C4graphGraph forms for C4 [ 504, 53 ] = PL(MC3(6,42,1,8,5,0,2),[3^84,12^21])

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On this page are computer-accessible forms for the graph C4[ 504, 53 ] = PL(MC3(6,42,1,8,5,0,2),[3^84,12^21]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {236, 254} under the group generated by the following permutations:

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

(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, 53 ]
504
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-2 255 324 491 295
-3 276 342 431 480
-4 253 254 315 494
-5 495 276 342 299
-6 363 315 469 494
-7 376 500 306 328
-8 287 412 437 317
-9 323 478 282 362
-10 475 435 273 350
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-13 374 314 369 338
-14 379 303 261 372
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-261 24 14 37 74
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-274 33 181 64 164
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-310 44 68 213 30
-311 249 239 196 186
-312 154 221 146 191
-313 222 124 61 72
-314 23 13 38 75
-315 66 4 6 127
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0

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