return [ rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,54)(16,28)(18,32)
        (19,58)(23,43)(24,39)(27,31)(29,51)(30,48)(33,38)(34,62)(36,42)(37,71)(40,66)(41,73)(44,50)(45,56)(46,67)
        (49,53)(52,57)(55,61)(59,65)(60,68)(63,70)(64,75)(69,74)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,58)(16,30)(18,34)
        (22,46)(23,42)(25,29)(26,50)(28,33)(31,54)(32,51)(35,41)(36,73)(37,59)(39,45)(40,74)(43,62)(44,75)(48,53)
        (49,63)(52,68)(55,61)(56,72)(57,66)(60,69)(64,67)(65,71)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,52)(16,30)(18,33)
        (19,53)(23,44)(24,41)(26,32)(27,63)(28,46)(31,48)(34,40)(35,70)(36,56)(38,43)(39,74)(42,59)(47,60)(49,55)
        (50,69)(51,64)(54,58)(57,67)(61,66)(62,75)(65,72)(68,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,52)(16,29)(18,32)
        (19,55)(23,40)(25,31)(26,63)(27,45)(30,48)(33,39)(34,70)(35,56)(37,43)(38,74)(41,47)(42,62)(46,59)(49,54)
        (50,69)(51,64)(53,58)(57,67)(60,66)(61,75)(65,72)(68,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ), 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)(18,55)
        (22,44)(23,40)(25,31)(26,66)(27,45)(30,48)(33,39)(34,71)(35,58)(37,43)(38,74)(41,47)(42,65)(46,62)(49,54)
        (50,60)(51,67)(53,57)(56,61)(59,70)(63,69)(64,75)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,58)(23,44)(24,40)(26,31)(27,70)(28,47)(30,35)(33,51)(34,71)(38,43)(39,62)(41,49)(42,69)(46,50)(48,66)
        (52,57)(53,60)(54,74)(56,61)(59,65)(63,68)(64,75)(67,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,62)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,69)(27,54)(29,34)(32,58)(33,70)(36,42)(37,60)(38,63)(40,46)(41,74)(44,50)(45,68)
        (48,53)(49,56)(52,57)(55,65)(59,64)(61,73)(66,72)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,47)(24,43)(26,31)(27,69)(28,51)(30,35)(33,55)(34,70)(37,42)(38,57)(40,46)(41,74)(44,62)(45,68)
        (49,54)(50,63)(52,65)(53,64)(56,61)(58,73)(66,72)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,55)(16,31)(18,35)
        (19,58)(23,43)(25,30)(26,48)(28,34)(29,63)(32,51)(33,66)(36,42)(37,72)(38,59)(40,46)(41,68)(44,50)(45,65)
        (49,62)(52,57)(53,76)(54,70)(56,61)(60,74)(64,69)(67,73)(71,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,24)(11,21)(13,19)(14,55)(15,31)(17,35)(18,58)
        (22,47)(23,43)(25,30)(26,48)(28,34)(29,66)(32,51)(33,69)(36,42)(37,75)(38,61)(40,46)(41,71)(44,50)(45,68)
        (49,65)(52,57)(53,63)(54,73)(56,60)(59,64)(62,74)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,43)(24,40)(26,31)(27,51)(29,35)(30,64)(33,55)(34,67)(37,42)(38,61)(41,57)(44,50)(45,68)(46,58)
        (48,54)(49,71)(52,63)(53,74)(56,62)(65,70)(66,75)(69,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,55)(15,32)(17,36)(18,58)
        (22,48)(23,44)(25,31)(26,66)(27,49)(29,35)(30,69)(33,52)(34,73)(37,43)(38,75)(39,61)(41,47)(42,71)(45,51)
        (46,68)(50,65)(53,57)(54,63)(56,60)(59,64)(62,74)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), 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)(26,67)(27,51)(29,35)(30,68)(33,54)(34,70)(37,41)(38,59)(40,45)(43,62)(44,60)(47,53)
        (48,72)(49,63)(52,66)(55,61)(56,65)(57,74)(64,75)(69,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,20)(11,40)(14,19)(15,35)(16,28)(18,32)(21,27)
        (22,55)(23,44)(25,31)(26,59)(29,47)(30,63)(33,39)(34,48)(37,43)(38,70)(41,46)(42,54)(45,51)(49,73)(50,66)
        (52,58)(53,71)(56,62)(57,76)(60,65)(61,68)(64,69)(67,74)(72,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,23)(11,47)(12,21)(14,19)(15,38)(16,31)(18,35)
        (22,43)(24,30)(25,59)(26,48)(28,34)(29,63)(32,51)(33,66)(36,42)(37,52)(40,46)(41,70)(44,50)(45,58)(49,55)
        (53,73)(54,67)(56,62)(57,71)(60,65)(61,76)(64,69)(68,74)(72,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,20)(13,18)(14,38)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,59)(26,48)(28,34)(29,63)(32,51)(33,64)(36,42)(37,52)(40,46)(41,70)(44,50)(45,58)(49,55)
        (53,73)(54,67)(56,62)(57,71)(60,66)(61,76)(65,69)(68,74)(72,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,20)(13,18)(14,38)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,59)(26,48)(28,34)(29,63)(32,51)(33,66)(36,42)(37,52)(40,46)(41,73)(44,50)(45,58)(49,55)
        (53,76)(54,69)(56,62)(57,74)(60,65)(61,71)(64,68)(67,72)(70,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,47)(27,43)(30,35)(31,56)(33,59)(34,64)(37,42)(38,60)(40,46)(41,72)(44,50)(45,74)(48,54)
        (49,69)(52,58)(53,66)(57,63)(61,71)(62,67)(65,70)(68,75)(73,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,60)(23,41)(24,37)(27,32)(28,48)(30,52)(31,49)(35,40)(36,63)(38,67)(39,64)(42,47)(43,72)(44,68)(46,51)
        (50,73)(53,59)(54,69)(55,71)(57,62)(58,75)(61,66)(65,76)(70,74),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,23)(11,47)(12,21)(14,19)(15,55)(16,31)(18,35)
        (22,43)(24,30)(25,62)(26,48)(28,34)(29,63)(32,51)(33,66)(36,42)(37,70)(38,56)(40,46)(41,73)(44,50)(45,61)
        (49,58)(52,57)(53,72)(54,67)(59,65)(60,74)(64,69)(68,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,47)(16,28)(18,32)(19,51)
        (22,27)(23,41)(25,31)(26,38)(29,43)(30,34)(33,39)(35,55)(37,42)(44,50)(45,63)(46,56)(48,54)(49,67)(52,58)
        (53,71)(57,59)(60,66)(61,74)(62,72)(64,70)(65,75)(68,73)(69,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), 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)(22,40)
        (23,36)(25,31)(26,62)(27,51)(29,35)(30,63)(33,39)(34,66)(37,54)(38,70)(41,46)(42,55)(44,50)(45,74)(48,53)
        (49,61)(52,58)(56,73)(57,71)(59,65)(60,75)(64,69)(67,72)(68,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,35)(23,31)(26,47)(27,43)(30,34)(32,38)(33,56)(36,42)(37,59)(40,46)(41,63)(44,50)(45,67)(48,54)(49,70)
        (52,58)(53,74)(57,62)(60,66)(61,75)(64,69)(65,72)(68,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,54)(16,28)(18,32)
        (19,58)(23,43)(24,39)(27,31)(29,50)(30,47)(33,38)(34,62)(36,42)(37,63)(40,66)(41,70)(44,49)(45,67)(48,53)
        (51,57)(52,68)(55,61)(56,74)(59,65)(60,75)(64,72)(69,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,24)( 4, 9)( 6,11)( 7,23)( 8,16)(10,20)(13,19)(14,39)(15,27)(17,31)(18,43)(21,26)
        (22,32)(25,30)(28,35)(29,33)(34,47)(36,42)(37,55)(38,48)(40,46)(41,59)(44,50)(45,63)(49,51)(52,58)(53,71)
        (54,64)(56,62)(57,74)(60,66)(61,70)(65,67)(68,73)(69,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,42)(12,21)(14,19)(15,40)(16,32)(18,36)
        (22,33)(23,39)(25,31)(26,54)(27,46)(29,35)(30,58)(34,45)(38,41)(43,49)(44,59)(47,50)(48,62)(51,57)(52,71)
        (53,66)(55,61)(56,73)(60,65)(63,69)(64,74)(67,70)(68,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,36)( 8,17)(10,23)(11,42)(12,21)(14,19)(15,40)(16,31)(18,35)
        (22,38)(24,30)(25,54)(26,46)(28,34)(29,58)(32,44)(33,62)(37,41)(39,45)(43,49)(47,50)(48,63)(51,57)(52,71)
        (53,66)(55,61)(56,73)(59,65)(60,74)(64,69)(67,70)(68,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,45)(16,33)(18,37)
        (19,55)(23,43)(24,40)(26,32)(27,61)(28,51)(30,36)(31,65)(34,49)(35,69)(39,42)(41,56)(44,50)(46,57)(48,54)
        (52,58)(53,70)(59,64)(60,73)(62,68)(63,74)(66,72)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), 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)
        (19,60)(23,43)(24,39)(26,31)(27,51)(29,35)(30,67)(33,55)(34,69)(38,42)(40,63)(41,61)(44,50)(45,74)(46,64)
        (48,54)(49,75)(52,66)(53,71)(56,62)(57,65)(58,73)(68,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,47)(15,25)(17,27)(18,51)
        (22,35)(23,31)(26,43)(29,34)(30,55)(32,59)(33,56)(36,42)(37,66)(38,60)(40,46)(41,67)(44,50)(45,70)(48,54)
        (49,71)(52,58)(53,74)(57,65)(61,62)(63,69)(64,75)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,20)( 4, 9)( 6,12)( 7,28)( 8,14)(10,16)(11,32)(15,24)(17,23)(18,43)(19,36)(21,27)
        (22,47)(25,31)(26,51)(29,35)(30,54)(33,39)(34,58)(37,40)(38,62)(41,46)(42,66)(44,50)(45,70)(48,53)(49,73)
        (52,57)(55,61)(56,74)(59,65)(60,75)(63,68)(64,72)(67,69)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,62)(23,44)(24,41)(26,31)(27,73)(28,52)(30,35)(33,55)(34,74)(37,43)(38,57)(39,63)(42,65)(45,51)(46,71)
        (47,66)(49,54)(50,72)(53,69)(56,61)(58,68)(60,64)(67,75)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,46)(24,43)(26,31)(27,51)(29,35)(30,66)(33,54)(34,69)(37,42)(38,56)(40,45)(41,74)(44,61)(47,53)
        (48,68)(49,62)(52,65)(55,60)(57,73)(63,71)(64,75)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), 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)(26,59)(27,51)(29,35)(30,62)(33,38)(34,57)(37,54)(40,46)(41,66)(42,55)(44,50)(45,70)(48,53)
        (49,73)(52,58)(56,63)(60,65)(61,74)(64,69)(67,72)(68,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,54)(16,28)(18,32)
        (19,58)(23,42)(24,38)(27,31)(29,50)(30,47)(33,37)(34,62)(36,41)(39,66)(40,63)(43,49)(44,71)(45,67)(48,72)
        (51,57)(52,68)(53,70)(55,61)(56,74)(59,65)(60,75)(64,76)(69,73),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,55)(16,28)(18,32)
        (19,59)(23,43)(24,39)(27,31)(29,51)(30,48)(33,38)(34,74)(35,60)(37,42)(40,63)(41,75)(44,50)(45,68)(46,64)
        (49,69)(52,58)(53,65)(54,67)(56,62)(57,73)(61,70)(66,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,54)(16,31)(18,35)
        (22,43)(23,40)(25,30)(26,62)(27,48)(29,34)(32,50)(33,63)(36,42)(37,73)(38,55)(41,58)(44,49)(45,65)(46,59)
        (51,57)(52,72)(53,66)(56,70)(60,68)(61,74)(64,69)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,54)(16,32)(18,35)
        (22,43)(23,40)(25,31)(26,62)(27,48)(29,34)(30,66)(33,50)(36,42)(37,73)(38,55)(41,58)(44,49)(45,65)(46,59)
        (51,57)(52,72)(53,67)(56,70)(60,64)(61,74)(63,69)(68,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,35)( 8,17)(10,21)(11,39)(14,20)(15,50)(16,28)(18,32)(19,53)
        (22,27)(23,65)(24,43)(26,31)(29,46)(30,66)(33,38)(34,57)(36,42)(37,74)(40,45)(41,64)(44,61)(47,52)(48,55)
        (49,69)(51,56)(54,60)(58,73)(59,70)(62,68)(63,75)(67,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), 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)(27,63)(28,46)(30,36)(31,67)(34,48)(35,70)(40,59)(42,47)(43,66)(44,60)(49,54)
        (50,57)(51,73)(53,58)(56,62)(61,74)(64,69)(65,75)(68,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,46)(12,21)(14,19)(15,40)(16,32)(18,35)
        (22,42)(23,38)(25,31)(26,61)(27,50)(29,34)(30,65)(33,54)(37,41)(39,55)(43,49)(44,69)(45,56)(47,53)(48,70)
        (51,58)(52,73)(57,66)(59,64)(60,74)(62,68)(63,75)(67,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), 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)(58,67)(60,66)(61,72)(64,70)(65,74)(68,71)(69,75)(73,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,52)(16,28)(18,32)
        (19,56)(23,40)(26,31)(27,45)(29,48)(30,63)(33,39)(34,74)(35,59)(37,43)(38,68)(41,47)(42,65)(46,62)(49,55)
        (50,72)(51,66)(53,58)(54,73)(57,61)(60,70)(64,69)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,52)(15,28)(17,32)(18,56)
        (22,44)(23,40)(26,31)(27,45)(29,48)(30,64)(33,39)(34,74)(35,59)(37,43)(38,69)(41,47)(42,66)(46,63)(49,55)
        (50,73)(51,67)(53,58)(54,61)(57,62)(60,71)(65,70)(68,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), 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)(18,58)
        (22,47)(23,43)(25,30)(26,48)(28,34)(29,63)(32,51)(33,66)(36,42)(37,72)(38,59)(40,46)(41,68)(44,50)(45,65)
        (49,62)(52,57)(53,70)(55,61)(56,76)(60,74)(64,69)(67,73)(71,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,53)(16,32)(18,36)
        (19,56)(23,44)(25,31)(26,63)(27,49)(29,35)(30,66)(33,52)(34,70)(37,43)(38,72)(39,59)(41,47)(42,68)(45,51)
        (46,65)(50,62)(54,58)(55,74)(57,61)(60,75)(64,69)(67,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,39)(14,20)(15,51)(16,28)(18,32)(19,54)
        (22,27)(23,62)(24,43)(26,31)(29,47)(30,63)(33,38)(34,70)(35,55)(37,42)(40,46)(41,71)(44,58)(45,74)(48,53)
        (49,69)(50,64)(52,57)(56,66)(59,65)(60,68)(61,75)(67,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,33)( 8,17)(10,21)(11,36)(14,20)(15,48)(16,29)(18,32)(19,51)
        (22,28)(23,62)(24,40)(26,31)(27,63)(30,44)(34,39)(35,55)(37,43)(38,67)(41,58)(42,70)(45,50)(46,73)(47,64)
        (49,54)(52,57)(53,74)(56,66)(59,65)(60,76)(61,71)(68,72)(69,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,32)( 8,17)(10,21)(11,36)(14,20)(15,48)(16,26)(18,29)(19,52)
        (22,28)(23,47)(24,40)(27,44)(30,35)(31,55)(33,39)(34,64)(37,43)(38,66)(41,59)(42,70)(45,51)(46,60)(49,54)
        (50,73)(53,58)(56,63)(57,74)(61,76)(62,71)(65,69)(67,72)(68,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,44)(25,31)(26,66)(27,51)(29,35)(30,70)(33,54)(34,71)(37,43)(38,73)(39,60)(41,47)(42,74)(45,50)
        (46,65)(49,53)(52,62)(55,61)(56,76)(57,68)(63,69)(64,75)(67,72),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,17)( 7,35)( 8,14)(10,20)(11,43)(12,18)(15,32)(16,28)(19,39)(21,27)
        (22,57)(23,46)(25,31)(26,61)(29,49)(30,65)(33,38)(34,50)(36,42)(37,70)(40,45)(41,56)(44,48)(47,53)(51,69)
        (52,66)(54,60)(55,71)(58,64)(59,75)(62,68)(63,76)(67,73)(72,74),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,47)(24,43)(26,31)(27,69)(28,51)(30,35)(33,54)(34,70)(37,42)(38,62)(40,46)(41,74)(44,50)(45,68)
        (49,53)(52,65)(55,61)(56,76)(57,71)(60,64)(63,73)(66,72)(67,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,58)(16,33)(18,36)
        (19,59)(23,47)(24,43)(26,32)(27,69)(28,51)(30,35)(31,70)(34,54)(37,42)(38,62)(40,46)(41,74)(44,50)(45,68)
        (49,53)(52,65)(55,61)(56,76)(57,71)(60,64)(63,73)(66,72)(67,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,61)(23,47)(24,43)(26,31)(27,69)(28,51)(30,35)(33,54)(34,70)(37,42)(38,62)(40,46)(41,74)(44,49)(45,68)
        (48,53)(52,65)(55,60)(56,76)(57,71)(59,64)(63,73)(66,72)(67,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,58)(16,33)(18,36)
        (19,61)(23,47)(24,43)(26,32)(27,69)(28,51)(30,35)(31,70)(34,54)(37,42)(38,62)(40,46)(41,74)(44,49)(45,68)
        (48,53)(52,65)(55,60)(56,76)(57,71)(59,64)(63,73)(66,72)(67,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,62)(23,48)(24,44)(26,31)(27,52)(29,35)(30,66)(33,55)(34,69)(37,43)(38,75)(39,63)(41,47)(42,71)(45,51)
        (46,68)(50,54)(53,65)(56,61)(57,73)(59,64)(60,74)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,62)(23,48)(24,44)(26,31)(27,52)(29,35)(30,66)(33,55)(34,69)(37,43)(38,75)(39,63)(41,47)(42,71)(45,50)
        (46,68)(49,54)(53,65)(56,61)(57,73)(59,64)(60,74)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,50)(15,25)(17,28)(18,54)
        (22,39)(23,35)(26,46)(27,42)(29,34)(30,58)(32,38)(33,67)(36,44)(37,65)(41,45)(43,62)(47,53)(48,70)(49,63)
        (51,57)(52,71)(55,61)(56,74)(59,66)(60,75)(64,68)(69,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,24)( 4, 9)( 6,19)( 7,35)( 8,16)(10,23)(11,20)(13,18)(14,51)(15,27)(17,31)(21,43)
        (22,39)(25,30)(26,44)(28,47)(29,59)(32,38)(33,66)(34,52)(36,42)(37,69)(40,54)(41,73)(45,58)(46,55)(48,53)
        (49,68)(50,62)(56,61)(57,74)(60,65)(63,71)(64,75)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), 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)(23,43)(25,31)(26,70)(27,51)(29,35)(30,71)(33,54)(34,72)(37,42)(38,59)(40,45)(41,75)(44,62)(47,53)
        (48,69)(49,63)(52,66)(55,61)(56,64)(57,68)(60,74)(65,76)(67,73),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,46)(24,43)(26,31)(27,74)(28,51)(30,35)(33,54)(34,75)(37,42)(38,62)(40,45)(41,63)(44,66)(47,53)
        (48,73)(49,67)(52,70)(55,61)(56,68)(57,72)(60,65)(64,69)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,23)( 4, 9)( 6,12)( 7,34)( 8,17)(10,20)(11,38)(14,19)(15,50)(16,27)(18,30)(21,26)
        (22,42)(24,29)(25,55)(28,46)(31,37)(32,59)(33,51)(35,41)(36,62)(39,45)(40,63)(43,54)(44,66)(47,53)(48,73)
        (49,56)(52,58)(57,70)(60,65)(61,74)(64,69)(67,72)(68,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,25)( 7,16)( 9,20)(10,28)(13,19)(14,40)(15,21)(17,24)(18,41)(22,36)
        (23,32)(26,31)(27,44)(29,35)(30,53)(33,48)(34,56)(37,43)(38,66)(39,49)(42,47)(45,52)(46,67)(50,63)(51,60)
        (54,59)(55,70)(57,62)(58,76)(61,73)(64,69)(65,74)(68,72)(71,75),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,25)( 7,16)( 9,20)(10,28)(13,19)(14,40)(15,21)(17,24)(18,44)(22,36)
        (23,32)(26,31)(27,45)(29,35)(30,53)(33,48)(34,56)(37,43)(38,66)(39,49)(41,47)(42,69)(46,52)(50,63)(51,60)
        (54,59)(55,70)(57,62)(58,76)(61,73)(64,68)(65,74)(67,72)(71,75),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,31)(13,19)(14,43)(15,21)(17,24)(18,44)(22,39)
        (23,35)(25,30)(26,58)(27,47)(29,34)(32,38)(33,59)(36,51)(37,62)(40,46)(41,70)(42,52)(45,50)(48,55)(49,71)
        (53,69)(54,66)(56,61)(57,73)(60,65)(63,68)(64,74)(67,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,62)(23,47)(24,44)(26,32)(27,73)(28,54)(30,36)(31,74)(34,57)(35,75)(38,43)(39,68)(40,63)(42,46)(45,65)
        (48,53)(49,72)(50,66)(52,56)(55,69)(58,64)(59,67)(60,71)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,58)(16,33)(18,37)
        (19,59)(23,44)(24,41)(26,32)(27,73)(28,51)(30,36)(31,74)(34,54)(35,75)(39,43)(40,62)(42,65)(45,50)(46,72)
        (47,66)(49,53)(52,69)(55,61)(56,67)(57,71)(60,64)(63,68)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,33)( 8,17)(10,24)(11,40)(12,22)(14,20)(15,51)(16,29)(18,32)
        (19,52)(23,36)(25,31)(26,63)(27,44)(30,47)(34,39)(35,55)(37,43)(38,67)(41,46)(42,70)(45,59)(48,54)(49,73)
        (50,64)(53,58)(56,66)(57,74)(60,65)(61,76)(62,71)(68,72)(69,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,23)(10,39)(11,21)(13,19)(14,50)(15,24)(17,27)(18,51)
        (22,35)(25,46)(26,43)(28,34)(29,66)(30,54)(32,38)(33,67)(36,42)(37,70)(40,45)(41,74)(44,58)(47,53)(48,56)
        (49,59)(52,57)(55,62)(60,65)(61,75)(63,69)(64,72)(68,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,58)(16,29)(18,33)
        (19,62)(23,44)(24,40)(27,32)(28,51)(30,55)(31,70)(34,39)(35,65)(37,43)(38,75)(41,47)(42,72)(45,50)(46,53)
        (49,54)(52,69)(56,61)(57,73)(59,64)(60,67)(63,68)(66,74)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,60)(23,45)(24,41)(27,32)(28,49)(30,53)(31,67)(34,40)(35,74)(36,61)(38,44)(39,72)(42,63)(43,69)(47,52)
        (48,64)(50,66)(51,65)(54,59)(55,70)(57,62)(58,76)(68,73)(71,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), 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)(18,57)
        (22,48)(23,44)(25,31)(26,69)(27,52)(29,35)(30,73)(33,56)(34,61)(37,43)(38,75)(39,59)(41,47)(42,71)(45,63)
        (46,68)(50,55)(51,64)(53,66)(54,65)(58,62)(60,74)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,56)(23,44)(24,40)(26,31)(27,70)(28,48)(30,35)(33,51)(34,71)(38,43)(39,59)(41,62)(42,74)(45,50)(46,63)
        (49,66)(52,58)(53,76)(54,68)(57,61)(60,73)(64,69)(65,75)(67,72),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,20)( 7,34)( 8,17)(10,23)(11,42)(12,21)(14,19)(15,54)(16,27)(18,31)
        (22,38)(25,30)(26,46)(28,50)(29,59)(32,37)(33,55)(35,41)(36,66)(39,45)(40,69)(43,49)(44,73)(47,58)(48,74)
        (51,57)(52,68)(53,62)(56,65)(60,64)(61,75)(63,71)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,45)(12,21)(14,19)(15,55)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,48)(29,51)(30,63)(33,39)(34,69)(35,56)(37,43)(38,70)(41,58)(42,73)(46,50)(47,59)
        (49,62)(52,57)(53,72)(54,66)(60,65)(61,74)(64,68)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,46)(12,21)(14,19)(15,54)(16,28)(18,32)
        (22,43)(23,39)(26,31)(27,47)(29,50)(30,63)(33,38)(34,55)(36,42)(37,70)(40,58)(41,73)(44,49)(45,59)(48,62)
        (51,57)(52,72)(53,66)(56,69)(60,65)(61,74)(64,68)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), 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)(18,52)
        (22,40)(23,36)(26,47)(27,44)(29,35)(30,69)(31,55)(33,39)(34,73)(37,58)(38,74)(41,46)(42,59)(45,62)(48,54)
        (49,68)(50,63)(53,57)(56,66)(60,65)(61,75)(64,71)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,52)(15,25)(17,28)(18,55)
        (22,40)(23,36)(26,48)(27,45)(29,35)(30,66)(31,56)(33,39)(34,70)(37,43)(38,71)(41,47)(42,74)(46,59)(49,54)
        (50,65)(51,60)(53,58)(57,63)(61,68)(62,75)(64,69)(67,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,57)(16,31)(18,34)
        (22,46)(23,42)(25,30)(26,50)(28,33)(29,66)(32,53)(35,41)(36,70)(37,58)(39,45)(40,71)(43,61)(44,73)(48,52)
        (49,62)(51,65)(54,60)(55,75)(56,67)(59,69)(63,68)(64,74)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,57)(16,32)(18,35)
        (19,58)(23,46)(24,42)(26,31)(27,50)(29,34)(30,70)(33,53)(36,41)(37,61)(39,45)(40,62)(43,65)(44,73)(47,52)
        (48,66)(51,69)(54,60)(55,75)(56,71)(59,64)(63,76)(67,72)(68,74),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,62)(23,47)(24,43)(26,31)(27,34)(28,51)(30,35)(33,54)(37,42)(38,63)(40,46)(41,71)(44,66)(45,73)(48,53)
        (49,67)(52,57)(55,61)(56,68)(59,65)(60,75)(64,70)(69,74)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,17)( 7,35)( 8,14)(10,20)(11,43)(12,18)(15,31)(16,27)(19,39)(21,26)
        (22,58)(23,47)(25,30)(28,51)(29,59)(32,38)(33,65)(34,52)(36,42)(37,69)(40,46)(41,70)(44,50)(45,73)(48,54)
        (49,74)(53,62)(55,61)(56,67)(57,75)(60,64)(63,68)(66,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,50)(15,25)(17,28)(18,54)
        (22,39)(23,35)(26,47)(27,44)(29,34)(30,55)(32,38)(33,63)(36,42)(37,66)(40,46)(41,70)(45,58)(48,53)(49,59)
        (51,57)(52,74)(56,62)(60,73)(61,71)(64,69)(65,75)(67,72)(68,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,20)( 4, 9)( 6,12)( 7,27)( 8,14)(10,16)(11,31)(15,24)(17,23)(18,43)(19,35)(21,26)
        (22,47)(25,30)(28,34)(29,48)(32,38)(33,51)(36,39)(37,55)(40,46)(41,64)(42,59)(44,50)(45,67)(49,54)(52,58)
        (53,68)(56,62)(57,71)(60,63)(61,74)(65,70)(66,75)(69,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,54)(29,35)(30,70)(33,58)(34,73)(37,43)(38,60)(39,64)(41,47)(42,75)(45,66)
        (46,72)(49,53)(50,67)(52,57)(55,69)(56,68)(59,65)(61,74)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,33)(18,36)
        (19,63)(23,48)(24,44)(26,32)(27,70)(28,54)(30,35)(31,73)(34,58)(37,43)(38,60)(39,64)(41,47)(42,75)(45,66)
        (46,72)(49,53)(50,67)(52,57)(55,69)(56,68)(59,65)(61,74)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,58)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,50)(29,54)(30,66)(33,39)(34,74)(35,59)(37,43)(38,71)(41,62)(42,68)(45,49)(46,63)
        (48,53)(51,65)(52,64)(55,61)(56,76)(57,69)(60,73)(67,72)(70,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,54)(15,25)(17,28)(18,58)
        (22,40)(23,36)(26,50)(27,46)(29,35)(30,70)(31,59)(33,39)(34,73)(37,62)(38,68)(41,45)(42,63)(44,49)(47,65)
        (48,64)(51,57)(52,75)(53,66)(55,61)(56,72)(60,69)(67,74)(71,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,60)(23,44)(24,41)(26,32)(27,66)(28,52)(30,36)(31,67)(34,55)(35,70)(39,43)(40,61)(42,57)(45,51)(46,71)
        (47,58)(49,54)(50,74)(53,63)(56,62)(64,69)(65,75)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,29)(18,33)
        (19,63)(23,45)(24,41)(27,32)(28,52)(30,56)(31,71)(34,40)(35,58)(36,64)(38,44)(39,75)(42,66)(43,73)(46,51)
        (47,67)(49,55)(50,68)(53,70)(54,69)(57,62)(59,74)(61,65)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), 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)(16,30)(18,33)
        (19,63)(23,45)(24,41)(26,32)(27,73)(28,52)(31,56)(34,40)(35,58)(36,64)(38,44)(39,75)(42,66)(43,72)(46,51)
        (47,67)(49,55)(50,68)(53,70)(54,69)(57,62)(59,74)(61,65)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,54)(16,30)(18,32)
        (19,58)(23,43)(24,39)(26,31)(27,57)(28,50)(33,38)(34,62)(36,42)(37,74)(40,65)(41,72)(44,49)(45,66)(47,53)
        (48,67)(51,69)(52,68)(55,61)(56,70)(59,64)(60,76)(63,73)(71,75),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,37)( 8,14)(10,21)(11,47)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,67)(24,51)(26,32)(27,71)(30,55)(31,74)(34,39)(35,65)(36,56)(38,43)(41,59)(42,66)(45,50)(46,60)
        (48,54)(49,61)(52,63)(53,62)(57,69)(58,75)(64,70)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,44)(24,40)(26,31)(27,51)(29,35)(30,67)(33,55)(34,70)(38,43)(39,57)(41,62)(42,74)(45,50)(46,53)
        (47,63)(49,54)(52,66)(56,61)(58,73)(64,69)(65,75)(68,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), 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)(26,70)(27,50)(29,34)(32,54)(33,71)(37,42)(38,59)(40,62)(41,74)(44,49)(45,52)(46,63)
        (48,53)(51,66)(55,61)(56,76)(57,68)(60,73)(64,69)(65,75)(67,72),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,45)(12,21)(14,19)(15,35)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,48)(29,52)(30,60)(33,39)(34,53)(37,43)(38,66)(41,56)(42,69)(46,51)(47,57)(49,59)
        (50,74)(54,68)(55,63)(58,73)(61,65)(62,75)(64,71)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,40)(11,20)(13,18)(14,51)(15,24)(17,27)(21,39)
        (22,35)(25,47)(26,43)(28,34)(29,64)(30,52)(32,38)(33,67)(36,55)(37,71)(41,46)(42,56)(44,59)(45,57)(48,54)
        (49,66)(50,60)(53,63)(58,74)(61,69)(62,75)(65,70)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,52)
        (22,39)(23,35)(26,47)(27,43)(29,34)(30,55)(32,38)(33,67)(36,59)(37,70)(41,46)(42,60)(44,62)(45,74)(48,54)
        (49,57)(50,63)(53,58)(56,66)(61,73)(64,69)(65,75)(68,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,62)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,33)(27,54)(29,34)(32,58)(36,42)(37,74)(38,63)(40,46)(41,75)(44,66)(45,72)(48,53)
        (49,56)(50,67)(52,57)(55,61)(59,65)(60,68)(64,70)(69,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), 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)(37,71)(40,62)(41,74)(44,49)(45,52)(46,63)
        (48,53)(51,66)(55,61)(56,67)(60,70)(64,69)(65,75)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,50)(15,25)(17,28)(18,54)
        (22,36)(23,32)(26,47)(27,43)(30,35)(31,57)(33,39)(34,66)(37,42)(38,69)(41,46)(44,61)(45,70)(48,53)(49,62)
        (51,56)(52,74)(55,60)(58,65)(59,75)(63,73)(64,71)(67,72)(68,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,43)(11,20)(13,18)(14,53)(15,24)(17,27)(21,39)
        (22,35)(25,50)(26,46)(28,34)(29,65)(30,54)(32,38)(33,66)(36,42)(37,69)(40,45)(41,73)(44,49)(47,57)(48,74)
        (51,56)(52,58)(55,61)(59,64)(60,75)(62,68)(63,71)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,16)( 7,32)( 8,14)(10,20)(11,44)(12,17)(15,28)(18,40)(19,36)(21,27)
        (22,59)(23,47)(25,31)(26,63)(29,35)(30,66)(33,39)(34,70)(37,51)(38,74)(41,46)(42,49)(43,52)(45,50)(48,55)
        (53,58)(54,75)(56,62)(57,72)(60,65)(61,68)(64,69)(67,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,35)( 8,14)(10,21)(11,47)(12,18)(15,32)(16,28)(19,43)(20,39)
        (22,27)(23,62)(24,50)(26,31)(29,54)(30,63)(33,38)(34,55)(36,42)(37,67)(40,46)(41,70)(44,49)(45,73)(48,53)
        (51,58)(52,74)(56,66)(57,64)(59,65)(60,69)(61,75)(68,72)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,56)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,49)(29,52)(30,65)(33,39)(34,74)(35,57)(37,43)(38,75)(41,60)(42,72)(45,51)(46,68)
        (47,61)(50,64)(53,59)(54,62)(55,67)(58,70)(63,73)(66,69)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,12)( 3,25)( 4, 9)( 6,20)( 7,33)( 8,16)(10,24)(11,21)(13,19)(14,48)(15,28)(17,32)(18,52)
        (22,40)(23,36)(26,31)(27,41)(29,44)(30,63)(34,39)(35,55)(37,58)(38,70)(42,62)(43,59)(45,51)(46,75)(47,65)
        (49,54)(50,72)(53,57)(56,69)(60,67)(61,73)(64,68)(66,74)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,58)(16,29)(18,33)
        (19,59)(23,44)(24,40)(27,32)(28,50)(30,54)(31,67)(34,39)(35,70)(36,60)(38,43)(41,62)(42,71)(45,49)(46,63)
        (48,53)(51,66)(52,64)(55,61)(56,73)(57,68)(65,74)(69,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,55)(16,30)(18,33)
        (19,58)(23,41)(24,37)(26,32)(27,67)(28,47)(31,51)(35,40)(36,59)(38,62)(39,71)(42,46)(43,63)(45,50)(48,66)
        (49,64)(52,57)(53,73)(54,68)(56,61)(60,70)(65,74)(69,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,33)( 8,14)(10,21)(11,44)(12,18)(15,29)(16,26)(19,41)(20,37)
        (22,28)(23,63)(24,47)(27,51)(30,36)(31,67)(32,52)(34,40)(35,70)(38,55)(39,71)(42,46)(43,56)(45,50)(48,59)
        (49,57)(53,66)(54,64)(58,74)(60,65)(61,69)(62,75)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), 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)(30,67)(31,55)(33,39)(34,70)(37,58)(38,71)(41,45)(42,59)(44,49)(47,62)
        (48,60)(52,57)(53,63)(56,66)(61,74)(64,69)(65,75)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,47)(15,25)(17,28)(18,50)
        (22,36)(23,32)(26,46)(27,43)(30,35)(31,54)(33,58)(34,66)(37,42)(38,59)(40,45)(41,70)(44,61)(48,53)(49,62)
        (51,57)(52,74)(55,65)(56,75)(60,69)(63,73)(64,71)(67,72)(68,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,33)( 8,14)(10,21)(11,44)(12,18)(15,29)(16,26)(19,41)(20,37)
        (22,28)(23,62)(24,47)(27,51)(30,36)(31,67)(32,52)(34,40)(35,68)(38,55)(39,70)(42,46)(43,56)(45,50)(48,59)
        (49,57)(53,66)(54,63)(58,74)(60,65)(61,75)(64,72)(69,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,33)( 8,14)(10,21)(11,44)(12,18)(15,29)(16,26)(19,41)(20,37)
        (22,28)(23,61)(24,48)(27,51)(30,36)(31,66)(32,52)(34,40)(35,67)(38,55)(39,69)(42,47)(43,56)(45,50)(46,74)
        (49,58)(53,65)(54,62)(57,73)(59,64)(60,75)(63,71)(68,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,63)(16,32)(18,36)
        (19,67)(23,47)(24,43)(26,31)(27,34)(28,55)(30,35)(33,59)(37,42)(38,68)(40,46)(41,65)(44,70)(45,61)(48,54)
        (49,75)(50,71)(52,58)(53,76)(56,62)(57,73)(60,66)(64,69)(72,74),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(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)(67,68,69)(70,71,72,73)(74,75,76) ), 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)(18,60)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,54)(31,63)(33,39)(34,72)(37,66)(38,73)(41,47)(42,75)(43,67)(45,51)
        (46,76)(49,70)(50,69)(53,59)(55,71)(57,62)(58,64)(61,65)(68,74),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,48)(12,18)(15,32)(16,28)(19,44)(20,40)
        (22,27)(23,52)(25,31)(26,64)(29,56)(30,67)(33,39)(34,72)(35,57)(37,43)(38,69)(41,59)(42,66)(45,51)(46,75)
        (47,60)(49,55)(50,76)(53,63)(54,62)(58,71)(61,74)(65,70)(68,73),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,45)(12,21)(14,19)(15,57)(16,31)(18,34)
        (22,42)(23,38)(25,30)(26,49)(28,33)(29,66)(32,53)(36,41)(37,58)(39,61)(40,70)(43,48)(44,62)(46,52)(47,63)
        (50,65)(51,74)(54,60)(55,72)(56,67)(59,69)(64,73)(68,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,16)( 7,32)( 8,14)(10,20)(11,43)(12,17)(15,28)(18,40)(19,36)(21,27)
        (22,56)(23,47)(25,31)(26,59)(29,35)(30,63)(33,39)(34,66)(37,51)(38,69)(41,46)(42,52)(44,50)(45,53)(48,55)
        (49,74)(54,73)(57,62)(58,75)(60,65)(61,71)(64,68)(67,72)(70,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,55)(16,28)(18,32)
        (22,43)(23,39)(26,31)(27,48)(29,51)(30,64)(33,38)(34,56)(36,42)(37,71)(40,59)(41,72)(44,50)(45,68)(46,60)
        (49,63)(52,58)(53,75)(54,66)(57,70)(61,67)(62,74)(65,69)(73,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), 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)(16,31)(18,35)
        (19,62)(23,46)(24,42)(26,30)(27,50)(29,34)(32,54)(33,51)(36,41)(37,71)(38,63)(40,45)(43,66)(44,72)(48,53)
        (49,67)(52,57)(55,61)(56,68)(59,65)(60,75)(64,70)(69,74)(73,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,28)( 7,15)( 9,23)(10,39)(11,20)(13,18)(14,24)(16,27)(17,44)(21,35)
        (22,31)(25,43)(26,40)(29,34)(30,47)(32,51)(33,59)(36,42)(37,66)(38,52)(41,54)(45,50)(46,55)(48,58)(49,71)
        (53,62)(56,70)(57,67)(60,65)(61,73)(63,69)(64,74)(68,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), 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)(30,65)(33,47)(34,69)(37,41)(38,58)(40,44)(43,59)(46,52)(48,60)
        (50,56)(51,70)(54,61)(55,73)(63,68)(64,74)(66,72)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,40)(15,21)(17,24)(18,43)(22,39)
        (23,35)(25,31)(26,58)(27,47)(29,34)(30,62)(33,38)(36,51)(37,63)(41,46)(42,52)(44,50)(45,71)(48,55)(49,73)
        (53,70)(54,66)(56,61)(57,74)(59,65)(60,68)(64,69)(67,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72)(73,74,75,76) ), 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)(18,48)(21,27)
        (22,54)(23,43)(25,31)(26,55)(29,47)(30,58)(33,39)(34,65)(35,49)(37,42)(38,69)(41,46)(44,51)(45,70)(50,62)
        (52,57)(53,73)(56,61)(59,64)(60,74)(63,68)(66,72)(67,75)(71,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(69,70,71,72)(73,74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,40)(15,21)(17,24)(18,43)(22,39)
        (23,35)(25,31)(26,59)(27,47)(29,34)(30,62)(33,38)(36,51)(37,63)(41,46)(42,52)(44,50)(45,71)(48,55)(49,72)
        (53,70)(54,66)(56,61)(57,68)(58,74)(60,65)(64,69)(67,75)(73,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), 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)(26,59)(27,51)(29,35)(30,62)(33,38)(34,66)(37,42)(40,46)(41,67)(44,50)(45,70)(48,54)(49,74)
        (52,55)(53,75)(56,61)(57,64)(58,72)(60,65)(63,69)(68,73)(71,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 5)( 2,13)( 3,21)( 4, 9)( 6,12)( 7,32)( 8,14)(10,17)(11,35)(15,28)(16,24)(18,23)(19,51)(20,39)
        (22,27)(25,43)(26,52)(29,34)(30,63)(31,44)(33,38)(36,42)(37,64)(40,47)(41,67)(45,59)(46,55)(48,54)(49,57)
        (50,71)(53,58)(56,74)(60,66)(61,69)(62,75)(65,70)(68,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), 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)(26,55)(27,51)(29,35)(30,58)(33,38)(34,62)(37,42)(40,46)(41,63)(44,50)(45,66)(48,53)(49,70)
        (52,54)(56,61)(57,71)(59,65)(60,75)(64,69)(67,73)(68,76)(72,74),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (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)(66,67,68,69)(70,71,72,73)(74,75,76) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,27)( 7,15)( 9,19)(10,28)(13,18)(14,20)(16,23)(17,36)(21,35)(22,31)
        (24,30)(25,51)(26,39)(29,34)(32,43)(33,52)(37,42)(38,44)(40,47)(41,60)(45,59)(46,55)(48,54)(49,74)(50,63)
        (53,58)(56,67)(57,75)(61,66)(62,68)(64,71)(65,69)(70,73)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(67,68,69,70)(71,72,73)(74,75,76) ), 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)(53,70)
        (54,63)(57,62)(60,66)(61,71)(64,67)(65,74)(68,73)(69,75)(72,76),
      nbP := 76,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (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)(67,68,69)(70,71,72,73)(74,75,76) ) ];
