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