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