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