C4graphGraph forms for C4 [ 512, 551 ] = SS[512,84]

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On this page are computer-accessible forms for the graph C4[ 512, 551 ] = SS[512,84].

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

(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, 551 ]
512
-1 2 3 4 5
-2 1 509 501 505
-3 506 1 510 502
-4 1 507 512 504
-5 1 508 511 503
-6 11 13 17 18
-7 12 14 15 16
-8 25 26 19 21
-9 22 23 24 20
-10 356 357 358 359
-11 212 6 204 172
-12 215 7 205 175
-13 211 6 174 218
-14 179 7 216 206
-15 177 210 7 217
-16 176 214 7 207
-17 213 6 173 208
-18 209 178 6 219
-19 182 193 172 8
-20 176 189 183 9
-21 190 8 174 185
-22 177 188 181 9
-23 179 180 195 9
-24 194 9 175 186
-25 178 192 8 184
-26 187 191 8 173
-27 128 129 130 131
-28 221 92 228 428
-29 231 429 222 93
-30 233 91 223 427
-31 88 224 426 229
-32 89 232 225 425
-33 430 94 227 230
-34 90 431 235 226
-35 220 234 424 95
-36 67 57 360 371
-37 58 366 369 64
-38 55 61 361 373
-39 60 368 54 362
-40 363 62 53 372
-41 66 56 364 370
-42 375 59 367 63
-43 374 365 52 65
-44 78 199 244 442
-45 441 81 203 248
-46 198 441 246 76
-47 440 79 200 245
-48 201 443 83 251
-49 80 443 249 197
-50 77 442 202 247
-51 440 82 250 196
-52 68 90 182 43
-53 187 71 40 95
-54 69 92 39 186
-55 38 94 75 185
-56 89 70 180 41
-57 36 93 73 184
-58 91 37 72 183
-59 88 181 74 42
-60 189 431 81 39
-61 78 38 192 428
-62 82 193 40 427
-63 77 424 195 42
-64 429 80 37 194
-65 191 83 425 43
-66 188 430 79 41
-67 36 190 426 76
-68 113 136 52 360
-69 133 114 367 54
-70 56 366 137 116
-71 112 138 53 361
-72 364 58 115 139
-73 132 57 365 119
-74 134 59 118 362
-75 55 363 135 117
-76 67 46 146 125
-77 121 50 63 142
-78 44 122 61 140
-79 66 143 47 124
-80 49 126 64 141
-81 45 147 60 127
-82 123 145 51 62
-83 144 48 65 120
-84 358 106 128 108
-85 356 104 105 129
-86 357 107 130 109
-87 110 111 359 131
-88 112 59 107 31
-89 56 104 117 32
-90 34 116 52 109
-91 58 106 30 119
-92 110 113 28 54
-93 57 105 29 118
-94 33 55 114 108
-95 111 35 115 53
-96 234 432 170 225
-97 231 166 221 434
-98 165 222 433 228
-99 435 227 229 164
-100 167 224 437 230
-101 233 171 226 439
-102 168 223 235 436
-103 220 232 169 438
-104 89 166 463 85
-105 462 169 93 85
-106 167 91 84 460
-107 88 168 86 460
-108 94 171 84 461
-109 90 86 164 461
-110 463 92 170 87
-111 165 462 95 87
-112 88 212 71 161
-113 68 92 213 162
-114 69 157 214 94
-115 72 160 215 95
-116 90 70 158 217
-117 89 75 163 219
-118 93 159 216 74
-119 156 91 73 218
-120 168 83 448 207
-121 77 211 449 164
-122 78 210 167 450
-123 451 82 170 206
-124 79 453 169 208
-125 166 455 205 76
-126 452 80 171 204
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0

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