return [ rec(
      invers := ( 1, 3)( 2, 7)( 4,10)( 5,15)( 6, 8)( 9,11)(12,18)(13,23)(14,16)(17,19)(20,26)(21,31)(22,24)(25,27)
        (28,34)(29,39)(30,32)(33,35)(36,42)(37,47)(38,40)(41,43)(44,50)(45,54)(46,48)(49,51)(52,56)(53,55),
      nbP := 56,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,43)(15,21)(17,24)(18,47)(22,39)
        (23,36)(25,31)(26,41)(27,48)(29,35)(30,53)(33,38)(34,56)(37,51)(40,46)(42,52)(44,50)(45,49)(54,55),
      nbP := 56,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,16)(10,20)(11,40)(14,19)(15,28)(17,32)(18,48)(21,27)
        (22,38)(23,46)(25,31)(26,34)(29,47)(30,52)(33,39)(35,51)(37,43)(41,45)(42,44)(49,54)(50,56)(53,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,23)(10,37)(11,21)(13,19)(14,45)(15,24)(17,27)(18,49)
        (22,33)(25,41)(26,38)(28,32)(30,36)(31,50)(34,40)(35,56)(39,53)(42,48)(43,47)(44,54)(46,52)(51,55),
      nbP := 56,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,23)(10,37)(11,21)(13,19)(14,46)(15,24)(17,27)(18,49)
        (22,33)(25,45)(26,41)(28,32)(30,36)(31,50)(34,40)(35,56)(38,44)(39,43)(42,53)(47,52)(48,54)(51,55),
      nbP := 56,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,41)(11,20)(13,18)(14,30)(15,24)(17,27)(21,39)
        (22,35)(25,49)(26,45)(28,34)(29,50)(32,38)(33,51)(36,43)(37,56)(40,44)(42,48)(46,54)(47,53)(52,55),
      nbP := 56,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,48)(15,25)(17,28)(18,51)
        (22,40)(23,36)(26,47)(27,38)(29,35)(30,53)(31,56)(33,39)(34,50)(37,44)(41,46)(42,45)(49,54)(52,55),
      nbP := 56,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,42)(11,21)(13,19)(14,50)(15,25)(17,29)(18,28)
        (22,40)(23,36)(26,49)(27,46)(30,35)(31,51)(33,39)(34,55)(37,44)(38,56)(41,45)(43,48)(47,53)(52,54),
      nbP := 56,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41)(42,43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,16)( 7,32)( 8,14)(10,20)(11,42)(12,17)(15,28)(18,40)(19,36)(21,27)
        (22,47)(23,46)(25,31)(26,51)(29,35)(30,54)(33,39)(34,55)(37,44)(38,53)(41,45)(43,49)(48,50)(52,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,37)( 8,14)(10,21)(11,47)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,35)(24,42)(26,32)(27,56)(30,54)(31,52)(34,39)(36,55)(38,43)(41,48)(45,50)(46,49)(51,53),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,12)( 3,24)( 4, 9)( 6,16)( 7,35)( 8,13)(10,20)(11,17)(14,32)(15,28)(18,40)(19,39)(21,27)
        (22,47)(23,41)(25,31)(26,51)(29,43)(30,56)(33,38)(34,44)(36,42)(37,50)(45,49)(46,53)(48,54)(52,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,19)(12,18)(15,33)(16,29)(20,40)(22,28)
        (23,47)(24,41)(26,32)(27,51)(30,43)(31,52)(34,39)(35,44)(37,42)(38,50)(45,49)(46,56)(48,54)(53,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,38)( 8,17)(10,24)(11,43)(12,22)(14,20)(15,50)(16,30)(18,34)
        (19,54)(23,42)(25,29)(27,33)(28,44)(31,46)(32,40)(35,41)(36,49)(37,55)(39,45)(47,53)(48,52)(51,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,45)(12,22)(14,20)(15,49)(16,28)(18,32)
        (19,53)(23,40)(26,31)(27,42)(29,46)(30,38)(33,39)(34,48)(35,54)(37,43)(41,44)(47,52)(50,56)(51,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45)(46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,50)(16,31)(18,35)
        (19,53)(23,43)(25,30)(26,45)(28,34)(29,41)(32,49)(33,37)(36,42)(38,54)(40,46)(44,47)(51,56)(52,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,12)( 3,26)( 4, 9)( 6,20)( 7,38)( 8,16)(10,24)(11,21)(13,19)(14,45)(15,30)(17,34)(18,49)
        (22,28)(23,39)(25,29)(27,33)(31,42)(32,40)(35,41)(36,44)(37,53)(43,48)(46,52)(47,54)(50,56)(51,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,49)(16,30)(18,32)
        (19,53)(23,44)(24,40)(26,31)(27,52)(28,42)(33,39)(34,55)(35,54)(37,43)(38,51)(41,47)(45,48)(50,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45)(46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,53)(16,28)(18,32)
        (22,43)(23,40)(26,31)(27,52)(29,45)(30,49)(33,39)(34,38)(35,54)(37,42)(41,55)(44,50)(46,56)(48,51),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,49)(12,21)(14,19)(15,53)(16,30)(18,34)
        (22,45)(23,41)(25,29)(27,33)(28,50)(31,47)(32,51)(35,40)(36,54)(38,44)(39,43)(42,55)(46,52)(48,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,52)(12,21)(14,19)(15,38)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,33)(27,49)(29,34)(32,53)(36,42)(37,54)(40,46)(41,45)(44,55)(48,51)(50,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,48)(15,29)(17,32)(18,53)
        (22,41)(23,40)(25,31)(26,54)(27,42)(30,44)(33,39)(34,46)(35,50)(37,43)(38,56)(45,51)(47,55)(49,52),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,23)(12,22)(14,20)(15,48)(16,30)(18,33)
        (19,49)(24,41)(26,32)(27,54)(28,42)(31,44)(34,40)(35,46)(36,53)(38,43)(39,56)(45,51)(47,55)(50,52),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53)(54,55,56) ), 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)(18,55)
        (19,37)(24,40)(26,32)(27,48)(28,41)(30,36)(31,52)(35,44)(38,56)(42,45)(43,53)(46,51)(47,50)(49,54),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,42)( 8,17)(10,25)(11,53)(12,22)(14,20)(15,41)(16,32)(18,39)
        (19,37)(23,50)(24,46)(26,31)(27,34)(28,48)(30,35)(33,44)(36,38)(40,45)(43,49)(47,54)(51,56)(52,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,42)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,41)(16,32)(18,39)
        (19,37)(23,46)(24,43)(26,31)(27,48)(28,56)(30,35)(33,44)(34,49)(36,38)(40,45)(47,53)(51,55)(52,54),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56) ), 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)(18,55)
        (19,37)(23,45)(24,41)(26,32)(27,54)(28,53)(30,36)(31,50)(34,42)(35,47)(38,56)(40,44)(46,51)(49,52),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,43)(12,22)(14,20)(15,41)(16,32)(18,37)
        (19,36)(23,33)(24,40)(26,31)(27,47)(29,35)(30,55)(34,46)(38,42)(44,50)(45,56)(48,54)(49,52)(51,53),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,42)(16,32)(18,37)
        (19,36)(23,44)(24,40)(26,31)(27,53)(29,35)(30,50)(33,54)(34,46)(39,43)(41,55)(45,51)(47,56)(49,52),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,53)(16,29)(18,33)
        (19,32)(23,43)(24,40)(26,31)(27,45)(30,49)(34,39)(35,54)(37,42)(38,55)(41,51)(44,47)(46,52)(50,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,53)(16,31)(18,36)
        (19,35)(23,45)(24,42)(26,30)(28,34)(29,50)(32,47)(33,51)(37,41)(38,54)(40,44)(43,55)(46,52)(48,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,19)( 7,35)( 8,15)(10,23)(11,43)(12,20)(14,18)(16,31)(17,28)(21,42)
        (22,39)(24,30)(25,53)(26,44)(29,46)(32,38)(33,48)(34,47)(36,41)(37,55)(40,50)(45,51)(49,54)(52,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,19)( 7,34)( 8,15)(10,23)(11,43)(12,20)(14,18)(16,31)(17,28)(21,42)
        (22,38)(24,30)(25,53)(26,44)(29,46)(32,37)(33,47)(35,41)(36,55)(39,50)(40,49)(45,51)(48,54)(52,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56) ), 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)(44,56)(47,54)(48,53)(52,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17)(18,19,20,21)(22,23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,12)( 7,25)( 8,17)(11,16)(14,20)(15,26)(18,21)(19,29)(22,28)(23,41)
        (24,33)(27,32)(30,36)(31,42)(34,37)(35,45)(38,44)(39,54)(40,49)(43,48)(46,51)(47,55)(50,52)(53,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,12)( 7,24)( 8,17)(11,21)(14,20)(15,29)(16,22)(18,25)(19,33)(23,26)
        (27,32)(28,37)(30,36)(31,42)(34,40)(35,45)(38,41)(39,49)(43,48)(44,52)(46,51)(47,56)(50,54)(53,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,21)( 7,31)( 8,17)(11,25)(12,22)(14,20)(15,46)(16,26)(18,29)(19,49)
        (23,39)(24,35)(27,43)(28,40)(30,34)(32,38)(33,50)(36,42)(37,56)(41,53)(44,48)(45,54)(47,52)(51,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,21)( 7,26)( 8,17)(11,23)(12,22)(14,20)(15,31)(16,24)(18,27)(19,35)
        (25,28)(29,34)(30,39)(32,38)(33,44)(36,42)(37,47)(40,43)(41,51)(45,50)(46,54)(48,53)(49,55)(52,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,14)( 3,13)( 4, 9)( 6,12)( 7,29)( 8,17)(10,21)(11,30)(15,20)(16,22)(18,25)(19,38)(23,37)
        (24,33)(26,32)(27,52)(28,41)(31,36)(34,45)(35,53)(39,44)(40,46)(42,49)(43,56)(47,55)(48,51)(50,54),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,14)( 3,13)( 4, 9)( 6,21)( 7,31)( 8,17)(10,23)(11,32)(12,22)(15,20)(16,24)(18,27)(19,40)
        (25,39)(26,35)(28,34)(29,54)(30,43)(33,38)(36,47)(37,55)(41,46)(42,48)(44,51)(45,49)(50,53)(52,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56) ), rec(
      invers := ( 1, 5)( 2,16)( 3,25)( 4,10)( 6,15)( 7,27)( 8,20)( 9,12)(11,13)(14,24)(17,23)(18,36)(19,28)(21,30)
        (22,40)(26,31)(29,32)(33,39)(34,48)(35,41)(37,43)(38,51)(42,44)(45,50)(46,56)(47,52)(49,54)(53,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,16)( 3,25)( 4,10)( 6,15)( 7,27)( 8,20)( 9,12)(11,13)(14,24)(17,23)(18,36)(19,28)(21,30)
        (22,40)(26,31)(29,32)(33,39)(34,48)(35,41)(37,43)(38,52)(42,44)(45,51)(46,56)(47,53)(49,54)(50,55),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56) ), rec(
      invers := ( 1, 5)( 2,15)( 3,23)( 4,10)( 6,14)( 7,34)( 8,19)( 9,11)(12,22)(13,38)(16,21)(17,33)(18,26)(20,30)
        (24,29)(25,42)(27,45)(28,50)(31,37)(32,46)(35,41)(36,55)(39,44)(40,52)(43,49)(47,54)(48,53)(51,56),
      nbP := 56,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10)(11,12,13,14)(15,16,17,18)(19,20,21)(22,23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 3)( 2,12)( 4,10)( 5,29)( 6,16)( 7,11)( 8,18)( 9,33)(13,15)(14,22)(17,26)(19,25)(20,42)(21,37)
        (23,28)(24,45)(27,32)(30,36)(31,46)(34,40)(35,49)(38,41)(39,53)(43,48)(44,54)(47,52)(50,56)(51,55),
      nbP := 56,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17)(18,19,20,21)(22,23,24,25)(26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), 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)(36,49)(37,46)(39,45)(40,50)(43,48)(44,56)(47,53)(51,55)(52,54),
      nbP := 56,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9)(10,11,12,13)(14,15,16,17)(18,19,20,21)(22,23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 3)( 2,12)( 4,10)( 5,35)( 6,16)( 7,11)( 8,19)( 9,38)(13,15)(14,23)(17,31)(18,27)(20,26)(21,53)
        (22,42)(24,30)(25,54)(28,46)(29,45)(32,37)(33,51)(34,47)(36,41)(39,44)(40,52)(43,49)(48,55)(50,56),
      nbP := 56,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ), rec(
      invers := ( 1, 3)( 2,12)( 4,10)( 5,31)( 6,16)( 7,11)( 8,19)( 9,35)(13,15)(14,23)(17,28)(18,27)(20,26)(21,44)
        (22,39)(24,30)(25,47)(29,34)(32,38)(33,48)(36,42)(37,51)(40,43)(41,54)(45,50)(46,55)(49,53)(52,56),
      nbP := 56,
      next := ( 1, 2)( 3, 4, 5, 6)( 7, 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56) ), rec(
      invers := ( 1, 3)( 2,55)( 4,51)( 5,56)( 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)(52,54),
      nbP := 56,
      next := ( 1, 2)( 3, 4, 5)( 6, 7, 8, 9)(10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56) ) ];
