)( 49, 55)( 50, 84)( 53, 68)( 54, 88)( 57, 63)
        ( 61, 67)( 62, 66)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 82, 87)( 85, 91)( 86,109)
        ( 89, 95)( 90,112)( 93, 96)( 94,116)( 97,103)( 98,127)( 99,120)(101,107)(102,131)(105,111)(106,135)(110,115)
        (113,119)(114,136)(117,123)(118,139)(121,124)(122,143)(125,130)(126,147)(128,134)(129,148)(132,138)(133,151)
        (137,142)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 84)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46, 96)( 47, 69)( 49, 55)( 50,100)( 53, 72)( 54,104)( 57, 63)
        ( 58, 93)( 59, 88)( 61, 67)( 62,113)( 66, 95)( 70, 89)( 71, 92)( 73, 79)( 74,118)( 75,108)( 77, 83)( 78,122)
        ( 81, 87)( 82,126)( 85, 91)( 86,130)( 90, 99)( 94,112)( 97,103)( 98,131)(101,107)(102,134)(105,111)(106,138)
        (109,114)(110,142)(115,121)(116,120)(117,146)(119,125)(123,129)(124,147)(127,133)(128,150)(132,137)(135,141)
        (136,151)(139,145)(140,154)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 76)( 28, 52)( 30, 36)( 31, 80)( 34, 56)
        ( 35, 83)( 39, 43)( 41, 68)( 42, 65)( 45, 51)( 46, 99)( 47, 69)( 49, 55)( 50,103)( 53, 72)( 54,107)( 57, 63)
        ( 58,119)( 59, 87)( 61, 67)( 62,123)( 66, 94)( 70, 95)( 71, 91)( 73, 79)( 74, 89)( 75,111)( 77, 82)( 78, 85)
        ( 81, 86)( 84, 90)( 88,115)( 92,127)( 93,124)( 96,102)( 97,139)( 98,128)(100,106)(101,144)(104,110)(105,141)
        (108,114)(109,137)(112,118)(113,145)(116,122)(117,149)(120,126)(121,153)(125,134)(129,135)(130,131)(132,147)
        (133,154)(136,142)(138,148)(140,143)(146,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 76)( 28, 53)( 30, 36)( 31, 80)( 34, 57)
        ( 35, 84)( 39, 44)( 40, 69)( 42, 48)( 43, 93)( 46, 52)( 47, 96)( 50, 56)( 51,100)( 54, 73)( 55,104)( 58, 64)
        ( 59, 71)( 60, 88)( 62, 68)( 63, 67)( 66, 72)( 70, 92)( 74, 79)( 75,108)( 77, 83)( 78,113)( 81, 87)( 82,116)
        ( 85, 91)( 86,120)( 89, 95)( 90,124)( 94, 99)( 97,103)( 98,125)(101,107)(102,128)(105,111)(106,132)(109,112)
        (110,136)(114,119)(115,139)(117,123)(118,144)(121,127)(122,147)(126,131)(129,135)(130,148)(133,138)(134,151)
        (137,142)(140,143)(141,152)(145,150)(146,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 37)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 36)( 19, 63)( 23, 43)( 24, 40)( 26, 31)( 27, 79)( 28, 51)( 30, 35)( 33, 55)( 34, 80)
        ( 38, 42)( 39, 67)( 41, 71)( 44, 50)( 45, 91)( 46, 72)( 48, 54)( 49, 95)( 52, 75)( 53, 99)( 56, 62)( 57,111)
        ( 58, 83)( 60, 66)( 61,115)( 64, 70)( 65,119)( 68, 74)( 69,123)( 73, 87)( 76, 82)( 77,131)( 78,103)( 81, 86)
        ( 84,107)( 85,132)( 88, 94)( 89,140)( 90,124)( 92, 98)( 93,143)( 96,102)( 97,130)(100,106)(101,105)(104,127)
        (108,114)(109,151)(110,135)(112,118)(113,156)(116,122)(117,153)(120,126)(121,149)(125,139)(128,134)(129,144)
        (133,138)(136,147)(137,145)(141,146)(142,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 33)( 18, 36)( 19, 64)( 23, 44)( 24, 40)( 26, 32)( 27, 80)( 28, 52)( 30, 35)( 31, 81)( 34, 56)
        ( 38, 43)( 39, 68)( 41, 72)( 42, 85)( 45, 51)( 46, 96)( 47, 73)( 49, 55)( 50,100)( 53, 76)( 54,104)( 57, 63)
        ( 58,111)( 59, 82)( 61, 67)( 62,115)( 65, 71)( 66,119)( 69, 84)( 70,123)( 74, 92)( 75, 88)( 77, 83)( 78,114)
        ( 79,108)( 86, 91)( 87,127)( 89,131)( 90,140)( 93, 99)( 94, 98)( 95,132)( 97,103)(101,107)(102,133)(105,110)
        (106,144)(109,135)(112,118)(113,136)(116,122)(117,147)(120,126)(121,151)(124,130)(125,156)(128,139)(129,153)
        (134,143)(137,150)(138,145)(141,146)(142,149)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 39, 43)( 40, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,106)( 59, 92)( 61, 67)( 62,102)( 65, 71)( 66, 98)( 69, 75)( 70,117)( 74, 96)( 77, 83)( 78,121)( 79,112)
        ( 81, 87)( 82,125)( 85, 91)( 86,129)( 89, 95)( 90,133)( 93,110)( 94,137)( 97,103)( 99,116)(101,107)(105,111)
        (109,115)(113,118)(114,138)(119,124)(120,141)(122,128)(123,146)(126,132)(127,147)(130,136)(131,149)(134,140)
        (135,153)(139,144)(142,145)(143,154)(148,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 39, 43)( 40, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,108)( 57, 63)
        ( 58,120)( 59, 92)( 61, 67)( 62,125)( 65, 71)( 66,122)( 69, 75)( 70,118)( 74, 96)( 77, 83)( 78,130)( 79,112)
        ( 81, 87)( 82,134)( 85, 91)( 86,137)( 89, 95)( 90,141)( 93,116)( 94,145)( 97,103)( 98,146)( 99,119)(101,107)
        (102,149)(105,111)(106,129)(109,115)(110,114)(113,126)(117,123)(121,124)(127,133)(128,150)(131,136)(132,153)
        (135,140)(138,144)(139,154)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 44)( 24, 41)( 26, 32)( 27, 80)( 28, 52)( 30, 36)( 31, 84)( 34, 56)
        ( 35, 88)( 39, 43)( 40, 68)( 42, 72)( 45, 51)( 46,100)( 47, 73)( 49, 55)( 50,104)( 53, 76)( 54,109)( 57, 63)
        ( 58,114)( 59, 92)( 61, 67)( 62,118)( 65, 71)( 66,122)( 69, 75)( 70,126)( 74, 96)( 77, 83)( 78,130)( 79,106)
        ( 81, 87)( 82,134)( 85, 91)( 86,138)( 89, 95)( 90,139)( 93,110)( 94,142)( 97,103)( 98,150)( 99,127)(101,107)
        (102,133)(105,108)(111,117)(112,124)(113,146)(115,121)(116,120)(119,125)(123,129)(128,147)(131,137)(132,151)
        (135,141)(136,154)(140,145)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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)( 86,146)( 89, 95)( 90,149)( 93,120)( 94,153)( 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)(132,154)
        (135,141)(139,145)(140,155)(143,148)(144,151)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 79)( 28, 52)( 30, 36)( 31, 83)( 34, 56)
        ( 35, 87)( 39, 44)( 40, 68)( 42, 71)( 43, 96)( 46, 51)( 47,107)( 48, 72)( 50, 55)( 53, 75)( 54,108)( 57, 63)
        ( 58,119)( 59, 91)( 61, 67)( 62,123)( 65, 70)( 66,127)( 69, 95)( 73,103)( 74, 99)( 76, 82)( 77,118)( 78,111)
        ( 80, 86)( 81, 93)( 84, 90)( 85, 89)( 88, 94)( 92,115)( 97,102)( 98,128)(100,131)(101,140)(104,110)(105,149)
        (106,132)(109,114)(112,135)(113,150)(116,122)(117,136)(120,126)(121,153)(124,130)(125,154)(129,139)(133,147)
        (134,143)(137,156)(138,145)(141,146)(142,155)(144,151)(148,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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)( 47,102)( 48, 74)( 50, 56)( 51,106)( 54, 77)( 55,110)
        ( 58, 64)( 59,108)( 60, 93)( 62, 68)( 63,104)( 66, 72)( 67,101)( 70, 97)( 71, 76)( 75, 99)( 78, 84)( 79,121)
        ( 80,114)( 82, 88)( 83,125)( 86, 92)( 87,129)( 90, 96)( 91,133)( 94,112)( 95,137)(100,105)(103,109)(107,113)
        (111,117)(115,118)(116,138)(119,124)(120,141)(122,128)(123,146)(126,132)(127,149)(130,136)(131,153)(134,140)
        (135,154)(139,144)(142,145)(143,155)(147,152)(148,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98)( 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 47,109)( 48, 74)( 50, 56)( 51,113)( 54, 77)( 55,117)
        ( 58, 64)( 59,103)( 60, 93)( 62, 68)( 63,100)( 66, 72)( 67, 71)( 70, 97)( 75,105)( 76,101)( 78, 84)( 79,127)
        ( 80,121)( 82, 88)( 83,131)( 86, 92)( 87,134)( 90, 96)( 91,138)( 94,107)( 95,142)( 99,104)(102,108)(106,112)
        (110,116)(111,143)(114,120)(115,146)(118,124)(119,149)(122,125)(123,153)(126,130)(128,133)(129,154)(132,137)
        (135,141)(136,155)(139,145)(140,151)(144,148)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 41)( 26, 32)( 27, 72)( 28, 53)( 30, 36)( 31, 76)( 34, 57)
        ( 35, 80)( 39, 44)( 40, 43)( 42, 65)( 46, 52)( 47, 59)( 48, 66)( 50, 56)( 51, 85)( 54, 68)( 55, 88)( 58, 63)
        ( 60, 84)( 62, 67)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 81, 87)( 82,112)( 86, 91)
        ( 89, 95)( 90,113)( 93, 96)( 94,116)( 97,103)( 98,125)( 99,120)(101,107)(102,128)(105,111)(106,132)(109,115)
        (110,136)(114,119)(117,123)(118,137)(121,124)(122,140)(126,131)(127,144)(129,135)(130,149)(133,139)(134,151)
        (138,143)(141,147)(142,152)(145,148)(146,156)(150,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156) ), 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)( 47,105)( 48, 74)( 50, 56)( 51,109)( 54, 77)( 55,113)
        ( 58, 64)( 59,103)( 60, 93)( 62, 68)( 63, 99)( 66, 72)( 67,121)( 70, 97)( 71,125)( 75, 94)( 76,102)( 78, 84)
        ( 79,130)( 80,117)( 82, 88)( 83,134)( 86, 92)( 87,138)( 90, 96)( 91,141)( 95,108)( 98,104)(100,123)(106,112)
        (107,142)(110,116)(111,145)(114,120)(115,149)(118,126)(119,153)(122,124)(127,133)(128,155)(129,154)(131,137)
        (132,151)(135,140)(136,147)(139,144)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 63,125)( 66, 72)( 67,129)( 70, 97)( 71,133)( 75,105)( 76,102)( 78, 84)
        ( 79,140)( 80,121)( 82, 88)( 83,144)( 86, 92)( 87,148)( 90, 96)( 91,152)( 94,103)( 95,108)( 98,104)(100,128)
        (106,112)(107,153)(110,116)(111,150)(114,120)(115,146)(118,124)(119,142)(122,138)(123,137)(126,132)(127,134)
        (130,136)(131,156)(135,155)(139,143)(141,147)(145,151)(149,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), 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)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 96)( 71,135)( 75,104)( 76,101)( 78, 84)
        ( 79,145)( 80,120)( 82, 88)( 83,149)( 86, 91)( 87,153)( 90, 95)( 93,106)( 94,154)( 97,103)( 98,129)( 99,139)
        (102,125)(105,111)(107,126)(109,115)(110,155)(113,119)(114,151)(117,122)(118,147)(121,143)(124,130)(128,134)
        (132,138)(133,140)(136,142)(137,141)(144,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)(143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 99)( 40, 69)( 43, 73)( 46, 52)( 47,107)( 48, 74)( 50, 56)( 51,111)( 54, 77)( 55,115)
        ( 58, 64)( 59,113)( 60, 92)( 62, 68)( 63,109)( 66, 72)( 67,105)( 70, 96)( 71,123)( 75,103)( 76,100)( 78, 83)
        ( 79,119)( 81, 87)( 82,130)( 85, 91)( 86,133)( 89, 95)( 90,137)( 93,117)( 94,141)( 97,102)( 98,128)(101,125)
        (104,110)(106,126)(108,114)(112,118)(116,122)(120,129)(121,142)(124,127)(131,136)(132,145)(134,140)(135,150)
        (138,144)(139,153)(143,148)(146,149)(147,154)(151,156)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 59)( 48, 74)( 50, 56)( 51, 94)( 54, 77)( 55,104)
        ( 58, 64)( 60, 93)( 62, 68)( 63, 75)( 66, 72)( 67,102)( 70, 98)( 71, 97)( 76,101)( 78, 84)( 79,116)( 80,108)
        ( 82, 88)( 83,119)( 86, 92)( 87,123)( 90, 96)( 91,127)( 95,107)( 99,103)(105,111)(106,128)(109,112)(110,131)
        (113,118)(114,143)(115,135)(117,122)(120,126)(121,144)(124,130)(125,147)(129,134)(132,138)(133,148)(136,139)
        (137,151)(140,146)(141,153)(142,156)(145,150)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 94)( 48, 74)( 50, 56)( 51,105)( 54, 77)( 55,109)
        ( 58, 64)( 59, 75)( 60, 93)( 62, 68)( 63,103)( 66, 72)( 67,100)( 70, 98)( 71, 97)( 76,102)( 78, 84)( 79,121)
        ( 80,113)( 82, 88)( 83,125)( 86, 92)( 87,128)( 90, 96)( 91,132)( 95,108)( 99,104)(106,112)(107,133)(110,116)
        (111,136)(114,117)(115,140)(118,124)(119,149)(120,144)(122,127)(123,153)(126,131)(129,135)(130,154)(134,139)
        (137,143)(138,155)(141,146)(142,151)(145,147)(148,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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, 70)( 40, 69)( 43, 73)( 46, 52)( 47, 63)( 48, 74)( 50, 56)( 51, 59)( 54, 77)( 55, 94)
        ( 58, 64)( 60, 93)( 62, 68)( 66, 72)( 67, 75)( 71, 76)( 78, 84)( 79,105)( 80, 97)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 95,100)( 98,101)( 99,118)(102,108)(103,129)(104,121)(106,112)(107,132)(110,116)
        (111,136)(114,120)(115,140)(119,124)(122,125)(123,141)(126,131)(127,150)(128,144)(130,135)(133,139)(134,151)
        (137,143)(138,154)(142,147)(145,148)(146,155)(149,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 45)( 24, 42)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39, 59)( 40, 69)( 43, 73)( 46, 52)( 47, 95)( 48, 74)( 50, 56)( 51, 99)( 54, 77)( 55,103)
        ( 58, 64)( 60, 76)( 62, 68)( 63, 70)( 66, 72)( 67, 94)( 71, 93)( 75, 90)( 78, 84)( 79,115)( 80,107)( 82, 88)
        ( 83,119)( 86, 92)( 87,123)( 91, 98)( 96,102)( 97,124)(100,106)(101,127)(104,110)(105,131)(108,111)(109,135)
        (112,118)(113,146)(114,139)(116,122)(117,150)(120,126)(121,154)(125,130)(128,134)(129,155)(132,138)(133,152)
        (136,142)(137,148)(140,144)(141,143)(145,149)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 99)( 40, 73)( 42, 48)( 43,103)( 46, 52)( 47,107)( 50, 56)( 51,111)( 54, 60)( 55,115)
        ( 58, 77)( 59,118)( 62, 68)( 63,126)( 64, 91)( 66, 72)( 67,130)( 70, 76)( 71,134)( 74, 95)( 75,138)( 78, 82)
        ( 80, 86)( 81,119)( 84, 90)( 85,143)( 88, 94)( 89,146)( 92,122)( 93,150)( 96,102)( 97,124)( 98,139)(100,106)
        (101,155)(104,110)(105,152)(108,114)(109,148)(112,117)(113,145)(116,121)(120,142)(123,129)(125,154)(127,133)
        (128,140)(131,137)(132,136)(135,141)(144,149)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 74)( 40, 73)( 42, 48)( 43, 75)( 46, 52)( 47, 71)( 50, 56)( 51, 67)( 54, 60)( 55, 63)
        ( 58, 77)( 59, 94)( 62, 68)( 64, 93)( 66, 72)( 70, 76)( 78, 84)( 79,105)( 80, 97)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 90, 96)( 91,117)( 95,100)( 98,101)( 99,118)(102,108)(103,129)(104,121)(106,112)(107,133)(110,116)
        (111,136)(114,120)(115,140)(119,124)(122,125)(123,141)(126,132)(127,150)(128,144)(130,135)(131,153)(134,139)
        (137,143)(138,154)(142,147)(145,148)(146,155)(149,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 52)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 50, 55)( 51, 73)( 53, 76)( 54,109)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,127)( 69, 88)( 70,131)( 74,108)( 75,104)( 78, 83)( 79,112)
        ( 81, 87)( 82,140)( 85,115)( 86,143)( 89, 95)( 90,156)( 91,135)( 93, 99)( 94,153)( 97,103)( 98,149)(101,107)
        (102,145)(105,111)(106,142)(110,114)(113,139)(116,122)(117,137)(118,147)(120,126)(121,133)(124,130)(125,129)
        (128,134)(132,138)(136,151)(141,146)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 51, 56)( 52, 74)( 54, 77)( 55,116)
        ( 58, 64)( 59,125)( 60, 93)( 62, 68)( 63,129)( 66, 72)( 67,133)( 70, 96)( 71,137)( 75,115)( 76,112)( 78, 84)
        ( 79,143)( 80,120)( 82, 88)( 83,145)( 86, 92)( 87,149)( 90, 95)( 91,153)( 94,121)( 97,103)( 98,123)( 99,138)
        (101,107)(102,155)(105,111)(106,151)(109,114)(110,147)(113,141)(117,119)(118,142)(122,128)(124,154)(126,132)
        (127,139)(130,136)(131,135)(134,140)(144,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)(119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 53)( 30, 36)( 31, 85)( 34, 57)
        ( 35, 89)( 38, 44)( 39,102)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 51, 56)( 52, 74)( 54, 77)( 55,112)
        ( 58, 64)( 59,123)( 60, 93)( 62, 68)( 63,127)( 66, 72)( 67,130)( 70, 97)( 71,134)( 75,111)( 76,107)( 78, 84)
        ( 79,122)( 80,115)( 82, 88)( 83, 95)( 86, 92)( 87, 91)( 90, 96)( 94,119)( 98,101)(100,106)(104,110)(105,135)
        (108,138)(109,146)(113,118)(114,139)(116,142)(117,140)(120,126)(121,143)(124,129)(125,153)(128,133)(131,137)
        (132,154)(136,149)(141,150)(144,156)(145,151)(147,152)(148,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), 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, 60)( 16, 32)( 18, 36)( 19, 64)( 23, 48)( 24, 44)( 26, 31)( 27, 53)( 29, 35)( 30, 77)( 33, 56)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 68)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 54, 76)( 57, 63)
        ( 58,119)( 59, 84)( 61, 67)( 62,123)( 65, 71)( 66,127)( 69, 88)( 70,131)( 74,108)( 75,104)( 78, 83)( 79,112)
        ( 81, 87)( 82,140)( 85,115)( 86,143)( 89, 95)( 90,156)( 91,135)( 93, 99)( 94,153)( 97,103)( 98,149)(101,107)
        (102,145)(105,110)(106,142)(109,114)(113,139)(116,122)(117,137)(118,147)(120,126)(121,133)(124,130)(125,129)
        (128,134)(132,138)(136,151)(141,146)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 69)( 42, 48)( 43,103)( 46, 73)( 47,107)( 50, 56)( 51,115)( 52, 74)( 55, 76)
        ( 58, 64)( 59,123)( 60, 92)( 62, 68)( 63,127)( 66, 72)( 67,131)( 70, 95)( 71,135)( 75,111)( 77, 83)( 78,141)
        ( 79,116)( 81, 87)( 82,145)( 85, 91)( 86,149)( 89, 94)( 90,153)( 93,119)( 96,102)( 97,121)( 98,136)(100,106)
        (101,155)(104,110)(105,151)(108,114)(109,147)(112,118)(113,143)(117,139)(120,126)(122,154)(124,130)(125,137)
        (128,134)(129,133)(132,138)(140,144)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 54)( 30, 36)( 31, 84)( 34, 57)
        ( 35, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 72)( 47,108)( 50, 56)( 51,120)( 52, 73)( 55, 76)
        ( 58, 64)( 59,127)( 60, 92)( 62, 68)( 63,131)( 66, 71)( 67,135)( 70, 96)( 74,116)( 75,112)( 77, 83)( 78, 90)
        ( 79,121)( 81, 87)( 82, 86)( 85, 91)( 89, 95)( 93,124)( 94,122)( 97,103)( 98,147)( 99,136)(101,107)(102,152)
        (105,111)(106,149)(109,115)(110,145)(113,139)(114,153)(117,123)(118,126)(119,140)(125,130)(128,134)(129,141)
        (132,138)(133,155)(137,143)(142,154)(144,150)(146,156)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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)( 51,113)( 52, 74)( 55, 77)
        ( 58, 64)( 59,121)( 60, 93)( 62, 68)( 63,125)( 66, 72)( 67,128)( 71, 97)( 75,109)( 76,105)( 78, 84)( 79,136)
        ( 80,114)( 82, 88)( 83,140)( 86, 92)( 87,145)( 90, 96)( 91,142)( 94,117)( 95,138)( 99,104)(100,129)(102,108)
        (103,147)(106,112)(107,150)(110,116)(111,154)(115,132)(118,124)(119,152)(120,134)(122,127)(123,149)(126,131)
        (130,146)(133,139)(135,155)(137,143)(141,144)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)(144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156) ), 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)( 75,109)( 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)(102,108)
        (103,150)(106,131)(107,153)(110,115)(111,132)(114,135)(117,123)(118,155)(119,137)(121,126)(122,152)(125,130)
        (129,149)(133,138)(134,154)(136,142)(140,146)(144,147)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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, 76)( 33, 60)( 34, 79)
        ( 37, 43)( 38, 91)( 39, 69)( 41, 47)( 42, 95)( 45, 72)( 46, 99)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 75)( 58,115)( 61, 67)( 62,127)( 63, 83)( 65, 71)( 66,131)( 70, 87)( 74,103)( 77, 82)( 78,119)( 80, 86)
        ( 81,136)( 84,123)( 85,139)( 88, 94)( 89,149)( 90,132)( 92, 98)( 93,153)( 96,102)( 97,145)(100,106)(101,141)
        (104,110)(105,138)(108,114)(109,121)(112,118)(113,117)(116,122)(120,135)(124,130)(125,155)(126,143)(128,134)
        (129,151)(133,147)(137,142)(140,146)(144,154)(148,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 32)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 77)( 33, 60)( 34, 80)
        ( 37, 43)( 38, 92)( 39, 69)( 41, 47)( 42, 96)( 45, 72)( 46,100)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,119)( 61, 67)( 62,131)( 63, 84)( 65, 71)( 66,135)( 70, 88)( 74,108)( 75,104)( 78, 83)( 79,123)
        ( 81, 87)( 82,144)( 85,127)( 86,147)( 89, 95)( 90,137)( 91,136)( 93, 99)( 94,133)( 97,103)( 98,129)(101,107)
        (102,149)(105,139)(106,146)(109,114)(110,140)(112,118)(113,152)(116,122)(117,156)(120,126)(121,154)(124,143)
        (125,142)(128,134)(130,148)(132,138)(141,151)(145,150)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 55)( 29, 35)( 30, 80)( 33, 59)( 34, 83)
        ( 37, 43)( 38, 95)( 39, 71)( 41, 47)( 42, 99)( 45, 75)( 46,103)( 49, 54)( 50,115)( 51, 76)( 53, 58)( 56, 79)
        ( 57,116)( 60, 66)( 61,127)( 62, 87)( 64, 70)( 65,131)( 68, 74)( 69,136)( 72, 91)( 73,133)( 77,111)( 78,107)
        ( 81, 86)( 82,119)( 84, 90)( 85,138)( 88,123)( 89,141)( 92, 98)( 93,149)( 94,129)( 96,102)( 97,153)(100,106)
        (101,147)(104,110)(105,143)(108,114)(109,140)(112,118)(113,121)(117,122)(120,137)(124,130)(125,152)(126,145)
        (128,134)(132,135)(139,144)(142,148)(146,154)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)(114,150)(115,126)(117,123)(118,156)(121,127)(122,153)(130,135)(133,139)
        (137,143)(138,145)(141,147)(142,149)(146,148)(151,155)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), 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)( 54,119)
        ( 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)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89,127)( 90,102)( 93, 99)( 94,129)( 95,147)( 97,103)( 98,130)
        (101,107)(105,111)(109,124)(113,118)(114,125)(116,122)(117,121)(120,126)(128,134)(132,138)(133,148)(136,142)
        (137,151)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 58,123)( 61, 67)( 62,131)( 63, 88)( 65, 71)( 66,135)( 69, 75)( 70,139)( 73, 92)( 74,143)( 78,112)
        ( 79,108)( 82, 87)( 83,110)( 85, 91)( 86,106)( 89,127)( 90,102)( 93, 99)( 94,129)( 95,147)( 97,103)( 98,130)
        (101,107)(105,111)(109,124)(113,119)(114,118)(115,125)(117,122)(121,126)(128,134)(132,138)(133,148)(136,142)
        (137,151)(140,146)(141,156)(144,150)(145,153)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 94)( 39, 72)( 41, 47)( 42, 98)( 45, 76)( 46,102)( 49, 55)( 50,114)( 51, 77)( 53, 59)( 54,118)
        ( 57, 80)( 58,122)( 61, 67)( 62,130)( 63, 88)( 65, 71)( 66,133)( 69, 75)( 70,134)( 73, 92)( 74,137)( 78,110)
        ( 79,106)( 82, 87)( 83,125)( 85, 91)( 86,146)( 89,129)( 90,149)( 93, 97)( 95,101)( 96,138)( 99,105)(100,155)
        (103,109)(104,151)(107,141)(108,148)(111,117)(112,116)(113,142)(115,121)(119,124)(120,143)(123,128)(126,145)
        (127,144)(131,136)(132,153)(135,140)(139,154)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 61,127)( 62, 87)( 64, 70)( 65,128)( 68, 74)( 69,131)( 72, 92)( 73, 91)( 77,111)( 78,107)
        ( 81, 86)( 82,119)( 84, 90)( 85,140)( 88,123)( 89,143)( 93, 98)( 94,132)( 96,102)( 97,152)(100,106)(101,149)
        (104,110)(105,145)(108,135)(109,142)(113,118)(114,136)(116,122)(117,156)(120,139)(121,138)(124,130)(125,154)
        (126,147)(129,134)(133,151)(137,155)(141,146)(144,150)(148,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 58,123)( 61, 67)( 62,135)( 63, 88)( 65, 71)( 66, 95)( 69, 75)( 70, 74)( 73, 92)( 78,112)( 79,108)
        ( 82, 87)( 83,127)( 85, 91)( 86,144)( 89,131)( 90,147)( 93, 99)( 94,136)( 97,103)( 98,137)(101,107)(102,133)
        (105,111)(106,149)(109,139)(110,146)(113,119)(114,156)(115,140)(117,122)(118,153)(121,126)(124,130)(125,154)
        (128,143)(129,142)(132,138)(134,148)(141,151)(145,150)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 54,107)( 57, 63)
        ( 58,111)( 61, 67)( 62,115)( 65, 71)( 66,119)( 69, 75)( 70,123)( 73, 80)( 74,124)( 78,100)( 79, 96)( 81, 87)
        ( 82, 94)( 83,127)( 85, 91)( 86, 90)( 89, 95)( 93, 99)( 97,131)( 98,128)(101,106)(102,143)(103,132)(105,110)
        (108,114)(109,144)(112,118)(113,147)(116,122)(117,151)(120,126)(121,137)(125,130)(129,138)(133,139)(134,135)
        (136,152)(140,146)(141,156)(142,153)(145,150)(148,154)(149,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,120)( 61, 67)( 62,131)( 63, 84)( 66, 71)( 69, 88)( 70,132)( 74,108)( 75,104)( 77, 83)( 78, 86)
        ( 79,123)( 82, 87)( 85,127)( 89, 95)( 90,102)( 91,135)( 93, 99)( 94, 98)( 97,103)(101,107)(105,139)(106,136)
        (109,115)(110,152)(111,140)(113,119)(114,149)(117,122)(118,153)(121,126)(124,130)(125,154)(128,134)(129,145)
        (133,138)(137,146)(141,147)(142,143)(144,155)(148,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 32)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 31)( 27, 83)( 28, 56)( 30, 35)( 33, 59)( 34, 84)
        ( 37, 43)( 38, 96)( 39, 71)( 41, 47)( 42, 93)( 45, 75)( 46, 97)( 49, 55)( 50,109)( 51, 76)( 53, 58)( 54,113)
        ( 57, 79)( 60, 66)( 61,121)( 62, 87)( 64, 70)( 65,122)( 68, 74)( 69,125)( 72, 91)( 73,129)( 77,105)( 78,101)
        ( 80, 86)( 81,141)( 82,114)( 85, 90)( 88,117)( 89,142)( 92, 95)( 94,100)( 98,104)( 99,130)(102,133)(103,145)
        (106,112)(107,135)(108,134)(110,116)(111,150)(115,137)(118,124)(119,153)(120,143)(123,128)(126,132)(127,154)
        (131,148)(136,149)(138,144)(139,156)(140,151)(146,152)(147,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 36)( 19, 67)( 23, 48)( 24, 44)( 26, 32)( 27, 83)( 28, 56)( 30, 35)( 31, 87)( 34, 59)
        ( 37, 43)( 38, 96)( 39, 71)( 41, 47)( 42, 93)( 45, 75)( 46, 97)( 49, 55)( 50,109)( 51, 76)( 53, 58)( 54,113)
        ( 57, 79)( 60, 66)( 61,121)( 62, 88)( 64, 70)( 65,122)( 68, 74)( 69,125)( 72, 91)( 73,129)( 77,105)( 78,101)
        ( 80, 86)( 81,141)( 82,114)( 84, 90)( 85,142)( 89,117)( 92, 95)( 94,100)( 98,104)( 99,130)(102,133)(103,145)
        (106,112)(107,135)(108,134)(110,116)(111,150)(115,137)(118,124)(119,153)(120,143)(123,128)(126,132)(127,154)
        (131,148)(136,149)(138,144)(139,156)(140,151)(146,152)(147,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 36)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 35)( 31, 88)( 34, 60)
        ( 37, 43)( 38, 96)( 39, 72)( 41, 47)( 42,100)( 45, 76)( 46,104)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,123)( 61, 67)( 62,135)( 63, 89)( 65, 71)( 66, 95)( 69, 75)( 70, 74)( 73, 92)( 78,112)( 79,108)
        ( 81, 87)( 82,144)( 83,127)( 85, 91)( 86,147)( 90,131)( 93, 99)( 94,136)( 97,103)( 98,137)(101,107)(102,133)
        (105,111)(106,149)(109,139)(110,146)(113,119)(114,156)(115,140)(117,122)(118,153)(121,126)(124,130)(125,154)
        (128,143)(129,142)(132,138)(134,148)(141,151)(145,150)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 50)( 16, 33)( 18, 37)( 19, 60)( 23, 48)( 24, 45)( 26, 32)( 27, 72)( 28, 56)( 30, 36)( 31, 76)( 34, 54)
        ( 35, 80)( 38, 44)( 39, 65)( 40, 64)( 42, 47)( 43, 66)( 46, 62)( 49, 55)( 51, 63)( 53, 59)( 57, 68)( 58, 81)
        ( 61, 67)( 69, 75)( 70, 92)( 71, 84)( 73, 79)( 74, 96)( 77, 83)( 78,100)( 82, 87)( 85, 88)( 86,101)( 89, 95)
        ( 90,112)( 91,104)( 93, 99)( 94,116)( 97,103)( 98,120)(102,107)(105,108)(106,121)(109,115)(110,132)(111,124)
        (113,119)(114,136)(117,123)(118,140)(122,127)(125,128)(126,141)(129,135)(130,150)(131,144)(133,139)(134,153)
        (137,143)(138,154)(142,147)(145,148)(146,155)(149,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152)(153,154,155,156) ), 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, 65)( 23, 48)( 24, 44)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 43)( 39, 68)( 41, 47)( 42, 97)( 45, 72)( 46,100)( 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)( 78,147)
        ( 79,123)( 81, 87)( 82,151)( 85, 91)( 86,156)( 89, 95)( 90,153)( 93,127)( 94,149)( 98,103)( 99,135)(101,106)
        (102,136)(105,139)(108,114)(109,146)(110,140)(112,118)(113,125)(116,122)(117,121)(120,126)(124,143)(128,134)
        (129,141)(130,145)(133,138)(137,142)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 65)( 23, 48)( 24, 45)( 26, 32)( 27, 80)( 28, 56)( 30, 36)( 31, 84)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 96)( 40, 68)( 42, 47)( 43,100)( 46, 72)( 49, 55)( 50,107)( 51, 73)( 53, 59)( 54,111)
        ( 57, 76)( 58,116)( 61, 67)( 62,121)( 63, 89)( 66, 71)( 69, 92)( 70,122)( 74,104)( 75,101)( 77, 83)( 78,133)
        ( 79,113)( 81, 87)( 82,137)( 85, 91)( 86,141)( 90,117)( 93, 99)( 94,149)( 95,125)( 97,103)( 98,153)(102,129)
        (105,110)(106,130)(108,114)(109,136)(112,115)(118,124)(119,148)(120,142)(123,128)(126,146)(127,145)(131,135)
        (132,154)(134,140)(138,144)(139,155)(143,151)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106)(107,108,109,110)(111,112,113,114)(115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 80)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 94)( 40, 69)( 42, 48)( 43, 98)( 46, 73)( 47,102)( 50, 56)( 51,110)( 52, 74)( 54, 60)
        ( 55,114)( 58, 76)( 59,117)( 62, 68)( 63,129)( 64, 88)( 67, 72)( 70, 92)( 71,130)( 75,106)( 77, 83)( 78,137)
        ( 79,121)( 81, 87)( 82,141)( 86, 91)( 89,125)( 90,142)( 93, 97)( 95,101)( 96,131)( 99,105)(100,127)(103,109)
        (104,146)(107,113)(108,149)(111,116)(112,153)(115,120)(118,124)(119,154)(122,134)(123,133)(126,132)(128,145)
        (135,140)(136,155)(138,144)(139,151)(143,148)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 89)( 67, 72)( 70, 93)( 71,136)( 75,111)( 76,107)( 78, 84)
        ( 79,146)( 80,127)( 83, 88)( 86, 92)( 87,147)( 90,131)( 91,150)( 94, 98)( 96,102)( 97,137)(100,106)(101,133)
        (104,110)(105,154)(108,139)(109,145)(112,118)(113,125)(114,140)(116,122)(117,121)(120,126)(124,130)(128,142)
        (129,141)(132,138)(134,153)(143,149)(144,155)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 66)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 85)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 95)( 40, 69)( 42, 48)( 43, 99)( 46, 73)( 47,103)( 50, 56)( 51,115)( 52, 74)( 54, 60)
        ( 55,119)( 58, 77)( 59,123)( 62, 68)( 63,135)( 64, 89)( 67, 72)( 70, 93)( 71,136)( 75,111)( 76,107)( 78, 84)
        ( 79,146)( 80,127)( 82, 88)( 83,149)( 87, 92)( 90,131)( 91,150)( 94, 98)( 96,102)( 97,137)(100,106)(101,133)
        (104,110)(105,154)(108,139)(109,145)(112,118)(113,125)(114,140)(116,122)(117,121)(120,126)(124,130)(128,142)
        (129,141)(132,138)(134,153)(143,148)(144,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 88)( 38, 44)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,121)( 52, 74)( 54, 60)
        ( 55,118)( 58, 77)( 59,122)( 62, 68)( 63,133)( 64, 92)( 67, 72)( 70, 96)( 71,134)( 75,116)( 76,112)( 78, 84)
        ( 79,145)( 80,126)( 82, 87)( 83,149)( 86, 91)( 89, 95)( 90,150)( 93,129)( 94,151)( 97,103)( 98,102)( 99,137)
        (101,107)(105,111)(106,138)(109,115)(110,153)(113,124)(114,144)(117,120)(119,125)(123,128)(127,141)(130,136)
        (131,155)(132,147)(135,140)(139,156)(142,148)(143,154)(146,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 39,100)( 40, 69)( 42, 48)( 43,104)( 46, 73)( 47,108)( 50, 56)( 51,121)( 52, 74)( 54, 60)
        ( 55,118)( 58, 77)( 59,122)( 62, 68)( 63,133)( 64, 92)( 67, 72)( 70, 96)( 71,134)( 75,116)( 76,112)( 78, 84)
        ( 79,145)( 80,126)( 82, 88)( 83,149)( 86, 91)( 87,150)( 90, 95)( 93,129)( 94,151)( 97,103)( 98,102)( 99,137)
        (101,107)(105,111)(106,138)(109,115)(110,153)(113,124)(114,144)(117,120)(119,125)(123,128)(127,141)(130,136)
        (131,155)(132,147)(135,140)(139,156)(142,148)(143,154)(146,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 39,100)( 40, 69)( 42, 47)( 43,104)( 46, 72)( 49, 55)( 50,112)( 51, 73)( 53, 59)( 54,116)
        ( 57, 76)( 58,120)( 61, 67)( 62, 98)( 63, 92)( 65, 71)( 66,129)( 70, 96)( 74,108)( 75,105)( 77, 83)( 78,125)
        ( 79,124)( 81, 87)( 82,135)( 85, 91)( 86,138)( 89, 95)( 90,142)( 93,102)( 94,133)( 97,103)( 99,128)(101,107)
        (106,130)(109,115)(110,146)(111,131)(113,119)(114,147)(117,123)(118,150)(121,127)(122,154)(126,134)(132,143)
        (136,141)(137,155)(139,145)(140,152)(144,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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)( 39,100)( 40, 69)( 42, 47)( 43,103)( 46, 72)( 49, 55)( 50,111)( 51, 73)( 53, 59)( 54,115)
        ( 57, 76)( 58,120)( 61, 67)( 62,125)( 63, 92)( 65, 71)( 66,126)( 70, 96)( 74,107)( 75,104)( 77, 83)( 78,133)
        ( 79,117)( 81, 87)( 82,137)( 85, 91)( 86,141)( 89, 95)( 90,145)( 93,121)( 94,149)( 97,102)( 98,132)( 99,127)
        (101,106)(105,129)(108,114)(109,154)(110,130)(112,118)(113,136)(116,119)(122,128)(123,131)(124,153)(134,140)
        (135,155)(138,144)(139,151)(142,148)(143,147)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)(119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 77)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 84)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 55)( 51, 73)( 53, 59)( 54,113)
        ( 57, 76)( 58,116)( 61, 67)( 62,128)( 63, 88)( 65, 71)( 66,132)( 70, 92)( 74,112)( 75,108)( 78, 83)( 79,120)
        ( 81, 87)( 82,141)( 85, 91)( 86,144)( 89,124)( 90,148)( 93, 99)( 94,126)( 95,133)( 97,103)( 98,153)(101,107)
        (102,150)(105,111)(106,146)(109,136)(110,143)(114,119)(115,137)(117,123)(118,156)(121,140)(122,139)(125,131)
        (127,152)(129,135)(130,134)(138,155)(142,147)(145,151)(149,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), 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, 85)( 38, 44)( 39, 96)( 40, 69)( 42, 48)( 43,100)( 46, 72)( 47,104)( 50, 56)( 51,114)( 52, 73)( 54, 59)
        ( 55,118)( 58, 76)( 61, 67)( 62,126)( 63, 88)( 65, 71)( 66,130)( 70, 92)( 74,112)( 75,108)( 77, 83)( 78,138)
        ( 79,119)( 81, 87)( 82,142)( 86, 91)( 89,122)( 90,143)( 93, 99)( 94,124)( 95,131)( 97,103)( 98,147)(101,107)
        (102,150)(105,111)(106,154)(109,116)(110,137)(113,117)(115,121)(120,134)(123,129)(125,146)(127,133)(128,132)
        (135,141)(136,155)(139,145)(140,152)(144,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 70)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,124)( 62, 68)( 63,136)( 64, 88)( 66, 72)( 67,140)( 71, 92)( 75,112)( 76,108)( 78, 84)
        ( 79, 90)( 80,128)( 83, 87)( 86, 91)( 89,132)( 93, 99)( 94, 98)( 95,141)( 97,103)(101,107)(102,142)(105,111)
        (106,138)(109,144)(110,134)(113,119)(114,151)(115,145)(117,123)(118,156)(121,127)(122,153)(125,131)(126,150)
        (129,135)(130,147)(133,139)(137,143)(146,148)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 81)( 28, 57)( 30, 36)( 31, 84)( 34, 61)
        ( 35, 85)( 38, 44)( 39, 96)( 40, 70)( 42, 48)( 43,100)( 46, 73)( 47,104)( 50, 56)( 51,116)( 52, 74)( 54, 60)
        ( 55,120)( 58, 77)( 59,124)( 62, 68)( 63,136)( 64, 88)( 66, 72)( 67,140)( 71, 92)( 75,112)( 76,108)( 78, 83)
        ( 79, 90)( 80,128)( 82, 87)( 86, 91)( 89,132)( 93, 99)( 94, 98)( 95,141)( 97,103)(101,107)(102,142)(105,111)
        (106,138)(109,144)(110,134)(113,119)(114,151)(115,145)(117,123)(118,156)(121,127)(122,153)(125,131)(126,150)
        (129,135)(130,147)(133,139)(137,143)(146,148)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150)(151,152,153,154)(155,156) ), 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, 73)( 45, 76)( 46,100)( 49, 55)( 50,110)( 51, 77)( 53, 59)( 54,114)
        ( 57, 80)( 58,118)( 61, 67)( 62,116)( 63, 96)( 65, 71)( 66,112)( 69, 75)( 70,108)( 74,103)( 78,106)( 79,105)
        ( 81, 87)( 82,130)( 83,122)( 85, 91)( 86,134)( 89, 95)( 90,138)( 93, 99)( 94,142)( 97,120)( 98,146)(101,104)
        (102,109)(107,113)(111,117)(115,121)(119,125)(123,126)(124,147)(127,133)(128,132)(129,150)(131,137)(135,141)
        (136,151)(139,145)(140,154)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 46)( 42,100)( 45, 75)( 48, 54)( 49,107)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,116)( 60, 66)( 61,121)( 62, 95)( 64, 70)( 65,122)( 68, 74)( 69,125)( 72, 99)( 73,126)( 77,103)( 78,101)
        ( 80, 86)( 81,133)( 82,113)( 84, 90)( 85,137)( 88, 94)( 89,141)( 92, 98)( 93,145)( 96,117)( 97,149)(102,129)
        (104,110)(105,154)(106,130)(108,114)(109,136)(112,115)(118,124)(119,131)(120,153)(123,128)(127,132)(134,140)
        (135,155)(138,144)(139,151)(142,148)(143,147)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 44)( 26, 32)( 27, 83)( 28, 55)( 30, 36)( 31, 87)( 34, 59)
        ( 35, 91)( 38, 43)( 39, 71)( 41, 46)( 42,100)( 45, 75)( 48, 54)( 49,107)( 50, 76)( 52, 58)( 53,111)( 56, 79)
        ( 57,116)( 60, 66)( 61,121)( 62, 95)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 99)( 73,133)( 77,103)( 78,101)
        ( 80, 86)( 81,141)( 82,113)( 84, 90)( 85,145)( 88, 94)( 89,146)( 92, 98)( 93,149)( 96,117)( 97,150)(102,137)
        (104,110)(105,154)(106,138)(108,114)(109,144)(112,115)(118,124)(119,139)(120,153)(122,128)(123,135)(126,132)
        (127,131)(130,136)(134,140)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 81)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 89)( 38, 44)( 39,101)( 40, 72)( 42, 47)( 43,105)( 46, 75)( 49, 55)( 50,113)( 51, 76)( 53, 59)( 54,117)
        ( 57, 79)( 58,121)( 61, 67)( 62,129)( 63, 93)( 65, 71)( 66,133)( 69, 74)( 70,137)( 73, 97)( 77,109)( 78,106)
        ( 80, 84)( 82, 88)( 83,122)( 86, 92)( 87,146)( 90, 96)( 91,149)( 94,125)( 95,153)( 98,104)( 99,131)(100,138)
        (102,108)(103,127)(107,141)(110,116)(111,155)(112,142)(114,120)(115,151)(118,124)(119,148)(123,145)(126,132)
        (128,144)(130,136)(134,140)(135,139)(143,154)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 83)( 28, 56)( 30, 36)( 31, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 47)( 43,107)( 46, 75)( 49, 55)( 50,115)( 51, 76)( 53, 59)( 54,119)
        ( 57, 79)( 58,124)( 61, 67)( 62,129)( 63, 95)( 65, 71)( 66,133)( 69, 74)( 70,137)( 73, 99)( 77,111)( 78,108)
        ( 80, 86)( 81,145)( 82,121)( 84, 90)( 85,146)( 88, 94)( 89,149)( 92, 98)( 93,153)( 96,125)( 97,154)(100,106)
        (101,131)(102,138)(104,110)(105,127)(109,141)(112,118)(113,151)(114,142)(116,122)(117,148)(120,123)(126,132)
        (128,144)(130,136)(134,140)(135,139)(143,155)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,119)( 52, 77)( 54, 59)
        ( 57, 79)( 58,120)( 61, 67)( 62,131)( 63, 95)( 65, 71)( 66,132)( 69, 75)( 70,135)( 73, 99)( 74,140)( 78,115)
        ( 80, 86)( 81,124)( 82,123)( 84, 90)( 85,142)( 88, 94)( 89,145)( 92, 98)( 93,149)( 96,127)( 97,153)(100,106)
        (101,129)(102,137)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,122)(117,144)(121,126)(125,141)
        (128,134)(130,154)(133,138)(136,139)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 47,108)( 50, 56)( 51,116)( 52, 78)( 54, 60)
        ( 55,120)( 58, 80)( 59,124)( 62, 68)( 63,122)( 64, 96)( 66, 72)( 67,118)( 70, 76)( 71,114)( 74,100)( 75,110)
        ( 79,112)( 81, 87)( 82,135)( 83,128)( 85, 91)( 86,139)( 89, 95)( 90,143)( 93, 99)( 94,144)( 97,126)( 98,147)
        (102,107)(103,106)(105,111)(109,115)(113,119)(117,123)(121,127)(125,131)(129,132)(130,148)(133,138)(134,151)
        (136,142)(137,156)(140,146)(141,153)(145,150)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 89)( 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)( 85, 91)( 86,146)( 90, 95)( 93,122)( 94,147)( 97,103)( 98,124)( 99,138)
        (101,107)(102,151)(105,111)(106,154)(109,115)(110,145)(113,119)(117,120)(123,129)(125,150)(127,133)(128,139)
        (132,137)(135,141)(136,140)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 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)
        ( 55,124)( 58, 80)( 59,121)( 62, 68)( 63,129)( 64, 95)( 66, 72)( 67,133)( 70, 76)( 71,134)( 74, 99)( 75,137)
        ( 79,115)( 81, 86)( 82,145)( 83,117)( 85, 90)( 88, 94)( 89,146)( 92, 98)( 93,149)( 96,125)( 97,153)(100,106)
        (101,127)(102,141)(104,110)(105,155)(108,114)(109,151)(112,118)(113,148)(116,122)(120,123)(126,132)(128,154)
        (130,136)(131,142)(135,140)(138,144)(139,143)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 77)( 47,111)( 50, 56)( 51,119)( 52, 78)( 54, 60)
        ( 55,124)( 58, 80)( 59,121)( 62, 68)( 63,129)( 64, 96)( 66, 72)( 67,133)( 70, 76)( 71,134)( 74, 99)( 75,137)
        ( 79,115)( 81, 87)( 82,145)( 83,117)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 98)( 94,153)( 97,125)(100,106)
        (101,127)(102,141)(104,110)(105,155)(108,114)(109,151)(112,118)(113,148)(116,122)(120,123)(126,132)(128,154)
        (130,136)(131,142)(135,140)(138,144)(139,143)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62,128)( 63, 92)( 65, 71)( 66,132)( 69, 75)( 70,136)( 73, 96)( 74,137)( 78,116)
        ( 79,112)( 81, 87)( 82,144)( 83,114)( 86, 91)( 89, 95)( 90,145)( 93,124)( 94,148)( 97,103)( 98,126)( 99,140)
        (101,107)(102,153)(105,111)(106,150)(109,115)(110,147)(113,121)(118,123)(119,122)(125,131)(127,152)(129,135)
        (130,141)(133,139)(134,156)(138,143)(142,155)(146,151)(149,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,100)( 40, 72)( 42, 48)( 43,104)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62,128)( 63, 93)( 65, 71)( 66,132)( 69, 75)( 70,136)( 73, 96)( 74,137)( 78,116)
        ( 79,112)( 81, 87)( 82,144)( 83,114)( 85, 91)( 86,147)( 89, 95)( 90,151)( 94,124)( 97,103)( 98,126)( 99,140)
        (101,107)(102,153)(105,111)(106,149)(109,115)(110,146)(113,121)(118,123)(119,122)(125,131)(127,152)(129,135)
        (130,141)(133,139)(134,156)(138,143)(142,155)(145,150)(148,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 89)( 38, 44)( 39,100)( 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)( 85, 91)( 86,146)( 90, 95)( 93,122)( 94,147)( 97,103)( 98,124)( 99,139)
        (101,107)(102,151)(105,111)(106,154)(109,115)(110,145)(113,120)(117,121)(123,129)(125,150)(127,133)(128,140)
        (131,137)(132,136)(135,141)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 87)( 34, 60)
        ( 35, 91)( 38, 44)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,121)( 52, 77)( 54, 59)
        ( 57, 80)( 58,122)( 61, 67)( 62,129)( 63, 95)( 65, 71)( 66,133)( 69, 75)( 70,137)( 73, 99)( 74,141)( 78,119)
        ( 79,115)( 81, 86)( 82,145)( 83,117)( 85, 90)( 88, 94)( 89,146)( 92, 98)( 93,149)( 96,125)( 97,153)(100,106)
        (101,127)(102,142)(104,110)(105,155)(108,114)(109,151)(112,118)(113,148)(116,123)(120,124)(126,132)(128,154)
        (130,136)(131,143)(134,140)(135,139)(138,144)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 39,103)( 40, 72)( 42, 48)( 43,107)( 46, 76)( 47,111)( 50, 55)( 51,121)( 52, 77)( 54, 59)
        ( 57, 80)( 58,122)( 61, 67)( 62,129)( 63, 96)( 65, 71)( 66,133)( 69, 75)( 70,137)( 73, 99)( 74,141)( 78,119)
        ( 79,115)( 81, 87)( 82,145)( 83,117)( 85, 91)( 86,146)( 89, 95)( 90,149)( 93, 98)( 94,153)( 97,125)(100,106)
        (101,127)(102,142)(104,110)(105,155)(108,114)(109,151)(112,118)(113,148)(116,123)(120,124)(126,132)(128,154)
        (130,136)(131,143)(134,140)(135,139)(138,144)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)(119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 86)( 34, 60)
        ( 35, 90)( 38, 44)( 39,102)( 40, 72)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 55)( 51,118)( 52, 77)( 54, 59)
        ( 57, 80)( 58,119)( 61, 67)( 62,126)( 63, 94)( 65, 71)( 66,130)( 69, 75)( 70,134)( 73, 98)( 74,138)( 78,114)
        ( 79,111)( 81, 85)( 83, 89)( 84,120)( 87, 93)( 88,116)( 91, 97)( 92,148)( 95,122)( 96,150)( 99,105)(100,124)
        (101,142)(103,109)(104,155)(107,113)(108,152)(112,146)(115,121)(117,147)(123,129)(125,154)(127,133)(128,143)
        (131,137)(132,144)(135,141)(136,140)(139,145)(149,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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)(118,150)(119,130)(121,127)(122,156)(125,131)(126,153)(134,139)
        (137,143)(138,145)(141,147)(142,149)(146,148)(151,155)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), 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)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 96)( 75,147)
        ( 79,116)( 80,112)( 82, 88)( 83,151)( 84,114)( 87, 92)( 90, 95)( 91,152)( 94,131)( 97,103)( 98,141)( 99,148)
        (101,107)(102,137)(105,111)(106,133)(109,115)(110,154)(113,128)(117,122)(118,156)(119,129)(121,126)(124,130)
        (125,155)(132,138)(134,153)(136,142)(140,146)(144,150)(145,149),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 89)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,129)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,133)( 70, 76)( 71,137)( 74, 97)( 75,141)
        ( 79,117)( 80,113)( 82, 88)( 83,145)( 84,115)( 87, 92)( 90, 96)( 91,146)( 94,103)( 95,149)( 98,104)(100,136)
        (102,108)(106,112)(107,150)(110,116)(111,148)(114,130)(118,124)(119,152)(120,131)(122,128)(123,156)(126,132)
        (127,154)(134,140)(135,142)(138,144)(139,143)(147,151)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,129)( 62, 68)( 63, 99)( 64, 93)( 66, 72)( 67,133)( 70, 76)( 71,137)( 74, 97)( 75,141)
        ( 79,117)( 80,113)( 82, 88)( 83,145)( 84,115)( 86, 92)( 87,148)( 91, 96)( 94,103)( 95,149)( 98,104)(100,136)
        (102,108)(106,112)(107,150)(110,116)(111,147)(114,130)(118,124)(119,152)(120,131)(122,128)(123,156)(126,132)
        (127,154)(134,140)(135,142)(138,144)(139,143)(146,151)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,128)( 62, 68)( 63,136)( 64, 93)( 66, 72)( 67,140)( 70, 76)( 71,144)( 74, 97)( 75,145)
        ( 79,117)( 80,113)( 82, 88)( 83,150)( 84,115)( 86, 92)( 87,154)( 91, 96)( 94,132)( 95,155)( 98,104)( 99,142)
        (100,149)(102,108)(103,138)(106,112)(107,134)(110,116)(111,153)(114,129)(118,123)(119,130)(121,127)(122,126)
        (125,131)(133,139)(135,152)(137,143)(141,147)(146,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 90)( 38, 44)( 39,101)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,121)( 52, 78)( 54, 60)
        ( 55,125)( 58, 81)( 59,128)( 62, 68)( 63,136)( 64, 93)( 66, 72)( 67,140)( 70, 76)( 71,144)( 74, 97)( 75,149)
        ( 79,117)( 80,113)( 82, 88)( 83,150)( 84,115)( 86, 92)( 87,154)( 91, 96)( 94,132)( 95,155)( 98,104)( 99,142)
        (100,146)(102,108)(103,138)(106,112)(107,134)(110,116)(111,153)(114,129)(118,124)(119,123)(120,130)(122,127)
        (126,131)(133,139)(135,152)(137,143)(141,147)(145,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), 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)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 93)( 66, 72)( 67,139)( 70, 76)( 71,143)( 74, 96)( 75,147)
        ( 79,116)( 80,112)( 82, 87)( 83,151)( 84,114)( 86, 91)( 89, 95)( 90,152)( 94,131)( 97,103)( 98,141)( 99,148)
        (101,107)(102,137)(105,111)(106,133)(109,115)(110,154)(113,128)(117,122)(118,156)(119,129)(121,126)(124,130)
        (125,155)(132,138)(134,153)(136,142)(140,146)(144,150)(145,149),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 82,141)( 83,132)( 85, 91)( 86,145)( 89, 95)( 90,149)( 93, 99)( 94,153)( 98,123)(101,107)
        (102,137)(103,110)(105,111)(106,136)(109,115)(113,119)(121,127)(122,154)(125,131)(126,155)(129,135)(130,151)
        (133,138)(134,147)(139,144)(140,143)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)
        ( 83,127)( 84,117)( 86, 92)( 87,131)( 90, 96)( 91,134)( 94,100)( 95,138)( 99,120)(102,108)(103,122)(104,111)
        (106,112)(107,121)(110,116)(118,123)(119,139)(124,130)(125,149)(126,142)(128,133)(129,153)(132,137)(135,141)
        (136,154)(140,145)(143,146)(144,155)(147,152)(148,151)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,123)( 52, 77)( 54, 60)
        ( 55,127)( 58, 80)( 59,131)( 62, 67)( 63, 96)( 65, 71)( 66,136)( 69, 75)( 70,139)( 73,100)( 74,143)( 78,120)
        ( 79,116)( 81, 87)( 82,114)( 83,118)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93, 99)( 94,102)( 97,135)( 98,148)
        (101,107)(103,147)(105,111)(109,115)(113,119)(117,132)(121,126)(122,133)(124,130)(125,129)(128,134)(137,142)
        (138,151)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,124)( 52, 77)( 54, 60)
        ( 55,128)( 58, 80)( 59,131)( 62, 67)( 63, 96)( 65, 71)( 66,136)( 69, 75)( 70,139)( 73,100)( 74,143)( 78,120)
        ( 79,116)( 81, 87)( 82,114)( 83,118)( 85, 91)( 86,110)( 89, 95)( 90,106)( 93, 99)( 94,102)( 97,135)( 98,148)
        (101,107)(103,147)(105,111)(109,115)(113,119)(117,132)(121,127)(122,126)(123,133)(125,130)(129,134)(137,142)
        (138,151)(140,146)(141,156)(144,150)(145,153)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)
        ( 55,127)( 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, 91)( 87,147)( 90, 95)( 93, 99)( 94,148)( 97,106)( 98,151)
        (101,107)(103,138)(105,111)(109,115)(110,152)(113,119)(114,146)(117,132)(121,126)(122,156)(123,133)(125,130)
        (128,134)(129,155)(136,142)(137,141)(144,150)(145,153)(149,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 83,145)( 84,136)( 86, 92)( 87,149)( 90, 95)( 91,153)( 94, 99)( 97,130)( 98,154)
        (101,107)(102,141)(103,110)(105,111)(106,140)(109,115)(113,119)(117,123)(121,127)(125,131)(129,135)(133,139)
        (134,155)(137,142)(138,151)(143,148)(144,147)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,124)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,137)( 74,101)( 75,141)
        ( 79,121)( 80,117)( 82, 88)( 83,142)( 84,119)( 86, 92)( 87,146)( 90, 96)( 91,147)( 94,100)( 95,150)( 98,107)
        ( 99,153)(102,108)(104,139)(106,112)(110,116)(111,154)(114,120)(115,145)(118,133)(122,127)(123,134)(125,131)
        (126,130)(129,135)(138,140)(143,149)(144,155)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152)(153,154,155,156) ), 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)( 51,124)( 52, 78)( 54, 60)
        ( 55,128)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,137)( 74,101)( 75,141)
        ( 79,121)( 80,117)( 82, 88)( 83,142)( 84,119)( 86, 92)( 87,146)( 90, 96)( 91,149)( 94,100)( 95,150)( 98,107)
        ( 99,153)(102,108)(104,139)(106,112)(110,116)(111,154)(114,120)(115,145)(118,133)(122,127)(123,134)(125,131)
        (126,130)(129,135)(138,140)(143,148)(144,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,125)( 52, 78)( 54, 60)
        ( 55,129)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,141)( 74,101)( 75,138)
        ( 79,121)( 80,117)( 82, 88)( 83,142)( 84,119)( 86, 92)( 87,146)( 90, 96)( 91,147)( 94,100)( 95,150)( 98,107)
        ( 99,153)(102,108)(104,139)(106,112)(110,116)(111,154)(114,120)(115,145)(118,133)(122,128)(123,127)(124,134)
        (126,131)(130,135)(137,140)(143,149)(144,155)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152)(153,154,155,156) ), 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)( 51,125)( 52, 78)( 54, 60)
        ( 55,129)( 58, 81)( 59,132)( 62, 68)( 63,103)( 64, 97)( 66, 72)( 67,136)( 70, 76)( 71,141)( 74,101)( 75,138)
        ( 79,121)( 80,117)( 82, 88)( 83,142)( 84,119)( 86, 92)( 87,146)( 90, 96)( 91,149)( 94,100)( 95,150)( 98,107)
        ( 99,153)(102,108)(104,139)(106,112)(110,116)(111,154)(114,120)(115,145)(118,133)(122,128)(123,127)(124,134)
        (126,131)(130,135)(137,140)(143,148)(144,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137,138,139)(140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,123)( 52, 78)( 54, 60)
        ( 55,127)( 58, 81)( 59,131)( 62, 68)( 63,139)( 64, 97)( 66, 72)( 67,140)( 70, 76)( 71,143)( 74,101)( 75,147)
        ( 79,120)( 80,116)( 82, 88)( 83, 87)( 84,132)( 86, 92)( 90, 96)( 91,133)( 94,100)( 95,129)( 98,135)( 99,125)
        (102,107)(103,151)(105,111)(106,156)(109,115)(110,153)(113,119)(114,149)(117,137)(118,145)(121,126)(122,138)
        (124,130)(128,134)(136,142)(141,146)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39,102)( 40, 73)( 42, 48)( 43,106)( 46, 76)( 47,110)( 50, 56)( 51,119)( 52, 77)( 54, 60)
        ( 55,121)( 58, 80)( 59,125)( 62, 68)( 63,133)( 64, 94)( 66, 72)( 67,137)( 70, 75)( 71,101)( 74, 98)( 78,118)
        ( 79,114)( 81, 85)( 83, 89)( 84,126)( 87, 93)( 88,142)( 91, 97)( 92,145)( 95,129)( 96,149)( 99,105)(100,138)
        (103,109)(104,155)(107,113)(108,151)(111,117)(112,147)(115,123)(116,144)(120,124)(122,128)(127,141)(130,136)
        (131,135)(132,153)(134,140)(139,154)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 67,134)( 70, 75)( 71,137)( 74, 96)( 78,116)
        ( 79,112)( 81, 87)( 82,145)( 83,118)( 85, 91)( 86,149)( 89, 95)( 90,153)( 94,126)( 97,103)( 98,128)( 99,138)
        (101,107)(102,155)(105,111)(106,151)(109,115)(110,147)(113,142)(114,141)(117,123)(119,143)(121,124)(127,133)
        (129,154)(131,136)(132,139)(135,140)(144,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,124)( 52, 77)( 54, 60)
        ( 55,121)( 58, 80)( 59,125)( 62, 68)( 63,137)( 64, 96)( 66, 71)( 67,138)( 70, 75)( 73,100)( 74,139)( 78,119)
        ( 79,115)( 81, 87)( 82,130)( 83,129)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,133)( 98,153)
        (101,106)(102,135)(104,110)(105,155)(108,114)(109,151)(112,118)(113,147)(116,127)(117,144)(120,123)(122,128)
        (126,132)(131,141)(134,140)(136,154)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,117)( 58, 80)( 61, 67)( 62,124)( 63, 96)( 65, 71)( 66,128)( 69, 75)( 70,133)( 73,100)( 74,130)( 79,116)
        ( 81, 87)( 82,134)( 83,118)( 85, 91)( 86,138)( 89, 95)( 90,139)( 93, 99)( 94,142)( 97,120)( 98,146)(101,107)
        (102,122)(103,126)(105,111)(106,150)(109,115)(110,153)(113,119)(114,137)(121,127)(123,149)(125,131)(129,132)
        (135,141)(136,154)(140,145)(143,148)(144,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 39,104)( 40, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51, 78)( 52, 77)( 54, 59)
        ( 55,117)( 58, 80)( 61, 67)( 62,124)( 63, 96)( 65, 71)( 66,128)( 69, 75)( 70,133)( 73,100)( 74,130)( 79,116)
        ( 81, 87)( 82,134)( 83,118)( 85, 91)( 86,138)( 89, 95)( 90,141)( 93, 99)( 94,145)( 97,120)( 98,146)(101,107)
        (102,122)(103,126)(105,111)(106,150)(109,115)(110,153)(113,119)(114,137)(121,127)(123,149)(125,131)(129,132)
        (135,140)(136,154)(139,144)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 62)( 51, 77)( 53, 59)( 54, 97)
        ( 57, 80)( 58,108)( 61, 67)( 63, 96)( 65, 71)( 66, 78)( 69, 75)( 70,106)( 73,101)( 74,100)( 79,105)( 81, 87)
        ( 82,120)( 83,112)( 85, 91)( 86,124)( 89, 95)( 90,128)( 93, 99)( 94,132)( 98,111)(103,107)(109,115)(110,133)
        (113,116)(114,136)(117,123)(118,146)(119,140)(121,127)(122,147)(125,131)(126,150)(129,135)(130,154)(134,139)
        (137,143)(138,155)(141,144)(142,152)(145,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 89)( 38, 44)( 39, 74)( 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)( 63,119)( 64, 86)( 66, 72)( 67,123)( 70, 76)( 71,127)( 75, 91)( 79, 99)
        ( 81, 87)( 82,122)( 83,115)( 85, 90)( 93, 98)( 94,128)( 96,102)( 97,136)(100,106)(101,139)(104,110)(105,143)
        (108,114)(109,147)(112,118)(113,152)(116,131)(117,149)(120,126)(121,132)(124,130)(125,153)(129,135)(133,156)
        (134,145)(137,142)(138,154)(140,146)(141,155)(144,150)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 63)( 52, 78)( 54, 60)
        ( 55, 98)( 58, 81)( 59,108)( 62, 68)( 64, 97)( 66, 72)( 67, 79)( 70, 76)( 71,106)( 75,101)( 80,105)( 82, 88)
        ( 83,120)( 84,112)( 86, 92)( 87,124)( 90, 96)( 91,128)( 94,100)( 95,132)( 99,111)(103,107)(109,115)(110,133)
        (113,116)(114,136)(117,123)(118,149)(119,140)(121,127)(122,146)(125,131)(126,150)(129,135)(130,154)(134,139)
        (137,143)(138,155)(141,144)(142,152)(145,148)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39, 46)( 40, 72)( 42, 47)( 45, 76)( 49, 55)( 50, 62)( 51, 77)( 53, 59)( 54, 97)( 57, 80)
        ( 58,100)( 61, 67)( 63, 96)( 65, 71)( 66, 78)( 69, 75)( 70, 74)( 73, 79)( 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)(110,137)
        (111,132)(113,119)(114,139)(117,123)(118,143)(121,127)(122,147)(126,131)(129,135)(130,148)(133,136)(134,151)
        (138,142)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39,104)( 40, 72)( 42, 47)( 45, 76)( 46,105)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,120)
        ( 57, 80)( 58,123)( 61, 67)( 62,135)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,112)( 79,108)
        ( 81, 87)( 82,143)( 83,127)( 85, 91)( 86,148)( 89, 95)( 90,145)( 93, 99)( 94,141)( 97,131)( 98,149)(101,107)
        (102,136)(106,111)(109,115)(110,137)(113,119)(114,133)(117,122)(118,154)(121,126)(124,130)(125,155)(128,139)
        (129,151)(132,138)(134,153)(140,146)(142,152)(144,147)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 44)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 43)( 39,104)( 40, 72)( 42, 47)( 45, 76)( 46,105)( 49, 55)( 50,116)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62,132)( 63, 96)( 65, 71)( 66,103)( 69, 75)( 70, 74)( 73,100)( 78,112)( 79,108)
        ( 81, 87)( 82,143)( 83,124)( 85, 91)( 86,148)( 89, 95)( 90,145)( 93, 99)( 94,141)( 97,128)( 98,149)(101,107)
        (102,133)(106,111)(109,136)(110,134)(113,119)(114,154)(115,137)(118,123)(121,127)(122,155)(125,139)(126,151)
        (129,135)(130,138)(131,153)(140,146)(142,152)(144,147)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 85)( 34, 60)
        ( 35, 88)( 38, 44)( 39, 99)( 40, 72)( 42, 48)( 43,103)( 46, 76)( 47,107)( 50, 55)( 51, 77)( 53, 59)( 54,116)
        ( 57, 80)( 58,119)( 61, 67)( 62,131)( 63, 92)( 65, 71)( 66, 98)( 69, 75)( 70, 74)( 73, 95)( 78,115)( 79,111)
        ( 81, 87)( 82,143)( 83,123)( 86, 91)( 89, 94)( 90,144)( 93,127)( 96,102)( 97,132)(100,106)(101,147)(104,110)
        (105,148)(108,114)(109,151)(112,135)(113,142)(117,122)(118,136)(120,126)(121,156)(124,139)(125,138)(128,134)
        (129,153)(130,145)(133,150)(137,155)(140,146)(141,152)(149,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 47,112)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,124)( 58, 81)( 59,127)( 62, 68)( 63,135)( 64, 97)( 66, 72)( 67,104)( 70, 76)( 71, 75)( 74,101)( 79,116)
        ( 80,113)( 82, 88)( 83,147)( 84,128)( 86, 92)( 87,151)( 90, 96)( 91,156)( 94,100)( 95,153)( 98,131)( 99,149)
        (102,108)(103,136)(106,111)(107,142)(110,115)(114,139)(117,123)(118,133)(119,140)(121,126)(122,146)(125,130)
        (129,143)(132,138)(134,145)(137,141)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,105)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62, 74)( 63, 96)( 65, 71)( 66, 70)( 69, 75)( 73,100)( 78,116)( 79,112)( 81, 87)
        ( 82,136)( 83,124)( 85, 91)( 86,140)( 89, 95)( 90,141)( 93, 99)( 94,144)( 97,103)( 98,147)(101,107)(102,151)
        (106,111)(109,115)(110,152)(113,128)(114,135)(118,123)(119,129)(121,127)(122,156)(125,132)(126,131)(130,155)
        (133,139)(134,153)(137,143)(138,149)(142,146)(145,150)(148,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 56)( 30, 36)( 31, 88)( 34, 60)
        ( 35, 92)( 38, 44)( 39,104)( 40, 72)( 42, 48)( 43,105)( 46, 76)( 47,108)( 50, 55)( 51, 77)( 53, 59)( 54,117)
        ( 57, 80)( 58,120)( 61, 67)( 62, 74)( 63, 96)( 65, 71)( 66, 70)( 69, 75)( 73,100)( 78,116)( 79,112)( 81, 87)
        ( 82,136)( 83,124)( 85, 91)( 86,140)( 89, 95)( 90,143)( 93, 99)( 94,144)( 97,103)( 98,147)(101,107)(102,151)
        (106,111)(109,115)(110,152)(113,128)(114,135)(118,123)(119,129)(121,127)(122,156)(125,132)(126,131)(130,155)
        (133,139)(134,153)(137,142)(138,149)(141,146)(145,150)(148,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 82)( 28, 57)( 30, 36)( 31, 86)( 34, 61)
        ( 35, 90)( 38, 44)( 39,102)( 40, 73)( 42, 48)( 43,105)( 46, 77)( 47,109)( 50, 56)( 51,117)( 52, 78)( 54, 60)
        ( 55,121)( 58, 80)( 59,125)( 62, 68)( 63, 75)( 64, 94)( 66, 72)( 67, 71)( 70, 76)( 74, 98)( 79,113)( 81, 85)
        ( 83, 89)( 84,126)( 87, 93)( 88,130)( 91, 97)( 92,133)( 95,101)( 96,137)( 99,104)(100,141)(103,108)(106,112)
        (107,142)(110,116)(111,145)(114,120)(115,149)(118,124)(119,153)(122,128)(123,154)(127,129)(131,136)(132,155)
        (134,140)(135,151)(138,144)(139,147)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,122)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,125)( 62, 68)( 63, 67)( 64, 97)( 66, 72)( 70, 76)( 71, 98)( 74,101)( 75,132)( 79,121)
        ( 80,117)( 82, 88)( 83,141)( 84,129)( 86, 92)( 87,145)( 90, 96)( 91,149)( 94,100)( 95,153)( 99,135)(102,108)
        (103,155)(104,137)(106,112)(107,151)(110,116)(111,147)(114,120)(115,143)(118,127)(119,140)(124,128)(126,131)
        (130,138)(133,136)(134,154)(139,144)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 51,125)( 52, 78)( 54, 60)
        ( 55,126)( 58, 81)( 59,123)( 62, 68)( 63, 67)( 64, 97)( 66, 72)( 70, 76)( 71, 98)( 74,101)( 75,132)( 79,121)
        ( 80,117)( 82, 88)( 83,141)( 84,128)( 86, 92)( 87,145)( 90, 96)( 91,149)( 94,100)( 95,153)( 99,135)(102,108)
        (103,155)(104,137)(106,112)(107,151)(110,116)(111,147)(114,120)(115,143)(118,130)(119,140)(122,127)(124,131)
        (129,138)(133,136)(134,154)(139,144)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39,105)( 40, 73)( 42, 48)( 43,109)( 46, 77)( 47,113)( 50, 56)( 51,126)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59,127)( 62, 68)( 63, 67)( 64, 97)( 66, 72)( 70, 76)( 71, 98)( 74,101)( 75,134)( 79,121)
        ( 80,117)( 82, 88)( 83,141)( 84,131)( 86, 92)( 87,145)( 90, 96)( 91,149)( 94,100)( 95,153)( 99,137)(102,108)
        (103,155)(104,135)(106,112)(107,151)(110,116)(111,147)(114,120)(115,143)(118,129)(119,140)(122,125)(124,130)
        (128,133)(132,138)(136,154)(139,144)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39,104)( 40, 73)( 42, 48)( 43,108)( 46, 77)( 47,112)( 50, 56)( 51,120)( 52, 78)( 54, 60)
        ( 55,123)( 58, 81)( 59, 80)( 62, 68)( 63,131)( 64, 96)( 66, 72)( 67,135)( 70, 76)( 71,140)( 74,100)( 75,137)
        ( 79,116)( 82, 87)( 83,124)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,127)( 98,153)(101,107)
        (102,129)(103,133)(105,111)(106,155)(109,115)(110,151)(113,119)(114,147)(117,122)(118,144)(121,126)(125,141)
        (128,134)(130,154)(132,138)(136,139)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,126)( 58, 81)( 59, 80)( 62, 68)( 63,134)( 64, 96)( 66, 71)( 67,137)( 70, 75)( 73,100)( 74,138)( 78,120)
        ( 79,116)( 82, 87)( 83,127)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,130)( 98,153)(101,107)
        (102,132)(103,139)(105,111)(106,155)(109,115)(110,151)(113,119)(114,147)(117,124)(118,144)(121,125)(123,129)
        (128,141)(131,136)(133,154)(135,140)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 72)( 42, 48)( 43,108)( 46, 76)( 47,112)( 50, 56)( 51,122)( 52, 77)( 54, 60)
        ( 55,126)( 58, 81)( 59, 80)( 62, 68)( 63,134)( 64, 96)( 66, 71)( 67,138)( 70, 75)( 73,100)( 74,139)( 78,120)
        ( 79,116)( 82, 87)( 83,127)( 85, 91)( 86,142)( 89, 95)( 90,145)( 93, 99)( 94,149)( 97,130)( 98,153)(101,107)
        (102,132)(103,136)(105,111)(106,155)(109,115)(110,151)(113,119)(114,147)(117,124)(118,144)(121,125)(123,129)
        (128,141)(131,137)(133,154)(135,140)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 73)( 42, 48)( 43,100)( 46, 77)( 47,104)( 50, 56)( 51,112)( 52, 78)( 54, 60)
        ( 55,115)( 59, 80)( 62, 68)( 63,123)( 64, 88)( 66, 72)( 67,127)( 70, 76)( 71,128)( 74, 92)( 75,131)( 79,108)
        ( 82, 87)( 83,116)( 85, 91)( 86,140)( 89,119)( 90,143)( 93, 99)( 94,156)( 95,135)( 97,103)( 98,153)(101,107)
        (102,149)(105,111)(106,145)(109,114)(110,142)(113,118)(117,139)(120,126)(121,137)(122,147)(124,130)(125,133)
        (129,134)(132,138)(136,151)(141,146)(144,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 86,138)( 89,122)( 90,141)( 93, 99)( 94,150)( 95,134)( 97,103)( 98,153)(101,107)
        (102,147)(105,111)(106,143)(109,116)(110,140)(113,117)(115,121)(120,137)(123,129)(124,155)(125,145)(127,133)
        (128,152)(132,136)(135,149)(139,144)(142,148)(146,154)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,124)( 64, 97)( 66, 72)( 67,125)( 70, 76)( 71,128)( 74,101)( 75,133)( 80,117)
        ( 82, 88)( 83,134)( 84,118)( 86, 92)( 87,138)( 90, 96)( 91,139)( 94,100)( 95,142)( 98,120)( 99,146)(102,108)
        (103,122)(104,130)(106,112)(107,150)(110,116)(111,153)(114,119)(115,137)(121,127)(123,149)(126,131)(129,132)
        (135,141)(136,154)(140,145)(143,148)(144,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 55)( 52, 78)( 54, 60)
        ( 58, 81)( 59, 79)( 62, 68)( 63,124)( 64, 97)( 66, 72)( 67,125)( 70, 76)( 71,128)( 74,101)( 75,133)( 80,117)
        ( 82, 88)( 83,134)( 84,118)( 86, 92)( 87,138)( 90, 96)( 91,141)( 94,100)( 95,145)( 98,120)( 99,146)(102,108)
        (103,122)(104,130)(106,112)(107,150)(110,116)(111,153)(114,119)(115,137)(121,127)(123,149)(126,131)(129,132)
        (135,140)(136,154)(139,144)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 73)( 34, 56)
        ( 35, 76)( 38, 44)( 39, 78)( 40, 68)( 42, 48)( 43, 75)( 46, 53)( 50, 55)( 51, 54)( 57, 63)( 58, 88)( 59, 80)
        ( 61, 67)( 62, 92)( 65, 71)( 66, 96)( 69, 82)( 70,100)( 74, 79)( 77, 83)( 81, 84)( 85, 91)( 86,108)( 87,101)
        ( 89, 95)( 90,112)( 93, 99)( 94,116)( 97,103)( 98,120)(102,104)(105,111)(106,128)(107,121)(109,115)(110,132)
        (113,119)(114,136)(117,123)(118,140)(122,124)(125,131)(126,143)(127,141)(129,135)(130,147)(133,139)(134,151)
        (137,142)(138,146)(144,150)(145,152)(148,154)(149,156)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 76)( 40, 69)( 42, 48)( 43, 47)( 46, 73)( 50, 56)( 51,101)( 52, 74)( 54, 60)( 55,105)
        ( 58, 77)( 59,109)( 62, 68)( 63, 71)( 64, 93)( 67, 72)( 70, 97)( 75, 98)( 78, 84)( 79,120)( 80,113)( 82, 88)
        ( 83,124)( 86, 92)( 87,128)( 90, 96)( 91,132)( 94,100)( 95,136)( 99,104)(102,108)(103,137)(106,112)(107,140)
        (110,115)(111,144)(114,116)(117,123)(118,147)(119,145)(121,127)(122,151)(125,131)(126,156)(129,135)(130,153)
        (133,139)(134,149)(138,143)(141,146)(142,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 76)( 40, 69)( 42, 48)( 43, 47)( 46, 73)( 50, 56)( 51,101)( 52, 74)( 54, 60)( 55,105)
        ( 58, 77)( 59,109)( 62, 68)( 63, 71)( 64, 93)( 67, 72)( 70, 97)( 75, 98)( 78, 84)( 79,121)( 80,113)( 82, 88)
        ( 83,125)( 86, 92)( 87,128)( 90, 96)( 91,132)( 94,100)( 95,136)( 99,104)(102,108)(103,137)(106,112)(107,140)
        (110,116)(111,144)(114,117)(115,149)(118,124)(119,150)(120,146)(122,127)(123,154)(126,131)(129,135)(130,155)
        (133,139)(134,152)(138,143)(141,147)(142,153)(145,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39, 43)( 40, 72)( 42, 48)( 46, 76)( 47, 73)( 50, 56)( 51,108)( 52, 77)( 54, 60)( 55,112)
        ( 58, 80)( 59,116)( 62, 68)( 63,106)( 64, 96)( 66, 71)( 67,102)( 70, 75)( 74,103)( 78,104)( 79,100)( 81, 87)
        ( 82,125)( 83,120)( 85, 91)( 86,128)( 89, 95)( 90,132)( 93, 99)( 94,136)( 97,110)( 98,140)(101,107)(105,111)
        (109,115)(113,119)(114,141)(117,123)(118,144)(121,124)(122,147)(126,131)(127,151)(129,135)(130,156)(133,139)
        (134,153)(137,143)(138,149)(142,146)(145,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 84)( 28, 57)( 30, 36)( 31, 88)( 34, 61)
        ( 35, 92)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51,108)( 52, 78)( 54, 60)( 55,112)
        ( 58, 81)( 59,113)( 62, 68)( 63,124)( 64, 96)( 66, 72)( 67,127)( 70, 76)( 71,128)( 75,103)( 79,104)( 80,100)
        ( 82, 87)( 83,116)( 85, 91)( 86,132)( 89, 95)( 90,135)( 93, 99)( 94,139)( 97,120)( 98,143)(101,122)(102,129)
        (105,111)(106,144)(107,123)(109,115)(110,147)(114,119)(117,131)(118,148)(121,126)(125,130)(133,138)(134,151)
        (136,142)(137,156)(140,146)(141,153)(145,150)(149,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 69)( 23, 49)( 24, 45)( 26, 32)( 27, 85)( 28, 57)( 30, 36)( 31, 89)( 34, 61)
        ( 35, 93)( 38, 44)( 39, 43)( 40, 73)( 42, 48)( 46, 77)( 47, 74)( 50, 56)( 51, 67)( 52, 78)( 54, 60)( 55, 63)
        ( 58, 81)( 59, 98)( 62, 68)( 64, 97)( 66, 72)( 70, 76)( 71, 79)( 75,101)( 80,102)( 82, 88)( 83,111)( 84,103)
        ( 86, 92)( 87,115)( 90, 96)( 91,119)( 94,100)( 95,123)( 99,106)(104,107)(105,124)(108,114)(109,134)(110,127)
        (112,118)(113,138)(116,122)(117,142)(120,126)(121,146)(125,130)(128,131)(129,147)(132,137)(133,150)(135,141)
        (136,151)(139,145)(140,154)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 78)( 28, 56)( 30, 36)( 31, 82)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 62)( 40, 69)( 42, 47)( 43, 91)( 46, 70)( 49, 55)( 50, 98)( 51, 71)( 53, 59)( 54,102)
        ( 57, 74)( 58,106)( 61, 67)( 63, 90)( 66, 68)( 72, 94)( 73, 92)( 75, 81)( 76,117)( 77,110)( 79, 85)( 80,121)
        ( 83, 89)( 84,125)( 87, 93)( 88, 97)( 95,101)( 96,126)( 99,105)(100,129)(103,109)(104,133)(107,113)(108,137)
        (111,114)(112,141)(115,120)(116,145)(118,124)(119,150)(122,128)(123,153)(127,132)(130,136)(131,154)(134,140)
        (135,155)(138,144)(139,152)(142,148)(143,147)(146,149)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 37)( 19, 68)( 23, 48)( 24, 45)( 26, 32)( 27, 82)( 28, 56)( 30, 36)( 31, 83)( 34, 60)
        ( 35, 86)( 38, 44)( 39, 95)( 40, 73)( 42, 47)( 43, 98)( 46, 74)( 49, 55)( 50,106)( 51, 75)( 53, 59)( 54,110)
        ( 57, 78)( 58,114)( 61, 67)( 62,126)( 63, 90)( 65, 71)( 66,129)( 69, 72)( 70, 94)( 76,102)( 77, 99)( 79, 85)
        ( 80,141)( 81,118)( 84, 89)( 87, 93)( 88,142)( 91,122)( 92,145)( 96,101)( 97,130)(100,133)(103,109)(104,150)
        (105,134)(107,113)(108,153)(111,117)(112,140)(115,121)(116,120)(119,137)(123,128)(124,135)(125,149)(127,132)
        (131,136)(138,144)(139,154)(143,148)(146,152)(147,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 86)( 34, 60)
        ( 35, 87)( 38, 44)( 39, 95)( 40, 73)( 42, 48)( 43, 98)( 46, 74)( 47,102)( 50, 55)( 51,114)( 52, 75)( 54, 59)
        ( 57, 78)( 58,115)( 61, 67)( 62,126)( 63, 90)( 65, 71)( 66,130)( 69, 72)( 70, 94)( 76,110)( 77,106)( 79, 85)
        ( 80,142)( 81,118)( 83, 89)( 84,146)( 88, 93)( 91,122)( 92,147)( 96,101)( 97,131)( 99,105)(100,150)(103,109)
        (104,153)(107,134)(108,141)(111,117)(112,136)(113,135)(116,121)(119,138)(120,137)(123,129)(124,155)(125,144)
        (127,133)(128,152)(132,149)(139,145)(140,154)(143,148)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)( 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 96)( 40, 74)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 56)( 51,115)( 52, 76)( 54, 60)
        ( 55,119)( 58, 79)( 59,123)( 62, 68)( 63,134)( 64, 91)( 66, 72)( 67,135)( 70, 73)( 71, 95)( 77,111)( 78,107)
        ( 80, 86)( 81,146)( 82,126)( 85, 90)( 88, 94)( 89,147)( 92,130)( 93,150)( 97,102)( 98,136)(100,106)(101,132)
        (104,110)(105,154)(108,138)(109,145)(112,118)(113,117)(114,139)(116,122)(120,125)(121,140)(124,129)(127,142)
        (128,141)(131,137)(133,153)(143,149)(144,155)(148,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), 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, 88)( 38, 44)( 39, 96)( 40, 74)( 42, 48)( 43, 99)( 46, 75)( 47,103)( 50, 56)( 51,115)( 52, 76)( 54, 60)
        ( 55,119)( 58, 79)( 59,123)( 62, 68)( 63,134)( 64, 91)( 66, 72)( 67,135)( 70, 73)( 71, 95)( 77,111)( 78,107)
        ( 80, 86)( 81,146)( 82,126)( 84, 90)( 85,149)( 89, 94)( 92,130)( 93,150)( 97,102)( 98,136)(100,106)(101,132)
        (104,110)(105,154)(108,138)(109,145)(112,118)(113,117)(114,139)(116,122)(120,125)(121,140)(124,129)(127,142)
        (128,141)(131,137)(133,153)(143,148)(144,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 90)( 38, 44)( 39, 99)( 40, 74)( 42, 48)( 43,102)( 46, 75)( 47,106)( 50, 56)( 51,118)( 52, 76)( 54, 60)
        ( 55,121)( 58, 79)( 59,125)( 62, 68)( 63,137)( 64, 94)( 66, 72)( 67,141)( 70, 73)( 71, 98)( 77,114)( 78,110)
        ( 80, 86)( 81, 96)( 82,129)( 84, 89)( 85, 92)( 88, 93)( 91, 97)( 95,133)(100,105)(101,142)(103,109)(104,143)
        (107,113)(108,139)(111,145)(112,135)(115,120)(116,153)(117,146)(119,124)(122,128)(123,154)(126,132)(127,152)
        (130,136)(131,148)(134,140)(138,144)(147,149)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)
        ( 55,119)( 58, 79)( 59,122)( 62, 68)( 63,134)( 64, 95)( 66, 72)( 67,138)( 70, 73)( 71, 99)( 77,114)( 78,110)
        ( 80, 86)( 81, 93)( 82,126)( 84, 90)( 85, 89)( 88, 94)( 92, 98)( 96,130)( 97,127)(101,106)(102,139)(104,109)
        (105,151)(108,113)(111,142)(112,152)(115,121)(116,147)(117,143)(120,125)(123,129)(124,148)(128,149)(131,137)
        (132,144)(133,146)(135,141)(136,155)(140,150)(145,154)(153,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 45)( 16, 33)( 18, 37)( 19, 55)( 23, 43)( 24, 40)( 26, 32)( 27, 62)( 28, 51)( 30, 36)( 31, 66)( 34, 49)
        ( 35, 70)( 38, 42)( 41, 56)( 44, 50)( 46, 57)( 48, 54)( 52, 58)( 53, 71)( 59, 65)( 60, 82)( 61, 74)( 63, 69)
        ( 64, 86)( 67, 73)( 68, 90)( 72, 77)( 75, 78)( 76, 91)( 79, 85)( 80,102)( 81, 94)( 83, 89)( 84,106)( 87, 93)
        ( 88,110)( 92, 97)( 95, 98)( 96,111)( 99,105)(100,122)(101,114)(103,109)(104,126)(107,113)(108,130)(112,117)
        (115,118)(116,131)(119,125)(120,142)(121,134)(123,129)(124,145)(127,133)(128,149)(132,137)(135,138)(136,150)
        (139,144)(140,154)(141,153)(143,148)(146,152)(147,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 58)( 16, 33)( 18, 37)( 19, 62)( 23, 46)( 24, 43)( 26, 32)( 27, 69)( 28, 54)( 30, 36)( 31, 73)( 34, 48)
        ( 35, 77)( 38, 42)( 40, 45)( 41, 63)( 44, 60)( 47, 53)( 49, 61)( 51, 57)( 52, 78)( 55, 65)( 56, 81)( 59, 64)
        ( 66, 72)( 67, 93)( 68, 85)( 70, 76)( 71, 97)( 74, 80)( 75,101)( 79, 84)( 82, 88)( 83,102)( 86, 89)( 87,105)
        ( 90, 96)( 91,117)( 92,109)( 94,100)( 95,121)( 98,104)( 99,125)(103,108)(106,112)(107,126)(110,113)(111,129)
        (114,120)(115,138)(116,133)(118,124)(119,141)(122,128)(123,145)(127,132)(130,136)(131,146)(134,137)(135,149)
        (139,144)(140,153)(142,148)(143,154)(147,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 50)( 12, 22)( 14, 20)
        ( 15, 62)( 16, 33)( 18, 37)( 19, 66)( 23, 46)( 24, 43)( 26, 32)( 27, 77)( 28, 54)( 30, 36)( 31, 81)( 34, 58)
        ( 35, 85)( 38, 42)( 40, 45)( 41, 67)( 44, 70)( 47, 53)( 48, 64)( 49, 71)( 51, 57)( 52, 60)( 55, 73)( 56, 90)
        ( 59, 65)( 61, 89)( 63, 69)( 68, 72)( 74, 80)( 75,101)( 76, 93)( 78, 84)( 79,105)( 82, 88)( 83,109)( 86, 92)
        ( 87,113)( 91, 96)( 94, 97)( 95,114)( 98,104)( 99,125)(100,117)(102,108)(103,129)(106,112)(107,133)(110,116)
        (111,137)(115,120)(118,121)(119,138)(122,128)(123,146)(124,141)(126,132)(127,147)(130,136)(131,149)(134,140)
        (135,153)(139,144)(142,145)(143,154)(148,152)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45)( 46, 47, 48, 49)
        ( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)( 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 49,102)( 50, 72)( 52, 58)( 53,106)( 56, 75)
        ( 57,110)( 60, 66)( 61, 99)( 62, 91)( 64, 70)( 65,100)( 69, 95)( 73, 92)( 74, 98)( 76, 82)( 77,122)( 78,114)
        ( 80, 86)( 81,126)( 84, 90)( 85,130)( 88, 94)( 89,134)( 93,105)( 97,101)(103,109)(104,135)(107,113)(108,138)
        (111,117)(112,142)(115,118)(116,145)(119,125)(120,124)(121,149)(123,129)(127,133)(128,150)(131,137)(132,153)
        (136,141)(139,144)(140,154)(143,148)(146,152)(147,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 76,126)( 77,115)( 79, 85)
        ( 80,130)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91,100)( 92,142)( 96,101)( 99,118)(103,109)(104,147)(105,119)
        (107,113)(108,149)(111,117)(112,153)(116,122)(120,146)(121,143)(123,129)(124,136)(125,154)(127,133)(128,132)
        (131,137)(135,141)(139,145)(140,155)(144,151)(148,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 47)( 24, 43)( 26, 32)( 27, 79)( 28, 55)( 30, 36)( 31, 83)( 34, 59)
        ( 35, 87)( 38, 42)( 40, 46)( 41, 68)( 44, 72)( 45, 71)( 48, 54)( 49, 65)( 50, 73)( 52, 58)( 53, 61)( 56, 75)
        ( 57, 92)( 60, 66)( 62, 91)( 64, 70)( 69, 74)( 76, 82)( 77,103)( 78, 95)( 80, 86)( 81,107)( 84, 90)( 85,111)
        ( 88, 94)( 89,115)( 93, 98)( 96, 99)( 97,116)(100,106)(101,127)(102,119)(104,110)(105,131)(108,114)(109,135)
        (112,118)(113,139)(117,122)(120,123)(121,140)(124,130)(125,148)(126,143)(128,134)(129,149)(132,138)(133,151)
        (136,142)(137,154)(141,146)(144,147)(145,155)(150,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  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)( 38, 43)( 39, 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)( 96,126)( 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)(124,147)(125,146)(127,133)(128,151)(131,137)(132,154)
        (136,141)(139,145)(140,155)(143,149)(144,153)(148,150)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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)( 50,103)( 51, 71)( 53, 59)( 54,106)
        ( 57, 74)( 58,110)( 61, 67)( 62, 97)( 63, 90)( 65, 68)( 72,102)( 73, 98)( 75, 81)( 76,126)( 77,114)( 79, 85)
        ( 80,130)( 83, 89)( 84,134)( 87, 93)( 88,138)( 91,100)( 92,142)( 96,101)( 99,118)(104,109)(105,119)(107,113)
        (108,147)(111,117)(112,149)(115,122)(116,153)(120,146)(121,143)(123,129)(124,136)(125,154)(127,133)(128,132)
        (131,137)(135,141)(139,145)(140,155)(144,151)(148,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 62)( 40, 66)( 42, 47)( 43, 91)( 46, 70)( 49, 55)( 50, 98)( 51, 71)( 53, 59)( 54,102)
        ( 57, 74)( 58,106)( 61, 67)( 63, 90)( 65, 68)( 72, 94)( 73, 92)( 75, 81)( 76,118)( 77,110)( 79, 85)( 80,122)
        ( 83, 89)( 84,126)( 87, 93)( 88, 97)( 95,101)( 96,127)( 99,105)(100,130)(103,109)(104,134)(107,113)(108,138)
        (111,114)(112,142)(115,121)(116,146)(117,145)(119,125)(120,150)(123,129)(124,153)(128,133)(131,137)(132,154)
        (135,141)(136,155)(139,144)(140,152)(143,148)(147,149)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 78)( 28, 57)( 30, 36)( 31, 82)( 34, 61)
        ( 35, 86)( 38, 44)( 39, 94)( 40, 67)( 42, 48)( 43, 98)( 46, 71)( 47,101)( 50, 56)( 51,109)( 52, 72)( 54, 60)
        ( 55,113)( 58, 74)( 59,117)( 62, 68)( 63, 97)( 64, 90)( 66, 69)( 73,105)( 75, 81)( 76,129)( 77,118)( 79, 85)
        ( 80,133)( 83, 89)( 84,137)( 87, 93)( 88,141)( 91,121)( 92,145)( 95,100)( 96,122)( 99,104)(102,108)(103,123)
        (106,112)(107,150)(110,116)(111,153)(114,120)(115,154)(119,125)(124,149)(126,132)(127,147)(128,155)(130,136)
        (131,143)(134,140)(135,139)(138,144)(142,148)(146,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)( 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 84,142)( 87, 93)( 88,145)( 91,122)( 92,149)( 95,101)( 96,123)( 99,105)(100,124)(103,109)
        (104,154)(107,126)(108,133)(111,117)(112,128)(113,127)(116,121)(119,130)(120,129)(125,153)(131,137)(132,155)
        (135,141)(136,151)(139,144)(140,147)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69)( 70, 71, 72, 73)
        ( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)( 94, 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 37)( 19, 70)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 57)( 30, 36)( 31, 83)( 34, 61)
        ( 35, 87)( 38, 44)( 39, 74)( 40, 67)( 42, 48)( 43, 47)( 46, 71)( 50, 56)( 51, 92)( 52, 72)( 54, 60)( 55, 95)
        ( 58, 75)( 59, 99)( 62, 68)( 63, 73)( 64, 91)( 66, 69)( 76, 82)( 77,111)( 78,103)( 80, 86)( 81,115)( 84, 90)
        ( 85,119)( 88, 94)( 89,123)( 93, 98)( 96,102)( 97,124)(100,106)(101,127)(104,107)(105,131)(108,114)(109,142)
        (110,135)(112,118)(113,143)(116,122)(117,146)(120,126)(121,150)(125,130)(128,134)(129,151)(132,137)(133,154)
        (136,138)(139,145)(140,148)(141,155)(144,149)(147,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 96)( 50, 56)( 51,104)( 52, 78)( 54, 60)( 55,108)
        ( 58, 80)( 59,112)( 62, 68)( 63, 81)( 66, 72)( 67,120)( 70, 76)( 71,124)( 74, 84)( 75,125)( 79,100)( 82,123)
        ( 83,116)( 85, 91)( 86,140)( 87,128)( 89, 95)( 90,144)( 93, 99)( 94,145)( 97,103)( 98,142)(101,107)(102,138)
        (105,111)(106,147)(109,115)(110,151)(113,119)(114,156)(117,132)(118,153)(121,127)(122,133)(126,131)(129,136)
        (130,134)(135,149)(137,143)(139,150)(141,146)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 33)( 18, 37)( 19, 64)( 23, 45)( 24, 42)( 26, 32)( 27, 47)( 28, 55)( 30, 36)( 31, 74)( 34, 56)
        ( 35, 76)( 38, 44)( 39, 78)( 40, 68)( 43, 72)( 46, 52)( 48, 73)( 50, 54)( 51, 53)( 57, 63)( 58, 88)( 59, 80)
        ( 61, 67)( 62, 92)( 65, 71)( 66, 96)( 69, 82)( 70,100)( 75, 79)( 77, 83)( 81, 84)( 85, 91)( 86,108)( 87,101)
        ( 89, 95)( 90,112)( 93, 99)( 94,116)( 97,103)( 98,120)(102,104)(105,111)(106,128)(107,121)(109,115)(110,132)
        (113,119)(114,136)(117,123)(118,139)(122,124)(125,131)(126,147)(127,140)(129,135)(130,151)(133,138)(134,146)
        (137,142)(141,143)(144,150)(145,152)(148,154)(149,156)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 63)( 16, 33)( 18, 37)( 19, 67)( 23, 49)( 24, 45)( 26, 32)( 27, 79)( 28, 58)( 30, 36)( 31, 82)( 34, 59)
        ( 35, 86)( 38, 44)( 39, 97)( 40, 71)( 42, 48)( 43,101)( 46, 75)( 47,105)( 50, 56)( 51,113)( 52, 76)( 54, 57)
        ( 55, 78)( 60, 66)( 61,121)( 62, 90)( 64, 70)( 65,125)( 68, 74)( 69,129)( 72, 94)( 73,133)( 77,109)( 80, 85)
        ( 81,114)( 83, 89)( 84,142)( 87, 93)( 88,145)( 91,117)( 92,149)( 95,100)( 96,137)( 98,104)( 99,155)(102,108)
        (103,151)(106,112)(107,147)(110,116)(111,144)(115,141)(118,124)(119,139)(120,153)(122,128)(123,135)(126,132)
        (127,131)(130,136)(134,140)(138,154)(143,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 26)(  4,  9)(  6, 20)(  7, 37)(  8, 17)( 10, 24)( 11, 49)( 12, 21)( 14, 19)
        ( 15, 57)( 16, 30)( 18, 34)( 22, 45)( 23, 41)( 25, 29)( 27, 33)( 28, 50)( 31, 53)( 32, 66)( 35, 40)( 36, 58)
        ( 38, 44)( 39, 74)( 42, 61)( 43, 77)( 46, 52)( 47, 89)( 48, 62)( 51, 65)( 54, 60)( 55, 97)( 56, 69)( 59, 73)
        ( 63, 85)( 64, 81)( 67, 72)( 68, 90)( 70, 93)( 71,106)( 75, 80)( 76, 98)( 78, 84)( 79,114)( 82,101)( 83,117)
        ( 86, 92)( 87,129)( 88,102)( 91,105)( 94,100)( 95,137)( 96,109)( 99,113)(103,125)(104,121)(107,112)(108,130)
        (110,133)(111,146)(115,120)(116,138)(118,124)(119,154)(122,141)(123,155)(126,132)(127,150)(128,142)(131,145)
        (134,140)(135,143)(136,149)(139,153)(144,156)(147,152)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 31)( 18, 35)( 19, 63)( 23, 47)( 24, 43)( 26, 30)( 28, 34)( 29, 52)( 32, 55)( 33, 76)( 36, 42)
        ( 37, 87)( 38, 67)( 40, 46)( 41, 91)( 44, 71)( 45, 95)( 48, 54)( 49,107)( 50, 72)( 53, 75)( 56, 62)( 57,115)
        ( 58, 79)( 60, 66)( 61,119)( 64, 70)( 65,120)( 68, 83)( 69,117)( 73,103)( 74, 99)( 77, 82)( 78,108)( 80,111)
        ( 81,126)( 84, 90)( 85,133)( 86,113)( 88, 94)( 89,137)( 92, 98)( 93,141)( 96,102)( 97,145)(100,122)(101,149)
        (104,110)(105,154)(106,123)(109,125)(112,118)(114,129)(116,121)(124,153)(127,132)(128,155)(130,136)(131,151)
        (134,140)(135,147)(138,144)(139,143)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 54)( 22, 47)( 23, 44)( 25, 31)( 26, 65)( 27, 49)( 29, 35)( 30, 69)( 33, 53)( 34, 73)
        ( 37, 43)( 38, 85)( 39, 57)( 41, 46)( 42, 89)( 45, 61)( 48, 51)( 50, 62)( 55, 60)( 56, 77)( 58, 81)( 59, 94)
        ( 63, 68)( 64, 90)( 66, 72)( 67,102)( 70, 76)( 71,105)( 74, 80)( 75,109)( 78, 93)( 79,113)( 82, 88)( 83,122)
        ( 84, 97)( 86, 92)( 87,125)( 91,101)( 95,100)( 96,117)( 98,121)( 99,130)(103,108)(104,126)(106,112)(107,138)
        (110,116)(111,141)(114,120)(115,145)(118,129)(119,146)(123,128)(124,133)(127,137)(131,136)(132,149)(134,140)
        (135,155)(139,144)(142,148)(143,156)(147,152)(150,154)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 49)( 12, 22)( 14, 20)
        ( 15, 61)( 16, 33)( 18, 37)( 19, 65)( 23, 46)( 24, 45)( 26, 32)( 27, 77)( 28, 53)( 30, 36)( 31, 81)( 34, 57)
        ( 35, 85)( 38, 44)( 39, 97)( 40, 69)( 42, 48)( 43,101)( 47, 52)( 50, 56)( 51,102)( 54, 73)( 55,105)( 58, 64)
        ( 59,117)( 60, 89)( 62, 68)( 63,121)( 66, 72)( 67,126)( 70, 93)( 71,123)( 74, 80)( 75,131)( 76,109)( 78, 84)
        ( 79,132)( 82, 88)( 83,133)( 86, 92)( 87,129)( 90,113)( 91,135)( 94,100)( 95,142)( 96,119)( 98,104)( 99,146)
        (103,108)(106,112)(107,147)(110,127)(111,150)(114,120)(115,145)(116,139)(118,124)(122,125)(128,134)(130,138)
        (136,141)(137,151)(140,154)(143,149)(144,155)(148,153)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 22)( 12, 21)( 14, 19)
        ( 15, 51)( 16, 32)( 18, 36)( 23, 44)( 25, 31)( 26, 55)( 27, 45)( 29, 35)( 30, 59)( 33, 47)( 34, 63)( 37, 43)
        ( 38, 75)( 39, 52)( 41, 46)( 42, 58)( 48, 54)( 49, 83)( 50, 67)( 53, 71)( 56, 62)( 57, 76)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 68, 79)( 69, 95)( 72, 78)( 73,107)( 74, 84)( 77, 90)( 80, 86)( 81,115)( 82, 99)( 85,103)
        ( 88, 94)( 89,108)( 92, 98)( 93,119)( 96,102)( 97,123)(100,111)(101,127)(104,110)(105,139)(106,116)(109,122)
        (112,118)(113,138)(114,131)(117,135)(120,126)(121,140)(124,130)(125,147)(128,134)(129,151)(132,143)(133,152)
        (136,142)(137,144)(141,150)(145,149)(146,156)(148,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 20)(  7, 40)(  8, 17)( 10, 24)( 11, 22)( 12, 21)( 14, 19)
        ( 15, 51)( 16, 32)( 18, 36)( 23, 44)( 25, 31)( 26, 55)( 27, 45)( 29, 35)( 30, 59)( 33, 47)( 34, 63)( 37, 43)
        ( 38, 75)( 39, 52)( 41, 46)( 42, 58)( 48, 54)( 49, 83)( 50, 67)( 53, 71)( 56, 62)( 57, 76)( 60, 66)( 61, 87)
        ( 64, 70)( 65, 91)( 68, 79)( 69, 95)( 72, 78)( 73,107)( 74, 84)( 77, 90)( 80, 86)( 81,115)( 82, 99)( 85,103)
        ( 88, 94)( 89,108)( 92, 98)( 93,119)( 96,102)( 97,123)(100,111)(101,127)(104,110)(105,139)(106,116)(109,122)
        (112,118)(113,138)(114,131)(117,135)(120,126)(121,140)(124,130)(125,147)(128,134)(129,151)(132,143)(133,156)
        (136,142)(137,144)(141,150)(145,149)(146,153)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 54)( 16, 32)( 18, 36)( 22, 42)( 23, 38)( 25, 31)( 26, 61)( 27, 50)( 29, 35)( 30, 65)( 33, 44)( 34, 69)
        ( 37, 40)( 39, 55)( 43, 49)( 45, 56)( 47, 53)( 48, 70)( 51, 57)( 52, 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)(115,141)(119,124)(122,128)(123,142)(126,129)(127,145)(130,136)(131,150)(132,149)(134,140)
        (135,154)(138,144)(139,155)(143,148)(146,152)(147,156)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 45)( 16, 33)( 18, 37)( 19, 55)( 23, 43)( 24, 39)( 26, 32)( 27, 62)( 28, 51)( 30, 36)( 31, 66)( 34, 49)
        ( 35, 70)( 38, 41)( 40, 56)( 44, 50)( 46, 57)( 48, 54)( 52, 58)( 53, 71)( 59, 65)( 60, 82)( 61, 74)( 63, 69)
        ( 64, 86)( 67, 73)( 68, 90)( 72, 77)( 75, 78)( 76, 91)( 79, 85)( 80,102)( 81, 94)( 83, 89)( 84,106)( 87, 93)
        ( 88,110)( 92, 97)( 95, 98)( 96,111)( 99,105)(100,122)(101,114)(103,109)(104,126)(107,113)(108,130)(112,117)
        (115,118)(116,131)(119,125)(120,142)(121,134)(123,129)(124,146)(127,133)(128,150)(132,137)(135,138)(136,151)
        (139,145)(140,144)(141,154)(143,149)(147,153)(148,155)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 33)( 18, 37)( 19, 63)( 23, 43)( 24, 39)( 26, 32)( 27, 75)( 28, 51)( 30, 36)( 31, 79)( 34, 55)
        ( 35, 83)( 38, 41)( 40, 67)( 44, 50)( 45, 95)( 46, 68)( 48, 54)( 49, 99)( 52, 71)( 53,103)( 56, 62)( 57,110)
        ( 58, 87)( 60, 66)( 61,114)( 64, 70)( 65,118)( 69, 91)( 72, 78)( 73,122)( 74,104)( 76, 82)( 77,126)( 80, 86)
        ( 81,130)( 84, 90)( 85,134)( 88,106)( 89,138)( 92, 98)( 93,143)( 94,119)( 96,102)( 97,146)(100,105)(101,125)
        (107,113)(108,120)(109,142)(111,117)(112,116)(115,121)(123,129)(124,147)(127,133)(128,150)(131,137)(132,154)
        (135,141)(136,155)(139,145)(140,152)(144,149)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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)( 18,155)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,156)( 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)( 95,129)( 96,121)( 98,104)( 99,133)(102,108)(103,137)(107,112)
        (110,116)(111,138)(114,120)(115,141)(118,124)(119,144)(122,125)(123,148)(126,132)(127,154)(128,153)(130,136)
        (131,150)(134,140)(135,146)(139,143)(142,147)(145,151)(149,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), 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)( 18,155)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,156)( 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)( 95,129)( 96,121)( 98,104)( 99,133)(102,108)(103,137)(106,112)
        (107,140)(111,116)(114,120)(115,141)(118,124)(119,144)(122,125)(123,148)(126,132)(127,154)(128,153)(130,136)
        (131,150)(134,139)(135,146)(138,143)(142,147)(145,151)(149,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), 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)( 18,155)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,156)( 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)( 99,139)(100,132)(102,108)(103,143)
        (106,112)(107,147)(110,116)(111,151)(115,120)(118,123)(119,152)(122,127)(125,131)(126,153)(129,135)(130,149)
        (133,136)(134,145)(137,142)(138,141)(140,146)(144,150)(148,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 18,155)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 65)( 28, 53)( 30, 36)( 31, 69)( 34, 57)
        ( 35, 73)( 38,156)( 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)( 99,139)(100,132)(102,108)(103,143)
        (106,112)(107,147)(110,115)(111,151)(114,119)(117,123)(118,152)(122,127)(125,131)(126,153)(129,135)(130,149)
        (133,136)(134,145)(137,142)(138,141)(140,146)(144,150)(148,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 25)( 11, 44)( 12, 22)( 14, 20)
        ( 15, 42)( 16, 33)( 18, 38)( 19, 37)( 23, 34)( 24, 41)( 26, 32)( 27, 56)( 28, 48)( 30, 36)( 31, 60)( 35, 47)
        ( 39, 43)( 45, 51)( 46, 61)( 49, 52)( 50, 64)( 53, 59)( 54, 76)( 55, 68)( 57, 63)( 58, 80)( 62, 67)( 65, 71)
        ( 66, 81)( 69, 72)( 70, 84)( 73, 79)( 74, 96)( 75, 88)( 77, 83)( 78,100)( 82, 87)( 85, 91)( 86,101)( 89, 92)
        ( 90,104)( 93, 99)( 94,116)( 95,108)( 97,103)( 98,120)(102,107)(105,111)(106,121)(109,112)(110,124)(113,119)
        (114,135)(115,128)(117,123)(118,139)(122,127)(125,131)(126,140)(129,132)(130,143)(133,138)(134,147)(136,142)
        (137,155)(141,146)(144,150)(145,156)(148,154)(149,152)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 33)( 19, 32)( 23, 40)( 25, 31)( 26, 64)( 27, 48)( 30, 52)( 34, 39)( 35, 57)( 37, 43)
        ( 38, 69)( 41, 47)( 42, 72)( 45, 51)( 46, 76)( 49, 60)( 50, 80)( 53, 59)( 54, 92)( 55, 65)( 58, 68)( 61, 67)
        ( 62,100)( 63, 84)( 66, 88)( 70, 75)( 71, 93)( 73, 79)( 74,105)( 77, 83)( 78,108)( 81, 87)( 82,112)( 85, 96)
        ( 86,116)( 89, 95)( 90,128)( 91,101)( 94,104)( 97,103)( 98,136)( 99,120)(102,124)(106,111)(107,129)(109,115)
        (110,140)(113,119)(114,143)(117,123)(118,147)(121,132)(122,152)(125,131)(126,153)(127,137)(130,139)(133,138)
        (134,156)(135,149)(141,146)(142,154)(144,150)(145,155)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 60)( 16, 32)( 18, 37)( 19, 36)( 23, 44)( 25, 31)( 26, 67)( 27, 52)( 29, 35)( 30, 71)( 33, 56)( 34, 75)
        ( 38, 43)( 39, 61)( 41, 47)( 42, 58)( 45, 51)( 46, 80)( 49, 55)( 50, 83)( 53, 63)( 54, 87)( 57, 62)( 59, 79)
        ( 64, 70)( 65, 99)( 66, 91)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 90)( 85,112)
        ( 88, 94)( 89,115)( 92, 95)( 93,119)( 96,102)( 97,131)( 98,123)(100,106)(101,132)(104,110)(105,135)(108,114)
        (109,139)(113,118)(116,122)(117,140)(120,126)(121,143)(124,127)(125,147)(128,134)(129,154)(130,152)(133,138)
        (136,142)(137,155)(141,146)(144,150)(145,156)(148,151)(149,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 40)(  8, 17)( 10, 24)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 32)( 18, 37)( 19, 36)( 23, 43)( 25, 31)( 26, 67)( 27, 51)( 29, 35)( 30, 71)( 33, 55)( 34, 75)
        ( 38, 42)( 39, 60)( 41, 46)( 44, 50)( 45, 61)( 48, 54)( 49, 57)( 52, 63)( 53, 80)( 56, 62)( 58, 79)( 64, 70)
        ( 65, 91)( 66, 83)( 68, 74)( 69, 95)( 72, 78)( 73, 99)( 76, 82)( 77,103)( 81, 86)( 84, 87)( 85,104)( 88, 94)
        ( 89,115)( 90,107)( 92, 98)( 93,119)( 96,102)( 97,123)(100,106)(101,127)(105,110)(108,111)(109,128)(112,118)
        (113,136)(114,131)(116,122)(117,139)(120,126)(121,143)(124,130)(125,147)(129,134)(132,135)(133,148)(137,142)
        (138,151)(140,146)(141,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 87)( 49, 55)( 50, 91)( 53, 64)( 54, 95)( 57, 63)( 58, 89)
        ( 59, 80)( 62, 84)( 65, 71)( 66,107)( 67, 99)( 69, 75)( 70,111)( 73, 79)( 74,115)( 77, 83)( 78,119)( 81, 93)
        ( 82,123)( 86, 90)( 88, 94)( 92, 98)( 96,102)( 97,124)(100,103)(101,127)(104,110)(105,137)(106,131)(108,114)
        (109,141)(112,118)(113,142)(116,122)(117,145)(120,126)(121,149)(125,130)(128,134)(129,150)(132,135)(133,153)
        (136,140)(138,144)(139,154)(143,148)(146,152)(147,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 37)( 18, 36)( 22, 48)( 23, 44)( 25, 31)( 26, 67)( 27, 49)( 29, 35)( 30, 71)( 33, 52)( 34, 75)
        ( 38, 43)( 39, 57)( 41, 47)( 42, 54)( 45, 59)( 46, 80)( 50, 63)( 51, 60)( 53, 58)( 55, 79)( 61, 87)( 62, 83)
        ( 64, 70)( 65, 99)( 66, 88)( 68, 74)( 69,103)( 72, 78)( 73,107)( 76, 82)( 77,111)( 81, 86)( 84, 91)( 85,112)
        ( 89, 95)( 90, 92)( 93,119)( 94,115)( 96,102)( 97,131)( 98,120)(100,106)(101,132)(104,110)(105,135)(108,114)
        (109,139)(113,118)(116,123)(117,140)(121,127)(122,124)(125,147)(126,143)(128,134)(129,153)(130,148)(133,138)
        (136,142)(137,154)(141,146)(144,150)(145,155)(149,151)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 34)( 12, 22)( 14, 20)
        ( 15, 23)( 16, 33)( 18, 38)( 19, 37)( 24, 40)( 26, 32)( 27, 49)( 28, 41)( 30, 36)( 31, 53)( 35, 44)( 42, 45)
        ( 43, 54)( 46, 52)( 47, 65)( 48, 57)( 50, 56)( 51, 69)( 55, 60)( 58, 61)( 59, 70)( 62, 68)( 63, 81)( 64, 73)
        ( 66, 72)( 67, 85)( 71, 76)( 74, 77)( 75, 86)( 78, 84)( 79, 97)( 80, 89)( 82, 88)( 83,101)( 87, 92)( 90, 93)
        ( 91,102)( 94,100)( 95,113)( 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)(143,152)(145,151)(146,156)(150,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 73)( 28, 57)( 30, 36)( 31, 77)( 34, 61)
        ( 35, 81)( 39, 44)( 40, 66)( 42, 48)( 43, 90)( 46, 52)( 47, 92)( 50, 56)( 51, 96)( 54, 60)( 55,100)( 58, 69)
        ( 59,104)( 62, 68)( 63, 94)( 64, 85)( 67, 89)( 70, 76)( 71,116)( 72,108)( 74, 80)( 75,120)( 78, 84)( 79,124)
        ( 82, 88)( 83,128)( 86, 98)( 87,132)( 91, 95)( 93, 99)( 97,103)(101,107)(102,133)(105,111)(106,136)(109,112)
        (110,140)(113,119)(114,148)(115,141)(117,123)(118,153)(121,127)(122,150)(125,131)(126,146)(129,135)(130,154)
        (134,139)(137,143)(138,155)(142,144)(145,151)(147,156)(149,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149,150,151)(152,153)(154,155,156) ), 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, 37)( 19, 36)( 23, 48)( 24, 44)( 26, 31)( 27, 56)( 29, 35)( 30, 73)( 33, 60)( 34, 76)
        ( 38, 43)( 39, 65)( 41, 47)( 42, 85)( 45, 68)( 46, 88)( 49, 55)( 50, 99)( 51, 69)( 53, 59)( 54,103)( 57, 72)
        ( 58,107)( 61, 67)( 62,115)( 63, 80)( 66, 84)( 70, 95)( 71, 92)( 74, 79)( 75,108)( 77, 83)( 78,124)( 81,111)
        ( 82,127)( 86, 91)( 87,116)( 89, 94)( 90,136)( 93,119)( 96,102)( 97,139)( 98,120)(100,106)(101,143)(104,110)
        (105,147)(109,123)(112,118)(113,138)(114,131)(117,135)(121,132)(122,137)(125,130)(126,148)(128,134)(129,152)
        (133,142)(140,146)(141,153)(144,150)(145,156)(149,151)(154,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 44)( 26, 32)( 27, 72)( 28, 56)( 30, 36)( 31, 76)( 34, 60)
        ( 35, 80)( 39, 43)( 40, 65)( 42, 47)( 45, 62)( 46, 66)( 49, 55)( 50, 81)( 51, 63)( 53, 59)( 54, 84)( 57, 68)
        ( 58, 88)( 61, 67)( 69, 75)( 70,100)( 71, 92)( 73, 79)( 74,104)( 77, 83)( 78,108)( 82, 87)( 85, 91)( 86,109)
        ( 89, 95)( 90,112)( 93, 96)( 94,116)( 97,103)( 98,128)( 99,120)(101,107)(102,132)(105,111)(106,136)(110,115)
        (113,119)(114,137)(117,123)(118,140)(121,124)(122,144)(125,131)(126,151)(127,149)(129,135)(130,152)(133,139)
        (134,154)(138,143)(141,147)(142,155)(145,148)(146,150)(153,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 62)( 46, 67)( 49, 55)( 50, 87)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 63, 70)( 69, 84)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 85, 90)
        ( 88, 94)( 89,116)( 92, 98)( 93,119)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,139)(106,131)(108,114)
        (109,140)(112,118)(113,143)(117,122)(120,126)(121,144)(124,130)(125,147)(128,134)(129,151)(132,135)(133,152)
        (136,142)(137,149)(138,156)(141,146)(145,150)(148,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 62)( 46, 67)( 49, 55)( 50, 87)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 63, 70)( 69, 84)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 85, 90)
        ( 88, 94)( 89,116)( 92, 98)( 93,119)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,137)(106,131)(108,114)
        (109,141)(112,118)(113,145)(117,122)(120,126)(121,146)(124,130)(125,149)(128,134)(129,153)(132,135)(133,154)
        (136,140)(138,144)(139,155)(142,148)(143,151)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 62)( 46, 67)( 49, 55)( 50, 87)( 51, 68)( 53, 59)( 54, 91)( 57, 71)
        ( 58, 95)( 61, 66)( 63, 70)( 69, 84)( 72, 78)( 73,107)( 74, 99)( 76, 82)( 77,111)( 80, 86)( 81,115)( 85, 90)
        ( 88, 94)( 89,116)( 92, 98)( 93,119)( 96,102)( 97,123)(100,103)(101,127)(104,110)(105,139)(106,131)(108,114)
        (109,140)(112,118)(113,143)(117,122)(120,126)(121,144)(124,130)(125,147)(128,134)(129,151)(132,135)(133,156)
        (136,142)(137,149)(138,153)(141,146)(145,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 92)( 46, 68)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 71)
        ( 58,103)( 61, 67)( 62, 97)( 63, 87)( 66, 91)( 70, 93)( 72, 78)( 73,115)( 74,107)( 76, 82)( 77,119)( 80, 86)
        ( 81,123)( 84, 90)( 85,127)( 88,101)( 89,131)( 94, 98)( 96,102)(100,106)(104,110)(105,132)(108,111)(109,135)
        (112,118)(113,147)(114,139)(116,122)(117,148)(120,126)(121,149)(124,130)(125,145)(128,134)(129,151)(133,138)
        (136,142)(137,152)(140,143)(141,156)(144,150)(146,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 52)( 12, 22)( 14, 20)
        ( 15, 64)( 16, 33)( 18, 38)( 19, 37)( 23, 48)( 24, 45)( 26, 32)( 27, 75)( 28, 56)( 30, 36)( 31, 79)( 34, 60)
        ( 35, 83)( 39, 44)( 40, 65)( 42, 47)( 43, 92)( 46, 68)( 49, 55)( 50, 95)( 51, 69)( 53, 59)( 54, 99)( 57, 71)
        ( 58,103)( 61, 67)( 62, 97)( 63, 87)( 66, 91)( 70, 93)( 72, 78)( 73,115)( 74,107)( 76, 82)( 77,119)( 80, 86)
        ( 81,123)( 84, 90)( 85,127)( 88,101)( 89,131)( 94, 98)( 96,102)(100,106)(104,110)(105,132)(108,111)(109,135)
        (112,118)(113,147)(114,139)(116,122)(117,152)(120,126)(121,149)(124,130)(125,145)(128,134)(129,153)(133,138)
        (136,142)(137,154)(140,143)(141,155)(144,150)(146,156)(148,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 96)( 50, 56)( 51,104)( 52, 70)( 54, 60)( 55,108)
        ( 58, 72)( 59,112)( 62, 68)( 63,122)( 64, 88)( 67, 92)( 71,100)( 73, 79)( 74,126)( 75,117)( 77, 83)( 78,129)
        ( 81, 87)( 82,133)( 85, 91)( 86,134)( 89,118)( 90,137)( 94, 99)( 95,123)( 97,103)( 98,120)(101,107)(102,142)
        (105,111)(106,145)(109,115)(110,149)(113,116)(114,125)(119,124)(121,141)(127,132)(128,150)(130,136)(131,154)
        (135,140)(138,144)(139,155)(143,148)(146,152)(147,156)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117)
        (118,119,120,121)(122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 76)( 28, 56)( 30, 36)( 31, 80)( 34, 60)
        ( 35, 81)( 39, 44)( 40, 65)( 42, 48)( 43, 89)( 46, 68)( 47, 92)( 50, 55)( 51,104)( 52, 69)( 54, 59)( 57, 72)
        ( 58,105)( 61, 67)( 62,116)( 63, 84)( 66, 88)( 70,100)( 71, 96)( 73, 79)( 74,128)( 75,108)( 77, 83)( 78,131)
        ( 82, 87)( 85,112)( 86,132)( 90, 95)( 91,117)( 93, 99)( 94,140)( 97,120)( 98,143)(101,107)(102,153)(103,121)
        (106,111)(109,124)(110,154)(113,119)(114,142)(115,135)(118,139)(122,151)(123,147)(125,130)(126,137)(127,149)
        (129,134)(133,138)(136,145)(141,146)(144,150)(148,155)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 74)( 28, 57)( 30, 36)( 31, 77)( 34, 61)
        ( 35, 81)( 39, 44)( 40, 66)( 42, 48)( 43, 90)( 46, 69)( 47, 93)( 50, 56)( 51,105)( 52, 70)( 54, 60)( 55,109)
        ( 58, 73)( 59,110)( 62, 68)( 63,121)( 64, 85)( 67, 89)( 71,101)( 72, 97)( 75, 80)( 76,113)( 78, 84)( 79,130)
        ( 82, 88)( 83,133)( 86,117)( 87,136)( 91, 96)( 92,122)( 94,100)( 95,145)( 98,125)( 99,149)(102,108)(103,141)
        (104,126)(106,112)(107,150)(111,116)(114,129)(115,151)(118,124)(119,127)(120,140)(123,144)(128,147)(131,135)
        (132,154)(134,139)(137,143)(138,155)(142,153)(146,148)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145,146,147)(148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 96)( 50, 56)( 51,100)( 52, 70)( 54, 60)( 55,104)
        ( 58, 73)( 59,108)( 62, 68)( 63, 98)( 64, 89)( 67, 93)( 71, 90)( 72, 97)( 74, 80)( 75,120)( 76,112)( 78, 84)
        ( 79,124)( 82, 88)( 83,128)( 86, 92)( 87,132)( 91,103)( 95, 99)(101,107)(102,133)(105,111)(106,136)(109,115)
        (110,140)(113,116)(114,143)(117,123)(118,151)(119,144)(121,127)(122,156)(125,131)(126,153)(129,135)(130,149)
        (134,139)(137,142)(138,150)(141,146)(145,147)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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, 90)( 52, 70)( 54, 60)( 55, 97)
        ( 58, 73)( 59,101)( 62, 68)( 63, 71)( 64, 89)( 67, 93)( 72, 96)( 74, 80)( 75,112)( 76,105)( 78, 84)( 79,116)
        ( 82, 88)( 83,120)( 86, 92)( 87,124)( 91,100)( 98,104)( 99,125)(102,108)(103,128)(106,109)(107,132)(110,115)
        (111,136)(113,119)(114,140)(117,123)(118,143)(121,127)(122,147)(126,131)(129,135)(130,148)(133,138)(134,151)
        (137,139)(141,146)(142,152)(144,150)(145,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), 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)( 55,113)
        ( 58, 73)( 59,114)( 62, 68)( 63,125)( 64, 89)( 67, 93)( 71,105)( 72,101)( 74, 80)( 75,133)( 76,117)( 78, 84)
        ( 79,137)( 82, 88)( 83,142)( 86, 92)( 87,139)( 90,121)( 91,135)( 95,100)( 96,126)( 98,104)( 99,144)(102,108)
        (103,146)(106,112)(107,150)(110,116)(111,154)(115,120)(118,129)(119,155)(122,128)(123,148)(124,131)(127,143)
        (130,136)(132,152)(134,140)(138,141)(145,149)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142)(143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 80)( 34, 61)
        ( 35, 84)( 39, 44)( 40, 66)( 42, 48)( 43, 93)( 46, 69)( 47, 96)( 50, 56)( 51,108)( 52, 70)( 54, 60)( 55,112)
        ( 58, 73)( 59,115)( 62, 68)( 63,127)( 64, 88)( 67, 92)( 71,104)( 72,100)( 74, 79)( 75,139)( 76,119)( 78, 83)
        ( 81, 87)( 82,140)( 85, 91)( 86,141)( 89,123)( 90,137)( 94, 99)( 95,128)( 97,103)( 98,148)(101,131)(102,152)
        (105,111)(106,144)(107,132)(109,114)(110,153)(113,118)(116,122)(117,154)(120,135)(121,155)(124,130)(125,133)
        (126,143)(129,147)(134,150)(136,142)(138,146)(145,156)(149,151),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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)
        ( 81,131)( 84, 90)( 85,134)( 88,118)( 89,138)( 93, 97)( 94,123)( 96,101)( 99,126)(100,124)(103,109)(104,146)
        (105,127)(107,113)(108,149)(111,117)(112,153)(116,130)(119,125)(120,129)(121,142)(128,143)(132,137)(133,154)
        (135,141)(136,155)(139,145)(140,151)(144,148)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144,145)
        (146,147,148)(149,150,151,152)(153,154,155,156) ), 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)
        ( 81,131)( 84, 90)( 85,134)( 88,118)( 89,138)( 93, 97)( 94,123)( 96,101)( 99,126)(100,124)(103,109)(104,146)
        (105,127)(107,113)(108,149)(111,117)(112,153)(116,130)(119,125)(120,129)(121,142)(128,145)(132,137)(133,154)
        (135,141)(136,155)(139,144)(140,151)(143,148)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)( 95, 96, 97)
        ( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)(142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 25)( 11, 53)( 12, 22)( 14, 20)
        ( 15, 65)( 16, 33)( 18, 38)( 19, 37)( 23, 49)( 24, 45)( 26, 32)( 27, 77)( 28, 57)( 30, 36)( 31, 81)( 34, 61)
        ( 35, 85)( 39, 44)( 40, 66)( 42, 48)( 43, 94)( 46, 69)( 47, 98)( 50, 56)( 51, 90)( 52, 70)( 54, 60)( 55, 99)
        ( 58, 73)( 59,103)( 62, 68)( 63, 71)( 64, 89)( 67, 93)( 72, 96)( 74, 80)( 75,114)( 76,107)( 78, 84)( 79,118)
        ( 82, 88)( 83,122)( 86, 92)( 87,126)( 91,102)( 95, 97)(100,106)(101,127)(104,110)(105,130)(108,111)(109,134)
        (112,117)(113,138)(115,121)(116,142)(119,125)(120,145)(123,129)(124,149)(128,133)(131,137)(132,150)(135,140)
        (136,153)(139,141)(143,148)(144,154)(146,152)(147,155)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113)(114,115,116,117)(118,119,120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 64)( 28, 53)( 30, 36)( 31, 68)( 34, 57)
        ( 35, 72)( 40, 44)( 42, 58)( 46, 52)( 47, 73)( 48, 59)( 50, 56)( 51, 76)( 54, 60)( 55, 80)( 61, 67)( 62, 92)
        ( 63, 84)( 65, 71)( 66, 96)( 69, 75)( 70,100)( 74, 79)( 77, 83)( 78,101)( 81, 87)( 82,104)( 85, 88)( 86,108)
        ( 89, 95)( 90,120)( 91,112)( 93, 99)( 94,124)( 97,103)( 98,128)(102,107)(105,111)(106,129)(109,115)(110,132)
        (113,116)(114,136)(117,123)(118,146)(119,140)(121,127)(122,149)(125,131)(126,153)(130,135)(133,139)(134,154)
        (137,143)(138,155)(141,144)(142,151)(145,148)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 48)( 12, 22)( 14, 20)
        ( 15, 43)( 16, 33)( 18, 38)( 19, 37)( 23, 45)( 24, 41)( 26, 32)( 27, 64)( 28, 52)( 30, 36)( 31, 68)( 34, 56)
        ( 35, 72)( 40, 44)( 42, 57)( 46, 51)( 47, 58)( 49, 55)( 50, 77)( 53, 60)( 54, 80)( 59, 76)( 61, 67)( 62, 92)
        ( 63, 84)( 65, 71)( 66, 96)( 69, 75)( 70,100)( 73, 79)( 74,104)( 78, 83)( 81, 87)( 82,105)( 85, 88)( 86,108)
        ( 89, 95)( 90,120)( 91,112)( 93, 99)( 94,124)( 97,103)( 98,128)(101,107)(102,132)(106,111)(109,115)(110,133)
        (113,116)(114,136)(117,123)(118,146)(119,140)(121,127)(122,149)(125,131)(126,153)(129,135)(130,154)(134,139)
        (137,143)(138,155)(141,144)(142,151)(145,148)(147,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142,143)
        (144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 79,117)( 82, 88)( 83,118)
        ( 86, 92)( 87,121)( 90, 96)( 91,125)( 94, 97)( 95,129)( 98,104)( 99,139)(100,133)(102,108)(103,142)(106,112)
        (107,146)(110,116)(111,150)(114,120)(115,154)(119,124)(122,128)(123,155)(126,132)(127,152)(130,136)(131,148)
        (134,137)(135,144)(138,141)(140,145)(143,149)(147,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138)(139,140,141)(142,143,144,145)
        (146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 42)(  8, 17)( 10, 25)( 11, 34)( 12, 22)( 14, 20)
        ( 15, 23)( 16, 33)( 18, 38)( 19, 37)( 24, 40)( 26, 32)( 27, 51)( 28, 43)( 30, 36)( 31, 55)( 35, 46)( 39, 41)
        ( 44, 47)( 45, 56)( 48, 54)( 49, 67)( 50, 59)( 52, 58)( 53, 71)( 57, 62)( 60, 63)( 61, 72)( 64, 70)( 65, 83)
        ( 66, 75)( 68, 74)( 69, 87)( 73, 78)( 76, 79)( 77, 88)( 80, 86)( 81, 99)( 82, 91)( 84, 90)( 85,103)( 89, 94)
        ( 92, 95)( 93,104)( 96,102)( 97,115)( 98,107)(100,106)(101,119)(105,110)(108,111)(109,120)(112,118)(113,131)
        (114,123)(116,122)(117,135)(121,126)(124,127)(125,136)(128,134)(129,146)(130,139)(132,138)(133,150)(137,142)
        (140,143)(141,151)(144,149)(145,154)(147,153)(148,155)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 51)( 12, 22)( 14, 20)
        ( 15, 59)( 16, 31)( 18, 36)( 19, 35)( 23, 47)( 24, 43)( 26, 30)( 28, 34)( 29, 52)( 32, 55)( 33, 68)( 37, 42)
        ( 38, 60)( 40, 46)( 41, 76)( 44, 63)( 45, 79)( 48, 54)( 49, 91)( 50, 64)( 53, 67)( 56, 62)( 57, 99)( 58, 71)
        ( 61, 75)( 65, 87)( 66, 83)( 69, 74)( 70, 92)( 72, 95)( 73,108)( 77, 82)( 78,100)( 80, 86)( 81,116)( 84,103)
        ( 85,119)( 88, 94)( 89,131)( 90,104)( 93,107)( 96,102)( 97,139)( 98,111)(101,115)(105,127)(106,123)(109,114)
        (110,132)(112,135)(113,148)(117,122)(118,140)(120,126)(121,154)(124,143)(125,155)(128,134)(129,151)(130,144)
        (133,147)(136,142)(137,145)(138,150)(141,153)(146,156)(149,152),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152)(153,154,155,156) ), 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)( 55,104)( 58, 65)
        ( 59,108)( 63, 97)( 64, 93)( 66, 72)( 67,122)( 68,112)( 70, 76)( 71,126)( 74, 80)( 75,130)( 78, 84)( 79,134)
        ( 82, 88)( 83,138)( 86, 92)( 87,141)( 90, 96)( 91,145)( 94,116)( 95,149)( 98,103)( 99,106)(100,117)(102,107)
        (105,111)(109,115)(110,118)(113,120)(114,154)(119,153)(121,125)(123,129)(124,155)(127,133)(128,151)(131,137)
        (132,147)(135,140)(136,143)(139,144)(142,148)(146,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)(120,121)
        (122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 38)(  8, 17)( 10, 24)( 11, 45)( 12, 22)( 14, 20)
        ( 15, 54)( 16, 33)( 18, 34)( 19, 57)( 23, 42)( 25, 31)( 26, 69)( 27, 49)( 29, 32)( 30, 53)( 35, 41)( 36, 77)
        ( 37, 61)( 39, 44)( 40, 81)( 43, 48)( 46, 52)( 47, 82)( 50, 65)( 51, 85)( 55, 60)( 56, 70)( 58, 64)( 59, 94)
        ( 62, 73)( 63, 97)( 66, 72)( 67,109)( 68, 89)( 71, 93)( 74, 80)( 75,117)( 76,101)( 78, 84)( 79,121)( 83, 88)
        ( 86, 92)( 87,122)( 90,105)( 91,125)( 95,100)( 96,110)( 98,104)( 99,134)(102,113)(103,137)(106,112)(107,145)
        (108,129)(111,133)(114,120)(115,149)(116,141)(118,124)(119,153)(123,128)(126,132)(127,154)(130,142)(131,152)
        (135,140)(136,146)(138,144)(139,147)(143,148)(150,156)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 39)(  8, 17)( 10, 25)( 11, 47)( 12, 22)( 14, 20)
        ( 15, 56)( 16, 34)( 18, 35)( 19, 59)( 23, 44)( 24, 43)( 26, 32)( 27, 71)( 28, 51)( 30, 33)( 31, 55)( 36, 42)
        ( 37, 79)( 38, 63)( 40, 46)( 41, 83)( 45, 50)( 48, 54)( 49, 84)( 52, 67)( 53, 87)( 57, 62)( 58, 72)( 60, 66)
        ( 61, 96)( 64, 75)( 65, 99)( 68, 74)( 69,111)( 70, 91)( 73, 95)( 76, 82)( 77,119)( 78,103)( 80, 86)( 81,123)
        ( 85, 90)( 88, 94)( 89,124)( 92,107)( 93,127)( 97,102)( 98,112)(100,106)(101,136)(104,115)(105,139)(108,114)
        (109,147)(110,131)(113,135)(116,122)(117,151)(118,143)(120,126)(121,154)(125,130)(128,134)(129,155)(132,144)
        (133,153)(137,142)(138,148)(140,146)(141,149)(145,150)(152,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 35)(  8, 15)( 10, 23)( 11, 46)( 12, 20)( 14, 18)
        ( 16, 31)( 17, 28)( 21, 42)( 22, 39)( 24, 30)( 25, 65)( 26, 50)( 29, 54)( 32, 38)( 33, 73)( 34, 55)( 36, 41)
        ( 37, 77)( 40, 58)( 43, 49)( 44, 81)( 45, 59)( 47, 53)( 48, 85)( 51, 61)( 52, 89)( 56, 69)( 57, 66)( 60, 78)
        ( 62, 68)( 63,105)( 64, 93)( 67, 97)( 70, 76)( 71,113)( 72, 98)( 74, 80)( 75,117)( 79, 84)( 82, 88)( 83,118)
        ( 86, 92)( 87,121)( 90, 96)( 91,125)( 94,101)( 95,129)( 99,109)(100,106)(102,108)(103,145)(104,133)(107,137)
        (110,116)(111,150)(112,138)(114,120)(115,153)(119,124)(122,128)(123,154)(126,132)(127,144)(130,136)(131,135)
        (134,141)(139,149)(140,146)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)
        ( 69, 70, 71, 72)( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 35)(  8, 15)( 10, 23)( 11, 47)( 12, 20)( 14, 18)
        ( 16, 31)( 17, 28)( 21, 43)( 22, 39)( 24, 30)( 25, 67)( 26, 51)( 29, 55)( 32, 38)( 33, 75)( 34, 56)( 36, 42)
        ( 37, 79)( 40, 59)( 41, 83)( 44, 50)( 45, 93)( 46, 60)( 48, 54)( 49, 97)( 52, 63)( 53,101)( 57, 71)( 58, 68)
        ( 61, 89)( 62, 86)( 64, 70)( 65,121)( 66,105)( 69,109)( 72, 78)( 73,129)( 74,110)( 76, 82)( 77,133)( 80, 85)
        ( 81,116)( 84, 88)( 87,113)( 90, 96)( 91,137)( 92,114)( 94,100)( 95,141)( 98,104)( 99,145)(102,108)(103,146)
        (106,117)(107,147)(111,125)(112,122)(115,134)(118,124)(119,153)(120,143)(123,149)(126,132)(127,151)(128,150)
        (130,136)(131,155)(135,140)(138,144)(139,156)(142,148)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 35)(  8, 15)( 10, 23)( 11, 47)( 12, 20)( 14, 18)
        ( 16, 31)( 17, 28)( 21, 43)( 22, 39)( 24, 30)( 25, 67)( 26, 51)( 29, 55)( 32, 38)( 33, 75)( 34, 56)( 36, 42)
        ( 37, 79)( 40, 59)( 41, 83)( 44, 50)( 45, 95)( 46, 60)( 48, 54)( 49, 99)( 52, 63)( 53,103)( 57, 71)( 58, 68)
        ( 61, 91)( 62, 87)( 64, 70)( 65,123)( 66,107)( 69,111)( 72, 78)( 73,130)( 74,112)( 76, 82)( 77,134)( 80, 86)
        ( 81,118)( 84, 90)( 85, 89)( 88,115)( 92, 98)( 93,138)( 94,116)( 96,102)( 97,142)(100,106)(101,146)(104,110)
        (105,147)(108,119)(109,148)(113,127)(114,124)(117,135)(120,126)(121,153)(122,144)(125,150)(128,133)(129,151)
        (131,137)(132,155)(136,141)(139,145)(140,156)(143,149)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 27)(  4,  9)(  6, 19)(  7, 35)(  8, 15)( 10, 23)( 11, 47)( 12, 20)( 14, 18)
        ( 16, 31)( 17, 28)( 21, 43)( 22, 39)( 24, 30)( 25, 67)( 26, 51)( 29, 55)( 32, 38)( 33, 75)( 34, 56)( 36, 42)
        ( 37, 79)( 40, 60)( 41, 59)( 44, 50)( 45, 83)( 46, 61)( 48, 54)( 49, 87)( 52, 63)( 53, 91)( 57, 71)( 58, 68)
        ( 62, 80)( 64, 70)( 65,107)( 66, 95)( 69, 99)( 72, 78)( 73,115)( 74,100)( 76, 82)( 77,119)( 81, 86)( 84, 90)
        ( 85,120)( 88, 94)( 89,123)( 92, 98)( 93,127)( 96,103)( 97,131)(101,111)(102,108)(104,110)(105,145)(106,134)
        (109,137)(112,118)(113,150)(114,138)(116,122)(117,153)(121,126)(124,130)(125,154)(128,133)(129,144)(132,136)
        (135,141)(139,149)(140,146)(142,148)(143,155)(147,152)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133)(134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 74)( 34, 53)( 35, 77)
        ( 38, 44)( 39, 88)( 40, 65)( 42, 48)( 43, 92)( 46, 69)( 47, 96)( 51, 73)( 52, 70)( 54, 60)( 55,112)( 56, 81)
        ( 58, 64)( 59,116)( 62, 68)( 63,120)( 66, 85)( 67,124)( 71,104)( 72,100)( 75, 80)( 76,105)( 78, 84)( 79,132)
        ( 82,108)( 83,135)( 86, 91)( 87,128)( 89, 95)( 90,144)( 93, 99)( 94,141)( 97,103)( 98,137)(101,107)(102,134)
        (106,131)(109,115)(110,147)(111,139)(113,119)(114,151)(117,123)(118,156)(121,127)(122,153)(125,130)(126,149)
        (129,143)(133,138)(136,142)(140,145)(146,150)(148,154)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 29)(  4,  9)(  6, 21)(  7, 41)(  8, 17)( 10, 26)( 11, 25)( 12, 22)( 14, 20)
        ( 15, 57)( 16, 33)( 18, 37)( 19, 61)( 23, 49)( 24, 45)( 27, 32)( 28, 50)( 30, 36)( 31, 74)( 34, 53)( 35, 77)
        ( 38, 44)( 39, 88)( 40, 65)( 42, 48)( 43, 92)( 46, 69)( 47, 96)( 51, 73)( 52, 70)( 54, 60)( 55,112)( 56, 81)
        ( 58, 64)( 59,116)( 62, 68)( 63,120)( 66, 85)( 67,124)( 71,104)( 72,100)( 75, 80)( 76,105)( 78, 84)( 79,134)
        ( 82,108)( 83,137)( 86, 91)( 87,128)( 89, 95)( 90,146)( 93, 99)( 94,143)( 97,103)( 98,139)(101,131)(102,136)
        (106,133)(107,132)(109,115)(110,149)(111,141)(113,119)(114,153)(117,123)(118,154)(121,127)(122,155)(125,130)
        (126,151)(129,145)(135,140)(138,144)(142,147)(148,152)(150,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 79,134)
        ( 82,109)( 83,137)( 86, 92)( 87,149)( 88,127)( 90, 96)( 91,150)( 94,100)( 95,143)( 98,104)( 99,139)(102,131)
        (103,136)(107,133)(108,132)(110,116)(111,147)(112,141)(114,119)(115,153)(118,123)(121,126)(122,154)(125,130)
        (128,145)(129,155)(135,140)(138,144)(142,151)(146,152)(148,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126)(127,128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 79,134)
        ( 82,109)( 83,137)( 86, 92)( 87,149)( 88,128)( 90, 96)( 91,150)( 94,100)( 95,143)( 98,104)( 99,139)(102,131)
        (103,136)(107,133)(108,132)(110,116)(111,147)(112,141)(114,119)(115,153)(118,123)(121,127)(122,154)(125,130)
        (126,155)(129,145)(135,140)(138,144)(142,151)(146,152)(148,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130)(131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 27)(  8, 17)( 10, 24)( 11, 23)( 12, 22)( 14, 20)
        ( 15, 44)( 16, 32)( 18, 36)( 19, 45)( 25, 31)( 26, 37)( 29, 35)( 30, 52)( 33, 40)( 34, 56)( 38, 55)( 39, 48)
        ( 41, 47)( 42, 72)( 43, 60)( 46, 51)( 49, 64)( 50, 73)( 53, 59)( 54, 65)( 57, 63)( 58, 80)( 61, 68)( 62, 84)
        ( 66, 83)( 67, 76)( 69, 75)( 70,100)( 71, 88)( 74, 79)( 77, 92)( 78,101)( 81, 87)( 82, 93)( 85, 91)( 86,108)
        ( 89, 96)( 90,112)( 94,111)( 95,104)( 97,103)( 98,128)( 99,116)(102,107)(105,120)(106,129)(109,115)(110,121)
        (113,119)(114,135)(117,124)(118,139)(122,138)(123,132)(125,131)(126,150)(127,143)(130,134)(133,147)(136,142)
        (137,148)(140,146)(141,156)(144,154)(145,152)(149,155)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 27)(  8, 17)( 10, 24)( 11, 23)( 12, 22)( 14, 20)
        ( 15, 44)( 16, 32)( 18, 36)( 19, 48)( 25, 31)( 26, 37)( 29, 35)( 30, 56)( 33, 40)( 34, 57)( 38, 59)( 39, 52)
        ( 41, 47)( 42, 68)( 43, 60)( 45, 51)( 46, 72)( 49, 55)( 50, 76)( 53, 62)( 54, 80)( 58, 63)( 61, 64)( 65, 71)
        ( 66, 88)( 67, 81)( 69, 75)( 70, 92)( 73, 79)( 74, 96)( 77, 83)( 78,100)( 82, 84)( 85, 91)( 86,108)( 87,101)
        ( 89, 95)( 90,112)( 93, 99)( 94,116)( 97,103)( 98,120)(102,104)(105,111)(106,128)(107,121)(109,115)(110,132)
        (113,119)(114,136)(117,123)(118,139)(122,124)(125,131)(126,147)(127,140)(129,135)(130,151)(133,138)(134,146)
        (137,142)(141,143)(144,150)(145,152)(148,154)(149,156)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 28)(  4,  9)(  6, 21)(  7, 27)(  8, 17)( 10, 24)( 11, 23)( 12, 22)( 14, 20)
        ( 15, 44)( 16, 32)( 18, 36)( 19, 48)( 25, 31)( 26, 37)( 29, 35)( 30, 56)( 33, 40)( 34, 60)( 38, 59)( 39, 52)
        ( 41, 47)( 42, 76)( 43, 64)( 45, 51)( 46, 80)( 49, 55)( 50, 84)( 53, 68)( 54, 87)( 57, 63)( 58, 69)( 61, 67)
        ( 62, 95)( 65, 72)( 66, 99)( 70, 98)( 71, 91)( 73, 79)( 74,115)( 75,103)( 77, 83)( 78,119)( 81, 86)( 82,123)
        ( 85, 90)( 88, 94)( 89,124)( 92,107)( 93,127)( 96,102)( 97,108)(100,106)(101,135)(104,111)(105,139)(109,138)
        (110,131)(112,118)(113,150)(114,143)(116,122)(117,133)(120,126)(121,129)(125,130)(128,134)(132,147)(136,142)
        (137,148)(140,146)(141,156)(144,154)(145,152)(149,155)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 22)(  4,  9)(  6, 16)(  7, 21)(  8, 13)( 10, 18)( 11, 17)( 14, 30)( 15, 26)
        ( 19, 25)( 20, 31)( 23, 29)( 24, 38)( 27, 34)( 28, 42)( 32, 41)( 33, 35)( 36, 50)( 37, 46)( 39, 45)( 40, 51)
        ( 43, 49)( 44, 58)( 47, 54)( 48, 62)( 52, 61)( 53, 55)( 56, 70)( 57, 66)( 59, 65)( 60, 71)( 63, 69)( 64, 78)
        ( 67, 74)( 68, 82)( 72, 81)( 73, 75)( 76, 90)( 77, 86)( 79, 85)( 80, 91)( 83, 89)( 84, 98)( 87, 94)( 88,102)
        ( 92,101)( 93, 95)( 96,110)( 97,106)( 99,105)(100,111)(103,109)(104,118)(107,114)(108,122)(112,121)(113,115)
        (116,130)(117,126)(119,125)(120,131)(123,129)(124,138)(127,134)(128,142)(132,141)(133,135)(136,150)(137,146)
        (139,145)(140,151)(143,149)(144,156)(147,154)(148,153)(152,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 12)(  3, 25)(  4,  9)(  6, 19)(  7, 24)(  8, 15)( 10, 21)( 11, 20)( 13, 18)( 14, 29)
        ( 16, 33)( 17, 38)( 22, 28)( 23, 34)( 26, 32)( 27, 45)( 30, 37)( 31, 49)( 35, 48)( 36, 41)( 39, 44)( 40, 53)
        ( 42, 57)( 43, 62)( 46, 52)( 47, 58)( 50, 56)( 51, 69)( 54, 61)( 55, 73)( 59, 72)( 60, 65)( 63, 68)( 64, 77)
        ( 66, 81)( 67, 86)( 70, 76)( 71, 82)( 74, 80)( 75, 93)( 78, 85)( 79, 97)( 83, 96)( 84, 89)( 87, 92)( 88,101)
        ( 90,105)( 91,110)( 94,100)( 95,106)( 98,104)( 99,117)(102,109)(103,121)(107,120)(108,113)(111,116)(112,125)
        (114,129)(115,134)(118,124)(119,130)(122,128)(123,141)(126,133)(127,145)(131,144)(132,137)(135,140)(136,149)
        (138,143)(139,155)(142,148)(146,152)(147,156)(150,154)(151,153),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14)( 15, 16, 17, 18)( 19, 20)( 21, 22, 23, 24
         )( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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, 86)( 55, 61)( 56, 67)( 59, 65)( 60, 94)
        ( 63, 70)( 64, 98)( 68, 97)( 69, 90)( 71, 77)( 72,114)( 73,102)( 75, 81)( 76,118)( 79, 85)( 80,122)( 83, 89)
        ( 84,123)( 87, 93)( 88,126)( 91,106)( 92,129)( 95,101)( 96,107)( 99,105)(100,137)(103,110)(104,141)(108,140)
        (109,133)(111,117)(112,152)(113,145)(115,121)(116,135)(119,125)(120,131)(124,128)(127,132)(130,136)(134,149)
        (138,144)(139,150)(142,148)(143,156)(146,154)(147,153)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11)( 12, 13, 14, 15)( 16, 17, 18, 19)( 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 20)(  7, 31)(  8, 17)( 11, 24)( 12, 21)( 14, 19)( 15, 47)
        ( 16, 25)( 18, 28)( 22, 39)( 23, 35)( 26, 43)( 27, 40)( 29, 34)( 30, 48)( 32, 38)( 33, 60)( 36, 51)( 37, 63)
        ( 41, 55)( 42, 52)( 44, 50)( 45, 79)( 46, 56)( 49, 59)( 53, 71)( 54, 67)( 57, 75)( 58, 72)( 61, 66)( 62, 80)
        ( 64, 70)( 65, 92)( 68, 83)( 69, 95)( 73, 87)( 74, 84)( 76, 82)( 77,111)( 78, 88)( 81, 91)( 85,103)( 86, 99)
        ( 89,107)( 90,104)( 93, 98)( 94,112)( 96,102)( 97,124)(100,115)(101,127)(105,119)(106,116)(108,114)(109,143)
        (110,120)(113,123)(117,135)(118,131)(121,139)(122,136)(125,130)(126,144)(128,134)(129,152)(132,138)(133,150)
        (137,147)(140,146)(141,156)(142,148)(145,151)(149,153)(154,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 13)(  3, 10)(  4,  9)(  6, 20)(  7, 31)(  8, 17)( 11, 24)( 12, 21)( 14, 19)( 15, 47)
        ( 16, 25)( 18, 28)( 22, 39)( 23, 35)( 26, 43)( 27, 40)( 29, 34)( 30, 48)( 32, 38)( 33, 60)( 36, 51)( 37, 63)
        ( 41, 55)( 42, 52)( 44, 50)( 45, 79)( 46, 56)( 49, 59)( 53, 71)( 54, 67)( 57, 75)( 58, 72)( 61, 66)( 62, 80)
        ( 64, 70)( 65, 92)( 68, 83)( 69, 95)( 73, 87)( 74, 84)( 76, 82)( 77,111)( 78, 88)( 81, 91)( 85,103)( 86, 99)
        ( 89,107)( 90,104)( 93, 98)( 94,112)( 96,102)( 97,124)(100,115)(101,127)(105,119)(106,116)(108,114)(109,143)
        (110,120)(113,123)(117,135)(118,131)(121,139)(122,136)(125,130)(126,144)(128,134)(129,154)(132,147)(133,152)
        (137,149)(138,148)(140,146)(141,156)(142,150)(145,153)(151,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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)( 66,108)( 69, 75)( 70,111)( 73, 79)( 74,115)( 77, 92)( 78,119)( 82, 96)( 83, 93)
        ( 85, 91)( 86,135)( 87, 97)( 90,100)( 94,127)( 95,123)( 98,131)( 99,128)(101,107)(102,149)(103,136)(105,110)
        (106,150)(109,114)(112,118)(113,151)(116,122)(117,147)(120,126)(121,153)(124,139)(125,144)(129,141)(130,140)
        (132,138)(133,155)(134,142)(137,145)(143,154)(146,152)(148,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19)( 20, 21, 22, 23)
        ( 24, 25, 26, 27)( 28, 29, 30, 31)( 32, 33, 34, 35)( 36, 37, 38, 39)( 40, 41, 42, 43)( 44, 45, 46, 47)
        ( 48, 49, 50, 51)( 52, 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), 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)( 91,136)( 94,100)( 95,139)( 98,109)( 99,143)(103,117)(104,113)(107,121)
        (108,118)(111,116)(112,147)(114,151)(115,156)(119,153)(120,152)(122,127)(123,154)(125,131)(126,149)(129,135)
        (130,145)(133,138)(134,141)(137,142)(140,146)(144,150)(148,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152)(153,154,155,156) ), 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, 56)( 34, 40)( 35, 73)
        ( 38, 60)( 39, 76)( 43, 64)( 44, 61)( 46, 52)( 47, 92)( 48, 65)( 50, 55)( 51, 96)( 54, 59)( 57, 68)( 58, 97)
        ( 62, 84)( 63, 80)( 66, 88)( 67, 85)( 69, 75)( 70,116)( 71,100)( 74, 79)( 77, 83)( 78,117)( 81,104)( 82,120)
        ( 86,108)( 87,105)( 89, 95)( 90,136)( 91,109)( 93, 99)( 94,139)( 98,103)(101,112)(102,140)(106,128)(107,124)
        (110,132)(111,129)(113,119)(114,154)(115,143)(118,123)(121,127)(122,155)(125,147)(126,152)(130,149)(131,148)
        (133,138)(134,145)(135,150)(137,142)(141,146)(144,153)(151,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55)( 56, 57, 58, 59)( 60, 61, 62, 63)( 64, 65, 66, 67)( 68, 69, 70, 71)
        ( 72, 73, 74, 75)( 76, 77, 78, 79)( 80, 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148)(149,150,151,152)(153,154,155,156) ), 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, 84)( 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, 83)( 79,124)( 82, 87)
        ( 85, 91)( 86,125)( 89,104)( 90,128)( 94, 99)( 95,105)( 97,108)( 98,137)(102,116)(103,112)(106,136)(107,132)
        (110,115)(111,140)(113,143)(114,152)(117,123)(118,134)(119,144)(121,127)(122,130)(126,131)(129,135)(133,147)
        (138,142)(139,148)(141,151)(145,150)(146,156)(149,154)(153,155),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24)
        ( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83)( 84, 85, 86, 87)( 88, 89, 90, 91)( 92, 93, 94, 95)
        ( 96, 97, 98, 99)(100,101,102,103)(104,105,106,107)(108,109,110,111)(112,113,114,115)(116,117,118,119)
        (120,121,122,123)(124,125,126,127)(128,129,130,131)(132,133,134,135)(136,137,138,139)(140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153,154)(155,156) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 12)(  4, 10)(  6, 14)(  7, 27)(  8, 19)(  9, 11)( 13, 18)( 16, 22)( 17, 28)
        ( 20, 23)( 21, 31)( 24, 30)( 25, 43)( 26, 35)( 29, 34)( 32, 38)( 33, 44)( 36, 39)( 37, 47)( 40, 46)( 41, 59)
        ( 42, 51)( 45, 50)( 48, 54)( 49, 60)( 52, 55)( 53, 63)( 56, 62)( 57, 75)( 58, 67)( 61, 66)( 64, 70)( 65, 76)
        ( 68, 71)( 69, 79)( 72, 78)( 73, 91)( 74, 83)( 77, 82)( 80, 86)( 81, 92)( 84, 87)( 85, 95)( 88, 94)( 89,107)
        ( 90, 99)( 93, 98)( 96,102)( 97,108)(100,103)(101,111)(104,110)(105,123)(106,115)(109,114)(112,118)(113,124)
        (116,119)(117,127)(120,126)(121,139)(122,131)(125,130)(128,134)(129,140)(132,135)(133,143)(136,142)(137,154)
        (138,147)(141,146)(144,150)(145,155)(148,152)(149,151)(153,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149,150)(151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 12)(  4, 10)(  6, 14)(  7, 26)(  8, 19)(  9, 11)( 13, 23)( 16, 22)( 17, 31)
        ( 18, 24)( 20, 27)( 21, 35)( 25, 28)( 29, 34)( 30, 39)( 32, 38)( 33, 44)( 36, 42)( 37, 47)( 40, 43)( 41, 51)
        ( 45, 50)( 46, 55)( 48, 54)( 49, 60)( 52, 58)( 53, 63)( 56, 59)( 57, 67)( 61, 66)( 62, 71)( 64, 70)( 65, 76)
        ( 68, 74)( 69, 79)( 72, 75)( 73, 83)( 77, 82)( 78, 87)( 80, 86)( 81, 92)( 84, 90)( 85, 95)( 88, 91)( 89, 99)
        ( 93, 98)( 94,103)( 96,102)( 97,108)(100,106)(101,111)(104,107)(105,115)(109,114)(110,119)(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)(145,156)(148,153)(151,155)(152,154),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125,126)(127,128,129,130)(131,132,133,134)(135,136,137,138)(139,140,141,142)
        (143,144,145,146)(147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  5)(  2, 15)(  3, 24)(  4, 10)(  6, 14)(  7, 35)(  8, 19)(  9, 11)( 12, 23)( 13, 39)( 16, 22)
        ( 17, 51)( 18, 27)( 20, 32)( 21, 31)( 25, 30)( 26, 43)( 28, 47)( 29, 56)( 33, 38)( 34, 52)( 36, 42)( 37, 64)
        ( 40, 46)( 41, 67)( 44, 55)( 45, 71)( 48, 54)( 49, 83)( 50, 59)( 53, 63)( 57, 62)( 58, 75)( 60, 79)( 61, 88)
        ( 65, 70)( 66, 84)( 68, 74)( 69, 96)( 72, 78)( 73, 99)( 76, 87)( 77,103)( 80, 86)( 81,115)( 82, 91)( 85, 95)
        ( 89, 94)( 90,107)( 92,111)( 93,120)( 97,102)( 98,116)(100,106)(101,127)(104,110)(105,130)(108,119)(109,134)
        (112,118)(113,146)(114,123)(117,126)(121,125)(122,138)(124,142)(128,133)(129,147)(131,137)(132,151)(135,141)
        (136,152)(139,145)(140,154)(143,149)(144,155)(148,150)(153,156),
      nbP := 156,
      next := (  1,  2,  3,  4)(  5,  6,  7,  8)(  9, 10)( 11, 12, 13, 14)( 15, 16, 17, 18)( 19, 20, 21, 22)
        ( 23, 24, 25, 26)( 27, 28, 29, 30)( 31, 32, 33, 34)( 35, 36, 37, 38)( 39, 40, 41, 42)( 43, 44, 45, 46)
        ( 47, 48, 49, 50)( 51, 52, 53, 54)( 55, 56, 57, 58)( 59, 60, 61, 62)( 63, 64, 65, 66)( 67, 68, 69, 70)
        ( 71, 72, 73, 74)( 75, 76, 77, 78)( 79, 80, 81, 82)( 83, 84, 85, 86)( 87, 88, 89, 90)( 91, 92, 93, 94)
        ( 95, 96, 97, 98)( 99,100,101,102)(103,104,105,106)(107,108,109,110)(111,112,113,114)(115,116,117,118)
        (119,120,121,122)(123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), rec(
      invers := (  1,  3)(  2, 12)(  4, 10)(  5, 30)(  6, 16)(  7, 11)(  8, 18)(  9, 34)( 13, 15)( 14, 22)( 17, 26)
        ( 19, 25)( 20, 46)( 21, 38)( 23, 29)( 24, 50)( 27, 33)( 28, 54)( 31, 37)( 32, 58)( 35, 41)( 36, 62)( 39, 42)
        ( 40, 66)( 43, 49)( 44, 78)( 45, 70)( 47, 53)( 48, 82)( 51, 57)( 52, 86)( 55, 61)( 56, 90)( 59, 65)( 60, 91)
        ( 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)( 87, 93)( 88,126)( 92, 97)( 95,101)( 96,127)( 99,105)(100,130)(103,109)(104,134)(107,110)(108,138)
        (111,117)(112,143)(113,142)(115,121)(116,147)(119,125)(120,150)(123,129)(124,154)(128,133)(131,137)(132,155)
        (135,141)(136,152)(139,145)(140,149)(144,146)(148,153)(151,156),
      nbP := 156,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148,149)(150,151,152,153)(154,155,156) ), 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, 89)( 59, 65)( 60, 93)
        ( 63, 69)( 64, 97)( 67, 73)( 68,101)( 71, 74)( 72,105)( 75, 81)( 76,117)( 77,109)( 79, 85)( 80,121)( 83, 88)
        ( 84,125)( 87, 92)( 90, 96)( 91,126)( 94,100)( 95,129)( 98,104)( 99,133)(102,108)(103,134)(106,112)(107,137)
        (110,113)(111,141)(114,120)(115,146)(116,145)(118,124)(119,150)(122,128)(123,153)(127,132)(130,136)(131,154)
        (135,140)(138,144)(139,155)(142,148)(143,152)(147,149)(151,156),
      nbP := 156,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9, 10)( 11, 12, 13, 14)( 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88)( 89, 90, 91, 92)
        ( 93, 94, 95, 96)( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)
        (117,118,119,120)(121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)
        (141,142,143,144)(145,146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  3)(  2, 11)(  4,  9)(  5, 21)(  6, 15)(  7, 10)(  8, 18)( 12, 14)( 13, 22)( 16, 30)( 17, 26)
        ( 19, 25)( 20, 31)( 23, 29)( 24, 38)( 27, 34)( 28, 42)( 32, 41)( 33, 35)( 36, 50)( 37, 46)( 39, 45)( 40, 51)
        ( 43, 49)( 44, 58)( 47, 54)( 48, 62)( 52, 61)( 53, 55)( 56, 70)( 57, 66)( 59, 65)( 60, 71)( 63, 69)( 64, 78)
        ( 67, 74)( 68, 82)( 72, 81)( 73, 75)( 76, 90)( 77, 86)( 79, 85)( 80, 91)( 83, 89)( 84, 98)( 87, 94)( 88,102)
        ( 92,101)( 93, 95)( 96,110)( 97,106)( 99,105)(100,111)(103,109)(104,118)(107,114)(108,122)(112,121)(113,115)
        (116,130)(117,126)(119,125)(120,131)(123,129)(124,138)(127,134)(128,142)(132,141)(133,135)(136,149)(137,146)
        (139,145)(140,150)(143,148)(144,156)(147,153)(151,155)(152,154),
      nbP := 156,
      next := (  1,  2)(  3,  4,  5,  6)(  7,  8,  9)( 10, 11, 12, 13)( 14, 15, 16, 17)( 18, 19, 20, 21)
        ( 22, 23, 24, 25)( 26, 27, 28, 29)( 30, 31, 32, 33)( 34, 35, 36, 37)( 38, 39, 40, 41)( 42, 43, 44, 45)
        ( 46, 47, 48, 49)( 50, 51, 52, 53)( 54, 55, 56, 57)( 58, 59, 60, 61)( 62, 63, 64, 65)( 66, 67, 68, 69)
        ( 70, 71, 72, 73)( 74, 75, 76, 77)( 78, 79, 80, 81)( 82, 83, 84, 85)( 86, 87, 88, 89)( 90, 91, 92, 93)
        ( 94, 95, 96, 97)( 98, 99,100,101)(102,103,104,105)(106,107,108,109)(110,111,112,113)(114,115,116,117)
        (118,119,120,121)(122,123,124,125)(126,127,128,129)(130,131,132,133)(134,135,136,137)(138,139,140,141)
        (142,143,144,145)(146,147,148)(149,150,151,152)(153,154,155,156) ), rec(
      invers := (  1,  3)(  2,155)(  4,151)(  5,156)(  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)(147,153)(148,150)(152,154),
      nbP := 156,
      next := (  1,  2)(  3,  4,  5)(  6,  7,  8,  9)( 10, 11, 12)( 13, 14, 15, 16)( 17, 18, 19, 20)( 21, 22, 23, 24
         )( 25, 26, 27, 28)( 29, 30, 31, 32)( 33, 34, 35, 36)( 37, 38, 39, 40)( 41, 42, 43, 44)( 45, 46, 47, 48)
        ( 49, 50, 51, 52)( 53, 54, 55, 56)( 57, 58, 59, 60)( 61, 62, 63, 64)( 65, 66, 67, 68)( 69, 70, 71, 72)
        ( 73, 74, 75, 76)( 77, 78, 79, 80)( 81, 82, 83, 84)( 85, 86, 87, 88)( 89, 90, 91, 92)( 93, 94, 95, 96)
        ( 97, 98, 99,100)(101,102,103,104)(105,106,107,108)(109,110,111,112)(113,114,115,116)(117,118,119,120)
        (121,122,123,124)(125,126,127,128)(129,130,131,132)(133,134,135,136)(137,138,139,140)(141,142,143,144)
        (145,146,147,148)(149,150,151,152)(153,154,155,156) ) ];
