C4graphGraph forms for C4 [ 512, 142 ] = UG(ATD[512,266])

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On this page are computer-accessible forms for the graph C4[ 512, 142 ] = UG(ATD[512,266]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {18, 19} under the group generated by the following permutations:

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

(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, 142 ]
512
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-2 1 499 7 21
-3 12 500 468 8
-4 16 501 9 461
-5 22 464 10 494
-6 1 23 56 459
-7 2 24 57 52
-8 3 25 58 488
-9 4 466 59 26
-10 463 5 27 60
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-13 452 512 30 41
-14 506 34 421 31
-15 507 42 32 406
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-17 34 507 486 50
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-19 23 35 18 502
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-21 110 2 61 161
-22 26 5 503 97
-23 71 6 62 19
-24 111 7 63 97
-25 112 8 42 64
-26 22 61 9 65
-27 66 16 73 10
-28 11 67 113 449
-29 12 68 114 32
-30 462 13 69 115
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-32 15 29 117 439
-33 16 71 118 109
-34 14 17 72 96
-35 73 19 107 119
-36 70 74 20 54
-37 484 39 40 75
-38 485 510 41 76
-39 506 37 479 42
-40 77 12 37 94
-41 78 13 38 95
-42 67 25 15 39
-43 44 79 358 492
-44 78 80 51 43
-45 81 97 405 504
-46 485 82 369 98
-47 366 83 85 481
-48 72 84 491 20
-49 88 511 85 492
-50 17 480 74 86
-51 44 99 509 481
-52 454 7 18 87
-53 88 100 509 455
-54 418 36 91 500
-55 89 444 510 106
-56 66 6 105 174
-57 59 7 120 175
-58 121 176 8 240
-59 177 57 172 9
-60 102 62 10 153
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-62 23 178 60 63
-63 24 123 179 62
-64 25 124 180 84
-65 26 125 181 87
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-67 132 28 127 42
-68 29 128 183 74
-69 99 30 129 184
-70 36 94 31 130
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-73 133 35 125 27
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-75 134 37 171 185
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-80 44 188 159 139
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-85 47 49 140 142
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-87 104 194 52 65
-88 143 49 149 53
-89 55 101 92 142
-90 144 465 93 95
-91 145 442 96 54
-92 89 489 512 98
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-94 124 146 70 40
-95 90 147 41 162
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-97 22 45 24 158
-98 46 92 149 141
-99 69 135 93 51
-100 101 453 150 53
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-102 343 466 60 152
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-104 155 349 459 87
-105 56 342 156 454
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-110 133 81 215 21
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-120 198 209 57 71
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-123 122 200 259 63
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-125 202 73 207 65
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-130 70 117 206 263
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-132 67 72 196 208
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-135 99 165 218 76
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-140 82 216 85 163
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-145 167 91 234 127
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-163 78 226 140 241
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-165 135 212 141 229
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-167 441 145 233 313
-168 341 453 157 235
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-170 442 116 237 292
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-175 57 202 304 153
-176 154 210 58 305
-177 155 178 59 306
-178 177 203 314 62
-179 341 280 182 63
-180 342 193 281 64
-181 198 321 174 65
-182 66 179 194 318
-183 121 68 281 219
-184 220 69 267 149
-185 199 244 322 75
-186 77 343 192 282
-187 79 344 248 217
-188 80 190 345 283
-189 429 232 81 346
-190 188 82 347 339
-191 245 213 324 83
-192 84 238 315 186
-193 319 243 180 86
-194 182 239 316 87
-195 111 289 126 284
-196 132 266 114 285
-197 143 242 286 115
-198 200 181 348 120
-199 121 201 349 185
-200 198 287 123 350
-201 199 288 124 351
-202 352 289 125 175
-203 353 178 290 126
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-207 125 290 294 131
-208 132 134 282 295
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-213 191 356 214 138
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-215 110 231 264 358
-216 223 359 140 229
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-218 143 222 135 241
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-220 147 301 312 184
-221 225 138 149 283
-222 302 151 218 362
-223 363 159 247 216
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-225 221 309 162 307
-226 308 365 217 163
-227 265 366 158 228
-228 367 227 164 340
-229 165 309 368 216
-230 224 258 369 118
-231 166 246 215 370
-232 189 371 119 252
-233 253 167 388 372
-234 254 145 328 373
-235 374 385 255 168
-236 375 397 256 169
-237 376 410 257 170
-238 310 192 393 240
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-240 484 58 368 238
-241 299 312 163 218
-242 137 313 197 307
-243 399 171 193 317
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-245 191 323 259 394
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-248 187 400 327 284
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-251 333 150 348 458
-252 111 232 403 294
-253 233 113 404 263
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-255 235 115 273 406
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-258 122 402 230 296
-259 265 123 245 377
-260 256 269 127 414
-261 378 128 271 438
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-263 253 420 130 285
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-266 288 136 378 196
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-268 286 144 333 421
-269 440 146 379 260
-270 441 147 279 302
-271 257 148 261 417
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-273 255 442 301 151
-274 443 436 316 152
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-278 156 336 447 306
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-281 180 390 183 381
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-283 188 221 331 383
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-285 291 448 196 263
-286 268 292 449 197
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-288 266 201 337 450
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-291 387 246 204 285
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-293 451 254 300 206
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-295 379 390 206 208
-296 209 258 391 339
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-303 452 311 304 174
-304 353 453 303 175
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-306 177 278 455 318
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-311 334 423 303 239
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-313 242 167 410 262
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-318 462 182 348 306
-319 463 310 193 349
-320 244 464 335 305
-321 275 341 465 181
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-323 245 344 467 391
-324 191 345 468 327
-325 476 246 346 469
-326 287 247 347 470
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-328 396 234 411 250
-329 330 279 412 350
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-331 409 212 413 283
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-333 386 419 268 251
-334 297 311 422 382
-335 320 399 424 392
-336 278 390 425 351
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-464 495 320 5 459
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-467 486 508 323 472
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-474 385 412 391 471
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-479 473 344 39 480
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-482 488 347 20 471
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-484 486 37 356 240
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-489 92 367 108 483
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-494 496 376 499 5
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-508 11 419 467 20
-509 487 423 51 53
-510 55 443 38 490
-511 49 93 446 483
-512 13 92 447 469
0

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