C4graphGraph forms for C4 [ 512, 541 ] = SS[512,74]

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On this page are computer-accessible forms for the graph C4[ 512, 541 ] = SS[512,74].

(I) Following is a form readable by MAGMA:

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

(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, 541 ]
512
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-2 1 509 501 502
-3 1 510 503 504
-4 1 507 508 512
-5 506 1 511 505
-6 343 344 338 339
-7 341 342 337 340
-8 13 333 15 21
-9 22 14 335 17
-10 24 16 336 20
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-14 122 170 445 9
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-306 97 153 186 439
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-322 190 404 86 461
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-326 463 90 402 186
-327 88 188 398 464
-328 397 463 189 85
-329 377 93 170 171
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-336 12 400 401 10
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-339 440 137 6 392
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-347 419 431 158 130
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-352 154 430 135 415
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-357 385 390 107 120
-358 114 105 381 395
-359 387 106 117 393
-360 113 388 389 104
-361 408 46 103 424
-362 44 411 106 425
-363 45 104 412 427
-364 409 47 422 107
-365 410 49 423 108
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-367 101 42 406 428
-368 105 426 405 43
-369 377 388 92 184
-370 387 91 377 183
-371 378 181 86 384
-372 385 89 177 378
-373 88 180 380 381
-374 182 380 85 382
-375 386 179 379 87
-376 90 178 379 383
-377 497 369 370 329
-378 330 498 371 372
-379 375 332 376 500
-380 374 331 499 373
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0

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