C4graphGraph forms for C4 [ 512, 530 ] = SS[512,63]

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On this page are computer-accessible forms for the graph C4[ 512, 530 ] = SS[512,63].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {464, 465} under the group generated by the following permutations:

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

(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, 530 ]
512
-1 2 3 4 5
-2 506 1 509 501
-3 1 510 502 505
-4 1 508 512 503
-5 1 507 511 504
-6 11 8 9 10
-7 376 377 378 379
-8 264 268 258 6
-9 266 256 267 6
-10 257 269 6 270
-11 265 6 259 271
-12 148 149 150 151
-13 35 36 37 38
-14 144 145 146 147
-15 35 136 27 128
-16 36 28 138 130
-17 37 29 139 129
-18 33 132 38 141
-19 143 34 36 135
-20 38 137 30 131
-21 133 35 140 32
-22 134 37 31 142
-23 112 123 127 117
-24 114 125 115 120
-25 121 122 113 119
-26 124 126 116 118
-27 289 443 15 53
-28 286 440 16 54
-29 287 441 17 52
-30 55 442 20 285
-31 22 290 445 53
-32 447 284 21 54
-33 288 444 18 52
-34 55 291 446 19
-35 13 15 62 21
-36 13 16 60 19
-37 22 13 17 63
-38 13 61 18 20
-39 40 41 42 43
-40 48 49 39 65
-41 44 66 46 39
-42 45 67 39 51
-43 47 39 50 64
-44 181 41 152 98
-45 182 42 97 153
-46 176 100 156 41
-47 101 158 180 43
-48 155 177 40 96
-49 157 103 40 183
-50 99 154 178 43
-51 102 179 159 42
-52 33 29 84 85
-53 80 27 82 31
-54 81 28 83 32
-55 34 30 86 87
-56 102 380 96 384
-57 385 386 103 98
-58 99 100 387 381
-59 101 382 97 383
-60 88 36 148 95
-61 38 93 94 149
-62 89 35 92 151
-63 90 91 37 150
-64 78 144 73 43
-65 77 145 72 40
-66 146 41 74 76
-67 79 147 42 75
-68 90 72 73 95
-69 79 92 93 74
-70 89 94 75 76
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-73 68 250 64 295
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-80 431 423 53 229
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-118 26 203 269 238
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-120 24 278 249 217
-121 25 223 250 273
-122 277 25 219 252
-123 253 23 272 218
-124 222 255 26 274
-125 276 24 216 251
-126 221 26 279 248
-127 220 275 23 254
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-130 209 220 16 436
-131 213 437 20 219
-132 215 18 218 439
-133 221 212 21 439
-134 22 211 223 438
-135 214 19 217 438
-136 440 15 192 248
-137 253 199 441 20
-138 442 16 193 249
-139 443 17 194 250
-140 198 445 251 21
-141 446 18 195 252
-142 22 255 444 196
-143 254 447 19 197
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-145 221 14 216 65
-146 66 222 14 223
-147 220 67 14 217
-148 187 12 60 185
-149 12 189 190 61
-150 12 188 63 184
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-152 44 210 260 184
-153 209 45 260 185
-154 189 213 50 262
-155 48 191 262 208
-156 188 46 211 261
-157 212 49 186 263
-158 47 190 215 263
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-161 200 192 228 428
-162 198 432 205 229
-163 435 227 206 197
-164 430 202 224 194
-165 431 203 226 196
-166 199 433 207 230
-167 231 201 434 193
-168 247 448 185 230
-169 245 226 448 186
-170 451 246 184 228
-171 242 189 224 450
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-174 188 225 240 449
-175 231 243 191 449
-176 46 233 246 195
-177 232 245 48 193
-178 244 50 194 238
-179 198 236 247 51
-180 242 47 234 197
-181 44 235 192 240
-182 45 199 239 241
-183 243 49 237 196
-184 374 170 150 152
-185 168 148 368 153
-186 157 169 369 151
-187 148 159 370 173
-188 156 150 371 174
-189 154 149 171 372
-190 158 149 172 373
-191 155 375 151 175
-192 355 136 181 161
-193 177 167 138 358
-194 178 357 139 164
-195 176 352 160 141
-196 165 353 183 142
-197 143 354 180 163
-198 179 359 140 162
-199 166 356 137 182
-200 321 116 161 109
-201 167 114 325 106
-202 324 107 119 164
-203 165 111 322 118
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-206 112 327 108 163
-207 110 166 320 117
-208 155 344 106 128
-209 110 345 130 153
-210 346 129 152 109
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-212 111 133 157 350
-213 154 107 131 351
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-215 132 158 349 108
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-217 135 147 338 120
-218 132 144 123 336
-219 122 144 131 340
-220 341 147 127 130
-221 133 145 126 339
-222 343 124 146 129
-223 121 342 134 146
-224 82 368 171 164
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-226 165 169 84 370
-227 81 172 371 163
-228 170 83 161 372
-229 80 162 173 373
-230 166 375 168 85
-231 374 167 87 175
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-233 176 330 103 117
-234 100 331 114 180
-235 99 333 115 181
-236 101 179 334 116
-237 102 335 183 119
-238 178 118 97 329
-239 113 182 96 328
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-241 94 182 173 361
-242 88 180 171 362
-243 363 91 183 175
-244 364 90 178 172
-245 177 169 367 95
-246 176 366 93 170
-247 365 168 179 92
-248 364 136 126 76
-249 72 138 360 120
-250 121 73 139 361
-251 79 125 140 362
-252 363 122 74 141
-253 123 367 137 75
-254 143 78 366 127
-255 77 365 124 142
-256 320 379 326 9
-257 321 376 323 10
-258 377 324 8 327
-259 11 322 378 325
-260 313 314 152 153
-261 156 159 316 318
-262 154 155 315 317
-263 319 157 158 312
-264 332 113 313 8
-265 11 115 314 329
-266 330 114 312 9
-267 112 333 315 9
-268 335 117 8 316
-269 118 317 328 10
-270 319 334 119 10
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0

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