G := sub; involutions := [ [ G!(1, 256)(2, 242)(3, 30)(4, 116)(5, 82)(6, 31)(7, 137)(8, 181)(9, 127)(10, 107)(11, 48)(12, 200)(13, 79)(14, 238)(15, 54)(16, 221)(17, 203)(18, 65)(19, 186)(20, 96)(21, 59)(22, 236)(23, 129)(24, 235)(25, 63)(26, 109)(27, 240)(28, 143)(29, 239)(32, 77)(33, 229)(34, 241)(35, 264)(37, 215)(38, 145)(39, 152)(40, 100)(41, 163)(42, 167)(43, 94)(44, 254)(45, 251)(46, 185)(47, 173)(49, 131)(50, 91)(51, 108)(52, 228)(53, 246)(55, 95)(56, 97)(57, 258)(58, 207)(60, 233)(61, 78)(62, 224)(64, 114)(66, 151)(67, 133)(68, 175)(69, 197)(70, 98)(71, 144)(72, 195)(73, 142)(74, 189)(75, 237)(76, 255)(80, 211)(81, 193)(83, 118)(84, 106)(85, 135)(86, 226)(87, 220)(88, 169)(89, 261)(90, 149)(92, 223)(93, 212)(99, 182)(101, 259)(102, 257)(103, 134)(105, 263)(110, 214)(111, 160)(112, 219)(113, 120)(115, 156)(117, 147)(119, 218)(121, 168)(122, 222)(123, 245)(124, 140)(125, 191)(128, 201)(130, 190)(136, 252)(138, 150)(139, 206)(141, 209)(146, 157)(148, 216)(153, 204)(154, 230)(155, 225)(159, 250)(161, 205)(162, 227)(164, 210)(165, 172)(166, 187)(170, 179)(174, 247)(176, 178)(177, 249)(180, 231)(183, 262)(184, 196)(188, 208)(192, 266)(194, 199)(198, 248)(202, 244)(213, 265)(234, 243), G!(1, 192)(2, 172)(3, 223)(4, 29)(5, 68)(6, 214)(7, 216)(8, 20)(9, 257)(10, 30)(12, 74)(13, 37)(14, 244)(15, 203)(16, 247)(17, 182)(18, 85)(19, 220)(21, 249)(22, 81)(23, 40)(24, 139)(25, 168)(26, 49)(27, 99)(28, 194)(31, 53)(32, 183)(33, 219)(34, 248)(35, 110)(36, 232)(38, 262)(39, 231)(41, 93)(42, 50)(43, 64)(44, 175)(45, 82)(46, 52)(47, 213)(48, 90)(51, 191)(54, 67)(55, 79)(57, 188)(58, 129)(59, 78)(60, 181)(61, 136)(62, 190)(63, 142)(65, 163)(66, 230)(69, 132)(70, 200)(71, 149)(72, 234)(73, 201)(75, 148)(76, 187)(77, 92)(80, 94)(83, 113)(84, 240)(86, 138)(87, 126)(88, 256)(89, 221)(91, 119)(96, 196)(97, 255)(98, 243)(100, 157)(101, 195)(102, 218)(103, 210)(104, 217)(105, 266)(106, 133)(107, 145)(108, 237)(109, 151)(111, 173)(112, 154)(114, 222)(115, 207)(116, 169)(117, 155)(118, 251)(120, 254)(121, 227)(122, 165)(123, 127)(124, 130)(125, 178)(128, 209)(131, 229)(134, 260)(135, 236)(137, 176)(140, 224)(141, 162)(143, 235)(146, 204)(147, 205)(150, 199)(153, 156)(159, 238)(160, 250)(161, 174)(164, 253)(167, 245)(170, 180)(171, 186)(177, 198)(184, 228)(185, 233)(189, 259)(193, 212)(202, 265)(206, 226)(208, 246)(211, 242)(225, 261)(239, 263)(241, 252)(258, 264), G!(1, 109)(2, 21)(3, 159)(4, 22)(6, 125)(7, 249)(8, 190)(9, 104)(10, 114)(11, 215)(12, 32)(13, 76)(14, 220)(15, 106)(16, 237)(17, 56)(18, 170)(19, 239)(23, 248)(24, 66)(25, 171)(26, 247)(27, 113)(28, 252)(29, 94)(30, 46)(31, 261)(33, 221)(34, 145)(35, 128)(36, 214)(37, 204)(38, 90)(39, 73)(40, 85)(41, 232)(42, 62)(43, 75)(44, 79)(45, 57)(47, 191)(48, 256)(49, 243)(51, 183)(52, 154)(53, 129)(54, 151)(55, 210)(58, 176)(60, 180)(61, 198)(63, 127)(64, 95)(65, 259)(67, 230)(68, 155)(69, 98)(70, 172)(71, 195)(72, 236)(74, 208)(77, 194)(78, 117)(80, 120)(81, 228)(83, 177)(84, 265)(86, 240)(87, 137)(88, 260)(89, 262)(91, 242)(92, 238)(93, 224)(97, 184)(99, 201)(100, 101)(102, 246)(103, 193)(105, 140)(107, 181)(108, 173)(110, 150)(111, 132)(112, 133)(115, 126)(116, 142)(118, 223)(119, 235)(121, 139)(122, 189)(123, 169)(124, 226)(130, 164)(131, 146)(134, 219)(135, 216)(136, 231)(138, 217)(141, 258)(143, 244)(144, 152)(147, 257)(148, 179)(149, 209)(153, 174)(156, 163)(157, 199)(158, 245)(161, 233)(162, 175)(165, 185)(167, 182)(168, 187)(178, 266)(186, 229)(188, 196)(192, 227)(197, 250)(200, 234)(202, 205)(203, 222)(207, 225)(211, 263)(212, 264)(213, 218)(241, 251)(254, 255) ] , [ G!(1, 90)(2, 98)(4, 33)(5, 108)(7, 73)(8, 106)(9, 72)(11, 148)(12, 224)(13, 83)(14, 196)(15, 43)(16, 187)(17, 114)(18, 234)(19, 264)(20, 130)(21, 214)(22, 240)(23, 201)(24, 149)(25, 170)(26, 203)(27, 30)(28, 102)(29, 147)(31, 237)(32, 190)(34, 88)(35, 248)(36, 59)(37, 226)(38, 61)(39, 125)(40, 127)(41, 142)(42, 265)(44, 85)(45, 55)(47, 91)(48, 177)(49, 188)(50, 137)(51, 215)(52, 231)(53, 233)(54, 164)(56, 111)(57, 171)(58, 77)(60, 167)(62, 175)(63, 156)(65, 180)(66, 87)(67, 69)(68, 176)(70, 239)(71, 218)(74, 112)(75, 151)(76, 107)(78, 134)(79, 213)(80, 121)(81, 252)(82, 204)(84, 223)(89, 249)(92, 150)(93, 247)(94, 110)(95, 99)(96, 210)(97, 244)(100, 179)(101, 161)(103, 160)(104, 155)(105, 262)(109, 186)(113, 139)(115, 158)(116, 219)(117, 178)(118, 135)(119, 255)(120, 246)(122, 173)(123, 193)(124, 126)(128, 266)(129, 206)(131, 159)(132, 162)(133, 209)(136, 172)(138, 152)(140, 230)(141, 163)(143, 258)(144, 245)(145, 192)(146, 212)(153, 183)(154, 189)(157, 225)(165, 227)(166, 232)(169, 228)(174, 199)(181, 200)(182, 238)(184, 242)(185, 205)(191, 251)(194, 220)(195, 235)(197, 253)(198, 257)(202, 254)(208, 211)(216, 250)(217, 261)(221, 263)(229, 236)(241, 260)(243, 259), G!(1, 113)(2, 154)(3, 252)(4, 74)(5, 48)(6, 234)(7, 175)(8, 88)(9, 151)(10, 173)(11, 259)(12, 60)(13, 248)(14, 225)(15, 194)(16, 226)(17, 115)(19, 86)(20, 200)(21, 96)(22, 141)(23, 162)(24, 46)(25, 26)(27, 261)(28, 106)(29, 122)(30, 150)(31, 56)(32, 127)(33, 251)(34, 59)(35, 221)(36, 181)(37, 118)(38, 233)(39, 44)(40, 260)(41, 135)(42, 214)(43, 128)(45, 131)(49, 62)(50, 227)(51, 90)(52, 64)(53, 97)(54, 258)(55, 78)(57, 219)(58, 204)(61, 223)(63, 93)(65, 145)(66, 242)(67, 250)(68, 72)(69, 206)(70, 232)(71, 87)(73, 185)(75, 262)(76, 99)(77, 142)(79, 180)(80, 153)(81, 246)(82, 187)(83, 114)(84, 155)(85, 183)(89, 146)(92, 257)(94, 238)(95, 110)(98, 143)(100, 205)(101, 172)(102, 130)(103, 263)(104, 123)(105, 157)(107, 201)(108, 121)(109, 191)(111, 249)(112, 148)(116, 133)(117, 136)(119, 139)(120, 222)(124, 229)(125, 177)(126, 144)(129, 209)(132, 182)(134, 266)(137, 189)(138, 237)(140, 247)(147, 168)(149, 211)(152, 253)(156, 236)(158, 160)(159, 220)(161, 241)(163, 215)(164, 165)(166, 170)(167, 217)(169, 179)(171, 216)(174, 202)(176, 196)(178, 190)(186, 243)(188, 228)(192, 213)(193, 244)(197, 212)(198, 224)(199, 239)(203, 254)(207, 208)(230, 245)(231, 264)(240, 255), G!(1, 124)(2, 74)(3, 64)(4, 145)(5, 158)(6, 222)(7, 93)(8, 125)(9, 97)(10, 214)(11, 168)(12, 198)(13, 32)(14, 241)(15, 21)(16, 99)(17, 22)(18, 199)(19, 112)(20, 231)(23, 212)(24, 140)(25, 71)(27, 157)(28, 216)(29, 182)(30, 63)(31, 161)(34, 174)(35, 230)(36, 164)(37, 154)(38, 94)(39, 177)(40, 258)(41, 118)(42, 115)(43, 256)(44, 183)(45, 148)(46, 55)(47, 261)(48, 172)(49, 81)(50, 149)(51, 204)(52, 234)(53, 126)(54, 254)(56, 248)(57, 239)(58, 142)(59, 255)(60, 263)(62, 117)(65, 237)(66, 262)(67, 111)(68, 224)(69, 137)(70, 103)(72, 176)(73, 79)(75, 173)(76, 215)(77, 147)(78, 253)(80, 143)(82, 179)(83, 180)(84, 91)(85, 181)(87, 217)(88, 165)(89, 151)(90, 213)(92, 104)(95, 249)(96, 252)(98, 218)(100, 226)(101, 206)(102, 162)(105, 235)(106, 220)(107, 189)(108, 211)(109, 163)(110, 203)(113, 264)(114, 169)(116, 185)(119, 178)(120, 194)(121, 197)(122, 209)(123, 146)(127, 236)(128, 155)(129, 190)(130, 227)(132, 166)(133, 187)(134, 229)(135, 138)(136, 246)(139, 170)(141, 242)(144, 257)(150, 240)(152, 238)(153, 210)(156, 225)(159, 221)(160, 201)(171, 193)(175, 202)(188, 200)(191, 207)(192, 259)(195, 223)(196, 232)(205, 208)(219, 265)(228, 266)(233, 247)(244, 245)(250, 260) ] , [ G!(1, 147)(2, 108)(3, 120)(4, 74)(5, 200)(6, 42)(7, 188)(8, 247)(9, 158)(10, 255)(11, 259)(12, 170)(13, 57)(14, 217)(15, 123)(16, 192)(17, 129)(18, 210)(19, 55)(20, 48)(21, 71)(22, 185)(23, 117)(24, 182)(25, 69)(26, 206)(27, 203)(28, 153)(29, 163)(30, 75)(31, 143)(32, 94)(33, 37)(34, 39)(35, 176)(36, 236)(38, 155)(41, 180)(43, 52)(44, 59)(45, 97)(46, 132)(47, 256)(49, 119)(50, 125)(51, 169)(53, 131)(54, 183)(56, 98)(58, 65)(60, 166)(61, 266)(62, 139)(63, 138)(64, 128)(66, 242)(67, 263)(68, 198)(70, 133)(72, 224)(73, 141)(76, 241)(77, 112)(78, 86)(79, 135)(80, 106)(82, 186)(83, 105)(84, 233)(85, 258)(87, 96)(88, 140)(89, 165)(90, 179)(91, 195)(92, 239)(93, 237)(95, 149)(99, 161)(101, 178)(102, 126)(103, 250)(104, 194)(107, 208)(109, 191)(110, 211)(111, 124)(113, 168)(114, 157)(115, 209)(116, 232)(118, 251)(121, 154)(122, 215)(127, 238)(130, 144)(134, 223)(136, 162)(137, 152)(142, 148)(145, 204)(146, 164)(150, 262)(151, 160)(156, 181)(159, 231)(167, 225)(171, 202)(172, 190)(173, 240)(174, 216)(175, 228)(177, 227)(184, 265)(187, 243)(189, 253)(196, 221)(197, 245)(199, 257)(201, 207)(212, 230)(213, 226)(214, 234)(219, 248)(220, 264)(222, 252)(229, 249)(254, 261), G!(1, 98)(2, 213)(3, 164)(4, 178)(5, 216)(6, 125)(7, 150)(8, 222)(9, 185)(10, 100)(11, 237)(12, 230)(13, 108)(14, 127)(15, 183)(17, 191)(18, 162)(19, 112)(20, 143)(21, 44)(22, 207)(23, 156)(24, 192)(25, 195)(26, 86)(28, 158)(29, 67)(30, 229)(31, 130)(32, 211)(35, 198)(36, 64)(37, 166)(38, 204)(39, 117)(40, 139)(41, 58)(42, 43)(45, 87)(46, 260)(47, 105)(48, 79)(49, 88)(50, 57)(51, 94)(52, 234)(53, 68)(54, 238)(55, 250)(59, 188)(60, 89)(61, 167)(62, 177)(63, 134)(65, 168)(66, 76)(69, 169)(70, 220)(71, 223)(72, 171)(73, 172)(74, 90)(75, 128)(77, 78)(80, 231)(81, 165)(82, 123)(83, 144)(84, 242)(85, 136)(91, 141)(92, 232)(93, 240)(95, 247)(96, 252)(97, 116)(101, 221)(102, 199)(103, 106)(104, 196)(107, 245)(109, 205)(110, 190)(111, 182)(113, 202)(114, 137)(115, 256)(118, 142)(119, 145)(120, 194)(121, 219)(122, 138)(124, 218)(126, 224)(129, 203)(132, 154)(133, 201)(135, 209)(140, 259)(146, 179)(147, 253)(148, 217)(149, 239)(151, 263)(152, 254)(153, 228)(155, 173)(159, 206)(160, 187)(161, 227)(163, 208)(170, 258)(175, 264)(176, 193)(180, 257)(181, 246)(184, 243)(186, 251)(189, 244)(197, 265)(200, 255)(210, 266)(212, 225)(214, 226)(215, 262)(233, 249)(235, 261)(236, 241), G!(1, 73)(2, 141)(3, 86)(4, 243)(5, 140)(6, 64)(7, 90)(8, 253)(9, 235)(11, 21)(12, 66)(13, 237)(14, 175)(15, 43)(16, 28)(17, 79)(18, 113)(19, 109)(20, 74)(22, 167)(23, 180)(24, 40)(25, 242)(26, 160)(27, 244)(29, 154)(30, 97)(31, 83)(32, 239)(33, 259)(34, 218)(35, 78)(36, 76)(37, 202)(38, 146)(39, 85)(41, 100)(42, 111)(44, 125)(45, 191)(46, 256)(47, 245)(48, 143)(49, 220)(50, 185)(51, 152)(52, 174)(54, 162)(55, 251)(56, 265)(57, 94)(58, 209)(59, 107)(60, 240)(61, 212)(62, 196)(63, 176)(65, 201)(67, 80)(68, 156)(69, 121)(70, 190)(71, 88)(72, 195)(75, 238)(77, 133)(81, 219)(82, 178)(84, 223)(87, 224)(89, 166)(91, 144)(92, 124)(93, 128)(95, 118)(96, 172)(98, 163)(99, 135)(101, 123)(102, 187)(103, 203)(104, 221)(105, 262)(106, 197)(108, 230)(110, 171)(112, 130)(114, 213)(115, 183)(116, 252)(117, 204)(119, 216)(120, 236)(122, 241)(126, 150)(127, 149)(131, 169)(132, 164)(134, 248)(136, 210)(137, 205)(138, 215)(139, 234)(142, 179)(147, 189)(148, 214)(151, 182)(153, 158)(155, 263)(157, 257)(159, 228)(161, 193)(168, 207)(170, 184)(173, 260)(177, 258)(181, 208)(186, 264)(188, 194)(198, 225)(199, 231)(200, 211)(217, 261)(226, 254)(229, 246)(232, 249)(247, 266)(250, 255) ] , [ G!(1, 172)(2, 207)(4, 87)(5, 74)(6, 194)(7, 28)(8, 121)(9, 124)(10, 135)(11, 166)(12, 197)(13, 154)(14, 176)(15, 110)(16, 18)(17, 27)(19, 103)(20, 141)(21, 94)(22, 104)(23, 80)(24, 178)(25, 243)(26, 30)(29, 210)(31, 133)(32, 91)(33, 146)(34, 237)(35, 60)(36, 258)(37, 170)(38, 65)(39, 158)(40, 49)(41, 261)(42, 227)(43, 160)(44, 199)(45, 228)(46, 57)(47, 211)(48, 187)(50, 252)(51, 215)(52, 206)(53, 259)(54, 106)(56, 230)(58, 150)(59, 179)(61, 114)(62, 245)(63, 233)(64, 155)(66, 92)(67, 265)(68, 102)(69, 71)(70, 100)(72, 188)(73, 195)(75, 79)(76, 219)(77, 212)(78, 218)(81, 181)(82, 257)(83, 185)(84, 173)(85, 217)(86, 116)(88, 186)(89, 122)(90, 161)(93, 96)(95, 151)(98, 132)(99, 152)(101, 251)(105, 253)(108, 147)(109, 193)(111, 200)(112, 247)(113, 143)(115, 266)(117, 144)(118, 244)(119, 175)(120, 213)(123, 209)(125, 225)(126, 202)(127, 254)(128, 192)(129, 234)(130, 224)(131, 236)(134, 165)(136, 216)(137, 140)(138, 246)(139, 239)(142, 263)(145, 157)(148, 190)(149, 255)(153, 183)(156, 226)(159, 189)(163, 262)(164, 242)(167, 223)(169, 222)(171, 260)(174, 221)(177, 231)(180, 203)(184, 201)(191, 250)(196, 235)(204, 256)(205, 229)(208, 232)(214, 264)(220, 238)(248, 249), G!(2, 62)(3, 55)(4, 158)(5, 227)(6, 241)(7, 89)(8, 78)(9, 103)(10, 83)(11, 198)(12, 60)(13, 140)(14, 228)(15, 185)(16, 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240)(219, 236)(221, 266)(225, 249)(235, 255)(239, 243)(254, 256), G!(1, 71)(2, 70)(3, 94)(4, 30)(5, 38)(6, 93)(7, 189)(8, 255)(9, 115)(10, 170)(11, 175)(12, 162)(13, 87)(14, 100)(15, 200)(16, 139)(17, 211)(18, 229)(19, 197)(20, 266)(21, 105)(22, 122)(23, 29)(24, 123)(26, 149)(27, 264)(28, 221)(31, 195)(32, 64)(33, 124)(34, 261)(35, 130)(36, 180)(37, 182)(39, 107)(40, 216)(41, 253)(42, 47)(43, 187)(44, 76)(45, 141)(46, 67)(48, 222)(49, 265)(50, 206)(51, 250)(52, 159)(53, 108)(54, 260)(55, 99)(56, 109)(57, 112)(58, 96)(59, 185)(60, 238)(61, 75)(62, 174)(63, 220)(65, 137)(66, 202)(68, 252)(69, 223)(72, 165)(73, 114)(74, 251)(77, 147)(78, 113)(79, 164)(80, 224)(81, 134)(82, 209)(83, 203)(84, 227)(86, 257)(89, 98)(90, 125)(91, 226)(92, 104)(95, 259)(97, 117)(102, 235)(106, 171)(110, 169)(111, 214)(116, 190)(118, 136)(119, 233)(120, 166)(121, 242)(126, 179)(127, 151)(128, 215)(129, 213)(131, 176)(132, 183)(133, 154)(135, 163)(138, 245)(140, 184)(142, 208)(143, 205)(144, 181)(145, 196)(148, 239)(150, 161)(152, 262)(153, 258)(155, 194)(156, 219)(157, 246)(158, 217)(160, 173)(168, 263)(172, 177)(178, 218)(186, 231)(188, 198)(191, 248)(192, 204)(193, 232)(199, 225)(207, 244)(210, 234)(212, 256)(230, 241)(236, 247)(237, 240)(249, 254) ] , [ G!(1, 136)(2, 3)(4, 21)(5, 238)(6, 247)(7, 176)(8, 175)(9, 85)(10, 112)(11, 37)(12, 39)(13, 58)(14, 167)(15, 92)(17, 211)(18, 182)(19, 71)(20, 22)(23, 149)(24, 228)(25, 258)(26, 32)(27, 143)(28, 223)(29, 177)(30, 44)(31, 209)(33, 165)(34, 88)(35, 195)(36, 232)(38, 226)(40, 156)(41, 202)(42, 120)(43, 265)(45, 242)(46, 163)(47, 113)(48, 220)(49, 65)(50, 212)(51, 237)(52, 118)(53, 179)(54, 86)(55, 144)(56, 214)(57, 155)(59, 263)(60, 122)(61, 239)(63, 174)(64, 262)(66, 159)(67, 131)(68, 235)(69, 140)(70, 261)(72, 170)(73, 89)(74, 187)(75, 134)(76, 121)(77, 218)(78, 252)(79, 146)(80, 184)(81, 154)(82, 257)(83, 138)(84, 196)(87, 95)(90, 153)(91, 199)(93, 206)(94, 151)(96, 244)(97, 234)(98, 162)(99, 230)(100, 126)(101, 161)(102, 173)(103, 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192)(189, 209)(195, 244)(198, 242)(199, 256)(200, 227)(208, 240)(210, 220)(213, 243)(216, 265)(222, 238)(245, 248) ] ]; geometries := [* *]; for i in [1..#involutions] do G1 := sub; G2 := sub; G3 := sub; Append(~geometries,CosetGeometry(G,{G1,G2,G3})); end for;