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