C4graphGraph forms for C4 [ 512, 242 ] = UG(ATD[512,546])

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On this page are computer-accessible forms for the graph C4[ 512, 242 ] = UG(ATD[512,546]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {176, 179} under the group generated by the following permutations:

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

(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, 242 ]
512
-1 25 17 41 9
-2 276 255 415 428
-3 429 277 16 32
-4 24 410 48 250
-5 22 46 411 251
-6 13 431 279 29
-7 254 414 426 274
-8 12 28 19 43
-9 33 1 89 57
-10 511 127 490 140
-11 506 40 64 141
-12 495 122 8 96
-13 123 6 94 494
-14 143 508 37 61
-15 509 126 138 491
-16 3 36 91 60
-17 1 49 97 65
-18 188 466 511 436
-19 72 8 437 471
-20 506 56 189 104
-21 507 102 192 54
-22 69 5 469 439
-23 510 434 468 185
-24 99 68 4 51
-25 121 1 73 185
-26 68 499 511 63
-27 506 69 80 128
-28 58 192 502 8
-29 190 59 6 503
-30 77 508 125 71
-31 66 498 509 62
-32 187 3 124 76
-33 81 193 129 9
-34 386 268 247 415
-35 88 410 136 269
-36 242 200 16 391
-37 198 243 14 390
-38 133 412 271 85
-39 266 387 246 413
-40 11 132 84 195
-41 1 103 137 105
-42 454 92 511 438
-43 451 144 435 8
-44 506 112 93 98
-45 110 100 507 96
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-48 101 4 107 140
-49 145 113 201 17
-50 330 365 340 428
-51 364 24 335 152
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-55 332 367 337 425
-56 115 148 203 20
-57 254 9 153 241
-58 135 28 415 395
-59 410 160 248 29
-60 398 16 130 251
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-63 134 26 413 394
-64 11 156 244 256
-65 17 161 249 337
-66 148 423 31 428
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-69 22 342 419 27
-70 165 253 431 151
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-72 19 339 164 252
-73 166 25 157 169
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-80 168 27 160 172
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-116 319 240 471 384
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-123 132 13 400 250
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-125 409 159 247 30
-126 397 15 129 252
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-132 123 376 258 40
-133 121 38 259 373
-134 301 63 405 493
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-152 308 191 378 51
-153 78 57 301 313
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-155 122 320 497 300
-156 64 75 372 483
-157 369 62 73 482
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-160 80 59 304 316
-161 77 310 321 65
-162 188 442 345 503
-163 189 447 328 76
-164 352 498 72 307
-165 70 499 305 349
-166 191 445 325 73
-167 444 348 502 186
-168 67 80 312 324
-169 352 178 73 315
-170 233 488 499 328
-171 321 183 502 318
-172 80 345 481 240
-173 484 78 237 347
-174 319 323 182 504
-175 485 497 236 326
-176 179 314 75 350
-177 473 81 226 329
-178 386 114 169 458
-179 176 231 336 391
-180 88 463 480 119
-181 462 478 118 86
-182 333 389 174 230
-183 388 115 171 459
-184 332 475 83 227
-185 23 343 25 417
-186 430 167 255 150
-187 147 424 427 32
-188 18 162 250 338
-189 20 163 251 340
-190 145 421 29 425
-191 166 254 432 152
-192 341 420 28 21
-193 33 324 95 306
-194 446 490 348 142
-195 443 325 40 139
-196 495 90 311 349
-197 352 309 92 494
-198 441 37 137 328
-199 144 345 491 448
-200 308 321 36 93
-201 320 433 49 369
-202 297 100 466 483
-203 440 56 486 304
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-207 299 467 481 97
-208 436 52 371 318
-209 89 441 377 450
-210 309 289 140 109
-211 96 448 108 296
-212 308 455 141 384
-213 144 453 305 382
-214 93 445 106 294
-215 111 312 137 291
-216 452 92 444 379
-217 301 258 97 449
-218 110 408 436 373
-219 104 401 456 372
-220 300 107 437 263
-221 440 298 106 261
-222 101 453 370 403
-223 111 375 433 406
-224 100 452 303 260
-225 234 105 260 384
-226 177 454 296 406
-227 112 377 403 184
-228 451 289 239 261
-229 237 292 263 450
-230 401 182 380 109
-231 408 179 455 293
-232 236 258 381 108
-233 385 113 170 457
-234 330 474 82 225
-235 464 479 87 120
-236 232 335 392 175
-237 334 390 173 229
-238 477 117 85 461
-239 331 476 84 228
-240 387 116 172 460
-241 57 491 261 371
-242 299 36 127 403
-243 374 122 37 260
-244 302 64 406 494
-245 407 496 303 62
-246 375 124 257 39
-247 34 298 125 402
-248 264 59 489 370
-249 497 510 61 65
-250 188 123 4 75
-251 189 5 60 504
-252 78 507 126 72
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0

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