return [ rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,29)(18,32)
        (19,64)(23,44)(24,40)(27,31)(28,52)(30,56)(33,39)(34,73)(35,65)(37,43)(38,74)(41,68)(42,76)(45,51)(46,87)
        (47,69)(49,55)(50,90)(53,59)(54,93)(57,63)(58,82)(61,67)(62,78)(66,72)(70,84)(71,80)(75,79)(77,83)(81,94)
        (85,89)(86,95)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86)(87,88,89)(90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,56)(16,32)(18,36)
        (19,57)(23,40)(25,31)(26,60)(27,48)(29,35)(30,63)(33,52)(34,67)(38,43)(39,54)(41,47)(42,72)(45,51)(46,75)
        (49,59)(50,79)(53,58)(55,71)(61,66)(62,83)(64,70)(65,87)(68,74)(69,90)(73,78)(76,82)(77,91)(80,85)(81,94)
        (84,86)(88,93)(89,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(37,67)(38,72)(41,47)(42,82)(43,68)(45,51)(46,83)
        (49,55)(50,86)(53,59)(54,89)(57,62)(58,93)(61,66)(64,71)(65,94)(69,78)(70,74)(73,77)(75,81)(76,95)(79,85)
        (80,91)(84,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(37,67)(38,72)(41,47)(42,82)(43,68)(45,51)(46,83)
        (49,55)(50,86)(53,59)(54,89)(57,62)(58,93)(61,66)(64,71)(65,94)(69,78)(70,74)(73,77)(75,81)(76,95)(79,85)
        (80,91)(84,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(41,75)(44,50)(45,86)(46,64)
        (48,54)(49,87)(52,58)(53,90)(56,62)(57,93)(61,67)(65,82)(66,78)(68,74)(69,80)(70,94)(73,77)(76,81)(79,85)
        (83,89)(84,95)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(37,74)(40,63)(41,75)(44,50)(45,86)(46,64)
        (48,54)(49,87)(52,58)(53,90)(56,62)(57,93)(61,67)(65,82)(66,78)(68,73)(69,80)(70,94)(72,77)(76,81)(79,85)
        (83,89)(84,95)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(41,75)(44,50)(45,86)(46,64)
        (48,54)(49,89)(52,58)(53,90)(56,62)(57,93)(61,67)(65,82)(66,78)(68,74)(69,80)(70,94)(73,77)(76,81)(79,85)
        (83,88)(84,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(41,75)(44,50)(45,86)(46,64)
        (48,54)(49,89)(52,58)(53,90)(56,62)(57,93)(61,67)(65,82)(66,78)(68,74)(69,80)(70,94)(73,77)(76,81)(79,85)
        (83,88)(84,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,59)
        (22,39)(23,35)(26,51)(27,47)(29,34)(30,63)(32,38)(33,71)(36,66)(37,74)(40,46)(41,86)(42,67)(44,50)(45,89)
        (48,54)(49,93)(52,58)(53,80)(56,62)(57,76)(60,65)(61,73)(64,70)(68,82)(69,78)(72,77)(75,81)(79,94)(83,88)
        (84,91)(85,95)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,57)(23,44)(24,41)(26,32)(27,72)(28,49)(31,52)(34,40)(35,79)(36,60)(38,43)(39,83)(42,64)(45,51)(46,71)
        (47,65)(50,68)(53,59)(54,94)(55,73)(58,63)(61,76)(62,95)(66,86)(67,84)(69,75)(70,87)(74,90)(77,82)(78,92)
        (80,85)(81,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,52)(15,29)(17,32)(18,55)
        (22,44)(23,40)(25,31)(26,71)(27,45)(30,48)(33,39)(34,76)(35,59)(37,43)(38,79)(41,63)(42,82)(46,67)(47,64)
        (49,54)(50,90)(51,72)(53,58)(56,62)(57,91)(60,75)(61,88)(65,70)(66,83)(68,74)(69,95)(73,86)(77,81)(78,93)
        (80,85)(84,94)(87,92)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,63)(23,49)(24,45)(26,32)(27,74)(28,52)(30,36)(31,75)(34,56)(35,78)(38,44)(39,89)(40,67)(42,48)(43,93)
        (46,54)(47,73)(51,55)(53,70)(57,62)(58,87)(59,82)(61,66)(64,69)(65,88)(68,85)(71,77)(72,94)(76,81)(79,84)
        (80,95)(83,91)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,63)(23,49)(24,45)(26,32)(27,74)(28,52)(30,36)(31,77)(34,56)(35,81)(38,44)(39,89)(40,67)(42,48)(43,93)
        (46,54)(47,73)(51,55)(53,70)(57,62)(58,87)(59,82)(61,66)(64,69)(65,88)(68,85)(71,76)(72,94)(75,80)(78,84)
        (79,95)(83,91)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,64)(23,49)(24,45)(26,32)(27,74)(28,53)(30,36)(31,75)(34,56)(35,78)(38,44)(39,89)(40,67)(42,48)(43,93)
        (46,52)(47,73)(51,55)(54,70)(57,63)(58,87)(59,82)(61,66)(62,88)(65,69)(68,85)(71,77)(72,94)(76,81)(79,84)
        (80,95)(83,91)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,64)(23,49)(24,45)(26,32)(27,74)(28,53)(30,36)(31,77)(34,56)(35,81)(38,44)(39,89)(40,67)(42,48)(43,93)
        (46,52)(47,73)(51,55)(54,70)(57,63)(58,87)(59,82)(61,66)(62,88)(65,69)(68,85)(71,76)(72,94)(75,80)(78,84)
        (79,95)(83,91)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,64)(23,49)(24,45)(26,32)(27,75)(28,53)(30,36)(31,76)(34,56)(35,79)(38,44)(39,89)(40,67)(42,48)(43,93)
        (46,51)(47,74)(50,55)(54,71)(57,63)(58,88)(59,83)(61,66)(62,69)(65,70)(68,86)(72,78)(73,94)(77,82)(80,85)
        (81,95)(84,91)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,64)(23,49)(24,45)(26,32)(27,75)(28,53)(30,36)(31,78)(34,56)(35,82)(38,44)(39,89)(40,67)(42,48)(43,93)
        (46,51)(47,74)(50,55)(54,71)(57,63)(58,88)(59,83)(61,66)(62,69)(65,70)(68,86)(72,77)(73,94)(76,81)(79,85)
        (80,95)(84,91)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,20)(13,18)(14,55)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,66)(26,48)(28,34)(29,67)(32,51)(33,70)(36,42)(37,77)(38,56)(40,46)(41,81)(44,58)(45,85)
        (49,62)(50,59)(52,57)(53,80)(54,74)(60,65)(61,86)(63,69)(64,94)(68,73)(71,76)(72,95)(75,89)(78,84)(79,90)
        (82,88)(83,91)(87,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,20)(13,18)(14,55)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,66)(26,48)(28,34)(29,69)(32,51)(33,73)(36,42)(37,77)(38,56)(40,46)(41,81)(44,58)(45,85)
        (49,62)(50,59)(52,57)(53,80)(54,74)(60,65)(61,86)(63,68)(64,94)(67,72)(70,76)(71,95)(75,89)(78,84)(79,90)
        (82,88)(83,91)(87,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,58)(16,31)(18,35)
        (19,62)(23,43)(25,30)(26,51)(28,34)(29,67)(32,54)(33,70)(36,42)(37,82)(38,63)(40,46)(41,86)(44,50)(45,90)
        (48,53)(49,94)(52,66)(55,61)(56,80)(57,74)(59,65)(60,81)(64,78)(68,73)(69,95)(71,77)(72,92)(75,84)(76,88)
        (79,85)(83,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,59)(16,33)(18,36)
        (19,60)(23,48)(24,44)(26,32)(27,74)(28,52)(30,35)(31,78)(34,55)(37,43)(38,85)(39,63)(41,47)(42,89)(45,66)
        (46,93)(50,54)(51,67)(53,70)(56,62)(57,84)(58,79)(61,65)(64,82)(68,73)(69,94)(71,77)(72,95)(75,81)(76,91)
        (80,87)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,23)(11,21)(13,19)(14,50)(15,31)(17,35)(18,54)
        (22,43)(24,30)(25,62)(26,44)(28,34)(29,63)(32,46)(33,66)(36,42)(37,68)(38,58)(40,45)(41,65)(47,53)(48,78)
        (49,70)(51,57)(52,82)(55,61)(56,86)(59,72)(60,90)(64,69)(67,73)(71,74)(75,81)(76,93)(77,91)(79,85)(80,94)
        (83,89)(84,95)(87,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,44)(24,40)(26,32)(27,67)(28,52)(30,36)(31,71)(34,56)(35,75)(39,43)(41,58)(42,62)(45,51)(46,76)
        (47,59)(49,55)(50,79)(53,64)(54,83)(57,63)(65,70)(66,86)(68,74)(69,91)(72,78)(73,93)(77,82)(80,85)(81,94)
        (84,89)(87,90)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,32)(18,36)
        (19,64)(23,44)(24,41)(26,31)(27,52)(29,35)(30,72)(33,56)(34,75)(37,43)(38,83)(39,65)(42,67)(45,51)(46,87)
        (47,68)(49,55)(50,90)(53,71)(54,94)(57,63)(58,85)(59,79)(61,66)(62,86)(69,80)(70,84)(73,78)(74,95)(76,82)
        (77,92)(81,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,60)(23,44)(24,41)(26,32)(27,75)(28,52)(30,36)(31,76)(34,55)(35,79)(39,43)(40,63)(42,67)(45,51)(46,87)
        (47,68)(49,54)(50,91)(53,71)(56,62)(57,65)(58,83)(61,66)(64,70)(69,84)(72,78)(73,94)(74,92)(77,82)(80,86)
        (81,95)(85,90)(88,93)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(83,84,85,86)(87,88,89,90)
        (91,92,93)(94,95,96) ), 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)(19,53)
        (22,28)(23,59)(24,44)(26,32)(27,62)(30,48)(31,66)(34,39)(35,50)(37,43)(38,71)(41,47)(42,74)(45,55)(46,78)
        (49,54)(51,70)(56,61)(57,89)(58,82)(60,65)(63,69)(64,90)(67,73)(68,93)(72,77)(75,81)(76,94)(79,84)(80,88)
        (83,85)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,65)(23,45)(24,41)(26,32)(27,74)(28,53)(30,36)(31,77)(34,57)(35,81)(39,44)(40,66)(42,68)(43,63)(46,52)
        (47,86)(48,69)(50,56)(51,89)(54,71)(55,93)(58,64)(59,70)(60,85)(62,67)(72,76)(73,94)(75,80)(78,84)(79,95)
        (82,88)(83,91)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,55)(16,32)(18,36)
        (22,43)(23,40)(25,31)(26,63)(27,51)(29,35)(30,67)(33,45)(34,71)(37,42)(38,56)(41,57)(44,50)(46,58)(48,54)
        (49,72)(52,59)(53,75)(60,66)(61,84)(62,79)(64,70)(65,87)(68,74)(69,90)(73,78)(76,82)(77,91)(80,83)(81,94)
        (85,89)(86,95)(88,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(57,83)(58,75)(60,66)(61,86)(65,70)(68,74)(69,87)(72,78)(73,90)(76,79)(77,94)(80,85)(81,92)
        (82,95)(84,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,35)( 8,17)(10,20)(11,39)(14,19)(15,34)(16,28)(18,32)(21,27)
        (22,51)(23,43)(25,31)(26,55)(29,37)(30,59)(33,38)(36,42)(40,46)(41,60)(44,47)(45,63)(48,54)(49,75)(50,67)
        (52,58)(53,78)(56,62)(57,82)(61,66)(64,70)(65,83)(68,71)(69,86)(72,77)(73,94)(74,90)(76,81)(79,85)(80,95)
        (84,89)(87,92)(88,96)(91,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,45)(12,22)(14,20)(15,52)(16,32)(18,36)
        (19,53)(23,44)(25,31)(26,59)(27,46)(29,35)(30,63)(33,48)(34,67)(37,43)(38,79)(39,56)(41,47)(42,62)(49,55)
        (50,78)(51,71)(54,58)(57,75)(60,66)(61,80)(64,70)(65,87)(68,74)(69,91)(72,83)(73,94)(76,82)(77,84)(81,90)
        (85,89)(86,95)(88,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,65)(23,45)(24,41)(26,32)(27,74)(28,53)(30,36)(31,75)(34,57)(35,77)(39,44)(40,66)(42,69)(43,86)(46,52)
        (47,82)(48,70)(50,56)(51,91)(54,73)(55,94)(58,64)(59,71)(60,81)(62,68)(63,89)(67,85)(72,88)(76,80)(78,84)
        (79,95)(83,93)(87,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(85,86,87)(88,89,90)(91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,26)( 4, 9)( 6,20)( 7,38)( 8,16)(10,23)(11,21)(13,19)(14,49)(15,30)(17,34)(18,53)
        (22,42)(24,29)(25,43)(27,33)(28,40)(31,45)(32,36)(35,41)(37,57)(39,44)(46,52)(47,65)(48,58)(50,56)(51,69)
        (54,60)(55,73)(59,61)(62,68)(63,81)(64,74)(66,72)(67,85)(70,76)(71,89)(75,77)(78,84)(79,94)(80,90)(82,88)
        (83,95)(86,92)(87,96)(91,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,61)(16,32)(18,36)
        (22,47)(23,44)(25,31)(26,73)(27,54)(29,35)(30,74)(33,57)(34,77)(37,43)(38,86)(39,62)(41,46)(42,89)(45,65)
        (48,53)(49,72)(50,66)(52,56)(55,69)(58,64)(59,88)(60,81)(63,85)(67,93)(68,90)(70,76)(71,94)(75,80)(78,84)
        (79,95)(82,91)(83,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,61)(16,32)(18,36)
        (22,47)(23,44)(25,31)(26,73)(27,54)(29,35)(30,77)(33,57)(34,78)(37,43)(38,86)(39,62)(41,46)(42,89)(45,65)
        (48,53)(49,72)(50,66)(52,56)(55,69)(58,64)(59,88)(60,81)(63,85)(67,93)(68,90)(70,76)(71,94)(74,80)(75,95)
        (79,84)(82,91)(83,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,62)(16,33)(18,37)
        (19,63)(23,48)(24,45)(26,32)(27,74)(28,55)(30,36)(31,78)(34,58)(35,79)(38,44)(39,86)(40,64)(42,47)(43,89)
        (46,66)(49,54)(50,73)(51,67)(53,57)(56,70)(59,65)(60,88)(61,82)(68,93)(69,90)(71,77)(72,94)(75,81)(76,95)
        (80,85)(83,91)(84,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,59)(23,43)(25,31)(26,70)(27,51)(29,35)(30,74)(33,54)(34,75)(37,42)(38,62)(40,46)(41,83)(44,50)(45,86)
        (48,53)(49,90)(52,66)(55,61)(56,64)(57,78)(60,65)(63,82)(67,73)(68,93)(69,91)(71,77)(72,94)(76,81)(79,85)
        (80,95)(84,89)(87,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,20)(13,18)(14,55)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,66)(26,48)(28,34)(29,70)(32,51)(33,71)(36,42)(37,79)(38,56)(40,46)(41,82)(44,59)(45,86)
        (49,62)(50,60)(52,58)(53,81)(54,74)(57,78)(61,90)(63,69)(64,93)(65,91)(67,73)(68,94)(72,77)(75,84)(76,95)
        (80,85)(83,89)(87,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(66,80)(67,73)(69,75)(70,84)(74,76)(77,83)(78,91)(79,85)(81,87)(82,94)
        (86,88)(89,93)(90,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86,87)(88,89,90)(91,92,93)(94,95,96) 
     ), 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)
        (19,68)(23,48)(24,44)(26,32)(27,81)(28,56)(30,36)(31,83)(34,60)(35,87)(38,43)(39,72)(41,47)(42,73)(45,76)
        (46,94)(49,55)(50,66)(51,77)(53,59)(54,62)(57,80)(58,91)(61,67)(63,90)(65,71)(69,75)(70,78)(74,96)(79,95)
        (82,86)(84,89)(85,92)(88,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,52)(15,25)(17,28)(18,56)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,63)(34,68)(37,43)(38,75)(39,64)(41,47)(42,78)(45,51)(46,81)
        (49,55)(50,85)(53,58)(54,89)(57,62)(60,67)(61,90)(65,74)(66,70)(69,73)(71,93)(72,91)(76,80)(77,94)(79,84)
        (82,88)(83,95)(86,92)(87,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,30)( 7,16)( 9,24)(10,42)(11,21)(13,19)(14,50)(15,25)(17,27)(18,54)
        (22,38)(23,34)(26,46)(28,33)(29,58)(31,37)(32,59)(35,62)(36,66)(39,45)(40,78)(41,63)(43,49)(44,82)(47,53)
        (48,85)(51,57)(52,89)(55,61)(56,93)(60,69)(64,74)(65,70)(67,73)(68,94)(71,77)(72,95)(75,81)(76,91)(79,84)
        (80,87)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,63)(27,52)(29,35)(30,66)(33,56)(34,70)(37,43)(38,82)(39,57)(41,47)(42,86)(45,51)(46,90)
        (49,55)(50,76)(53,60)(54,72)(58,78)(59,74)(61,65)(62,68)(64,69)(67,73)(71,77)(75,91)(79,85)(80,94)(81,92)
        (83,89)(84,95)(87,93)(88,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(46,90)
        (47,72)(49,55)(50,93)(53,75)(54,94)(57,63)(58,87)(59,82)(61,66)(62,88)(65,70)(69,89)(73,83)(74,86)(77,81)
        (79,85)(80,95)(84,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)(93,94,95,96) 
     ), 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)(52,74)
        (53,66)(55,61)(56,78)(60,65)(63,69)(64,79)(67,70)(68,82)(71,77)(72,91)(73,86)(75,81)(76,93)(80,85)(83,89)
        (84,94)(87,90)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,36)( 8,17)(10,23)(11,42)(12,21)(14,19)(15,40)(16,31)(18,35)
        (22,38)(24,30)(25,54)(26,46)(28,34)(29,58)(32,44)(33,62)(37,41)(39,45)(43,49)(47,50)(48,63)(51,57)(52,74)
        (53,66)(55,61)(56,78)(59,65)(60,82)(64,69)(67,70)(68,83)(71,77)(72,91)(73,86)(75,81)(76,93)(79,85)(80,94)
        (84,89)(87,90)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,45)(16,33)(18,37)
        (19,55)(23,43)(24,40)(26,32)(27,62)(28,51)(30,36)(31,66)(34,49)(35,70)(39,42)(41,56)(44,50)(46,57)(48,54)
        (52,58)(53,71)(59,65)(60,81)(61,74)(63,69)(64,85)(67,73)(68,89)(72,77)(75,78)(76,90)(79,84)(80,93)(82,88)
        (83,94)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,58)(16,32)(18,36)
        (19,62)(23,44)(25,31)(26,70)(27,51)(29,35)(30,74)(33,54)(34,75)(37,43)(38,86)(39,63)(41,47)(42,90)(45,50)
        (46,69)(49,53)(52,66)(55,61)(56,84)(57,78)(59,65)(60,85)(64,82)(67,73)(68,91)(71,77)(72,94)(76,81)(79,88)
        (80,95)(83,89)(87,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,52)(16,28)(18,32)(19,56)
        (22,27)(23,67)(24,44)(26,31)(29,48)(30,68)(33,39)(34,78)(35,59)(37,43)(38,82)(41,47)(42,86)(45,63)(46,90)
        (49,55)(50,77)(51,71)(53,58)(54,61)(57,62)(60,75)(64,70)(65,93)(66,91)(69,74)(72,80)(73,94)(76,81)(79,85)
        (83,89)(84,95)(87,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,56)(15,32)(17,36)(18,57)
        (22,48)(23,44)(25,31)(26,68)(27,49)(29,35)(30,71)(33,52)(34,75)(37,43)(38,85)(39,60)(41,47)(42,89)(45,63)
        (46,93)(50,67)(51,64)(53,59)(54,84)(55,79)(58,62)(61,82)(65,70)(66,94)(69,74)(72,78)(73,95)(76,81)(77,91)
        (80,87)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,48)(15,32)(17,36)(18,52)
        (22,27)(23,41)(25,31)(26,61)(29,35)(30,63)(33,44)(34,67)(37,43)(38,65)(39,56)(42,60)(45,51)(46,79)(47,71)
        (49,55)(50,82)(53,59)(54,86)(57,69)(58,90)(62,66)(64,70)(68,74)(72,75)(73,91)(76,81)(77,94)(78,92)(80,85)
        (83,89)(84,95)(87,93)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,41)(14,20)(15,53)(16,29)(18,33)(19,54)
        (22,28)(23,64)(24,45)(26,32)(27,67)(30,49)(31,71)(34,40)(35,79)(36,57)(38,44)(39,82)(42,48)(43,86)(46,60)
        (47,90)(50,56)(51,81)(52,74)(55,59)(58,78)(61,66)(62,93)(63,91)(65,70)(68,73)(69,94)(72,77)(75,84)(76,95)
        (80,85)(83,89)(87,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,57)(16,33)(18,37)
        (19,60)(23,45)(24,41)(26,32)(27,72)(28,50)(30,36)(31,75)(34,53)(35,79)(39,44)(40,64)(42,48)(43,87)(46,52)
        (47,90)(51,68)(54,59)(55,62)(56,82)(58,63)(61,67)(65,86)(66,83)(69,74)(70,94)(71,91)(73,78)(76,81)(77,95)
        (80,85)(84,96)(88,92)(89,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(26,71)(27,54)(29,35)(30,74)(33,58)(34,78)(37,41)(38,63)(40,45)(43,66)(44,64)(47,53)
        (48,86)(49,67)(51,57)(52,89)(55,70)(56,93)(59,65)(60,69)(61,82)(68,83)(72,77)(73,94)(75,81)(76,95)(79,85)
        (80,91)(84,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,71)(27,54)(29,35)(30,74)(33,58)(34,78)(37,41)(38,63)(40,45)(43,66)(44,64)(47,53)
        (48,86)(49,67)(51,57)(52,89)(55,70)(56,93)(59,65)(60,69)(61,82)(68,85)(72,77)(73,94)(75,81)(76,95)(79,84)
        (80,91)(83,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(27,64)(28,52)(30,36)(31,67)(34,56)(35,71)(38,43)(39,47)(40,58)(45,51)(46,76)
        (49,55)(50,79)(53,63)(54,83)(57,62)(59,75)(65,70)(66,87)(68,74)(69,91)(72,78)(73,94)(77,82)(80,86)(81,95)
        (84,89)(85,93)(88,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,23)(11,47)(12,21)(14,19)(15,59)(16,31)(18,35)
        (22,43)(24,30)(25,66)(26,51)(28,34)(29,67)(32,55)(33,70)(36,42)(37,57)(38,60)(40,46)(41,75)(44,50)(45,78)
        (48,54)(49,82)(52,62)(53,86)(56,61)(58,74)(63,69)(64,93)(65,87)(68,73)(71,77)(72,94)(76,81)(79,85)(80,95)
        (83,89)(84,92)(88,90)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,44)(24,41)(26,32)(27,67)(28,52)(30,36)(31,71)(34,56)(35,75)(38,43)(39,62)(42,58)(45,51)(46,76)
        (47,59)(49,55)(50,79)(53,64)(54,83)(57,63)(65,70)(66,87)(68,74)(69,91)(72,78)(73,94)(77,82)(80,86)(81,95)
        (84,89)(85,93)(88,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,43)(23,41)(25,31)(26,59)(27,51)(29,35)(30,63)(33,45)(34,67)(37,42)(38,46)(44,50)(48,54)(49,68)(52,55)
        (53,71)(56,62)(57,83)(58,75)(60,66)(61,86)(64,70)(65,90)(69,74)(72,78)(73,91)(76,79)(77,94)(80,85)(81,88)
        (82,95)(84,89)(87,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,33)( 8,17)(10,20)(11,36)(14,19)(15,48)(16,28)(18,32)(21,27)
        (22,55)(23,40)(25,31)(26,59)(29,44)(30,63)(34,39)(35,49)(37,43)(38,46)(41,51)(42,68)(45,50)(47,67)(52,58)
        (53,79)(54,71)(56,62)(57,82)(60,66)(61,86)(64,70)(65,90)(69,74)(72,75)(73,91)(76,81)(77,84)(78,94)(80,85)
        (83,89)(87,93)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,23)(11,21)(13,19)(14,50)(15,31)(17,35)(18,54)
        (22,43)(24,30)(25,61)(26,44)(28,34)(29,65)(32,46)(33,69)(36,42)(37,81)(38,57)(40,45)(41,64)(47,53)(48,80)
        (49,73)(51,56)(52,59)(55,60)(58,77)(62,68)(63,82)(66,72)(67,89)(70,76)(71,93)(74,85)(75,94)(78,84)(79,86)
        (83,92)(87,91)(88,95)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(38,76)(39,57)(41,47)(42,79)(45,51)(46,82)
        (49,55)(50,86)(53,60)(54,90)(58,72)(59,68)(63,67)(65,71)(66,91)(69,94)(70,92)(73,78)(74,84)(75,95)(77,81)
        (80,85)(83,89)(87,93)(88,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), 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)(30,64)(33,56)(34,65)(37,43)(38,75)(39,57)(41,47)(42,78)(45,51)(46,82)
        (49,55)(50,85)(53,60)(54,89)(58,72)(59,68)(62,67)(63,90)(66,71)(69,93)(70,91)(73,77)(74,94)(76,81)(79,84)
        (80,95)(83,88)(86,92)(87,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) 
     ), 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)(26,60)(27,52)(29,35)(30,63)(33,39)(34,67)(37,55)(38,71)(41,47)(42,78)(43,56)(45,51)(46,82)
        (49,54)(50,86)(53,59)(57,74)(58,72)(61,66)(62,87)(64,70)(65,91)(68,73)(69,77)(75,81)(76,92)(79,85)(80,94)
        (83,89)(84,95)(88,90)(93,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,52)(16,28)(18,32)
        (19,56)(23,40)(26,31)(27,45)(29,48)(30,65)(33,39)(34,75)(35,60)(37,43)(38,70)(41,47)(42,67)(46,64)(49,55)
        (50,79)(51,68)(53,59)(54,83)(57,63)(58,87)(61,72)(62,90)(66,71)(69,76)(73,78)(74,93)(77,82)(80,86)(81,94)
        (84,89)(85,95)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,56)(16,33)(18,37)
        (19,57)(23,48)(24,45)(26,32)(27,67)(28,50)(30,36)(31,71)(34,52)(35,74)(38,44)(39,85)(40,60)(42,47)(43,89)
        (46,63)(51,64)(53,59)(54,84)(55,78)(58,62)(61,82)(65,70)(66,90)(68,73)(69,94)(72,77)(75,81)(76,95)(79,87)
        (80,96)(83,88)(86,92)(91,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,56)(16,33)(18,37)
        (19,57)(23,48)(24,45)(26,32)(27,67)(28,50)(30,36)(31,71)(34,52)(35,75)(38,44)(39,85)(40,60)(42,47)(43,89)
        (46,63)(51,64)(53,59)(54,84)(55,78)(58,62)(61,82)(65,70)(66,90)(68,74)(69,94)(72,77)(73,95)(76,81)(79,87)
        (80,96)(83,88)(86,92)(91,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,56)(16,32)(18,36)
        (19,59)(23,44)(25,31)(26,67)(27,49)(29,35)(30,71)(33,52)(34,74)(37,43)(38,85)(39,60)(41,47)(42,89)(45,51)
        (46,66)(50,63)(53,58)(54,84)(55,78)(57,62)(61,82)(64,70)(65,90)(68,73)(69,93)(72,77)(75,81)(76,94)(79,87)
        (80,95)(83,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,56)(16,32)(18,36)
        (19,59)(23,44)(25,31)(26,67)(27,49)(29,35)(30,71)(33,52)(34,75)(37,43)(38,85)(39,60)(41,47)(42,89)(45,51)
        (46,66)(50,63)(53,58)(54,84)(55,78)(57,62)(61,82)(64,70)(65,90)(68,74)(69,93)(72,77)(73,94)(76,81)(79,87)
        (80,95)(83,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,56)(15,32)(17,36)(18,59)
        (22,48)(23,44)(25,31)(26,70)(27,49)(29,35)(30,74)(33,52)(34,77)(37,43)(38,86)(39,62)(41,47)(42,89)(45,51)
        (46,69)(50,66)(53,58)(54,64)(55,81)(57,61)(60,65)(63,85)(67,73)(68,90)(71,76)(72,93)(75,80)(78,84)(79,94)
        (82,88)(83,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,56)(15,32)(17,36)(18,59)
        (22,48)(23,44)(25,31)(26,70)(27,49)(29,35)(30,74)(33,52)(34,78)(37,43)(38,86)(39,62)(41,47)(42,89)(45,51)
        (46,69)(50,66)(53,58)(54,64)(55,81)(57,61)(60,65)(63,85)(67,73)(68,90)(71,77)(72,93)(75,80)(76,94)(79,84)
        (82,88)(83,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,62)(23,44)(24,42)(26,32)(27,74)(28,52)(30,36)(31,78)(34,55)(35,81)(38,43)(39,47)(40,66)(45,51)(46,90)
        (49,54)(50,73)(53,70)(56,61)(57,64)(58,85)(60,65)(63,69)(67,89)(68,86)(71,77)(72,91)(75,80)(76,94)(79,84)
        (82,88)(83,95)(87,96)(92,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 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)(31,74)(34,39)(35,86)(36,59)(38,43)(41,47)(42,87)(45,63)(46,90)
        (49,54)(50,57)(51,78)(53,58)(56,62)(60,82)(61,79)(64,70)(65,84)(66,91)(68,73)(69,94)(72,77)(75,81)(76,95)
        (80,96)(83,89)(85,93)(88,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,41)(14,20)(15,53)(16,29)(18,33)(19,54)
        (22,28)(23,60)(24,45)(26,32)(27,64)(30,49)(31,67)(34,40)(35,75)(36,51)(38,44)(39,79)(42,48)(43,82)(46,56)
        (47,86)(50,55)(52,71)(57,63)(58,89)(59,87)(61,66)(62,93)(65,70)(68,74)(69,94)(72,78)(73,95)(76,81)(77,91)
        (80,85)(83,88)(84,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,41)(14,20)(15,53)(16,29)(18,33)(19,54)
        (22,28)(23,60)(24,45)(26,32)(27,64)(30,49)(31,68)(34,40)(35,75)(36,51)(38,44)(39,79)(42,48)(43,82)(46,56)
        (47,86)(50,55)(52,71)(57,63)(58,89)(59,87)(61,67)(62,93)(65,70)(66,94)(69,74)(72,78)(73,95)(76,81)(77,91)
        (80,85)(83,88)(84,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,59)(27,51)(29,35)(30,63)(33,40)(34,46)(38,42)(44,50)(45,64)(48,54)(49,67)(52,55)
        (53,71)(56,62)(57,82)(58,75)(60,66)(61,86)(65,70)(68,74)(69,87)(72,78)(73,90)(76,79)(77,93)(80,85)(81,94)
        (83,89)(84,95)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(26,59)(27,51)(29,35)(30,63)(33,45)(34,67)(38,42)(40,46)(44,50)(48,54)(49,68)(52,55)
        (53,71)(56,62)(57,82)(58,75)(60,66)(61,86)(64,70)(65,89)(69,74)(72,78)(73,90)(76,79)(77,93)(80,85)(81,94)
        (83,88)(84,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(27,67)(28,52)(30,36)(31,71)(34,56)(35,75)(38,43)(39,47)(40,58)(45,51)(46,80)
        (49,55)(50,83)(53,63)(54,87)(57,62)(59,79)(64,70)(65,90)(66,88)(68,74)(69,94)(72,78)(73,95)(76,82)(77,92)
        (81,86)(84,89)(85,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,40)(14,20)(15,47)(16,29)(18,33)(19,51)
        (22,28)(23,35)(24,41)(26,32)(27,56)(30,43)(31,59)(34,39)(36,55)(38,42)(44,50)(45,70)(46,63)(48,54)(49,74)
        (52,58)(53,78)(57,62)(60,66)(61,79)(64,67)(65,82)(68,73)(69,86)(71,77)(72,91)(75,81)(76,93)(80,85)(83,89)
        (84,94)(87,90)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92)(93,94,95,96) ), 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)(26,62)(27,51)(29,35)(30,66)(33,38)(34,58)(37,55)(40,46)(41,70)(42,56)(44,50)(45,74)(48,54)
        (49,78)(52,59)(53,82)(57,67)(60,65)(61,85)(63,69)(64,90)(68,73)(71,77)(72,91)(75,81)(76,93)(79,84)(80,94)
        (83,88)(86,89)(87,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,62)(27,51)(29,35)(30,66)(33,38)(34,58)(37,55)(40,46)(41,70)(42,56)(44,50)(45,74)(48,54)
        (49,78)(52,59)(53,82)(57,67)(60,65)(61,86)(63,69)(64,90)(68,73)(71,77)(72,91)(75,81)(76,93)(79,85)(80,94)
        (83,88)(84,95)(87,89)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,63)(23,44)(24,40)(26,32)(27,69)(28,52)(30,36)(31,73)(34,56)(35,77)(39,43)(41,58)(42,64)(45,51)(46,78)
        (47,59)(49,55)(50,81)(53,66)(54,85)(57,62)(61,65)(67,72)(68,89)(70,76)(71,90)(74,80)(75,93)(79,84)(82,88)
        (83,94)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,33)(18,37)
        (19,68)(23,48)(24,44)(26,32)(27,79)(28,56)(30,36)(31,81)(34,60)(35,85)(38,43)(39,46)(40,71)(42,47)(45,74)
        (49,55)(50,62)(51,75)(53,59)(54,90)(57,78)(58,93)(61,67)(63,89)(65,70)(66,76)(69,73)(72,77)(80,84)(82,88)
        (83,94)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(30,70)(33,50)(34,74)(37,43)(38,83)(39,58)(41,46)(42,86)(45,62)
        (49,63)(51,57)(52,60)(53,78)(56,61)(59,82)(64,69)(65,87)(67,73)(68,91)(71,77)(72,94)(75,81)(76,95)(79,85)
        (80,93)(84,89)(88,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(45,71)(46,57)(48,54)
        (49,74)(52,58)(53,78)(59,65)(60,87)(61,82)(63,69)(64,89)(67,73)(68,93)(72,77)(75,81)(76,94)(79,85)(80,95)
        (83,86)(84,91)(88,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,21)(13,19)(14,56)(15,32)(17,36)(18,60)
        (22,48)(23,44)(25,31)(26,69)(27,49)(29,35)(30,72)(33,52)(34,76)(37,43)(38,78)(39,64)(41,47)(42,74)(45,51)
        (46,71)(50,68)(53,59)(54,88)(55,80)(57,63)(58,91)(61,67)(62,94)(65,82)(66,87)(70,75)(73,79)(77,83)(81,84)
        (85,90)(86,95)(89,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86,87)(88,89,90)(91,92,93)(94,95,96) 
     ), 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)(29,68)(32,51)(33,71)(36,42)(37,77)(38,63)(40,46)(41,73)(44,50)(45,70)
        (49,67)(52,58)(53,83)(54,75)(56,62)(57,86)(60,66)(61,90)(64,79)(65,91)(69,74)(72,78)(76,80)(81,85)(82,94)
        (84,89)(87,93)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(27,62)(30,36)(31,72)(32,57)(34,40)(35,75)(38,44)(39,79)(42,61)(43,83)(46,52)(47,90)
        (48,65)(50,56)(51,94)(54,60)(55,95)(58,69)(59,92)(63,68)(64,84)(66,86)(67,81)(70,74)(71,88)(73,78)(76,82)
        (77,89)(80,85)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(18,36)
        (19,63)(23,44)(24,41)(26,32)(27,78)(28,52)(30,35)(31,82)(34,55)(37,43)(38,90)(39,67)(42,71)(45,51)(46,80)
        (47,72)(49,54)(50,77)(53,75)(56,62)(57,92)(58,83)(60,66)(61,88)(64,70)(65,94)(68,86)(69,95)(73,84)(74,91)
        (76,81)(79,85)(87,93)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,16)(10,20)(11,40)(14,19)(15,28)(17,32)(18,49)(21,27)
        (22,60)(23,44)(25,31)(26,64)(29,48)(30,68)(33,39)(34,79)(35,52)(37,43)(38,83)(41,47)(42,84)(45,56)(46,87)
        (50,55)(51,71)(53,75)(54,91)(57,63)(58,81)(59,88)(61,67)(62,77)(65,70)(66,94)(69,74)(72,90)(73,95)(76,82)
        (78,93)(80,86)(85,89)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92)(93,94,95,96) 
     ), 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)
        (19,64)(23,48)(24,45)(26,32)(27,75)(28,53)(30,36)(31,78)(34,56)(35,82)(38,44)(39,89)(40,67)(42,47)(43,93)
        (46,70)(49,55)(50,77)(51,71)(54,74)(57,63)(58,91)(59,83)(61,66)(62,88)(65,69)(68,86)(72,80)(73,94)(76,81)
        (79,85)(84,95)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,40)(14,20)(15,52)(16,29)(18,33)(19,53)
        (22,28)(23,63)(24,44)(26,32)(27,67)(30,48)(31,70)(34,39)(35,82)(36,56)(38,43)(41,47)(42,83)(45,59)(46,86)
        (49,55)(50,81)(51,74)(54,58)(57,78)(60,66)(61,76)(62,90)(64,69)(65,72)(68,73)(71,77)(75,93)(79,85)(80,94)
        (84,89)(87,92)(88,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92)(93,94,95,96) ), 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)(26,60)(27,49)(29,35)(30,61)(33,39)(34,64)(37,52)(38,68)(41,47)(42,79)(43,53)(45,51)(46,82)
        (50,56)(54,75)(55,72)(57,63)(58,93)(59,83)(62,67)(65,71)(66,94)(69,74)(70,89)(73,86)(76,81)(77,92)(78,87)
        (80,85)(84,90)(88,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)(93,94,95,96) 
     ), 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)(26,64)(27,52)(29,35)(30,68)(33,39)(34,69)(37,56)(38,72)(41,47)(42,83)(43,57)(45,51)(46,86)
        (49,55)(50,90)(53,60)(54,91)(58,79)(59,76)(61,67)(62,81)(63,88)(65,71)(66,95)(70,75)(73,78)(74,96)(77,93)
        (80,85)(82,94)(84,89)(87,92),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,33)( 8,17)(10,21)(11,36)(14,20)(15,48)(16,29)(18,32)(19,51)
        (22,28)(23,63)(24,40)(26,31)(27,66)(30,44)(34,39)(35,55)(37,43)(38,71)(41,59)(42,74)(45,50)(46,85)(47,67)
        (49,54)(52,58)(53,86)(56,70)(57,89)(60,65)(61,84)(62,78)(64,69)(68,81)(72,77)(73,90)(75,80)(76,96)(79,93)
        (82,88)(83,94)(87,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,32)( 8,17)(10,21)(11,36)(14,20)(15,48)(16,26)(18,29)(19,52)
        (22,28)(23,63)(24,40)(27,44)(30,35)(31,55)(33,39)(34,67)(37,43)(38,70)(41,59)(42,74)(45,51)(46,81)(47,64)
        (49,54)(50,85)(53,58)(56,66)(57,86)(60,65)(61,84)(62,78)(68,73)(69,89)(71,77)(72,90)(75,80)(76,96)(79,93)
        (82,88)(83,94)(87,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,57)(16,32)(18,36)
        (19,61)(23,43)(24,40)(26,31)(27,77)(28,50)(30,35)(33,53)(34,78)(38,42)(39,65)(41,69)(44,49)(45,76)(46,70)
        (48,52)(51,73)(54,60)(55,93)(56,81)(58,64)(59,94)(62,68)(63,95)(66,72)(67,91)(71,85)(74,80)(75,86)(79,84)
        (82,89)(83,87)(88,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49)(50,51,52)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,58)(16,31)(18,35)
        (19,59)(23,43)(25,30)(26,70)(27,51)(29,34)(32,54)(33,71)(36,42)(37,82)(38,62)(40,46)(41,83)(44,50)(45,86)
        (48,53)(49,90)(52,66)(55,61)(56,64)(57,74)(60,65)(63,78)(67,73)(68,93)(69,91)(72,77)(75,81)(76,94)(79,85)
        (80,95)(84,89)(87,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)
        (19,59)(23,40)(26,31)(27,48)(29,51)(30,64)(33,39)(34,75)(35,60)(37,43)(38,78)(41,47)(42,82)(45,50)(46,86)
        (49,63)(52,58)(53,93)(54,67)(56,62)(57,94)(61,71)(65,70)(66,87)(68,89)(69,84)(72,77)(73,91)(74,95)(76,81)
        (79,85)(80,92)(83,88)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,23)(11,47)(12,21)(14,19)(15,38)(16,31)(18,35)
        (22,43)(24,30)(25,62)(26,51)(28,34)(29,66)(32,54)(33,70)(36,42)(37,55)(40,46)(41,74)(44,50)(45,78)(48,53)
        (49,82)(52,58)(56,77)(57,71)(59,65)(60,89)(61,83)(63,69)(64,93)(67,73)(68,94)(72,85)(75,81)(76,86)(79,84)
        (80,92)(87,91)(88,95)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,20)(13,18)(14,38)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,62)(26,48)(28,34)(29,66)(32,51)(33,67)(36,42)(37,52)(40,46)(41,74)(44,55)(45,78)(49,58)
        (50,56)(53,77)(54,70)(57,82)(59,65)(60,89)(61,83)(63,69)(64,93)(68,73)(71,85)(72,94)(75,81)(76,86)(79,84)
        (80,92)(87,91)(88,95)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,59)(23,40)(25,31)(26,70)(27,48)(29,35)(30,74)(33,51)(34,75)(38,43)(39,62)(41,47)(42,83)(45,50)(46,86)
        (49,66)(52,58)(53,93)(54,78)(56,61)(57,94)(60,65)(63,82)(64,95)(67,73)(68,92)(69,87)(71,77)(72,80)(76,81)
        (79,89)(84,88)(85,91)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,23)(11,47)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,43)(24,30)(25,66)(26,51)(28,34)(29,70)(32,54)(33,71)(36,42)(37,82)(38,59)(40,46)(41,83)(44,50)(45,86)
        (48,53)(49,90)(52,62)(55,61)(56,81)(57,74)(60,78)(63,69)(64,96)(65,91)(67,73)(68,76)(72,77)(75,93)(79,85)
        (80,94)(84,89)(87,92)(88,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,52)(15,29)(17,32)(18,56)
        (22,44)(23,40)(25,31)(26,71)(27,45)(30,48)(33,39)(34,79)(35,60)(37,43)(38,83)(41,64)(42,87)(46,67)(47,65)
        (49,55)(50,77)(51,72)(53,59)(54,93)(57,63)(58,94)(61,75)(62,95)(66,90)(68,74)(69,85)(70,91)(73,81)(76,82)
        (78,96)(80,86)(84,89)(88,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,23)(11,47)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,43)(24,30)(25,66)(26,51)(28,34)(29,67)(32,54)(33,70)(36,42)(37,75)(38,59)(40,46)(41,78)(44,50)(45,82)
        (48,53)(49,86)(52,62)(55,61)(56,93)(57,71)(60,74)(63,69)(64,92)(65,87)(68,73)(72,89)(76,81)(77,94)(79,85)
        (80,95)(83,88)(84,91)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,59)(23,40)(26,31)(27,48)(29,51)(30,67)(33,39)(34,75)(35,62)(37,43)(38,78)(41,47)(42,82)(45,50)(46,86)
        (49,66)(52,58)(53,93)(54,70)(56,61)(57,94)(60,65)(63,74)(64,95)(68,73)(69,87)(71,89)(72,84)(76,81)(77,91)
        (79,85)(80,92)(83,88)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,59)(23,40)(26,31)(27,48)(29,51)(30,64)(33,39)(34,75)(35,60)(37,43)(38,79)(41,47)(42,83)(45,50)(46,87)
        (49,63)(52,58)(53,94)(54,67)(56,62)(57,74)(61,71)(65,70)(66,88)(68,90)(69,85)(72,78)(73,95)(76,82)(77,92)
        (80,86)(81,93)(84,89)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,12)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,52)(15,28)(17,32)(18,56)
        (22,44)(23,40)(26,31)(27,45)(29,48)(30,67)(33,39)(34,78)(35,59)(37,43)(38,82)(41,63)(42,86)(46,66)(47,64)
        (49,55)(50,77)(51,70)(53,58)(54,61)(57,62)(60,74)(65,90)(68,73)(69,91)(71,93)(72,88)(75,81)(76,94)(79,85)
        (80,95)(83,89)(84,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(37,79)(38,60)(40,46)(41,82)(44,63)(45,86)
        (49,66)(50,64)(52,58)(53,94)(54,74)(56,62)(57,95)(61,78)(65,90)(68,73)(69,91)(71,77)(72,88)(75,93)(76,84)
        (80,85)(81,96)(83,89)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)
        (19,60)(23,43)(25,31)(26,71)(27,51)(29,35)(30,75)(33,55)(34,78)(37,42)(38,89)(39,63)(41,46)(44,50)(45,90)
        (48,54)(49,93)(52,67)(53,94)(56,62)(57,65)(58,81)(61,66)(64,85)(68,74)(69,87)(70,95)(72,77)(73,83)(76,80)
        (79,84)(82,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,62)(23,43)(25,31)(26,73)(27,51)(29,35)(30,77)(33,55)(34,78)(37,42)(38,89)(39,65)(41,46)(44,50)(45,90)
        (48,54)(49,93)(52,69)(53,94)(56,61)(57,67)(58,81)(60,64)(63,68)(66,85)(70,76)(71,87)(72,95)(74,80)(75,83)
        (79,84)(82,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,17)( 7,35)( 8,14)(10,20)(11,43)(12,18)(15,32)(16,28)(19,39)(21,27)
        (22,59)(23,47)(25,31)(26,63)(29,51)(30,67)(33,38)(34,52)(36,42)(37,72)(40,46)(41,75)(44,50)(45,79)(48,55)
        (49,80)(53,71)(54,68)(56,62)(57,87)(58,81)(60,66)(61,91)(64,70)(65,94)(69,83)(73,78)(74,84)(76,82)(77,90)
        (85,89)(86,95)(88,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,47)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,63)(24,48)(26,32)(27,67)(30,51)(31,70)(34,39)(35,52)(37,43)(38,79)(41,55)(42,82)(45,50)(46,56)
        (49,59)(53,78)(54,74)(57,62)(58,83)(60,66)(61,90)(64,69)(65,93)(68,73)(71,77)(72,94)(75,86)(76,95)(80,85)
        (81,87)(84,89)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,59)(23,44)(24,40)(26,31)(27,75)(28,48)(30,35)(33,51)(34,76)(38,43)(39,63)(41,67)(42,83)(46,50)(47,68)
        (49,71)(52,58)(53,90)(54,79)(56,62)(57,94)(60,66)(61,95)(64,82)(65,92)(69,74)(70,84)(72,78)(73,89)(77,81)
        (80,86)(85,88)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,59)(23,44)(24,40)(26,31)(27,75)(28,48)(30,35)(33,51)(34,76)(38,43)(39,63)(41,67)(42,83)(45,50)(46,68)
        (49,71)(52,58)(53,90)(54,79)(56,62)(57,94)(60,66)(61,95)(64,82)(65,92)(69,74)(70,84)(72,78)(73,89)(77,81)
        (80,86)(85,88)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(27,78)(28,51)(31,55)(34,40)(35,86)(36,67)(38,44)(39,90)(42,71)(43,77)(46,50)
        (47,72)(49,54)(52,74)(53,73)(56,62)(57,84)(58,79)(60,66)(61,93)(64,70)(65,94)(68,82)(69,95)(75,81)(76,91)
        (80,88)(83,89)(85,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,66)(23,48)(24,44)(26,31)(27,54)(29,35)(30,78)(33,58)(34,81)(37,43)(38,87)(39,70)(41,47)(42,83)(45,74)
        (46,80)(49,53)(50,75)(52,57)(55,77)(56,76)(59,65)(60,91)(61,85)(63,69)(64,93)(67,73)(68,94)(71,89)(72,95)
        (79,84)(82,88)(86,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,62)(16,33)(18,37)
        (19,66)(23,49)(24,45)(26,32)(27,78)(28,55)(30,36)(31,81)(34,59)(35,85)(38,44)(39,87)(40,70)(42,48)(43,83)
        (46,74)(47,80)(50,54)(51,75)(53,58)(56,77)(57,76)(60,65)(61,89)(63,69)(64,94)(67,73)(68,95)(71,91)(72,96)
        (79,84)(82,88)(86,92)(90,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,33)(18,37)
        (19,68)(23,49)(24,45)(26,32)(27,82)(28,56)(30,36)(31,86)(34,60)(35,87)(38,44)(39,90)(40,71)(42,48)(43,93)
        (46,74)(47,81)(50,55)(51,75)(53,59)(54,76)(57,78)(58,77)(61,67)(62,95)(63,84)(65,70)(66,92)(69,73)(72,89)
        (79,85)(80,94)(83,88)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,29)(18,33)
        (19,64)(23,45)(24,41)(27,32)(28,52)(30,56)(31,77)(34,40)(35,88)(36,68)(38,44)(39,82)(42,72)(43,79)(46,51)
        (47,73)(49,55)(50,74)(53,76)(54,75)(57,63)(58,86)(59,80)(61,67)(62,91)(65,71)(66,94)(69,84)(70,95)(78,83)
        (81,89)(85,90)(87,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86,87)(88,89,90)
        (91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,64)(23,49)(24,45)(26,32)(27,79)(28,56)(30,36)(31,83)(34,60)(35,87)(38,44)(39,85)(40,68)(42,48)(43,81)
        (46,72)(47,78)(50,55)(51,73)(53,59)(54,74)(57,76)(58,75)(62,67)(63,91)(65,71)(66,95)(69,89)(70,96)(77,82)
        (80,86)(84,90)(88,93)(92,94),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89,90)
        (91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,63)(16,33)(18,36)
        (19,64)(23,48)(24,44)(26,32)(27,73)(28,55)(30,35)(31,77)(34,59)(37,43)(38,82)(39,67)(41,47)(42,85)(45,51)
        (46,89)(49,54)(50,93)(53,58)(56,70)(57,94)(60,66)(61,84)(62,78)(65,69)(68,81)(71,76)(72,95)(74,80)(75,91)
        (79,87)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,63)(16,33)(18,36)
        (19,66)(23,48)(24,44)(26,32)(27,73)(28,56)(30,35)(31,77)(34,59)(37,43)(38,82)(39,67)(41,47)(42,85)(45,51)
        (46,89)(49,55)(50,93)(53,58)(54,94)(57,70)(60,65)(61,84)(62,78)(64,69)(68,81)(71,76)(72,95)(74,80)(75,91)
        (79,87)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), 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)(31,75)(34,40)(35,86)(36,67)(38,44)(39,90)(42,70)(43,93)(46,51)
        (47,54)(48,71)(50,55)(53,74)(57,62)(58,84)(59,78)(61,66)(64,69)(65,85)(68,82)(72,77)(73,94)(76,81)(79,88)
        (80,95)(83,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,33)(18,36)
        (19,60)(23,44)(24,40)(26,32)(27,74)(28,48)(30,35)(31,77)(34,52)(38,43)(39,63)(41,67)(42,82)(46,51)(47,68)
        (49,70)(50,86)(53,59)(54,93)(55,78)(57,62)(58,94)(61,66)(64,81)(65,95)(69,85)(71,76)(72,92)(73,87)(75,80)
        (79,89)(83,88)(84,91)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,45)(12,21)(14,19)(15,56)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,68)(27,48)(30,52)(33,39)(34,76)(35,57)(37,43)(38,79)(41,60)(42,83)(46,51)(47,61)
        (49,64)(50,62)(53,59)(54,75)(55,69)(58,72)(63,87)(65,71)(66,94)(67,88)(70,90)(73,78)(74,91)(77,82)(80,86)
        (81,92)(84,89)(85,96)(93,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,45)(12,21)(14,19)(15,56)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,67)(27,48)(30,52)(33,39)(34,75)(35,57)(37,43)(38,78)(41,60)(42,82)(46,51)(47,61)
        (49,63)(50,87)(53,59)(54,74)(55,68)(58,71)(62,86)(64,70)(65,94)(66,88)(69,90)(72,77)(73,91)(76,81)(79,85)
        (80,92)(83,89)(84,96)(93,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,57)(16,33)(18,37)
        (19,61)(23,45)(24,41)(26,32)(27,76)(28,49)(30,36)(31,80)(34,53)(35,81)(39,44)(40,64)(42,68)(43,84)(47,52)
        (48,69)(50,72)(51,70)(54,60)(55,90)(56,78)(58,63)(59,94)(62,67)(65,83)(66,95)(71,87)(73,79)(74,93)(75,88)
        (77,82)(85,89)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(83,84,85,86)(87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(26,71)(27,55)(29,35)(30,75)(33,59)(34,76)(37,43)(38,79)(39,64)(41,47)(42,82)(45,51)
        (46,85)(49,54)(50,89)(53,58)(56,67)(57,90)(60,66)(61,93)(62,73)(65,78)(68,74)(69,96)(70,91)(72,77)(80,84)
        (81,94)(83,88)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,49)(12,21)(14,19)(15,60)(16,32)(18,36)
        (22,48)(23,44)(25,31)(26,71)(27,52)(29,35)(30,75)(33,56)(34,76)(37,43)(38,81)(39,61)(41,47)(42,82)(45,64)
        (46,85)(50,55)(51,65)(53,67)(54,90)(57,63)(58,93)(59,73)(62,78)(66,89)(68,74)(69,96)(70,91)(72,77)(79,84)
        (80,94)(83,88)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,63)(16,33)(18,37)
        (19,64)(23,48)(24,44)(26,32)(27,75)(28,56)(30,36)(31,79)(34,59)(35,80)(38,43)(39,67)(41,47)(42,83)(45,51)
        (46,85)(49,55)(50,89)(53,58)(54,90)(57,71)(60,66)(61,93)(62,77)(65,70)(68,82)(69,94)(72,78)(73,96)(74,91)
        (76,81)(84,88)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,63)(23,48)(24,44)(26,32)(27,78)(28,53)(30,36)(31,82)(34,56)(35,83)(38,43)(39,67)(41,47)(42,68)(45,71)
        (46,85)(49,55)(50,90)(51,72)(54,74)(57,62)(58,93)(59,80)(61,66)(64,70)(65,94)(69,88)(73,89)(75,81)(76,96)
        (77,91)(79,84)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,29)(18,33)
        (19,62)(23,44)(24,40)(27,32)(28,51)(30,55)(31,71)(34,39)(35,66)(37,43)(38,79)(41,47)(42,82)(45,50)(46,86)
        (49,54)(52,70)(53,87)(56,61)(57,93)(58,74)(60,65)(63,69)(64,94)(67,78)(68,95)(72,77)(73,88)(75,90)(76,84)
        (80,85)(81,92)(83,89)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,57)(16,29)(18,33)
        (19,61)(23,45)(24,41)(27,32)(28,50)(30,53)(31,68)(34,40)(35,75)(36,62)(38,44)(39,79)(42,64)(43,83)(46,52)
        (47,88)(48,65)(51,67)(54,60)(55,94)(56,71)(58,63)(59,78)(66,87)(69,74)(70,89)(72,91)(73,85)(76,82)(77,95)
        (80,86)(81,93)(84,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), 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)(30,75)(31,60)(33,39)(34,76)(37,63)(38,79)(42,47)(43,64)(45,67)(46,65)
        (49,55)(50,90)(51,68)(53,59)(54,91)(57,62)(58,94)(61,71)(66,83)(69,86)(70,84)(72,78)(73,88)(74,95)(77,82)
        (80,85)(81,89)(87,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(18,59)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,74)(31,62)(33,39)(34,75)(37,43)(38,78)(41,46)(42,82)(45,50)(48,66)
        (49,83)(52,58)(53,90)(54,67)(56,61)(57,93)(60,65)(63,70)(64,94)(68,86)(69,84)(71,77)(72,88)(73,95)(76,81)
        (79,85)(80,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(30,74)(31,60)(33,39)(34,75)(37,63)(38,78)(42,47)(43,64)(45,66)(46,83)
        (49,55)(50,90)(51,67)(53,59)(54,93)(57,62)(58,94)(61,70)(65,82)(68,86)(69,84)(71,77)(72,88)(73,95)(76,81)
        (79,85)(80,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(18,59)
        (22,40)(23,36)(26,51)(27,48)(29,35)(30,74)(31,62)(33,39)(34,75)(37,43)(38,78)(41,47)(42,82)(45,50)(46,83)
        (49,66)(52,58)(53,90)(54,67)(56,61)(57,94)(60,65)(63,70)(64,95)(68,86)(69,84)(71,77)(72,88)(73,92)(76,81)
        (79,85)(80,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,52)(12,21)(14,19)(15,32)(17,36)(18,60)
        (22,48)(23,44)(25,31)(26,70)(27,56)(29,35)(30,74)(33,59)(34,78)(37,43)(38,82)(39,62)(41,47)(42,85)(45,51)
        (46,89)(49,55)(50,93)(53,58)(54,94)(57,66)(61,65)(63,81)(64,79)(67,73)(68,91)(69,95)(71,77)(72,87)(75,80)
        (76,84)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,68)(27,52)(29,35)(30,71)(33,55)(34,75)(37,42)(38,60)(40,46)(41,83)(44,63)(45,86)
        (48,54)(49,94)(50,64)(53,67)(56,62)(57,85)(58,78)(61,82)(65,90)(66,87)(69,74)(70,95)(72,77)(73,92)(76,81)
        (79,88)(80,93)(84,89)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(16,33)(18,37)
        (19,64)(23,47)(24,44)(26,32)(27,79)(28,55)(30,36)(31,82)(34,59)(35,85)(38,43)(39,67)(41,46)(42,68)(45,71)
        (48,54)(49,90)(50,72)(52,58)(53,93)(56,75)(57,94)(60,66)(61,73)(62,89)(65,70)(69,74)(76,81)(77,87)(78,95)
        (80,84)(83,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,63)(23,46)(24,43)(26,31)(27,54)(29,35)(30,74)(33,58)(34,77)(37,42)(38,66)(40,45)(41,86)(44,69)(47,53)
        (48,89)(49,70)(51,57)(52,93)(55,73)(56,94)(59,65)(60,88)(61,81)(64,68)(67,85)(71,82)(72,87)(75,80)(76,95)
        (78,84)(79,91)(83,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(23,43)(25,31)(26,71)(27,52)(29,35)(30,72)(33,55)(34,75)(37,42)(38,86)(39,60)(41,46)(44,63)(45,87)
        (48,54)(49,94)(50,64)(53,67)(56,62)(57,85)(58,78)(61,82)(65,90)(66,88)(68,74)(69,80)(70,95)(73,77)(76,81)
        (79,92)(83,89)(84,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(27,74)(28,52)(30,35)(33,55)(34,75)(37,42)(38,86)(39,63)(41,46)(44,66)(45,87)
        (48,54)(49,94)(50,67)(53,70)(56,62)(57,85)(58,78)(61,65)(64,82)(68,90)(69,88)(71,77)(72,80)(73,95)(76,81)
        (79,92)(83,89)(84,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(30,72)(31,57)(33,39)(34,76)(37,60)(38,77)(41,47)(42,84)(43,61)(46,64)
        (49,55)(50,91)(51,65)(53,59)(54,94)(58,68)(62,80)(63,78)(66,87)(67,85)(69,75)(70,89)(71,95)(73,79)(74,83)
        (81,86)(82,90)(88,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86)(87,88,89,90)(91,92,93)(94,95,96) 
     ), 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)(16,33)(18,37)
        (19,67)(23,47)(24,44)(26,32)(27,78)(28,55)(30,36)(31,81)(34,59)(35,82)(38,43)(39,70)(41,46)(42,90)(45,73)
        (48,54)(49,86)(50,74)(52,58)(53,93)(56,77)(57,94)(60,66)(61,75)(62,85)(64,69)(65,92)(68,72)(71,89)(76,91)
        (79,84)(80,95)(83,88)(87,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,59)
        (22,39)(23,36)(26,51)(27,47)(29,35)(30,77)(31,62)(33,38)(34,81)(37,66)(40,46)(41,85)(42,67)(44,50)(45,89)
        (48,69)(49,90)(52,58)(53,76)(54,70)(56,61)(57,64)(60,65)(63,73)(68,82)(71,93)(72,91)(74,80)(75,94)(78,84)
        (79,95)(83,88)(86,92)(87,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,73)(27,51)(29,35)(30,74)(33,55)(34,75)(37,42)(38,81)(39,66)(41,46)(44,50)(45,82)
        (48,54)(49,85)(52,69)(53,89)(56,62)(57,93)(58,71)(60,65)(61,80)(64,68)(67,77)(70,76)(72,90)(78,84)(79,94)
        (83,88)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,38)( 8,17)(10,24)(11,46)(12,22)(14,20)(15,58)(16,31)(18,35)
        (19,62)(23,42)(25,30)(26,74)(27,50)(29,34)(32,54)(33,75)(36,41)(37,66)(39,45)(40,67)(43,49)(44,77)(47,53)
        (48,81)(51,70)(52,85)(55,61)(56,89)(57,72)(59,65)(60,93)(63,69)(64,94)(68,80)(71,76)(73,86)(78,84)(79,95)
        (82,88)(83,91)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,18)( 6,30)( 7,15)( 9,22)(10,19)(12,17)(13,46)(14,23)(16,26)(20,38)(21,34)
        (24,42)(25,39)(27,33)(28,59)(29,47)(31,37)(32,62)(35,50)(36,66)(40,54)(41,51)(43,49)(44,82)(45,55)(48,58)
        (52,74)(53,70)(56,78)(57,75)(60,65)(61,83)(63,69)(64,91)(67,73)(68,93)(71,77)(72,89)(76,86)(79,85)(80,95)
        (81,87)(84,90)(88,94)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17)(18,19,20,21)(22,23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(30,55)(32,38)(33,64)(36,42)(37,67)(40,59)(41,71)(44,50)(45,78)(46,60)(48,54)
        (49,82)(52,58)(53,85)(56,63)(57,86)(61,75)(62,72)(65,70)(66,89)(68,74)(69,96)(73,93)(76,81)(77,94)(79,84)
        (80,91)(83,88)(87,92)(90,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(30,51)(32,55)(33,64)(37,59)(38,56)(40,46)(41,78)(42,60)(44,50)(45,82)(48,54)
        (49,83)(52,63)(53,86)(57,71)(58,67)(61,75)(62,72)(65,70)(66,89)(68,74)(69,96)(73,93)(76,81)(77,94)(79,85)
        (80,91)(84,88)(87,92)(90,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(19,56)
        (22,28)(23,62)(24,44)(26,32)(27,66)(30,48)(31,70)(34,39)(35,57)(37,43)(38,54)(41,47)(42,50)(45,59)(46,75)
        (49,55)(51,74)(53,58)(60,65)(61,78)(63,69)(64,83)(67,73)(68,86)(71,77)(72,90)(76,81)(79,82)(80,91)(84,89)
        (85,94)(87,93)(88,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,43)(23,40)(25,31)(26,67)(27,51)(29,35)(30,71)(33,55)(34,75)(37,42)(38,60)(41,46)(44,50)(45,61)(48,54)
        (49,57)(52,63)(53,80)(56,62)(58,79)(64,70)(65,91)(66,83)(68,74)(69,92)(72,78)(73,89)(76,82)(77,94)(81,86)
        (84,87)(85,95)(88,93)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), 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)(28,52)(31,55)(34,40)(35,82)(36,64)(38,44)(39,86)(42,67)(43,90)(46,51)
        (47,68)(49,54)(50,94)(53,70)(56,62)(57,80)(58,75)(60,66)(61,81)(65,78)(69,93)(71,77)(72,88)(73,95)(76,84)
        (79,85)(83,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92)(93,94,95,96) ), 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)(23,41)(24,37)(26,32)(27,74)(28,48)(31,51)(35,40)(36,63)(38,67)(39,79)(42,47)(43,68)(45,50)(46,83)
        (49,70)(52,58)(53,90)(54,75)(56,62)(57,91)(60,66)(61,92)(64,78)(65,88)(69,82)(71,77)(72,95)(73,84)(76,86)
        (80,85)(81,94)(87,93)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,58)(16,33)(18,36)
        (19,62)(23,44)(24,40)(26,32)(27,78)(28,50)(30,35)(31,79)(34,54)(38,43)(39,66)(41,70)(42,83)(45,49)(46,71)
        (48,53)(51,74)(52,72)(55,61)(56,89)(57,80)(59,65)(60,93)(63,69)(64,94)(67,82)(68,95)(73,86)(75,81)(76,92)
        (77,87)(84,88)(85,91)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,77)(28,55)(30,35)(33,58)(34,78)(37,43)(38,82)(39,66)(41,47)(42,83)(45,70)
        (46,85)(49,54)(50,71)(52,57)(53,90)(56,73)(59,65)(60,93)(61,79)(64,69)(67,81)(68,94)(72,89)(74,80)(75,96)
        (76,91)(84,88)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,33)(18,36)
        (19,63)(23,48)(24,44)(26,32)(27,77)(28,55)(30,35)(31,78)(34,58)(37,43)(38,82)(39,66)(41,47)(42,83)(45,70)
        (46,85)(49,54)(50,71)(52,57)(53,90)(56,73)(59,65)(60,93)(61,79)(64,69)(67,81)(68,94)(72,89)(74,80)(75,96)
        (76,91)(84,88)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,17)( 7,35)( 8,14)(10,20)(11,43)(12,18)(15,31)(16,27)(19,39)(21,26)
        (22,59)(23,47)(25,30)(28,51)(29,60)(32,38)(33,71)(34,52)(36,42)(37,75)(40,46)(41,76)(44,50)(45,79)(48,55)
        (49,83)(53,67)(54,63)(56,62)(57,93)(58,86)(61,66)(64,70)(65,94)(68,74)(69,95)(72,78)(73,91)(77,82)(80,85)
        (81,92)(84,88)(87,89)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,69)(23,49)(24,45)(26,32)(27,83)(28,57)(30,36)(31,84)(34,61)(35,87)(38,44)(39,63)(40,72)(42,48)(43,91)
        (46,75)(47,82)(50,56)(51,95)(52,76)(54,60)(55,96)(58,79)(59,78)(62,68)(64,90)(66,71)(67,73)(70,74)(77,94)
        (80,86)(81,92)(85,89)(88,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(83,84,85,86)(87,88,89)(90,91,92,93)
        (94,95,96) ), 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)
        (19,69)(23,49)(24,45)(26,32)(27,83)(28,57)(30,36)(31,86)(34,61)(35,87)(38,44)(39,63)(40,72)(42,48)(43,91)
        (46,75)(47,82)(50,56)(51,95)(52,76)(54,60)(55,96)(58,79)(59,78)(62,68)(64,90)(66,71)(67,73)(70,74)(77,94)
        (80,85)(81,92)(84,89)(88,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(27,80)(28,53)(31,57)(34,40)(35,86)(36,69)(38,44)(39,90)(42,72)(43,79)(46,52)
        (47,95)(48,73)(50,56)(51,96)(54,76)(55,75)(58,64)(59,92)(60,81)(62,68)(63,88)(66,71)(67,85)(70,83)(74,94)
        (77,82)(78,91)(84,89)(87,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,60)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,80)(31,64)(33,39)(34,81)(37,68)(38,75)(41,47)(42,85)(43,69)(45,51)
        (46,86)(49,72)(50,71)(53,59)(54,78)(55,73)(57,63)(58,87)(61,67)(62,91)(65,76)(66,94)(70,84)(74,82)(77,83)
        (79,90)(88,93)(89,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86)(87,88,89,90)(91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,52)(12,21)(14,19)(15,32)(17,36)(18,61)
        (22,48)(23,44)(25,31)(26,76)(27,56)(29,35)(30,80)(33,60)(34,84)(37,43)(38,78)(39,64)(41,47)(42,74)(45,68)
        (46,75)(49,55)(50,92)(51,69)(53,59)(54,93)(57,72)(58,71)(62,67)(63,88)(65,82)(66,95)(70,91)(73,79)(77,83)
        (81,87)(85,90)(86,96)(89,94),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86,87)(88,89,90)(91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,33)(18,37)
        (19,65)(23,48)(24,44)(26,32)(27,71)(28,56)(30,36)(31,75)(34,60)(35,78)(38,43)(39,86)(40,62)(42,47)(45,51)
        (46,87)(49,55)(50,90)(53,59)(54,94)(57,67)(58,95)(61,66)(63,82)(68,74)(69,84)(70,92)(72,77)(73,80)(76,81)
        (79,85)(83,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), 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)(26,68)(27,52)(29,35)(30,72)(33,56)(34,75)(37,43)(38,57)(41,47)(42,83)(45,60)(46,86)
        (50,55)(51,61)(53,64)(54,95)(58,85)(59,79)(62,94)(63,90)(65,71)(66,81)(67,92)(69,74)(70,77)(73,78)(76,82)
        (80,88)(84,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), 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)
        (19,61)(23,48)(24,44)(26,31)(27,71)(28,52)(30,35)(33,56)(34,72)(37,43)(38,79)(39,58)(41,47)(42,80)(45,63)
        (46,83)(50,55)(51,64)(53,67)(54,92)(57,62)(59,75)(65,91)(66,87)(68,74)(69,94)(70,89)(73,78)(76,82)(77,95)
        (81,86)(84,90)(85,96)(88,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,33)(18,37)
        (19,67)(23,48)(24,44)(26,32)(27,75)(28,56)(30,36)(31,79)(34,60)(35,80)(38,43)(39,86)(40,68)(42,47)(45,51)
        (46,87)(49,55)(50,90)(53,59)(54,94)(57,71)(58,95)(61,66)(62,85)(63,77)(65,70)(69,82)(72,78)(73,84)(74,92)
        (76,81)(83,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,64)(23,45)(24,41)(26,32)(27,75)(28,53)(30,36)(31,79)(34,57)(35,80)(39,44)(40,68)(42,48)(43,83)(46,52)
        (47,86)(50,56)(51,90)(54,71)(55,91)(58,63)(59,93)(60,77)(62,67)(65,70)(66,94)(69,82)(72,78)(73,96)(74,88)
        (76,81)(84,89)(85,95)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,30)(18,33)
        (19,60)(23,44)(24,40)(26,32)(27,72)(28,48)(31,52)(34,39)(35,61)(37,43)(38,76)(41,64)(42,79)(46,51)(47,65)
        (49,68)(50,88)(53,59)(54,90)(55,73)(57,63)(58,94)(62,75)(66,87)(67,83)(69,74)(70,93)(71,85)(77,82)(78,95)
        (80,86)(81,92)(84,89)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,71)(27,51)(30,55)(33,39)(34,78)(35,60)(37,43)(38,81)(41,63)(42,85)(45,50)(46,64)
        (48,54)(49,65)(52,67)(53,90)(56,62)(57,93)(58,72)(61,74)(66,89)(68,73)(69,96)(70,91)(75,80)(76,83)(77,94)
        (79,84)(82,88)(86,92)(87,95),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,59)
        (22,39)(23,35)(26,51)(27,47)(29,34)(30,63)(32,38)(33,72)(36,42)(37,75)(40,46)(41,79)(44,50)(45,83)(48,67)
        (49,84)(52,58)(53,90)(54,68)(56,62)(57,94)(60,66)(61,95)(64,71)(65,92)(69,86)(70,81)(73,78)(74,88)(76,82)
        (77,89)(80,85)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(30,75)(31,59)(33,39)(34,78)(37,63)(38,82)(42,47)(43,64)(45,67)(46,91)
        (49,55)(50,74)(51,68)(53,58)(54,61)(57,62)(60,71)(65,90)(66,86)(69,93)(70,88)(72,77)(73,94)(76,81)(79,85)
        (80,95)(83,89)(84,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,58)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,74)(31,62)(33,39)(34,77)(37,65)(38,81)(41,46)(42,66)(44,50)(45,67)
        (48,69)(49,86)(52,57)(53,93)(54,70)(56,61)(59,64)(60,94)(63,73)(68,85)(71,89)(72,87)(75,80)(76,95)(78,84)
        (79,91)(82,88)(83,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,16)(10,24)(11,50)(12,21)(14,19)(15,32)(17,35)(18,59)
        (22,47)(23,43)(25,31)(26,73)(27,54)(29,34)(30,77)(33,58)(36,42)(37,82)(38,62)(40,46)(41,85)(44,65)(45,89)
        (48,53)(49,66)(51,57)(52,67)(55,69)(56,94)(60,64)(61,78)(63,81)(68,93)(70,76)(71,91)(72,95)(74,80)(75,87)
        (79,84)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  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)(27,70)(28,53)(30,36)(31,74)(34,56)(35,75)(38,43)(39,82)(40,58)(42,47)(45,63)
        (46,83)(49,55)(50,90)(51,64)(54,67)(57,62)(59,78)(65,89)(66,86)(68,73)(69,91)(71,77)(72,95)(76,81)(79,85)
        (80,96)(84,88)(87,93)(92,94),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(23,48)(24,44)(26,32)(27,75)(28,55)(30,36)(31,78)(34,59)(35,81)(38,43)(39,89)(40,65)(42,47)(45,67)
        (46,90)(49,54)(50,93)(51,68)(53,58)(56,71)(57,94)(60,66)(61,92)(62,85)(69,86)(70,91)(72,77)(73,83)(74,95)
        (76,80)(79,84)(82,88)(87,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,57)(16,33)(18,37)
        (19,60)(23,45)(24,41)(26,32)(27,72)(28,50)(30,36)(31,75)(34,53)(35,78)(39,44)(40,61)(42,64)(43,87)(46,52)
        (47,94)(48,65)(51,68)(54,59)(55,89)(56,82)(58,63)(62,86)(66,93)(67,90)(69,74)(70,80)(71,95)(73,77)(76,81)
        (79,85)(83,91)(84,96)(88,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(26,73)(27,55)(29,34)(32,58)(33,74)(36,42)(37,81)(38,63)(40,46)(41,82)(44,65)(45,85)
        (48,54)(49,93)(50,66)(52,57)(53,94)(56,69)(59,64)(60,84)(61,77)(67,89)(68,86)(70,76)(71,91)(72,95)(75,80)
        (78,87)(79,92)(83,88)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,46)(23,42)(25,30)(26,70)(27,50)(29,34)(32,54)(33,71)(36,41)(37,82)(38,59)(40,45)(43,62)(44,83)(48,53)
        (49,63)(51,66)(52,90)(55,61)(56,81)(57,74)(60,78)(64,89)(65,86)(67,73)(68,76)(69,91)(72,77)(75,93)(79,85)
        (80,94)(84,88)(87,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,55)(16,28)(18,32)
        (22,43)(23,39)(26,31)(27,48)(29,51)(30,64)(33,38)(34,56)(36,42)(37,72)(40,59)(41,75)(44,50)(45,83)(46,60)
        (49,63)(52,58)(53,90)(54,67)(57,71)(61,82)(62,79)(65,70)(66,84)(68,86)(69,95)(73,78)(74,91)(76,81)(77,88)
        (80,93)(85,94)(87,92)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(18,55)
        (22,39)(23,35)(26,47)(27,43)(29,34)(30,59)(32,38)(33,72)(36,63)(37,75)(41,46)(42,64)(44,67)(45,82)(48,54)
        (49,89)(50,68)(52,58)(53,90)(56,62)(57,91)(60,71)(61,87)(65,81)(66,78)(69,85)(70,83)(73,77)(74,93)(76,80)
        (79,94)(84,95)(86,92)(88,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(26,67)(27,49)(30,52)(33,39)(34,72)(35,57)(37,43)(38,75)(41,60)(42,78)(45,51)(46,86)
        (47,61)(50,64)(53,59)(54,93)(55,68)(58,71)(62,85)(63,82)(65,70)(66,87)(69,89)(73,77)(74,94)(76,81)(79,84)
        (80,95)(83,91)(88,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) 
     ), 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)(18,33)
        (19,57)(23,44)(24,40)(26,32)(27,71)(28,49)(31,52)(34,39)(35,60)(37,43)(38,76)(41,64)(42,78)(45,51)(46,86)
        (47,65)(50,68)(53,59)(54,93)(55,72)(58,63)(61,75)(62,94)(66,85)(67,82)(69,74)(70,87)(73,89)(77,81)(79,84)
        (80,95)(83,91)(88,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,39)(23,35)(26,47)(27,44)(29,34)(30,73)(31,59)(33,38)(36,62)(37,74)(40,46)(41,81)(42,63)(45,65)(48,54)
        (49,86)(50,66)(52,58)(53,89)(56,61)(57,90)(60,69)(64,77)(67,85)(68,82)(70,76)(71,95)(72,91)(75,80)(78,84)
        (79,96)(83,93)(87,92)(88,94),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,62)(16,32)(18,36)
        (22,46)(23,43)(25,31)(26,70)(27,54)(29,35)(30,73)(33,58)(34,77)(37,42)(38,68)(39,63)(41,45)(44,65)(47,53)
        (48,82)(49,66)(51,57)(52,85)(55,69)(56,89)(59,64)(60,67)(61,81)(71,76)(72,90)(74,80)(75,94)(78,84)(79,95)
        (83,88)(86,92)(87,96)(91,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)(93,94,95,96) ), 
  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)(16,33)(18,37)
        (19,67)(23,47)(24,44)(26,32)(27,81)(28,55)(30,36)(31,82)(34,59)(35,85)(38,43)(39,70)(41,46)(42,71)(45,74)
        (48,54)(49,61)(50,75)(52,58)(53,90)(56,78)(57,93)(60,66)(62,89)(64,69)(65,76)(68,73)(72,77)(79,84)(80,94)
        (83,88)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), 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)
        (53,72)(56,67)(57,75)(60,66)(61,87)(62,68)(65,71)(69,83)(70,79)(73,78)(74,88)(76,82)(77,92)(80,86)(81,94)
        (84,90)(85,95)(89,91)(93,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,45)(24,41)(26,32)(27,75)(28,52)(30,36)(31,76)(34,56)(35,79)(39,44)(40,64)(42,68)(43,87)(46,51)
        (47,94)(48,69)(50,55)(53,71)(54,95)(57,63)(58,66)(59,82)(62,67)(65,86)(70,90)(72,78)(73,84)(74,92)(77,81)
        (80,85)(83,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,45)(24,41)(26,32)(27,75)(28,52)(30,36)(31,78)(34,56)(35,79)(39,44)(40,64)(42,68)(43,87)(46,51)
        (47,94)(48,69)(50,55)(53,71)(54,95)(57,63)(58,66)(59,82)(62,67)(65,86)(70,90)(72,77)(73,84)(74,92)(76,81)
        (80,85)(83,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), 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)
        (19,61)(23,45)(24,41)(27,32)(28,52)(30,56)(31,72)(34,40)(35,80)(36,64)(38,44)(39,83)(42,68)(43,86)(46,51)
        (47,94)(48,69)(50,55)(53,71)(54,95)(57,63)(58,66)(59,75)(62,67)(65,79)(70,90)(73,78)(74,92)(76,82)(77,88)
        (81,85)(84,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,30)(18,33)
        (19,61)(23,45)(24,41)(26,32)(27,75)(28,52)(31,56)(34,40)(35,80)(36,64)(38,44)(39,83)(42,68)(43,87)(46,51)
        (47,94)(48,69)(50,55)(53,71)(54,95)(57,63)(58,66)(59,76)(62,67)(65,79)(70,90)(72,78)(73,85)(74,92)(77,82)
        (81,86)(84,89)(88,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), 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)(30,67)(33,39)(34,75)(35,60)(37,43)(38,78)(41,63)(42,82)(45,50)(46,90)
        (47,64)(49,54)(52,66)(53,91)(56,62)(57,94)(58,70)(61,74)(65,86)(68,73)(69,88)(71,93)(72,84)(76,81)(77,95)
        (79,85)(80,96)(83,89)(87,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,59)(16,29)(18,33)
        (19,63)(23,45)(24,41)(27,32)(28,52)(30,56)(31,71)(34,40)(35,82)(36,64)(38,44)(39,83)(42,67)(43,86)(46,51)
        (47,94)(48,68)(50,55)(53,70)(54,95)(57,62)(58,74)(60,66)(61,81)(65,78)(69,90)(72,77)(73,92)(75,80)(76,88)
        (79,85)(84,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), 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)(34,71)(37,42)(38,63)(40,45)(41,78)(44,66)(47,53)(48,82)
        (49,67)(51,57)(52,85)(55,61)(56,86)(59,70)(60,89)(64,77)(65,74)(68,81)(69,79)(72,76)(73,90)(75,93)(80,94)
        (83,88)(84,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,32)(18,36)
        (19,63)(23,44)(24,40)(26,31)(27,77)(28,52)(30,35)(33,56)(34,78)(38,43)(39,66)(41,70)(42,86)(45,51)(46,93)
        (47,71)(49,55)(50,94)(53,73)(54,95)(57,62)(58,68)(59,81)(61,65)(64,69)(67,85)(72,89)(74,80)(75,83)(76,91)
        (79,84)(82,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,73)(27,54)(29,34)(32,58)(33,74)(36,42)(37,81)(38,63)(40,46)(41,82)(44,65)(45,85)
        (48,53)(49,66)(51,57)(52,94)(55,69)(56,95)(59,64)(60,84)(61,77)(67,93)(68,89)(70,76)(71,79)(72,91)(75,80)
        (78,87)(83,88)(86,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,60)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,77)(31,63)(33,39)(34,78)(37,66)(38,81)(41,47)(42,89)(43,67)(45,51)
        (46,90)(49,69)(50,91)(53,59)(54,94)(55,70)(57,62)(58,76)(61,65)(64,73)(68,85)(71,93)(72,87)(74,80)(75,95)
        (79,84)(82,88)(83,96)(86,92),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,54)(15,25)(17,28)(18,58)
        (22,39)(23,35)(26,50)(27,46)(29,34)(30,62)(32,38)(33,74)(36,65)(37,77)(40,45)(41,86)(42,66)(44,49)(47,69)
        (48,87)(51,57)(52,90)(53,70)(55,61)(56,93)(59,64)(60,94)(63,73)(67,85)(68,81)(71,89)(72,83)(75,80)(76,95)
        (78,84)(79,92)(82,88)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(23,67)(24,52)(26,32)(27,71)(30,56)(31,72)(34,39)(35,82)(36,57)(38,43)(41,60)(42,83)(45,51)(46,90)
        (47,61)(49,55)(50,91)(53,63)(54,92)(58,78)(59,75)(62,86)(64,70)(65,80)(66,88)(68,74)(69,96)(73,77)(76,94)
        (79,85)(81,95)(84,89)(87,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,37)( 8,14)(10,21)(11,47)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,67)(24,51)(26,32)(27,71)(30,55)(31,74)(34,39)(35,82)(36,56)(38,43)(41,59)(42,83)(45,50)(46,60)
        (48,54)(49,91)(52,63)(53,92)(57,78)(58,75)(61,90)(62,86)(64,70)(65,80)(66,88)(68,73)(69,96)(72,77)(76,94)
        (79,85)(81,95)(84,89)(87,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), 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)(23,67)(24,51)(26,32)(27,71)(30,55)(31,74)(34,39)(35,85)(36,56)(38,43)(41,59)(42,86)(45,50)(46,94)
        (47,60)(49,54)(52,63)(53,95)(57,81)(58,77)(61,93)(62,89)(64,70)(65,83)(66,91)(68,73)(69,79)(72,76)(75,80)
        (78,84)(82,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,52)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,48)(23,44)(25,31)(26,72)(27,56)(29,35)(30,75)(33,60)(34,78)(37,43)(38,61)(41,47)(42,86)(45,64)(46,87)
        (49,55)(50,90)(51,65)(53,59)(54,94)(57,68)(58,95)(62,89)(63,82)(66,83)(67,88)(69,74)(70,80)(71,92)(73,77)
        (76,81)(79,85)(84,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), 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)(23,43)(25,31)(26,70)(27,52)(29,35)(30,71)(33,55)(34,74)(37,42)(38,82)(39,60)(41,46)(44,62)(45,83)
        (48,54)(49,93)(50,63)(53,66)(56,61)(57,85)(58,78)(64,90)(65,86)(67,73)(68,76)(69,94)(72,77)(75,81)(79,88)
        (80,95)(84,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(34,79)(38,43)(39,67)(41,71)(42,87)(45,51)(46,90)
        (47,72)(49,55)(50,94)(53,75)(54,95)(57,63)(58,89)(59,82)(61,66)(62,69)(65,70)(68,86)(73,83)(74,88)(77,81)
        (78,92)(80,85)(84,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,43)(11,20)(13,18)(14,55)(15,24)(17,27)(21,39)
        (22,35)(25,51)(26,47)(28,34)(29,71)(30,56)(32,38)(33,75)(36,59)(37,79)(40,46)(41,86)(42,60)(44,50)(45,90)
        (48,63)(49,91)(52,58)(53,70)(54,64)(57,67)(61,82)(62,80)(65,93)(66,88)(68,74)(69,94)(72,78)(73,95)(76,81)
        (77,85)(83,89)(84,96)(87,92),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,43)(11,20)(13,18)(14,55)(15,24)(17,27)(21,39)
        (22,35)(25,51)(26,47)(28,34)(29,67)(30,56)(32,38)(33,71)(36,42)(37,75)(40,46)(41,78)(44,50)(45,82)(48,59)
        (49,83)(52,58)(53,66)(54,60)(57,63)(61,89)(62,86)(64,70)(65,90)(68,74)(69,91)(72,77)(73,95)(76,81)(79,85)
        (80,96)(84,88)(87,93)(92,94),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)(27,34)(28,52)(30,35)(33,56)(37,43)(38,79)(39,67)(41,47)(42,80)(45,71)(46,77)
        (50,55)(51,72)(53,59)(54,87)(57,63)(58,89)(61,66)(62,93)(65,70)(68,75)(69,94)(73,86)(74,82)(76,81)(78,85)
        (83,91)(84,95)(88,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,52)(15,25)(17,28)(18,56)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,39)(34,68)(37,43)(38,71)(41,47)(42,75)(45,63)(46,76)(49,55)
        (50,83)(51,64)(53,58)(54,86)(57,62)(60,67)(61,87)(65,82)(66,79)(69,74)(70,90)(72,78)(73,96)(77,81)(80,93)
        (84,89)(85,94)(88,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,37)(11,21)(13,19)(14,48)(15,25)(17,28)(18,52)
        (22,36)(23,32)(26,44)(27,40)(30,35)(31,56)(33,59)(34,68)(38,43)(39,60)(41,63)(42,76)(45,51)(46,83)(47,64)
        (49,55)(50,86)(53,58)(54,89)(57,67)(61,75)(62,71)(65,82)(66,79)(69,74)(70,90)(72,78)(73,96)(77,81)(80,93)
        (84,88)(85,94)(87,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,16)( 7,32)( 8,14)(10,20)(11,44)(12,17)(15,28)(18,40)(19,36)(21,27)
        (22,60)(23,48)(25,31)(26,64)(29,35)(30,68)(33,39)(34,72)(37,52)(38,76)(41,47)(42,83)(43,53)(45,51)(46,87)
        (49,56)(50,88)(54,79)(55,77)(57,63)(58,90)(59,85)(61,67)(62,94)(65,71)(66,95)(69,75)(70,92)(73,78)(74,82)
        (80,86)(81,93)(84,89)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,41)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,40)(23,36)(26,48)(27,44)(29,35)(30,70)(31,56)(33,39)(34,74)(37,59)(38,75)(42,47)(43,60)(45,63)(46,83)
        (49,54)(50,64)(52,58)(53,90)(57,67)(61,82)(62,78)(65,89)(66,85)(68,73)(69,91)(71,77)(72,95)(76,81)(79,87)
        (80,96)(84,88)(86,93)(92,94),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,39)(34,68)(37,43)(38,71)(41,47)(42,75)(45,63)(46,76)(49,54)
        (50,64)(52,58)(53,83)(56,62)(57,86)(60,67)(61,87)(65,82)(66,79)(69,74)(70,90)(72,78)(73,96)(77,81)(80,93)
        (84,89)(85,94)(88,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,39)(34,68)(37,43)(38,71)(41,47)(42,75)(45,63)(46,76)(49,54)
        (50,64)(52,58)(53,83)(56,62)(57,86)(60,67)(61,89)(65,82)(66,79)(69,74)(70,90)(72,78)(73,96)(77,81)(80,93)
        (84,88)(85,94)(87,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,41)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,40)(23,36)(26,48)(27,44)(29,35)(30,70)(31,56)(33,39)(34,74)(37,59)(38,75)(42,47)(43,60)(45,63)(46,83)
        (49,54)(50,64)(52,58)(53,90)(57,67)(61,82)(62,78)(65,89)(66,86)(68,73)(69,91)(71,77)(72,95)(76,81)(79,85)
        (80,96)(84,88)(87,93)(92,94),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,55)(16,30)(18,32)
        (19,59)(23,44)(24,40)(26,31)(27,58)(28,51)(33,39)(34,76)(35,63)(37,43)(38,77)(41,67)(42,79)(45,50)(46,68)
        (48,54)(49,88)(52,71)(53,90)(56,62)(57,72)(60,66)(61,93)(64,75)(65,94)(69,87)(70,83)(73,96)(74,85)(78,82)
        (80,86)(81,95)(84,91)(89,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,61)(23,45)(24,41)(26,32)(27,72)(28,52)(30,36)(31,75)(34,56)(35,76)(39,44)(40,64)(42,67)(43,84)(46,51)
        (47,94)(48,68)(50,55)(53,71)(54,95)(57,63)(58,86)(59,79)(62,66)(65,83)(69,90)(70,87)(73,78)(74,92)(77,82)
        (80,88)(81,93)(85,89)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)
        (90,91,92,93)(94,95,96) ), 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)
        (19,60)(23,41)(24,37)(26,32)(27,71)(28,48)(31,52)(35,40)(36,64)(38,67)(39,75)(42,47)(43,82)(44,68)(46,51)
        (49,70)(50,83)(53,59)(54,89)(55,72)(57,63)(58,93)(61,66)(62,94)(65,74)(69,78)(73,86)(76,81)(77,95)(79,85)
        (80,91)(84,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,61)(23,45)(24,41)(27,32)(28,52)(30,56)(31,72)(34,40)(35,79)(36,64)(38,44)(39,80)(42,68)(43,77)(46,51)
        (47,86)(48,69)(50,55)(53,71)(54,87)(57,63)(58,93)(59,73)(62,67)(65,75)(66,94)(70,82)(74,90)(76,81)(78,85)
        (83,89)(84,95)(88,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,33)(18,37)
        (19,68)(23,48)(24,45)(26,32)(27,77)(28,56)(30,36)(31,80)(34,60)(35,84)(38,44)(39,91)(40,69)(42,47)(43,92)
        (46,72)(49,55)(50,66)(51,73)(53,59)(54,62)(57,76)(58,88)(61,67)(63,87)(65,71)(70,74)(75,93)(78,83)(79,94)
        (81,86)(82,95)(85,90)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(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)(84,85,86)(87,88,89,90)
        (91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,60)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,52)(29,56)(30,69)(33,39)(34,76)(35,61)(37,43)(38,78)(41,64)(42,82)(45,51)(46,94)
        (47,65)(49,55)(50,95)(53,68)(54,92)(57,63)(58,80)(59,72)(62,75)(66,90)(67,86)(70,74)(71,88)(73,84)(77,81)
        (79,85)(83,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,60)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,71)(27,52)(30,56)(33,39)(34,76)(35,61)(37,43)(38,78)(41,64)(42,82)(45,51)(46,94)
        (47,65)(49,55)(50,95)(53,68)(54,92)(57,63)(58,80)(59,72)(62,75)(66,90)(67,86)(69,74)(70,88)(73,84)(77,81)
        (79,85)(83,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,29)(18,33)
        (19,61)(23,44)(24,40)(27,32)(28,52)(30,56)(31,72)(34,39)(35,64)(37,43)(38,79)(41,67)(42,82)(45,51)(46,91)
        (47,68)(49,55)(50,92)(53,71)(54,94)(57,63)(58,81)(59,75)(62,66)(65,78)(69,90)(70,86)(73,77)(74,88)(76,84)
        (80,85)(83,89)(87,95)(93,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,30)(18,33)
        (19,61)(23,44)(24,40)(26,32)(27,74)(28,52)(31,56)(34,39)(35,64)(37,43)(38,79)(41,67)(42,82)(45,51)(46,91)
        (47,68)(49,55)(50,92)(53,71)(54,94)(57,63)(58,81)(59,75)(62,66)(65,78)(69,90)(70,86)(72,77)(73,88)(76,84)
        (80,85)(83,89)(87,95)(93,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,30)(18,33)
        (19,63)(23,44)(24,40)(26,32)(27,74)(28,52)(31,56)(34,39)(35,64)(37,43)(38,79)(41,67)(42,82)(45,51)(46,91)
        (47,68)(49,55)(50,93)(53,71)(54,94)(57,62)(58,81)(59,75)(61,66)(65,78)(69,90)(70,86)(72,77)(73,88)(76,84)
        (80,85)(83,89)(87,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,59)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,78)(31,63)(33,39)(34,82)(37,66)(38,83)(41,47)(42,94)(43,67)(45,51)
        (46,95)(49,70)(50,92)(53,58)(54,76)(55,71)(57,62)(60,65)(61,77)(64,74)(68,90)(69,86)(72,80)(73,88)(75,81)
        (79,85)(84,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,60)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,78)(31,63)(33,39)(34,82)(37,66)(38,83)(41,47)(42,91)(43,67)(45,51)
        (46,92)(49,70)(50,94)(53,59)(54,76)(55,71)(57,62)(58,77)(61,65)(64,74)(68,90)(69,86)(72,80)(73,88)(75,81)
        (79,85)(84,89)(87,95)(93,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,60)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,78)(31,63)(33,39)(34,82)(37,67)(38,83)(41,47)(42,91)(43,68)(45,51)
        (46,93)(49,71)(50,94)(53,59)(54,77)(55,72)(57,62)(58,65)(61,66)(64,75)(69,90)(70,86)(73,80)(74,88)(76,81)
        (79,85)(84,89)(87,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,53)(15,25)(17,28)(18,56)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,74)(31,60)(33,39)(34,75)(37,63)(38,78)(41,47)(42,87)(43,64)(45,51)
        (46,88)(49,67)(50,90)(54,59)(55,68)(57,62)(58,94)(61,71)(65,86)(66,82)(69,93)(70,84)(72,77)(73,95)(76,81)
        (79,85)(80,96)(83,91)(89,92),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,48)(12,21)(14,19)(15,28)(17,32)(18,57)
        (22,44)(23,40)(26,31)(27,52)(29,56)(30,68)(33,39)(34,78)(35,60)(37,43)(38,79)(41,63)(42,82)(45,51)(46,91)
        (47,64)(49,55)(50,92)(53,67)(54,94)(58,62)(59,71)(61,75)(65,90)(66,86)(69,74)(70,88)(72,77)(73,84)(76,81)
        (80,85)(83,89)(87,95)(93,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,52)(15,25)(17,28)(18,55)
        (22,39)(23,35)(26,51)(27,47)(29,34)(30,59)(32,38)(33,72)(36,63)(37,75)(40,46)(41,84)(42,64)(44,50)(45,86)
        (48,67)(49,87)(53,58)(54,68)(56,62)(57,91)(60,71)(61,94)(65,83)(66,79)(69,90)(70,81)(73,78)(74,95)(76,82)
        (77,93)(80,88)(85,89)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,48)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,67)(24,52)(26,32)(27,71)(30,56)(31,75)(34,39)(35,57)(37,43)(38,79)(41,60)(42,82)(45,51)(46,94)
        (47,61)(49,55)(50,95)(53,64)(54,92)(58,78)(59,76)(62,90)(63,86)(65,70)(66,88)(68,74)(69,84)(72,77)(73,81)
        (80,85)(83,89)(87,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,52)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,63)(34,72)(37,43)(38,82)(39,64)(41,47)(42,83)(45,67)(46,84)
        (49,54)(50,90)(51,68)(53,58)(56,62)(57,91)(60,71)(61,92)(65,78)(66,75)(69,86)(70,80)(73,77)(74,88)(76,94)
        (79,85)(81,95)(87,93)(89,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,52)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,63)(34,71)(37,43)(38,78)(39,64)(41,47)(42,79)(45,66)(46,82)
        (49,54)(50,90)(51,67)(53,58)(56,62)(57,91)(60,70)(61,92)(65,74)(68,86)(69,83)(72,77)(73,88)(75,81)(76,96)
        (80,85)(84,94)(87,93)(89,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,66)(23,47)(24,43)(26,31)(27,34)(28,54)(30,35)(33,58)(37,42)(38,67)(40,46)(41,75)(44,70)(45,78)(48,53)
        (49,71)(51,57)(52,86)(55,61)(56,87)(59,65)(60,89)(63,69)(64,93)(68,74)(72,85)(73,81)(76,80)(77,94)(79,84)
        (82,91)(83,95)(88,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,42)(11,21)(13,19)(14,51)(15,25)(17,28)(18,54)
        (22,39)(23,35)(26,50)(27,46)(29,34)(30,58)(32,38)(33,71)(36,62)(37,74)(40,45)(41,63)(43,49)(44,82)(47,66)
        (48,83)(52,57)(53,67)(55,61)(56,90)(59,70)(60,91)(64,81)(65,77)(68,89)(69,85)(72,76)(73,93)(75,80)(78,87)
        (79,94)(84,88)(86,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,48)(15,25)(17,28)(18,51)
        (22,36)(23,32)(26,47)(27,44)(30,35)(31,55)(33,59)(34,68)(37,43)(38,76)(39,60)(41,46)(42,79)(45,63)(49,54)
        (50,64)(52,58)(53,84)(56,67)(57,87)(61,75)(62,71)(65,83)(66,80)(69,74)(70,90)(72,78)(73,96)(77,82)(81,93)
        (85,89)(86,94)(88,92)(91,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,48)(12,18)(15,33)(16,29)(19,44)(20,40)
        (22,28)(23,59)(24,52)(26,32)(27,63)(30,35)(31,67)(34,39)(37,43)(38,68)(41,47)(42,71)(45,51)(46,75)(49,55)
        (50,79)(53,56)(54,83)(57,62)(58,86)(60,66)(61,91)(64,70)(65,94)(69,74)(72,78)(73,95)(76,82)(77,93)(80,85)
        (81,88)(84,89)(87,90)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,63)(23,44)(24,40)(26,32)(27,75)(28,52)(30,36)(31,78)(34,56)(35,82)(39,43)(41,67)(42,64)(45,51)(46,87)
        (47,68)(49,55)(50,90)(53,71)(54,91)(57,62)(58,69)(59,86)(61,66)(65,70)(72,77)(73,80)(74,94)(76,81)(79,85)
        (83,89)(84,95)(88,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,63)(16,32)(18,36)
        (22,47)(23,43)(25,31)(26,72)(27,55)(29,35)(30,75)(33,59)(34,78)(37,42)(38,64)(40,46)(41,87)(44,67)(45,88)
        (48,54)(49,83)(50,68)(52,58)(53,90)(56,71)(57,91)(60,66)(61,69)(62,82)(65,86)(70,89)(73,77)(74,94)(76,81)
        (79,85)(80,95)(84,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,63)(16,32)(18,36)
        (22,47)(23,43)(25,31)(26,72)(27,55)(29,35)(30,75)(33,59)(34,78)(37,42)(38,87)(39,64)(41,46)(44,67)(45,88)
        (48,54)(49,83)(50,68)(52,58)(53,90)(56,71)(57,91)(60,66)(61,69)(62,82)(65,86)(70,89)(73,77)(74,94)(76,81)
        (79,85)(80,95)(84,93)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,63)(16,32)(18,36)
        (22,47)(23,43)(25,31)(26,74)(27,55)(29,35)(30,75)(33,59)(34,78)(37,42)(38,87)(39,64)(41,46)(44,67)(45,88)
        (48,54)(49,83)(50,68)(52,58)(53,90)(56,71)(57,93)(60,66)(61,69)(62,82)(65,86)(70,89)(72,77)(73,94)(76,81)
        (79,85)(80,95)(84,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(30,75)(33,56)(34,78)(38,43)(39,67)(41,70)(42,87)(45,51)(46,83)
        (47,71)(49,55)(50,90)(53,74)(54,93)(57,63)(58,72)(59,82)(61,66)(62,89)(65,69)(68,86)(73,88)(76,81)(77,94)
        (79,85)(80,95)(84,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,35)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,55)(16,28)(18,32)
        (22,43)(23,39)(26,31)(27,48)(29,51)(30,64)(33,38)(34,56)(36,42)(37,72)(40,59)(41,75)(44,50)(45,85)(46,60)
        (49,63)(52,58)(53,93)(54,67)(57,71)(61,82)(62,78)(65,70)(66,86)(68,89)(69,87)(73,77)(74,94)(76,81)(79,91)
        (80,95)(83,88)(84,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), 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)
        (19,68)(23,48)(24,44)(26,32)(27,80)(28,56)(30,36)(31,81)(34,60)(35,83)(38,43)(39,72)(41,47)(42,91)(45,75)
        (46,93)(49,55)(50,62)(51,76)(53,59)(54,88)(57,79)(58,85)(61,67)(63,87)(65,71)(66,77)(69,74)(70,95)(73,90)
        (78,94)(82,86)(84,89)(92,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,63)(16,33)(18,37)
        (19,67)(23,47)(24,44)(26,32)(27,78)(28,55)(30,36)(31,81)(34,59)(35,85)(38,43)(39,74)(40,68)(42,46)(45,71)
        (48,54)(49,65)(50,72)(52,58)(53,61)(56,75)(57,90)(60,66)(62,89)(64,70)(69,73)(76,80)(77,93)(79,84)(82,88)
        (83,94)(86,92)(87,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)
        (89,90,91,92)(93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,46)(12,22)(14,20)(15,58)(16,31)(18,35)
        (19,62)(23,42)(25,30)(26,50)(28,34)(29,71)(32,54)(33,73)(36,41)(37,78)(38,66)(40,45)(43,49)(44,79)(47,53)
        (48,81)(51,70)(52,85)(55,61)(56,89)(57,74)(59,65)(60,90)(63,69)(64,93)(67,77)(68,94)(72,76)(75,86)(80,84)
        (82,88)(83,95)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,63)(16,32)(18,36)
        (19,67)(23,47)(24,43)(26,31)(27,34)(28,55)(30,35)(33,59)(37,42)(38,68)(40,46)(41,76)(44,71)(45,78)(48,54)
        (49,87)(50,72)(52,58)(53,90)(56,62)(57,93)(60,66)(61,84)(64,70)(65,80)(69,75)(73,86)(74,82)(77,81)(79,85)
        (83,94)(88,92)(89,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,63)(16,32)(18,36)
        (19,67)(23,47)(24,43)(26,31)(27,34)(28,55)(30,35)(33,59)(37,42)(38,70)(40,46)(41,71)(44,74)(45,78)(48,54)
        (49,89)(50,75)(52,58)(53,90)(56,62)(57,93)(60,66)(61,84)(64,69)(65,80)(68,73)(72,81)(76,86)(77,82)(79,85)
        (83,94)(87,92)(88,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,59)
        (22,39)(23,35)(26,51)(27,47)(29,34)(30,62)(32,38)(33,75)(36,66)(37,78)(40,46)(41,87)(42,67)(44,50)(45,90)
        (48,70)(49,93)(52,58)(53,77)(54,71)(56,61)(57,64)(60,65)(63,74)(68,86)(69,82)(72,80)(73,84)(76,81)(79,85)
        (83,94)(88,92)(89,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,60)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,71)(31,61)(33,39)(34,74)(37,63)(38,78)(41,47)(42,89)(43,64)(45,51)
        (46,90)(49,67)(50,93)(53,59)(54,76)(55,68)(57,62)(58,73)(65,86)(66,82)(69,80)(70,84)(72,77)(75,81)(79,85)
        (83,94)(87,92)(88,95)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,40)(11,17)(14,24)(15,21)(18,36)(19,32)(22,48)
        (23,44)(25,31)(26,63)(27,49)(29,35)(30,67)(33,52)(34,71)(37,43)(38,80)(39,53)(41,47)(42,83)(45,56)(46,86)
        (50,60)(51,57)(54,79)(55,75)(58,90)(59,77)(61,66)(62,91)(64,70)(65,95)(68,74)(69,96)(72,78)(73,93)(76,87)
        (81,85)(82,88)(84,89)(92,94),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,40)(11,17)(14,24)(15,21)(18,36)(19,32)(22,48)
        (23,44)(25,31)(26,64)(27,49)(29,35)(30,67)(33,52)(34,71)(37,43)(38,82)(39,53)(41,47)(42,83)(45,56)(46,86)
        (50,60)(51,57)(54,79)(55,75)(58,90)(59,77)(61,66)(62,95)(63,91)(65,70)(68,74)(69,96)(72,78)(73,93)(76,87)
        (80,85)(81,88)(84,89)(92,94),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,38)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,55)(28,34)(29,68)(32,59)(33,71)(36,42)(37,60)(40,46)(41,78)(44,63)(45,79)(48,54)
        (49,90)(50,64)(52,58)(53,91)(56,67)(57,88)(61,81)(62,74)(65,86)(66,82)(69,73)(70,93)(72,77)(75,84)(76,94)
        (80,85)(83,95)(87,92)(89,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(29,56)(30,65)(33,39)(34,57)(37,43)(38,72)(41,60)(42,75)(45,51)(46,84)(47,61)
        (49,55)(50,85)(53,64)(54,87)(58,74)(59,68)(62,83)(63,79)(66,71)(67,91)(69,77)(70,95)(73,78)(76,82)(80,89)
        (81,96)(86,90)(88,93)(92,94),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89,90)(91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,30)(18,33)
        (19,62)(23,43)(24,39)(26,32)(27,75)(28,51)(31,55)(34,38)(35,66)(37,42)(40,70)(41,67)(44,50)(45,83)(46,71)
        (48,54)(49,84)(52,74)(53,86)(56,61)(57,93)(58,76)(60,65)(63,69)(64,94)(68,81)(72,82)(73,78)(77,90)(79,88)
        (80,95)(85,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,28)(18,32)
        (22,43)(23,39)(26,31)(27,51)(29,55)(30,68)(33,38)(34,74)(35,60)(37,42)(40,63)(41,75)(44,50)(45,83)(46,64)
        (48,54)(49,85)(52,67)(53,89)(56,62)(57,93)(58,69)(61,71)(65,82)(66,78)(70,90)(72,77)(73,94)(76,81)(79,87)
        (80,95)(84,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,30)(18,33)
        (19,62)(23,43)(24,39)(26,32)(27,75)(28,51)(31,55)(34,38)(35,66)(37,42)(40,70)(41,67)(44,50)(45,83)(46,71)
        (48,54)(49,85)(52,74)(53,89)(56,61)(57,93)(58,76)(60,65)(63,69)(64,94)(68,81)(72,82)(73,78)(77,90)(79,87)
        (80,95)(84,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,56)(15,25)(17,28)(18,57)
        (22,40)(23,36)(26,52)(27,48)(29,35)(30,75)(31,60)(33,39)(34,76)(37,64)(38,73)(41,47)(42,86)(43,65)(45,51)
        (46,87)(49,68)(50,84)(53,59)(54,93)(55,69)(58,63)(61,71)(62,94)(66,82)(67,78)(70,89)(72,77)(74,81)(79,91)
        (80,95)(83,88)(85,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)(93,94,95,96) 
     ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,52)(15,25)(17,28)(18,56)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,63)(34,71)(37,43)(38,79)(39,64)(41,47)(42,80)(45,67)(46,82)
        (49,55)(50,89)(51,68)(53,58)(54,93)(57,62)(60,70)(61,94)(65,78)(66,74)(69,86)(72,77)(73,95)(75,84)(76,91)
        (81,85)(83,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,43)(11,20)(13,18)(14,55)(15,24)(17,27)(21,39)
        (22,35)(25,51)(26,47)(28,34)(29,70)(30,56)(32,38)(33,71)(36,59)(37,74)(40,46)(41,83)(42,60)(44,50)(45,84)
        (48,63)(49,86)(52,58)(53,93)(54,64)(57,66)(61,82)(62,78)(65,90)(67,73)(68,76)(69,94)(72,77)(75,81)(79,88)
        (80,95)(85,89)(87,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,52)(15,25)(17,28)(18,56)
        (22,36)(23,32)(26,48)(27,44)(30,35)(31,59)(33,63)(34,71)(37,43)(38,79)(39,64)(41,47)(42,81)(45,67)(46,85)
        (49,55)(50,89)(51,68)(53,58)(54,93)(57,62)(60,70)(61,94)(65,78)(66,74)(69,86)(72,77)(73,95)(75,83)(76,91)
        (80,84)(82,88)(87,92)(90,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,43)(11,20)(13,18)(14,55)(15,24)(17,27)(21,39)
        (22,35)(25,51)(26,47)(28,34)(29,70)(30,56)(32,38)(33,71)(36,59)(37,74)(40,46)(41,83)(42,60)(44,50)(45,85)
        (48,63)(49,89)(52,58)(53,93)(54,64)(57,66)(61,82)(62,78)(65,90)(67,73)(68,76)(69,94)(72,77)(75,81)(79,87)
        (80,95)(84,88)(86,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(85,86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,15)( 9,23)(10,43)(11,20)(13,18)(14,24)(16,27)(17,52)(21,39)
        (22,35)(25,51)(26,47)(28,34)(29,68)(30,55)(32,38)(33,69)(36,59)(37,71)(40,46)(41,80)(42,60)(44,50)(45,81)
        (48,63)(49,83)(53,58)(54,64)(56,67)(57,91)(61,79)(62,75)(65,90)(66,87)(70,74)(72,78)(73,92)(76,85)(77,96)
        (82,86)(84,89)(88,94)(93,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,40)(11,17)(14,24)(15,21)(18,36)(19,32)(22,48)
        (23,44)(25,31)(26,64)(27,49)(29,35)(30,67)(33,52)(34,71)(37,43)(38,83)(39,53)(41,47)(42,84)(45,56)(46,81)
        (50,60)(51,57)(54,79)(55,75)(58,90)(59,86)(61,66)(62,69)(63,91)(65,70)(68,74)(72,78)(73,92)(76,88)(77,96)
        (80,85)(82,89)(87,94)(93,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85)(86,87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,40)(11,17)(14,24)(15,21)(18,36)(19,32)(22,48)
        (23,44)(25,31)(26,64)(27,49)(29,35)(30,67)(33,52)(34,71)(37,43)(38,80)(39,53)(41,47)(42,81)(45,56)(46,83)
        (50,60)(51,57)(54,79)(55,75)(58,90)(59,87)(61,66)(62,69)(63,91)(65,70)(68,74)(72,78)(73,92)(76,85)(77,96)
        (82,86)(84,89)(88,94)(93,95),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(83,84,85,86)(87,88,89)(90,91,92,93)(94,95,96) 
     ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,62)(16,32)(18,36)
        (19,63)(23,46)(24,42)(26,31)(27,54)(29,35)(30,75)(33,58)(34,78)(37,41)(38,66)(40,45)(43,70)(44,67)(47,53)
        (48,89)(49,71)(51,57)(52,90)(55,74)(56,93)(59,65)(60,87)(61,82)(64,69)(68,88)(72,83)(73,86)(76,81)(77,94)
        (79,85)(80,95)(84,92)(91,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88)(89,90,91,92)
        (93,94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,63)(16,32)(18,36)
        (19,67)(23,47)(24,43)(26,31)(27,55)(29,35)(30,80)(33,59)(34,82)(37,42)(38,71)(40,46)(41,72)(44,75)(45,90)
        (48,54)(49,61)(50,76)(52,58)(53,87)(56,79)(57,94)(60,66)(62,86)(64,70)(65,77)(68,74)(69,92)(73,93)(78,91)
        (81,85)(83,89)(84,95)(88,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,27)( 7,13)( 9,20)(10,36)(11,17)(14,24)(15,21)(18,35)(19,31)(22,43)
        (23,39)(25,30)(26,44)(28,34)(29,56)(32,47)(33,59)(37,42)(38,48)(40,51)(41,68)(45,55)(46,52)(49,67)(50,63)
        (53,75)(54,71)(57,62)(58,76)(60,66)(61,88)(64,79)(65,90)(69,74)(70,80)(72,83)(73,81)(77,87)(78,84)(82,94)
        (85,92)(86,95)(89,93)(91,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(26,70)(27,54)(29,35)(30,74)(33,58)(34,78)(37,41)(38,63)(40,45)(43,60)(44,64)(47,53)
        (48,79)(49,61)(51,57)(52,82)(55,66)(56,86)(59,65)(67,73)(68,91)(69,87)(71,77)(72,92)(75,81)(76,94)(80,85)
        (83,89)(84,95)(88,90)(93,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,33)(12,21)(14,19)(15,22)(16,32)(18,36)
        (23,38)(25,31)(26,47)(27,39)(29,35)(30,51)(34,42)(40,43)(41,52)(44,50)(45,63)(46,55)(48,54)(49,67)(53,58)
        (56,59)(57,68)(60,66)(61,79)(62,71)(64,70)(65,83)(69,74)(72,75)(73,84)(76,82)(77,92)(78,87)(80,86)(81,94)
        (85,90)(88,91)(89,95)(93,96),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89,90)(91,92,93)
        (94,95,96) ), 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)(18,37)
        (19,65)(23,49)(24,45)(26,32)(27,66)(28,40)(30,36)(31,72)(34,57)(35,76)(38,44)(39,54)(42,48)(43,80)(46,69)
        (47,84)(50,56)(51,90)(52,70)(55,83)(58,64)(59,94)(60,77)(62,68)(63,95)(67,75)(71,87)(73,79)(74,96)(78,93)
        (81,86)(82,91)(85,89)(88,92),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(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)(84,85,86)(87,88,89)(90,91,92)
        (93,94,95,96) ), 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)(18,36)
        (19,67)(23,48)(24,44)(26,32)(27,75)(28,56)(30,35)(31,79)(34,60)(37,43)(38,82)(39,71)(41,47)(42,86)(45,51)
        (46,87)(49,55)(50,90)(53,59)(54,91)(57,72)(58,85)(61,66)(62,94)(63,80)(65,70)(68,74)(69,95)(73,78)(76,81)
        (77,96)(83,89)(84,92)(88,93),
      nbP := 96,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(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)(82,83,84,85)(86,87,88,89)
        (90,91,92,93)(94,95,96) ), 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)(26,59)(27,52)(29,35)(30,62)(33,39)(34,66)(37,55)(38,70)(41,47)(42,74)(43,56)(45,51)(46,78)
        (49,54)(50,82)(53,58)(57,71)(60,65)(61,83)(63,69)(64,87)(67,73)(68,90)(72,77)(75,81)(76,91)(79,85)(80,94)
        (84,86)(88,93)(89,95)(92,96),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(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)(82,83,84,85)(86,87,88,89)(90,91,92,93)
        (94,95,96) ), 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)(49,75)(50,67)
        (52,58)(53,79)(57,62)(60,66)(61,80)(64,70)(65,83)(68,71)(69,87)(72,78)(73,94)(74,90)(76,82)(77,95)(81,86)
        (84,89)(85,96)(88,92)(91,93),
      nbP := 96,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(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)(83,84,85,86)(87,88,89)(90,91,92)
        (93,94,95,96) ) ];
