C4graphGraph forms for C4 [ 512, 660 ] = SS[512,214]

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On this page are computer-accessible forms for the graph C4[ 512, 660 ] = SS[512,214].

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

(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, 660 ]
512
-1 2 3 4 5
-2 506 1 509 503
-3 1 508 511 501
-4 1 507 512 502
-5 1 510 504 505
-6 440 23 456 31
-7 24 443 457 32
-8 33 440 24 458
-9 23 36 443 459
-10 441 35 26 461
-11 462 34 441 25
-12 442 25 37 460
-13 463 442 26 38
-14 356 357 358 359
-15 113 115 117 119
-16 112 114 116 118
-17 121 123 124 127
-18 122 125 126 120
-19 132 128 129 130
-20 133 134 135 131
-21 143 136 137 138
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0

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