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