Graph forms
for C4 [ 512, 433 ] = BGCG(PX(8,5);K1;{4,9})
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On this page are computer-accessible forms for the graph C4[ 512, 433 ] =
BGCG(PX(8,5);K1;{4,9}).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 290}, {256, 319}, {256, 362}, {256, 446}, {43, 299}, {156,
412}, {78, 334}, {84, 340}, {89, 345}, {212, 468}, {54, 311}, {124, 381}, {220,
477}, {252, 510}, {36, 295}, {119, 372}, {180, 439}, {23, 275}, {156, 408},
{146, 406}, {46, 298}, {65, 325}, {166, 418}, {187, 447}, {200, 460}, {72, 333},
{77, 328}, {98, 359}, {174, 427}, {205, 456}, {227, 486}, {104, 367}, {123,
380}, {108, 363}, {109, 362}, {193, 454}, {205, 458}, {43, 291}, {248, 496},
{159, 407}, {113, 377}, {95, 343}, {189, 437}, {242, 506}, {134, 399}, {156,
405}, {155, 402}, {49, 315}, {132, 398}, {51, 313}, {169, 419}, {175, 421},
{224, 490}, {43, 288}, {248, 499}, {165, 430}, {83, 351}, {254, 498}, {8, 261},
{40, 293}, {83, 350}, {190, 435}, {195, 462}, {223, 466}, {5, 267}, {39, 297},
{175, 417}, {222, 464}, {19, 284}, {254, 497}, {133, 394}, {34, 301}, {51, 316},
{69, 330}, {2, 274}, {148, 388}, {114, 354}, {97, 369}, {29, 268}, {85, 324},
{199, 470}, {34, 304}, {254, 492}, {122, 360}, {65, 339}, {3, 272}, {115, 352},
{61, 302}, {78, 349}, {85, 326}, {196, 471}, {212, 455}, {164, 432}, {233, 509},
{102, 371}, {158, 395}, {233, 508}, {70, 336}, {149, 387}, {112, 358}, {173,
443}, {238, 504}, {20, 259}, {128, 407}, {65, 342}, {175, 440}, {41, 305}, {45,
309}, {191, 423}, {218, 450}, {13, 276}, {149, 396}, {33, 312}, {80, 329}, {38,
317}, {87, 332}, {189, 422}, {105, 373}, {154, 390}, {136, 404}, {177, 429},
{178, 431}, {66, 348}, {209, 463}, {7, 280}, {9, 278}, {32, 319}, {48, 303},
{59, 292}, {71, 344}, {184, 408}, {225, 449}, {231, 455}, {17, 304}, {168, 393},
{196, 485}, {51, 273}, {130, 416}, {60, 286}, {94, 380}, {109, 335}, {183, 405},
{33, 258}, {172, 399}, {204, 495}, {239, 460}, {137, 429}, {157, 441}, {144,
436}, {172, 392}, {194, 486}, {2, 295}, {248, 477}, {6, 291}, {19, 310}, {77,
360}, {94, 379}, {26, 316}, {123, 349}, {61, 283}, {170, 396}, {189, 411}, {239,
457}, {21, 306}, {113, 345}, {221, 501}, {230, 462}, {36, 269}, {126, 343}, {14,
292}, {244, 478}, {192, 490}, {205, 487}, {209, 507}, {243, 473}, {40, 259},
{251, 464}, {135, 428}, {68, 367}, {106, 326}, {253, 465}, {151, 443}, {57,
276}, {131, 430}, {71, 362}, {105, 324}, {198, 491}, {72, 358}, {92, 370}, {48,
287}, {147, 444}, {104, 327}, {54, 262}, {136, 440}, {57, 265}, {198, 502},
{210, 482}, {31, 302}, {245, 452}, {147, 418}, {142, 447}, {100, 341}, {233,
472}, {243, 450}, {7, 309}, {250, 456}, {121, 331}, {56, 266}, {97, 339}, {10,
313}, {249, 458}, {73, 378}, {98, 342}, {247, 451}, {137, 445}, {118, 322},
{102, 338}, {48, 261}, {163, 406}, {179, 390}, {22, 288}, {149, 419}, {127,
329}, {46, 280}, {210, 484}, {90, 365}, {119, 320}, {188, 395}, {217, 494},
{228, 467}, {64, 376}, {248, 448}, {142, 438}, {1, 312}, {159, 422}, {24, 289},
{102, 351}, {197, 508}, {47, 277}, {147, 425}, {143, 437}, {139, 433}, {90,
352}, {224, 474}, {101, 350}, {107, 336}, {237, 470}, {74, 374}, {204, 496},
{20, 297}, {152, 421}, {31, 290}, {46, 275}, {58, 263}, {86, 363}, {108, 337},
{3, 317}, {125, 323}, {24, 294}, {80, 366}, {207, 497}, {45, 365}, {249, 441},
{246, 438}, {66, 258}, {173, 493}, {63, 382}, {114, 307}, {88, 281}, {1, 323},
{134, 452}, {2, 320}, {39, 357}, {89, 283}, {185, 507}, {217, 411}, {235, 425},
{4, 327}, {24, 347}, {42, 361}, {173, 494}, {233, 426}, {11, 335}, {249, 445},
{126, 314}, {63, 379}, {165, 481}, {72, 269}, {79, 266}, {99, 294}, {81, 279},
{153, 479}, {143, 457}, {112, 310}, {88, 286}, {207, 393}, {223, 409}, {235,
428}, {245, 434}, {150, 478}, {161, 489}, {168, 480}, {104, 289}, {130, 459},
{76, 262}, {190, 500}, {191, 501}, {240, 442}, {81, 282}, {94, 277}, {169, 482},
{14, 322}, {62, 370}, {240, 444}, {33, 364}, {221, 400}, {131, 461}, {206, 384},
{109, 290}, {151, 472}, {125, 306}, {77, 285}, {140, 476}, {129, 465}, {84,
260}, {167, 503}, {169, 505}, {183, 487}, {195, 403}, {174, 511}, {229, 436},
{37, 375}, {45, 383}, {35, 368}, {138, 473}, {37, 374}, {201, 410}, {206, 413},
{210, 385}, {83, 263}, {244, 416}, {129, 469}, {188, 488}, {203, 415}, {214,
386}, {52, 353}, {150, 451}, {148, 449}, {90, 271}, {93, 264}, {163, 502}, {216,
397}, {29, 331}, {128, 470}, {56, 366}, {87, 257}, {13, 346}, {70, 273}, {178,
485}, {198, 401}, {103, 319}, {179, 491}, {58, 355}, {87, 270}, {182, 495},
{192, 409}, {220, 389}, {222, 391}, {241, 424}, {8, 338}, {118, 300}, {27, 321},
{185, 483}, {196, 414}, {82, 265}, {255, 420}, {158, 453}, {237, 433}, {57,
356}, {185, 484}, {15, 337}, {158, 448}, {96, 318}, {37, 378}, {132, 475}, {119,
296}, {215, 392}, {44, 332}, {81, 305}, {110, 270}, {4, 357}, {18, 368}, {22,
372}, {176, 466}, {230, 388}, {148, 503}, {6, 354}, {121, 285}, {19, 375}, {33,
325}, {80, 308}, {184, 476}, {20, 369}, {228, 385}, {116, 274}, {251, 413},
{142, 488}, {169, 463}, {232, 398}, {20, 371}, {161, 454}, {16, 376}, {23, 383},
{163, 459}, {219, 435}, {242, 410}, {35, 330}, {249, 400}, {246, 415}, {68,
301}, {112, 281}, {219, 434}, {79, 293}, {135, 493}, {176, 474}, {10, 353}, {48,
347}, {166, 461}, {5, 361}, {52, 344}, {104, 260}, {109, 257}, {195, 431}, {49,
348}, {178, 479}, {13, 355}, {141, 483}, {16, 382}, {208, 446}, {236, 386},
{121, 278}, {151, 504}, {145, 510}, {95, 303}, {199, 439}, {157, 492}, {217,
424}, {122, 264}, {247, 389}, {147, 481}, {126, 268}, {200, 442}, {230, 404},
{160, 467}, {168, 475}, {53, 321}, {161, 469}, {148, 480}, {127, 267}, {92,
296}, {208, 420}, {32, 341}, {255, 394}, {162, 471}, {79, 314}, {3, 373}, {92,
298}, {97, 279}, {229, 403}, {232, 414}, {14, 377}, {91, 300}, {107, 284}, {220,
427}, {5, 381}, {145, 489}, {135, 511}, {98, 282}, {200, 432}, {29, 356}, {138,
499}, {52, 333}, {55, 334}, {222, 423}, {229, 412}, {65, 315}, {73, 307}, {235,
401}, {237, 407}, {28, 359}, {252, 391}, {143, 500}, {137, 498}, {116, 271},
{75, 311}, {252, 384}, {134, 506}, {133, 505}, {221, 417}, {17, 364}, {240,
397}, {42, 340}, {253, 387}, {131, 509}, {64, 318}, {85, 299}, {110, 272}, {170,
468}, {187, 453}, {236, 402}, {55, 328}, {96, 287}, {213, 426}, {56, 440}, {124,
508}, {76, 460}, {83, 466}, {253, 380}, {223, 350}, {227, 354}, {129, 259},
{145, 275}, {212, 342}, {228, 358}, {111, 492}, {202, 329}, {235, 360}, {236,
367}, {146, 278}, {211, 343}, {23, 402}, {168, 301}, {170, 303}, {238, 363},
{41, 431}, {189, 315}, {191, 313}, {223, 345}, {80, 471}, {130, 261}, {242,
373}, {42, 418}, {162, 298}, {55, 447}, {34, 427}, {149, 284}, {75, 450}, {172,
293}, {181, 316}, {218, 339}, {238, 359}, {213, 351}, {224, 362}, {4, 399},
{250, 369}, {75, 455}, {156, 272}, {180, 312}, {194, 334}, {11, 390}, {54, 443},
{188, 305}, {5, 395}, {247, 377}, {150, 280}, {25, 407}, {59, 437}, {214, 344},
{11, 388}, {251, 372}, {114, 509}, {194, 333}, {50, 419}, {186, 299}, {204,
349}, {212, 325}, {84, 454}, {206, 348}, {216, 330}, {183, 292}, {30, 394}, {51,
423}, {108, 504}, {9, 412}, {245, 352}, {160, 309}, {158, 267}, {211, 326}, {38,
432}, {56, 430}, {101, 499}, {49, 422}, {155, 268}, {101, 498}, {105, 510},
{176, 295}, {180, 291}, {219, 332}, {12, 404}, {87, 463}, {99, 506}, {164, 317},
{167, 318}, {234, 371}, {25, 387}, {136, 274}, {124, 486}, {55, 429}, {173,
311}, {186, 288}, {202, 336}, {3, 408}, {62, 421}, {9, 405}, {43, 439}, {47,
435}, {82, 462}, {71, 474}, {217, 324}, {16, 398}, {67, 477}, {86, 456}, {111,
497}, {174, 304}, {214, 328}, {227, 381}, {9, 406}, {19, 396}, {62, 417}, {75,
468}, {79, 464}, {111, 496}, {177, 302}, {182, 297}, {203, 340}, {27, 443},
{254, 350}, {113, 465}, {59, 411}, {187, 283}, {230, 326}, {67, 482}, {162,
259}, {74, 491}, {78, 495}, {164, 261}, {167, 262}, {41, 395}, {154, 312}, {139,
297}, {94, 508}, {31, 444}, {133, 294}, {112, 467}, {70, 485}, {107, 456}, {49,
405}, {253, 345}, {124, 472}, {50, 406}, {81, 501}, {181, 273}, {194, 358},
{202, 366}, {244, 336}, {44, 393}, {175, 266}, {192, 357}, {226, 327}, {231,
322}, {240, 341}, {46, 392}, {93, 507}, {203, 365}, {208, 374}, {220, 378}, {40,
399}, {151, 304}, {77, 490}, {244, 339}, {8, 416}, {140, 292}, {17, 441}, {78,
486}, {88, 497}, {159, 310}, {144, 313}, {138, 291}, {198, 367}, {15, 421},
{247, 349}, {38, 396}, {96, 458}, {100, 462}, {26, 433}, {153, 306}, {30, 437},
{166, 269}, {191, 276}, {203, 352}, {117, 473}, {171, 263}, {199, 363}, {64,
493}, {141, 288}, {125, 464}, {73, 484}, {184, 277}, {64, 494}, {143, 289}, {18,
445}, {146, 317}, {136, 295}, {111, 448}, {28, 429}, {162, 275}, {120, 457},
{118, 455}, {86, 487}, {95, 494}, {241, 320}, {28, 430}, {141, 319}, {68, 502},
{229, 343}, {241, 323}, {12, 447}, {53, 390}, {207, 380}, {12, 440}, {255, 331},
{160, 276}, {128, 308}, {120, 460}, {45, 409}, {172, 280}, {107, 478}, {127,
458}, {234, 351}, {96, 470}, {180, 258}, {228, 338}, {242, 324}, {21, 418},
{153, 302}, {139, 316}, {117, 450}, {115, 452}, {72, 496}, {123, 451}, {101,
477}, {232, 337}, {246, 335}, {12, 438}, {22, 428}, {25, 419}, {243, 329}, {122,
449}, {153, 290}, {164, 287}, {201, 370}, {21, 425}, {181, 265}, {37, 408},
{163, 286}, {231, 346}, {10, 436}, {197, 379}, {214, 360}, {232, 342}, {25,
422}, {1, 449}, {89, 409}, {201, 265}, {54, 503}, {97, 416}, {204, 269}, {237,
300}, {34, 480}, {66, 384}, {67, 385}, {69, 391}, {178, 368}, {32, 483}, {50,
502}, {63, 507}, {190, 378}, {14, 459}, {60, 505}, {71, 386}, {193, 260}, {35,
485}, {127, 441}, {118, 433}, {39, 495}, {117, 445}, {69, 397}, {82, 410}, {171,
355}, {179, 379}, {206, 262}, {17, 472}, {251, 306}, {152, 337}, {182, 383},
{190, 375}, {15, 453}, {21, 479}, {171, 353}, {200, 258}, {221, 279}, {26, 465},
{121, 434}, {35, 488}, {84, 415}, {91, 400}, {165, 366}, {57, 501}, {120, 436},
{73, 389}, {32, 493}, {39, 490}, {179, 382}, {215, 282}, {236, 289}, {10, 452},
{142, 320}, {140, 322}, {13, 451}, {85, 411}, {184, 374}, {193, 271}, {213,
283}, {15, 448}, {26, 469}, {92, 403}, {50, 482}, {227, 307}, {53, 484}, {76,
413}, {88, 393}, {103, 438}, {181, 356}, {135, 341}, {213, 263}, {44, 511},
{122, 425}, {58, 489}, {91, 392}, {231, 308}, {7, 467}, {8, 476}, {222, 266},
{125, 424}, {154, 335}, {239, 314}, {106, 444}, {186, 364}, {30, 457}, {144,
327}, {115, 420}, {165, 370}, {70, 414}, {116, 428}, {114, 426}, {199, 287}, {7,
478}, {154, 323}, {103, 446}, {176, 361}, {209, 264}, {241, 296}, {128, 346},
{252, 294}, {145, 331}, {207, 277}, {219, 257}, {47, 500}, {74, 401}, {182,
365}, {197, 286}, {202, 273}, {59, 487}, {157, 321}, {63, 483}, {197, 281},
{234, 310}, {6, 475}, {53, 491}, {140, 338}, {133, 347}, {100, 442}, {6, 473},
{18, 461}, {62, 481}, {167, 376}, {209, 270}, {1, 480}, {52, 469}, {86, 439},
{201, 296}, {210, 307}, {218, 315}, {69, 423}, {255, 285}, {126, 412}, {174,
332}, {216, 314}, {16, 499}, {245, 278}, {27, 504}, {99, 384}, {239, 268}, {131,
359}, {155, 383}, {116, 401}, {152, 381}, {117, 400}, {132, 354}, {250, 284},
{215, 305}, {226, 260}, {30, 505}, {146, 373}, {134, 353}, {102, 385}, {106,
397}, {67, 427}, {159, 375}, {22, 511}, {23, 510}, {36, 461}, {195, 298}, {225,
264}, {2, 488}, {119, 413}, {120, 403}, {183, 348}, {24, 500}, {161, 333}, {98,
398}, {110, 386}, {226, 270}, {218, 311}, {250, 279}, {28, 498}, {74, 420}, {93,
435}, {105, 391}, {106, 388}, {225, 271}, {18, 509}, {93, 434}, {100, 404},
{129, 369}, {196, 308}, {152, 361}, {157, 364}, {170, 347}, {38, 468}, {108,
414}, {166, 340}, {226, 272}, {47, 476}, {60, 463}, {89, 426}, {171, 344}, {187,
328}, {205, 318}, {225, 274}, {234, 281}, {29, 489}, {138, 382}, {113, 389},
{238, 282}, {144, 357}, {150, 355}, {192, 309}, {41, 479}, {188, 330}, {27,
492}, {246, 257}, {44, 475}, {60, 459}, {95, 424}, {42, 466}, {139, 371}, {123,
387}, {61, 453}, {66, 442}, {103, 415}, {185, 321}, {211, 299}, {243, 267}, {99,
410}, {141, 372}, {137, 368}, {115, 394}, {68, 446}, {160, 346}, {91, 417},
{130, 377}, {215, 300}, {11, 503}, {132, 376}, {58, 454}, {76, 432}, {110, 402},
{211, 303}, {82, 431}, {208, 301}, {216, 293}, {224, 285}, {4, 506}, {31, 481},
{36, 474}, {40, 471}, {155, 356}, {177, 334}, {186, 325}, {61, 512}, {90, 512},
{177, 512}, {193, 512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 290}
under the group generated by the following permutations:
a: (2, 6)(4, 8)(10, 14)(12, 16)(17, 21)(19, 23)(25, 29)(27, 31)(33, 122)(34,
125)(35, 114)(36, 117)(37, 105)(38, 110)(39, 97)(40, 102)(41, 124)(42, 127)(43,
116)(44, 119)(45, 107)(46, 112)(47, 99)(48, 104)(49, 121)(50, 126)(51, 113)(52,
118)(53, 106)(54, 109)(55, 98)(56, 101)(57, 123)(58, 128)(59, 115)(60, 120)(61,
108)(62, 111)(63, 100)(64, 103)(65, 77)(66, 93)(67, 79)(68, 95)(69, 73)(70,
89)(71, 75)(72, 91)(74, 85)(76, 87)(78, 81)(80, 83)(82, 94)(84, 96)(86, 90)(88,
92)(129, 139)(130, 144)(131, 137)(132, 142)(133, 143)(134, 140)(135, 141)(136,
138)(145, 159)(146, 156)(147, 157)(148, 154)(149, 155)(150, 160)(151, 153)(152,
158)(161, 237)(162, 234)(163, 229)(164, 226)(165, 254)(166, 249)(167, 246)(168,
241)(169, 239)(170, 236)(171, 231)(172, 228)(173, 256)(174, 251)(175, 248)(176,
243)(177, 238)(178, 233)(179, 230)(180, 225)(181, 253)(182, 250)(183, 245)(184,
242)(185, 240)(186, 235)(187, 232)(188, 227)(189, 255)(190, 252)(191, 247)(192,
244)(193, 199)(194, 215)(195, 197)(196, 213)(198, 211)(200, 209)(201, 207)(202,
223)(203, 205)(204, 221)(206, 219)(208, 217)(210, 216)(212, 214)(218, 224)(220,
222)(257, 262)(258, 264)(259, 371)(260, 287)(261, 327)(263, 308)(265, 380)(266,
477)(267, 361)(268, 419)(269, 400)(270, 432)(271, 439)(272, 317)(273, 345)(274,
291)(275, 310)(276, 451)(277, 410)(278, 405)(279, 495)(280, 467)(281, 298)(282,
334)(283, 414)(284, 383)(285, 315)(286, 403)(288, 428)(289, 347)(290, 443)(292,
452)(293, 385)(294, 500)(295, 473)(296, 393)(297, 369)(299, 401)(300, 333)(301,
424)(302, 504)(303, 367)(304, 306)(305, 486)(307, 330)(309, 478)(311, 362)(312,
449)(313, 377)(314, 482)(316, 465)(318, 415)(319, 493)(320, 475)(321, 444)(322,
353)(323, 480)(324, 374)(325, 360)(326, 491)(328, 342)(329, 466)(331, 422)(332,
413)(335, 503)(336, 409)(337, 453)(338, 399)(339, 490)(340, 458)(341, 483)(343,
502)(344, 455)(346, 355)(348, 434)(349, 501)(350, 366)(351, 471)(352, 487)(354,
488)(356, 387)(357, 416)(358, 392)(359, 429)(363, 512)(364, 425)(365, 456)(368,
509)(370, 497)(372, 511)(373, 408)(375, 510)(376, 438)(378, 391)(379, 462)(381,
395)(382, 404)(384, 435)(386, 468)(388, 390)(389, 423)(394, 437)(396, 402)(397,
484)(398, 447)(406, 412)(407, 489)(411, 420)(417, 496)(418, 441)(421, 448)(426,
485)(427, 464)(430, 498)(431, 508)(433, 469)(436, 459)(440, 499)(442, 507)(445,
461)(446, 494)(450, 474)(454, 470)(457, 505)(460, 463)(472, 479)(476, 506)(481,
492) (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, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21,
22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 35)(34, 36)(37, 39)(38, 40)(41,
43)(42, 44)(45, 47)(46, 48)(49, 51)(50, 52)(53, 55)(54, 56)(57, 59)(58, 60)(61,
63)(62, 64)(65, 70)(66, 69)(67, 72)(68, 71)(73, 78)(74, 77)(75, 80)(76, 79)(81,
86)(82, 85)(83, 88)(84, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 107)(98,
108)(99, 105)(100, 106)(101, 111)(102, 112)(103, 109)(104, 110)(113, 123)(114,
124)(115, 121)(116, 122)(117, 127)(118, 128)(119, 125)(120, 126)(129, 149)(130,
150)(131, 151)(132, 152)(133, 145)(134, 146)(135, 147)(136, 148)(137, 157)(138,
158)(139, 159)(140, 160)(141, 153)(142, 154)(143, 155)(144, 156)(161, 169)(162,
170)(163, 171)(164, 172)(165, 173)(166, 174)(167, 175)(168, 176)(177, 185)(178,
186)(179, 187)(180, 188)(181, 189)(182, 190)(183, 191)(184, 192)(193, 209)(194,
210)(195, 211)(196, 212)(197, 213)(198, 214)(199, 215)(200, 216)(201, 217)(202,
218)(203, 219)(204, 220)(205, 221)(206, 222)(207, 223)(208, 224)(257, 415)(258,
330)(259, 396)(260, 270)(261, 280)(262, 266)(263, 286)(264, 271)(265, 411)(267,
473)(268, 457)(269, 427)(272, 327)(273, 315)(274, 449)(275, 347)(276, 292)(277,
409)(278, 452)(279, 456)(281, 351)(282, 363)(283, 379)(284, 369)(285, 420)(287,
392)(288, 479)(289, 402)(290, 319)(291, 395)(293, 432)(294, 510)(295, 480)(296,
424)(297, 375)(298, 303)(299, 431)(300, 470)(301, 474)(302, 483)(304, 461)(305,
439)(306, 372)(307, 486)(308, 455)(309, 476)(310, 371)(311, 366)(312, 488)(313,
405)(314, 460)(316, 422)(317, 399)(318, 417)(320, 323)(321, 429)(322, 346)(324,
410)(325, 485)(326, 462)(328, 491)(329, 450)(331, 394)(332, 340)(333, 482)(334,
484)(335, 438)(336, 339)(337, 398)(338, 467)(341, 444)(342, 414)(343, 403)(344,
502)(345, 380)(348, 423)(349, 389)(350, 497)(352, 434)(353, 406)(354, 381)(355,
459)(356, 437)(357, 408)(358, 385)(359, 504)(360, 401)(361, 475)(362, 446)(364,
368)(365, 435)(367, 386)(370, 494)(373, 506)(374, 490)(376, 421)(377, 451)(378,
495)(382, 453)(383, 500)(384, 391)(387, 465)(388, 404)(390, 447)(393, 466)(397,
442)(400, 458)(407, 433)(412, 436)(413, 464)(416, 478)(418, 511)(419, 469)(425,
428)(426, 508)(430, 443)(440, 503)(441, 445)(448, 499)(454, 463)(468, 471)(472,
509)(477, 496)(481, 493)(487, 501)(489, 505)(492, 498)(507, 512)
c: (6, 17)(8, 19)(14, 25)(16, 27)(33, 180)(34, 168)(37, 184)(38, 164)(43,
186)(44, 174)(47, 190)(48, 170)(49, 183)(50, 163)(53, 179)(54, 167)(59, 189)(60,
169)(63, 185)(64, 173)(65, 86)(67, 88)(73, 94)(75, 96)(97, 250)(98, 238)(101,
254)(102, 234)(107, 244)(108, 232)(111, 248)(112, 228)(113, 253)(114, 233)(117,
249)(118, 237)(123, 247)(124, 227)(127, 243)(128, 231)(130, 149)(132, 151)(138,
157)(140, 159)(197, 210)(199, 212)(205, 218)(207, 220)(261, 396)(277, 378)(281,
385)(284, 416)(286, 482)(287, 468)(291, 364)(292, 422)(304, 475)(307, 508)(310,
338)(311, 318)(315, 487)(321, 382)(322, 407)(325, 439)(339, 456)(342, 363)(354,
472)(375, 476)(376, 443)(377, 387)(379, 484)(380, 389)(393, 427)(398, 504)(419,
459)(441, 473)(450, 458)(455, 470)(477, 497)(492, 499)
d: (2, 21)(4, 23)(5, 18)(7, 20)(10, 29)(12, 31)(13, 26)(15, 28)(35, 41)(36,
42)(39, 45)(40, 46)(51, 57)(52, 58)(55, 61)(56, 62)(69, 82)(70, 81)(71, 84)(72,
83)(77, 90)(78, 89)(79, 92)(80, 91)(97, 244)(98, 232)(99, 252)(100, 240)(101,
248)(102, 228)(103, 256)(104, 236)(105, 242)(106, 230)(107, 250)(108, 238)(109,
246)(110, 226)(111, 254)(112, 234)(113, 247)(114, 227)(115, 255)(116, 235)(117,
243)(118, 231)(119, 251)(120, 239)(121, 245)(122, 225)(123, 253)(124, 233)(125,
241)(126, 229)(127, 249)(128, 237)(129, 150)(131, 152)(134, 145)(136, 147)(137,
158)(139, 160)(142, 153)(144, 155)(161, 171)(162, 172)(165, 175)(166, 176)(177,
187)(178, 188)(181, 191)(182, 192)(193, 214)(194, 213)(195, 216)(196, 215)(201,
222)(202, 221)(203, 224)(204, 223)(259, 280)(260, 386)(263, 333)(265, 423)(266,
370)(267, 445)(268, 436)(269, 466)(271, 360)(273, 501)(274, 425)(275, 399)(276,
316)(279, 336)(282, 414)(283, 334)(285, 352)(290, 438)(293, 298)(295, 418)(296,
464)(297, 309)(300, 308)(302, 447)(305, 485)(306, 320)(313, 356)(314, 403)(327,
402)(328, 512)(329, 400)(330, 431)(331, 452)(337, 359)(340, 474)(344, 454)(345,
349)(346, 433)(350, 496)(351, 358)(353, 489)(355, 469)(357, 383)(361, 461)(362,
415)(365, 490)(366, 417)(368, 395)(369, 478)(371, 467)(381, 509)(391, 410)(392,
471)(397, 462)(404, 444)(409, 495)(421, 430)(426, 486)(429, 453)(440, 481)(448,
498)(451, 465)(479, 488)(506, 510)
e: (1, 3)(2, 4)(5, 7)(6, 8)(9, 11)(10, 12)(13, 15)(14, 16)(17, 19)(18, 20)(21,
23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41,
45)(42, 46)(43, 47)(44, 48)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59,
63)(60, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81,
89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)(97, 114)(98,
113)(99, 116)(100, 115)(101, 118)(102, 117)(103, 120)(104, 119)(105, 122)(106,
121)(107, 124)(108, 123)(109, 126)(110, 125)(111, 128)(112, 127)(129, 131)(130,
132)(133, 135)(134, 136)(137, 139)(138, 140)(141, 143)(142, 144)(145, 147)(146,
148)(149, 151)(150, 152)(153, 155)(154, 156)(157, 159)(158, 160)(161, 165)(162,
166)(163, 167)(164, 168)(169, 173)(170, 174)(171, 175)(172, 176)(177, 181)(178,
182)(179, 183)(180, 184)(185, 189)(186, 190)(187, 191)(188, 192)(193, 201)(194,
202)(195, 203)(196, 204)(197, 205)(198, 206)(199, 207)(200, 208)(209, 217)(210,
218)(211, 219)(212, 220)(213, 221)(214, 222)(215, 223)(216, 224)(225, 242)(226,
241)(227, 244)(228, 243)(229, 246)(230, 245)(231, 248)(232, 247)(233, 250)(234,
249)(235, 252)(236, 251)(237, 254)(238, 253)(239, 256)(240, 255)(257, 343)(258,
374)(259, 461)(260, 296)(261, 475)(262, 502)(263, 417)(264, 324)(265, 512)(266,
344)(267, 467)(268, 290)(269, 471)(270, 424)(271, 410)(272, 323)(273, 334)(274,
506)(275, 418)(276, 453)(277, 439)(278, 388)(279, 426)(280, 361)(281, 458)(282,
345)(283, 501)(284, 472)(285, 397)(286, 318)(287, 393)(288, 500)(289, 372)(291,
476)(292, 382)(293, 474)(294, 428)(295, 399)(297, 368)(298, 340)(299, 435)(300,
350)(301, 432)(302, 356)(303, 332)(304, 396)(305, 409)(306, 402)(307, 339)(308,
496)(309, 395)(310, 441)(311, 482)(312, 408)(313, 447)(314, 362)(315, 484)(316,
429)(317, 480)(319, 457)(320, 327)(321, 422)(322, 499)(325, 378)(326, 434)(328,
423)(329, 358)(330, 490)(331, 444)(333, 366)(335, 412)(336, 486)(337, 451)(338,
473)(341, 394)(342, 389)(346, 448)(347, 511)(348, 491)(349, 414)(351, 400)(352,
462)(353, 440)(354, 416)(355, 421)(357, 488)(359, 465)(360, 391)(363, 380)(364,
375)(365, 431)(367, 413)(369, 509)(370, 454)(371, 445)(373, 449)(376, 459)(377,
398)(379, 487)(381, 478)(383, 479)(384, 401)(385, 450)(386, 464)(387, 504)(390,
405)(392, 466)(403, 415)(404, 452)(406, 503)(407, 492)(411, 507)(419, 443)(420,
442)(425, 510)(427, 468)(430, 469)(433, 498)(436, 438)(437, 483)(446, 460)(455,
477)(456, 508)(463, 494)(470, 497)(481, 489)(485, 495)(493, 505)
f: (33, 34)(35, 36)(37, 38)(39, 40)(41, 42)(43, 44)(45, 46)(47, 48)(49, 50)(51,
52)(53, 54)(55, 56)(57, 58)(59, 60)(61, 62)(63, 64)(65, 67)(66, 68)(69, 71)(70,
72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 83)(82, 84)(85, 87)(86, 88)(89, 91)(90,
92)(93, 95)(94, 96)(97, 102)(98, 101)(99, 104)(100, 103)(105, 110)(106,
109)(107, 112)(108, 111)(113, 118)(114, 117)(115, 120)(116, 119)(121, 126)(122,
125)(123, 128)(124, 127)(129, 139)(130, 140)(131, 137)(132, 138)(133, 143)(134,
144)(135, 141)(136, 142)(145, 155)(146, 156)(147, 153)(148, 154)(149, 159)(150,
160)(151, 157)(152, 158)(161, 181)(162, 182)(163, 183)(164, 184)(165, 177)(166,
178)(167, 179)(168, 180)(169, 189)(170, 190)(171, 191)(172, 192)(173, 185)(174,
186)(175, 187)(176, 188)(193, 201)(194, 202)(195, 203)(196, 204)(197, 205)(198,
206)(199, 207)(200, 208)(209, 217)(210, 218)(211, 219)(212, 220)(213, 221)(214,
222)(215, 223)(216, 224)(225, 241)(226, 242)(227, 243)(228, 244)(229, 245)(230,
246)(231, 247)(232, 248)(233, 249)(234, 250)(235, 251)(236, 252)(237, 253)(238,
254)(239, 255)(240, 256)(257, 326)(258, 301)(259, 297)(260, 410)(261, 476)(262,
491)(263, 501)(264, 424)(265, 454)(266, 328)(267, 381)(268, 331)(269, 485)(270,
324)(271, 296)(272, 373)(273, 333)(274, 320)(275, 383)(276, 355)(277, 287)(278,
412)(279, 351)(280, 309)(281, 456)(282, 350)(283, 417)(284, 310)(285, 314)(286,
487)(288, 511)(289, 294)(290, 444)(291, 475)(292, 459)(293, 490)(295, 488)(298,
365)(299, 332)(300, 345)(302, 481)(303, 435)(304, 364)(305, 466)(306, 425)(307,
450)(308, 349)(311, 484)(312, 480)(313, 353)(315, 482)(316, 469)(317, 408)(318,
379)(319, 341)(321, 443)(322, 377)(323, 449)(325, 427)(327, 506)(329, 486)(330,
474)(334, 366)(335, 388)(336, 358)(337, 448)(338, 416)(339, 385)(340, 431)(342,
477)(343, 434)(344, 423)(346, 451)(347, 500)(348, 502)(352, 403)(354, 473)(356,
489)(357, 399)(359, 498)(360, 464)(361, 395)(362, 397)(363, 497)(367, 384)(368,
461)(369, 371)(370, 512)(372, 428)(374, 432)(375, 396)(376, 382)(378, 468)(380,
470)(386, 391)(387, 407)(389, 455)(390, 503)(392, 409)(393, 439)(394, 457)(398,
499)(400, 426)(401, 413)(402, 510)(404, 438)(405, 406)(411, 463)(414, 496)(415,
462)(418, 479)(419, 422)(420, 460)(421, 453)(429, 430)(433, 465)(436, 452)(437,
505)(440, 447)(441, 472)(442, 446)(445, 509)(458, 508)(467, 478)(471, 495)(483,
493)(492, 504)(494, 507)
g: (3, 156)(4, 144)(7, 160)(8, 140)(9, 146)(10, 134)(13, 150)(14, 130)(19,
159)(20, 139)(23, 155)(24, 143)(25, 149)(26, 129)(29, 145)(30, 133)(38, 49)(40,
51)(46, 57)(48, 59)(65, 212)(66, 200)(69, 216)(70, 196)(75, 218)(76, 206)(79,
222)(80, 202)(81, 215)(82, 195)(85, 211)(86, 199)(91, 221)(92, 201)(95, 217)(96,
205)(97, 118)(99, 120)(105, 126)(107, 128)(162, 181)(164, 183)(170, 189)(172,
191)(229, 242)(231, 244)(237, 250)(239, 252)(259, 316)(261, 292)(265, 298)(268,
510)(273, 471)(275, 356)(276, 280)(279, 300)(284, 407)(287, 487)(293, 423)(294,
457)(303, 411)(308, 336)(313, 399)(314, 391)(315, 468)(317, 405)(322, 416)(324,
343)(339, 455)(346, 478)(347, 437)(348, 432)(369, 433)(373, 412)(384, 460)(392,
501)(396, 422)(403, 410)(436, 506)(456, 470)
h: (1, 33, 157, 185, 32, 64, 132, 168)(2, 38, 137, 190, 12, 48, 131, 184)(3, 35,
19, 55, 24, 56, 8, 36)(4, 40, 20, 39)(5, 50, 153, 189, 15, 60, 147, 183)(6, 34,
154, 186, 27, 63, 135, 167)(7, 52, 23, 51)(9, 41, 25, 61, 30, 62, 14, 42)(10,
46, 26, 45)(11, 43, 151, 179, 22, 54, 138, 174)(13, 58, 29, 57)(16, 44, 148,
180, 17, 53, 141, 173)(18, 37, 142, 170, 28, 47, 136, 164)(21, 49, 158, 169, 31,
59, 152, 163)(65, 111, 209, 240, 205, 227, 68, 125)(66, 127, 210, 256, 217, 232,
88, 122)(67, 109, 85, 108, 197, 235, 206, 243)(69, 107, 194, 236, 222, 244, 72,
110)(70, 112, 214, 252, 202, 228, 71, 105)(73, 103, 95, 98, 207, 225, 200,
249)(74, 119, 75, 101, 219, 230, 199, 233)(76, 117, 220, 246, 211, 238, 94,
116)(77, 99, 80, 102, 224, 242, 196, 234)(78, 104, 79, 97, 204, 226, 216,
250)(81, 123, 193, 239, 221, 247, 84, 126)(82, 128, 213, 255, 201, 231, 83,
121)(86, 124, 198, 251, 218, 248, 87, 106)(89, 115, 92, 118, 223, 245, 195,
237)(90, 120, 91, 113, 203, 229, 215, 253)(93, 100, 96, 114, 208, 241, 212,
254)(129, 182, 144, 172)(130, 166, 156, 188, 149, 177, 143, 175)(133, 165, 140,
176, 146, 178, 159, 187)(134, 162, 139, 192)(145, 181, 160, 171)(150, 161, 155,
191)(257, 326, 363, 508, 401, 413, 450, 477)(258, 441, 484, 319, 494, 398, 393,
449)(259, 297, 357, 399)(260, 314, 279, 349)(261, 461, 408, 488, 396, 429, 500,
440)(262, 473, 427, 335, 299, 504, 379, 428)(263, 331, 265, 346)(264, 442, 458,
307, 446, 424, 342, 497)(266, 416, 269, 272, 330, 284, 334, 289)(267, 482, 290,
411, 337, 286, 425, 348)(268, 501, 451, 454)(270, 397, 456, 486, 367, 464, 339,
496)(271, 460, 400, 389, 415, 343, 282, 380)(273, 467, 344, 510)(274, 432, 445,
378, 438, 303, 359, 277)(275, 316, 309, 353)(276, 355, 489, 356)(278, 431, 407,
283, 394, 370, 322, 466)(280, 469, 383, 313)(281, 360, 384, 329, 385, 362, 324,
414)(285, 410, 308, 351)(287, 509, 374, 320, 468, 498, 435, 404)(288, 443, 382,
511, 503, 291, 304, 390)(292, 361, 406, 479, 422, 453, 505, 481)(293, 369, 495,
327)(294, 366, 338, 474, 373, 485, 310, 328)(295, 317, 368, 375, 447, 347, 430,
476)(296, 455, 350, 434, 462, 470, 426, 420)(298, 433, 409, 452)(300, 345, 352,
403)(301, 323, 325, 492, 507, 341, 318, 354)(302, 437, 421, 459, 418, 405, 395,
419)(305, 387, 512, 457, 417, 377, 340, 412)(306, 315, 448, 463, 444, 487, 381,
502)(311, 499, 332, 388, 439, 472, 491, 372)(312, 364, 321, 483, 493, 376, 475,
480)(333, 402, 423, 478)(336, 358, 386, 391)(365, 436, 392, 465)(371, 490, 506,
471)
C4[ 512, 433 ]
512
-1 312 323 480 449
-2 320 488 295 274
-3 408 272 317 373
-4 506 399 357 327
-5 267 381 361 395
-6 473 354 475 291
-7 309 280 467 478
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-506 99 242 134 4
-507 209 93 63 185
-508 233 124 94 197
-509 233 114 18 131
-510 23 145 105 252
-511 22 44 135 174
-512 177 90 61 193
0