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