Graph forms
for C4 [ 512, 300 ] = UG(ATD[512,716])
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On this page are computer-accessible forms for the graph C4[ 512, 300 ] =
UG(ATD[512,716]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {8, 9}, {1, 9}, {70, 79}, {146, 155}, {150, 156}, {180, 190},
{438, 445}, {67, 79}, {438, 442}, {151, 155}, {179, 191}, {180, 185}, {416,
429}, {4, 10}, {437, 443}, {5, 10}, {147, 156}, {179, 188}, {1, 17}, {334, 351},
{66, 80}, {160, 178}, {290, 305}, {333, 350}, {290, 310}, {359, 371}, {334,
346}, {289, 308}, {2, 20}, {333, 347}, {289, 311}, {2, 21}, {71, 80}, {1, 25},
{1, 24}, {134, 159}, {360, 370}, {294, 317}, {131, 159}, {294, 314}, {7, 26},
{360, 373}, {4, 26}, {293, 315}, {6, 25}, {359, 376}, {17, 48}, {130, 160},
{152, 186}, {403, 432}, {459, 488}, {72, 111}, {135, 160}, {9, 33}, {460, 484},
{87, 127}, {17, 57}, {155, 178}, {460, 485}, {210, 251}, {214, 252}, {469, 511},
{459, 481}, {453, 495}, {84, 127}, {468, 511}, {154, 177}, {145, 186}, {67,
111}, {157, 177}, {149, 185}, {215, 251}, {23, 58}, {450, 495}, {148, 185}, {12,
34}, {20, 58}, {13, 34}, {22, 57}, {211, 252}, {394, 442}, {451, 499}, {16, 33},
{66, 112}, {393, 443}, {413, 430}, {452, 503}, {451, 496}, {344, 364}, {410,
430}, {69, 112}, {451, 502}, {394, 447}, {136, 189}, {411, 429}, {452, 498},
{200, 255}, {393, 446}, {320, 375}, {9, 49}, {456, 496}, {404, 428}, {17, 41},
{278, 302}, {338, 363}, {404, 429}, {132, 190}, {403, 425}, {277, 303}, {133,
190}, {129, 189}, {15, 50}, {278, 299}, {12, 50}, {341, 363}, {18, 44}, {193,
255}, {14, 49}, {339, 364}, {18, 45}, {277, 298}, {24, 88}, {184, 249}, {438,
503}, {306, 371}, {23, 85}, {440, 506}, {310, 372}, {23, 84}, {311, 371}, {435,
503}, {316, 376}, {317, 376}, {184, 254}, {307, 372}, {440, 511}, {33, 105},
{295, 367}, {183, 255}, {24, 81}, {439, 510}, {41, 96}, {150, 220}, {434, 504},
{183, 252}, {292, 367}, {151, 219}, {439, 507}, {416, 492}, {39, 106}, {145,
220}, {36, 106}, {313, 375}, {38, 105}, {439, 504}, {416, 495}, {148, 219}, {41,
121}, {169, 248}, {289, 368}, {162, 241}, {270, 349}, {161, 245}, {270, 346},
{47, 122}, {161, 244}, {264, 349}, {44, 122}, {294, 368}, {174, 248}, {269,
347}, {46, 121}, {136, 223}, {256, 343}, {25, 65}, {175, 247}, {162, 248}, {260,
350}, {172, 247}, {261, 350}, {131, 223}, {257, 349}, {28, 66}, {29, 66}, {18,
114}, {385, 481}, {32, 65}, {40, 73}, {19, 113}, {130, 224}, {440, 475}, {133,
224}, {293, 320}, {304, 342}, {423, 449}, {388, 482}, {21, 114}, {389, 482},
{33, 73}, {446, 470}, {435, 475}, {24, 113}, {437, 476}, {392, 481}, {282, 368},
{445, 471}, {424, 452}, {269, 352}, {446, 467}, {424, 453}, {36, 74}, {434,
476}, {37, 74}, {445, 466}, {423, 456}, {41, 89}, {407, 487}, {395, 507}, {276,
356}, {171, 218}, {425, 472}, {415, 494}, {396, 509}, {172, 222}, {273, 355},
{279, 356}, {282, 361}, {171, 223}, {281, 365}, {278, 355}, {437, 448}, {402,
487}, {285, 360}, {281, 364}, {42, 92}, {430, 472}, {415, 489}, {396, 506}, {42,
93}, {172, 219}, {25, 97}, {431, 471}, {301, 341}, {286, 357}, {428, 471}, {403,
488}, {286, 354}, {31, 98}, {299, 342}, {28, 98}, {406, 488}, {285, 355}, {30,
97}, {298, 341}, {48, 176}, {100, 228}, {100, 229}, {47, 173}, {342, 468}, {99,
225}, {47, 172}, {379, 504}, {72, 204}, {343, 467}, {72, 205}, {337, 468}, {340,
467}, {379, 499}, {112, 249}, {380, 501}, {99, 232}, {347, 464}, {316, 432},
{71, 201}, {380, 498}, {319, 432}, {65, 209}, {366, 510}, {347, 459}, {105,
249}, {73, 217}, {273, 385}, {310, 423}, {364, 509}, {348, 461}, {318, 431},
{310, 420}, {367, 509}, {332, 478}, {309, 422}, {309, 417}, {331, 479}, {312,
428}, {71, 210}, {332, 473}, {79, 218}, {68, 210}, {348, 458}, {313, 431}, {108,
250}, {76, 218}, {276, 386}, {70, 209}, {361, 510}, {331, 476}, {109, 250}, {78,
217}, {71, 208}, {277, 386}, {63, 167}, {355, 507}, {322, 474}, {48, 169}, {306,
427}, {89, 192}, {280, 385}, {323, 473}, {63, 164}, {359, 508}, {327, 474},
{358, 507}, {309, 427}, {354, 508}, {307, 428}, {326, 473}, {8, 168}, {68, 228},
{102, 199}, {331, 490}, {7, 165}, {94, 252}, {67, 225}, {40, 138}, {7, 164},
{330, 489}, {94, 253}, {68, 231}, {93, 249}, {333, 489}, {104, 204}, {67, 230},
{97, 199}, {40, 143}, {104, 207}, {55, 144}, {89, 241}, {8, 161}, {103, 206},
{39, 142}, {363, 448}, {39, 139}, {100, 200}, {95, 242}, {92, 242}, {103, 201},
{94, 241}, {103, 200}, {49, 129}, {368, 448}, {290, 402}, {57, 137}, {38, 151},
{56, 138}, {291, 401}, {120, 203}, {325, 502}, {35, 151}, {322, 502}, {296,
412}, {264, 444}, {56, 141}, {295, 402}, {264, 445}, {52, 130}, {323, 501}, {88,
238}, {60, 138}, {53, 130}, {296, 415}, {294, 401}, {61, 138}, {85, 237}, {116,
204}, {56, 129}, {295, 414}, {117, 204}, {34, 152}, {336, 490}, {326, 508},
{113, 203}, {326, 509}, {55, 139}, {325, 505}, {83, 238}, {328, 501}, {263,
441}, {295, 409}, {39, 152}, {82, 237}, {42, 234}, {365, 429}, {304, 496}, {91,
155}, {43, 233}, {340, 406}, {303, 493}, {92, 159}, {341, 406}, {303, 492},
{337, 405}, {91, 158}, {366, 427}, {92, 154}, {45, 234}, {365, 426}, {263, 448},
{64, 137}, {80, 153}, {284, 470}, {283, 464}, {283, 471}, {284, 465}, {344,
405}, {317, 496}, {286, 464}, {283, 468}, {65, 145}, {351, 399}, {287, 463},
{117, 165}, {73, 153}, {81, 128}, {267, 474}, {268, 478}, {365, 447}, {318,
493}, {360, 443}, {267, 479}, {318, 490}, {118, 163}, {362, 447}, {351, 394},
{282, 463}, {68, 146}, {317, 491}, {86, 128}, {76, 154}, {69, 146}, {117, 162},
{77, 154}, {268, 475}, {356, 444}, {48, 233}, {357, 444}, {304, 489}, {72, 145},
{353, 443}, {118, 168}, {366, 432}, {2, 226}, {89, 185}, {81, 177}, {64, 161},
{3, 225}, {64, 166}, {97, 135}, {90, 188}, {82, 180}, {5, 226}, {90, 189}, {82,
181}, {329, 417}, {8, 225}, {374, 415}, {81, 184}, {352, 395}, {373, 414}, {100,
136}, {374, 410}, {101, 136}, {332, 418}, {373, 411}, {352, 398}, {104, 135},
{333, 418}, {49, 193}, {293, 469}, {75, 187}, {57, 201}, {336, 417}, {374, 391},
{79, 188}, {35, 215}, {371, 391}, {328, 444}, {55, 194}, {291, 470}, {78, 187},
{63, 202}, {52, 194}, {74, 188}, {60, 202}, {54, 193}, {328, 447}, {290, 469},
{62, 201}, {116, 140}, {262, 511}, {327, 446}, {34, 216}, {370, 392}, {113,
139}, {262, 508}, {119, 140}, {261, 510}, {261, 505}, {37, 216}, {118, 139},
{296, 470}, {327, 441}, {40, 215}, {375, 392}, {198, 454}, {14, 271}, {96, 353},
{83, 338}, {197, 452}, {248, 505}, {84, 342}, {197, 455}, {11, 271}, {83, 343},
{84, 339}, {198, 449}, {202, 450}, {242, 506}, {15, 262}, {203, 449}, {243,
505}, {15, 259}, {205, 450}, {245, 506}, {109, 381}, {176, 416}, {208, 449},
{254, 495}, {16, 258}, {253, 494}, {254, 490}, {110, 379}, {253, 491}, {16,
263}, {109, 378}, {31, 264}, {5, 285}, {5, 284}, {10, 272}, {191, 421}, {191,
420}, {31, 259}, {62, 288}, {6, 281}, {15, 272}, {61, 285}, {183, 407}, {231,
454}, {32, 258}, {230, 453}, {226, 454}, {32, 261}, {62, 283}, {178, 407}, {6,
288}, {227, 453}, {61, 282}, {174, 390}, {227, 459}, {176, 409}, {175, 389},
{179, 408}, {228, 463}, {171, 390}, {227, 462}, {182, 408}, {228, 458}, {170,
389}, {77, 381}, {77, 380}, {128, 433}, {175, 413}, {175, 412}, {78, 377}, {43,
275}, {158, 422}, {121, 321}, {90, 354}, {142, 439}, {91, 353}, {157, 423},
{142, 436}, {44, 279}, {141, 438}, {141, 433}, {43, 278}, {158, 419}, {127,
322}, {44, 274}, {124, 322}, {93, 354}, {157, 418}, {126, 321}, {134, 454}, {75,
266}, {106, 299}, {76, 270}, {133, 455}, {110, 300}, {216, 410}, {11, 335},
{111, 299}, {75, 271}, {134, 451}, {76, 267}, {133, 450}, {107, 300}, {241,
441}, {96, 297}, {211, 410}, {210, 409}, {213, 409}, {247, 442}, {244, 442},
{246, 441}, {96, 304}, {105, 313}, {51, 352}, {45, 376}, {111, 314}, {200, 413},
{108, 314}, {110, 313}, {2, 346}, {235, 435}, {3, 345}, {46, 372}, {10, 336},
{46, 373}, {197, 414}, {239, 436}, {45, 369}, {194, 414}, {7, 346}, {93, 256},
{13, 336}, {238, 435}, {195, 413}, {234, 436}, {6, 345}, {16, 335}, {178, 466},
{30, 383}, {120, 281}, {192, 417}, {232, 393}, {240, 401}, {80, 306}, {108,
270}, {179, 465}, {237, 398}, {27, 383}, {107, 271}, {234, 398}, {108, 265},
{120, 286}, {232, 398}, {235, 397}, {240, 406}, {107, 268}, {181, 466}, {52,
348}, {166, 462}, {119, 287}, {192, 424}, {231, 399}, {236, 388}, {52, 349},
{184, 465}, {51, 345}, {167, 461}, {235, 385}, {119, 284}, {231, 396}, {236,
391}, {163, 462}, {235, 390}, {162, 461}, {88, 296}, {217, 425}, {87, 293}, {95,
301}, {87, 292}, {166, 469}, {95, 300}, {166, 466}, {205, 440}, {223, 426},
{165, 467}, {220, 426}, {222, 424}, {222, 425}, {36, 348}, {121, 257}, {221,
421}, {239, 407}, {75, 306}, {88, 289}, {35, 345}, {206, 436}, {36, 351}, {74,
305}, {206, 437}, {239, 404}, {77, 305}, {205, 433}, {35, 350}, {165, 472},
{222, 419}, {240, 397}, {124, 258}, {125, 258}, {221, 418}, {13, 397}, {137,
265}, {115, 499}, {21, 405}, {13, 396}, {128, 257}, {21, 404}, {246, 375}, {246,
372}, {119, 500}, {245, 374}, {196, 320}, {245, 369}, {104, 493}, {118, 499},
{114, 500}, {150, 272}, {140, 266}, {14, 393}, {141, 266}, {22, 401}, {199,
320}, {153, 273}, {207, 326}, {196, 334}, {101, 494}, {98, 494}, {195, 335},
{196, 329}, {22, 408}, {156, 274}, {99, 493}, {30, 400}, {207, 321}, {157, 274},
{195, 332}, {19, 387}, {174, 318}, {116, 484}, {29, 397}, {50, 419}, {169, 312},
{224, 369}, {54, 420}, {173, 319}, {115, 481}, {102, 500}, {20, 391}, {116,
487}, {102, 501}, {192, 339}, {55, 419}, {101, 497}, {208, 324}, {19, 390},
{174, 315}, {115, 486}, {30, 395}, {232, 381}, {20, 386}, {29, 394}, {173, 314},
{51, 420}, {208, 327}, {149, 269}, {169, 305}, {144, 265}, {149, 268}, {182,
303}, {26, 384}, {182, 300}, {181, 302}, {229, 382}, {181, 297}, {226, 382},
{101, 504}, {14, 400}, {170, 308}, {227, 381}, {31, 384}, {170, 309}, {150,
265}, {147, 307}, {149, 308}, {250, 344}, {120, 477}, {253, 344}, {146, 308},
{187, 275}, {217, 369}, {236, 324}, {237, 324}, {212, 382}, {233, 323}, {117,
478}, {152, 307}, {191, 276}, {114, 478}, {211, 383}, {251, 343}, {190, 275},
{212, 377}, {115, 477}, {186, 276}, {220, 370}, {211, 380}, {221, 370}, {86,
486}, {135, 311}, {202, 378}, {64, 497}, {160, 273}, {70, 503}, {70, 500}, {87,
485}, {203, 377}, {69, 502}, {132, 311}, {240, 323}, {69, 497}, {83, 486}, {207,
378}, {82, 485}, {206, 377}, {129, 312}, {134, 312}, {12, 460}, {137, 329},
{102, 422}, {11, 457}, {168, 362}, {164, 358}, {103, 421}, {12, 463}, {224,
291}, {163, 359}, {196, 256}, {11, 462}, {164, 353}, {143, 330}, {99, 422},
{197, 256}, {38, 480}, {140, 330}, {214, 272}, {98, 421}, {168, 367}, {163,
356}, {143, 328}, {142, 329}, {43, 483}, {173, 357}, {153, 337}, {122, 434},
{58, 498}, {131, 330}, {167, 366}, {59, 497}, {132, 334}, {123, 433}, {27, 464},
{47, 484}, {131, 335}, {167, 363}, {46, 483}, {171, 358}, {159, 338}, {42, 484},
{156, 338}, {143, 321}, {78, 384}, {61, 498}, {170, 357}, {158, 337}, {132,
331}, {125, 434}, {28, 460}, {28, 461}, {26, 456}, {27, 457}, {242, 288}, {56,
491}, {59, 488}, {144, 324}, {29, 456}, {144, 325}, {54, 480}, {176, 358}, {247,
288}, {18, 458}, {91, 387}, {59, 483}, {51, 491}, {177, 361}, {213, 269}, {53,
492}, {60, 485}, {19, 457}, {58, 480}, {95, 388}, {27, 455}, {23, 458}, {94,
387}, {183, 362}, {214, 267}, {50, 492}, {90, 388}, {60, 482}, {180, 362}, {22,
457}, {63, 480}, {182, 361}, {213, 266}, {3, 483}, {243, 275}, {62, 479}, {230,
263}, {244, 277}, {230, 260}, {250, 280}, {4, 487}, {229, 262}, {59, 479}, {229,
257}, {3, 486}, {4, 482}, {126, 408}, {244, 274}, {32, 455}, {255, 280}, {53,
477}, {125, 405}, {187, 339}, {198, 302}, {236, 260}, {147, 378}, {189, 340},
{246, 287}, {254, 279}, {122, 400}, {148, 382}, {199, 301}, {214, 316}, {233,
259}, {112, 411}, {239, 260}, {243, 280}, {147, 383}, {215, 315}, {243, 287},
{251, 279}, {54, 475}, {126, 403}, {195, 302}, {209, 316}, {238, 259}, {110,
384}, {186, 340}, {53, 474}, {148, 379}, {127, 400}, {125, 402}, {194, 301},
{212, 315}, {107, 411}, {109, 412}, {126, 399}, {216, 297}, {123, 392}, {123,
399}, {106, 412}, {37, 477}, {123, 387}, {86, 430}, {209, 297}, {219, 291}, {37,
476}, {124, 389}, {198, 319}, {221, 292}, {85, 431}, {86, 427}, {124, 386},
{193, 319}, {212, 298}, {218, 292}, {38, 473}, {85, 426}, {213, 298}, {325,
512}, {395, 512}, {465, 512}, {472, 512} }>;
(II) A more general form is to represent the graph as the orbit of {8, 9}
under the group generated by the following permutations:
a: (2, 460)(4, 458)(5, 463)(6, 8)(7, 461)(9, 25)(10, 228)(11, 27)(12, 226)(13,
231)(14, 32)(15, 229)(16, 30)(18, 482)(20, 484)(21, 485)(23, 487)(26, 348)(28,
346)(29, 351)(31, 349)(33, 97)(34, 454)(35, 99)(36, 456)(37, 451)(38, 104)(39,
449)(40, 102)(41, 48)(42, 391)(43, 46)(44, 389)(45, 388)(47, 386)(49, 65)(50,
382)(51, 67)(52, 384)(53, 379)(54, 72)(55, 377)(56, 70)(58, 116)(60, 114)(61,
119)(62, 64)(63, 117)(66, 334)(68, 336)(69, 331)(71, 329)(73, 199)(74, 496)(75,
197)(76, 494)(77, 489)(78, 194)(79, 491)(80, 196)(81, 88)(82, 404)(83, 86)(84,
402)(85, 407)(87, 405)(89, 176)(90, 376)(91, 174)(92, 374)(93, 371)(94, 171)(95,
369)(96, 169)(98, 270)(100, 272)(101, 267)(103, 265)(105, 135)(106, 423)(107,
133)(108, 421)(109, 418)(110, 130)(111, 420)(112, 132)(118, 120)(121, 233)(122,
124)(123, 235)(125, 127)(126, 240)(128, 238)(129, 209)(131, 211)(134, 216)(136,
214)(137, 201)(138, 500)(139, 203)(140, 498)(141, 503)(142, 208)(143, 501)(144,
206)(145, 193)(146, 490)(147, 195)(148, 492)(149, 495)(150, 200)(151, 493)(152,
198)(153, 320)(154, 415)(155, 318)(156, 413)(157, 412)(158, 315)(159, 410)(160,
313)(161, 288)(162, 164)(163, 286)(165, 167)(166, 283)(168, 281)(170, 279)(172,
277)(173, 276)(175, 274)(177, 296)(178, 431)(179, 294)(180, 429)(181, 428)(182,
291)(183, 426)(184, 289)(185, 416)(186, 319)(187, 414)(188, 317)(189, 316)(190,
411)(191, 314)(192, 409)(202, 478)(204, 480)(205, 475)(207, 473)(210, 417)(212,
419)(213, 424)(215, 422)(217, 301)(218, 253)(219, 303)(220, 255)(221, 250)(222,
298)(223, 252)(224, 300)(225, 345)(227, 347)(230, 352)(232, 350)(234, 236)(237,
239)(241, 358)(242, 245)(243, 360)(244, 247)(246, 355)(248, 353)(249, 311)(251,
309)(254, 308)(256, 306)(257, 259)(258, 400)(260, 398)(261, 393)(263, 395)(266,
452)(268, 450)(269, 453)(271, 455)(273, 375)(275, 373)(278, 372)(280, 370)(282,
284)(285, 287)(290, 342)(292, 344)(293, 337)(295, 339)(297, 312)(299, 310)(302,
307)(304, 305)(321, 323)(322, 434)(324, 436)(325, 437)(327, 439)(330, 380)(332,
378)(333, 381)(335, 383)(338, 430)(340, 432)(341, 425)(343, 427)(354, 359)(356,
357)(361, 470)(362, 365)(363, 472)(364, 367)(366, 467)(368, 465)(385, 392)(387,
390)(397, 399)(401, 408)(403, 406)(433, 435)(441, 507)(443, 505)(446, 510)(448,
512)(462, 464)(466, 471)(468, 469)(474, 504)(476, 502)(477, 499)(479, 497) (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, 3)(2, 458)(4, 460)(5, 463)(6, 8)(7, 461)(9, 345)(10, 12)(11, 347)(14,
350)(16, 352)(17, 486)(18, 21)(19, 488)(20, 23)(22, 481)(24, 483)(25, 225)(26,
28)(27, 227)(30, 230)(32, 232)(33, 51)(34, 336)(35, 49)(36, 334)(37, 329)(38,
54)(39, 331)(40, 56)(41, 86)(42, 402)(43, 88)(44, 404)(45, 405)(46, 81)(47,
407)(48, 83)(50, 272)(52, 270)(53, 265)(55, 267)(57, 115)(59, 113)(62, 118)(64,
120)(65, 99)(66, 456)(67, 97)(68, 454)(69, 449)(70, 102)(71, 451)(72, 104)(73,
491)(74, 196)(75, 489)(76, 194)(77, 197)(78, 494)(79, 199)(80, 496)(82, 389)(84,
391)(85, 386)(87, 388)(89, 430)(90, 293)(91, 432)(92, 295)(93, 290)(94, 425)(95,
292)(96, 427)(98, 384)(100, 382)(101, 377)(103, 379)(105, 420)(106, 132)(107,
418)(108, 130)(109, 133)(110, 421)(111, 135)(112, 423)(121, 128)(122, 239)(123,
126)(124, 237)(125, 234)(127, 236)(129, 215)(131, 213)(134, 210)(136, 212)(137,
477)(139, 479)(141, 143)(142, 476)(144, 474)(145, 493)(146, 198)(147, 495)(148,
200)(149, 195)(150, 492)(151, 193)(152, 490)(153, 317)(154, 414)(155, 319)(156,
416)(157, 411)(158, 316)(159, 409)(160, 314)(161, 281)(162, 165)(163, 283)(164,
167)(166, 286)(168, 288)(169, 343)(170, 181)(171, 341)(172, 183)(173, 178)(174,
340)(175, 180)(176, 338)(177, 373)(179, 375)(182, 370)(184, 372)(185, 413)(186,
318)(187, 415)(188, 320)(189, 315)(190, 412)(191, 313)(192, 410)(201, 499)(203,
497)(205, 207)(206, 504)(208, 502)(209, 422)(211, 424)(214, 419)(216, 417)(217,
253)(218, 301)(219, 255)(220, 303)(221, 300)(222, 252)(223, 298)(224, 250)(226,
228)(233, 238)(235, 240)(241, 472)(242, 367)(243, 470)(244, 365)(245, 364)(246,
465)(247, 362)(248, 467)(249, 310)(251, 312)(254, 307)(256, 305)(258, 398)(260,
400)(261, 393)(263, 395)(266, 330)(268, 332)(269, 335)(271, 333)(273, 294)(274,
429)(275, 296)(276, 431)(277, 426)(278, 289)(279, 428)(280, 291)(282, 285)(284,
287)(297, 309)(299, 311)(302, 308)(304, 306)(321, 433)(322, 324)(323, 435)(325,
327)(326, 440)(328, 438)(337, 376)(339, 374)(342, 371)(344, 369)(346, 348)(353,
366)(354, 469)(355, 368)(356, 471)(357, 466)(358, 363)(359, 468)(360, 361)(378,
450)(380, 452)(381, 455)(383, 453)(385, 401)(387, 403)(390, 406)(392, 408)(434,
436)(437, 439)(441, 512)(442, 447)(443, 510)(444, 445)(446, 505)(448, 507)(457,
459)(462, 464)(473, 475)(482, 485)(484, 487)(501, 503)(506, 509)(508, 511)
c: (1, 2, 459, 460)(3, 4, 457, 458)(5, 462, 461, 6)(7, 464, 463, 8)(9, 346, 347,
12)(10, 11, 348, 345)(13, 14, 349, 350)(15, 16, 351, 352)(17, 21, 481, 485)(18,
486, 482, 22)(19, 23, 483, 487)(20, 488, 484, 24)(25, 226, 227, 28)(26, 27, 228,
225)(29, 30, 229, 230)(31, 32, 231, 232)(33, 334, 269, 50)(34, 49, 270, 333)(35,
336, 271, 52)(36, 51, 272, 335)(37, 56, 265, 332)(38, 331, 266, 55)(39, 54, 267,
330)(40, 329, 268, 53)(41, 404, 385, 87)(42, 88, 386, 403)(43, 402, 387, 85)(44,
86, 388, 401)(45, 83, 389, 408)(46, 407, 390, 84)(47, 81, 391, 406)(48, 405,
392, 82)(57, 114, 115, 60)(58, 59, 116, 113)(61, 64, 117, 120)(62, 119, 118,
63)(65, 454, 381, 98)(66, 97, 382, 453)(67, 456, 383, 100)(68, 99, 384, 455)(69,
104, 377, 452)(70, 451, 378, 103)(71, 102, 379, 450)(72, 449, 380, 101)(73, 196,
149, 492)(74, 491, 150, 195)(75, 194, 151, 490)(76, 489, 152, 193)(77, 494, 145,
198)(78, 197, 146, 493)(79, 496, 147, 200)(80, 199, 148, 495)(89, 429, 273,
293)(90, 294, 274, 430)(91, 431, 275, 295)(92, 296, 276, 432)(93, 289, 277,
425)(94, 426, 278, 290)(95, 291, 279, 427)(96, 428, 280, 292)(105, 132, 213,
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314)(158, 313, 190, 409)(159, 412, 191, 316)(160, 315, 192, 411)(161, 165, 286,
282)(162, 281, 285, 166)(163, 167, 288, 284)(164, 283, 287, 168)(169, 344, 370,
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340)(174, 339, 373, 178)(175, 179, 376, 338)(176, 337, 375, 180)(201, 500, 499,
202)(203, 498, 497, 204)(205, 208, 501, 504)(206, 503, 502, 207)(217, 256, 308,
303)(218, 304, 307, 255)(219, 254, 306, 301)(220, 302, 305, 253)(221, 297, 312,
250)(222, 249, 311, 298)(223, 299, 310, 252)(224, 251, 309, 300)(241, 365, 355,
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322)(323, 434, 433, 324)(325, 326, 437, 438)(327, 328, 439, 440)(441, 447, 507,
511)(442, 512, 508, 448)(443, 445, 505, 509)(444, 510, 506, 446)
d: (1, 5)(2, 6)(3, 7)(4, 8)(9, 10)(11, 12)(13, 16)(14, 15)(17, 285)(18, 286)(19,
287)(20, 288)(21, 281)(22, 282)(23, 283)(24, 284)(25, 226)(26, 225)(27, 228)(28,
227)(29, 230)(30, 229)(31, 232)(32, 231)(33, 336)(34, 335)(35, 334)(36, 333)(37,
332)(38, 331)(39, 330)(40, 329)(41, 355)(42, 356)(43, 353)(44, 354)(45, 357)(46,
358)(47, 359)(48, 360)(49, 272)(50, 271)(51, 270)(52, 269)(53, 268)(54, 267)(55,
266)(56, 265)(57, 61)(58, 62)(59, 63)(60, 64)(65, 454)(66, 453)(67, 456)(68,
455)(69, 450)(70, 449)(71, 452)(72, 451)(73, 417)(74, 418)(75, 419)(76, 420)(77,
421)(78, 422)(79, 423)(80, 424)(81, 465)(82, 466)(83, 467)(84, 468)(85, 471)(86,
472)(87, 469)(88, 470)(89, 273)(90, 274)(91, 275)(92, 276)(93, 279)(94, 280)(95,
277)(96, 278)(97, 382)(98, 381)(99, 384)(100, 383)(101, 378)(102, 377)(103,
380)(104, 379)(105, 490)(106, 489)(107, 492)(108, 491)(109, 494)(110, 493)(111,
496)(112, 495)(113, 119)(114, 120)(115, 117)(116, 118)(121, 507)(122, 508)(123,
505)(124, 506)(125, 509)(126, 510)(127, 511)(128, 512)(129, 150)(130, 149)(131,
152)(132, 151)(133, 146)(134, 145)(135, 148)(136, 147)(137, 138)(139, 140)(141,
144)(142, 143)(153, 192)(154, 191)(155, 190)(156, 189)(157, 188)(158, 187)(159,
186)(160, 185)(161, 482)(162, 481)(163, 484)(164, 483)(165, 486)(166, 485)(167,
488)(168, 487)(169, 370)(170, 369)(171, 372)(172, 371)(173, 376)(174, 375)(175,
374)(176, 373)(177, 179)(178, 180)(193, 214)(194, 213)(195, 216)(196, 215)(197,
210)(198, 209)(199, 212)(200, 211)(201, 498)(202, 497)(203, 500)(204, 499)(205,
502)(206, 501)(207, 504)(208, 503)(217, 309)(218, 310)(219, 311)(220, 312)(221,
305)(222, 306)(223, 307)(224, 308)(233, 443)(234, 444)(235, 441)(236, 442)(237,
445)(238, 446)(239, 447)(240, 448)(241, 385)(242, 386)(243, 387)(244, 388)(245,
389)(246, 390)(247, 391)(248, 392)(249, 254)(250, 253)(251, 256)(252, 255)(257,
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435)(328, 436)(337, 339)(338, 340)(345, 346)(347, 348)(349, 352)(350, 351)(361,
408)(362, 407)(363, 406)(364, 405)(365, 404)(366, 403)(367, 402)(368, 401)(409,
414)(410, 413)(411, 416)(412, 415)(425, 427)(426, 428)(457, 463)(458, 464)(459,
461)(460, 462)(473, 476)(474, 475)(477, 478)(479, 480)
e: (1, 9)(2, 348)(3, 345)(4, 12)(5, 28)(6, 225)(7, 228)(8, 25)(10, 460)(11,
457)(13, 116)(14, 57)(15, 60)(16, 113)(17, 49)(18, 334)(19, 335)(20, 52)(21,
36)(22, 271)(23, 270)(24, 33)(26, 463)(27, 462)(29, 119)(30, 64)(31, 61)(32,
118)(34, 487)(35, 486)(37, 239)(38, 128)(39, 125)(40, 238)(41, 193)(42, 490)(43,
491)(44, 196)(45, 132)(46, 420)(47, 417)(48, 129)(50, 482)(51, 483)(53, 236)(54,
121)(55, 124)(56, 233)(58, 349)(59, 352)(62, 232)(63, 229)(65, 168)(66, 284)(67,
281)(68, 165)(69, 512)(70, 447)(71, 446)(72, 509)(73, 88)(74, 404)(75, 401)(76,
85)(77, 471)(78, 368)(79, 365)(80, 470)(81, 105)(82, 214)(83, 215)(84, 108)(86,
151)(87, 150)(89, 319)(90, 416)(91, 413)(92, 318)(93, 254)(94, 302)(95, 303)(96,
255)(97, 161)(98, 285)(99, 288)(100, 164)(101, 507)(102, 442)(103, 443)(104,
506)(106, 405)(107, 408)(109, 468)(110, 361)(111, 364)(112, 465)(114, 351)(115,
350)(117, 231)(120, 230)(122, 329)(123, 332)(126, 268)(127, 265)(130, 391)(131,
390)(133, 359)(134, 248)(135, 245)(136, 358)(137, 400)(138, 259)(139, 258)(140,
397)(141, 323)(142, 434)(143, 435)(144, 322)(145, 367)(146, 472)(147, 469)(148,
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316)(181, 252)(182, 300)(183, 297)(184, 249)(185, 432)(186, 295)(187, 294)(188,
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492)(389, 419)(392, 418)(394, 500)(395, 497)(398, 479)(399, 478)(433, 473)(436,
476)(438, 501)(439, 504)(441, 449)(444, 452)(450, 508)(451, 505)
f: (2, 460)(3, 457)(5, 60, 7, 116)(6, 113, 8, 57)(9, 17, 25, 24)(10, 482, 26,
487)(11, 483, 27, 486)(12, 20, 28, 21)(13, 236, 29, 239)(14, 121, 30, 128)(15,
124, 31, 125)(16, 233, 32, 238)(18, 228, 23, 348)(19, 225, 22, 345)(33, 48, 65,
88)(34, 391, 66, 404)(35, 390, 67, 401)(36, 45, 68, 85)(37, 359, 69, 471)(38,
248, 70, 368)(39, 245, 71, 365)(40, 358, 72, 470)(41, 97, 81, 49)(42, 454, 82,
334)(43, 455, 83, 335)(44, 100, 84, 52)(46, 383, 86, 271)(47, 382, 87, 270)(50,
386, 98, 405)(51, 387, 99, 408)(53, 356, 101, 468)(54, 241, 102, 361)(55, 244,
103, 364)(56, 353, 104, 465)(58, 461, 114, 463)(59, 464, 115, 462)(61, 63, 117,
119)(62, 120, 118, 64)(73, 176, 145, 296)(74, 376, 146, 431)(75, 373, 147,
430)(76, 173, 148, 293)(77, 432, 149, 375)(78, 295, 150, 175)(79, 294, 151,
174)(80, 429, 152, 374)(89, 199, 177, 193)(90, 496, 178, 490)(91, 493, 179,
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484)(227, 488, 347, 481)(230, 240, 350, 235)(231, 237, 351, 234)(242, 449, 362,
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322, 264, 434)(266, 360, 378, 472)(267, 357, 379, 469)(269, 392, 381, 403)(272,
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394, 436, 396)(325, 438, 437, 326)(327, 328, 439, 440)(330, 355, 450, 467)(331,
354, 451, 466)(333, 385, 453, 406)(336, 388, 456, 407)(398, 399)(441, 501, 510,
475)(444, 504, 511, 474)(445, 476, 508, 502)(448, 473, 505, 503)
C4[ 512, 300 ]
512
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-2 346 226 20 21
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-5 226 284 10 285
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0