return [ rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,52)(16,33)(18,37)
        (19,55)(23,41)(24,39)(26,32)(27,62)(28,46)(30,36)(31,66)(34,48)(35,67)(40,58)(42,47)(43,65)(44,59)(49,54)
        (50,60)(51,64)(53,57)(56,61)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,16)(10,24)(11,21)(13,19)(14,50)(15,32)(17,36)(18,51)
        (22,43)(23,40)(25,31)(26,62)(27,44)(29,35)(30,66)(33,46)(34,67)(38,42)(39,54)(41,58)(45,59)(47,53)(48,56)
        (49,64)(52,57)(55,61)(60,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,56)(23,43)(25,31)(26,62)(27,48)(29,35)(30,66)(33,51)(34,67)(37,42)(38,60)(39,53)(41,46)(44,50)(45,61)
        (49,58)(52,57)(54,64)(59,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,55)(16,33)(18,36)
        (19,59)(23,44)(24,41)(26,32)(27,46)(28,49)(30,35)(31,67)(34,51)(37,43)(38,53)(39,62)(42,65)(45,50)(47,66)
        (52,58)(54,68)(56,61)(57,63)(60,64),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,51)(16,29)(18,32)(19,55)
        (22,28)(23,62)(24,44)(26,31)(27,65)(30,47)(33,39)(34,49)(35,58)(37,43)(38,67)(41,46)(42,64)(45,61)(48,54)
        (50,66)(52,57)(53,59)(56,60)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,58)(23,47)(24,44)(26,31)(27,49)(29,35)(30,63)(33,51)(34,65)(37,43)(38,53)(39,59)(41,46)(42,67)(45,61)
        (50,62)(52,57)(54,66)(56,60)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,23)( 4, 9)( 6,12)( 7,35)( 8,17)(10,20)(11,39)(14,19)(15,34)(16,27)(18,31)(21,26)
        (22,43)(24,30)(25,52)(28,47)(29,55)(32,38)(33,48)(36,42)(37,59)(40,46)(41,62)(44,51)(45,66)(49,61)(50,56)
        (53,58)(54,67)(57,64)(60,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,57)(16,31)(18,35)
        (19,58)(23,43)(25,30)(26,50)(28,34)(29,62)(32,53)(33,65)(36,42)(37,55)(38,59)(40,46)(41,67)(44,49)(45,64)
        (48,52)(51,61)(54,60)(56,66)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,51)(28,34)(29,62)(32,54)(33,65)(36,42)(37,56)(38,59)(40,46)(41,67)(44,50)(45,64)
        (49,53)(52,61)(55,60)(57,66)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,51)(28,34)(29,62)(32,54)(33,65)(36,42)(37,56)(38,59)(40,46)(41,67)(44,49)(45,64)
        (48,53)(52,61)(55,60)(57,66)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,43)(24,39)(26,31)(27,50)(29,35)(30,63)(33,54)(34,65)(38,42)(40,56)(41,60)(44,49)(45,66)(46,57)
        (48,53)(51,62)(52,67)(55,61)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,22)( 4, 9)( 6,12)( 7,33)( 8,17)(10,21)(11,37)(14,20)(15,48)(16,25)(18,29)(19,51)
        (23,28)(24,41)(26,44)(27,59)(30,36)(31,67)(32,54)(34,40)(35,64)(38,43)(39,61)(42,58)(45,50)(46,56)(47,62)
        (49,53)(52,57)(55,66)(60,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,43)(24,40)(26,31)(27,51)(29,35)(30,63)(33,54)(34,66)(37,42)(38,60)(41,56)(44,50)(45,67)(46,57)
        (48,53)(49,65)(52,62)(55,61)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,54)(16,31)(18,35)
        (22,43)(23,39)(25,30)(26,48)(28,34)(29,63)(32,51)(33,65)(37,42)(38,55)(40,58)(41,56)(44,50)(45,67)(46,59)
        (49,62)(52,57)(53,61)(60,66)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), 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)(30,55)(34,43)(41,47)(42,56)(45,48)(46,59)(49,54)(50,63)(52,58)
        (53,67)(57,62)(60,65)(61,68)(64,66),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,33)( 8,17)(10,20)(11,36)(14,19)(15,35)(16,28)(18,32)(21,27)
        (22,47)(23,40)(25,31)(26,51)(29,38)(30,55)(34,39)(37,43)(41,44)(42,56)(45,50)(46,59)(48,54)(49,64)(52,58)
        (53,66)(57,62)(60,63)(61,67)(65,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,33)( 8,16)(10,20)(11,36)(14,19)(15,28)(17,32)(18,44)(21,27)
        (22,55)(23,40)(25,31)(26,59)(29,43)(30,62)(34,39)(35,47)(37,42)(38,54)(41,51)(45,50)(46,63)(48,53)(49,67)
        (52,58)(56,61)(57,68)(60,65)(64,66),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), 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)(26,58)(29,46)(32,38)(33,47)(36,42)(37,62)(40,45)(41,53)(44,50)(48,65)(49,59)(51,57)
        (52,63)(55,61)(56,68)(60,66)(64,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,21)( 4, 9)( 6,12)( 7,32)( 8,14)(10,17)(11,36)(15,29)(16,25)(18,24)(19,51)(20,40)
        (22,28)(23,55)(26,43)(27,56)(30,35)(31,44)(33,39)(34,63)(37,42)(38,50)(41,47)(45,62)(46,59)(48,54)(49,64)
        (52,58)(53,68)(57,61)(60,66)(65,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,24)( 4, 9)( 6,16)( 7,35)( 8,13)(10,20)(11,17)(14,32)(15,28)(18,42)(19,39)(21,27)
        (22,53)(23,43)(25,31)(26,57)(29,45)(30,58)(33,38)(34,46)(36,41)(37,66)(40,49)(44,50)(47,65)(48,61)(51,56)
        (52,67)(54,60)(55,63)(59,64)(62,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,44)(12,21)(14,19)(15,51)(16,29)(18,32)
        (22,40)(23,37)(25,31)(26,58)(27,45)(30,47)(33,39)(34,65)(35,52)(38,55)(41,46)(42,61)(43,56)(48,54)(49,64)
        (50,59)(53,62)(57,66)(60,67)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,32)( 8,17)(10,21)(11,36)(14,20)(15,47)(16,26)(18,29)(19,50)
        (22,28)(23,62)(24,40)(27,43)(30,35)(31,54)(33,39)(34,67)(37,42)(38,61)(41,58)(44,49)(45,52)(46,63)(48,53)
        (51,57)(55,66)(56,64)(59,65)(60,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,51)(16,28)(18,32)(19,52)
        (22,27)(23,58)(24,44)(26,31)(29,47)(30,59)(33,39)(34,65)(35,49)(37,43)(38,66)(41,46)(42,57)(45,54)(48,53)
        (50,62)(55,61)(56,67)(60,64)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,24)( 4, 9)( 6,11)( 7,23)( 8,16)(10,20)(13,19)(14,40)(15,28)(17,32)(18,44)(21,27)
        (22,33)(25,31)(26,51)(29,36)(30,55)(34,54)(35,47)(37,43)(38,65)(39,59)(41,46)(42,49)(45,50)(48,62)(52,58)
        (53,63)(56,61)(57,68)(60,66)(64,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,15)(10,39)(11,21)(13,19)(14,43)(17,24)(18,47)(22,36)
        (23,32)(25,31)(26,59)(27,48)(29,35)(30,60)(33,51)(34,61)(37,42)(38,52)(40,46)(41,64)(44,50)(45,66)(49,55)
        (53,63)(54,57)(56,62)(58,67)(65,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,62)(23,43)(24,39)(26,31)(27,51)(29,35)(30,52)(33,55)(34,65)(38,42)(40,57)(41,63)(44,50)(45,66)(46,58)
        (48,54)(49,67)(53,68)(56,61)(60,64),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,55)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,62)(27,49)(29,35)(30,63)(33,51)(34,66)(37,43)(38,53)(39,56)(42,58)(45,50)(46,65)
        (47,59)(52,57)(54,61)(60,67)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,41)(16,32)(18,36)
        (22,43)(23,39)(25,31)(26,59)(27,51)(29,35)(30,61)(33,55)(34,65)(38,42)(40,56)(44,50)(45,66)(46,57)(48,54)
        (49,67)(52,58)(53,63)(60,64)(62,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,46)(12,21)(14,19)(15,41)(16,32)(18,36)
        (22,43)(23,39)(25,31)(26,59)(27,50)(29,35)(30,61)(33,54)(34,65)(38,42)(40,55)(44,49)(45,56)(47,53)(48,67)
        (51,58)(52,63)(57,66)(60,64)(62,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), 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)(49,59)(52,55)(53,63)
        (57,62)(58,66)(60,65)(61,67)(64,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,35)( 8,17)(10,20)(11,39)(14,19)(15,50)(16,28)(18,31)(21,27)
        (22,58)(23,43)(25,30)(26,59)(29,46)(32,38)(33,63)(34,51)(36,42)(37,65)(40,45)(41,57)(44,54)(47,53)(48,67)
        (49,60)(52,62)(55,61)(56,66)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,27)( 7,16)( 9,20)(10,31)(13,19)(14,42)(15,21)(17,24)(18,46)(22,38)
        (23,35)(25,30)(26,50)(28,34)(29,59)(32,37)(33,57)(36,54)(39,45)(40,62)(41,55)(43,49)(44,63)(47,53)(48,66)
        (51,58)(52,67)(56,60)(61,65)(64,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,16)(10,20)(11,39)(14,19)(15,28)(17,32)(18,47)(21,27)
        (22,58)(23,43)(25,31)(26,62)(29,46)(30,63)(33,38)(34,56)(35,50)(37,42)(40,45)(41,57)(44,54)(48,53)(49,66)
        (51,60)(52,67)(55,61)(59,65)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,59)(23,48)(24,44)(26,31)(27,65)(28,46)(30,35)(33,51)(34,66)(37,43)(38,53)(39,62)(41,47)(42,68)(45,50)
        (52,58)(54,67)(56,61)(57,63)(60,64),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,55)(16,33)(18,36)
        (19,59)(23,48)(24,44)(26,32)(27,65)(28,46)(30,35)(31,66)(34,51)(37,43)(38,53)(39,62)(41,47)(42,68)(45,50)
        (52,58)(54,67)(56,61)(57,63)(60,64),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,35)( 8,17)(10,23)(11,43)(12,21)(14,19)(15,51)(16,28)(18,31)
        (22,39)(24,30)(25,58)(26,44)(29,47)(32,38)(33,62)(34,52)(36,42)(37,65)(40,46)(41,57)(45,54)(48,53)(49,64)
        (50,59)(55,61)(56,66)(60,67)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,51)(16,32)(18,36)
        (19,54)(23,43)(24,40)(26,31)(27,65)(28,45)(30,35)(33,47)(34,66)(38,42)(39,57)(41,61)(46,62)(48,53)(49,59)
        (50,67)(52,56)(55,60)(58,64)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,51)(16,33)(18,36)
        (19,54)(23,43)(24,40)(26,32)(27,65)(28,45)(30,35)(31,66)(34,47)(38,42)(39,57)(41,61)(46,62)(48,53)(49,59)
        (50,67)(52,56)(55,60)(58,64)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,23)(11,46)(12,21)(14,19)(15,54)(16,30)(18,34)
        (22,42)(24,29)(25,61)(26,47)(28,33)(31,50)(32,62)(35,41)(36,65)(37,55)(39,45)(40,66)(43,49)(44,60)(48,57)
        (51,56)(52,68)(53,63)(58,64)(59,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,37)( 8,16)(10,23)(11,20)(13,18)(14,53)(15,30)(17,34)(21,45)
        (22,41)(24,29)(25,61)(26,46)(28,33)(31,49)(32,62)(35,40)(36,54)(38,44)(39,66)(42,48)(43,60)(47,57)(50,56)
        (51,68)(52,63)(55,65)(58,64)(59,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29)
        (30,31,32,33)(34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,37)( 8,16)(10,23)(11,20)(13,18)(14,53)(15,31)(17,34)(21,45)
        (22,41)(24,30)(25,61)(26,46)(28,33)(29,62)(32,49)(35,40)(36,54)(38,44)(39,66)(42,48)(43,60)(47,57)(50,56)
        (51,68)(52,63)(55,65)(58,64)(59,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,24)(11,21)(13,19)(14,54)(15,31)(17,35)(18,55)
        (22,47)(23,43)(25,30)(26,48)(28,34)(29,59)(32,51)(33,62)(36,42)(37,67)(38,56)(40,46)(41,64)(44,50)(45,61)
        (49,58)(52,57)(53,66)(60,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), 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)(18,50)
        (22,34)(25,42)(26,39)(28,33)(29,54)(31,37)(32,62)(35,41)(36,60)(40,57)(43,49)(44,65)(45,58)(47,53)(48,66)
        (51,56)(52,67)(55,61)(59,63)(64,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,35)( 8,17)(10,24)(11,43)(12,22)(14,20)(15,51)(16,28)(18,32)
        (19,54)(23,39)(26,31)(27,44)(29,47)(30,62)(33,38)(34,57)(36,42)(37,67)(40,46)(41,64)(45,61)(48,53)(49,59)
        (50,65)(52,56)(55,60)(58,66)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,23)(10,39)(11,21)(13,19)(14,47)(15,24)(17,27)(18,50)
        (22,35)(25,43)(26,40)(28,34)(29,65)(30,54)(32,38)(33,66)(36,42)(37,60)(41,57)(44,49)(45,63)(46,58)(48,53)
        (51,56)(52,64)(55,61)(59,67)(62,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,19)( 6,31)( 7,15)( 9,23)(10,20)(12,18)(13,47)(14,24)(16,27)(17,50)(21,39)
        (22,35)(25,43)(26,40)(28,34)(29,65)(30,54)(32,38)(33,66)(36,42)(37,60)(41,57)(44,49)(45,63)(46,58)(48,53)
        (51,56)(52,64)(55,61)(59,67)(62,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,54)
        (22,36)(23,33)(26,47)(27,44)(29,35)(30,66)(31,57)(34,39)(37,43)(38,67)(41,46)(42,64)(45,61)(48,53)(49,59)
        (50,62)(52,56)(55,60)(58,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,50)(15,25)(17,28)(18,51)
        (22,36)(23,33)(26,46)(27,43)(29,35)(30,66)(31,54)(34,57)(37,42)(38,58)(40,45)(41,64)(44,61)(47,53)(48,68)
        (49,62)(52,56)(55,65)(59,63)(60,67),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,54)(16,29)(18,32)
        (19,55)(23,40)(25,31)(26,62)(27,47)(30,50)(33,39)(34,65)(35,56)(37,43)(38,66)(41,46)(42,61)(45,49)(48,58)
        (51,57)(52,68)(53,63)(59,64)(60,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), 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)(18,53)
        (22,35)(25,45)(26,42)(28,34)(29,65)(30,54)(32,38)(33,66)(36,41)(37,60)(40,44)(43,57)(46,52)(47,63)(48,58)
        (50,56)(51,64)(55,61)(59,67)(62,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,41)(11,21)(13,19)(14,51)(15,25)(17,28)(18,52)
        (22,40)(23,36)(26,47)(27,44)(29,35)(30,65)(31,55)(33,39)(34,66)(37,43)(38,61)(42,46)(45,58)(48,54)(49,64)
        (50,59)(53,57)(56,62)(60,67)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,41)(11,21)(13,19)(14,51)(15,25)(17,28)(18,52)
        (22,40)(23,36)(26,47)(27,43)(29,35)(30,63)(31,55)(33,39)(34,66)(37,45)(38,61)(42,46)(44,58)(48,54)(49,65)
        (50,59)(53,57)(56,62)(60,67)(64,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,49)(12,21)(14,19)(15,32)(17,36)(18,33)
        (22,48)(23,44)(25,31)(26,61)(27,51)(29,35)(30,65)(34,57)(37,43)(38,67)(39,55)(41,47)(42,63)(45,53)(46,60)
        (50,54)(52,58)(56,66)(59,64)(62,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,49)(12,21)(14,19)(15,32)(17,36)(18,33)
        (22,48)(23,44)(25,31)(26,61)(27,52)(29,35)(30,65)(34,57)(37,43)(38,67)(39,55)(41,47)(42,63)(45,51)(46,60)
        (50,54)(53,58)(56,66)(59,64)(62,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,42)(11,20)(13,18)(14,50)(15,24)(17,27)(21,38)
        (22,35)(25,46)(26,43)(28,34)(29,65)(30,51)(32,37)(33,57)(36,54)(39,45)(40,61)(41,55)(44,58)(47,53)(48,64)
        (49,59)(52,62)(56,66)(60,67)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,35)( 8,16)(10,24)(11,21)(13,19)(14,50)(15,31)(17,34)(18,53)
        (22,42)(23,38)(25,30)(26,43)(28,33)(29,62)(32,46)(36,41)(37,54)(39,57)(40,66)(44,61)(45,58)(47,52)(48,68)
        (49,63)(51,56)(55,65)(59,64)(60,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), 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)(29,48)(32,43)(33,51)(36,42)(37,61)(38,44)(41,47)(45,58)(46,55)(49,54)(50,62)(52,57)
        (53,68)(56,65)(59,64)(60,66)(63,67),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,12)( 3,24)( 4, 9)( 6,16)( 7,32)( 8,13)(10,20)(11,17)(14,31)(15,27)(18,39)(19,35)(21,26)
        (22,54)(23,40)(25,30)(28,43)(29,55)(33,38)(34,44)(36,47)(37,63)(41,50)(42,48)(45,62)(46,58)(49,66)(51,57)
        (52,60)(53,67)(56,61)(59,65)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,23)(10,35)(11,21)(13,19)(14,46)(15,24)(17,27)(18,47)
        (22,31)(25,42)(26,39)(29,34)(30,50)(32,38)(33,59)(36,41)(37,62)(40,54)(43,49)(44,66)(45,55)(48,53)(51,58)
        (52,67)(56,65)(57,63)(60,64)(61,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,19)( 6,28)( 7,15)( 9,23)(10,20)(12,18)(13,43)(14,24)(16,27)(17,47)(21,35)
        (22,31)(25,39)(26,36)(29,34)(30,48)(32,51)(33,59)(37,54)(38,52)(40,46)(41,66)(42,55)(44,50)(45,67)(49,58)
        (53,62)(56,65)(57,63)(60,64)(61,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,51)(29,55)(30,63)(33,39)(34,57)(35,60)(37,43)(38,67)(41,47)(42,65)(45,50)(46,53)
        (49,54)(52,62)(56,61)(58,66)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,65)(27,51)(30,55)(33,39)(34,57)(35,60)(37,43)(38,67)(41,47)(42,64)(45,50)(46,53)
        (49,54)(52,62)(56,61)(58,66)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,57)(23,44)(24,40)(27,32)(28,48)(30,52)(31,63)(34,39)(35,54)(37,43)(38,67)(41,59)(42,65)(46,51)(47,60)
        (49,62)(50,61)(53,58)(55,66)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,30)(18,33)
        (19,57)(23,44)(24,40)(26,32)(27,65)(28,48)(31,52)(34,39)(35,54)(37,43)(38,67)(41,59)(42,64)(46,51)(47,60)
        (49,62)(50,61)(53,58)(55,66)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,54)(16,30)(18,32)
        (19,58)(23,43)(24,39)(26,31)(27,57)(28,50)(33,38)(34,59)(36,42)(37,67)(40,46)(41,65)(44,49)(45,52)(48,53)
        (51,62)(55,61)(56,63)(60,66)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,51)(16,30)(18,32)
        (19,55)(23,43)(24,39)(26,31)(27,54)(28,47)(33,38)(34,58)(36,42)(37,59)(40,62)(41,68)(45,50)(46,63)(48,65)
        (49,64)(52,57)(53,66)(56,61)(60,67),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,47)(12,18)(15,32)(16,29)(19,43)(20,39)
        (22,28)(23,62)(24,50)(26,31)(27,66)(30,54)(33,38)(34,60)(35,55)(37,42)(40,46)(41,61)(44,49)(45,52)(48,53)
        (51,58)(56,64)(57,67)(59,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,37)( 8,14)(10,21)(11,45)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,62)(24,48)(26,32)(27,66)(30,52)(31,67)(34,39)(35,60)(36,53)(38,43)(41,55)(42,61)(46,51)(47,56)
        (49,58)(50,57)(54,64)(59,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,55)(16,32)(18,36)
        (22,44)(23,40)(25,31)(26,66)(27,48)(29,35)(30,67)(33,51)(34,64)(38,43)(39,56)(41,58)(42,53)(45,50)(46,59)
        (49,62)(52,57)(54,61)(60,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), 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)(31,54)(33,58)(34,67)(38,42)(39,59)(41,62)(44,49)(45,52)(46,63)(48,53)
        (51,57)(55,66)(56,64)(60,65)(61,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,33)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,52)(16,29)(18,32)
        (19,56)(23,40)(24,36)(27,31)(28,45)(30,48)(34,39)(35,59)(37,43)(38,63)(41,47)(42,66)(46,51)(49,55)(50,67)
        (53,58)(54,65)(57,61)(60,62)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,44)(12,21)(14,19)(15,42)(16,32)(18,36)
        (22,40)(23,38)(25,31)(26,55)(27,48)(29,35)(30,58)(33,46)(34,62)(39,43)(41,47)(45,51)(49,52)(50,63)(53,57)
        (54,66)(56,61)(59,65)(60,67)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,51)(15,25)(17,28)(18,54)
        (22,40)(23,36)(26,50)(27,46)(29,35)(30,66)(31,55)(33,39)(34,67)(37,58)(38,64)(41,45)(42,59)(44,49)(47,61)
        (48,60)(52,57)(53,62)(56,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,47)(12,21)(14,19)(15,28)(17,32)(18,55)
        (22,44)(23,40)(26,31)(27,50)(29,54)(30,62)(33,39)(34,66)(35,56)(37,43)(38,67)(41,58)(42,64)(45,49)(46,59)
        (48,53)(51,61)(52,60)(57,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,38)( 8,17)(10,24)(11,49)(12,21)(14,19)(15,61)(16,31)(18,35)
        (22,46)(23,42)(25,30)(26,33)(27,53)(29,34)(32,57)(36,41)(37,62)(39,45)(40,63)(43,65)(44,59)(47,52)(48,66)
        (50,56)(51,67)(54,60)(55,68)(58,64),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,58)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,53)(31,59)(33,39)(34,67)(37,61)(38,68)(41,46)(42,62)(44,50)(45,63)
        (48,65)(49,64)(52,57)(54,66)(56,60),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,43)(23,39)(25,30)(26,66)(27,50)(29,34)(32,54)(33,67)(37,42)(38,59)(40,61)(41,56)(44,49)(45,52)(46,62)
        (48,53)(51,65)(55,60)(57,64)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,43)(23,39)(25,30)(26,33)(27,50)(29,34)(32,54)(37,42)(38,59)(40,62)(41,67)(44,49)(45,52)(46,63)(48,53)
        (51,57)(55,61)(56,64)(60,66)(65,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,43)(12,21)(14,19)(15,54)(16,28)(18,31)
        (22,42)(23,38)(25,30)(26,46)(29,50)(32,37)(33,63)(34,55)(36,41)(39,58)(40,64)(44,49)(45,59)(47,53)(48,60)
        (51,57)(52,67)(56,62)(61,66)(65,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,47)(27,43)(30,35)(31,58)(33,39)(34,62)(37,42)(38,65)(41,46)(44,50)(45,66)(48,54)(49,67)
        (52,57)(53,64)(56,60)(59,61)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,48)(15,25)(17,28)(18,51)
        (22,36)(23,32)(26,47)(27,43)(30,35)(31,54)(33,39)(34,63)(37,42)(38,65)(41,46)(44,58)(45,66)(49,53)(50,59)
        (52,57)(55,62)(56,60)(61,67)(64,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,49)(12,21)(14,19)(15,57)(16,32)(18,36)
        (22,45)(23,42)(25,31)(26,62)(27,53)(29,35)(30,63)(33,47)(34,65)(37,41)(38,58)(40,44)(43,59)(46,52)(48,60)
        (50,56)(51,66)(54,61)(55,67)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,58)(16,32)(18,36)
        (22,46)(23,42)(25,31)(26,63)(27,51)(29,35)(30,64)(33,54)(34,66)(37,41)(38,59)(40,45)(43,56)(44,60)(47,53)
        (48,67)(49,57)(52,62)(55,61)(65,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,35)( 8,17)(10,24)(11,42)(12,22)(14,20)(15,54)(16,28)(18,32)
        (19,58)(23,38)(26,31)(27,46)(29,50)(30,47)(33,37)(34,61)(36,41)(39,45)(40,62)(43,49)(44,65)(48,53)(51,57)
        (52,66)(55,60)(56,67)(59,64)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,49)(16,33)(18,37)
        (19,45)(23,43)(24,41)(26,32)(27,58)(28,51)(30,36)(31,62)(34,53)(35,65)(38,42)(39,46)(44,50)(48,54)(52,55)
        (56,61)(57,66)(59,64)(60,67)(63,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64)(65,66,67,68) ), 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)(26,59)(27,47)(29,35)(30,60)(33,50)(34,62)(37,41)(38,51)(40,45)(43,54)(44,52)(48,58)(49,55)
        (53,66)(56,64)(57,67)(61,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,29)(18,32)
        (19,58)(23,40)(25,31)(26,54)(27,47)(30,51)(33,39)(34,65)(35,61)(37,43)(38,66)(41,46)(42,67)(45,50)(48,62)
        (49,68)(52,57)(53,63)(56,60)(59,64),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,44)(15,21)(17,24)(18,47)(22,40)
        (23,36)(25,31)(26,62)(27,51)(29,35)(30,66)(33,39)(34,67)(37,55)(38,64)(41,46)(42,49)(43,56)(45,50)(48,54)
        (52,59)(53,57)(58,61)(60,65)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68) ), rec(
      invers := ( 1, 5)( 2,13)( 3,20)( 4, 9)( 6,12)( 7,32)( 8,14)(10,17)(11,36)(15,28)(16,24)(18,23)(19,39)(21,27)
        (22,48)(25,43)(26,51)(29,35)(30,56)(31,44)(33,38)(34,59)(37,42)(40,47)(41,60)(45,55)(46,52)(49,54)(50,63)
        (53,66)(57,62)(58,67)(61,65)(64,68),
      nbP := 68,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68) ), 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)(26,57)(27,50)(29,35)(30,58)(33,38)(34,61)(37,42)(40,46)(41,62)(44,49)(45,65)(48,53)(51,54)
        (52,66)(55,60)(56,67)(59,64)(63,68),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68) ), 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)(29,54)(33,38)(36,42)(37,55)(40,46)(41,58)(44,47)(45,62)(48,53)(49,63)(51,57)
        (52,67)(56,61)(59,65)(60,68)(64,66),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68) ), 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)(37,55)(38,47)(41,46)(44,50)(45,56)(48,51)(49,59)(52,58)(53,67)
        (54,63)(57,62)(60,65)(61,68)(64,66),
      nbP := 68,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68) ) ];
