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