C4graphGraph forms for C4 [ 504, 165 ] = BGCG(L(F56C),C_3,{3,4})

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On this page are computer-accessible forms for the graph C4[ 504, 165 ] = BGCG(L(F56C),C_3,{3,4}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {336, 350} under the group generated by the following permutations:

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

(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[ 504, 165 ]
504
-1 85 470 87 494
-2 473 85 86 461
-3 446 491 86 87
-4 88 90 466 470
-5 91 466 93 494
-6 473 442 94 96
-7 99 463 446 97
-8 100 442 102 461
-9 463 103 105 491
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-11 440 91 92 489
-12 89 90 431 480
-13 443 92 93 500
-14 94 468 95 504
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-18 434 95 96 483
-19 99 451 425 98
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-22 498 445 106 108
-23 106 107 503 493
-24 111 430 489 109
-25 441 112 431 114
-26 112 113 433 428
-27 443 115 117 460
-28 464 445 118 120
-29 121 440 430 123
-30 121 122 425 438
-31 441 124 126 480
-32 500 127 129 460
-33 127 128 471 504
-34 132 501 130 472
-35 497 490 130 131
-36 133 135 433 456
-37 484 136 138 424
-38 424 139 437 141
-39 429 434 139 140
-40 144 465 490 142
-41 145 147 467 493
-42 148 468 150 471
-43 444 151 153 472
-44 154 429 156 483
-45 451 157 159 438
-46 110 469 502 109
-47 495 124 125 502
-48 495 469 140 141
-49 113 114 447 492
-50 496 136 137 447
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-54 422 116 117 450
-55 422 118 459 119
-56 132 459 131 450
-57 125 455 126 481
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-59 477 128 458 129
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-64 423 149 150 449
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-67 488 119 120 439
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-69 462 122 474 123
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-90 12 234 4 246
-91 11 245 5 226
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-162 178 190 82 76
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-172 134 256 258 130
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-181 260 107 261 164
-182 132 168 262 263
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-185 101 148 271 272
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-187 89 266 267 115
-188 269 270 161 129
-189 167 272 273 131
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-195 124 107 283 285
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-203 154 298 299 161
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-207 308 93 98 307
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-210 132 135 316 318
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-217 111 156 281 282
-218 111 160 304 305
-219 156 160 325 326
-220 143 96 283 284
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-224 123 299 300 114
-225 145 293 294 119
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-227 297 122 141 296
-228 122 313 314 85
-229 319 320 85 141
-230 275 276 113 140
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-232 113 317 87 318
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-234 90 116 314 315
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-248 99 334 336 118
-249 100 334 335 117
-250 121 330 139 329
-251 112 332 333 139
-252 121 112 335 336
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-254 170 390 171 391
-255 399 169 400 171
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-258 180 402 172 414
-259 179 413 173 394
-260 352 179 181 362
-261 375 181 380 173
-262 365 182 360 174
-263 182 348 361 186
-264 388 412 174 186
-265 183 372 175 362
-266 187 375 354 183
-267 187 409 416 175
-268 176 410 184 417
-269 374 188 353 184
-270 176 188 366 381
-271 177 403 415 185
-272 189 365 347 185
-273 177 189 367 361
-274 342 190 344 191
-275 363 191 349 230
-276 190 379 230 351
-277 364 192 214 358
-278 233 343 214 339
-279 385 386 233 192
-280 419 420 193 194
-281 398 400 194 217
-282 390 193 392 217
-283 220 355 381 195
-284 220 222 401 402
-285 222 411 195 417
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-288 352 235 196 372
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-290 198 396 237 395
-291 237 391 392 197
-292 363 199 368 215
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-295 200 343 201 345
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-305 342 338 218 240
-306 205 240 405 406
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-315 209 354 234 380
-316 210 353 226 373
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-325 377 213 359 219
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-388 264 451 452 311
-389 319 311 469 470
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-393 462 287 313 461
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-403 320 455 456 271
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-456 364 36 16 403
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-463 368 369 7 9
-464 28 369 10 395
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-466 4 5 370 371
-467 392 41 371 21
-468 14 370 392 42
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-470 1 4 389 406
-471 33 42 372 406
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-476 375 62 63 384
-477 374 59 61 384
-478 68 79 376 399
-479 409 399 52 53
-480 12 376 409 31
-481 77 396 57 377
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-483 44 377 402 18
-484 37 378 17 394
-485 400 74 75 394
-486 78 378 400 65
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-488 67 397 68 410
-489 11 24 410 379
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-491 407 3 411 9
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-496 412 50 413 51
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-499 70 71 414 415
-500 419 13 415 32
-501 34 419 15 414
-502 46 47 416 417
-503 23 420 21 417
-504 33 420 14 416
0

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