C4graphGraph forms for C4 [ 512, 524 ] = SS[512,57]

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On this page are computer-accessible forms for the graph C4[ 512, 524 ] = SS[512,57].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {234, 235} under the group generated by the following permutations:

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

(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, 524 ]
512
-1 2 3 4 5
-2 1 510 501 504
-3 1 509 502 503
-4 1 508 512 505
-5 506 1 507 511
-6 11 12 13 8
-7 14 15 9 10
-8 6 194 195 449
-9 191 192 7 450
-10 198 452 7 197
-11 451 6 193 196
-12 6 457 172 458
-13 456 6 171 460
-14 453 7 459 174
-15 454 455 7 173
-16 121 122 119 120
-17 323 115 324 118
-18 116 325 117 326
-19 319 112 322 114
-20 111 320 321 113
-21 110 107 108 109
-22 179 30 184 185
-23 190 182 183 31
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0

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