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