return [ rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,26)(11,25)(12,22)(14,20)(15,55)(16,33)(18,38)
        (19,37)(23,49)(24,45)(27,32)(28,50)(30,36)(31,62)(34,53)(35,65)(39,44)(40,56)(42,48)(43,67)(46,59)(47,64)
        (51,61)(52,60)(54,58)(57,66)(63,68),
      nbP := 68,
      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)(55,56,57,58)(59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,21)( 7,33)( 8,17)(11,25)(12,22)(14,20)(15,49)(16,26)(18,29)(19,54)
        (23,41)(24,37)(27,45)(28,42)(30,36)(31,61)(32,51)(34,40)(35,65)(38,55)(39,60)(43,57)(44,56)(46,52)(47,64)
        (48,58)(50,53)(59,66)(62,68)(63,67),
      nbP := 68,
      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)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,10)( 4, 9)( 6,21)( 7,33)( 8,17)(11,25)(12,22)(14,20)(15,45)(16,26)(18,29)(19,49)
        (23,38)(24,37)(27,41)(28,39)(30,36)(31,59)(32,53)(34,40)(35,44)(42,48)(43,60)(46,52)(47,63)(50,56)(51,68)
        (54,57)(55,65)(58,62)(61,66)(64,67),
      nbP := 68,
      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)(57,58)
        (59,60,61,62)(63,64,65,66)(67,68) ), 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)(37,47)(40,43)(41,51)(45,50)(46,55)(48,54)(49,60)(52,58)(53,63)
        (56,59)(57,68)(61,66)(62,65)(64,67),
      nbP := 68,
      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)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68) ), 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)(39,49)(40,42)(43,45)(46,52)(47,57)(48,50)(51,53)(54,60)(55,65)
        (56,58)(59,61)(62,68)(63,67)(64,66),
      nbP := 68,
      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)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), 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)(53,58)(54,55)(56,59)
        (57,60)(61,66)(62,63)(64,67)(65,68),
      nbP := 68,
      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)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68) ) ];
