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