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