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