C4graphGraph forms for C4 [ 512, 606 ] = SS[512,143]

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On this page are computer-accessible forms for the graph C4[ 512, 606 ] = SS[512,143].

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

(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, 606 ]
512
-1 2 3 4 5
-2 1 511 501 502
-3 1 512 503 504
-4 506 1 509 505
-5 1 507 508 510
-6 112 113 108 109
-7 110 111 114 115
-8 122 123 116 117
-9 121 118 119 120
-10 124 129 130 131
-11 125 126 127 128
-12 132 133 135 137
-13 134 136 138 139
-14 143 140 141 142
-15 144 145 146 147
-16 253 254 58 445
-17 256 59 258 446
-18 58 257 444 252
-19 255 59 259 447
-20 89 25 28 85
-21 27 29 84 86
-22 24 90 31 87
-23 88 91 26 30
-24 22 57 434 436
-25 56 432 437 20
-26 23 57 435 439
-27 56 433 438 21
-28 57 425 20 428
-29 429 57 424 21
-30 23 56 431 427
-31 22 56 430 426
-32 36 146 39 140
-33 37 147 38 141
-34 145 41 43 142
-35 143 144 40 42
-36 44 452 32 252
-37 33 253 45 452
-38 33 46 453 257
-39 254 453 49 32
-40 35 47 256 454
-41 34 48 455 258
-42 35 455 50 259
-43 34 255 454 51
-44 36 52 107 98
-45 37 93 106 54
-46 100 92 38 52
-47 102 94 40 53
-48 103 95 41 53
-49 101 39 97 54
-50 55 104 96 42
-51 55 99 105 43
-52 44 46 59 445
-53 47 58 48 447
-54 45 59 444 49
-55 58 50 446 51
-56 25 27 30 31
-57 24 26 28 29
-58 55 16 18 53
-59 17 19 52 54
-60 429 211 249 173
-61 249 426 174 207
-62 210 425 250 175
-63 176 431 206 251
-64 177 430 205 250
-65 209 179 248 428
-66 178 424 251 208
-67 204 248 172 427
-68 198 235 206 449
-69 451 202 239 208
-70 451 234 203 205
-71 209 236 196 450
-72 200 211 237 448
-73 199 232 207 450
-74 233 204 448 197
-75 210 201 238 449
-76 195 240 186 428
-77 429 191 185 241
-78 242 430 193 184
-79 246 181 192 424
-80 187 243 189 427
-81 188 244 431 180
-82 245 183 194 425
-83 190 247 182 426
-84 165 441 202 21
-85 166 441 201 20
-86 440 167 200 21
-87 22 442 168 203
-88 198 23 442 169
-89 440 171 20 196
-90 22 199 443 164
-91 23 443 170 197
-92 46 207 229 153
-93 45 206 228 152
-94 154 47 228 208
-95 211 48 149 229
-96 209 231 148 50
-97 231 155 49 204
-98 44 150 205 230
-99 210 51 151 230
-100 46 157 190 240
-101 156 189 49 241
-102 242 47 192 160
-103 243 48 158 191
-104 247 50 162 195
-105 244 51 194 163
-106 45 188 245 161
-107 44 246 159 193
-108 6 151 173 218
-109 154 179 6 219
-110 215 7 152 174
-111 149 7 217 175
-112 176 212 6 153
-113 155 177 213 6
-114 178 148 7 216
-115 214 7 150 172
-116 221 182 8 152
-117 224 8 151 185
-118 148 181 225 9
-119 155 227 184 9
-120 223 180 9 153
-121 149 226 183 9
-122 187 220 150 8
-123 154 222 8 186
-124 221 159 172 10
-125 11 158 225 175
-126 11 176 157 227
-127 11 177 156 223
-128 11 178 226 162
-129 222 173 163 10
-130 179 224 160 10
-131 220 161 174 10
-132 12 163 185 219
-133 12 156 212 184
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0

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