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