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