return [ rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,23)(10,39)(11,21)(13,19)(14,49)(15,24)(17,27)(18,53)
        (22,35)(25,45)(26,42)(28,34)(29,66)(30,57)(32,38)(33,69)(36,41)(37,64)(40,44)(43,61)(46,52)(47,73)(48,62)
        (50,56)(51,77)(54,60)(55,78)(58,65)(59,81)(63,70)(67,72)(68,82)(71,76)(74,80)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,33)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,56)(16,29)(18,32)
        (19,60)(23,40)(24,36)(27,31)(28,48)(30,52)(34,39)(35,63)(37,66)(38,71)(41,47)(42,79)(43,67)(45,51)(46,80)
        (49,55)(50,82)(53,59)(54,76)(57,62)(58,73)(61,65)(64,70)(68,78)(69,74)(72,77)(75,83)(81,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,33)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,56)(16,29)(18,32)
        (19,60)(23,40)(24,36)(26,31)(27,48)(30,52)(34,39)(35,63)(37,66)(38,71)(41,47)(42,79)(43,67)(45,51)(46,80)
        (49,55)(50,82)(53,59)(54,76)(57,62)(58,73)(61,65)(64,70)(68,78)(69,74)(72,77)(75,83)(81,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,28)(18,31)
        (22,43)(23,39)(26,30)(27,51)(29,55)(32,38)(33,71)(34,60)(36,42)(37,72)(40,63)(41,69)(44,50)(45,79)(46,64)
        (48,54)(49,81)(52,58)(53,82)(56,62)(57,76)(61,67)(65,78)(66,74)(68,73)(70,77)(75,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,28)(18,31)
        (22,43)(23,39)(25,30)(26,51)(29,55)(32,38)(33,71)(34,60)(36,42)(37,72)(40,63)(41,69)(44,50)(45,79)(46,64)
        (48,54)(49,81)(52,58)(53,82)(56,62)(57,76)(61,67)(65,78)(66,74)(68,73)(70,77)(75,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,29)(18,33)
        (19,60)(23,43)(24,39)(27,32)(28,51)(30,55)(31,72)(34,38)(35,63)(37,42)(40,67)(41,64)(44,50)(45,81)(46,68)
        (48,54)(49,82)(52,71)(53,83)(56,62)(57,79)(58,74)(61,66)(65,80)(69,75)(70,78)(73,77)(76,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,15)( 9,23)(10,42)(11,20)(13,18)(14,24)(16,27)(17,51)(21,38)
        (22,34)(25,50)(26,46)(28,33)(29,67)(30,54)(32,37)(35,58)(36,68)(39,45)(40,77)(41,59)(43,49)(44,78)(47,62)
        (48,79)(52,57)(53,63)(55,66)(56,82)(60,73)(61,70)(64,81)(65,75)(69,72)(71,83)(74,80)(76,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,37)(11,17)(14,24)(15,21)(18,36)(19,32)(22,44)
        (23,40)(25,31)(26,59)(27,45)(29,35)(30,60)(33,48)(34,63)(38,43)(39,49)(41,52)(42,72)(46,56)(47,53)(50,71)
        (51,67)(54,78)(55,74)(57,62)(58,79)(61,66)(64,70)(65,80)(68,76)(69,84)(73,77)(75,82)(81,83),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,60)(23,41)(24,38)(27,32)(28,49)(30,52)(31,71)(34,40)(35,81)(36,63)(39,67)(42,48)(43,76)(44,68)(46,51)
        (47,73)(50,70)(53,59)(54,80)(55,74)(57,62)(58,65)(61,66)(64,78)(69,82)(72,77)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,24)(11,21)(13,19)(14,55)(15,31)(17,35)(18,56)
        (22,47)(23,43)(25,30)(26,48)(28,34)(29,64)(32,51)(33,67)(36,42)(37,74)(38,57)(40,46)(41,77)(44,59)(45,81)
        (49,63)(50,60)(52,58)(53,76)(54,71)(61,66)(62,82)(65,70)(68,73)(69,83)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,60)(16,32)(18,36)
        (19,61)(23,48)(24,44)(26,31)(27,53)(29,35)(30,64)(33,56)(34,67)(37,43)(38,74)(39,58)(41,47)(42,75)(45,51)
        (46,78)(49,55)(50,82)(54,63)(57,62)(59,71)(65,70)(66,83)(68,73)(69,80)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,32)(18,36)
        (19,64)(23,44)(24,40)(26,31)(27,52)(29,35)(30,76)(33,56)(34,78)(38,43)(39,67)(41,71)(42,68)(45,51)(46,58)
        (47,72)(49,55)(50,82)(53,75)(54,83)(57,63)(59,81)(61,66)(62,73)(65,70)(69,74)(77,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,71)(27,52)(29,35)(30,72)(33,55)(34,75)(37,43)(38,83)(39,60)(42,63)(45,51)(46,79)
        (47,64)(49,54)(50,70)(53,67)(56,62)(57,65)(58,78)(61,82)(66,84)(68,74)(69,80)(73,77)(76,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), 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)(26,70)(27,52)(29,35)(30,73)(33,55)(34,74)(37,43)(38,81)(39,60)(41,46)(42,82)(45,62)
        (48,54)(49,69)(50,63)(53,66)(56,61)(57,84)(58,77)(64,78)(65,83)(67,72)(68,79)(71,76)(75,80),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,56)(23,40)(25,31)(26,67)(27,48)(29,35)(30,70)(33,51)(34,71)(38,43)(39,59)(41,47)(42,79)(45,50)(46,82)
        (49,63)(52,58)(53,61)(54,74)(57,62)(60,78)(64,69)(65,76)(66,83)(68,73)(72,77)(75,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,48)(24,44)(26,32)(27,67)(28,53)(30,36)(31,70)(34,56)(35,71)(38,43)(39,78)(40,58)(42,47)(45,51)
        (46,79)(49,55)(50,82)(54,63)(57,62)(59,74)(64,69)(65,76)(66,83)(68,73)(72,77)(75,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,63)(16,33)(18,37)
        (19,64)(23,49)(24,45)(26,32)(27,74)(28,55)(30,36)(31,75)(34,59)(35,78)(38,44)(39,61)(40,65)(42,48)(43,82)
        (46,67)(47,73)(50,54)(51,68)(53,58)(56,70)(57,69)(60,66)(62,81)(71,77)(72,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,63)(16,33)(18,37)
        (19,64)(23,49)(24,45)(26,32)(27,74)(28,55)(30,36)(31,77)(34,59)(35,78)(38,44)(39,61)(40,65)(42,48)(43,82)
        (46,67)(47,73)(50,54)(51,68)(53,58)(56,70)(57,69)(60,66)(62,81)(71,76)(72,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,70)(27,52)(29,35)(30,74)(33,55)(34,77)(37,43)(38,57)(39,60)(42,62)(45,51)(46,81)
        (47,63)(49,54)(50,69)(53,66)(56,61)(58,65)(64,78)(67,73)(68,82)(71,76)(72,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(16,33)(18,37)
        (19,60)(23,44)(24,41)(26,32)(27,70)(28,52)(30,36)(31,74)(34,55)(35,77)(38,43)(39,57)(42,62)(45,51)(46,81)
        (47,63)(49,54)(50,69)(53,66)(56,61)(58,65)(64,78)(67,73)(68,82)(71,76)(72,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,20)(11,40)(14,19)(15,52)(16,28)(18,32)(21,27)
        (22,59)(23,44)(25,31)(26,63)(29,48)(30,66)(33,39)(34,50)(35,53)(37,43)(38,71)(41,47)(42,74)(45,55)(46,78)
        (49,54)(51,70)(56,62)(57,81)(58,79)(60,65)(61,82)(64,69)(67,73)(68,83)(72,77)(75,80)(76,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(26,62)(27,51)(29,35)(30,66)(33,55)(34,70)(38,42)(40,56)(44,50)(45,74)(46,57)(48,54)
        (49,77)(52,59)(53,81)(58,71)(60,65)(61,82)(63,69)(64,83)(67,73)(68,79)(72,76)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,41)(11,21)(13,19)(14,49)(15,25)(17,27)(18,53)
        (22,38)(23,34)(26,45)(28,33)(29,66)(30,57)(32,37)(35,61)(36,67)(39,44)(40,62)(42,48)(43,74)(46,52)(47,77)
        (50,56)(51,78)(54,60)(55,81)(58,65)(59,82)(63,73)(64,69)(68,72)(70,76)(71,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,56)(16,32)(18,36)
        (19,59)(23,40)(24,38)(26,31)(27,48)(29,35)(30,67)(33,52)(34,70)(39,62)(41,47)(42,75)(43,63)(45,51)(46,78)
        (49,66)(50,82)(53,58)(54,64)(55,74)(57,61)(60,65)(68,73)(69,83)(71,77)(72,80)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,31)(18,35)
        (22,43)(23,40)(25,30)(26,51)(28,34)(29,67)(32,55)(33,70)(36,42)(37,65)(38,60)(41,62)(44,50)(45,75)(46,63)
        (48,54)(49,78)(52,66)(53,82)(56,61)(57,64)(58,74)(68,73)(69,83)(71,77)(72,80)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,62)(16,32)(18,36)
        (22,46)(23,42)(25,31)(26,67)(27,54)(29,35)(30,70)(33,58)(34,74)(37,41)(38,63)(40,45)(43,60)(44,64)(47,53)
        (48,75)(49,61)(51,57)(52,78)(55,66)(56,81)(59,65)(68,73)(69,82)(71,77)(72,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,44)(24,42)(26,32)(27,68)(28,52)(30,36)(31,71)(34,56)(35,74)(38,43)(39,47)(40,62)(45,51)(46,58)
        (49,55)(50,79)(53,64)(54,82)(57,63)(59,78)(65,70)(66,76)(67,83)(69,73)(72,77)(75,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(30,63)(33,41)(34,46)(37,42)(44,50)(45,64)(48,54)(49,67)(52,55)
        (53,71)(56,62)(57,79)(58,75)(60,66)(61,82)(65,70)(68,74)(69,83)(72,77)(73,81)(76,78)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,35)( 8,17)(10,20)(11,39)(14,19)(15,34)(16,28)(18,31)(21,27)
        (22,55)(23,43)(25,30)(26,59)(29,47)(32,38)(33,48)(36,42)(37,63)(40,46)(41,67)(44,51)(45,71)(49,66)(50,60)
        (52,58)(53,78)(54,72)(56,62)(57,82)(61,74)(64,70)(65,75)(68,73)(69,81)(76,80)(77,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,17)( 7,36)( 8,14)(10,20)(11,41)(12,18)(15,32)(16,28)(19,40)(21,27)
        (22,48)(23,42)(25,31)(26,52)(29,44)(30,56)(33,39)(34,67)(35,45)(37,43)(38,51)(46,64)(47,60)(49,55)(50,68)
        (53,59)(54,75)(57,63)(58,79)(61,71)(62,82)(65,70)(66,72)(69,78)(73,77)(74,83)(76,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), 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)(54,68)
        (55,61)(57,63)(58,72)(62,64)(65,71)(66,79)(67,73)(69,75)(70,82)(74,76)(77,81)(78,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70,71)(72,73,74,75)(76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,43)(15,21)(17,24)(18,47)(22,39)
        (23,36)(25,31)(26,60)(27,51)(29,35)(30,63)(33,38)(34,58)(37,55)(40,46)(41,67)(42,56)(44,50)(45,71)(48,54)
        (49,74)(52,59)(53,78)(57,64)(61,66)(62,81)(65,70)(68,73)(69,82)(72,77)(75,80)(76,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(29,64)(30,55)(32,38)(33,67)(36,42)(37,62)(41,59)(44,50)(45,71)(46,60)(48,54)
        (49,75)(52,58)(53,78)(56,63)(57,81)(61,68)(65,70)(66,82)(69,74)(72,77)(73,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,56)(23,47)(24,44)(26,31)(27,66)(28,49)(30,35)(33,51)(34,67)(37,43)(38,77)(39,59)(41,46)(42,81)(45,62)
        (50,63)(52,58)(53,76)(54,70)(57,61)(60,74)(64,69)(65,82)(68,73)(71,79)(72,83)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,55)(16,33)(18,36)
        (19,56)(23,47)(24,44)(26,32)(27,66)(28,49)(30,35)(31,70)(34,51)(37,43)(38,77)(39,59)(41,46)(42,81)(45,62)
        (50,63)(52,58)(53,76)(54,71)(57,61)(60,74)(64,69)(65,82)(67,73)(68,83)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,55)(16,31)(18,35)
        (19,58)(23,43)(25,30)(26,66)(27,48)(29,34)(32,51)(33,67)(36,42)(37,77)(38,59)(40,46)(41,81)(44,50)(45,65)
        (49,62)(52,57)(53,76)(54,70)(56,61)(60,74)(63,69)(64,82)(68,73)(71,79)(72,83)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,55)(16,32)(18,35)
        (19,58)(23,43)(25,31)(26,66)(27,48)(29,34)(30,70)(33,51)(36,42)(37,77)(38,59)(40,46)(41,81)(44,50)(45,65)
        (49,62)(52,57)(53,76)(54,71)(56,61)(60,74)(63,69)(64,82)(67,73)(68,83)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(17,35)(18,58)
        (22,47)(23,43)(25,30)(26,69)(27,48)(29,34)(32,51)(33,70)(36,42)(37,78)(38,61)(40,46)(41,81)(44,50)(45,68)
        (49,65)(52,57)(53,63)(54,73)(56,60)(59,64)(62,77)(66,72)(67,82)(71,76)(74,80)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(17,35)(18,58)
        (22,47)(23,43)(25,31)(26,69)(27,48)(29,34)(30,73)(33,51)(36,42)(37,78)(38,61)(40,46)(41,81)(44,50)(45,68)
        (49,65)(52,57)(53,63)(54,74)(56,60)(59,64)(62,77)(66,72)(67,82)(70,76)(71,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(18,35)
        (22,47)(23,43)(25,31)(26,66)(27,51)(29,34)(30,70)(33,54)(36,42)(37,77)(38,59)(40,46)(41,81)(44,49)(45,65)
        (48,53)(52,62)(55,61)(56,76)(57,71)(60,74)(63,69)(64,82)(67,73)(68,83)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,22)( 4, 9)( 6,12)( 7,32)( 8,17)(10,21)(11,36)(14,20)(15,48)(16,25)(18,29)(19,52)
        (23,28)(24,40)(26,44)(27,60)(30,35)(31,56)(33,39)(34,68)(37,43)(38,71)(41,59)(42,75)(45,51)(46,82)(47,63)
        (49,55)(50,83)(53,58)(54,80)(57,67)(61,66)(62,76)(64,78)(65,73)(69,74)(70,81)(72,77)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,42)(12,21)(14,19)(15,40)(16,32)(18,36)
        (22,33)(23,39)(25,31)(26,54)(27,46)(29,35)(30,58)(34,45)(38,41)(43,49)(44,59)(47,50)(48,62)(51,57)(52,73)
        (53,66)(55,61)(56,77)(60,65)(63,69)(64,78)(67,70)(68,81)(71,76)(72,82)(74,80)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)
        (19,59)(23,41)(24,39)(26,32)(27,70)(28,49)(30,36)(31,74)(34,52)(35,77)(40,62)(42,48)(43,82)(44,63)(46,51)
        (47,69)(50,66)(53,58)(54,64)(55,81)(57,61)(60,65)(67,73)(68,83)(71,76)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,70)(27,52)(29,35)(30,74)(33,55)(34,77)(37,43)(38,65)(39,60)(42,62)(45,51)(46,82)
        (47,63)(49,54)(50,69)(53,66)(56,61)(57,64)(58,81)(67,73)(68,83)(71,76)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(26,67)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,56)(41,46)(42,82)(45,59)(48,54)
        (49,66)(50,60)(53,63)(57,84)(58,78)(61,79)(62,83)(64,70)(65,80)(68,73)(69,76)(72,77)(75,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,52)(12,21)(14,19)(15,63)(16,32)(18,36)
        (22,48)(23,44)(25,31)(26,70)(27,55)(29,35)(30,74)(33,59)(34,77)(37,43)(38,61)(39,64)(41,47)(42,82)(45,51)
        (46,69)(49,54)(50,57)(53,58)(56,66)(60,65)(62,81)(67,73)(68,83)(71,76)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,48)(24,44)(26,32)(27,70)(28,52)(30,36)(31,74)(34,56)(35,77)(38,43)(39,58)(41,47)(42,82)(45,63)
        (46,69)(50,55)(51,64)(53,66)(54,65)(57,62)(59,81)(67,73)(68,83)(71,76)(72,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,35)(23,31)(26,47)(27,43)(30,34)(32,59)(33,56)(36,42)(37,71)(38,60)(40,46)(41,73)(44,63)(45,77)(48,54)
        (49,81)(50,64)(52,58)(53,82)(57,69)(61,70)(62,66)(65,78)(67,75)(68,83)(72,76)(74,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,64)(23,45)(24,42)(26,32)(27,75)(28,53)(30,36)(31,78)(34,56)(35,82)(38,44)(39,58)(40,67)(43,70)(46,52)
        (47,80)(48,71)(50,55)(51,77)(54,74)(57,63)(59,73)(61,66)(62,68)(65,69)(72,83)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)
        (19,60)(23,44)(25,31)(26,66)(27,52)(29,35)(30,70)(33,55)(34,71)(37,43)(38,57)(39,61)(41,47)(42,75)(45,51)
        (46,78)(49,54)(50,82)(53,63)(56,62)(58,74)(64,69)(65,83)(67,73)(68,80)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,33)(18,37)
        (19,67)(23,48)(24,44)(26,32)(27,75)(28,56)(30,36)(31,77)(34,60)(35,81)(38,43)(39,71)(41,47)(42,72)(45,62)
        (46,69)(49,55)(50,82)(51,63)(53,59)(54,83)(57,74)(58,79)(61,66)(65,70)(68,73)(76,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,52)(16,28)(18,32)(19,55)
        (22,27)(23,44)(25,31)(26,59)(29,48)(30,62)(33,39)(34,50)(35,56)(37,43)(38,67)(41,47)(42,70)(45,58)(46,74)
        (49,54)(51,66)(53,57)(60,65)(61,78)(63,69)(64,82)(68,73)(71,77)(72,83)(75,80)(76,84)(79,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,23)( 4, 9)( 6,11)( 7,22)( 8,16)(10,19)(13,18)(14,39)(15,27)(17,31)(20,26)(21,32)
        (24,30)(25,43)(28,35)(29,47)(33,46)(34,40)(36,42)(37,63)(38,51)(41,55)(44,50)(45,56)(48,54)(49,67)(52,59)
        (53,71)(57,70)(58,64)(60,66)(61,81)(62,75)(65,78)(68,74)(69,79)(72,77)(73,84)(76,82)(80,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,20)(11,40)(14,19)(15,47)(16,28)(18,32)(21,27)
        (22,51)(23,41)(25,31)(26,55)(29,43)(30,59)(33,39)(34,70)(35,48)(37,42)(38,54)(44,50)(45,69)(46,63)(49,66)
        (52,58)(53,71)(56,62)(57,78)(60,65)(61,82)(64,74)(67,73)(68,75)(72,81)(76,80)(77,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,15)(10,40)(11,21)(13,19)(14,44)(17,24)(18,48)(22,36)
        (23,32)(25,31)(26,61)(27,52)(29,35)(30,62)(33,56)(34,64)(37,43)(38,75)(39,57)(41,47)(42,78)(45,51)(46,81)
        (49,55)(50,70)(53,60)(54,66)(58,72)(59,68)(63,67)(65,71)(69,82)(73,77)(74,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70,71)(72,73,74)(75,76,77)(78,79,80)(81,82,83,84) ), 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)(22,35)
        (23,31)(25,30)(26,60)(27,51)(29,34)(32,55)(33,61)(36,42)(37,71)(38,56)(40,46)(41,74)(44,50)(45,75)(48,54)
        (49,78)(52,59)(53,82)(57,67)(58,63)(62,66)(64,70)(65,83)(68,73)(69,80)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(22,35)
        (23,31)(25,30)(26,62)(27,51)(29,34)(32,54)(33,63)(36,42)(37,71)(38,55)(40,46)(41,74)(44,50)(45,75)(48,53)
        (49,78)(52,58)(56,70)(57,66)(59,65)(60,68)(61,79)(64,69)(67,82)(72,77)(73,83)(76,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,54)(15,32)(17,36)(18,55)
        (22,47)(23,44)(25,31)(26,66)(27,48)(29,35)(30,69)(33,50)(34,73)(37,43)(38,78)(39,58)(41,46)(42,81)(45,62)
        (49,63)(51,57)(52,60)(53,74)(56,61)(59,77)(64,68)(65,82)(67,72)(70,76)(71,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,64)(27,52)(29,35)(30,67)(33,56)(34,71)(37,43)(38,57)(42,58)(45,51)(46,72)(47,59)
        (49,55)(50,75)(53,60)(54,79)(61,66)(62,82)(63,80)(65,70)(68,74)(69,83)(73,78)(76,81)(77,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,34)( 8,17)(10,21)(11,37)(14,20)(15,49)(16,29)(18,33)(19,50)
        (22,28)(23,56)(24,41)(26,32)(27,59)(30,45)(31,63)(35,40)(36,47)(38,44)(39,68)(42,52)(43,71)(46,51)(48,67)
        (53,58)(54,82)(55,75)(57,62)(60,66)(61,83)(64,70)(65,80)(69,74)(72,77)(73,81)(76,78)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,55)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,63)(27,49)(29,35)(30,67)(33,51)(34,68)(37,43)(38,78)(39,56)(42,59)(45,50)(46,66)
        (47,60)(52,58)(53,77)(54,71)(57,75)(61,82)(62,79)(64,70)(65,83)(69,74)(72,80)(73,84)(76,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), 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)(18,33)(19,54)
        (22,28)(23,66)(24,44)(26,32)(27,70)(30,47)(31,71)(34,39)(35,58)(37,43)(38,79)(41,46)(42,65)(45,62)(48,53)
        (49,56)(50,74)(52,57)(55,61)(59,78)(60,75)(63,69)(64,80)(67,73)(68,83)(72,77)(76,84)(81,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,19)( 6,30)( 7,15)( 9,22)(10,20)(12,18)(13,41)(14,23)(16,26)(17,45)(21,34)
        (24,37)(25,35)(27,33)(28,57)(29,49)(31,36)(32,40)(38,44)(39,58)(42,48)(43,61)(46,52)(47,65)(50,53)(51,69)
        (54,60)(55,78)(56,73)(59,64)(62,68)(63,79)(66,72)(67,81)(70,76)(71,82)(74,77)(75,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21)(22,23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,22)( 4, 9)( 6,12)( 7,33)( 8,17)(10,21)(11,37)(14,20)(15,44)(16,25)(18,29)(19,48)
        (23,28)(24,38)(26,40)(27,35)(30,36)(31,43)(32,52)(34,39)(41,47)(42,57)(45,51)(46,60)(49,55)(50,64)(53,56)
        (54,68)(58,63)(59,72)(61,67)(62,77)(65,71)(66,79)(69,75)(70,82)(73,76)(74,83)(78,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70,71)(72,73,74,75)(76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,10)( 6,22)( 7,15)( 9,19)(12,18)(13,27)(14,20)(16,23)(17,31)(21,24)(25,30)
        (26,35)(28,34)(29,40)(32,38)(33,43)(36,39)(37,47)(41,46)(42,51)(44,50)(45,56)(48,54)(49,59)(52,55)(53,63)
        (57,62)(58,67)(60,66)(61,72)(64,70)(65,75)(68,71)(69,79)(73,78)(74,82)(76,81)(77,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,55)(16,31)(18,35)
        (19,59)(23,43)(25,30)(26,48)(28,34)(29,67)(32,51)(33,70)(36,42)(37,76)(38,63)(40,46)(41,72)(44,50)(45,69)
        (49,66)(52,58)(53,80)(54,74)(56,62)(57,82)(60,65)(61,83)(64,78)(68,73)(71,77)(75,79)(81,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,24)(11,21)(13,19)(14,55)(15,31)(17,35)(18,59)
        (22,47)(23,43)(25,30)(26,48)(28,34)(29,67)(32,51)(33,70)(36,42)(37,76)(38,62)(40,46)(41,72)(44,50)(45,69)
        (49,66)(52,58)(53,80)(54,74)(56,61)(57,82)(60,65)(63,78)(64,83)(68,73)(71,77)(75,79)(81,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,53)(15,32)(17,36)(18,56)
        (22,48)(23,44)(25,31)(26,67)(27,49)(29,35)(30,71)(33,52)(34,75)(37,43)(38,73)(39,60)(41,47)(42,69)(45,51)
        (46,66)(50,64)(54,59)(55,79)(57,63)(58,83)(61,77)(62,84)(65,70)(68,74)(72,78)(76,81)(80,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), 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)(19,52)
        (23,28)(24,41)(26,45)(27,60)(30,36)(31,71)(32,55)(34,40)(35,74)(38,44)(39,78)(42,59)(43,82)(46,51)(47,57)
        (48,63)(50,54)(53,58)(56,67)(61,66)(62,83)(64,70)(65,80)(68,73)(69,76)(72,77)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(27,74)(28,52)(30,35)(33,55)(34,75)(37,43)(38,82)(39,64)(42,66)(45,51)(46,79)
        (47,67)(49,54)(50,73)(53,70)(56,62)(57,68)(58,78)(60,65)(61,84)(69,83)(71,77)(72,80)(76,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,34)( 8,17)(10,21)(11,37)(14,20)(15,49)(16,29)(18,33)(19,53)
        (22,28)(23,64)(24,41)(26,32)(27,68)(30,45)(31,69)(35,40)(36,56)(38,44)(39,72)(42,60)(43,75)(46,52)(47,78)
        (48,66)(50,55)(51,82)(54,59)(57,71)(58,83)(61,67)(62,81)(63,76)(65,70)(73,77)(74,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,20)(11,40)(14,19)(15,52)(16,28)(18,32)(21,27)
        (22,60)(23,44)(25,31)(26,64)(29,48)(30,65)(33,39)(34,70)(35,53)(37,43)(38,71)(41,47)(42,74)(45,56)(46,78)
        (49,55)(50,81)(51,62)(54,67)(57,63)(58,84)(59,79)(61,66)(68,73)(69,82)(72,77)(75,80)(76,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,52)(16,29)(18,33)(19,55)
        (22,28)(23,67)(24,44)(26,32)(27,71)(30,48)(31,72)(34,39)(35,59)(37,43)(38,60)(41,47)(42,74)(45,63)(46,78)
        (49,54)(50,81)(51,69)(53,58)(56,62)(57,82)(61,77)(64,70)(65,84)(66,79)(68,73)(75,80)(76,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(19,53)
        (23,28)(24,41)(26,45)(27,57)(30,36)(31,64)(32,54)(34,40)(35,68)(38,44)(39,72)(42,56)(43,76)(46,52)(47,82)
        (48,60)(50,55)(51,67)(58,63)(59,77)(61,79)(62,74)(65,71)(66,83)(69,75)(70,81)(73,78)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70,71)(72,73,74,75)(76,77,78)(79,80,81)(82,83,84) ), 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)(26,63)(27,51)(29,35)(30,64)(33,39)(34,67)(37,55)(38,71)(41,46)(42,78)(43,56)(45,50)(48,54)
        (49,79)(52,59)(53,82)(57,74)(58,72)(60,66)(61,76)(62,83)(65,70)(68,73)(69,77)(75,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,35)( 8,17)(10,20)(11,39)(14,19)(15,51)(16,28)(18,31)(21,27)
        (22,59)(23,43)(25,30)(26,60)(29,47)(32,38)(33,67)(34,52)(36,42)(37,70)(40,46)(41,74)(44,55)(45,78)(48,54)
        (49,81)(50,61)(53,63)(56,62)(57,84)(58,79)(64,69)(65,72)(66,82)(68,73)(71,77)(75,80)(76,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,58)(23,44)(25,31)(26,69)(27,51)(29,35)(30,73)(33,54)(34,77)(37,43)(38,75)(39,62)(41,47)(42,71)(45,50)
        (46,68)(49,53)(52,66)(56,61)(57,81)(59,65)(60,82)(63,79)(64,83)(67,72)(70,76)(74,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,56)(16,30)(18,33)
        (19,59)(23,45)(24,41)(26,32)(27,70)(28,48)(31,52)(34,40)(35,78)(36,63)(38,44)(39,82)(42,50)(43,69)(47,51)
        (49,66)(53,58)(54,76)(55,71)(57,62)(60,65)(61,77)(64,74)(67,73)(68,83)(72,80)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,62)(23,49)(24,45)(26,32)(27,70)(28,53)(30,36)(31,73)(34,56)(35,77)(38,44)(39,79)(40,66)(42,48)(43,75)
        (46,52)(47,72)(51,55)(54,69)(57,61)(58,81)(60,65)(63,68)(64,82)(67,83)(71,76)(74,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,56)(16,30)(18,33)
        (19,60)(23,45)(24,41)(26,32)(27,70)(28,49)(31,52)(34,40)(35,78)(36,63)(38,44)(39,82)(42,48)(43,69)(47,51)
        (50,66)(53,59)(54,76)(55,71)(57,62)(58,77)(61,65)(64,74)(67,73)(68,83)(72,80)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,52)(29,35)(30,70)(33,55)(34,73)(37,43)(38,79)(39,66)(41,47)(42,75)(45,51)
        (46,72)(50,54)(53,69)(56,62)(57,83)(58,77)(60,65)(61,84)(64,68)(67,81)(71,76)(74,80)(78,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,63)(23,49)(24,45)(26,32)(27,70)(28,53)(30,36)(31,73)(34,56)(35,77)(38,44)(39,79)(40,66)(42,48)(43,75)
        (46,52)(47,72)(51,55)(54,69)(57,62)(58,81)(60,65)(61,82)(64,68)(67,83)(71,76)(74,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,80)(39,66)(41,47)(42,76)(45,51)
        (46,73)(50,54)(53,70)(56,62)(57,84)(58,78)(60,65)(61,68)(64,69)(67,82)(72,77)(75,81)(79,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,63)(23,49)(24,45)(26,32)(27,71)(28,53)(30,36)(31,74)(34,56)(35,78)(38,44)(39,80)(40,66)(42,48)(43,76)
        (46,52)(47,73)(51,55)(54,70)(57,62)(58,82)(60,65)(61,68)(64,69)(67,83)(72,77)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(27,71)(28,49)(31,52)(34,40)(35,78)(36,63)(38,44)(39,82)(42,47)(43,70)(46,51)
        (50,67)(53,59)(54,77)(55,72)(57,62)(58,65)(61,66)(64,75)(68,74)(69,83)(73,80)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,80)(39,66)(41,47)(42,76)(45,50)
        (46,73)(49,54)(53,70)(56,62)(57,84)(58,78)(60,65)(61,68)(64,69)(67,82)(72,77)(75,81)(79,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,49)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,48)(23,44)(25,31)(26,63)(27,52)(29,35)(30,67)(33,55)(34,71)(37,43)(38,56)(41,47)(42,77)(45,51)(46,62)
        (50,54)(53,59)(57,80)(58,74)(60,66)(61,78)(64,70)(65,83)(68,73)(69,84)(72,76)(75,81)(79,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), 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)
        (22,48)(23,44)(25,31)(26,63)(27,52)(29,35)(30,67)(33,55)(34,70)(37,43)(38,56)(41,47)(42,77)(45,50)(46,62)
        (49,54)(53,59)(57,80)(58,74)(60,66)(61,78)(64,69)(65,83)(68,73)(71,76)(72,84)(75,81)(79,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,57)(16,33)(18,37)
        (19,60)(23,49)(24,45)(26,32)(27,70)(28,52)(30,36)(31,74)(34,56)(35,78)(38,44)(39,76)(40,64)(42,48)(43,72)
        (46,54)(47,69)(51,55)(53,67)(58,63)(59,82)(61,66)(62,83)(65,80)(68,73)(71,77)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,51)(15,31)(17,35)(18,52)
        (22,43)(23,39)(25,30)(26,67)(27,44)(29,34)(32,47)(33,68)(37,42)(38,55)(40,59)(41,75)(45,63)(46,60)(48,54)
        (49,82)(50,71)(53,58)(56,74)(57,83)(61,66)(62,76)(64,70)(65,81)(69,73)(72,78)(77,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,52)(16,30)(18,33)
        (19,55)(23,40)(24,37)(26,32)(27,71)(28,45)(31,48)(35,39)(36,59)(38,63)(41,47)(42,70)(43,64)(46,67)(49,54)
        (50,82)(51,72)(53,58)(56,62)(57,83)(60,66)(61,80)(65,75)(68,74)(69,76)(73,78)(77,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,47)(24,44)(26,31)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,78)(39,64)(41,46)(42,81)(45,66)
        (48,54)(49,73)(50,67)(53,70)(56,62)(57,83)(58,75)(60,65)(61,80)(68,76)(69,82)(72,77)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,35)( 8,17)(10,20)(11,39)(14,19)(15,51)(16,27)(18,31)(21,26)
        (22,59)(23,43)(25,30)(28,47)(29,60)(32,38)(33,66)(34,52)(36,42)(37,67)(40,46)(41,70)(44,55)(45,74)(48,54)
        (49,81)(50,57)(53,62)(56,61)(58,78)(63,69)(64,72)(65,82)(68,73)(71,77)(75,80)(76,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,25)( 7,16)( 9,20)(10,28)(13,19)(14,40)(15,21)(17,24)(18,44)(22,36)
        (23,32)(26,31)(27,47)(29,35)(30,56)(33,51)(34,59)(37,43)(38,69)(39,52)(41,46)(42,73)(45,50)(48,55)(49,74)
        (53,66)(54,63)(57,62)(58,77)(60,65)(61,84)(64,81)(67,72)(68,82)(70,76)(71,79)(75,80)(78,83),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,58)(16,29)(18,33)
        (19,61)(23,44)(24,41)(27,32)(28,51)(30,54)(31,70)(34,40)(35,78)(36,62)(38,43)(39,81)(42,65)(45,50)(46,72)
        (47,66)(49,53)(52,69)(55,60)(56,80)(57,73)(59,64)(63,77)(67,75)(68,82)(71,76)(74,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,58)(16,30)(18,33)
        (19,61)(23,44)(24,41)(26,32)(27,73)(28,51)(31,54)(34,40)(35,78)(36,62)(38,43)(39,81)(42,65)(45,50)(46,72)
        (47,66)(49,53)(52,69)(55,60)(56,80)(57,74)(59,64)(63,77)(67,71)(68,82)(70,76)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,56)(23,40)(25,31)(26,67)(27,48)(29,35)(30,71)(33,51)(34,72)(38,43)(39,59)(41,47)(42,75)(45,50)(46,78)
        (49,63)(52,58)(53,81)(54,69)(57,62)(60,74)(61,82)(64,70)(65,84)(66,79)(68,73)(76,80)(77,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,28)(18,32)
        (19,56)(23,40)(26,31)(27,48)(29,51)(30,64)(33,39)(34,74)(35,59)(37,43)(38,75)(41,47)(42,78)(45,50)(46,82)
        (49,63)(52,58)(53,61)(54,67)(57,62)(60,71)(65,70)(66,83)(68,73)(69,80)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,53)(15,25)(17,28)(18,54)
        (22,39)(23,36)(26,49)(27,46)(29,35)(30,73)(31,57)(33,38)(34,74)(37,61)(40,45)(41,68)(42,62)(44,48)(47,65)
        (50,56)(51,81)(52,66)(55,60)(58,69)(59,82)(63,77)(64,75)(67,78)(70,76)(71,80)(72,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,23)(10,39)(11,21)(13,19)(14,50)(15,24)(17,27)(18,54)
        (22,35)(25,46)(26,43)(28,34)(29,66)(30,55)(32,38)(33,67)(36,42)(37,70)(40,45)(41,74)(44,58)(47,53)(48,81)
        (49,59)(51,57)(52,82)(56,62)(60,77)(61,75)(63,69)(64,79)(65,83)(68,73)(71,76)(72,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,19)( 6,31)( 7,15)( 9,23)(10,20)(12,18)(13,47)(14,24)(16,27)(17,51)(21,39)
        (22,35)(25,43)(26,40)(28,34)(29,67)(30,55)(32,38)(33,68)(36,59)(37,70)(41,62)(42,60)(44,50)(45,81)(46,63)
        (48,54)(49,82)(52,58)(53,83)(56,66)(57,79)(61,74)(64,77)(65,75)(69,73)(71,76)(72,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,35)( 8,17)(10,24)(11,43)(12,22)(14,20)(15,54)(16,28)(18,32)
        (19,55)(23,39)(26,31)(27,47)(29,50)(30,63)(33,38)(34,58)(36,42)(37,71)(40,46)(41,74)(44,49)(45,78)(48,62)
        (51,57)(52,82)(53,66)(56,61)(59,70)(60,83)(64,69)(65,79)(67,81)(68,76)(72,77)(73,84)(75,80),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,28)(18,32)
        (19,58)(23,40)(26,31)(27,48)(29,51)(30,63)(33,39)(34,74)(35,59)(37,43)(38,75)(41,47)(42,78)(45,50)(46,82)
        (49,62)(52,57)(53,73)(54,66)(56,61)(60,70)(64,69)(65,83)(67,72)(68,80)(71,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,33)( 8,16)(10,24)(11,21)(13,19)(14,48)(15,29)(17,32)(18,52)
        (22,40)(23,36)(25,31)(26,67)(27,41)(30,44)(34,39)(35,56)(37,60)(38,71)(42,63)(43,61)(45,51)(46,77)(47,68)
        (49,55)(50,81)(53,59)(54,82)(57,70)(58,83)(62,74)(64,69)(65,80)(66,75)(72,76)(73,79)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,29)(18,33)
        (19,63)(23,45)(24,41)(27,32)(28,52)(30,56)(31,71)(34,40)(35,82)(36,67)(38,44)(39,76)(42,48)(43,73)(46,51)
        (47,54)(50,55)(53,70)(57,62)(58,80)(59,74)(61,66)(64,69)(65,81)(68,78)(72,77)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,66)(23,47)(24,43)(26,31)(27,77)(28,54)(30,35)(33,58)(34,78)(37,42)(38,69)(40,46)(41,82)(44,50)(45,76)
        (48,53)(49,56)(52,57)(55,73)(59,65)(60,84)(61,79)(63,68)(64,71)(67,72)(70,81)(74,80)(75,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,33)(18,36)
        (19,66)(23,47)(24,43)(26,32)(27,77)(28,54)(30,35)(31,78)(34,58)(37,42)(38,69)(40,46)(41,82)(44,50)(45,76)
        (48,53)(49,56)(52,57)(55,73)(59,65)(60,84)(61,79)(63,68)(64,71)(67,72)(70,81)(74,80)(75,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,32)(18,36)
        (19,64)(23,48)(24,44)(26,31)(27,74)(28,52)(30,35)(33,56)(34,75)(37,43)(38,78)(39,65)(41,47)(42,81)(45,67)
        (46,73)(50,55)(51,68)(53,70)(54,69)(57,63)(58,83)(59,76)(61,66)(62,80)(71,77)(72,82)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,36)
        (19,64)(23,48)(24,44)(26,32)(27,74)(28,52)(30,35)(31,75)(34,56)(37,43)(38,78)(39,65)(41,47)(42,81)(45,67)
        (46,73)(50,55)(51,68)(53,70)(54,69)(57,63)(58,83)(59,76)(61,66)(62,80)(71,77)(72,82)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,66)(23,48)(24,44)(26,31)(27,55)(29,35)(30,71)(33,59)(34,74)(37,43)(38,80)(39,67)(41,47)(42,76)(45,51)
        (46,73)(49,54)(50,57)(53,58)(56,70)(60,65)(61,78)(63,69)(64,84)(68,82)(72,77)(75,81)(79,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,37)( 8,17)(10,23)(11,45)(12,21)(14,19)(15,57)(16,31)(18,34)
        (22,41)(24,30)(25,65)(26,49)(28,33)(29,66)(32,53)(35,40)(36,58)(38,44)(39,70)(42,48)(43,73)(46,52)(47,77)
        (50,61)(51,78)(54,60)(55,81)(56,67)(59,69)(62,68)(63,84)(64,79)(71,76)(72,82)(74,80)(75,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(18,53)
        (22,40)(23,36)(26,48)(27,45)(29,35)(30,67)(31,56)(33,39)(34,71)(37,43)(38,74)(41,47)(42,78)(46,59)(49,55)
        (50,66)(51,60)(54,58)(57,63)(61,81)(62,79)(64,70)(65,82)(68,73)(69,83)(72,77)(75,80)(76,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,52)(15,25)(17,28)(18,55)
        (22,40)(23,36)(26,48)(27,45)(29,35)(30,67)(31,56)(33,39)(34,71)(37,43)(38,74)(41,47)(42,78)(46,59)(49,54)
        (50,66)(51,60)(53,58)(57,63)(61,81)(62,79)(64,70)(65,82)(68,73)(69,83)(72,77)(75,80)(76,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,56)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,64)(27,49)(30,52)(33,39)(34,68)(35,57)(37,43)(38,71)(41,47)(42,74)(45,51)(46,78)
        (50,60)(53,59)(54,81)(55,65)(58,67)(61,66)(62,84)(63,79)(69,73)(70,82)(72,77)(75,80)(76,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,24)(11,45)(12,22)(14,20)(15,57)(16,31)(18,34)
        (19,61)(23,41)(25,30)(26,56)(27,49)(29,33)(32,53)(35,40)(36,65)(38,44)(39,66)(42,48)(43,73)(46,52)(47,77)
        (50,69)(51,78)(54,60)(55,70)(58,64)(59,81)(62,68)(63,82)(67,76)(71,84)(72,79)(74,80)(75,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33)(34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)
        (19,63)(23,45)(24,41)(26,32)(27,74)(28,51)(31,55)(34,40)(35,78)(36,64)(38,44)(39,81)(42,67)(43,73)(46,50)
        (47,68)(49,54)(52,70)(53,69)(56,62)(57,83)(58,75)(60,66)(61,80)(65,77)(71,76)(72,82)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,54)(15,25)(17,28)(18,58)
        (22,40)(23,36)(26,50)(27,46)(29,35)(30,77)(31,62)(33,39)(34,78)(37,66)(38,72)(41,45)(42,67)(44,49)(47,69)
        (48,68)(51,57)(52,75)(53,70)(55,61)(56,81)(59,65)(60,82)(63,73)(64,83)(71,79)(74,80)(76,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,51)(12,21)(14,19)(15,32)(17,36)(18,59)
        (22,48)(23,44)(25,31)(26,73)(27,54)(29,35)(30,77)(33,58)(34,81)(37,43)(38,75)(39,62)(41,47)(42,71)(45,66)
        (46,72)(49,53)(50,67)(52,57)(55,69)(56,68)(60,65)(61,82)(63,79)(64,83)(70,76)(74,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,36)( 8,16)(10,23)(11,20)(13,18)(14,51)(15,31)(17,35)(21,43)
        (22,39)(24,30)(25,63)(26,44)(28,34)(29,64)(32,47)(33,67)(37,42)(38,52)(40,55)(41,76)(45,59)(46,56)(48,54)
        (49,78)(50,71)(53,75)(57,82)(58,79)(60,66)(61,69)(62,83)(65,70)(68,74)(72,80)(73,84)(77,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), 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)(23,44)(24,41)(27,32)(28,52)(30,55)(31,68)(34,40)(35,75)(36,61)(38,43)(39,76)(42,63)(45,51)(46,79)
        (47,64)(49,54)(50,82)(53,67)(56,62)(57,78)(58,71)(65,72)(66,77)(69,74)(70,83)(73,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), 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)(18,36)
        (19,66)(23,48)(24,44)(26,31)(27,77)(28,55)(30,35)(33,59)(34,78)(37,43)(38,61)(39,67)(41,47)(42,82)(45,69)
        (46,76)(49,54)(50,70)(52,58)(53,71)(56,73)(57,72)(60,65)(62,81)(64,68)(74,80)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)
        (19,63)(23,45)(24,41)(27,32)(28,52)(30,56)(31,74)(34,40)(35,82)(36,66)(38,44)(39,79)(42,69)(43,76)(46,51)
        (47,70)(49,55)(50,71)(53,73)(54,72)(57,62)(58,77)(60,65)(61,84)(64,68)(67,81)(75,80)(78,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,45)(12,21)(14,19)(15,56)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,48)(29,52)(30,64)(33,39)(34,71)(35,57)(37,43)(38,74)(41,59)(42,78)(46,51)(47,60)
        (49,63)(50,61)(53,58)(54,73)(55,67)(62,82)(65,70)(66,83)(68,76)(69,80)(72,77)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,51)(28,34)(29,67)(32,55)(33,70)(36,42)(37,74)(38,60)(40,46)(41,75)(44,62)(45,78)
        (49,54)(50,63)(52,66)(53,64)(56,61)(57,77)(58,71)(65,82)(68,73)(69,83)(72,80)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(29,66)(30,55)(32,38)(33,67)(36,42)(37,70)(40,46)(41,74)(44,49)(45,75)(48,58)
        (51,57)(52,82)(53,59)(56,62)(60,78)(61,76)(63,69)(64,80)(65,83)(68,73)(71,77)(72,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,47)(23,43)(25,31)(26,70)(27,52)(29,35)(30,71)(33,55)(34,72)(37,42)(38,60)(40,46)(41,75)(44,63)(45,77)
        (48,54)(49,82)(50,64)(53,66)(56,62)(57,79)(58,68)(61,74)(65,81)(67,73)(69,83)(76,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,51)(29,55)(30,68)(33,39)(34,75)(35,60)(37,43)(38,77)(41,63)(42,81)(45,50)(46,53)
        (47,64)(49,54)(52,67)(56,62)(57,79)(58,71)(61,74)(65,70)(66,82)(69,73)(72,83)(76,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(18,56)
        (22,40)(23,36)(26,48)(27,45)(29,35)(30,73)(31,59)(33,39)(34,77)(37,63)(38,78)(41,47)(42,82)(43,64)(46,66)
        (49,55)(50,72)(51,67)(53,58)(54,61)(57,62)(60,70)(65,81)(68,75)(69,83)(71,76)(74,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,32)(18,35)
        (19,66)(23,47)(24,43)(26,31)(27,54)(29,34)(30,74)(33,58)(36,42)(37,77)(38,67)(40,46)(41,78)(44,69)(45,81)
        (48,53)(49,56)(50,70)(52,57)(55,73)(59,65)(60,83)(61,75)(63,68)(64,80)(71,76)(72,82)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,30)(18,33)
        (19,59)(23,41)(24,37)(26,32)(27,70)(28,49)(31,52)(35,40)(36,63)(38,44)(39,74)(42,48)(43,77)(46,51)(47,78)
        (50,66)(53,58)(54,81)(55,71)(57,62)(60,65)(61,82)(64,73)(67,72)(68,84)(69,79)(75,80)(76,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,53)(16,30)(18,33)
        (19,56)(23,41)(24,37)(26,32)(27,70)(28,46)(31,49)(35,40)(36,60)(38,63)(39,74)(42,48)(43,78)(44,64)(47,66)
        (50,55)(51,81)(52,71)(54,59)(57,62)(58,82)(61,73)(65,77)(67,72)(68,84)(69,79)(75,80)(76,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(38,74)(41,47)(42,77)(45,50)(46,81)
        (49,54)(52,62)(53,82)(56,61)(57,66)(60,70)(64,69)(65,83)(67,73)(68,79)(72,76)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,56)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,51)(28,34)(29,63)(32,55)(33,66)(36,42)(37,73)(38,57)(40,46)(41,74)(44,59)(45,77)
        (49,54)(50,60)(52,62)(53,82)(58,70)(61,81)(64,69)(65,83)(67,72)(68,79)(71,76)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,56)(16,32)(18,36)
        (19,58)(23,47)(24,43)(26,31)(27,52)(29,35)(30,70)(33,55)(34,73)(37,42)(38,62)(40,46)(41,63)(44,66)(45,77)
        (48,54)(49,82)(50,67)(53,69)(57,61)(59,65)(60,74)(64,80)(68,81)(71,76)(72,83)(75,79)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,40)(11,20)(13,18)(14,51)(15,24)(17,27)(21,39)
        (22,35)(25,47)(26,43)(28,34)(29,64)(30,52)(32,38)(33,67)(36,55)(37,71)(41,46)(42,56)(44,59)(45,57)(48,54)
        (49,81)(50,60)(53,63)(58,75)(61,78)(62,76)(65,70)(66,82)(68,74)(69,83)(72,77)(73,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84) ), 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)(33,66)(36,55)(37,70)(41,46)(42,56)(44,58)(45,75)(48,54)
        (49,81)(50,59)(53,62)(57,74)(60,78)(61,76)(64,69)(65,82)(67,73)(68,83)(71,77)(72,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,52)
        (22,39)(23,35)(26,47)(27,43)(29,34)(30,55)(32,38)(33,67)(36,59)(37,70)(41,46)(42,60)(44,62)(45,75)(48,54)
        (49,81)(50,63)(53,58)(56,66)(57,82)(61,74)(64,78)(65,76)(68,73)(69,83)(71,77)(72,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,34)( 8,14)(10,21)(11,45)(12,18)(15,33)(16,29)(19,41)(20,37)
        (22,28)(23,60)(24,49)(26,32)(27,63)(30,52)(31,67)(35,40)(36,53)(38,44)(39,74)(42,48)(43,77)(46,51)(47,78)
        (50,56)(54,73)(55,70)(57,62)(58,83)(59,79)(61,66)(64,69)(65,84)(68,72)(71,81)(75,80)(76,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,51)(12,20)(14,18)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,59)(26,52)(28,34)(29,62)(32,38)(33,66)(36,42)(37,70)(40,46)(41,73)(44,55)(45,77)(48,54)
        (49,82)(50,56)(53,58)(57,81)(60,65)(61,83)(63,69)(64,79)(67,72)(68,75)(71,76)(74,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,47)(24,43)(26,31)(27,70)(28,52)(30,35)(33,55)(34,71)(37,42)(38,78)(39,61)(41,46)(44,63)(45,79)
        (48,54)(49,82)(50,64)(53,67)(56,62)(57,81)(58,74)(65,75)(66,80)(68,73)(69,83)(72,77)(76,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,43)(25,31)(26,70)(27,51)(29,35)(30,71)(33,55)(34,68)(37,42)(38,77)(39,64)(41,46)(44,50)(45,78)
        (48,54)(49,81)(52,66)(53,75)(56,62)(57,83)(58,73)(60,65)(61,80)(67,72)(69,76)(74,82)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,23)(10,35)(11,21)(13,19)(14,47)(15,24)(17,27)(18,48)
        (22,31)(25,43)(26,39)(29,34)(30,51)(32,38)(33,60)(36,42)(37,63)(40,55)(41,67)(44,50)(45,74)(46,56)(49,54)
        (52,59)(53,75)(57,71)(58,68)(61,66)(62,78)(64,70)(65,84)(69,81)(72,77)(73,82)(76,80)(79,83),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,23)(10,35)(11,21)(13,19)(14,47)(15,24)(17,27)(18,51)
        (22,31)(25,43)(26,39)(29,34)(30,52)(32,38)(33,60)(36,42)(37,63)(40,55)(41,67)(44,50)(45,74)(46,56)(48,54)
        (49,77)(53,59)(57,71)(58,68)(61,66)(62,78)(64,70)(65,84)(69,81)(72,76)(73,82)(75,80)(79,83),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,19)( 6,28)( 7,15)( 9,23)(10,20)(12,18)(13,43)(14,24)(16,27)(17,47)(21,35)
        (22,31)(25,39)(26,36)(29,34)(30,48)(32,51)(33,60)(37,55)(38,52)(40,46)(41,74)(42,56)(44,50)(45,77)(49,59)
        (53,67)(54,63)(57,71)(58,68)(61,66)(62,78)(64,70)(65,84)(69,81)(72,76)(73,82)(75,80)(79,83),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,19)( 6,31)( 7,15)( 9,23)(10,20)(12,18)(13,46)(14,24)(16,27)(17,49)(21,38)
        (22,34)(25,42)(26,39)(28,33)(29,66)(30,53)(32,37)(35,57)(36,67)(40,61)(41,58)(43,48)(44,78)(45,62)(47,52)
        (50,56)(51,79)(54,65)(55,81)(59,73)(60,69)(63,77)(64,74)(68,72)(70,76)(71,82)(75,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,46)(16,33)(18,37)
        (19,56)(23,44)(24,41)(26,32)(27,63)(28,52)(30,36)(31,67)(34,50)(35,71)(38,43)(39,57)(42,58)(45,51)(47,59)
        (49,55)(53,60)(54,72)(61,66)(62,75)(64,70)(65,80)(68,74)(69,82)(73,78)(76,79)(77,83)(81,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), 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)
        (53,71)(56,67)(57,74)(60,66)(61,81)(62,68)(65,70)(69,78)(72,77)(73,82)(75,80)(76,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,50)(15,25)(17,28)(18,54)
        (22,36)(23,32)(26,46)(27,43)(30,35)(31,58)(33,62)(34,70)(37,42)(38,63)(40,45)(41,74)(44,65)(47,53)(48,81)
        (49,66)(51,57)(52,82)(55,61)(56,83)(59,69)(60,79)(64,73)(67,77)(68,75)(71,76)(72,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,50)(15,25)(17,28)(18,54)
        (22,36)(23,32)(26,46)(27,42)(30,35)(31,58)(33,62)(34,71)(37,41)(38,63)(40,45)(43,66)(44,64)(47,53)(48,78)
        (49,67)(51,57)(52,81)(55,61)(56,82)(59,70)(60,83)(65,74)(68,77)(69,75)(72,76)(73,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,35)( 8,17)(10,24)(11,43)(12,22)(14,20)(15,55)(16,28)(18,31)
        (19,59)(23,39)(26,30)(27,47)(29,51)(32,38)(33,64)(34,60)(36,42)(37,67)(40,46)(41,68)(44,50)(45,71)(48,54)
        (49,75)(52,58)(53,78)(56,62)(57,81)(61,63)(65,70)(66,82)(69,74)(72,77)(73,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,32)( 8,17)(10,24)(11,39)(12,22)(14,20)(15,51)(16,28)(18,31)
        (19,55)(23,35)(25,30)(26,43)(29,47)(33,38)(34,59)(36,42)(37,64)(40,46)(41,67)(44,50)(45,71)(48,54)(49,74)
        (52,58)(53,77)(56,62)(57,81)(60,63)(61,82)(65,70)(66,83)(68,73)(69,79)(72,76)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,28)( 7,16)( 9,23)(10,35)(11,21)(13,19)(14,47)(15,24)(17,27)(18,51)
        (22,31)(25,43)(26,39)(29,34)(30,52)(32,38)(33,60)(36,42)(37,63)(40,55)(41,67)(44,50)(45,74)(46,56)(48,54)
        (49,77)(53,59)(57,73)(58,70)(61,66)(62,78)(64,69)(65,84)(68,72)(71,81)(75,80)(76,82)(79,83),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,61)(16,29)(18,33)
        (19,65)(23,45)(24,41)(27,32)(28,53)(30,57)(31,76)(34,40)(35,59)(36,68)(38,44)(39,80)(42,71)(43,78)(46,52)
        (47,83)(48,72)(50,56)(51,84)(54,75)(55,74)(58,64)(60,79)(62,67)(63,69)(66,70)(73,82)(77,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,61)(16,30)(18,33)
        (19,65)(23,45)(24,41)(26,32)(27,78)(28,53)(31,57)(34,40)(35,59)(36,68)(38,44)(39,80)(42,71)(43,77)(46,52)
        (47,83)(48,72)(50,56)(51,84)(54,75)(55,74)(58,64)(60,79)(62,67)(63,69)(66,70)(73,82)(76,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,56)(16,30)(18,32)
        (19,60)(23,44)(24,40)(26,31)(27,59)(28,52)(33,39)(34,76)(35,64)(37,43)(38,78)(41,67)(42,74)(45,51)(46,83)
        (47,68)(49,55)(50,84)(53,71)(54,70)(57,63)(58,72)(61,66)(62,80)(65,75)(69,82)(73,79)(77,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,37)( 8,14)(10,21)(11,48)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,68)(24,52)(26,32)(27,72)(30,56)(31,76)(34,39)(35,66)(36,57)(38,43)(41,60)(42,67)(45,51)(46,83)
        (47,61)(49,55)(50,84)(53,64)(54,63)(58,70)(59,79)(62,82)(65,71)(69,75)(73,78)(74,80)(77,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70,71)(72,73,74,75)(76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,38)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,51)(28,34)(29,64)(32,55)(33,67)(36,42)(37,56)(40,46)(41,71)(44,59)(45,74)(49,54)
        (50,60)(52,63)(53,83)(57,73)(58,68)(61,82)(62,78)(65,70)(66,80)(69,76)(72,77)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(30,67)(31,57)(33,39)(34,71)(37,59)(38,75)(42,47)(43,60)(45,63)(46,83)
        (49,55)(50,69)(51,64)(53,58)(54,70)(61,82)(62,78)(65,73)(66,80)(68,74)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,56)(16,30)(18,32)
        (19,60)(23,44)(24,40)(26,31)(27,59)(28,52)(33,39)(34,75)(35,63)(37,43)(38,76)(41,47)(42,73)(45,51)(46,78)
        (49,55)(50,82)(53,67)(54,83)(57,62)(58,68)(61,66)(64,71)(65,69)(70,80)(72,77)(74,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), 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)(23,43)(25,31)(26,70)(27,54)(29,35)(30,73)(33,58)(34,77)(37,42)(38,59)(41,46)(44,62)(45,60)(48,53)
        (49,81)(50,63)(52,57)(55,66)(56,82)(61,65)(64,78)(67,72)(68,75)(69,83)(71,76)(74,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,35)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,52)(29,55)(30,64)(33,39)(34,56)(37,43)(38,71)(41,59)(42,74)(45,51)(46,81)(47,60)
        (49,54)(50,82)(53,63)(57,73)(58,67)(61,78)(62,75)(65,70)(66,83)(68,76)(69,80)(72,77)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(16,32)(18,36)
        (19,63)(23,44)(24,40)(26,31)(27,74)(28,51)(30,35)(33,55)(34,75)(38,43)(39,66)(41,69)(42,82)(45,50)(46,78)
        (47,70)(49,54)(52,73)(53,79)(56,62)(57,71)(58,77)(60,65)(61,84)(64,68)(67,81)(72,83)(76,80),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,62)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,71)(27,55)(29,34)(32,58)(33,72)(36,42)(37,82)(38,63)(40,46)(41,83)(44,66)(45,80)
        (48,54)(49,75)(50,67)(52,57)(53,76)(56,70)(59,65)(60,68)(61,74)(64,78)(69,81)(73,77)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,47)(24,43)(26,31)(27,52)(29,35)(30,71)(33,55)(34,72)(37,42)(38,78)(39,64)(41,46)(44,66)(45,79)
        (48,54)(49,76)(50,67)(53,70)(56,62)(57,83)(58,74)(60,65)(61,81)(68,75)(69,82)(73,77)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(16,32)(18,36)
        (19,60)(23,44)(24,40)(26,31)(27,71)(28,49)(30,35)(33,52)(34,72)(38,43)(39,63)(41,66)(42,79)(45,51)(46,76)
        (47,67)(50,70)(53,59)(54,83)(55,74)(57,62)(58,81)(61,65)(64,78)(68,75)(69,82)(73,77)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,59)(16,31)(18,35)
        (19,63)(23,47)(24,43)(26,30)(27,52)(29,34)(32,55)(33,53)(36,42)(37,74)(38,67)(40,46)(41,75)(44,70)(45,77)
        (48,54)(49,58)(50,71)(56,62)(57,82)(60,66)(61,83)(64,69)(65,79)(68,73)(72,81)(76,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(31,56)(33,59)(34,66)(37,43)(38,73)(39,60)(42,62)(45,51)(46,77)(47,63)
        (49,55)(50,81)(53,58)(54,82)(57,65)(61,69)(64,74)(67,72)(68,83)(70,76)(71,79)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), 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)(18,53)
        (22,40)(23,36)(26,48)(27,45)(29,35)(30,70)(31,56)(33,39)(34,71)(37,60)(38,68)(41,47)(42,77)(43,61)(46,63)
        (49,55)(50,81)(51,64)(54,59)(57,66)(58,82)(62,73)(65,78)(67,72)(69,76)(74,80)(75,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,46)(23,43)(25,31)(26,63)(27,54)(29,35)(30,66)(33,58)(34,70)(37,42)(38,59)(41,45)(44,60)(47,53)(48,71)
        (49,61)(51,57)(52,74)(55,62)(56,78)(64,69)(65,79)(67,73)(68,83)(72,77)(75,81)(76,84)(80,82),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,41)(14,20)(15,50)(16,29)(18,33)(19,52)
        (22,28)(23,61)(24,45)(26,32)(27,63)(30,49)(31,67)(34,40)(35,75)(36,56)(38,44)(39,76)(42,48)(43,73)(46,60)
        (47,78)(51,55)(53,59)(54,68)(57,71)(58,82)(62,66)(64,70)(65,79)(69,84)(72,77)(74,81)(80,83),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,55)(15,25)(17,28)(18,56)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,71)(31,59)(33,39)(34,74)(37,63)(38,75)(41,46)(42,82)(43,64)(45,50)
        (48,66)(49,83)(52,58)(53,61)(54,67)(57,62)(60,70)(65,78)(68,73)(69,80)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(30,70)(31,56)(33,39)(34,71)(37,59)(38,74)(41,46)(42,82)(43,60)(45,50)
        (48,62)(49,83)(53,58)(54,63)(57,66)(61,78)(64,69)(65,80)(67,73)(68,76)(72,77)(75,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), 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)(23,43)(25,31)(26,68)(27,55)(29,35)(30,71)(33,59)(34,74)(37,42)(38,60)(41,46)(44,63)(45,61)(48,54)
        (49,78)(50,64)(52,58)(53,82)(56,67)(57,83)(62,66)(65,75)(69,73)(70,80)(72,77)(76,81)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,60)(16,32)(18,36)
        (22,44)(23,40)(25,31)(26,72)(27,52)(29,35)(30,73)(33,56)(34,70)(38,43)(39,61)(41,64)(42,80)(45,51)(46,76)
        (47,65)(49,55)(50,82)(53,68)(54,83)(57,63)(58,66)(59,75)(62,79)(67,81)(69,74)(71,78)(77,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70,71)(72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,33)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,56)(16,29)(18,32)
        (19,60)(23,40)(24,36)(27,31)(28,48)(30,52)(34,39)(35,63)(37,43)(38,68)(41,47)(42,70)(45,51)(46,74)(49,55)
        (50,75)(53,59)(54,78)(57,62)(58,81)(61,66)(64,67)(65,82)(69,73)(71,77)(72,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,39)(23,35)(26,47)(27,43)(29,34)(30,67)(31,58)(33,38)(36,62)(37,68)(41,46)(42,63)(44,50)(45,75)(48,54)
        (49,78)(52,57)(53,81)(56,61)(59,66)(60,82)(64,74)(65,70)(69,73)(71,77)(72,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,33)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,52)(16,27)(18,29)
        (19,56)(23,40)(24,36)(28,48)(30,35)(31,66)(32,60)(34,39)(37,43)(38,67)(41,47)(42,70)(45,51)(46,74)(49,55)
        (50,77)(53,59)(54,78)(57,62)(58,81)(61,63)(64,69)(65,82)(68,73)(71,76)(72,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,35)( 8,14)(10,21)(11,47)(12,18)(15,32)(16,28)(19,43)(20,39)
        (22,27)(23,62)(24,48)(26,31)(29,51)(30,63)(33,38)(34,52)(36,42)(37,71)(40,55)(41,72)(44,50)(45,81)(46,56)
        (49,59)(53,70)(54,66)(57,78)(58,74)(60,65)(61,82)(64,69)(67,76)(68,83)(73,77)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(33,67)(37,42)(38,56)(40,59)(41,76)(44,50)(45,81)(46,60)
        (49,63)(52,58)(53,79)(54,71)(57,75)(61,72)(62,78)(65,70)(66,82)(68,74)(69,83)(73,84)(77,80),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,49)(16,33)(18,37)
        (19,45)(23,43)(24,41)(26,32)(27,59)(28,51)(30,36)(31,63)(34,53)(35,67)(38,42)(39,46)(44,50)(48,54)(52,55)
        (56,62)(57,74)(58,68)(60,66)(61,78)(64,70)(65,81)(69,71)(72,77)(73,82)(75,80)(76,83)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,44)(24,40)(26,31)(27,34)(28,51)(30,35)(33,55)(38,43)(39,64)(41,67)(42,72)(45,50)(46,68)(48,54)
        (49,80)(52,58)(53,82)(56,62)(57,77)(60,66)(61,74)(65,71)(69,79)(70,75)(73,78)(76,83)(81,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,44)(24,40)(26,31)(27,51)(29,35)(30,72)(33,55)(34,73)(38,43)(39,63)(41,67)(42,64)(45,50)(46,82)
        (47,68)(49,54)(52,71)(53,83)(56,62)(57,80)(58,75)(61,66)(65,81)(69,76)(70,79)(74,78)(77,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,55)(16,30)(18,33)
        (19,59)(23,40)(24,36)(26,32)(27,67)(28,47)(31,51)(35,39)(37,63)(38,60)(41,46)(42,74)(43,64)(45,50)(48,66)
        (49,75)(52,58)(53,81)(54,68)(56,62)(57,82)(61,73)(65,70)(69,78)(71,77)(72,83)(76,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(34,74)(35,62)(37,43)(38,75)(41,46)(42,78)(45,50)(48,66)
        (49,79)(52,58)(53,67)(56,61)(57,82)(60,65)(63,70)(64,83)(68,84)(69,73)(71,77)(72,80)(76,81),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,43)(15,21)(17,24)(18,47)(22,40)
        (23,36)(25,31)(26,62)(27,51)(29,35)(30,66)(33,39)(34,69)(37,55)(38,70)(41,46)(42,56)(44,50)(45,78)(48,54)
        (49,79)(52,59)(53,81)(57,77)(58,73)(60,65)(61,82)(63,68)(64,75)(67,72)(71,76)(74,83)(80,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,21)( 4, 9)( 6,12)( 7,33)( 8,14)(10,17)(11,37)(15,29)(16,25)(18,24)(19,53)(20,41)
        (22,28)(23,54)(26,45)(27,57)(30,36)(31,68)(32,46)(34,40)(35,71)(38,44)(39,72)(42,49)(43,75)(47,64)(48,60)
        (50,56)(51,62)(52,79)(55,59)(58,63)(61,82)(65,70)(66,77)(67,83)(69,74)(73,78)(76,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,44)(15,21)(17,24)(18,48)(22,40)
        (23,36)(25,31)(26,63)(27,52)(29,35)(30,66)(33,39)(34,69)(37,56)(38,73)(41,47)(42,77)(43,57)(45,51)(46,81)
        (49,55)(50,82)(53,59)(54,83)(58,74)(60,65)(61,71)(62,79)(64,68)(67,72)(70,76)(75,80)(78,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,43)(15,21)(17,24)(18,47)(22,39)
        (23,36)(25,31)(26,59)(27,51)(29,35)(30,62)(33,38)(34,66)(37,42)(40,46)(41,67)(44,50)(45,70)(48,54)(49,74)
        (52,55)(53,75)(56,61)(57,82)(58,78)(60,65)(63,69)(64,83)(68,73)(71,77)(72,84)(76,80)(79,81),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84) ), 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)(49,74)(50,67)
        (52,58)(53,77)(57,62)(60,66)(61,78)(64,70)(65,81)(68,71)(69,82)(72,76)(73,83)(75,80)(79,84),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84) ), rec(
      invers := ( 1, 5)( 2,13)( 3,18)( 4, 9)( 6,12)( 7,29)( 8,14)(10,17)(11,30)(15,25)(16,21)(19,24)(20,33)(22,37)
        (23,42)(26,32)(27,53)(28,38)(31,36)(34,41)(35,54)(39,49)(40,45)(43,48)(44,57)(46,61)(47,66)(50,56)(51,75)
        (52,62)(55,60)(58,65)(59,76)(63,72)(64,69)(67,71)(68,79)(70,82)(73,78)(74,83)(77,81)(80,84),
      nbP := 84,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71)(72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,10)( 6,23)( 7,15)( 9,14)(12,18)(13,24)(16,19)(17,27)(20,26)(21,39)(22,31)
        (25,30)(28,34)(29,40)(32,35)(33,43)(36,42)(37,55)(38,47)(41,46)(44,50)(45,56)(48,51)(49,59)(52,58)(53,71)
        (54,63)(57,62)(60,66)(61,72)(64,67)(65,75)(68,74)(69,83)(70,79)(73,78)(76,81)(77,84)(80,82),
      nbP := 84,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84) ) ];
