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