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