C4graphGraph forms for C4 [ 512, 117 ] = UG(ATD[512,165])

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On this page are computer-accessible forms for the graph C4[ 512, 117 ] = UG(ATD[512,165]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {26, 27} under the group generated by the following permutations:

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

(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, 117 ]
512
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-2 1 510 16 6
-3 434 17 7 502
-4 462 18 447 8
-5 1 508 50 19
-6 2 51 20 98
-7 23 3 9 21
-8 22 506 4 52
-9 490 7 470 53
-10 23 118 108 54
-11 55 24 454 472
-12 25 478 479 40
-13 473 56 26 455
-14 57 498 27 481
-15 442 48 28 471
-16 2 58 113 119
-17 100 3 32 120
-18 484 57 4 59
-19 58 5 60 105
-20 121 6 61 161
-21 122 7 62 31
-22 123 37 8 63
-23 69 7 64 10
-24 11 70 29 65
-25 66 12 71 30
-26 506 13 27 76
-27 67 14 124 26
-28 111 68 15 106
-29 24 475 84 504
-30 442 25 125 480
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-32 69 82 17 127
-33 35 70 83 128
-34 78 71 106 43
-35 33 36 444 504
-36 35 72 129 173
-37 22 498 499 97
-38 496 489 73 117
-39 45 477 40 471
-40 12 68 39 74
-41 485 101 500 75
-42 59 499 76 505
-43 34 80 477 480
-44 77 497 488 109
-45 78 81 39 86
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-47 80 48 479 438
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-49 82 424 490 31
-50 177 46 5 51
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-52 124 103 8 131
-53 88 110 90 9
-54 112 91 179 10
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-57 132 123 14 18
-58 133 16 19 130
-59 134 18 42 131
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-62 90 136 138 21
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-67 27 97 141 185
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-69 143 23 32 153
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-72 144 36 146 84
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-80 47 168 74 43
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-82 90 49 118 32
-83 33 159 503 472
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-87 487 93 489 75
-88 114 53 64 186
-89 102 170 173 65
-90 91 82 62 53
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-92 55 154 188 159
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-95 93 491 96 483
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-120 122 179 114 17
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-135 133 232 61 196
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-160 104 194 141 76
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-165 189 158 115 107
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-167 159 171 84 139
-168 176 145 80 125
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-170 89 188 146 169
-171 167 223 128 207
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-175 169 84 437 503
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-177 180 50 227 164
-178 275 181 51 151
-179 183 54 120 230
-180 177 60 193 261
-181 276 178 61 239
-182 124 235 63 240
-183 277 179 214 64
-184 215 237 129 65
-185 67 123 234 241
-186 88 187 126 229
-187 199 91 278 186
-188 200 92 170 238
-189 165 93 226 217
-190 121 242 239 130
-191 243 123 240 131
-192 132 244 124 241
-193 180 279 130 196
-194 198 244 160 131
-195 132 243 134 202
-196 135 245 280 193
-197 136 246 248 153
-198 137 247 281 194
-199 187 138 248 282
-200 188 139 249 283
-201 258 140 250 152
-202 195 141 251 284
-203 148 262 142 252
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-208 265 156 147 257
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-210 155 266 149 259
-211 145 269 150 260
-212 221 151 228 261
-213 150 152 262 273
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-215 154 264 286 184
-216 155 265 157 274
-217 156 189 266 267
-218 157 267 158 270
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-220 269 250 163 142
-221 133 212 161 164
-222 166 147 259 270
-223 154 171 249 271
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-225 176 255 163 273
-226 166 189 268 274
-227 231 275 177 119
-228 121 232 212 323
-229 122 233 277 186
-230 179 278 236 127
-231 242 133 309 227
-232 287 135 324 228
-233 253 136 325 229
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-235 289 182 281 141
-236 143 246 326 230
-237 146 184 272 283
-238 286 188 256 172
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-243 191 247 292 195
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-245 242 293 196 328
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-252 300 203 206 317
-253 233 332 301 204
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-255 308 225 303 206
-256 333 238 304 207
-257 305 208 219 318
-258 209 201 300 306
-259 210 222 316 307
-260 209 308 211 310
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-263 311 214 204 294
-264 319 312 215 205
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-266 210 314 217 305
-267 313 315 217 218
-268 226 315 316 219
-269 220 211 321 317
-270 222 322 218 318
-271 319 223 224 304
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-273 321 213 225 306
-274 322 226 314 216
-275 178 279 323 227
-276 181 280 261 371
-277 183 282 326 229
-278 187 325 230 285
-279 275 290 357 193
-280 276 335 196 372
-281 198 331 235 336
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-283 200 333 312 237
-284 330 234 202 337
-285 374 278 214 296
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-288 234 336 240 339
-289 235 337 241 340
-290 375 279 293 239
-291 244 240 295 340
-292 243 299 339 241
-293 341 376 245 290
-294 342 344 246 263
-295 343 377 247 291
-296 344 378 248 285
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-299 292 347 380 251
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-303 255 348 250 351
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-306 354 356 258 273
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-311 282 359 381 263
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-313 265 267 370 361
-314 363 266 274 362
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-316 353 364 268 259
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-318 355 366 257 270
-319 264 345 367 271
-320 254 367 368 272
-321 269 369 273 351
-322 364 270 370 274
-323 275 228 327 371
-324 232 309 419 328
-325 233 278 329 373
-326 374 277 332 236
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-328 420 245 324 383
-329 421 246 325 349
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-331 385 377 281 251
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-333 256 368 379 283
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-336 288 387 281 384
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-361 409 313 403 305
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-371 276 375 419 323
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-381 374 311 392 469
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-383 431 335 434 328
-384 330 432 336 435
-385 331 433 337 436
-386 375 389 335 470
-387 336 391 436 340
-388 435 337 339 395
-389 110 341 386 116
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-391 343 387 438 471
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-393 440 473 345 382
-394 441 346 358 449
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-396 354 453 443 348
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-399 443 346 446 351
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-401 353 456 448 362
-402 451 354 369 449
-403 355 457 361 450
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-419 466 324 423 371
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-421 374 468 425 329
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-424 341 100 420 49
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-434 3 423 116 383
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-456 409 488 401 492
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-459 418 495 412 494
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-461 497 411 501 414
-462 498 4 415 416
-463 429 506 499 416
-464 487 500 406 417
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-466 419 502 470 372
-467 110 452 376 118
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-469 475 422 381 503
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-471 15 39 391 427
-472 11 83 468 392
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-477 432 39 426 43
-478 12 433 106 427
-479 12 47 432 436
-480 433 435 30 43
-481 440 14 476 103
-482 99 441 453 107
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-484 440 56 445 18
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-486 507 508 457 448
-487 464 107 449 87
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-489 451 38 446 87
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-492 508 456 512 458
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-494 1 511 458 459
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-502 420 3 466 118
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-507 495 46 486 113
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-509 46 488 493 98
-510 77 495 2 501
-511 497 113 105 494
-512 105 501 492 98
0

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