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