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