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