return [ rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,62)(16,32)(18,36)
        (22,46)(23,43)(25,31)(26,70)(27,54)(29,35)(30,73)(33,58)(34,77)(37,42)(38,63)(40,45)(41,60)(44,65)(47,53)
        (48,81)(49,66)(51,57)(52,85)(55,69)(56,86)(59,64)(61,68)(67,78)(71,76)(72,87)(74,80)(75,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(23,43)(25,31)(26,73)(27,54)(29,35)(30,74)(33,58)(34,77)(37,42)(38,63)(40,45)(41,60)(44,65)(47,53)
        (48,81)(49,66)(51,57)(52,85)(55,69)(56,86)(59,64)(61,68)(67,78)(70,76)(71,83)(72,87)(75,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,23)(11,46)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,42)(24,30)(25,65)(26,50)(28,34)(29,66)(32,54)(33,69)(36,41)(37,59)(39,45)(40,56)(43,49)(44,74)(47,53)
        (48,77)(51,61)(52,81)(55,60)(57,73)(62,68)(63,86)(64,82)(67,72)(70,76)(71,87)(75,80)(78,84)(79,88)(83,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,60)(16,32)(18,36)
        (22,44)(23,40)(25,31)(26,67)(27,52)(29,35)(30,70)(33,56)(34,74)(38,43)(39,61)(41,58)(42,62)(45,51)(46,75)
        (47,59)(49,55)(50,78)(53,64)(54,82)(57,63)(65,69)(66,85)(68,73)(71,77)(72,86)(76,81)(79,84)(80,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,43)(24,39)(26,31)(27,34)(28,51)(30,35)(33,55)(38,42)(40,67)(41,64)(44,50)(45,79)(46,68)(48,54)
        (49,80)(52,58)(53,77)(56,62)(57,82)(60,66)(61,86)(65,74)(69,75)(70,71)(72,84)(73,87)(76,81)(78,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,51)(16,29)(18,32)(19,55)
        (22,28)(23,66)(24,44)(26,31)(27,70)(30,47)(33,39)(34,78)(35,59)(37,43)(38,82)(41,46)(42,65)(45,62)(48,54)
        (49,76)(50,71)(52,58)(53,86)(56,61)(57,87)(60,74)(63,69)(64,83)(67,73)(68,84)(72,80)(75,81)(77,88)(79,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,57)(16,31)(18,35)
        (19,61)(23,43)(25,30)(26,69)(27,50)(29,34)(32,53)(33,70)(36,42)(37,81)(38,62)(40,46)(41,85)(44,49)(45,68)
        (48,52)(51,65)(54,60)(55,79)(56,73)(58,64)(59,80)(63,77)(66,72)(67,86)(71,76)(74,83)(75,87)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,57)(16,32)(18,35)
        (19,61)(23,43)(25,31)(26,69)(27,50)(29,34)(30,73)(33,53)(36,42)(37,81)(38,62)(40,46)(41,85)(44,49)(45,68)
        (48,52)(51,65)(54,60)(55,79)(56,74)(58,64)(59,80)(63,77)(66,72)(67,86)(70,76)(71,87)(75,83)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52)(53,54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,43)(24,39)(26,31)(27,34)(28,51)(30,35)(33,55)(38,42)(40,67)(41,64)(44,50)(45,76)(46,68)(48,54)
        (49,77)(52,58)(53,79)(56,62)(57,83)(60,66)(61,86)(65,74)(69,75)(70,71)(72,81)(73,87)(78,82)(80,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,44)(24,41)(26,31)(27,74)(28,52)(30,35)(33,55)(34,75)(37,43)(38,82)(39,64)(42,66)(45,51)(46,86)
        (47,67)(49,54)(50,73)(53,70)(56,62)(57,84)(58,78)(60,65)(61,85)(68,79)(69,83)(71,77)(72,87)(76,81)(80,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(16,32)(18,36)
        (19,60)(23,48)(24,44)(26,31)(27,70)(28,52)(30,35)(33,55)(34,71)(37,43)(38,78)(39,57)(41,47)(42,79)(45,62)
        (46,82)(50,54)(51,63)(53,66)(56,61)(58,74)(64,69)(65,83)(67,73)(68,87)(72,77)(75,81)(76,88)(80,85)(84,86),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,33)(18,37)
        (19,62)(23,44)(24,41)(26,32)(27,74)(28,52)(30,36)(31,78)(34,55)(35,81)(38,43)(39,63)(42,66)(45,51)(46,86)
        (47,67)(49,54)(50,73)(53,70)(56,61)(57,68)(58,85)(60,65)(64,69)(71,77)(72,87)(75,80)(76,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,48)(23,44)(25,31)(26,67)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,56)(41,47)(42,82)(45,59)(46,85)
        (49,54)(50,60)(53,63)(57,84)(58,78)(61,66)(62,86)(64,70)(65,80)(68,73)(69,76)(72,77)(75,81)(79,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(26,64)(27,53)(29,35)(30,68)(33,56)(34,71)(37,43)(38,57)(41,47)(42,79)(45,51)(46,82)
        (49,55)(50,86)(54,60)(58,81)(59,75)(61,67)(62,77)(63,87)(65,70)(66,73)(69,74)(72,78)(76,84)(80,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,63)(16,33)(18,37)
        (19,64)(23,49)(24,45)(26,32)(27,74)(28,55)(30,36)(31,78)(34,59)(35,81)(38,44)(39,61)(40,65)(42,48)(43,86)
        (46,67)(47,73)(50,54)(51,68)(53,58)(56,70)(57,69)(60,66)(62,85)(71,77)(72,87)(75,80)(76,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(45,77)(46,57)(48,54)
        (49,81)(52,59)(53,85)(58,74)(60,65)(61,86)(63,69)(64,87)(67,73)(68,83)(71,76)(72,79)(75,80)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,42)(11,21)(13,19)(14,50)(15,25)(17,27)(18,54)
        (22,38)(23,34)(26,46)(28,33)(29,67)(30,58)(32,37)(35,62)(36,68)(39,45)(40,75)(41,63)(43,49)(44,77)(47,53)
        (48,81)(51,57)(52,82)(55,61)(56,85)(59,66)(60,86)(64,74)(65,70)(69,73)(71,79)(72,87)(76,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(53,82)(54,75)(56,62)(57,85)(60,66)(61,86)(64,79)(65,87)(69,74)(72,78)(76,80)(81,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,24)(11,48)(12,22)(14,20)(15,60)(16,32)(18,36)
        (19,63)(23,44)(25,31)(26,69)(27,52)(29,35)(30,73)(33,56)(34,74)(37,43)(38,58)(39,64)(41,47)(42,78)(45,51)
        (46,81)(49,55)(50,85)(53,66)(54,86)(57,62)(59,77)(61,65)(67,72)(68,87)(70,76)(71,83)(75,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(27,71)(28,55)(30,36)(31,74)(34,59)(35,78)(38,43)(39,61)(41,47)(42,82)(45,66)
        (46,85)(49,54)(50,57)(51,67)(53,58)(56,70)(60,65)(62,81)(68,73)(69,86)(72,77)(75,80)(76,87)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,65)(23,45)(24,42)(26,32)(27,71)(28,53)(30,36)(31,75)(34,57)(35,78)(38,44)(39,63)(40,66)(43,59)(46,52)
        (47,79)(48,60)(50,56)(51,82)(54,68)(55,86)(58,64)(62,67)(69,74)(70,87)(72,77)(73,84)(76,81)(80,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,26)( 4, 9)( 6,19)( 7,38)( 8,16)(10,22)(11,20)(13,18)(14,49)(15,30)(17,34)(21,42)
        (23,29)(24,53)(25,43)(27,33)(28,57)(31,45)(32,61)(35,41)(36,73)(37,50)(39,44)(40,56)(46,52)(47,72)(48,65)
        (51,69)(54,60)(55,74)(58,64)(59,81)(62,68)(63,85)(66,77)(67,86)(70,76)(71,78)(75,84)(79,83)(80,87)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21)(22,23,24,25)(26,27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,40)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,33)(23,38)(25,31)(26,52)(27,44)(29,35)(30,56)(34,43)(41,47)(42,57)(45,48)(46,60)(49,55)(50,71)(51,64)
        (53,59)(54,75)(58,63)(61,67)(62,76)(65,68)(66,79)(69,74)(70,83)(72,78)(73,87)(77,82)(80,85)(81,88)(84,86),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,33)( 8,17)(10,20)(11,36)(14,19)(15,35)(16,28)(18,32)(21,27)
        (22,48)(23,40)(25,31)(26,52)(29,38)(30,56)(34,39)(37,43)(41,44)(42,57)(45,51)(46,67)(47,60)(49,55)(50,71)
        (53,59)(54,75)(58,63)(61,64)(62,76)(65,70)(66,79)(68,74)(69,84)(72,78)(73,86)(77,82)(80,83)(81,87)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,55)(15,25)(17,28)(18,56)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,71)(31,59)(33,39)(34,72)(37,63)(38,73)(41,46)(42,78)(43,64)(45,50)
        (48,54)(49,79)(52,58)(53,82)(57,62)(60,67)(61,83)(65,75)(66,69)(68,74)(70,86)(76,81)(77,87)(80,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,24)(10,42)(11,21)(13,19)(14,50)(15,25)(17,27)(18,54)
        (22,38)(23,34)(26,46)(28,33)(29,66)(30,55)(32,37)(35,58)(36,67)(39,45)(40,78)(41,59)(43,49)(44,79)(47,53)
        (48,82)(51,57)(52,85)(56,62)(60,74)(61,70)(63,69)(64,72)(65,86)(68,73)(71,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(30,63)(33,56)(34,66)(37,43)(38,78)(39,57)(41,47)(42,81)(45,51)(46,85)
        (49,55)(50,72)(53,60)(54,68)(58,74)(59,70)(62,65)(64,69)(67,73)(71,86)(75,80)(76,83)(77,87)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,44)(12,21)(14,19)(15,55)(16,29)(18,32)
        (22,40)(23,37)(25,31)(26,66)(27,48)(30,51)(33,39)(34,74)(35,56)(38,59)(41,47)(42,78)(43,60)(45,50)(46,65)
        (49,62)(52,58)(53,86)(54,67)(57,70)(61,75)(63,69)(64,79)(68,82)(71,77)(72,84)(73,87)(76,81)(80,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(23,64)(24,40)(27,44)(30,35)(31,56)(33,39)(34,69)(37,43)(38,71)(41,60)(42,75)(45,51)(46,82)(47,65)
        (49,55)(50,83)(53,59)(54,80)(57,68)(58,85)(61,67)(62,87)(63,76)(66,78)(70,74)(72,77)(73,86)(79,84)(81,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,41)(14,20)(15,52)(16,29)(18,33)(19,55)
        (22,28)(23,66)(24,45)(26,32)(27,67)(30,48)(31,70)(34,40)(35,81)(36,59)(38,44)(39,85)(42,47)(43,65)(46,62)
        (49,54)(50,79)(51,74)(53,58)(56,61)(57,80)(60,77)(63,69)(64,86)(68,73)(71,76)(72,87)(75,83)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(31,70)(34,52)(35,74)(38,44)(39,81)(40,60)(42,47)(43,85)
        (46,63)(51,64)(53,59)(54,80)(55,75)(58,62)(61,78)(65,69)(66,86)(68,73)(71,77)(72,87)(76,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(30,68)(33,52)(34,71)(37,43)(38,81)(39,60)(41,47)(42,85)(45,51)
        (46,66)(50,63)(53,58)(54,80)(55,75)(57,62)(61,78)(64,70)(65,86)(69,74)(72,77)(73,87)(76,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(30,70)(33,52)(34,74)(37,43)(38,81)(39,60)(41,47)(42,85)(45,51)
        (46,66)(50,63)(53,58)(54,80)(55,75)(57,62)(61,78)(64,69)(65,86)(68,73)(71,77)(72,87)(76,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(26,67)(27,49)(29,35)(30,70)(33,52)(34,74)(37,43)(38,81)(39,60)(41,47)(42,85)(45,51)
        (46,66)(50,63)(53,59)(54,80)(55,75)(58,62)(61,78)(64,69)(65,86)(68,73)(71,77)(72,87)(76,83)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(30,71)(33,52)(34,74)(37,43)(38,82)(39,62)(41,47)(42,85)(45,51)
        (46,69)(50,66)(53,58)(54,64)(55,78)(57,61)(60,65)(63,81)(67,73)(68,86)(72,77)(75,80)(76,87)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(30,73)(33,52)(34,77)(37,43)(38,82)(39,62)(41,47)(42,85)(45,51)
        (46,69)(50,66)(53,58)(54,64)(55,78)(57,61)(60,65)(63,81)(67,72)(68,86)(71,76)(74,80)(75,87)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(27,61)(30,49)(31,64)(34,40)(35,71)(36,51)(38,44)(39,75)(42,48)(43,78)(46,56)
        (47,82)(50,55)(52,68)(57,63)(58,85)(59,83)(62,67)(65,70)(66,86)(69,74)(72,77)(73,87)(76,81)(79,84)(80,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(27,79)(28,56)(30,36)(31,81)(34,60)(35,85)(38,43)(39,72)(41,47)(42,73)(45,75)
        (46,70)(49,55)(50,62)(51,76)(53,59)(54,87)(57,78)(58,83)(61,67)(63,86)(65,71)(66,77)(69,74)(80,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70,71)(72,73,74)(75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,56)(16,33)(18,37)
        (19,60)(23,44)(24,40)(26,32)(27,66)(28,52)(30,36)(31,70)(34,46)(35,74)(39,43)(41,58)(42,61)(45,51)(47,59)
        (49,55)(50,75)(53,63)(54,78)(57,62)(64,69)(65,82)(67,73)(68,83)(71,77)(72,86)(76,81)(79,85)(80,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(34,71)(37,43)(38,79)(39,58)(41,46)(42,82)(45,62)
        (49,63)(51,57)(52,60)(53,74)(56,61)(59,78)(64,69)(65,83)(67,73)(68,87)(72,77)(75,81)(76,88)(80,85)(84,86),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(57,80)(58,75)(60,66)(61,82)(64,70)(65,86)(69,74)(72,78)(73,87)(76,79)(77,84)(81,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,63)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,55)(28,34)(29,56)(32,59)(33,70)(36,42)(37,78)(38,64)(40,46)(41,82)(44,66)(45,83)
        (48,54)(49,85)(50,67)(52,58)(53,86)(57,73)(60,65)(61,81)(62,74)(68,75)(69,80)(71,77)(72,87)(76,88)(79,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,55)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,63)(27,49)(29,35)(30,67)(33,51)(34,70)(37,43)(38,81)(39,56)(42,59)(45,50)(46,66)
        (47,60)(52,58)(53,80)(54,74)(57,78)(61,85)(62,82)(64,69)(65,86)(68,73)(71,77)(72,87)(75,83)(76,88)(79,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,55)(16,32)(18,36)
        (22,44)(23,41)(25,31)(26,63)(27,49)(29,35)(30,67)(33,51)(34,71)(37,43)(38,81)(39,56)(42,59)(45,50)(46,66)
        (47,60)(52,58)(53,80)(54,74)(57,78)(61,85)(62,82)(64,70)(65,86)(68,73)(69,87)(72,77)(75,83)(76,88)(79,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,20)(11,40)(14,19)(15,51)(16,28)(18,32)(21,27)
        (22,59)(23,44)(25,31)(26,63)(29,47)(30,67)(33,39)(34,77)(35,52)(37,43)(38,81)(41,46)(42,58)(45,55)(48,54)
        (49,76)(50,70)(53,74)(56,62)(57,82)(60,66)(61,85)(64,69)(65,86)(68,73)(71,79)(72,87)(75,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,51)(16,29)(18,33)(19,54)
        (22,28)(23,66)(24,44)(26,32)(27,70)(30,47)(31,73)(34,39)(35,58)(37,43)(38,82)(41,46)(42,65)(45,62)(48,53)
        (49,56)(50,77)(52,57)(55,61)(59,81)(60,78)(63,69)(64,83)(67,72)(68,86)(71,76)(74,80)(75,87)(79,88)(84,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,36)( 8,17)(10,21)(11,40)(14,20)(15,51)(16,29)(18,33)(19,54)
        (22,28)(23,66)(24,44)(26,32)(27,70)(30,47)(31,74)(34,39)(35,58)(37,43)(38,82)(41,46)(42,65)(45,62)(48,53)
        (49,56)(50,77)(52,57)(55,61)(59,81)(60,78)(63,69)(64,83)(67,73)(68,86)(71,76)(72,87)(75,80)(79,88)(84,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,41)(14,20)(15,51)(16,29)(18,33)(19,55)
        (22,28)(23,64)(24,45)(26,32)(27,67)(30,48)(31,71)(34,40)(35,73)(36,59)(38,44)(39,69)(42,47)(43,66)(46,63)
        (49,54)(50,75)(52,58)(53,80)(56,62)(57,83)(60,77)(61,86)(65,70)(68,74)(72,78)(76,79)(81,85)(82,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,55)(16,32)(18,36)
        (19,59)(23,47)(24,44)(26,31)(27,49)(29,35)(30,69)(33,51)(34,71)(37,43)(38,77)(39,63)(41,46)(42,73)(45,67)
        (50,68)(52,58)(53,81)(54,75)(56,62)(57,83)(60,66)(61,86)(64,79)(65,87)(70,74)(72,78)(76,80)(82,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,16)(10,20)(11,39)(14,19)(15,28)(17,32)(18,48)(21,27)
        (22,59)(23,43)(25,31)(26,63)(29,47)(30,64)(33,38)(34,75)(35,51)(37,42)(40,46)(41,76)(44,55)(45,79)(49,54)
        (50,67)(52,71)(53,83)(56,62)(57,73)(58,80)(60,66)(61,86)(65,70)(68,82)(69,87)(72,78)(74,85)(77,81)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84)(85,86,87,88) ), 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)(23,64)(24,44)(26,32)(27,68)(30,48)(31,69)(34,39)(35,57)(37,43)(38,72)(41,47)(42,75)(45,60)(46,79)
        (49,55)(50,82)(51,66)(53,59)(54,86)(58,71)(61,67)(62,85)(63,80)(65,70)(73,78)(74,87)(76,81)(77,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,21)( 7,39)( 8,17)(10,24)(11,47)(12,22)(14,20)(15,57)(16,31)(18,35)
        (19,61)(23,43)(25,30)(26,50)(28,34)(29,70)(32,53)(33,73)(36,42)(37,79)(38,65)(40,46)(41,75)(44,49)(45,72)
        (48,52)(51,69)(54,60)(55,83)(56,77)(58,64)(59,85)(62,68)(63,86)(66,81)(67,87)(71,76)(74,80)(78,82)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,41)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,40)(23,36)(26,47)(27,44)(29,35)(30,68)(31,59)(33,39)(34,71)(37,43)(38,66)(42,46)(45,63)(48,54)(49,75)
        (50,64)(52,58)(53,79)(56,62)(57,80)(60,67)(61,83)(65,72)(69,74)(70,86)(73,78)(76,82)(77,87)(81,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,80)(39,66)(41,47)(42,76)(45,51)
        (46,73)(50,54)(53,70)(56,62)(57,84)(58,78)(60,65)(61,86)(64,69)(67,82)(68,87)(72,77)(75,81)(79,83)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,63)(23,48)(24,44)(26,31)(27,52)(29,35)(30,71)(33,55)(34,74)(37,43)(38,80)(39,66)(41,47)(42,76)(45,50)
        (46,73)(49,54)(53,70)(56,62)(57,84)(58,78)(60,65)(61,86)(64,69)(67,82)(68,87)(72,77)(75,81)(79,83)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,51)(15,31)(17,35)(18,54)
        (22,43)(23,39)(25,30)(26,70)(27,44)(29,34)(32,47)(33,71)(37,42)(38,58)(40,62)(41,78)(45,66)(46,63)(48,53)
        (49,85)(50,74)(52,57)(55,61)(56,86)(59,77)(60,87)(64,69)(65,79)(67,73)(68,84)(72,76)(75,81)(80,83)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,51)(15,32)(17,35)(18,54)
        (22,43)(23,39)(25,31)(26,70)(27,44)(29,34)(30,73)(33,47)(37,42)(38,58)(40,62)(41,78)(45,66)(46,63)(48,53)
        (49,85)(50,74)(52,57)(55,61)(56,86)(59,77)(60,87)(64,69)(65,79)(67,72)(68,84)(71,76)(75,81)(80,83)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,51)(15,31)(17,35)(18,55)
        (22,43)(23,39)(25,30)(26,70)(27,44)(29,34)(32,47)(33,71)(37,42)(38,58)(40,62)(41,78)(45,66)(46,63)(48,54)
        (49,85)(50,74)(52,57)(53,86)(56,61)(59,77)(60,87)(64,69)(65,79)(67,73)(68,84)(72,76)(75,81)(80,83)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,57)(16,33)(18,37)
        (19,61)(23,41)(24,39)(26,32)(27,72)(28,49)(30,36)(31,75)(34,53)(35,78)(40,64)(42,48)(43,55)(44,65)(46,52)
        (47,83)(50,68)(51,86)(54,60)(56,82)(58,63)(59,66)(62,67)(69,74)(70,80)(71,87)(73,77)(76,81)(79,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63)(64,65,66,67)(68,69,70,71)(72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,39)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,62)(23,43)(24,40)(26,31)(27,51)(29,35)(30,71)(33,55)(34,74)(37,42)(38,63)(41,66)(44,50)(45,79)(46,67)
        (48,54)(49,82)(52,70)(53,86)(56,61)(57,68)(58,78)(60,65)(64,69)(72,77)(73,87)(75,81)(76,84)(80,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,27)( 7,16)( 9,20)(10,31)(13,19)(14,43)(15,21)(17,24)(18,47)(22,39)
        (23,35)(25,30)(26,51)(28,34)(29,52)(32,38)(33,59)(36,55)(37,63)(40,46)(41,74)(42,56)(44,50)(45,77)(48,54)
        (49,81)(53,62)(57,70)(58,67)(60,66)(61,82)(64,69)(65,88)(68,85)(71,76)(72,79)(73,86)(75,80)(78,84)(83,87),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,51)(15,25)(17,28)(18,52)
        (22,36)(23,33)(26,47)(27,43)(29,35)(30,70)(31,55)(34,59)(37,42)(38,60)(40,46)(41,75)(44,63)(45,78)(48,54)
        (49,85)(50,64)(53,58)(56,67)(57,86)(61,74)(62,71)(65,81)(66,79)(68,73)(69,87)(72,83)(76,80)(77,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,36)(23,33)(26,47)(27,43)(29,35)(30,71)(31,58)(34,62)(37,42)(38,63)(40,46)(41,75)(44,66)(45,78)(48,54)
        (49,85)(50,67)(52,57)(53,86)(56,61)(59,70)(60,87)(64,74)(65,72)(68,81)(69,79)(73,83)(76,80)(77,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,36)( 8,17)(10,20)(11,40)(14,19)(15,52)(16,28)(18,32)(21,27)
        (22,60)(23,44)(25,31)(26,61)(29,48)(30,62)(33,39)(34,68)(35,53)(37,43)(38,71)(41,47)(42,74)(45,56)(46,78)
        (49,55)(50,85)(51,58)(54,64)(57,63)(59,82)(65,70)(66,76)(67,86)(69,73)(72,77)(75,81)(79,84)(80,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,33)( 8,17)(10,21)(11,36)(14,20)(15,48)(16,28)(18,32)(19,52)
        (22,27)(23,64)(24,40)(26,31)(29,44)(30,65)(34,39)(35,56)(37,43)(38,68)(41,60)(42,71)(45,51)(46,78)(47,62)
        (49,55)(50,82)(53,59)(54,86)(57,67)(58,87)(61,66)(63,75)(69,74)(70,84)(72,77)(73,80)(76,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,25)( 7,16)( 9,20)(10,28)(13,19)(14,40)(15,21)(17,24)(18,44)(22,36)
        (23,32)(26,31)(27,48)(29,35)(30,57)(33,52)(34,60)(37,43)(38,70)(39,53)(41,47)(42,74)(45,51)(46,75)(49,56)
        (50,78)(54,67)(55,64)(58,63)(59,81)(61,66)(62,88)(65,85)(68,73)(69,86)(71,77)(72,83)(76,80)(79,84)(82,87),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,25)( 7,16)( 9,20)(10,28)(13,19)(14,40)(15,21)(17,24)(18,44)(22,36)
        (23,32)(26,31)(27,48)(29,35)(30,57)(33,52)(34,60)(37,43)(38,70)(39,53)(41,47)(42,74)(45,51)(46,77)(49,56)
        (50,78)(54,67)(55,64)(58,63)(59,81)(61,66)(62,88)(65,85)(68,73)(69,86)(71,76)(72,83)(75,80)(79,84)(82,87),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(31,77)(34,58)(35,78)(38,44)(39,85)(40,64)(42,47)(43,86)
        (46,66)(49,54)(50,73)(51,67)(53,57)(56,70)(59,65)(60,88)(61,81)(68,82)(69,87)(71,76)(72,83)(75,80)(79,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,29)(18,32)
        (19,59)(23,40)(25,31)(26,67)(27,48)(30,51)(33,39)(34,75)(35,60)(37,43)(38,79)(41,47)(42,83)(45,50)(46,86)
        (49,63)(52,58)(53,73)(54,68)(56,62)(57,74)(61,71)(64,70)(65,81)(66,87)(69,77)(72,78)(76,82)(80,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,54)(16,30)(18,33)
        (19,58)(23,40)(24,37)(26,32)(27,74)(28,47)(31,50)(35,39)(36,62)(38,66)(41,46)(42,73)(43,67)(45,49)(48,70)
        (51,57)(52,85)(53,75)(55,61)(56,86)(59,65)(60,87)(63,69)(64,83)(68,78)(71,77)(72,79)(76,81)(80,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,39)( 8,16)(10,24)(11,21)(13,19)(14,55)(15,31)(17,35)(18,56)
        (22,47)(23,43)(25,30)(26,48)(28,34)(29,63)(32,51)(33,66)(36,42)(37,74)(38,57)(40,46)(41,78)(44,59)(45,82)
        (49,62)(50,60)(52,58)(53,77)(54,70)(61,86)(64,69)(65,87)(67,73)(68,84)(71,76)(72,80)(75,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,61)(16,32)(18,36)
        (19,65)(23,47)(24,44)(26,31)(27,54)(29,35)(30,74)(33,57)(34,77)(37,43)(38,82)(39,66)(41,46)(42,85)(45,69)
        (48,53)(49,76)(50,70)(52,56)(55,73)(58,64)(59,87)(60,78)(62,68)(63,84)(67,81)(71,79)(72,86)(75,80)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56)(57,58,59,60)(61,62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)
        (19,67)(23,48)(24,44)(26,32)(27,78)(28,55)(30,36)(31,82)(34,59)(35,83)(38,43)(39,70)(41,47)(42,86)(45,51)
        (46,77)(49,54)(50,57)(53,58)(56,74)(60,66)(61,88)(62,80)(64,69)(65,72)(68,73)(71,85)(75,81)(76,87)(79,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,61)(16,33)(18,37)
        (19,65)(23,49)(24,45)(26,32)(27,75)(28,53)(30,36)(31,79)(34,57)(35,80)(38,44)(39,82)(40,66)(42,48)(43,85)
        (46,68)(47,74)(51,56)(52,69)(54,71)(55,70)(58,64)(59,87)(60,77)(62,67)(63,84)(72,78)(73,86)(76,81)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84)(85,86,87,88) ), 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)
        (19,64)(23,45)(24,41)(27,32)(28,52)(30,56)(31,72)(34,40)(35,83)(36,67)(38,44)(39,77)(42,48)(43,74)(46,51)
        (47,54)(50,55)(53,71)(57,63)(58,81)(59,75)(61,66)(62,86)(65,70)(68,79)(69,87)(73,78)(76,84)(80,85)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), 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)
        (19,64)(23,49)(24,45)(26,32)(27,74)(28,56)(30,36)(31,78)(34,60)(35,82)(38,44)(39,80)(40,67)(42,48)(43,76)
        (46,52)(47,73)(50,55)(51,58)(54,59)(57,71)(62,66)(63,86)(65,70)(68,84)(69,87)(72,77)(75,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,57)(16,29)(18,33)
        (19,61)(23,45)(24,41)(27,32)(28,49)(30,53)(31,72)(34,40)(35,83)(36,65)(38,44)(39,77)(42,68)(43,74)(47,52)
        (48,69)(50,71)(51,70)(54,60)(55,81)(56,75)(58,64)(59,86)(62,67)(63,87)(66,79)(73,78)(76,84)(80,85)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,50)(12,22)(14,20)(15,58)(16,33)(18,37)
        (19,61)(23,49)(24,45)(26,32)(27,74)(28,53)(30,36)(31,78)(34,57)(35,82)(38,44)(39,80)(40,65)(42,48)(43,76)
        (46,68)(47,73)(51,56)(52,69)(54,71)(55,70)(59,64)(60,86)(62,67)(63,87)(66,84)(72,77)(75,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)
        (19,59)(23,40)(25,31)(26,70)(27,48)(29,35)(30,73)(33,52)(34,74)(38,43)(39,62)(41,47)(42,82)(45,51)(46,85)
        (49,66)(50,86)(53,58)(54,64)(55,77)(57,61)(60,65)(63,81)(67,72)(68,79)(69,87)(71,76)(75,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,46)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,59)(23,45)(24,41)(27,32)(28,49)(30,52)(31,68)(34,40)(35,78)(36,60)(38,44)(39,82)(42,63)(43,85)(47,51)
        (48,64)(50,67)(53,58)(54,77)(55,71)(57,62)(61,75)(65,70)(66,86)(69,74)(72,80)(73,87)(76,81)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,59)(23,45)(24,41)(27,32)(28,49)(30,52)(31,71)(34,40)(35,79)(36,62)(38,44)(39,82)(42,66)(43,85)(46,51)
        (47,67)(50,70)(53,58)(54,64)(55,74)(57,61)(60,65)(63,78)(68,73)(69,86)(72,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,30)( 7,16)( 9,23)(10,38)(11,21)(13,19)(14,50)(15,24)(17,27)(18,54)
        (22,34)(25,46)(26,42)(28,33)(29,58)(31,37)(32,66)(35,41)(36,69)(39,45)(40,73)(43,61)(44,74)(47,53)(48,81)
        (49,62)(51,57)(52,82)(55,60)(56,85)(59,65)(63,77)(64,75)(67,72)(68,86)(70,76)(71,80)(78,84)(79,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,23)(11,46)(12,21)(14,19)(15,58)(16,31)(18,35)
        (22,42)(24,30)(25,66)(26,50)(28,34)(29,70)(32,54)(33,71)(36,41)(37,59)(39,45)(40,74)(43,49)(44,77)(47,53)
        (48,81)(51,62)(52,82)(55,61)(56,85)(57,68)(60,73)(63,69)(64,88)(65,83)(67,72)(75,80)(76,86)(78,84)(79,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,56)(16,28)(18,32)
        (19,59)(23,40)(26,31)(27,48)(29,52)(30,67)(33,39)(34,77)(35,62)(37,43)(38,78)(41,47)(42,81)(45,51)(46,85)
        (49,66)(50,86)(53,58)(54,64)(55,70)(57,61)(60,65)(63,74)(68,73)(69,87)(71,76)(72,83)(75,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,35)( 8,17)(10,24)(11,43)(12,22)(14,20)(15,55)(16,28)(18,32)
        (19,56)(23,39)(26,31)(27,47)(29,51)(30,64)(33,38)(34,59)(36,42)(37,72)(40,46)(41,75)(44,50)(45,79)(48,63)
        (49,80)(52,58)(53,86)(54,67)(57,62)(60,71)(61,87)(65,70)(66,81)(68,83)(69,77)(73,78)(74,85)(76,82)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,31)( 7,16)( 9,23)(10,39)(11,21)(13,19)(14,51)(15,24)(17,27)(18,55)
        (22,35)(25,47)(26,43)(28,34)(29,67)(30,56)(32,38)(33,68)(36,42)(37,71)(40,46)(41,75)(44,59)(45,76)(48,54)
        (49,83)(50,60)(52,58)(53,86)(57,63)(61,79)(62,77)(64,70)(65,81)(66,87)(69,74)(72,78)(73,82)(80,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), 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)(30,70)(31,59)(33,39)(34,71)(37,43)(38,74)(41,47)(42,78)(46,63)(49,55)
        (50,85)(51,64)(53,58)(54,86)(57,62)(60,67)(61,87)(65,81)(66,79)(68,73)(69,83)(72,77)(75,80)(76,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,67)(27,52)(29,34)(32,55)(33,68)(36,42)(37,72)(38,60)(40,46)(41,75)(44,50)(45,78)
        (48,54)(49,82)(53,63)(56,62)(57,85)(58,69)(61,71)(64,70)(65,88)(66,83)(73,77)(74,86)(76,81)(79,84)(80,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(30,71)(31,59)(33,39)(34,75)(37,43)(38,78)(41,47)(42,82)(46,63)(49,55)
        (50,70)(51,64)(53,58)(54,61)(57,62)(60,67)(65,85)(66,83)(68,74)(69,86)(72,77)(73,87)(76,81)(79,84)(80,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,21)( 7,35)( 8,17)(10,24)(11,43)(12,22)(14,20)(15,55)(16,28)(18,32)
        (19,58)(23,39)(26,31)(27,47)(29,51)(30,66)(33,38)(34,62)(36,42)(37,74)(40,46)(41,77)(44,50)(45,81)(48,65)
        (49,82)(52,57)(53,86)(54,69)(56,61)(59,64)(60,87)(63,73)(67,72)(68,83)(70,85)(71,79)(75,80)(76,88)(78,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,56)(16,33)(18,37)
        (19,60)(23,44)(24,41)(26,32)(27,67)(28,52)(30,36)(31,70)(34,46)(35,74)(38,43)(39,61)(42,58)(45,51)(47,59)
        (49,55)(50,75)(53,63)(54,78)(57,62)(64,69)(65,86)(66,82)(68,73)(71,77)(72,87)(76,81)(79,84)(80,88)(83,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)
        (19,64)(23,44)(24,42)(26,32)(27,71)(28,52)(30,36)(31,74)(34,56)(35,78)(38,43)(39,47)(40,65)(45,51)(46,62)
        (49,55)(50,58)(53,67)(54,83)(57,63)(59,82)(61,66)(68,73)(69,76)(70,86)(72,77)(75,81)(79,85)(80,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,57)(16,33)(18,37)
        (19,61)(23,41)(24,39)(26,32)(27,71)(28,49)(30,36)(31,74)(34,53)(35,78)(40,64)(42,48)(43,59)(44,65)(46,52)
        (47,55)(50,67)(51,83)(54,60)(56,82)(58,63)(62,66)(68,73)(69,76)(70,86)(72,77)(75,81)(79,85)(80,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63)(64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,21)( 4, 9)( 6,12)( 7,31)( 8,17)(10,20)(11,35)(14,19)(15,47)(16,24)(18,28)(22,27)
        (23,39)(25,43)(26,52)(29,34)(30,48)(32,38)(33,59)(36,42)(37,62)(40,51)(41,66)(44,50)(45,78)(46,55)(49,58)
        (53,57)(54,70)(56,74)(60,65)(61,79)(63,69)(64,83)(67,73)(68,84)(71,77)(72,86)(75,81)(76,87)(80,82)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,24)( 4, 9)( 6,12)( 7,32)( 8,17)(10,20)(11,35)(14,19)(15,47)(16,25)(18,28)(21,27)
        (22,54)(23,39)(26,43)(29,34)(30,62)(31,48)(33,38)(36,42)(37,63)(40,51)(41,66)(44,50)(45,78)(46,55)(49,58)
        (52,57)(53,70)(56,74)(59,65)(60,83)(61,79)(64,69)(67,73)(68,84)(71,77)(72,86)(75,81)(76,87)(80,82)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)
        (19,66)(23,48)(24,44)(26,31)(27,77)(28,54)(30,35)(33,58)(34,78)(37,43)(38,82)(39,67)(41,47)(42,85)(45,70)
        (46,76)(49,53)(50,71)(52,57)(55,73)(56,72)(59,65)(60,87)(61,79)(63,69)(64,84)(68,81)(74,80)(75,86)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)
        (19,66)(23,48)(24,44)(26,32)(27,77)(28,54)(30,35)(31,78)(34,58)(37,43)(38,82)(39,67)(41,47)(42,85)(45,70)
        (46,76)(49,53)(50,71)(52,57)(55,73)(56,72)(59,65)(60,87)(61,79)(63,69)(64,84)(68,81)(74,80)(75,86)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,62)(16,33)(18,37)
        (19,63)(23,47)(24,44)(26,32)(27,74)(28,55)(30,36)(31,75)(34,58)(35,78)(38,43)(39,69)(40,64)(42,46)(45,66)
        (48,54)(49,83)(50,67)(52,57)(53,86)(56,70)(59,65)(60,68)(61,82)(71,77)(72,80)(73,87)(76,81)(79,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(27,74)(28,52)(30,36)(31,75)(34,55)(35,78)(39,43)(40,63)(42,66)(45,51)(46,83)
        (47,67)(49,54)(50,86)(53,70)(56,62)(57,68)(58,82)(61,65)(64,69)(71,77)(72,80)(73,87)(76,81)(79,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,51)(15,31)(17,35)(18,55)
        (22,43)(23,39)(25,30)(26,44)(28,34)(29,64)(32,47)(33,67)(37,42)(38,56)(40,59)(41,72)(45,63)(46,60)(48,54)
        (49,85)(50,68)(52,58)(53,86)(57,71)(61,78)(62,75)(65,70)(66,79)(69,81)(73,77)(74,87)(76,83)(80,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(23,49)(24,45)(26,32)(27,78)(28,56)(30,36)(31,79)(34,60)(35,82)(38,44)(39,62)(40,68)(42,48)(43,86)
        (46,70)(47,77)(50,55)(51,71)(53,59)(54,72)(57,74)(58,73)(61,66)(63,85)(65,69)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(23,49)(24,45)(26,32)(27,78)(28,56)(30,36)(31,81)(34,60)(35,82)(38,44)(39,62)(40,68)(42,48)(43,86)
        (46,70)(47,77)(50,55)(51,71)(53,59)(54,72)(57,74)(58,73)(61,66)(63,85)(65,69)(75,80)(76,87)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(16,30)(18,33)
        (19,64)(23,45)(24,41)(26,32)(27,78)(28,52)(31,56)(34,40)(35,82)(36,67)(38,44)(39,85)(42,70)(43,77)(46,51)
        (47,71)(49,55)(50,72)(53,74)(54,73)(57,63)(58,87)(59,79)(61,66)(62,84)(65,69)(68,81)(75,80)(76,86)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,55)(15,25)(17,28)(18,59)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,79)(31,63)(33,39)(34,80)(37,67)(38,74)(41,46)(42,68)(44,50)(45,69)
        (48,71)(49,70)(52,58)(53,77)(54,72)(56,62)(57,83)(60,66)(61,86)(64,75)(65,87)(73,81)(76,82)(78,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,16)(10,24)(11,51)(12,21)(14,19)(15,32)(17,36)(18,60)
        (22,48)(23,44)(25,31)(26,75)(27,55)(29,35)(30,79)(33,59)(34,83)(37,43)(38,77)(39,63)(41,47)(42,73)(45,67)
        (46,74)(49,54)(50,68)(52,58)(53,69)(56,71)(57,70)(61,66)(62,86)(64,81)(65,87)(72,78)(76,82)(80,85)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), 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)(27,74)(28,55)(30,36)(31,75)(34,59)(35,78)(38,43)(39,85)(40,61)(42,47)(45,66)
        (46,86)(49,54)(50,57)(51,67)(53,58)(56,70)(60,65)(62,81)(68,73)(69,87)(71,77)(72,83)(76,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(27,70)(28,55)(30,36)(31,73)(34,59)(35,74)(38,43)(39,81)(40,61)(42,47)(45,51)
        (46,82)(49,54)(50,85)(53,58)(56,66)(57,86)(60,65)(62,77)(67,72)(68,79)(69,87)(71,76)(75,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(27,70)(28,56)(30,36)(31,73)(34,59)(35,74)(38,43)(39,81)(40,61)(42,47)(45,51)
        (46,82)(49,55)(50,85)(53,58)(54,86)(57,66)(60,65)(62,77)(67,72)(68,79)(69,87)(71,76)(75,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,55)(15,25)(17,28)(18,56)
        (22,40)(23,36)(26,51)(27,48)(29,35)(30,70)(31,59)(33,39)(34,71)(37,43)(38,74)(41,47)(42,78)(45,50)(46,79)
        (49,63)(52,58)(53,86)(54,64)(57,62)(60,67)(61,87)(65,82)(66,80)(68,73)(69,84)(72,77)(75,81)(76,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(16,33)(18,36)
        (19,62)(23,44)(24,40)(26,32)(27,73)(28,52)(30,35)(31,74)(34,55)(38,43)(39,66)(41,47)(42,78)(45,51)(46,81)
        (49,54)(50,82)(53,69)(56,61)(57,85)(58,75)(60,65)(63,68)(64,86)(67,77)(70,76)(71,88)(72,83)(79,84)(80,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,55)(15,25)(17,28)(18,56)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,68)(31,59)(33,39)(34,71)(37,43)(38,74)(41,46)(42,78)(45,50)(48,63)
        (49,79)(52,58)(53,86)(54,64)(57,62)(60,67)(61,87)(65,82)(66,80)(69,73)(70,84)(72,77)(75,81)(76,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(18,53)
        (22,40)(23,36)(26,48)(27,44)(29,35)(30,70)(31,56)(33,39)(34,74)(37,59)(38,77)(42,47)(43,60)(45,62)(46,82)
        (49,55)(50,69)(51,63)(54,58)(57,66)(61,81)(64,85)(65,83)(67,73)(68,86)(71,76)(72,87)(75,80)(78,84)(79,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,52)(15,25)(17,28)(18,53)
        (22,40)(23,36)(26,48)(27,45)(29,35)(30,70)(31,56)(33,39)(34,74)(37,59)(38,77)(41,47)(42,82)(43,60)(46,62)
        (49,55)(50,69)(51,63)(54,58)(57,66)(61,81)(64,85)(65,83)(67,73)(68,86)(71,76)(72,87)(75,80)(78,84)(79,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,67)(27,51)(30,55)(33,39)(34,71)(35,60)(37,43)(38,74)(41,47)(42,77)(45,50)(46,81)
        (49,54)(52,63)(53,82)(56,62)(57,85)(58,68)(61,70)(64,69)(65,88)(66,83)(72,76)(73,86)(75,80)(78,84)(79,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(34,73)(35,57)(37,43)(38,74)(41,60)(42,77)(46,51)(47,61)
        (49,63)(50,82)(53,59)(54,85)(55,68)(58,70)(62,81)(64,69)(65,88)(66,83)(71,76)(72,86)(75,80)(78,84)(79,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,59)(16,29)(18,32)
        (22,44)(23,40)(25,31)(26,67)(27,52)(30,55)(33,39)(34,71)(35,60)(37,43)(38,74)(41,47)(42,77)(45,51)(46,81)
        (49,54)(50,82)(53,63)(56,62)(57,85)(58,68)(61,70)(64,69)(65,88)(66,83)(72,76)(73,86)(75,80)(78,84)(79,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,30)(18,33)
        (19,60)(23,44)(24,40)(26,32)(27,71)(28,52)(31,55)(34,39)(35,63)(37,43)(38,75)(41,47)(42,77)(45,51)(46,81)
        (49,54)(50,82)(53,67)(56,62)(57,85)(58,72)(61,66)(64,74)(65,86)(68,73)(69,88)(70,83)(76,80)(78,84)(79,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)
        (19,59)(23,44)(24,40)(26,32)(27,74)(28,49)(31,52)(34,39)(35,63)(37,43)(38,64)(41,67)(42,77)(45,51)(46,82)
        (47,68)(50,70)(53,58)(54,85)(55,75)(57,62)(60,66)(61,86)(65,80)(69,81)(71,76)(72,88)(73,83)(78,84)(79,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(18,53)
        (22,40)(23,36)(26,48)(27,44)(29,35)(30,71)(31,56)(33,39)(34,74)(37,59)(38,78)(42,47)(43,60)(45,63)(46,61)
        (49,55)(50,70)(51,64)(54,58)(57,67)(62,82)(65,85)(66,83)(68,73)(69,86)(72,77)(75,81)(76,87)(79,84)(80,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(18,57)
        (22,39)(23,35)(26,50)(27,46)(29,34)(30,61)(32,38)(33,70)(36,42)(37,73)(40,45)(41,77)(44,49)(47,65)(48,78)
        (51,56)(52,85)(53,66)(55,60)(58,64)(59,86)(62,69)(63,87)(67,81)(68,79)(71,76)(72,83)(74,80)(75,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(18,55)
        (22,40)(23,36)(26,48)(27,44)(29,35)(30,70)(31,56)(33,39)(34,73)(37,59)(38,77)(42,47)(43,60)(45,62)(46,82)
        (49,54)(50,69)(51,63)(53,58)(57,66)(61,81)(64,85)(65,83)(67,72)(68,86)(71,76)(74,80)(75,87)(78,84)(79,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(27,47)(29,34)(30,61)(32,38)(33,70)(36,42)(37,73)(40,46)(41,77)(44,49)(45,78)(48,65)
        (51,57)(52,85)(53,66)(55,60)(56,86)(59,64)(62,69)(63,87)(67,81)(68,79)(71,76)(72,83)(74,80)(75,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,47)(23,44)(25,31)(26,71)(27,55)(29,35)(30,74)(33,59)(34,77)(37,43)(38,60)(41,46)(42,66)(45,63)(48,54)
        (49,82)(50,64)(52,58)(53,85)(56,67)(57,86)(61,65)(62,81)(68,73)(69,79)(70,87)(72,76)(75,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,36)( 8,16)(10,23)(11,20)(13,18)(14,51)(15,31)(17,35)(21,43)
        (22,39)(24,30)(25,63)(26,44)(28,34)(29,66)(32,47)(33,69)(37,42)(38,52)(40,55)(41,78)(45,59)(46,56)(48,54)
        (49,80)(50,73)(53,77)(57,85)(58,81)(60,65)(61,71)(62,86)(64,68)(67,72)(70,76)(74,83)(75,87)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(26,73)(27,54)(29,35)(30,74)(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)(56,86)(59,64)(60,67)(61,81)(70,76)(71,79)(72,87)(75,80)(78,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(49,86)(50,63)(53,66)(56,61)(57,85)(58,78)(64,79)(65,84)(67,73)(68,76)(69,87)(72,77)(75,81)(80,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,59)(16,29)(18,33)
        (19,60)(23,43)(24,40)(27,32)(28,51)(30,55)(31,71)(34,39)(35,63)(37,42)(38,79)(41,66)(44,50)(45,82)(46,67)
        (48,54)(49,85)(52,70)(53,86)(56,62)(57,81)(58,74)(61,65)(64,78)(68,75)(69,80)(72,77)(73,87)(76,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,42)(11,20)(13,18)(14,54)(15,24)(17,27)(21,38)
        (22,35)(25,50)(26,46)(28,34)(29,69)(30,55)(32,37)(33,73)(36,58)(39,45)(40,77)(41,59)(43,49)(44,81)(47,61)
        (48,82)(51,57)(52,68)(53,62)(56,65)(60,74)(63,85)(64,83)(66,72)(67,86)(70,76)(71,87)(75,80)(78,84)(79,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)
        (19,64)(23,48)(24,44)(26,32)(27,79)(28,53)(30,36)(31,80)(34,56)(35,77)(38,43)(39,67)(41,47)(42,68)(45,71)
        (46,85)(49,55)(50,83)(51,72)(54,75)(57,63)(58,73)(59,82)(61,66)(62,87)(65,70)(69,88)(74,86)(76,81)(78,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,23)(11,46)(12,21)(14,19)(15,58)(16,30)(18,34)
        (22,42)(24,29)(25,66)(26,50)(28,33)(31,54)(32,67)(35,41)(36,70)(37,59)(39,45)(40,73)(43,49)(44,74)(47,53)
        (48,77)(51,62)(52,81)(55,61)(56,85)(57,64)(60,69)(63,68)(65,82)(71,76)(72,86)(75,80)(78,84)(79,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22)(23,24,25,26)(27,28,29)
        (30,31,32,33)(34,35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,11)( 3, 8)( 5,18)( 6,29)( 7,15)( 9,22)(10,19)(12,17)(13,45)(14,23)(16,26)(20,37)(21,33)
        (24,41)(25,38)(27,32)(28,46)(30,36)(31,58)(34,49)(35,61)(39,53)(40,50)(42,48)(43,77)(44,54)(47,57)(51,69)
        (52,65)(55,73)(56,70)(59,64)(60,78)(62,68)(63,86)(66,72)(67,84)(71,81)(74,80)(75,88)(76,82)(79,85)(83,87),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10)(11,12,13,14)(15,16,17)(18,19,20,21)(22,23,24,25)(26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,16)(10,24)(11,21)(13,19)(14,51)(15,28)(17,32)(18,55)
        (22,43)(23,39)(26,31)(27,44)(29,47)(30,66)(33,38)(34,73)(35,58)(37,42)(40,61)(41,74)(45,65)(46,62)(48,54)
        (49,85)(50,67)(52,57)(53,72)(56,60)(59,69)(63,81)(64,77)(68,82)(70,76)(71,86)(75,80)(78,84)(79,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,12)( 3,27)( 4, 9)( 6,19)( 7,35)( 8,16)(10,23)(11,20)(13,18)(14,51)(15,28)(17,31)(21,43)
        (22,39)(24,30)(25,60)(26,44)(29,47)(32,38)(33,67)(34,52)(36,42)(37,70)(40,55)(41,73)(45,59)(46,56)(48,54)
        (49,85)(50,61)(53,63)(57,81)(58,77)(62,82)(64,69)(65,75)(66,86)(68,72)(71,76)(74,80)(78,84)(79,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,20)( 4, 9)( 6,12)( 7,27)( 8,14)(10,16)(11,31)(15,24)(17,23)(18,43)(19,35)(21,26)
        (22,47)(25,30)(28,34)(29,48)(32,38)(33,51)(36,39)(37,55)(40,46)(41,66)(42,59)(44,50)(45,70)(49,54)(52,58)
        (53,71)(56,62)(57,74)(60,63)(61,78)(64,69)(65,82)(67,73)(68,86)(72,77)(75,81)(76,87)(79,84)(80,88)(83,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,58)(16,28)(18,32)
        (22,44)(23,40)(26,31)(27,50)(29,54)(30,67)(33,39)(34,75)(35,59)(37,43)(38,78)(41,62)(42,82)(45,49)(46,63)
        (48,53)(51,66)(52,64)(55,61)(56,77)(57,70)(60,74)(65,86)(68,73)(69,87)(71,80)(72,84)(76,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(26,72)(27,56)(29,35)(30,75)(33,60)(34,79)(37,43)(38,81)(39,64)(41,47)(42,77)(45,67)
        (46,74)(49,55)(50,87)(51,68)(53,59)(54,88)(57,71)(58,70)(61,66)(62,83)(65,84)(69,86)(73,78)(76,82)(80,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,52)(12,22)(14,20)(15,64)(16,32)(18,36)
        (19,68)(23,48)(24,44)(26,31)(27,56)(29,35)(30,79)(33,60)(34,82)(37,43)(38,62)(39,71)(41,47)(42,84)(45,74)
        (46,81)(49,55)(50,87)(51,75)(53,59)(54,88)(57,78)(58,77)(61,67)(63,83)(65,70)(66,72)(69,73)(76,86)(80,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)
        (19,68)(23,48)(24,44)(26,32)(27,79)(28,56)(30,35)(31,82)(34,60)(37,43)(38,62)(39,71)(41,47)(42,84)(45,74)
        (46,81)(49,55)(50,87)(51,75)(53,59)(54,88)(57,78)(58,77)(61,67)(63,83)(65,70)(66,72)(69,73)(76,86)(80,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(31,64)(33,39)(34,82)(37,67)(38,74)(41,47)(42,87)(43,68)(45,51)
        (46,88)(49,71)(50,70)(53,59)(54,84)(55,72)(57,63)(58,80)(61,66)(62,77)(65,75)(69,86)(73,83)(76,81)(79,85),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,39)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,38)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,67)(27,55)(29,34)(32,59)(33,68)(36,42)(37,60)(40,46)(41,75)(44,50)(45,78)(48,54)
        (49,82)(52,58)(53,86)(56,63)(57,87)(61,77)(62,71)(64,70)(65,73)(66,84)(69,74)(72,80)(76,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,39)(11,21)(13,19)(14,51)(15,25)(17,28)(18,55)
        (22,36)(23,32)(26,47)(27,43)(30,35)(31,59)(33,63)(34,72)(37,42)(38,64)(40,46)(41,65)(44,67)(45,76)(48,54)
        (49,82)(50,68)(52,58)(53,86)(56,62)(57,87)(60,71)(61,84)(66,75)(69,79)(70,77)(73,78)(74,81)(80,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,19)( 6,31)( 7,16)( 9,23)(10,42)(11,20)(13,18)(14,54)(15,24)(17,27)(21,39)
        (22,35)(25,50)(26,46)(28,34)(29,70)(30,55)(32,38)(33,73)(36,58)(37,77)(40,45)(41,59)(43,49)(44,60)(47,62)
        (48,82)(51,57)(52,86)(53,63)(56,66)(61,81)(64,85)(65,83)(67,72)(68,75)(69,87)(71,76)(74,80)(78,84)(79,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,19)( 7,39)( 8,16)(10,23)(11,50)(12,20)(14,18)(15,31)(17,35)(21,47)
        (22,43)(24,30)(25,63)(26,54)(28,34)(29,66)(32,38)(33,70)(36,42)(37,74)(40,46)(41,77)(44,58)(45,81)(48,53)
        (49,59)(51,57)(52,60)(55,62)(56,86)(61,85)(64,69)(65,87)(67,73)(68,83)(71,76)(72,79)(75,80)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,47)(12,18)(15,32)(16,29)(19,43)(20,39)
        (22,28)(23,63)(24,51)(26,31)(27,67)(30,55)(33,38)(34,75)(35,56)(37,42)(40,46)(41,76)(44,50)(45,79)(48,54)
        (49,83)(52,59)(53,84)(57,71)(58,68)(60,66)(61,73)(62,81)(64,70)(65,88)(69,86)(72,78)(74,87)(77,82)(80,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,44)(24,40)(26,31)(27,51)(29,35)(30,71)(33,55)(34,74)(38,43)(39,63)(41,66)(42,82)(45,50)(46,85)
        (47,67)(49,54)(52,70)(53,86)(56,62)(57,84)(58,77)(61,65)(64,81)(68,78)(69,83)(72,76)(73,87)(75,80)(79,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,62)(23,44)(24,40)(26,31)(27,52)(29,35)(30,71)(33,55)(34,74)(38,43)(39,63)(41,66)(42,82)(45,51)(46,85)
        (47,67)(49,54)(50,86)(53,70)(56,61)(57,84)(58,77)(60,65)(64,81)(68,78)(69,83)(72,76)(73,87)(75,80)(79,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)
        (19,67)(23,48)(24,44)(26,32)(27,78)(28,55)(30,36)(31,79)(34,59)(35,76)(38,43)(39,85)(40,68)(42,47)(45,70)
        (46,86)(49,54)(50,82)(51,71)(53,58)(56,74)(57,83)(60,66)(61,72)(62,81)(64,69)(65,88)(73,87)(75,80)(77,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,41)( 8,17)(10,25)(11,49)(12,22)(14,20)(15,60)(16,33)(18,37)
        (19,64)(23,48)(24,44)(26,32)(27,75)(28,52)(30,36)(31,76)(34,56)(35,73)(38,43)(39,82)(40,65)(42,47)(45,67)
        (46,83)(50,55)(51,68)(53,71)(54,80)(57,63)(58,87)(59,78)(61,66)(62,85)(69,79)(70,86)(72,77)(74,81)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,29)( 7,16)( 9,24)(10,40)(11,21)(13,19)(14,51)(15,25)(17,28)(18,54)
        (22,36)(23,32)(26,47)(27,44)(30,35)(31,58)(33,62)(34,71)(37,43)(38,77)(39,63)(41,46)(42,78)(45,66)(48,53)
        (49,85)(50,67)(52,57)(55,61)(56,86)(59,70)(60,87)(64,74)(65,72)(68,81)(69,79)(73,83)(75,80)(76,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,43)(23,40)(25,31)(26,65)(27,51)(29,35)(30,69)(33,55)(34,73)(38,42)(39,60)(41,57)(44,50)(45,74)(46,58)
        (48,54)(49,77)(52,62)(53,81)(56,61)(63,68)(64,82)(66,72)(67,86)(70,76)(71,87)(75,80)(78,84)(79,88)(83,85),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)(62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(26,71)(27,54)(29,35)(30,74)(33,58)(34,77)(37,42)(38,69)(39,63)(41,45)(44,66)(47,53)
        (48,60)(49,67)(51,57)(52,82)(55,70)(56,85)(59,65)(61,81)(64,68)(72,76)(73,86)(75,80)(78,84)(79,87)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,44)(12,21)(14,19)(15,42)(16,32)(18,36)
        (22,40)(23,38)(25,31)(26,56)(27,48)(29,35)(30,60)(33,46)(34,64)(39,43)(41,47)(45,51)(49,52)(50,65)(53,59)
        (54,75)(55,68)(57,63)(58,78)(61,67)(62,82)(66,71)(69,72)(70,83)(73,77)(74,86)(76,81)(79,85)(80,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70,71)(72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,37)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,59)(16,32)(18,36)
        (19,60)(23,44)(24,40)(26,31)(27,51)(29,35)(30,71)(33,55)(34,74)(38,43)(39,63)(41,67)(42,79)(45,50)(46,86)
        (47,68)(49,54)(52,70)(53,87)(56,62)(57,65)(58,75)(61,66)(64,78)(69,82)(72,77)(73,84)(76,81)(80,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,48)(12,22)(14,20)(15,55)(16,30)(18,32)
        (19,59)(23,44)(24,40)(26,31)(27,58)(28,51)(33,39)(34,74)(35,60)(37,43)(38,75)(41,63)(42,78)(45,50)(46,86)
        (47,64)(49,54)(52,66)(53,87)(56,62)(57,67)(61,70)(65,82)(68,73)(69,84)(71,77)(72,80)(76,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(24,41)(26,32)(27,65)(28,52)(30,36)(31,68)(34,56)(35,72)(39,43)(40,62)(42,58)(45,51)(46,73)
        (47,59)(49,55)(50,76)(53,64)(54,80)(57,63)(66,71)(67,83)(69,75)(70,87)(74,79)(77,82)(78,88)(81,85)(84,86),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66,67)(68,69,70,71)(72,73,74,75)(76,77,78,79)(80,81,82)(83,84,85)(86,87,88) ), 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)(26,61)(27,48)(29,35)(30,64)(33,52)(34,68)(38,43)(39,58)(41,47)(42,54)(45,51)(46,73)
        (49,60)(50,76)(53,59)(55,72)(62,67)(63,80)(65,71)(66,84)(69,75)(70,86)(74,79)(77,82)(78,87)(81,83)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70,71)(72,73,74,75)(76,77,78,79)(80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,57)(16,29)(18,33)
        (19,60)(23,41)(24,37)(27,32)(28,49)(30,53)(31,71)(35,40)(36,63)(38,67)(39,78)(42,48)(43,85)(44,68)(46,52)
        (47,86)(50,70)(51,87)(54,59)(55,65)(56,74)(58,62)(61,66)(64,77)(69,81)(72,76)(73,83)(75,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59)
        (60,61,62)(63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)
        (22,44)(23,40)(26,31)(27,51)(29,55)(30,67)(33,39)(34,73)(35,60)(37,43)(38,74)(41,62)(42,77)(45,50)(46,63)
        (48,54)(49,86)(52,66)(53,87)(56,61)(57,76)(58,70)(64,85)(65,81)(68,72)(69,83)(71,79)(75,80)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(26,69)(27,51)(30,55)(33,39)(34,73)(35,60)(37,43)(38,74)(41,62)(42,77)(45,50)(46,63)
        (48,54)(49,86)(52,66)(53,87)(56,61)(57,76)(58,70)(64,85)(65,81)(67,72)(68,83)(71,79)(75,80)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(30,73)(31,60)(33,39)(34,77)(37,63)(38,78)(41,47)(42,85)(43,64)(45,51)
        (46,86)(49,66)(50,87)(53,59)(54,72)(55,67)(58,62)(61,70)(65,81)(68,75)(69,83)(71,76)(74,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(30,73)(31,59)(33,39)(34,77)(37,62)(38,78)(41,46)(42,63)(44,50)(45,86)
        (48,66)(49,87)(52,57)(53,72)(54,67)(56,61)(60,70)(64,85)(65,81)(68,75)(69,83)(71,76)(74,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(18,58)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,74)(31,61)(33,39)(34,77)(37,65)(38,78)(41,46)(42,86)(43,66)(45,50)
        (48,69)(49,87)(52,57)(53,63)(54,70)(56,60)(59,64)(62,73)(67,85)(68,81)(71,76)(72,83)(75,80)(79,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57)(58,59,60)(61,62,63,64)
        (65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(33,70)(36,62)(37,73)(40,46)(41,81)(42,63)(44,50)(45,82)
        (48,65)(49,83)(53,58)(54,66)(56,61)(57,86)(60,69)(64,77)(67,85)(68,79)(71,76)(72,87)(74,80)(75,88)(78,84),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), 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)(37,73)(40,45)(41,63)(43,49)(44,82)(47,66)
        (48,83)(52,57)(53,67)(55,61)(56,86)(59,70)(60,87)(64,81)(65,77)(68,85)(69,79)(72,76)(74,80)(75,88)(78,84),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,44)(11,21)(13,19)(14,52)(15,25)(17,28)(18,55)
        (22,40)(23,36)(26,51)(27,47)(29,35)(30,71)(31,56)(33,39)(34,74)(37,59)(38,77)(41,46)(42,86)(43,60)(45,50)
        (48,63)(49,87)(53,58)(54,64)(57,67)(61,85)(62,81)(65,70)(66,83)(68,73)(69,79)(72,76)(75,80)(78,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,40)( 8,17)(10,24)(11,51)(12,21)(14,19)(15,39)(16,32)(18,36)
        (22,47)(23,43)(25,31)(26,67)(27,55)(29,35)(30,70)(33,59)(34,74)(37,42)(38,60)(41,46)(44,50)(45,61)(48,54)
        (49,79)(52,58)(53,82)(56,63)(57,85)(62,78)(64,69)(65,72)(66,86)(68,73)(71,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(26,75)(27,55)(29,35)(30,76)(33,59)(34,73)(37,42)(38,83)(39,64)(41,46)(44,67)(45,84)
        (48,54)(49,79)(50,68)(52,58)(53,86)(56,71)(57,87)(60,66)(61,69)(62,78)(65,82)(70,85)(72,77)(74,81)(80,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,35)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,55)(16,29)(18,32)
        (19,59)(23,43)(24,39)(27,31)(28,47)(30,51)(33,38)(34,62)(36,42)(37,71)(40,66)(41,72)(45,50)(46,67)(48,54)
        (49,79)(52,58)(53,82)(56,61)(57,85)(60,65)(63,70)(64,86)(68,78)(69,74)(73,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,25)(11,44)(12,22)(14,20)(15,55)(16,29)(18,32)
        (19,59)(23,43)(24,39)(26,31)(27,47)(30,51)(33,38)(34,71)(35,62)(37,42)(40,66)(41,72)(45,50)(46,67)(48,54)
        (49,79)(52,58)(53,82)(56,61)(57,85)(60,65)(63,70)(64,86)(68,78)(69,74)(73,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,17)( 7,36)( 8,14)(10,21)(11,48)(12,18)(15,32)(16,28)(19,44)(20,40)
        (22,27)(23,63)(24,49)(26,31)(29,52)(30,64)(33,39)(34,75)(35,53)(37,43)(38,76)(41,56)(42,73)(45,51)(46,85)
        (47,57)(50,60)(54,71)(55,67)(58,82)(59,78)(61,66)(62,86)(65,70)(68,80)(69,87)(72,77)(74,81)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,61)(16,31)(18,35)
        (22,46)(23,42)(25,30)(26,54)(28,34)(29,70)(32,57)(33,73)(36,41)(37,62)(39,45)(40,82)(43,65)(44,83)(47,53)
        (48,78)(49,66)(51,56)(52,85)(55,69)(58,64)(59,67)(60,77)(63,81)(68,84)(71,76)(72,86)(74,80)(75,87)(79,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,34)( 8,17)(10,25)(11,45)(12,22)(14,20)(15,56)(16,29)(18,33)
        (19,57)(23,41)(24,37)(27,32)(28,48)(30,52)(31,68)(35,40)(36,60)(38,64)(39,72)(42,47)(43,78)(44,65)(46,51)
        (49,67)(50,79)(53,59)(54,85)(55,69)(58,63)(61,71)(62,86)(66,74)(70,82)(73,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)
        (60,61,62,63)(64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,55)(16,33)(18,37)
        (19,56)(23,43)(24,40)(26,32)(27,63)(28,51)(30,36)(31,67)(34,45)(35,71)(39,42)(41,57)(44,50)(46,58)(48,54)
        (49,72)(52,59)(53,75)(60,66)(61,83)(62,79)(64,70)(65,84)(68,74)(69,86)(73,78)(76,81)(77,87)(80,82)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)
        (59,60,61,62)(63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,40)( 8,17)(10,25)(11,51)(12,22)(14,20)(15,63)(16,32)(18,36)
        (19,67)(23,47)(24,43)(26,31)(27,34)(28,55)(30,35)(33,59)(37,42)(38,74)(39,68)(41,46)(44,70)(45,75)(48,54)
        (49,86)(50,71)(52,58)(53,87)(56,62)(57,84)(60,66)(61,80)(64,69)(65,77)(72,82)(73,78)(76,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)
        (19,64)(23,44)(24,40)(26,31)(27,34)(28,52)(30,35)(33,56)(38,43)(39,67)(41,70)(42,75)(45,51)(46,83)(47,71)
        (49,55)(50,84)(53,59)(54,86)(57,63)(58,80)(61,66)(62,77)(65,69)(68,74)(72,82)(73,78)(76,81)(79,87)(85,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(16,31)(18,35)
        (22,47)(23,43)(25,30)(26,33)(27,55)(29,34)(32,59)(36,42)(37,75)(38,64)(40,46)(41,76)(44,67)(45,73)(48,54)
        (49,83)(50,68)(52,58)(53,85)(56,62)(57,86)(60,66)(61,80)(65,71)(69,82)(70,78)(72,77)(74,81)(79,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(29,68)(30,56)(32,38)(33,70)(36,59)(37,74)(40,46)(41,86)(42,60)(44,50)(45,87)
        (48,63)(49,84)(52,58)(53,72)(54,64)(57,67)(61,82)(62,78)(65,76)(66,80)(69,73)(71,77)(75,81)(79,85)(83,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(18,56)
        (22,39)(23,35)(26,51)(27,47)(29,34)(30,59)(32,38)(33,71)(36,62)(37,74)(40,46)(41,83)(42,63)(44,50)(45,84)
        (48,66)(49,86)(52,58)(53,73)(54,67)(57,61)(60,70)(64,82)(65,78)(68,76)(69,80)(72,77)(75,81)(79,87)(85,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(58,86)(59,77)(61,66)(62,69)(63,87)(65,70)(68,74)(72,78)(73,88)(76,82)(80,85),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,40)(11,17)(14,24)(15,21)(18,36)(19,32)(22,48)
        (23,44)(25,31)(26,63)(27,49)(29,35)(30,66)(33,52)(34,70)(37,43)(38,79)(39,53)(41,47)(42,80)(45,56)(46,82)
        (50,60)(51,57)(54,78)(55,74)(58,85)(59,76)(61,65)(62,86)(64,69)(67,73)(68,87)(71,77)(72,88)(75,83)(81,84),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(34,70)(37,43)(38,79)(39,53)(41,47)(42,81)(45,56)(46,82)
        (50,60)(51,57)(54,78)(55,74)(58,85)(59,76)(61,66)(62,86)(64,69)(65,87)(68,73)(71,77)(72,88)(75,83)(80,84),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62)
        (63,64,65,66)(67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,48)(12,21)(14,19)(15,60)(16,32)(18,36)
        (22,44)(23,40)(25,31)(26,72)(27,52)(29,35)(30,73)(33,56)(34,70)(38,43)(39,61)(41,64)(42,80)(45,51)(46,85)
        (47,65)(49,55)(50,86)(53,68)(54,87)(57,63)(58,83)(59,75)(62,79)(66,76)(67,82)(69,74)(71,78)(77,88)(81,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70,71)(72,73,74)(75,76,77,78)(79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,20)( 7,37)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,59)(16,32)(18,36)
        (22,44)(23,40)(25,31)(26,71)(27,51)(29,35)(30,72)(33,55)(34,69)(38,43)(39,60)(41,63)(42,79)(45,50)(46,64)
        (48,54)(49,86)(52,67)(53,87)(56,62)(57,83)(58,74)(61,78)(65,85)(66,81)(68,73)(70,77)(75,82)(76,88)(80,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73)(74,75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,38)( 8,17)(10,24)(11,50)(12,21)(14,19)(15,62)(16,31)(18,35)
        (22,46)(23,42)(25,30)(26,54)(28,34)(29,71)(32,58)(33,72)(36,41)(37,63)(39,45)(40,79)(43,66)(44,80)(47,53)
        (48,85)(49,67)(51,57)(52,86)(55,70)(56,87)(59,65)(60,83)(61,74)(64,78)(68,75)(69,82)(73,77)(76,88)(81,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37)(38,39,40,41)(42,43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,20)( 6,32)( 7,16)( 9,24)(10,43)(11,21)(13,19)(14,54)(15,25)(17,28)(18,55)
        (22,39)(23,35)(26,50)(27,46)(29,34)(30,70)(31,58)(33,38)(36,62)(37,71)(40,45)(41,78)(42,63)(44,49)(47,66)
        (48,79)(51,57)(52,85)(53,67)(56,61)(59,69)(60,86)(64,77)(65,73)(68,81)(72,76)(74,83)(75,87)(80,84)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45)(46,47,48,49)(50,51,52,53)(54,55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,26)( 4, 9)( 6,21)( 7,33)( 8,17)(10,25)(11,43)(12,22)(14,20)(15,51)(16,27)(18,29)
        (19,55)(23,40)(24,36)(28,47)(30,35)(31,69)(32,59)(34,39)(37,62)(38,70)(41,46)(42,63)(44,50)(45,78)(48,54)
        (49,81)(52,58)(53,82)(56,61)(57,85)(60,66)(64,77)(65,73)(67,72)(68,86)(71,76)(74,80)(75,87)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,22)( 4, 9)( 6,17)( 7,32)( 8,14)(10,21)(11,44)(12,18)(15,29)(16,25)(19,40)(20,36)
        (23,28)(24,48)(26,52)(27,61)(30,35)(31,53)(33,39)(34,69)(37,56)(38,71)(41,47)(42,82)(43,57)(45,51)(46,83)
        (49,60)(50,84)(54,68)(55,64)(58,78)(59,75)(62,67)(63,80)(65,73)(66,88)(70,74)(72,77)(76,86)(79,85)(81,87),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)(29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50,51)(52,53,54,55)(56,57,58,59)(60,61,62,63)
        (64,65,66,67)(68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,16)( 6,28)( 7,13)( 9,20)(10,39)(11,17)(14,24)(15,21)(18,36)(19,32)(22,47)
        (23,43)(25,31)(26,60)(27,48)(29,35)(30,63)(33,51)(34,66)(37,42)(38,52)(40,46)(41,75)(44,55)(45,76)(49,59)
        (50,56)(53,74)(54,70)(57,82)(58,78)(61,65)(62,83)(64,69)(67,73)(68,84)(71,80)(72,88)(77,81)(79,86)(85,87),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(22,47)
        (23,43)(25,31)(26,62)(27,48)(29,35)(30,63)(33,51)(34,66)(37,42)(38,75)(39,52)(41,46)(44,55)(45,76)(49,59)
        (50,56)(53,74)(54,70)(57,82)(58,78)(60,65)(61,83)(64,69)(67,73)(68,84)(71,80)(72,88)(77,81)(79,86)(85,87),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), 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)(27,71)(28,53)(30,36)(31,74)(34,57)(35,78)(39,44)(40,66)(42,59)(43,63)(46,52)
        (47,79)(48,60)(50,56)(51,82)(54,68)(55,85)(58,64)(62,67)(69,73)(70,86)(72,77)(75,81)(76,87)(80,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55,56)(57,58,59,60)
        (61,62,63,64)(65,66,67)(68,69,70)(71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,27)( 4, 9)( 6,20)( 7,36)( 8,17)(10,24)(11,47)(12,21)(14,19)(15,55)(16,31)(18,35)
        (22,43)(23,39)(25,30)(26,48)(28,34)(29,64)(32,51)(33,67)(37,42)(38,56)(40,59)(41,76)(44,50)(45,85)(46,60)
        (49,63)(52,58)(53,80)(54,71)(57,75)(61,82)(62,78)(65,70)(66,86)(68,74)(69,87)(72,79)(73,84)(77,81)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,29)( 4, 9)( 6,21)( 7,38)( 8,17)(10,25)(11,47)(12,22)(14,20)(15,55)(16,33)(18,37)
        (19,56)(23,43)(24,40)(26,32)(27,62)(28,51)(30,36)(31,66)(34,45)(35,70)(39,42)(41,57)(44,50)(46,58)(48,54)
        (49,71)(52,59)(53,74)(60,65)(61,78)(63,69)(64,83)(67,73)(68,85)(72,77)(75,81)(76,86)(79,82)(80,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39)(40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), 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)(61,78)(62,71)(64,70)(65,82)(69,74)(72,75)(73,83)(76,81)(77,86)(79,85)(80,87)(84,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80,81)(82,83,84,85)(86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,28)( 4, 9)( 6,21)( 7,36)( 8,17)(10,24)(11,44)(12,22)(14,20)(15,55)(16,29)(18,32)
        (19,59)(23,40)(25,31)(26,54)(27,47)(30,51)(33,39)(34,75)(35,63)(37,43)(38,78)(41,46)(42,81)(45,50)(48,67)
        (49,82)(52,58)(53,68)(56,62)(57,85)(60,66)(61,86)(64,71)(65,87)(69,88)(70,74)(72,77)(73,83)(76,80)(79,84),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77)(78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,28)( 7,16)( 9,20)(10,32)(13,19)(14,44)(15,21)(17,24)(18,47)(22,40)
        (23,36)(25,31)(26,63)(27,51)(29,35)(30,67)(33,39)(34,68)(37,55)(38,71)(41,46)(42,83)(43,56)(45,50)(48,54)
        (49,84)(52,59)(53,81)(57,79)(58,75)(60,66)(61,77)(62,86)(64,70)(65,73)(69,74)(72,78)(76,87)(80,85)(82,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ), 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)(26,62)(27,51)(29,35)(30,63)(33,39)(34,66)(37,55)(38,70)(41,47)(42,74)(43,56)(45,50)(46,78)
        (49,54)(52,58)(53,79)(57,71)(59,65)(60,86)(61,82)(64,69)(67,73)(68,87)(72,77)(75,81)(76,88)(80,84)(83,85),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14,15)(16,17,18,19)(20,21,22,23)(24,25,26,27)(28,29,30,31)
        (32,33,34,35)(36,37,38,39)(40,41,42,43)(44,45,46,47)(48,49,50)(51,52,53,54)(55,56,57)(58,59,60,61)
        (62,63,64,65)(66,67,68,69)(70,71,72,73)(74,75,76,77)(78,79,80,81)(82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 5)( 2,13)( 3,25)( 4, 9)( 6,12)( 7,37)( 8,17)(10,21)(11,38)(14,20)(15,49)(16,29)(18,33)(19,53)
        (22,28)(23,62)(24,41)(26,32)(27,65)(30,45)(31,69)(34,40)(35,77)(36,56)(39,44)(42,59)(43,78)(46,52)(47,86)
        (48,70)(50,55)(51,76)(54,58)(57,73)(60,64)(61,81)(63,68)(66,72)(67,82)(71,85)(74,80)(75,87)(79,84)(83,88),
      nbP := 88,
      next := ( 1, 2, 3, 4)( 5, 6, 7, 8)( 9,10,11,12)(13,14,15,16)(17,18,19,20)(21,22,23,24)(25,26,27,28)
        (29,30,31,32)(33,34,35,36)(37,38,39,40)(41,42,43,44)(45,46,47,48)(49,50,51,52)(53,54,55)(56,57,58)(59,60,61)
        (62,63,64)(65,66,67,68)(69,70,71,72)(73,74,75,76)(77,78,79,80)(81,82,83,84)(85,86,87,88) ), rec(
      invers := ( 1, 4)( 2,12)( 3, 8)( 5,11)( 6,27)( 7,15)( 9,19)(10,28)(13,18)(14,20)(16,23)(17,36)(21,35)(22,31)
        (24,30)(25,51)(26,39)(29,34)(32,43)(33,52)(37,42)(38,44)(40,47)(41,60)(45,59)(46,55)(48,54)(49,75)(50,63)
        (53,58)(56,67)(57,76)(61,66)(62,68)(64,71)(65,84)(69,83)(70,79)(72,78)(73,81)(74,86)(77,82)(80,87)(85,88),
      nbP := 88,
      next := ( 1, 2, 3)( 4, 5, 6, 7)( 8, 9,10,11)(12,13,14)(15,16,17,18)(19,20,21,22)(23,24,25,26)(27,28,29,30)
        (31,32,33,34)(35,36,37,38)(39,40,41,42)(43,44,45,46)(47,48,49,50)(51,52,53,54)(55,56,57,58)(59,60,61,62)
        (63,64,65,66)(67,68,69,70)(71,72,73,74)(75,76,77,78)(79,80,81,82)(83,84,85)(86,87,88) ) ];
