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