C4graphGraph forms for C4 [ 512, 244 ] = UG(ATD[512,551])

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On this page are computer-accessible forms for the graph C4[ 512, 244 ] = UG(ATD[512,551]).

(I) Following is a form readable by MAGMA:

g:=Graph<512|{ {1, 9}, {7, 15}, {3, 10}, {480, 490}, {342, 349}, {48, 61}, {340, 346}, {337, 350}, {1, 17}, {7, 23}, {2, 19}, {493, 508}, {492, 509}, {45, 60}, {326, 340}, {324, 343}, {4, 16}, {494, 506}, {491, 511}, {43, 63}, {172, 184}, {47, 58}, {270, 280}, {487, 497}, {484, 498}, {323, 341}, {325, 338}, {483, 500}, {481, 502}, {1, 25}, {171, 179}, {175, 183}, {3, 26}, {6, 31}, {206, 212}, {268, 278}, {204, 215}, {265, 274}, {8, 20}, {169, 181}, {203, 213}, {205, 210}, {266, 277}, {17, 49}, {23, 55}, {18, 51}, {159, 189}, {455, 485}, {453, 487}, {332, 366}, {329, 362}, {12, 40}, {208, 245}, {413, 440}, {286, 315}, {284, 313}, {283, 318}, {152, 190}, {153, 191}, {156, 187}, {452, 483}, {330, 365}, {264, 303}, {1, 41}, {269, 293}, {15, 39}, {9, 33}, {8, 32}, {4, 44}, {2, 43}, {270, 295}, {266, 291}, {11, 34}, {6, 47}, {145, 187}, {450, 488}, {396, 422}, {150, 188}, {208, 250}, {399, 420}, {475, 496}, {24, 52}, {411, 438}, {414, 435}, {412, 433}, {147, 189}, {397, 419}, {261, 299}, {258, 301}, {394, 421}, {9, 57}, {11, 58}, {14, 63}, {207, 253}, {479, 493}, {338, 352}, {257, 307}, {260, 311}, {477, 494}, {259, 309}, {262, 304}, {201, 254}, {272, 296}, {205, 244}, {202, 246}, {384, 444}, {206, 243}, {320, 381}, {334, 368}, {263, 312}, {41, 105}, {444, 508}, {442, 506}, {55, 119}, {49, 113}, {47, 111}, {42, 107}, {447, 510}, {317, 380}, {50, 115}, {433, 499}, {436, 502}, {434, 497}, {180, 240}, {445, 505}, {314, 382}, {318, 379}, {294, 352}, {143, 200}, {137, 195}, {140, 199}, {28, 80}, {56, 116}, {157, 208}, {139, 197}, {438, 504}, {9, 89}, {285, 333}, {284, 332}, {31, 79}, {25, 73}, {24, 72}, {17, 65}, {16, 64}, {12, 92}, {10, 91}, {287, 334}, {282, 331}, {27, 74}, {22, 71}, {19, 66}, {14, 95}, {388, 471}, {427, 504}, {392, 476}, {155, 206}, {424, 509}, {309, 352}, {156, 201}, {158, 203}, {389, 467}, {386, 469}, {178, 234}, {391, 479}, {389, 477}, {183, 239}, {387, 474}, {421, 508}, {155, 192}, {430, 501}, {429, 502}, {48, 108}, {418, 510}, {181, 233}, {285, 320}, {422, 507}, {428, 498}, {391, 472}, {25, 121}, {27, 122}, {30, 127}, {24, 125}, {271, 360}, {21, 124}, {393, 483}, {428, 454}, {396, 486}, {142, 229}, {432, 475}, {431, 452}, {399, 484}, {19, 127}, {444, 464}, {23, 122}, {311, 346}, {308, 345}, {306, 351}, {267, 357}, {429, 451}, {395, 485}, {137, 230}, {426, 453}, {269, 354}, {139, 228}, {17, 97}, {446, 462}, {441, 457}, {39, 87}, {33, 81}, {20, 100}, {18, 99}, {442, 459}, {301, 348}, {300, 349}, {35, 82}, {22, 103}, {269, 383}, {271, 381}, {144, 227}, {430, 477}, {429, 478}, {298, 350}, {303, 347}, {29, 104}, {272, 358}, {426, 476}, {268, 379}, {28, 101}, {261, 380}, {141, 244}, {291, 345}, {292, 350}, {31, 99}, {259, 383}, {139, 247}, {36, 88}, {26, 103}, {262, 379}, {260, 377}, {140, 241}, {142, 243}, {293, 347}, {89, 217}, {365, 493}, {364, 492}, {295, 423}, {289, 417}, {111, 239}, {105, 233}, {103, 231}, {97, 225}, {95, 223}, {90, 219}, {366, 495}, {363, 490}, {291, 418}, {112, 241}, {106, 235}, {98, 227}, {265, 395}, {346, 472}, {268, 398}, {271, 396}, {267, 397}, {322, 458}, {326, 462}, {266, 384}, {111, 228}, {350, 469}, {104, 228}, {321, 461}, {292, 424}, {107, 229}, {348, 466}, {109, 226}, {345, 470}, {111, 224}, {68, 213}, {261, 404}, {121, 232}, {64, 211}, {278, 389}, {277, 390}, {71, 211}, {324, 464}, {258, 406}, {66, 215}, {288, 437}, {263, 402}, {260, 401}, {276, 386}, {112, 231}, {109, 244}, {256, 409}, {124, 229}, {267, 401}, {270, 404}, {268, 407}, {275, 392}, {60, 160}, {126, 226}, {122, 230}, {112, 236}, {110, 242}, {106, 246}, {69, 216}, {317, 416}, {269, 403}, {25, 185}, {376, 472}, {371, 467}, {63, 159}, {57, 153}, {56, 152}, {49, 145}, {48, 144}, {41, 137}, {40, 136}, {33, 129}, {32, 128}, {28, 188}, {26, 187}, {375, 470}, {316, 413}, {59, 154}, {54, 151}, {51, 146}, {46, 143}, {43, 138}, {38, 135}, {35, 130}, {30, 191}, {319, 411}, {373, 465}, {277, 432}, {314, 415}, {376, 464}, {285, 436}, {90, 240}, {283, 439}, {287, 434}, {370, 450}, {374, 454}, {93, 239}, {324, 502}, {95, 237}, {108, 223}, {327, 500}, {373, 449}, {109, 219}, {325, 499}, {92, 235}, {322, 501}, {278, 417}, {276, 419}, {273, 422}, {106, 221}, {64, 248}, {371, 459}, {65, 249}, {67, 250}, {374, 463}, {276, 429}, {70, 255}, {274, 424}, {96, 220}, {376, 452}, {369, 461}, {279, 427}, {274, 431}, {113, 177}, {382, 446}, {379, 443}, {316, 508}, {313, 505}, {304, 496}, {301, 493}, {295, 487}, {290, 482}, {119, 183}, {12, 205}, {318, 511}, {314, 507}, {302, 495}, {298, 491}, {114, 179}, {57, 251}, {120, 186}, {62, 252}, {58, 249}, {358, 421}, {60, 255}, {15, 203}, {377, 445}, {293, 481}, {10, 207}, {56, 253}, {336, 406}, {356, 418}, {354, 420}, {353, 423}, {57, 241}, {53, 252}, {357, 428}, {62, 247}, {59, 242}, {117, 191}, {302, 484}, {119, 189}, {300, 487}, {51, 255}, {366, 418}, {354, 430}, {348, 400}, {292, 488}, {120, 180}, {55, 250}, {363, 422}, {361, 420}, {359, 426}, {356, 425}, {80, 158}, {299, 485}, {115, 188}, {301, 482}, {330, 410}, {351, 399}, {349, 397}, {335, 414}, {368, 417}, {346, 395}, {75, 153}, {308, 486}, {307, 481}, {88, 138}, {78, 156}, {73, 154}, {342, 389}, {341, 390}, {312, 492}, {329, 413}, {309, 483}, {338, 388}, {256, 472}, {310, 494}, {306, 490}, {261, 477}, {93, 132}, {263, 478}, {259, 474}, {334, 404}, {344, 387}, {91, 135}, {309, 489}, {13, 208}, {95, 130}, {310, 488}, {333, 403}, {81, 142}, {330, 405}, {86, 137}, {83, 140}, {33, 193}, {87, 183}, {81, 177}, {79, 175}, {73, 169}, {71, 167}, {65, 161}, {52, 212}, {49, 209}, {44, 204}, {41, 201}, {36, 196}, {34, 195}, {83, 178}, {75, 170}, {67, 162}, {54, 215}, {50, 211}, {46, 207}, {42, 203}, {38, 199}, {357, 391}, {59, 216}, {342, 437}, {341, 438}, {102, 133}, {96, 133}, {78, 168}, {340, 434}, {97, 135}, {355, 388}, {358, 385}, {356, 387}, {264, 480}, {73, 163}, {76, 166}, {61, 214}, {339, 440}, {104, 131}, {99, 136}, {74, 161}, {68, 168}, {84, 184}, {63, 209}, {65, 174}, {70, 169}, {68, 171}, {336, 416}, {5, 244}, {66, 176}, {3, 247}, {7, 242}, {123, 129}, {124, 134}, {121, 130}, {127, 132}, {76, 176}, {8, 245}, {213, 468}, {154, 409}, {156, 415}, {210, 470}, {77, 328}, {214, 467}, {157, 410}, {121, 369}, {136, 384}, {185, 433}, {188, 436}, {123, 370}, {126, 375}, {186, 435}, {190, 439}, {75, 326}, {78, 323}, {76, 321}, {216, 469}, {114, 354}, {119, 359}, {209, 449}, {212, 452}, {101, 372}, {210, 451}, {214, 455}, {98, 374}, {136, 412}, {117, 353}, {102, 371}, {152, 398}, {130, 410}, {134, 414}, {177, 425}, {180, 428}, {36, 317}, {178, 427}, {182, 431}, {150, 396}, {146, 393}, {39, 315}, {133, 409}, {116, 360}, {34, 319}, {104, 373}, {149, 394}, {97, 321}, {116, 340}, {113, 337}, {108, 332}, {105, 329}, {100, 324}, {98, 323}, {118, 343}, {114, 339}, {110, 335}, {106, 331}, {102, 327}, {84, 368}, {142, 424}, {165, 397}, {249, 465}, {248, 464}, {163, 394}, {254, 471}, {251, 466}, {167, 398}, {102, 332}, {100, 335}, {123, 336}, {99, 333}, {141, 419}, {101, 330}, {138, 421}, {69, 372}, {200, 505}, {237, 479}, {125, 334}, {181, 390}, {67, 375}, {68, 369}, {253, 456}, {125, 328}, {70, 371}, {127, 329}, {178, 388}, {144, 423}, {238, 473}, {182, 385}, {235, 476}, {236, 475}, {82, 362}, {241, 457}, {87, 367}, {168, 400}, {185, 385}, {124, 325}, {252, 453}, {246, 463}, {243, 458}, {187, 386}, {190, 391}, {122, 320}, {184, 386}, {85, 361}, {254, 450}, {126, 322}, {198, 506}, {123, 326}, {251, 454}, {194, 511}, {159, 416}, {4, 325}, {53, 372}, {149, 468}, {45, 367}, {125, 319}, {47, 365}, {27, 344}, {7, 323}, {54, 370}, {50, 374}, {147, 471}, {220, 408}, {2, 327}, {148, 465}, {150, 467}, {44, 363}, {126, 313}, {72, 256}, {192, 392}, {212, 412}, {213, 413}, {218, 402}, {222, 406}, {56, 369}, {211, 410}, {214, 415}, {170, 480}, {195, 393}, {196, 398}, {29, 342}, {217, 405}, {5, 328}, {31, 337}, {94, 272}, {197, 395}, {217, 393}, {164, 501}, {219, 394}, {222, 399}, {91, 265}, {92, 270}, {167, 499}, {160, 501}, {162, 503}, {93, 267}, {198, 400}, {55, 352}, {89, 257}, {179, 491}, {180, 492}, {91, 258}, {94, 263}, {182, 495}, {42, 368}, {100, 318}, {173, 503}, {103, 316}, {181, 489}, {165, 504}, {253, 416}, {101, 315}, {98, 317}, {171, 500}, {172, 499}, {174, 497}, {81, 305}, {120, 280}, {113, 273}, {112, 272}, {105, 265}, {92, 316}, {89, 313}, {84, 308}, {82, 307}, {118, 279}, {115, 274}, {110, 271}, {107, 266}, {94, 319}, {90, 315}, {86, 311}, {245, 407}, {247, 405}, {107, 264}, {141, 494}, {255, 411}, {37, 320}, {251, 414}, {163, 454}, {164, 449}, {166, 451}, {143, 489}, {175, 456}, {243, 404}, {240, 407}, {96, 264}, {157, 500}, {176, 474}, {248, 402}, {52, 351}, {109, 262}, {170, 449}, {172, 455}, {155, 503}, {16, 381}, {159, 498}, {165, 456}, {53, 347}, {238, 384}, {50, 349}, {110, 257}, {108, 259}, {173, 450}, {201, 441}, {204, 444}, {224, 400}, {225, 401}, {232, 408}, {4, 373}, {13, 380}, {5, 372}, {202, 443}, {206, 447}, {227, 402}, {230, 407}, {173, 479}, {32, 339}, {3, 375}, {88, 300}, {11, 383}, {6, 370}, {15, 378}, {238, 408}, {174, 473}, {83, 299}, {87, 303}, {132, 509}, {204, 438}, {225, 411}, {230, 412}, {139, 496}, {144, 491}, {207, 436}, {226, 409}, {228, 415}, {85, 297}, {134, 506}, {131, 510}, {205, 435}, {237, 403}, {202, 437}, {234, 405}, {35, 419}, {39, 423}, {60, 445}, {192, 321}, {58, 440}, {88, 474}, {155, 281}, {158, 284}, {161, 291}, {164, 294}, {153, 282}, {162, 289}, {37, 417}, {62, 442}, {224, 356}, {232, 364}, {59, 446}, {161, 297}, {167, 303}, {225, 361}, {231, 367}, {163, 298}, {226, 363}, {61, 439}, {85, 478}, {40, 420}, {82, 476}, {166, 296}, {62, 433}, {86, 473}, {162, 306}, {168, 312}, {166, 311}, {236, 382}, {115, 480}, {233, 378}, {164, 304}, {165, 305}, {248, 366}, {234, 381}, {129, 281}, {135, 287}, {131, 282}, {224, 377}, {246, 364}, {242, 361}, {192, 348}, {35, 446}, {93, 448}, {38, 443}, {36, 441}, {245, 362}, {117, 468}, {176, 273}, {221, 380}, {70, 484}, {146, 304}, {197, 359}, {199, 357}, {66, 481}, {149, 310}, {114, 470}, {132, 288}, {118, 466}, {218, 382}, {222, 378}, {151, 305}, {69, 482}, {196, 355}, {77, 485}, {75, 482}, {120, 465}, {79, 486}, {196, 365}, {194, 360}, {117, 478}, {147, 312}, {152, 307}, {198, 362}, {83, 510}, {86, 507}, {84, 505}, {193, 364}, {194, 367}, {72, 486}, {116, 475}, {118, 473}, {145, 289}, {151, 295}, {147, 290}, {53, 390}, {8, 445}, {173, 280}, {46, 408}, {52, 387}, {54, 385}, {177, 262}, {179, 260}, {182, 257}, {80, 488}, {217, 353}, {223, 359}, {218, 355}, {43, 401}, {128, 314}, {44, 406}, {184, 258}, {51, 392}, {148, 296}, {175, 275}, {2, 447}, {6, 443}, {171, 278}, {45, 403}, {160, 286}, {145, 302}, {148, 299}, {150, 297}, {12, 461}, {140, 333}, {21, 468}, {20, 469}, {13, 460}, {148, 341}, {169, 360}, {11, 463}, {22, 466}, {19, 471}, {14, 458}, {143, 331}, {151, 339}, {238, 298}, {5, 448}, {138, 335}, {146, 343}, {233, 300}, {235, 302}, {231, 288}, {34, 490}, {154, 338}, {210, 282}, {219, 275}, {220, 276}, {38, 495}, {158, 343}, {215, 286}, {222, 279}, {202, 256}, {128, 331}, {37, 489}, {157, 337}, {170, 358}, {209, 285}, {221, 273}, {149, 344}, {172, 353}, {174, 355}, {20, 453}, {29, 460}, {24, 457}, {32, 498}, {198, 277}, {23, 451}, {27, 463}, {18, 455}, {30, 459}, {28, 457}, {193, 279}, {40, 496}, {21, 460}, {240, 297}, {96, 441}, {237, 308}, {195, 280}, {200, 275}, {18, 462}, {22, 458}, {234, 310}, {21, 456}, {239, 306}, {141, 336}, {236, 305}, {74, 426}, {80, 432}, {185, 345}, {191, 351}, {194, 290}, {200, 296}, {45, 460}, {78, 431}, {186, 347}, {199, 294}, {26, 504}, {72, 427}, {42, 462}, {94, 442}, {77, 425}, {193, 293}, {37, 448}, {254, 283}, {252, 281}, {250, 287}, {249, 284}, {90, 447}, {46, 459}, {29, 503}, {69, 430}, {16, 509}, {71, 425}, {30, 497}, {64, 434}, {67, 432}, {10, 511}, {77, 440}, {14, 507}, {189, 328}, {232, 286}, {128, 376}, {129, 377}, {160, 344}, {216, 288}, {76, 437}, {134, 383}, {131, 378}, {220, 294}, {227, 281}, {218, 289}, {223, 292}, {79, 435}, {190, 322}, {48, 461}, {74, 439}, {61, 448}, {186, 327}, {229, 283}, {221, 290}, {13, 512}, {85, 512}, {133, 512}, {197, 512} }>;

(II) A more general form is to represent the graph as the orbit of {1, 9} under the group generated by the following permutations:

a: (1, 9)(2, 447)(3, 446)(4, 16)(5, 13)(6, 443)(7, 442)(8, 12)(10, 462)(11, 463)(14, 458)(15, 459)(17, 33)(18, 511)(19, 510)(20, 40)(21, 37)(22, 507)(23, 506)(24, 36)(25, 89)(26, 382)(27, 383)(28, 96)(29, 93)(30, 378)(31, 379)(32, 92)(34, 374)(35, 375)(38, 370)(39, 371)(41, 57)(42, 207)(43, 206)(44, 64)(45, 61)(46, 203)(47, 202)(48, 60)(49, 81)(50, 490)(51, 491)(52, 88)(53, 85)(54, 495)(55, 494)(56, 84)(58, 246)(59, 247)(62, 242)(63, 243)(65, 193)(66, 418)(67, 419)(68, 200)(69, 197)(70, 423)(71, 422)(72, 196)(73, 217)(74, 269)(75, 265)(76, 224)(77, 221)(78, 272)(79, 268)(80, 220)(82, 470)(83, 471)(86, 466)(87, 467)(90, 327)(91, 326)(94, 323)(95, 322)(97, 129)(98, 319)(99, 318)(100, 136)(101, 133)(102, 315)(103, 314)(104, 132)(105, 153)(106, 440)(107, 436)(108, 160)(109, 157)(110, 433)(111, 437)(112, 156)(113, 177)(114, 476)(115, 480)(116, 184)(117, 181)(118, 473)(119, 477)(120, 180)(121, 313)(122, 134)(123, 135)(124, 320)(125, 317)(126, 130)(127, 131)(128, 316)(137, 251)(138, 212)(139, 216)(140, 254)(141, 250)(142, 209)(143, 213)(144, 255)(145, 305)(146, 298)(147, 299)(148, 312)(149, 309)(150, 303)(151, 302)(152, 308)(154, 405)(155, 401)(158, 408)(159, 404)(161, 293)(162, 397)(163, 393)(164, 292)(165, 289)(166, 400)(167, 396)(168, 296)(169, 353)(170, 274)(171, 275)(172, 360)(173, 357)(174, 279)(175, 278)(176, 356)(178, 388)(179, 392)(182, 385)(183, 389)(185, 257)(186, 240)(187, 236)(188, 264)(189, 261)(190, 237)(191, 233)(192, 260)(194, 455)(195, 454)(198, 451)(199, 450)(201, 241)(204, 248)(205, 245)(208, 244)(210, 362)(211, 363)(214, 367)(215, 366)(218, 504)(219, 500)(222, 497)(223, 501)(225, 281)(226, 410)(227, 411)(228, 288)(229, 285)(230, 414)(231, 415)(232, 284)(234, 338)(235, 339)(238, 343)(239, 342)(249, 364)(252, 361)(253, 368)(256, 365)(258, 340)(259, 344)(262, 337)(263, 341)(266, 502)(267, 503)(270, 498)(271, 499)(273, 425)(276, 432)(277, 429)(280, 428)(282, 329)(283, 333)(286, 332)(287, 336)(290, 485)(291, 481)(294, 488)(295, 484)(297, 347)(300, 351)(301, 346)(304, 350)(306, 349)(307, 345)(310, 352)(311, 348)(321, 377)(324, 384)(325, 381)(328, 380)(330, 409)(331, 413)(334, 416)(335, 412)(354, 426)(355, 427)(358, 431)(359, 430)(369, 505)(372, 512)(373, 509)(376, 508)(386, 475)(387, 474)(390, 478)(391, 479)(394, 483)(395, 482)(398, 486)(399, 487)(402, 438)(403, 439)(406, 434)(407, 435)(417, 456)(420, 453)(421, 452)(424, 449)(441, 457)(444, 464)(445, 461)(448, 460)(465, 492)(468, 489)(469, 496)(472, 493)
b: (4, 8)(6, 7)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16, 32)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(97, 201)(98, 202)(99, 203)(100, 204)(101, 205)(102, 206)(103, 207)(104, 208)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(129, 154)(130, 153)(131, 157)(132, 159)(133, 155)(134, 160)(135, 156)(136, 158)(145, 265)(146, 266)(147, 267)(148, 268)(149, 269)(150, 270)(151, 271)(152, 272)(161, 195)(162, 197)(163, 193)(164, 198)(165, 194)(166, 196)(167, 200)(168, 199)(177, 181)(178, 179)(209, 329)(210, 330)(211, 331)(212, 332)(213, 333)(214, 334)(215, 335)(216, 336)(217, 345)(218, 346)(219, 347)(220, 348)(221, 349)(222, 350)(223, 351)(224, 352)(225, 254)(226, 252)(227, 256)(228, 250)(229, 255)(230, 249)(231, 253)(232, 251)(241, 369)(242, 370)(243, 371)(244, 372)(245, 373)(246, 374)(247, 375)(248, 376)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(273, 300)(274, 302)(275, 303)(276, 301)(277, 304)(278, 299)(279, 298)(280, 297)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 395)(290, 397)(291, 393)(292, 399)(293, 394)(294, 400)(295, 396)(296, 398)(305, 360)(306, 359)(307, 358)(308, 353)(309, 356)(310, 354)(311, 355)(312, 357)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(337, 378)(338, 377)(339, 381)(340, 382)(341, 379)(342, 380)(343, 384)(344, 383)(361, 450)(362, 449)(363, 453)(364, 454)(365, 451)(366, 452)(367, 456)(368, 455)(401, 471)(402, 472)(403, 468)(404, 467)(405, 470)(406, 469)(407, 465)(408, 466)(417, 485)(418, 483)(419, 482)(420, 488)(421, 481)(422, 487)(423, 486)(424, 484)(425, 489)(426, 490)(427, 491)(428, 492)(429, 493)(430, 494)(431, 495)(432, 496)(457, 461)(458, 459)(476, 480)(478, 479)(497, 507)(498, 509)(499, 505)(500, 510)(501, 506)(502, 508)(503, 512)(504, 511)
c: (1, 3)(2, 5)(4, 7)(6, 8)(9, 10)(11, 13)(12, 14)(15, 16)(17, 375)(18, 376)(19, 372)(20, 370)(21, 374)(22, 369)(23, 373)(24, 371)(25, 26)(27, 29)(28, 30)(31, 32)(33, 511)(34, 512)(35, 508)(36, 506)(37, 510)(38, 505)(39, 509)(40, 507)(41, 247)(42, 248)(43, 244)(44, 242)(45, 246)(46, 241)(47, 245)(48, 243)(49, 470)(50, 468)(51, 472)(52, 467)(53, 471)(54, 469)(55, 465)(56, 466)(57, 207)(58, 208)(59, 204)(60, 202)(61, 206)(62, 201)(63, 205)(64, 203)(65, 67)(66, 69)(68, 71)(70, 72)(73, 504)(74, 503)(75, 502)(76, 501)(77, 500)(78, 499)(79, 498)(80, 497)(81, 491)(82, 493)(83, 489)(84, 495)(85, 490)(86, 496)(87, 492)(88, 494)(89, 91)(90, 93)(92, 95)(94, 96)(97, 126)(98, 124)(99, 128)(100, 123)(101, 127)(102, 125)(103, 121)(104, 122)(105, 405)(106, 403)(107, 402)(108, 404)(109, 401)(110, 406)(111, 407)(112, 408)(113, 114)(115, 117)(116, 118)(119, 120)(129, 318)(130, 316)(131, 320)(132, 315)(133, 319)(134, 317)(135, 313)(136, 314)(137, 139)(138, 141)(140, 143)(142, 144)(145, 345)(146, 346)(147, 347)(148, 352)(149, 349)(150, 351)(151, 350)(152, 348)(153, 436)(154, 438)(155, 439)(156, 433)(157, 440)(158, 434)(159, 435)(160, 437)(161, 162)(163, 165)(164, 166)(167, 168)(169, 427)(170, 429)(171, 425)(172, 431)(173, 426)(174, 432)(175, 428)(176, 430)(177, 179)(178, 181)(180, 183)(182, 184)(185, 187)(186, 189)(188, 191)(190, 192)(193, 194)(195, 197)(196, 198)(199, 200)(209, 210)(211, 213)(212, 214)(215, 216)(217, 265)(218, 266)(219, 267)(220, 272)(221, 269)(222, 271)(223, 270)(224, 268)(225, 226)(227, 229)(228, 230)(231, 232)(233, 234)(235, 237)(236, 238)(239, 240)(249, 250)(251, 253)(252, 254)(255, 256)(257, 258)(259, 261)(260, 262)(263, 264)(273, 354)(274, 353)(275, 357)(276, 358)(277, 355)(278, 356)(279, 360)(280, 359)(281, 283)(282, 285)(284, 287)(286, 288)(289, 291)(290, 293)(292, 295)(294, 296)(297, 306)(298, 305)(299, 309)(300, 310)(301, 307)(302, 308)(303, 312)(304, 311)(321, 322)(323, 325)(324, 326)(327, 328)(329, 330)(331, 333)(332, 334)(335, 336)(337, 339)(338, 341)(340, 343)(342, 344)(361, 363)(362, 365)(364, 367)(366, 368)(377, 379)(378, 381)(380, 383)(382, 384)(385, 386)(387, 389)(388, 390)(391, 392)(393, 395)(394, 397)(396, 399)(398, 400)(409, 411)(410, 413)(412, 415)(414, 416)(417, 418)(419, 421)(420, 422)(423, 424)(441, 442)(443, 445)(444, 446)(447, 448)(449, 451)(450, 453)(452, 455)(454, 456)(457, 459)(458, 461)(460, 463)(462, 464)(473, 475)(474, 477)(476, 479)(478, 480)(481, 482)(483, 485)(484, 486)(487, 488)
d: (1, 4)(2, 6)(3, 7)(5, 8)(9, 16)(10, 15)(11, 14)(12, 13)(17, 373)(18, 371)(19, 370)(20, 372)(21, 369)(22, 374)(23, 375)(24, 376)(25, 325)(26, 323)(27, 322)(28, 324)(29, 321)(30, 326)(31, 327)(32, 328)(33, 509)(34, 507)(35, 506)(36, 508)(37, 505)(38, 510)(39, 511)(40, 512)(41, 44)(42, 46)(43, 47)(45, 48)(49, 465)(50, 466)(51, 467)(52, 472)(53, 469)(54, 471)(55, 470)(56, 468)(57, 64)(58, 63)(59, 62)(60, 61)(65, 449)(66, 450)(67, 451)(68, 456)(69, 453)(70, 455)(71, 454)(72, 452)(73, 499)(74, 501)(75, 497)(76, 503)(77, 498)(78, 504)(79, 500)(80, 502)(81, 492)(82, 494)(83, 495)(84, 489)(85, 496)(86, 490)(87, 491)(88, 493)(89, 381)(90, 379)(91, 378)(92, 380)(93, 377)(94, 382)(95, 383)(96, 384)(97, 104)(98, 103)(99, 102)(100, 101)(105, 406)(106, 404)(107, 408)(108, 403)(109, 407)(110, 405)(111, 401)(112, 402)(113, 120)(114, 119)(115, 118)(116, 117)(121, 124)(122, 126)(123, 127)(125, 128)(129, 132)(130, 134)(131, 135)(133, 136)(137, 363)(138, 365)(139, 361)(140, 366)(141, 362)(142, 364)(143, 368)(144, 367)(145, 148)(146, 150)(147, 151)(149, 152)(153, 434)(154, 433)(155, 437)(156, 438)(157, 435)(158, 436)(159, 440)(160, 439)(161, 164)(162, 166)(163, 167)(165, 168)(169, 172)(170, 174)(171, 175)(173, 176)(177, 180)(178, 182)(179, 183)(181, 184)(185, 338)(186, 337)(187, 341)(188, 343)(189, 339)(190, 344)(191, 340)(192, 342)(193, 424)(194, 423)(195, 422)(196, 421)(197, 420)(198, 419)(199, 418)(200, 417)(201, 204)(202, 206)(203, 207)(205, 208)(209, 249)(210, 250)(211, 251)(212, 256)(213, 253)(214, 255)(215, 254)(216, 252)(217, 271)(218, 272)(219, 268)(220, 266)(221, 270)(222, 265)(223, 269)(224, 267)(225, 228)(226, 230)(227, 231)(229, 232)(233, 258)(234, 257)(235, 261)(236, 263)(237, 259)(238, 264)(239, 260)(240, 262)(241, 248)(242, 247)(243, 246)(244, 245)(273, 280)(274, 279)(275, 278)(276, 277)(281, 288)(282, 287)(283, 286)(284, 285)(289, 296)(290, 295)(291, 294)(292, 293)(297, 304)(298, 303)(299, 302)(300, 301)(305, 312)(306, 311)(307, 310)(308, 309)(313, 320)(314, 319)(315, 318)(316, 317)(329, 336)(330, 335)(331, 334)(332, 333)(345, 352)(346, 351)(347, 350)(348, 349)(353, 360)(354, 359)(355, 358)(356, 357)(385, 388)(386, 390)(387, 391)(389, 392)(393, 396)(394, 398)(395, 399)(397, 400)(409, 412)(410, 414)(411, 415)(413, 416)(425, 428)(426, 430)(427, 431)(429, 432)(441, 444)(442, 446)(443, 447)(445, 448)(457, 464)(458, 463)(459, 462)(460, 461)(473, 480)(474, 479)(475, 478)(476, 477)(481, 488)(482, 487)(483, 486)(484, 485)
e: (4, 478)(6, 476)(7, 480)(8, 479)(9, 25)(10, 26)(11, 27)(12, 262)(13, 29)(14, 260)(15, 264)(16, 263)(20, 493)(22, 491)(23, 490)(24, 489)(28, 390)(30, 388)(31, 392)(32, 391)(33, 121)(34, 122)(35, 123)(36, 300)(37, 125)(38, 302)(39, 303)(40, 304)(44, 429)(46, 427)(47, 426)(48, 425)(49, 97)(50, 98)(51, 99)(52, 309)(53, 101)(54, 307)(55, 306)(56, 305)(57, 73)(58, 74)(59, 75)(60, 403)(61, 77)(62, 405)(63, 401)(64, 402)(68, 142)(70, 140)(71, 144)(72, 143)(76, 273)(78, 274)(79, 275)(80, 277)(81, 369)(82, 370)(83, 371)(85, 373)(89, 185)(90, 186)(91, 187)(92, 379)(93, 189)(94, 381)(95, 377)(96, 378)(100, 508)(102, 510)(103, 511)(104, 512)(105, 201)(106, 202)(107, 203)(108, 356)(109, 205)(110, 358)(111, 359)(112, 360)(113, 321)(114, 322)(115, 323)(116, 236)(117, 325)(118, 238)(119, 239)(120, 240)(124, 468)(126, 470)(127, 471)(128, 472)(129, 130)(131, 133)(132, 147)(134, 149)(135, 145)(136, 146)(148, 150)(151, 152)(153, 154)(155, 157)(156, 265)(158, 266)(159, 267)(160, 269)(161, 249)(162, 250)(163, 251)(164, 420)(165, 253)(166, 422)(167, 423)(168, 424)(169, 241)(170, 242)(171, 243)(173, 245)(177, 461)(178, 459)(179, 458)(181, 457)(188, 341)(190, 339)(191, 338)(192, 337)(193, 232)(194, 231)(195, 230)(196, 487)(197, 228)(198, 488)(199, 484)(200, 486)(204, 502)(206, 500)(207, 504)(208, 503)(209, 225)(210, 226)(211, 227)(212, 483)(213, 229)(214, 485)(215, 481)(216, 482)(217, 433)(218, 434)(219, 435)(220, 222)(221, 437)(223, 224)(233, 441)(234, 442)(235, 443)(237, 445)(252, 330)(254, 329)(255, 333)(256, 331)(257, 385)(258, 386)(259, 387)(261, 389)(268, 270)(271, 272)(276, 406)(278, 404)(279, 408)(280, 407)(281, 410)(282, 409)(283, 413)(284, 291)(285, 411)(286, 293)(287, 289)(288, 290)(292, 400)(294, 399)(295, 398)(296, 396)(297, 465)(298, 466)(299, 467)(301, 469)(308, 505)(310, 506)(311, 507)(312, 509)(313, 345)(314, 346)(315, 347)(316, 318)(317, 349)(319, 320)(324, 444)(326, 446)(327, 447)(328, 448)(332, 418)(334, 417)(335, 421)(336, 419)(340, 382)(342, 380)(343, 384)(344, 383)(348, 350)(351, 352)(353, 499)(354, 501)(355, 497)(357, 498)(361, 449)(362, 450)(363, 451)(365, 453)(393, 412)(394, 414)(395, 415)(397, 416)(436, 438)(439, 440)
f: (1, 2, 460, 462)(3, 464, 463, 5)(4, 7, 461, 458)(6, 457, 459, 8)(9, 19, 13, 18)(10, 376, 11, 372)(12, 22, 16, 23)(14, 373, 15, 369)(17, 447, 21, 446)(20, 443, 24, 442)(25, 43, 29, 42)(26, 248, 27, 244)(28, 46, 32, 47)(30, 245, 31, 241)(33, 471, 512, 51)(34, 53, 511, 472)(35, 49, 510, 468)(36, 467, 505, 54)(37, 470, 508, 50)(38, 52, 506, 469)(39, 56, 507, 465)(40, 466, 509, 55)(41, 327, 45, 326)(44, 323, 48, 322)(57, 127, 208, 99)(58, 101, 207, 128)(59, 97, 206, 124)(60, 123, 201, 102)(61, 126, 204, 98)(62, 100, 202, 125)(63, 104, 203, 121)(64, 122, 205, 103)(65, 90, 456, 382)(66, 380, 455, 89)(67, 384, 454, 93)(68, 95, 449, 378)(69, 91, 452, 383)(70, 377, 450, 96)(71, 381, 451, 92)(72, 94, 453, 379)(73, 401, 503, 107)(74, 109, 504, 402)(75, 105, 500, 403)(76, 404, 499, 110)(77, 405, 502, 106)(78, 108, 501, 406)(79, 112, 497, 407)(80, 408, 498, 111)(81, 388, 85, 392)(82, 113, 83, 117)(84, 385, 88, 389)(86, 120, 87, 116)(114, 493, 115, 489)(118, 492, 119, 496)(129, 254, 133, 255)(130, 209, 131, 213)(132, 250, 136, 251)(134, 216, 135, 212)(137, 186, 367, 340)(138, 342, 368, 185)(139, 343, 364, 189)(140, 191, 362, 337)(141, 187, 366, 344)(142, 338, 361, 192)(143, 339, 365, 188)(144, 190, 363, 341)(145, 418, 149, 419)(146, 193, 147, 197)(148, 423, 152, 422)(150, 200, 151, 196)(153, 329, 157, 333)(154, 225, 155, 229)(156, 332, 160, 336)(158, 232, 159, 228)(161, 219, 165, 218)(162, 266, 163, 267)(164, 222, 168, 223)(166, 270, 167, 271)(169, 260, 173, 264)(170, 233, 171, 237)(172, 257, 176, 261)(174, 240, 175, 236)(177, 178, 478, 476)(179, 479, 480, 181)(180, 183, 475, 473)(182, 474, 477, 184)(194, 346, 195, 347)(198, 350, 199, 351)(210, 316, 211, 320)(214, 313, 215, 317)(217, 481, 221, 485)(220, 484, 224, 488)(226, 438, 227, 439)(230, 435, 231, 434)(234, 429, 235, 425)(238, 428, 239, 432)(242, 321, 243, 325)(246, 328, 247, 324)(249, 315, 253, 314)(252, 318, 256, 319)(258, 431, 259, 430)(262, 427, 263, 426)(265, 483, 269, 482)(268, 486, 272, 487)(273, 299, 353, 307)(274, 309, 354, 301)(275, 305, 355, 297)(276, 302, 356, 310)(277, 298, 357, 306)(278, 308, 358, 300)(279, 312, 359, 304)(280, 303, 360, 311)(281, 283, 409, 411)(282, 413, 410, 285)(284, 286, 416, 415)(287, 412, 414, 288)(289, 291, 394, 397)(290, 395, 393, 293)(292, 294, 399, 400)(295, 398, 396, 296)(330, 436, 331, 440)(334, 433, 335, 437)(345, 421, 349, 417)(348, 424, 352, 420)(370, 441, 371, 445)(374, 448, 375, 444)(386, 495, 387, 494)(390, 491, 391, 490)
g: (2, 462)(3, 463)(4, 8)(6, 458)(7, 459)(9, 17)(10, 374)(11, 375)(12, 24)(13, 21)(14, 370)(15, 371)(16, 20)(18, 447)(19, 446)(22, 443)(23, 442)(25, 41)(26, 246)(27, 247)(28, 48)(29, 45)(30, 242)(31, 243)(32, 44)(33, 49)(34, 470)(35, 471)(36, 56)(37, 53)(38, 466)(39, 467)(40, 52)(42, 327)(43, 326)(46, 323)(47, 322)(50, 511)(51, 510)(54, 507)(55, 506)(57, 97)(58, 126)(59, 127)(60, 104)(61, 101)(62, 122)(63, 123)(64, 100)(65, 89)(66, 382)(67, 383)(68, 96)(69, 93)(70, 378)(71, 379)(72, 92)(73, 105)(74, 405)(75, 401)(76, 112)(77, 109)(78, 408)(79, 404)(80, 108)(81, 113)(82, 388)(83, 392)(84, 120)(85, 117)(86, 385)(87, 389)(88, 116)(90, 455)(91, 454)(94, 451)(95, 450)(98, 207)(99, 206)(102, 203)(103, 202)(106, 504)(107, 500)(110, 497)(111, 501)(114, 490)(115, 491)(118, 495)(119, 494)(121, 201)(124, 208)(125, 205)(128, 204)(129, 209)(130, 254)(131, 255)(132, 216)(133, 213)(134, 250)(135, 251)(136, 212)(137, 185)(138, 340)(139, 344)(140, 192)(141, 189)(142, 337)(143, 341)(144, 188)(145, 193)(146, 418)(147, 419)(148, 200)(149, 197)(150, 423)(151, 422)(152, 196)(153, 225)(154, 329)(155, 333)(156, 232)(157, 229)(158, 332)(159, 336)(160, 228)(161, 217)(162, 269)(163, 265)(164, 224)(165, 221)(166, 272)(167, 268)(168, 220)(169, 233)(170, 260)(171, 264)(172, 240)(173, 237)(174, 257)(175, 261)(176, 236)(178, 476)(179, 480)(180, 184)(182, 473)(183, 477)(186, 368)(187, 364)(190, 365)(191, 361)(194, 349)(195, 345)(198, 352)(199, 348)(210, 319)(211, 318)(214, 315)(215, 314)(218, 481)(219, 485)(222, 484)(223, 488)(226, 440)(227, 436)(230, 433)(231, 437)(234, 426)(235, 427)(238, 431)(239, 430)(241, 321)(244, 328)(245, 325)(248, 324)(249, 313)(252, 320)(253, 317)(256, 316)(258, 428)(259, 432)(262, 425)(263, 429)(266, 483)(267, 482)(270, 486)(271, 487)(273, 305)(274, 298)(275, 299)(276, 312)(277, 309)(278, 303)(279, 302)(280, 308)(281, 285)(282, 411)(283, 410)(286, 415)(287, 414)(289, 293)(290, 397)(291, 393)(294, 400)(295, 396)(297, 353)(300, 360)(301, 357)(304, 356)(306, 354)(307, 355)(310, 359)(311, 358)(330, 439)(331, 438)(334, 435)(335, 434)(338, 362)(339, 363)(342, 367)(343, 366)(346, 421)(347, 417)(350, 424)(351, 420)(369, 441)(372, 448)(373, 445)(376, 444)(377, 449)(380, 456)(381, 453)(384, 452)(386, 492)(387, 496)(390, 489)(391, 493)(394, 395)(402, 502)(403, 503)(406, 498)(407, 499)(409, 413)(457, 461)(465, 505)(468, 512)(469, 509)(472, 508)(474, 475)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

**************

&Graph
C4[ 512, 244 ]
512
-1 25 17 41 9
-2 447 19 327 43
-3 375 26 247 10
-4 44 16 325 373
-5 244 448 328 372
-6 47 443 370 31
-7 242 23 15 323
-8 245 445 20 32
-9 33 1 89 57
-10 3 91 511 207
-11 34 463 58 383
-12 92 40 205 461
-13 380 512 460 208
-14 507 95 458 63
-15 378 203 39 7
-16 509 4 381 64
-17 1 49 97 65
-18 99 462 455 51
-19 66 2 127 471
-20 100 453 469 8
-21 124 456 468 460
-22 103 466 71 458
-23 55 451 122 7
-24 125 72 457 52
-25 121 1 73 185
-26 187 3 103 504
-27 122 463 344 74
-28 188 101 80 457
-29 342 104 503 460
-30 497 191 127 459
-31 99 79 6 337
-32 498 128 8 339
-33 81 193 129 9
-34 11 319 490 195
-35 419 82 446 130
-36 88 441 196 317
-37 320 489 448 417
-38 495 199 135 443
-39 15 423 315 87
-40 12 496 420 136
-41 1 201 137 105
-42 462 203 368 107
-43 2 401 138 63
-44 363 4 204 406
-45 367 60 403 460
-46 143 408 459 207
-47 111 365 58 6
-48 144 61 108 461
-49 209 145 113 17
-50 374 211 115 349
-51 255 146 18 392
-52 24 387 212 351
-53 390 347 372 252
-54 385 215 370 151
-55 352 23 250 119
-56 253 116 369 152
-57 9 251 153 241
-58 11 440 47 249
-59 154 242 446 216
-60 45 255 445 160
-61 48 214 448 439
-62 442 433 247 252
-63 209 14 159 43
-64 211 16 434 248
-65 17 161 249 174
-66 176 215 19 481
-67 375 432 162 250
-68 168 213 171 369
-69 430 216 372 482
-70 484 255 169 371
-71 22 167 211 425
-72 24 486 256 427
-73 154 25 169 163
-74 27 161 426 439
-75 170 326 482 153
-76 176 166 321 437
-77 440 485 425 328
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-79 486 435 31 175
-80 432 158 488 28
-81 33 177 305 142
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-84 308 368 184 505
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-87 367 39 303 183
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-90 315 447 240 219
-91 265 135 258 10
-92 12 235 270 316
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-94 319 442 272 263
-95 14 223 237 130
-96 220 264 133 441
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-98 374 323 227 317
-99 333 136 18 31
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-101 330 28 315 372
-102 133 332 327 371
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-105 265 233 41 329
-106 221 331 235 246
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-109 244 226 262 219
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-111 47 224 228 239
-112 231 236 272 241
-113 177 49 337 273
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-116 56 475 360 340
-117 353 191 478 468
-118 473 343 279 466
-119 55 189 183 359
-120 465 180 280 186
-121 232 25 369 130
-122 23 320 27 230
-123 336 326 370 129
-124 134 325 229 21
-125 319 24 334 328
-126 375 322 313 226
-127 132 19 30 329
-128 331 376 314 32
-129 33 123 377 281
-130 121 35 410 95
-131 378 510 104 282
-132 288 509 93 127
-133 409 102 512 96
-134 506 124 414 383
-135 287 91 38 97
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0

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