C4graphGraph forms for C4 [ 512, 559 ] = SS[512,94]

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On this page are computer-accessible forms for the graph C4[ 512, 559 ] = SS[512,94].

(I) Following is a form readable by MAGMA:

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

(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, 559 ]
512
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-2 1 512 502 505
-3 506 1 511 501
-4 1 508 509 503
-5 1 507 510 504
-6 341 342 343 340
-7 332 333 336 337
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-15 224 27 215 75
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-37 24 81 60 215
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-245 12 287 291 271
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-251 99 297 265 289
-252 101 299 267 291
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-266 253 258 459 406
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0

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