Graph forms
for C4 [ 512, 417 ] =
BGCG(UG(ATD[128,54]);K2;{18,19,20,21})
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On this page are computer-accessible forms for the graph C4[ 512, 417 ] =
BGCG(UG(ATD[128,54]);K2;{18,19,20,21}).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 277}, {256, 287}, {256, 449}, {256, 498}, {49, 305}, {52,
308}, {216, 472}, {19, 274}, {124, 381}, {195, 450}, {209, 464}, {107, 361},
{114, 368}, {208, 466}, {15, 268}, {254, 509}, {5, 257}, {162, 422}, {87, 339},
{200, 460}, {14, 267}, {159, 410}, {158, 411}, {132, 385}, {83, 341}, {250,
508}, {115, 373}, {165, 419}, {182, 432}, {36, 291}, {194, 453}, {221, 474},
{17, 280}, {23, 286}, {86, 351}, {179, 442}, {53, 319}, {90, 336}, {104, 354},
{50, 313}, {71, 332}, {85, 350}, {106, 353}, {13, 257}, {138, 390}, {63, 307},
{202, 454}, {221, 465}, {5, 264}, {254, 499}, {127, 370}, {14, 259}, {83, 350},
{18, 284}, {67, 333}, {175, 417}, {238, 480}, {43, 292}, {58, 299}, {130, 403},
{206, 479}, {226, 499}, {32, 306}, {150, 388}, {130, 400}, {165, 439}, {188,
430}, {68, 343}, {238, 509}, {45, 313}, {91, 335}, {100, 368}, {46, 315}, {252,
489}, {77, 344}, {83, 326}, {28, 266}, {233, 511}, {129, 406}, {218, 461}, {61,
293}, {160, 440}, {138, 402}, {119, 367}, {103, 383}, {233, 497}, {17, 264},
{161, 440}, {221, 452}, {29, 263}, {45, 311}, {65, 347}, {45, 310}, {156, 391},
{66, 345}, {76, 343}, {80, 331}, {89, 322}, {106, 369}, {108, 375}, {167, 444},
{168, 435}, {206, 469}, {4, 280}, {244, 488}, {30, 258}, {50, 302}, {91, 327},
{212, 456}, {139, 406}, {203, 470}, {17, 271}, {28, 258}, {27, 260}, {162, 445},
{52, 299}, {84, 331}, {179, 428}, {196, 475}, {16, 304}, {248, 472}, {36, 260},
{38, 263}, {154, 443}, {136, 425}, {53, 276}, {61, 284}, {96, 321}, {224, 449},
{157, 447}, {207, 493}, {41, 266}, {58, 281}, {227, 448}, {85, 369}, {147, 439},
{97, 325}, {109, 329}, {240, 468}, {122, 351}, {163, 390}, {183, 402}, {209,
500}, {49, 279}, {170, 396}, {220, 506}, {103, 320}, {150, 433}, {127, 344},
{191, 408}, {244, 467}, {18, 314}, {71, 367}, {84, 380}, {239, 455}, {5, 300},
{216, 497}, {22, 316}, {121, 339}, {59, 273}, {70, 364}, {73, 355}, {57, 274},
{140, 423}, {114, 345}, {178, 409}, {6, 298}, {160, 396}, {69, 361}, {220, 496},
{1, 300}, {134, 427}, {118, 347}, {40, 261}, {83, 382}, {180, 409}, {189, 400},
{192, 493}, {27, 309}, {55, 281}, {174, 384}, {186, 404}, {204, 482}, {228,
458}, {87, 376}, {96, 335}, {75, 379}, {240, 448}, {77, 380}, {127, 334}, {10,
312}, {253, 463}, {123, 329}, {187, 392}, {190, 397}, {198, 501}, {218, 489},
{228, 471}, {29, 297}, {232, 476}, {233, 477}, {6, 307}, {143, 442}, {131, 438},
{37, 272}, {42, 287}, {96, 341}, {171, 414}, {137, 447}, {147, 421}, {185, 399},
{232, 478}, {239, 473}, {21, 290}, {123, 332}, {91, 364}, {35, 283}, {122, 322},
{47, 279}, {85, 365}, {89, 353}, {188, 388}, {202, 498}, {208, 488}, {94, 359},
{148, 429}, {143, 438}, {178, 395}, {242, 459}, {53, 271}, {94, 356}, {102,
348}, {169, 403}, {13, 310}, {253, 454}, {252, 455}, {159, 420}, {135, 444},
{93, 358}, {17, 301}, {102, 346}, {194, 510}, {222, 482}, {24, 293}, {162, 415},
{219, 486}, {37, 283}, {123, 325}, {112, 334}, {61, 259}, {73, 375}, {235, 469},
{44, 275}, {132, 452}, {160, 480}, {142, 462}, {137, 457}, {16, 337}, {33, 352},
{212, 405}, {231, 422}, {128, 450}, {246, 436}, {229, 423}, {106, 297}, {119,
308}, {108, 303}, {241, 434}, {79, 267}, {158, 474}, {117, 305}, {206, 394},
{207, 395}, {48, 373}, {49, 372}, {97, 292}, {204, 393}, {118, 304}, {144, 470},
{132, 450}, {162, 485}, {169, 494}, {243, 436}, {11, 323}, {248, 432}, {167,
495}, {184, 496}, {243, 443}, {153, 464}, {210, 411}, {131, 457}, {152, 466},
{54, 381}, {71, 268}, {77, 262}, {44, 352}, {185, 501}, {227, 431}, {229, 425},
{64, 269}, {103, 298}, {168, 485}, {172, 481}, {192, 397}, {216, 405}, {60,
370}, {97, 303}, {169, 487}, {182, 504}, {229, 427}, {116, 315}, {168, 487},
{174, 481}, {179, 508}, {118, 294}, {254, 430}, {140, 476}, {164, 500}, {46,
383}, {156, 461}, {113, 288}, {68, 277}, {192, 401}, {214, 391}, {226, 435},
{48, 354}, {95, 269}, {235, 441}, {73, 282}, {77, 286}, {97, 306}, {173, 510},
{185, 490}, {209, 386}, {90, 270}, {99, 311}, {191, 491}, {3, 342}, {157, 456},
{116, 289}, {59, 366}, {69, 272}, {70, 275}, {104, 317}, {200, 413}, {214, 387},
{126, 296}, {206, 408}, {239, 441}, {1, 342}, {247, 416}, {109, 309}, {188,
484}, {210, 394}, {11, 338}, {24, 321}, {236, 437}, {26, 320}, {92, 262}, {176,
490}, {33, 378}, {140, 471}, {191, 484}, {202, 401}, {230, 445}, {14, 338}, {31,
323}, {49, 365}, {56, 356}, {54, 363}, {223, 386}, {22, 328}, {146, 460}, {59,
357}, {2, 349}, {253, 418}, {121, 294}, {11, 340}, {72, 296}, {117, 277}, {179,
467}, {190, 478}, {193, 417}, {175, 462}, {253, 412}, {228, 389}, {38, 324},
{62, 348}, {21, 374}, {140, 495}, {27, 376}, {36, 327}, {235, 392}, {26, 382},
{158, 506}, {121, 285}, {46, 330}, {73, 301}, {229, 385}, {35, 326}, {108, 265},
{175, 458}, {241, 404}, {124, 282}, {138, 492}, {195, 421}, {137, 494}, {250,
413}, {226, 389}, {231, 384}, {74, 290}, {144, 504}, {79, 295}, {109, 261},
{171, 451}, {214, 446}, {56, 337}, {123, 273}, {137, 483}, {197, 431}, {223,
437}, {135, 492}, {193, 426}, {31, 371}, {151, 507}, {149, 505}, {183, 475},
{193, 429}, {240, 412}, {7, 362}, {121, 276}, {20, 377}, {25, 372}, {80, 317},
{166, 459}, {153, 503}, {194, 428}, {220, 434}, {8, 359}, {248, 407}, {197,
426}, {209, 446}, {230, 393}, {241, 414}, {42, 346}, {147, 483}, {58, 330},
{243, 387}, {27, 362}, {135, 502}, {128, 497}, {20, 358}, {153, 491}, {148,
486}, {23, 357}, {26, 360}, {55, 324}, {75, 312}, {110, 285}, {167, 468}, {176,
451}, {98, 278}, {3, 374}, {82, 295}, {106, 287}, {172, 473}, {213, 416}, {239,
410}, {15, 377}, {248, 398}, {62, 328}, {72, 318}, {76, 314}, {87, 289}, {88,
302}, {199, 433}, {13, 378}, {136, 511}, {129, 502}, {39, 336}, {75, 316}, {2,
379}, {119, 270}, {52, 333}, {166, 479}, {141, 503}, {245, 399}, {181, 463},
{210, 424}, {237, 407}, {8, 371}, {245, 398}, {114, 265}, {24, 355}, {68, 319},
{170, 465}, {217, 418}, {18, 366}, {33, 349}, {223, 419}, {227, 415}, {67, 318},
{94, 291}, {184, 453}, {217, 420}, {21, 363}, {133, 507}, {163, 477}, {23, 360},
{134, 505}, {43, 340}, {215, 424}, {126, 510}, {127, 511}, {164, 292}, {37,
420}, {145, 272}, {122, 507}, {80, 465}, {235, 362}, {30, 412}, {252, 382},
{147, 273}, {142, 268}, {133, 263}, {34, 416}, {67, 449}, {72, 459}, {177, 306},
{215, 340}, {66, 454}, {143, 267}, {93, 473}, {196, 320}, {211, 342}, {243,
374}, {4, 386}, {145, 279}, {31, 409}, {34, 421}, {247, 368}, {133, 258}, {180,
307}, {171, 291}, {178, 314}, {213, 349}, {234, 354}, {146, 283}, {232, 353},
{51, 441}, {151, 285}, {142, 260}, {126, 500}, {170, 288}, {191, 308}, {219,
336}, {228, 367}, {199, 331}, {2, 399}, {47, 418}, {195, 334}, {211, 349}, {255,
369}, {10, 389}, {141, 258}, {74, 453}, {88, 471}, {93, 466}, {110, 510}, {60,
429}, {160, 305}, {238, 383}, {174, 316}, {84, 455}, {132, 279}, {116, 487},
{219, 328}, {1, 405}, {28, 392}, {90, 462}, {204, 344}, {236, 376}, {22, 387},
{157, 264}, {156, 265}, {173, 312}, {218, 335}, {2, 404}, {145, 263}, {128,
278}, {124, 490}, {33, 439}, {98, 500}, {186, 300}, {211, 325}, {233, 383}, {32,
439}, {173, 314}, {51, 427}, {155, 259}, {68, 476}, {78, 470}, {173, 309}, {180,
300}, {194, 346}, {212, 332}, {217, 321}, {234, 370}, {54, 431}, {205, 343},
{250, 352}, {10, 401}, {105, 498}, {189, 294}, {34, 446}, {39, 443}, {40, 436},
{196, 344}, {208, 332}, {37, 440}, {156, 257}, {193, 348}, {242, 367}, {11,
405}, {75, 469}, {81, 463}, {93, 451}, {158, 257}, {178, 301}, {116, 468}, {128,
288}, {169, 265}, {186, 282}, {215, 375}, {42, 395}, {79, 494}, {8, 426}, {81,
499}, {96, 450}, {224, 322}, {112, 467}, {12, 424}, {22, 434}, {92, 505}, {154,
319}, {181, 272}, {26, 444}, {35, 389}, {55, 401}, {181, 275}, {189, 283}, {111,
456}, {164, 259}, {213, 370}, {225, 326}, {237, 330}, {50, 410}, {255, 343},
{63, 407}, {185, 273}, {242, 346}, {57, 400}, {58, 403}, {177, 280}, {187, 274},
{6, 428}, {246, 348}, {129, 299}, {88, 498}, {165, 271}, {19, 440}, {146, 313},
{32, 395}, {76, 481}, {249, 340}, {155, 310}, {150, 315}, {125, 464}, {100,
457}, {183, 282}, {198, 363}, {201, 356}, {52, 410}, {133, 299}, {64, 494}, {78,
480}, {166, 264}, {168, 262}, {211, 381}, {120, 471}, {134, 297}, {197, 362},
{212, 379}, {62, 398}, {251, 331}, {70, 502}, {90, 490}, {219, 363}, {224, 336},
{110, 479}, {251, 330}, {201, 376}, {61, 399}, {255, 333}, {134, 308}, {92,
495}, {104, 475}, {124, 456}, {149, 289}, {19, 422}, {104, 477}, {111, 474}, {3,
437}, {15, 441}, {43, 413}, {205, 379}, {214, 352}, {222, 360}, {224, 342}, {80,
487}, {157, 298}, {105, 478}, {175, 280}, {199, 368}, {203, 380}, {125, 453},
{141, 309}, {172, 276}, {221, 357}, {70, 511}, {165, 284}, {189, 260}, {15,
437}, {20, 430}, {74, 497}, {250, 321}, {213, 366}, {217, 354}, {7, 443}, {31,
419}, {59, 391}, {100, 472}, {41, 404}, {251, 326}, {138, 311}, {107, 470},
{222, 355}, {230, 347}, {240, 333}, {50, 396}, {152, 294}, {114, 460}, {91,
485}, {60, 387}, {163, 284}, {145, 302}, {144, 303}, {66, 509}, {94, 481}, {230,
345}, {40, 488}, {115, 435}, {113, 433}, {234, 298}, {41, 488}, {54, 503}, {84,
406}, {144, 338}, {103, 421}, {177, 371}, {225, 291}, {9, 458}, {14, 461}, {79,
396}, {99, 416}, {207, 268}, {34, 486}, {247, 307}, {41, 493}, {4, 449}, {118,
435}, {16, 469}, {38, 480}, {76, 394}, {176, 374}, {4, 451}, {245, 306}, {30,
473}, {78, 393}, {51, 507}, {182, 382}, {205, 261}, {244, 316}, {3, 458}, {9,
448}, {24, 465}, {101, 428}, {85, 415}, {197, 271}, {234, 288}, {46, 482}, {199,
267}, {101, 424}, {188, 369}, {40, 486}, {44, 482}, {64, 398}, {82, 412}, {88,
406}, {192, 270}, {231, 297}, {57, 502}, {139, 324}, {115, 444}, {112, 447},
{101, 426}, {45, 509}, {57, 489}, {81, 385}, {201, 281}, {205, 285}, {225, 305},
{107, 442}, {150, 327}, {176, 353}, {223, 270}, {225, 304}, {28, 462}, {64,
402}, {86, 388}, {196, 278}, {198, 276}, {63, 492}, {246, 293}, {126, 429}, {99,
432}, {12, 472}, {129, 341}, {111, 442}, {25, 463}, {131, 341}, {72, 414}, {98,
436}, {187, 365}, {232, 318}, {244, 290}, {12, 475}, {120, 431}, {36, 499}, {39,
496}, {56, 495}, {218, 269}, {74, 402}, {161, 377}, {139, 339}, {102, 446},
{231, 319}, {18, 459}, {254, 295}, {246, 303}, {48, 489}, {78, 407}, {220, 261},
{29, 455}, {152, 322}, {139, 337}, {108, 438}, {182, 364}, {82, 393}, {159,
324}, {184, 355}, {227, 312}, {237, 310}, {63, 483}, {249, 293}, {130, 350},
{125, 417}, {99, 447}, {236, 304}, {29, 448}, {187, 358}, {86, 392}, {95, 385},
{60, 483}, {142, 337}, {177, 366}, {120, 408}, {149, 373}, {136, 360}, {10,
491}, {25, 504}, {47, 461}, {113, 403}, {100, 390}, {62, 477}, {245, 278}, {65,
418}, {9, 493}, {122, 414}, {98, 390}, {53, 464}, {252, 281}, {117, 400}, {67,
422}, {166, 323}, {190, 347}, {47, 457}, {163, 325}, {125, 411}, {236, 266},
{16, 503}, {249, 286}, {154, 381}, {30, 505}, {51, 468}, {101, 386}, {174, 329},
{201, 302}, {207, 296}, {65, 425}, {119, 415}, {167, 335}, {66, 427}, {251,
274}, {95, 438}, {105, 384}, {38, 460}, {249, 275}, {153, 371}, {184, 338}, {23,
508}, {159, 372}, {112, 411}, {55, 476}, {86, 445}, {202, 289}, {237, 262}, {7,
491}, {155, 375}, {113, 413}, {69, 425}, {81, 445}, {102, 394}, {107, 391},
{164, 328}, {9, 484}, {92, 433}, {110, 384}, {148, 378}, {135, 361}, {208, 318},
{241, 287}, {21, 506}, {43, 452}, {65, 430}, {200, 295}, {87, 423}, {151, 359},
{203, 315}, {238, 286}, {20, 485}, {151, 358}, {148, 357}, {7, 501}, {155, 361},
{170, 345}, {172, 351}, {186, 329}, {1, 501}, {141, 377}, {39, 467}, {48, 452},
{183, 323}, {13, 504}, {143, 378}, {120, 397}, {25, 492}, {69, 432}, {71, 434},
{82, 423}, {109, 408}, {181, 320}, {200, 317}, {204, 313}, {215, 290}, {216,
301}, {44, 474}, {131, 373}, {111, 409}, {19, 484}, {115, 388}, {226, 277}, {42,
466}, {117, 397}, {89, 417}, {171, 339}, {242, 266}, {5, 508}, {149, 364}, {190,
327}, {89, 419}, {247, 269}, {180, 334}, {210, 296}, {222, 292}, {95, 420}, {6,
506}, {152, 356}, {136, 372}, {12, 496}, {203, 311}, {35, 478}, {154, 359}, {56,
454}, {161, 351}, {130, 380}, {195, 317}, {32, 479}, {161, 350}, {146, 365}, {8,
512}, {105, 512}, {198, 512}, {255, 512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 277}
under the group generated by the following permutations:
a: (2, 123)(4, 89)(5, 11)(6, 74)(8, 53)(9, 15)(10, 27)(12, 112)(13, 43)(14,
23)(16, 120)(17, 31)(19, 51)(20, 29)(22, 40)(24, 107)(25, 113)(26, 79)(28,
119)(30, 85)(33, 97)(34, 62)(35, 87)(36, 55)(37, 116)(38, 91)(41, 71)(44,
108)(45, 48)(46, 95)(47, 77)(49, 92)(50, 115)(52, 86)(56, 117)(57, 66)(58,
81)(59, 61)(60, 98)(63, 128)(64, 103)(65, 84)(67, 122)(68, 94)(69, 80)(70,
114)(73, 111)(75, 109)(78, 96)(82, 83)(88, 118)(93, 106)(99, 104)(100, 127)(101,
125)(105, 121)(129, 230)(130, 253)(131, 204)(132, 237)(133, 162)(134, 187)(135,
170)(136, 199)(137, 196)(138, 234)(139, 190)(140, 225)(141, 227)(142, 192)(143,
222)(144, 250)(145, 168)(146, 149)(147, 245)(148, 164)(150, 159)(151, 231)(152,
256)(153, 197)(155, 221)(156, 249)(157, 183)(158, 215)(160, 167)(161, 240)(163,
213)(165, 177)(169, 181)(171, 232)(172, 255)(174, 205)(175, 223)(179, 184)(180,
216)(182, 200)(186, 212)(188, 239)(189, 202)(191, 235)(193, 209)(195, 248)(201,
226)(203, 217)(208, 241)(214, 246)(218, 238)(220, 244)(228, 236)(229, 251)(233,
247)(252, 254)(257, 340)(258, 415)(259, 357)(260, 401)(261, 316)(262, 279)(263,
485)(264, 323)(265, 275)(266, 367)(267, 360)(268, 493)(269, 383)(270, 462)(271,
371)(272, 487)(273, 399)(274, 427)(276, 512)(277, 356)(278, 483)(280, 419)(281,
499)(282, 456)(283, 289)(284, 366)(285, 384)(286, 461)(287, 466)(288, 492)(290,
506)(291, 476)(292, 378)(293, 391)(294, 498)(295, 382)(297, 358)(298, 402)(299,
445)(300, 405)(301, 409)(302, 435)(303, 352)(304, 471)(305, 495)(306, 439)(307,
497)(308, 392)(309, 312)(310, 452)(311, 354)(313, 373)(315, 420)(317, 432)(318,
414)(319, 359)(320, 494)(321, 470)(322, 449)(324, 327)(325, 349)(326, 423)(328,
486)(329, 379)(330, 385)(331, 425)(332, 404)(333, 351)(334, 472)(335, 480)(337,
397)(338, 508)(339, 478)(341, 393)(343, 481)(344, 457)(345, 502)(347, 406)(348,
446)(350, 412)(353, 451)(355, 442)(361, 465)(362, 491)(364, 460)(365, 505)(368,
511)(369, 473)(370, 390)(372, 433)(375, 474)(376, 389)(377, 448)(380, 418)(386,
417)(387, 436)(388, 410)(396, 444)(398, 421)(400, 454)(403, 463)(407, 450)(408,
469)(411, 424)(413, 504)(416, 477)(422, 507)(426, 464)(428, 453)(429, 500)(430,
455)(431, 503)(434, 488)(437, 458)(438, 482)(440, 468)(441, 484)(447, 475)(467,
496)(489, 509) (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 **************
b: (1, 2)(3, 41)(4, 42)(5, 33)(6, 34)(7, 75)(8, 76)(11, 61)(12, 62)(15, 28)(16,
27)(17, 32)(18, 31)(19, 29)(20, 30)(21, 40)(22, 39)(23, 44)(24, 43)(25, 45)(26,
46)(35, 55)(36, 56)(37, 38)(47, 79)(48, 80)(49, 50)(51, 86)(52, 85)(53, 110)(54,
109)(57, 84)(58, 83)(59, 111)(60, 112)(63, 99)(64, 100)(65, 82)(66, 81)(67,
106)(68, 105)(69, 78)(70, 77)(71, 90)(72, 89)(73, 97)(74, 98)(87, 118)(88,
117)(91, 92)(95, 114)(96, 113)(101, 102)(115, 116)(123, 124)(125, 126)(129,
130)(131, 169)(132, 170)(133, 161)(134, 162)(135, 203)(136, 204)(139, 189)(140,
190)(143, 156)(144, 155)(145, 160)(146, 159)(147, 157)(148, 158)(149, 168)(150,
167)(151, 172)(152, 171)(153, 173)(154, 174)(163, 183)(164, 184)(165, 166)(175,
207)(176, 208)(177, 178)(179, 214)(180, 213)(181, 238)(182, 237)(185, 212)(186,
211)(187, 239)(188, 240)(191, 227)(192, 228)(193, 210)(194, 209)(195, 234)(196,
233)(197, 206)(198, 205)(199, 218)(200, 217)(201, 225)(202, 226)(215, 246)(216,
245)(219, 220)(223, 242)(224, 241)(229, 230)(243, 244)(251, 252)(253, 254)(257,
378)(258, 377)(259, 338)(260, 337)(261, 363)(262, 364)(263, 440)(264, 439)(265,
438)(266, 437)(267, 461)(268, 462)(269, 368)(270, 367)(271, 479)(272, 480)(273,
456)(274, 455)(275, 286)(276, 285)(277, 498)(278, 497)(279, 396)(280, 395)(281,
326)(282, 325)(283, 324)(284, 323)(287, 449)(288, 450)(289, 435)(290, 436)(291,
356)(292, 355)(293, 340)(294, 339)(295, 418)(296, 417)(297, 422)(298, 421)(299,
350)(300, 349)(301, 306)(302, 305)(303, 375)(304, 376)(307, 416)(308, 415)(309,
503)(310, 504)(311, 492)(312, 491)(313, 372)(314, 371)(315, 444)(316, 443)(317,
354)(318, 353)(319, 384)(320, 383)(321, 413)(322, 414)(327, 495)(328, 496)(329,
381)(330, 382)(331, 489)(332, 490)(333, 369)(334, 370)(335, 433)(336, 434)(341,
403)(342, 404)(343, 512)(344, 511)(345, 385)(346, 386)(347, 423)(348, 424)(351,
507)(352, 508)(357, 474)(358, 473)(359, 481)(360, 482)(361, 470)(362, 469)(365,
410)(366, 409)(373, 487)(374, 488)(379, 501)(380, 502)(387, 467)(388, 468)(389,
401)(390, 402)(391, 442)(392, 441)(393, 425)(394, 426)(397, 471)(398, 472)(399,
405)(400, 406)(407, 432)(408, 431)(411, 429)(412, 430)(419, 459)(420, 460)(427,
445)(428, 446)(447, 483)(448, 484)(451, 466)(452, 465)(453, 500)(454, 499)(457,
494)(458, 493)(463, 509)(464, 510)(475, 477)(476, 478)(485, 505)(486, 506)
c: (1, 3)(2, 4)(5, 9)(6, 10)(7, 21)(8, 22)(11, 15)(12, 16)(13, 19)(14, 20)(17,
41)(18, 42)(23, 29)(24, 30)(25, 37)(26, 38)(27, 74)(28, 73)(31, 71)(32, 72)(33,
67)(34, 68)(35, 63)(36, 64)(39, 54)(40, 53)(43, 51)(44, 52)(45, 57)(46, 58)(47,
65)(48, 66)(49, 69)(50, 70)(55, 103)(56, 104)(59, 106)(60, 105)(61, 93)(62,
94)(75, 101)(76, 102)(77, 84)(78, 83)(79, 91)(80, 92)(81, 95)(82, 96)(85,
107)(86, 108)(87, 128)(88, 127)(89, 123)(90, 124)(97, 122)(98, 121)(99,
117)(100, 118)(109, 125)(110, 126)(111, 119)(112, 120)(113, 116)(114, 115)(129,
204)(130, 203)(131, 230)(132, 229)(133, 222)(134, 221)(135, 146)(136, 145)(137,
190)(138, 189)(139, 196)(140, 195)(141, 184)(142, 183)(143, 162)(144, 161)(147,
232)(148, 231)(149, 170)(150, 169)(151, 164)(152, 163)(153, 220)(154, 219)(155,
187)(156, 188)(157, 192)(158, 191)(159, 181)(160, 182)(165, 208)(166, 207)(167,
200)(168, 199)(171, 245)(172, 246)(173, 194)(174, 193)(175, 186)(176, 185)(177,
241)(178, 242)(179, 227)(180, 228)(197, 244)(198, 243)(201, 233)(202, 234)(205,
209)(206, 210)(211, 224)(212, 223)(213, 256)(214, 255)(215, 235)(216, 236)(217,
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483)(489, 509)(491, 506)(496, 503)
d: (3, 198)(4, 153)(5, 11)(6, 74)(7, 224)(8, 175)(9, 255)(10, 256)(12, 112)(13,
249)(14, 250)(15, 172)(16, 171)(17, 31)(18, 32)(19, 52)(20, 30)(23, 144)(24,
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200)(48, 169)(51, 86)(53, 223)(54, 176)(55, 117)(57, 58)(59, 97)(60, 62)(63,
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499)(458, 512)(459, 479)(463, 509)(467, 496)(471, 478)(477, 483)(485, 505)
e: (3, 7)(4, 8)(5, 11)(6, 12)(9, 10)(13, 14)(15, 27)(16, 28)(17, 31)(18, 32)(19,
35)(20, 36)(21, 39)(22, 40)(23, 43)(24, 44)(25, 47)(26, 48)(29, 55)(30, 56)(33,
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f: (3, 5)(4, 6)(7, 11)(8, 12)(9, 13)(10, 14)(15, 23)(16, 24)(17, 21)(18, 22)(19,
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495)(489, 499)(500, 510)
C4[ 512, 417 ]
512
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0