C4graphGraph forms for C4 [ 512, 550 ] = SS[512,83]

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On this page are computer-accessible forms for the graph C4[ 512, 550 ] = SS[512,83].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {202, 203} under the group generated by the following permutations:

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

(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, 550 ]
512
-1 2 3 4 5
-2 1 501 512 502
-3 1 509 503 504
-4 506 1 510 505
-5 1 507 508 511
-6 155 171 457 95
-7 101 160 173 460
-8 99 177 162 461
-9 464 159 97 174
-10 463 178 102 158
-11 176 462 100 156
-12 161 459 98 175
-13 157 172 458 96
-14 158 93 148 98
-15 88 154 155 97
-16 99 91 160 153
-17 89 156 96 152
-18 101 94 149 162
-19 159 95 151 87
-20 102 92 147 161
-21 100 90 157 150
-22 121 452 59 117
-23 122 454 60 115
-24 451 61 116 120
-25 453 58 118 119
-26 55 123 139 152
-27 146 125 150 54
-28 126 149 140 54
-29 154 144 124 54
-30 55 128 151 141
-31 55 147 129 142
-32 55 145 130 153
-33 143 148 127 54
-34 89 452 93 61
-35 90 58 454 92
-36 88 453 91 59
-37 451 60 94 87
-38 66 67 456 61
-39 68 58 456 65
-40 59 70 455 64
-41 69 455 60 63
-42 57 146 82 72
-43 57 83 73 141
-44 56 84 140 75
-45 56 78 79 142
-46 56 80 71 139
-47 143 57 81 76
-48 77 57 145 85
-49 56 144 74 86
-50 132 133 58 62
-51 134 59 138 62
-52 136 61 62 131
-53 135 60 137 62
-54 33 27 28 29
-55 26 30 31 32
-56 44 45 46 49
-57 47 48 42 43
-58 35 25 39 50
-59 22 36 40 51
-60 23 37 41 53
-61 34 24 38 52
-62 50 51 52 53
-63 331 300 41 339
-64 343 303 40 338
-65 333 346 39 305
-66 342 332 301 38
-67 341 334 38 306
-68 345 335 39 304
-69 299 336 41 340
-70 344 302 40 337
-71 46 291 360 318
-72 356 292 315 42
-73 355 316 295 43
-74 298 322 49 358
-75 44 357 317 296
-76 321 47 293 359
-77 297 319 48 361
-78 45 320 294 362
-79 45 354 323 285
-80 352 46 324 284
-81 286 47 325 349
-82 347 326 283 42
-83 290 348 327 43
-84 44 287 328 350
-85 330 289 48 351
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-87 37 279 358 19
-88 36 355 15 280
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-90 35 282 360 21
-91 277 36 16 357
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-96 13 17 271 350
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-101 354 7 18 273
-102 353 272 20 10
-103 363 277 279 367
-104 364 278 280 368
-105 275 365 369 282
-106 276 366 281 370
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-109 299 346 260 307
-110 308 301 261 339
-111 344 314 305 262
-112 312 306 263 340
-113 341 310 302 259
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-115 23 204 259 316
-116 24 262 208 318
-117 22 319 205 260
-118 25 203 315 261
-119 210 320 25 263
-120 264 24 321 206
-121 22 209 266 322
-122 23 265 207 317
-123 233 26 285 307
-124 308 232 287 29
-125 286 309 234 27
-126 231 288 313 28
-127 33 311 228 283
-128 289 314 30 229
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-130 290 312 227 32
-131 253 333 270 52
-132 254 334 269 50
-133 332 267 50 251
-134 331 255 268 51
-135 256 338 53 274
-136 335 52 273 252
-137 258 337 272 53
-138 257 336 51 271
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0

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