C4graphGraph forms for C4 [ 512, 361 ] = PL(ATD[16,4]#ATD[32,11])

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On this page are computer-accessible forms for the graph C4[ 512, 361 ] = PL(ATD[16,4]#ATD[32,11]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {256, 258} under the group generated by the following permutations:

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

(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, 361 ]
512
-1 464 421 356 467
-2 418 421 488 467
-3 464 300 356 500
-4 451 466 357 359
-5 420 293 261 459
-6 418 300 488 500
-7 440 454 466 359
-8 353 365 420 261
-9 451 497 357 382
-10 441 388 293 459
-11 354 511 468 512
-12 388 304 470 274
-13 376 431 486 400
-14 453 300 279 445
-15 506 468 491 404
-16 363 473 489 371
-17 375 465 301 481
-18 387 322 378 479
-19 440 497 454 382
-20 353 441 365 388
-21 355 511 512 416
-22 264 304 274 329
-23 431 377 400 413
-24 431 279 445 438
-25 429 506 298 468
-26 473 509 371 426
-27 375 442 301 483
-28 322 280 479 317
-29 354 508 468 471
-30 409 388 349 470
-31 376 486 380 502
-32 453 300 487 427
-33 451 325 491 404
-34 363 288 489 329
-35 465 446 458 481
-36 387 378 480 503
-37 420 432 323 291
-38 309 399 421 318
-39 399 260 458 504
-40 286 332 480 262
-41 398 500 369 285
-42 287 497 432 414
-43 441 474 366 360
-44 355 271 425 306
-45 299 334 356 404
-46 276 430 435 405
-47 266 444 346 403
-48 276 430 490 406
-49 379 478 402 351
-50 297 312 270 457
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-52 508 355 416 471
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-54 377 380 413 502
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-56 429 451 298 325
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-59 280 480 503 317
-60 432 323 436 371
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-67 355 292 271 272
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-182 385 357 435 417
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-185 290 312 369 450
-186 385 327 449 362
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-192 311 413 326 272
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-227 507 398 258 350
-228 287 389 292 314
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-230 492 416 493 406
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-273 99 146 104 148
-274 22 12 115 65
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-288 66 34 57 116
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-291 91 124 37 72
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-295 188 224 137 108
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-318 165 38 61 218
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-321 122 236 239 87
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-324 103 105 140 86
-325 33 56 126 98
-326 154 165 133 192
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-328 222 91 179 136
-329 22 34 57 53
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-335 132 187 100 211
-336 177 137 107 195
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-376 13 80 118 31
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-379 91 136 49 84
-380 111 61 31 54
-381 110 198 157 139
-382 143 95 19 9
-383 189 93 126 203
-384 199 80 169 118
-385 198 212 182 186
-386 88 90 72 141
-387 176 209 36 18
-388 12 30 20 10
-389 254 69 228 119
-390 221 150 240 109
-391 99 110 151 131
-392 254 255 129 97
-393 154 71 215 120
-394 112 81 83 62
-395 113 82 63 119
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-399 38 39 62 73
-400 23 13 114 64
-401 134 193 239 251
-402 221 49 84 172
-403 47 69 71 51
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-431 55 23 13 24
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-456 187 223 137 107
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-459 176 5 10 208
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-461 149 107 162 163
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-463 243 244 162 163
-464 1 134 3 102
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-466 88 4 7 141
-467 1 2 94 87
-468 11 25 15 29
-469 221 222 179 172
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-471 115 29 52 65
-472 168 203 206 174
-473 123 26 16 171
-474 66 155 43 197
-475 199 135 169 193
-476 99 78 116 131
-477 158 149 160 107
-478 70 49 229 197
-479 28 18 85 120
-480 36 59 40 75
-481 35 200 17 164
-482 92 125 172 205
-483 58 27 225 241
-484 178 180 181 152
-485 243 244 158 160
-486 13 135 193 31
-487 55 145 97 32
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-489 34 134 16 193
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-491 33 220 15 248
-492 225 194 151 230
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-494 243 200 245 164
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-497 77 19 9 42
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-499 178 222 196 153
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-501 176 247 208 219
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-505 90 72 162 153
-506 110 25 15 139
-507 159 138 227 251
-508 190 29 128 52
-509 57 26 249 206
-510 199 161 130 98
-511 11 144 96 21
-512 11 163 196 21
0

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