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)(15,53)(16,33)(18,37)
        (19,57)(24,45)(26,32)(27,47)(28,46)(30,36)(31,43)(34,49)(35,39)(38,44)(40,61)(42,48)(50,56)(51,70)(52,62)
        (54,60)(55,67)(58,64)(59,72)(63,65)(66,69)(68,71),
      nbP := 72,
      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)(69,70)(71,72) ), 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)(27,51)(28,43)(30,36)(31,55)(35,46)(39,41)(44,47)(45,56)(48,54)(49,65)(50,59)(52,58)
        (53,69)(57,62)(60,63)(61,70)(64,68)(66,72)(67,71),
      nbP := 72,
      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)(69,70,71,72) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,26)(11,25)(12,22)(14,20)(15,58)(16,33)(18,37)
        (19,55)(23,49)(24,45)(27,32)(28,50)(30,36)(31,66)(34,53)(35,69)(38,44)(39,60)(40,59)(42,48)(43,71)(46,63)
        (47,68)(51,65)(52,64)(54,57)(56,62)(61,70)(67,72),
      nbP := 72,
      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)(69,70,71,72) ), 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)(19,53)
        (23,41)(24,37)(27,45)(28,42)(30,36)(31,72)(32,57)(34,40)(35,69)(38,61)(39,66)(43,63)(44,62)(46,52)(47,59)
        (48,64)(50,56)(51,55)(54,60)(58,67)(65,70)(68,71),
      nbP := 72,
      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)(67,68,69,70)(71,72) ), 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)(45,64)(49,63)(50,59)(52,58)
        (53,72)(54,67)(57,62)(60,68)(61,71)(65,70)(66,69),
      nbP := 72,
      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)(67,68,69,70)(71,72) ), rec(
      invers := ( 1, 5)( 2,15)( 3,72)( 4,10)( 6,14)( 7,27)( 8,19)( 9,11)(12,71)(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)(41,59)(42,51)(45,50)(48,54)(49,60)(52,55)
        (53,63)(56,62)(57,70)(58,69)(61,66)(64,68)(65,67),
      nbP := 72,
      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)(67,68,69,70)(71,72) ), 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)(21,47)
        (22,39)(24,30)(25,51)(29,34)(32,38)(33,52)(36,42)(37,55)(40,43)(41,59)(44,50)(45,64)(46,63)(48,54)(49,68)
        (53,58)(56,62)(57,69)(60,66)(61,72)(65,67)(70,71),
      nbP := 72,
      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)(67,68,69,70)(71,72) ), 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)(69,72)(70,71),
      nbP := 72,
      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)(67,68,69,70)(71,72) ) ];
