g := PGammaU(3,5);
invols := 
[ 
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 2)(3, 48)(4, 118)(5, 104)(6, 36)(7, 87)(8, 81)(9, 59)(10, 123)(11, 67)(12, 
    33)(13, 98)(14, 35)(15, 78)(16, 94)(17, 39)(18, 125)(19, 63)(20, 21)(22, 
    54)(23, 49)(24, 53)(25, 116)(26, 113)(27, 31)(28, 124)(29, 90)(30, 64)(32, 
    119)(37, 80)(38, 115)(40, 85)(41, 65)(42, 55)(43, 47)(44, 102)(45, 103)(46, 
    121)(50, 95)(51, 72)(56, 66)(58, 82)(60, 99)(61, 126)(62, 97)(68, 79)(69, 
    71)(70, 101)(74, 75)(76, 83)(77, 93)(86, 109)(88, 92)(89, 105)(91, 100)(96, 
    117)(106, 122)(107, 120)(108, 112)(110, 111)
,
(1, 91)(2, 87)(3, 18)(4, 12)(5, 97)(6, 35)(7, 80)(8, 54)(9, 31)(10, 72)(11, 
    69)(13, 92)(14, 100)(15, 57)(16, 118)(17, 111)(19, 52)(20, 84)(21, 51)(22, 
    124)(23, 76)(24, 49)(25, 112)(26, 94)(27, 101)(28, 46)(29, 107)(30, 58)(32, 
    60)(33, 53)(34, 79)(36, 123)(37, 45)(38, 66)(39, 90)(40, 74)(41, 81)(42, 
    70)(43, 47)(44, 105)(48, 55)(56, 110)(59, 104)(61, 122)(62, 99)(63, 113)(64,
    109)(65, 108)(67, 126)(68, 73)(71, 121)(75, 114)(77, 88)(78, 103)(82, 
    115)(83, 117)(85, 96)(86, 93)(89, 119)(95, 116)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 2)(3, 48)(4, 118)(5, 104)(6, 36)(7, 87)(8, 81)(9, 59)(10, 123)(11, 67)(12, 
    33)(13, 98)(14, 35)(15, 78)(16, 94)(17, 39)(18, 125)(19, 63)(20, 21)(22, 
    54)(23, 49)(24, 53)(25, 116)(26, 113)(27, 31)(28, 124)(29, 90)(30, 64)(32, 
    119)(37, 80)(38, 115)(40, 85)(41, 65)(42, 55)(43, 47)(44, 102)(45, 103)(46, 
    121)(50, 95)(51, 72)(56, 66)(58, 82)(60, 99)(61, 126)(62, 97)(68, 79)(69, 
    71)(70, 101)(74, 75)(76, 83)(77, 93)(86, 109)(88, 92)(89, 105)(91, 100)(96, 
    117)(106, 122)(107, 120)(108, 112)(110, 111)
,
(1, 16)(2, 28)(3, 49)(4, 62)(5, 99)(6, 10)(7, 8)(9, 37)(11, 120)(12, 73)(13, 
    63)(14, 52)(15, 57)(17, 111)(18, 82)(19, 30)(20, 21)(22, 112)(23, 56)(24, 
    75)(25, 126)(26, 102)(27, 115)(29, 114)(31, 74)(32, 104)(33, 93)(34, 90)(35,
    117)(36, 55)(38, 72)(39, 66)(41, 87)(42, 76)(43, 48)(44, 61)(46, 103)(47, 
    108)(51, 77)(53, 119)(54, 96)(58, 80)(59, 81)(60, 78)(64, 122)(65, 92)(68, 
    95)(69, 94)(70, 86)(71, 97)(79, 83)(84, 105)(85, 100)(88, 109)(89, 110)(91, 
    106)(98, 118)(101, 107)(113, 123)(116, 121)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 2)(3, 48)(4, 118)(5, 104)(6, 36)(7, 87)(8, 81)(9, 59)(10, 123)(11, 67)(12, 
    33)(13, 98)(14, 35)(15, 78)(16, 94)(17, 39)(18, 125)(19, 63)(20, 21)(22, 
    54)(23, 49)(24, 53)(25, 116)(26, 113)(27, 31)(28, 124)(29, 90)(30, 64)(32, 
    119)(37, 80)(38, 115)(40, 85)(41, 65)(42, 55)(43, 47)(44, 102)(45, 103)(46, 
    121)(50, 95)(51, 72)(56, 66)(58, 82)(60, 99)(61, 126)(62, 97)(68, 79)(69, 
    71)(70, 101)(74, 75)(76, 83)(77, 93)(86, 109)(88, 92)(89, 105)(91, 100)(96, 
    117)(106, 122)(107, 120)(108, 112)(110, 111)
,
(1, 69)(2, 26)(3, 64)(4, 72)(5, 102)(6, 53)(7, 76)(8, 13)(9, 45)(10, 30)(11, 
    95)(12, 28)(14, 43)(15, 86)(16, 125)(17, 109)(18, 118)(19, 44)(20, 117)(21, 
    101)(22, 75)(23, 78)(24, 115)(25, 27)(29, 68)(32, 97)(33, 92)(34, 42)(35, 
    60)(36, 56)(39, 122)(40, 74)(41, 66)(46, 81)(47, 62)(48, 61)(49, 65)(50, 
    94)(51, 96)(52, 119)(54, 90)(55, 107)(57, 89)(58, 100)(59, 126)(63, 77)(67, 
    80)(70, 84)(71, 91)(73, 98)(82, 99)(83, 116)(85, 124)(87, 93)(88, 110)(103, 
    112)(104, 120)(105, 111)(106, 114)(121, 123)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 2)(3, 48)(4, 118)(5, 104)(6, 36)(7, 87)(8, 81)(9, 59)(10, 123)(11, 67)(12, 
    33)(13, 98)(14, 35)(15, 78)(16, 94)(17, 39)(18, 125)(19, 63)(20, 21)(22, 
    54)(23, 49)(24, 53)(25, 116)(26, 113)(27, 31)(28, 124)(29, 90)(30, 64)(32, 
    119)(37, 80)(38, 115)(40, 85)(41, 65)(42, 55)(43, 47)(44, 102)(45, 103)(46, 
    121)(50, 95)(51, 72)(56, 66)(58, 82)(60, 99)(61, 126)(62, 97)(68, 79)(69, 
    71)(70, 101)(74, 75)(76, 83)(77, 93)(86, 109)(88, 92)(89, 105)(91, 100)(96, 
    117)(106, 122)(107, 120)(108, 112)(110, 111)
,
(1, 49)(2, 87)(3, 18)(4, 27)(5, 48)(6, 73)(7, 66)(8, 25)(9, 74)(10, 104)(11, 
    81)(12, 101)(14, 84)(15, 33)(16, 116)(17, 122)(19, 52)(20, 100)(21, 76)(22, 
    107)(23, 51)(24, 91)(26, 71)(28, 70)(29, 124)(30, 110)(31, 40)(32, 67)(34, 
    44)(35, 68)(36, 64)(38, 80)(41, 69)(42, 46)(43, 114)(47, 75)(50, 102)(53, 
    57)(54, 112)(55, 97)(56, 58)(59, 72)(60, 126)(61, 111)(62, 103)(63, 119)(65,
    96)(77, 115)(78, 99)(79, 105)(82, 88)(83, 86)(85, 108)(89, 113)(93, 117)(94,
    121)(95, 118)(98, 125)(106, 120)(109, 123)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 2)(3, 48)(4, 118)(5, 104)(6, 36)(7, 87)(8, 81)(9, 59)(10, 123)(11, 67)(12, 
    33)(13, 98)(14, 35)(15, 78)(16, 94)(17, 39)(18, 125)(19, 63)(20, 21)(22, 
    54)(23, 49)(24, 53)(25, 116)(26, 113)(27, 31)(28, 124)(29, 90)(30, 64)(32, 
    119)(37, 80)(38, 115)(40, 85)(41, 65)(42, 55)(43, 47)(44, 102)(45, 103)(46, 
    121)(50, 95)(51, 72)(56, 66)(58, 82)(60, 99)(61, 126)(62, 97)(68, 79)(69, 
    71)(70, 101)(74, 75)(76, 83)(77, 93)(86, 109)(88, 92)(89, 105)(91, 100)(96, 
    117)(106, 122)(107, 120)(108, 112)(110, 111)
,
(1, 46)(2, 52)(3, 87)(4, 108)(5, 82)(6, 49)(7, 78)(8, 71)(9, 40)(10, 98)(11, 
    97)(12, 53)(13, 56)(14, 39)(15, 27)(16, 25)(17, 103)(18, 19)(20, 90)(22, 
    105)(24, 70)(26, 118)(28, 73)(29, 34)(30, 92)(31, 37)(32, 63)(33, 65)(35, 
    42)(36, 60)(38, 62)(41, 48)(43, 102)(44, 93)(45, 74)(50, 75)(51, 120)(54, 
    95)(55, 77)(57, 85)(58, 110)(59, 125)(61, 99)(64, 119)(66, 122)(67, 109)(68,
    91)(69, 115)(76, 106)(79, 83)(80, 111)(81, 88)(84, 100)(86, 124)(89, 
    126)(94, 112)(96, 101)(107, 117)(113, 123)(116, 121)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 2)(3, 48)(4, 118)(5, 104)(6, 36)(7, 87)(8, 81)(9, 59)(10, 123)(11, 67)(12, 
    33)(13, 98)(14, 35)(15, 78)(16, 94)(17, 39)(18, 125)(19, 63)(20, 21)(22, 
    54)(23, 49)(24, 53)(25, 116)(26, 113)(27, 31)(28, 124)(29, 90)(30, 64)(32, 
    119)(37, 80)(38, 115)(40, 85)(41, 65)(42, 55)(43, 47)(44, 102)(45, 103)(46, 
    121)(50, 95)(51, 72)(56, 66)(58, 82)(60, 99)(61, 126)(62, 97)(68, 79)(69, 
    71)(70, 101)(74, 75)(76, 83)(77, 93)(86, 109)(88, 92)(89, 105)(91, 100)(96, 
    117)(106, 122)(107, 120)(108, 112)(110, 111)
,
(1, 70)(2, 116)(3, 83)(4, 21)(5, 67)(6, 126)(7, 96)(8, 12)(9, 31)(10, 29)(11, 
    85)(13, 111)(14, 109)(15, 97)(16, 49)(17, 68)(18, 121)(19, 113)(20, 59)(22, 
    48)(23, 62)(25, 92)(26, 93)(27, 77)(28, 89)(30, 86)(32, 43)(33, 34)(35, 
    50)(36, 53)(37, 40)(38, 76)(39, 112)(41, 94)(42, 103)(44, 119)(46, 58)(47, 
    106)(51, 108)(52, 79)(54, 99)(55, 125)(56, 75)(57, 90)(60, 65)(61, 117)(63, 
    122)(64, 118)(66, 107)(69, 88)(71, 98)(72, 120)(73, 124)(78, 104)(80, 
    91)(82, 105)(87, 123)(95, 102)(100, 115)(101, 114)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 61)(2, 32)(3, 62)(4, 22)(5, 70)(6, 111)(7, 80)(8, 47)(9, 10)(11, 42)(12, 
    113)(13, 34)(14, 68)(15, 117)(16, 73)(17, 90)(18, 88)(19, 86)(21, 27)(23, 
    37)(24, 119)(25, 106)(26, 122)(28, 53)(29, 121)(30, 69)(31, 103)(33, 36)(35,
    76)(38, 102)(39, 85)(40, 52)(41, 78)(44, 54)(45, 71)(46, 59)(48, 81)(49, 
    124)(50, 66)(51, 108)(55, 115)(56, 77)(57, 72)(58, 104)(60, 120)(63, 
    118)(64, 99)(65, 84)(74, 109)(75, 98)(79, 125)(82, 83)(87, 114)(89, 100)(92,
    112)(93, 110)(94, 116)(96, 107)(97, 123)(105, 126)
,
(1, 47)(2, 25)(3, 124)(4, 84)(6, 92)(7, 105)(8, 32)(9, 45)(10, 20)(11, 65)(12, 
    77)(14, 63)(15, 76)(16, 104)(17, 51)(18, 112)(19, 126)(21, 50)(22, 52)(23, 
    125)(24, 79)(26, 80)(27, 119)(28, 71)(29, 54)(30, 34)(31, 37)(33, 102)(35, 
    68)(36, 49)(38, 70)(39, 48)(41, 117)(42, 99)(43, 56)(44, 103)(46, 123)(53, 
    61)(55, 97)(57, 106)(58, 121)(59, 93)(60, 107)(62, 110)(64, 75)(66, 91)(67, 
    87)(69, 72)(78, 109)(81, 113)(82, 95)(83, 115)(85, 118)(86, 101)(88, 
    108)(89, 96)(94, 114)(98, 122)(100, 116)(111, 120)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 61)(2, 32)(3, 62)(4, 22)(5, 70)(6, 111)(7, 80)(8, 47)(9, 10)(11, 42)(12, 
    113)(13, 34)(14, 68)(15, 117)(16, 73)(17, 90)(18, 88)(19, 86)(21, 27)(23, 
    37)(24, 119)(25, 106)(26, 122)(28, 53)(29, 121)(30, 69)(31, 103)(33, 36)(35,
    76)(38, 102)(39, 85)(40, 52)(41, 78)(44, 54)(45, 71)(46, 59)(48, 81)(49, 
    124)(50, 66)(51, 108)(55, 115)(56, 77)(57, 72)(58, 104)(60, 120)(63, 
    118)(64, 99)(65, 84)(74, 109)(75, 98)(79, 125)(82, 83)(87, 114)(89, 100)(92,
    112)(93, 110)(94, 116)(96, 107)(97, 123)(105, 126)
,
(1, 3)(2, 110)(4, 56)(5, 96)(6, 114)(7, 73)(8, 54)(9, 40)(10, 25)(11, 38)(12, 
    124)(13, 64)(14, 83)(15, 34)(16, 86)(17, 63)(18, 84)(19, 70)(20, 62)(21, 
    81)(22, 66)(23, 24)(26, 68)(27, 85)(28, 121)(29, 107)(30, 123)(32, 60)(33, 
    102)(35, 44)(36, 125)(37, 74)(39, 101)(41, 113)(42, 72)(43, 112)(46, 76)(47,
    77)(48, 104)(49, 79)(50, 117)(51, 115)(52, 88)(53, 61)(55, 119)(57, 71)(58, 
    106)(65, 126)(67, 99)(69, 87)(78, 92)(80, 103)(82, 116)(90, 93)(91, 108)(94,
    109)(95, 111)(97, 118)(98, 122)(100, 120)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 61)(2, 32)(3, 62)(4, 22)(5, 70)(6, 111)(7, 80)(8, 47)(9, 10)(11, 42)(12, 
    113)(13, 34)(14, 68)(15, 117)(16, 73)(17, 90)(18, 88)(19, 86)(21, 27)(23, 
    37)(24, 119)(25, 106)(26, 122)(28, 53)(29, 121)(30, 69)(31, 103)(33, 36)(35,
    76)(38, 102)(39, 85)(40, 52)(41, 78)(44, 54)(45, 71)(46, 59)(48, 81)(49, 
    124)(50, 66)(51, 108)(55, 115)(56, 77)(57, 72)(58, 104)(60, 120)(63, 
    118)(64, 99)(65, 84)(74, 109)(75, 98)(79, 125)(82, 83)(87, 114)(89, 100)(92,
    112)(93, 110)(94, 116)(96, 107)(97, 123)(105, 126)
,
(1, 6)(2, 87)(3, 18)(4, 53)(5, 84)(7, 50)(8, 113)(9, 45)(10, 12)(11, 14)(13, 
    46)(15, 101)(16, 109)(17, 78)(19, 52)(20, 41)(22, 118)(24, 68)(25, 44)(26, 
    126)(27, 59)(28, 42)(29, 116)(30, 91)(31, 74)(32, 121)(33, 72)(34, 63)(35, 
    58)(36, 95)(37, 40)(38, 102)(39, 88)(43, 99)(47, 122)(48, 69)(49, 56)(51, 
    120)(54, 79)(55, 100)(57, 104)(60, 83)(61, 62)(64, 124)(67, 93)(70, 92)(71, 
    117)(73, 110)(75, 103)(76, 106)(77, 82)(81, 97)(86, 94)(89, 105)(90, 
    115)(96, 125)(98, 108)(107, 123)(111, 114)(112, 119)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
    81)(25, 112)(26, 118)(27, 103)(28, 82)(29, 32)(33, 122)(34, 63)(35, 55)(36, 
    117)(38, 108)(39, 92)(41, 49)(42, 77)(44, 119)(46, 115)(47, 72)(50, 125)(51,
    76)(53, 61)(57, 111)(58, 100)(59, 75)(60, 107)(64, 93)(65, 66)(67, 124)(68, 
    97)(70, 88)(71, 95)(78, 101)(79, 113)(80, 85)(83, 123)(84, 110)(86, 109)(89,
    105)(98, 102)(104, 114)(106, 120)(116, 121)
,
(1, 61)(2, 32)(3, 62)(4, 22)(5, 70)(6, 111)(7, 80)(8, 47)(9, 10)(11, 42)(12, 
    113)(13, 34)(14, 68)(15, 117)(16, 73)(17, 90)(18, 88)(19, 86)(21, 27)(23, 
    37)(24, 119)(25, 106)(26, 122)(28, 53)(29, 121)(30, 69)(31, 103)(33, 36)(35,
    76)(38, 102)(39, 85)(40, 52)(41, 78)(44, 54)(45, 71)(46, 59)(48, 81)(49, 
    124)(50, 66)(51, 108)(55, 115)(56, 77)(57, 72)(58, 104)(60, 120)(63, 
    118)(64, 99)(65, 84)(74, 109)(75, 98)(79, 125)(82, 83)(87, 114)(89, 100)(92,
    112)(93, 110)(94, 116)(96, 107)(97, 123)(105, 126)
,
(1, 77)(2, 19)(4, 66)(5, 13)(6, 97)(7, 59)(8, 29)(9, 31)(10, 38)(11, 110)(12, 
    47)(14, 46)(15, 17)(16, 44)(18, 52)(20, 70)(21, 106)(22, 112)(23, 120)(24, 
    82)(25, 126)(26, 86)(27, 114)(28, 81)(30, 115)(32, 54)(33, 102)(34, 83)(35, 
    39)(36, 116)(37, 45)(40, 74)(41, 58)(42, 69)(43, 108)(48, 68)(49, 100)(50, 
    57)(51, 76)(53, 61)(55, 92)(56, 88)(62, 65)(63, 123)(64, 89)(71, 113)(72, 
    99)(73, 90)(75, 96)(78, 85)(79, 95)(80, 101)(84, 91)(93, 105)(94, 119)(98, 
    122)(103, 104)(109, 118)(111, 125)(117, 121)
],
[g|
(1, 69)(2, 18)(3, 87)(4, 62)(5, 73)(6, 48)(7, 96)(8, 54)(10, 43)(11, 91)(12, 
    99)(13, 90)(14, 30)(15, 17)(16, 94)(19, 52)(20, 56)(21, 23)(22, 126)(24, 
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];