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