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