C4graphGraph forms for C4 [ 504, 169 ] = BGCG(UG(ATD[252,26]);K1;5)

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On this page are computer-accessible forms for the graph C4[ 504, 169 ] = BGCG(UG(ATD[252,26]);K1;5).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {181, 253} under the group generated by the following permutations:

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

(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.

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&Graph
C4[ 504, 169 ]
504
-1 321 356 305 383
-2 451 343 464 312
-3 463 345 305 439
-4 312 391 382 427
-5 321 380 382 295
-6 495 343 345 369
-7 299 391 436 305
-8 496 344 382 439
-9 374 298 434 391
-10 364 496 398 268
-11 299 398 424 395
-12 298 357 384 439
-13 268 356 466 293
-14 365 434 445 359
-15 343 344 356 500
-16 451 422 445 305
-17 451 293 491 395
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-19 474 321 369 450
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-22 333 410 302 435
-23 286 474 302 447
-24 257 324 380 402
-25 286 332 268 391
-26 374 463 398 403
-27 365 464 268 324
-28 419 356 359 403
-29 286 380 359 339
-30 374 495 302 324
-31 462 333 337 383
-32 264 419 278 425
-33 312 260 349 383
-34 321 464 278 362
-35 462 464 403 447
-36 297 419 324 260
-37 299 300 479 384
-38 298 412 395 428
-39 400 423 370 384
-40 487 378 413 428
-41 300 413 293 350
-42 423 500 371 395
-43 333 369 424 339
-44 265 302 491 295
-45 451 419 333 357
-46 365 425 491 383
-47 332 424 425 439
-48 265 398 357 427
-49 386 487 436 394
-50 342 498 400 422
-51 496 412 325 436
-52 385 342 299 344
-53 386 344 445 350
-54 422 433 500 325
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-56 364 498 378 329
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-59 496 420 434 479
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-69 495 487 422 382
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-177 355 291 335 372
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-179 319 266 453 323
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-182 388 454 269 478
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-185 334 444 368 315
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-187 431 443 279 404
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-200 387 367 316 361
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-202 266 303 392 316
-203 430 392 317 472
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-207 387 456 459 405
-208 473 320 366 411
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-220 352 429 441 282
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-229 431 271 415 285
-230 352 259 381 307
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-265 44 79 48 21
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-270 189 222 192 228
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-272 201 236 204 252
-273 92 139 141 98
-274 78 114 118 75
-275 105 127 96 129
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-280 213 235 204 237
-281 91 127 95 139
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-284 158 192 160 186
-285 233 229 241 252
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-288 154 183 195 152
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-290 225 249 228 240
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-295 44 68 70 5
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-320 243 249 206 208
-321 1 34 5 19
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-326 211 245 215 248
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-336 211 247 205 249
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-383 33 1 46 31
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-388 233 225 182 184
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-390 57 102 60 94
-391 25 4 7 9
-392 176 202 203 174
-393 110 157 159 116
-394 55 103 49 105
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-398 11 26 48 10
-399 210 214 238 239
-400 39 50 106 107
-401 234 183 218 186
-402 24 81 61 63
-403 35 26 81 28
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-405 180 205 163 207
-406 244 224 226 250
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-408 125 116 62 64
-409 180 171 128 130
-410 22 90 80 86
-411 209 171 164 208
-412 99 38 51 97
-413 68 18 40 41
-414 127 172 163 131
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-416 193 162 195 153
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-418 132 165 133 163
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-420 55 101 59 104
-421 231 222 236 238
-422 69 16 50 54
-423 92 39 42 108
-424 11 68 47 43
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-428 38 40 107 98
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-433 58 94 95 54
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-435 22 89 20 75
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-443 187 221 232 191
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-445 57 14 16 53
-446 111 156 119 152
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-449 121 154 125 161
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-452 225 248 250 218
-453 178 179 136 130
-454 147 182 150 197
-455 231 188 190 227
-456 210 244 207 240
-457 166 134 167 142
-458 113 146 117 150
-459 166 215 207 164
-460 222 245 237 219
-461 145 113 157 109
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-463 3 26 82 83
-464 34 2 35 27
-465 123 117 74 76
-466 55 13 57 71
-467 176 144 167 141
-468 233 247 217 251
-469 89 122 85 119
-470 198 147 161 194
-471 154 148 196 197
-472 169 203 214 173
-473 199 167 163 208
-474 23 61 19 76
-475 145 190 181 149
-476 212 214 247 237
-477 234 226 249 252
-478 189 182 226 227
-479 102 37 59 98
-480 193 217 186 219
-481 100 106 130 131
-482 132 100 98 142
-483 221 237 227 240
-484 80 82 63 85
-485 166 178 212 216
-486 232 235 228 239
-487 67 69 49 40
-488 143 176 180 129
-489 155 188 157 192
-490 243 223 227 239
-491 44 67 46 17
-492 77 113 124 73
-493 143 97 108 142
-494 115 62 117 75
-495 69 6 72 30
-496 59 51 8 10
-497 146 190 158 191
-498 56 70 71 50
-499 169 127 138 171
-500 15 18 42 54
-501 221 248 238 217
-502 92 94 138 140
-503 231 234 235 251
-504 123 145 114 147
0

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