C4graphGraph forms for C4 [ 512, 614 ] = SS[512,157]

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On this page are computer-accessible forms for the graph C4[ 512, 614 ] = SS[512,157].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {1, 3} under the group generated by the following permutations:

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

(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, 614 ]
512
-1 2 3 4 5
-2 1 508 501 512
-3 1 509 502 505
-4 506 1 510 503
-5 1 507 511 504
-6 314 315 316 317
-7 122 123 124 125
-8 121 118 119 120
-9 112 113 326 329
-10 110 111 327 328
-11 110 102 314 326
-12 111 103 315 329
-13 113 105 327 317
-14 112 104 316 328
-15 102 103 104 105
-16 33 30 31 32
-17 18 19 20 21
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-19 55 17 215 65
-20 214 17 62 54
-21 56 17 216 64
-22 187 67 57 193
-23 55 67 190 186
-24 66 56 189 191
-25 66 188 192 54
-26 68 213 52 195
-27 210 68 53 196
-28 211 69 51 194
-29 69 212 50 197
-30 46 16 206 53
-31 209 47 16 50
-32 16 49 52 208
-33 48 16 51 207
-34 47 195 42 185
-35 46 182 43 197
-36 44 48 183 196
-37 45 49 194 184
-38 82 115 335 129
-39 114 334 126 83
-40 127 336 84 117
-41 116 128 337 85
-42 34 101 129 339
-43 99 341 35 126
-44 36 128 338 98
-45 100 37 127 340
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-47 34 96 31 362
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-49 364 37 95 32
-50 122 93 29 31
-51 33 90 123 28
-52 91 26 125 32
-53 124 92 27 30
-54 88 25 20 120
-55 121 23 19 87
-56 89 24 118 21
-57 22 18 86 119
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-59 78 354 81 356
-60 358 75 361 76
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-62 331 81 85 20
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-64 78 332 82 21
-65 330 80 83 19
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-67 22 88 23 89
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-69 91 92 28 29
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-72 453 225 160 207
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-80 58 225 65 153
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-84 198 169 40 63
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-87 55 66 231 149
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-89 56 67 232 148
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-104 144 14 15 137
-105 13 145 135 15
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-113 13 140 9 131
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-120 161 8 54 164
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-179 294 109 263 351
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-183 36 289 311 324
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-185 286 34 310 322
-186 23 278 261 349
-187 22 281 260 348
-188 25 279 258 346
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-190 23 331 256 291
-191 330 254 24 293
-192 25 333 257 292
-193 22 255 332 290
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-195 34 287 26 251
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-197 35 289 29 250
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-200 320 311 85 283
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-208 265 266 73 32
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-211 101 266 301 28
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-215 259 19 272 76
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-220 249 97 306 76
-221 308 247 96 75
-222 242 78 276 70
-223 277 245 81 73
-224 79 244 71 274
-225 275 243 80 72
-226 90 256 270 294
-227 254 92 272 295
-228 297 255 93 271
-229 91 257 273 296
-230 282 250 86 262
-231 253 265 87 285
-232 264 89 283 252
-233 88 251 284 263
-234 309 299 301 307
-235 308 298 300 306
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-237 275 251 252 274
-238 254 257 247 249
-239 255 256 246 248
-240 242 245 278 281
-241 243 244 279 280
-242 222 422 458 240
-243 225 425 459 241
-244 224 423 460 241
-245 223 424 240 461
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-247 221 419 455 238
-248 420 457 239 218
-249 220 421 456 238
-250 236 446 197 230
-251 233 237 195 449
-252 232 237 448 196
-253 231 236 194 447
-254 442 191 227 238
-255 443 193 228 239
-256 190 445 226 239
-257 444 192 238 229
-258 440 188 202 217
-259 189 204 215 438
-260 187 441 203 216
-261 214 205 186 439
-262 178 206 416 230
-263 209 233 179 417
-264 232 181 415 207
-265 231 180 414 208
-266 177 211 411 208
-267 212 413 206 175
-268 210 412 174 207
-269 176 209 410 213
-270 170 214 226 435
-271 216 173 228 437
-272 434 171 215 227
-273 172 436 217 229
-274 430 224 237 131
-275 132 431 225 237
-276 133 222 433 236
-277 223 432 236 130
-278 166 447 240 186
-279 188 169 449 241
-280 189 168 448 241
-281 187 167 446 240
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-283 232 200 435 163
-284 165 233 201 437
-285 198 231 436 164
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-288 441 160 184 196
-289 440 158 183 197
-290 176 156 409 193
-291 154 407 190 174
-292 177 408 157 192
-293 155 191 175 406
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-295 180 227 404 153
-296 178 151 229 405
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-299 443 212 146 234
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-303 143 431 204 173
-304 145 432 171 205
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-313 199 135 182 427
-314 11 398 6 394
-315 12 400 6 395
-316 397 14 401 6
-317 396 13 399 6
-318 199 430 390 205
-319 201 432 204 391
-320 200 202 433 393
-321 198 431 203 392
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-323 400 171 182 425
-324 399 170 424 183
-325 398 423 172 184
-326 11 418 422 9
-327 419 13 423 10
-328 14 421 425 10
-329 12 420 424 9
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-331 190 389 62 406
-332 408 387 193 64
-333 407 388 192 63
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-335 398 455 38 438
-336 441 399 457 40
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-341 397 434 458 43
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-371 421 402 413 395
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-376 409 414 383 427
-377 382 426 406 417
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-381 344 366 487 362
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-384 375 355 345 492
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-386 330 353 485 348
-387 352 332 486 346
-388 333 488 349 350
-389 331 487 347 351
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-391 319 490 359 351
-392 353 321 492 361
-393 352 320 491 360
-394 314 370 339 482
-395 315 338 371 483
-396 484 317 340 373
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-399 324 478 336 317
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-401 322 334 479 316
-402 497 294 371 362
-403 297 365 500 370
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-416 374 496 369 262
-417 495 366 377 263
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-419 247 370 327 493
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-421 496 249 371 328
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-431 275 321 475 303
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-449 355 279 251 483
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-451 478 94 479 95
-452 484 70 73 481
-453 71 72 482 483
-454 485 465 246 334
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-456 487 467 249 337
-457 488 248 336 468
-458 242 341 465 471
-459 243 467 338 472
-460 244 466 469 339
-461 245 468 470 340
-462 489 490 491 492
-463 474 475 465 468
-464 473 476 466 467
-465 463 454 509 458
-466 464 455 510 460
-467 464 456 512 459
-468 463 511 457 461
-469 441 436 460 505
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-471 508 458 437 438
-472 507 434 459 439
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-474 430 463 510 426
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-477 398 442 450 505
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-479 451 508 401 445
-480 507 400 444 450
-481 397 452 501 447
-482 453 502 448 394
-483 453 449 504 395
-484 396 452 446 503
-485 386 454 378 501
-486 387 455 379 502
-487 389 456 381 504
-488 388 380 457 503
-489 462 509 390 382
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-494 506 420 411 415
-495 418 508 413 417
-496 507 421 412 416
-497 422 402 501 406
-498 409 423 502 404
-499 407 425 405 504
-500 408 424 403 503
-501 485 2 497 481
-502 486 3 498 482
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-504 487 499 5 483
-505 3 477 469 493
-506 4 478 470 494
-507 496 5 480 472
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-509 473 3 465 489
-510 474 4 466 490
-511 476 5 468 492
-512 2 475 467 491
0

**************