Graph forms
for C4 [ 512, 268 ] = UG(ATD[512,617])
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On this page are computer-accessible forms for the graph C4[ 512, 268 ] =
UG(ATD[512,617]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {400, 402}, {488, 492}, {96, 101}, {488, 493}, {1, 9}, {482,
490}, {437, 445}, {400, 408}, {341, 349}, {147, 155}, {340, 349}, {436, 445},
{5, 15}, {4, 15}, {439, 444}, {343, 348}, {150, 154}, {147, 158}, {433, 444},
{337, 348}, {7, 9}, {260, 266}, {261, 266}, {1, 17}, {76, 92}, {76, 93}, {463,
478}, {7, 21}, {482, 496}, {77, 95}, {258, 272}, {264, 282}, {7, 20}, {489,
506}, {457, 474}, {389, 406}, {77, 89}, {463, 475}, {200, 220}, {160, 181},
{495, 506}, {200, 221}, {1, 23}, {389, 403}, {388, 402}, {1, 25}, {366, 374},
{132, 156}, {174, 182}, {194, 218}, {264, 272}, {6, 31}, {132, 157}, {133, 159},
{480, 506}, {361, 371}, {169, 179}, {3, 31}, {388, 408}, {367, 371}, {133, 153},
{175, 179}, {171, 182}, {363, 374}, {7, 25}, {394, 404}, {258, 284}, {258, 285},
{394, 405}, {92, 124}, {465, 497}, {92, 125}, {474, 507}, {194, 224}, {471,
501}, {339, 368}, {471, 500}, {148, 176}, {474, 510}, {328, 364}, {328, 365},
{465, 503}, {93, 122}, {9, 33}, {322, 362}, {156, 180}, {17, 57}, {264, 288},
{268, 292}, {22, 63}, {457, 480}, {157, 180}, {269, 292}, {13, 39}, {134, 172},
{131, 169}, {12, 39}, {134, 173}, {219, 240}, {19, 63}, {131, 175}, {15, 33},
{23, 57}, {154, 181}, {266, 293}, {68, 116}, {222, 238}, {267, 315}, {69, 116},
{219, 234}, {271, 318}, {71, 117}, {322, 368}, {139, 184}, {469, 486}, {454,
501}, {65, 117}, {222, 235}, {270, 315}, {272, 293}, {150, 160}, {469, 483},
{468, 482}, {451, 501}, {450, 500}, {265, 318}, {9, 49}, {342, 366}, {92, 100},
{68, 124}, {17, 41}, {14, 55}, {339, 362}, {139, 178}, {93, 100}, {68, 125},
{23, 45}, {142, 180}, {69, 127}, {23, 44}, {149, 174}, {142, 181}, {11, 55},
{468, 488}, {456, 500}, {69, 121}, {342, 363}, {15, 49}, {149, 171}, {148, 170},
{17, 47}, {90, 101}, {25, 89}, {427, 491}, {57, 121}, {49, 113}, {41, 105}, {33,
97}, {30, 95}, {138, 203}, {46, 111}, {38, 103}, {53, 119}, {152, 218}, {61,
127}, {52, 119}, {60, 127}, {27, 95}, {426, 494}, {138, 206}, {43, 111}, {35,
103}, {184, 252}, {184, 253}, {430, 491}, {301, 360}, {277, 336}, {31, 89}, {63,
121}, {55, 113}, {47, 105}, {39, 97}, {146, 218}, {441, 497}, {420, 492}, {300,
356}, {178, 250}, {300, 357}, {421, 492}, {423, 493}, {445, 503}, {142, 197},
{444, 503}, {143, 196}, {417, 493}, {137, 196}, {139, 197}, {447, 497}, {301,
354}, {310, 358}, {414, 462}, {385, 465}, {410, 459}, {416, 497}, {305, 355},
{391, 469}, {391, 468}, {311, 355}, {189, 232}, {411, 462}, {307, 358}, {385,
471}, {416, 503}, {25, 65}, {395, 467}, {276, 332}, {129, 217}, {188, 228},
{144, 201}, {398, 471}, {276, 333}, {188, 229}, {29, 71}, {133, 223}, {28, 71},
{132, 223}, {395, 470}, {31, 65}, {432, 494}, {135, 217}, {144, 207}, {398,
465}, {277, 330}, {189, 226}, {307, 339}, {418, 450}, {310, 343}, {408, 506},
{188, 216}, {308, 336}, {189, 216}, {309, 336}, {307, 342}, {310, 337}, {33,
73}, {425, 449}, {145, 249}, {410, 499}, {430, 455}, {37, 79}, {424, 450}, {151,
253}, {36, 79}, {416, 459}, {151, 252}, {185, 210}, {410, 502}, {427, 455},
{420, 456}, {191, 210}, {421, 456}, {39, 73}, {431, 449}, {402, 508}, {145,
255}, {402, 509}, {164, 212}, {270, 382}, {164, 213}, {267, 378}, {136, 251},
{147, 224}, {270, 379}, {136, 254}, {414, 488}, {150, 224}, {165, 210}, {41,
81}, {137, 241}, {130, 250}, {47, 85}, {143, 245}, {47, 84}, {305, 330}, {143,
244}, {414, 482}, {165, 216}, {311, 330}, {41, 87}, {411, 485}, {137, 247},
{411, 484}, {36, 164}, {289, 417}, {120, 248}, {259, 387}, {36, 165}, {115,
242}, {113, 240}, {262, 391}, {37, 167}, {296, 426}, {293, 423}, {104, 235},
{292, 423}, {37, 161}, {286, 410}, {118, 242}, {259, 390}, {283, 413}, {295,
417}, {119, 240}, {283, 412}, {262, 385}, {290, 426}, {98, 235}, {314, 435},
{304, 441}, {100, 238}, {316, 438}, {114, 248}, {101, 238}, {317, 438}, {279,
412}, {278, 413}, {109, 230}, {108, 231}, {267, 384}, {108, 225}, {273, 412},
{109, 227}, {275, 413}, {48, 191}, {304, 447}, {52, 164}, {358, 502}, {313,
425}, {81, 193}, {52, 165}, {354, 499}, {298, 443}, {86, 199}, {317, 431}, {102,
245}, {316, 431}, {315, 424}, {295, 436}, {294, 437}, {291, 432}, {45, 185},
{298, 446}, {83, 199}, {42, 191}, {355, 502}, {289, 436}, {56, 173}, {44, 185},
{87, 193}, {319, 425}, {318, 424}, {294, 432}, {291, 437}, {99, 245}, {98, 244},
{53, 162}, {52, 172}, {314, 418}, {57, 161}, {53, 172}, {115, 234}, {62, 167},
{360, 499}, {59, 167}, {118, 234}, {104, 244}, {53, 168}, {63, 161}, {96, 254},
{50, 173}, {45, 141}, {91, 251}, {45, 140}, {44, 143}, {90, 254}, {44, 137},
{94, 251}, {304, 406}, {49, 153}, {329, 481}, {124, 212}, {97, 201}, {54, 159},
{336, 505}, {334, 487}, {124, 213}, {101, 207}, {125, 215}, {100, 207}, {51,
159}, {331, 487}, {125, 209}, {55, 153}, {335, 481}, {103, 201}, {377, 457},
{334, 511}, {383, 462}, {330, 505}, {331, 511}, {383, 459}, {377, 463}, {85,
237}, {116, 204}, {105, 209}, {85, 236}, {117, 204}, {109, 215}, {119, 205},
{84, 239}, {108, 215}, {113, 205}, {298, 406}, {84, 233}, {111, 209}, {301,
403}, {286, 416}, {300, 403}, {81, 145}, {370, 434}, {288, 480}, {275, 467},
{354, 419}, {80, 146}, {87, 149}, {87, 148}, {274, 470}, {354, 422}, {278, 467},
{81, 151}, {282, 476}, {282, 477}, {73, 129}, {360, 417}, {42, 224}, {376, 434},
{77, 135}, {76, 135}, {371, 440}, {353, 429}, {353, 428}, {359, 426}, {79, 129},
{374, 440}, {280, 470}, {360, 423}, {82, 130}, {312, 489}, {370, 419}, {40,
250}, {372, 422}, {75, 152}, {373, 422}, {72, 157}, {78, 152}, {359, 432}, {34,
250}, {74, 146}, {68, 156}, {69, 156}, {310, 495}, {82, 136}, {88, 131}, {376,
419}, {375, 428}, {374, 429}, {306, 489}, {307, 495}, {93, 128}, {369, 428},
{88, 134}, {371, 429}, {66, 157}, {324, 420}, {345, 441}, {332, 428}, {325,
420}, {332, 429}, {320, 418}, {349, 447}, {333, 431}, {327, 421}, {348, 447},
{321, 421}, {333, 425}, {302, 456}, {351, 441}, {334, 424}, {328, 430}, {65,
169}, {331, 419}, {323, 427}, {70, 175}, {48, 219}, {67, 175}, {334, 418}, {322,
430}, {302, 450}, {326, 427}, {331, 422}, {48, 222}, {382, 400}, {304, 478},
{299, 453}, {71, 169}, {299, 452}, {21, 229}, {379, 395}, {299, 475}, {42, 218},
{21, 228}, {20, 231}, {320, 435}, {298, 478}, {382, 394}, {325, 433}, {306,
454}, {20, 225}, {379, 398}, {324, 433}, {322, 439}, {302, 475}, {309, 451},
{308, 451}, {73, 177}, {275, 491}, {78, 183}, {278, 495}, {288, 474}, {75, 183},
{275, 494}, {79, 177}, {312, 454}, {278, 489}, {328, 439}, {28, 284}, {196,
452}, {29, 284}, {197, 452}, {216, 473}, {88, 346}, {29, 280}, {26, 285}, {194,
453}, {28, 276}, {82, 346}, {187, 435}, {28, 277}, {190, 439}, {214, 479}, {106,
352}, {210, 473}, {211, 479}, {187, 438}, {200, 453}, {29, 274}, {190, 433},
{154, 396}, {154, 397}, {12, 276}, {12, 277}, {13, 279}, {13, 273}, {36, 260},
{163, 387}, {74, 362}, {174, 398}, {37, 260}, {171, 393}, {200, 490}, {35, 256},
{162, 390}, {171, 399}, {166, 387}, {174, 395}, {38, 256}, {192, 486}, {214,
496}, {34, 261}, {161, 393}, {194, 490}, {166, 399}, {160, 394}, {112, 348},
{163, 399}, {40, 261}, {112, 349}, {167, 393}, {168, 390}, {106, 346}, {160,
400}, {83, 352}, {195, 496}, {86, 352}, {198, 496}, {24, 303}, {211, 491}, {67,
378}, {80, 362}, {21, 297}, {76, 368}, {70, 378}, {214, 490}, {18, 303}, {77,
368}, {32, 285}, {20, 297}, {211, 494}, {192, 510}, {187, 507}, {209, 401},
{214, 407}, {24, 347}, {56, 380}, {186, 510}, {211, 407}, {190, 507}, {24, 350},
{86, 272}, {215, 401}, {18, 346}, {54, 381}, {155, 464}, {203, 384}, {50, 380},
{51, 381}, {128, 464}, {158, 462}, {155, 458}, {75, 281}, {78, 284}, {78, 285},
{122, 297}, {232, 443}, {75, 287}, {122, 303}, {158, 459}, {83, 267}, {166,
510}, {89, 257}, {230, 446}, {94, 263}, {226, 443}, {163, 505}, {60, 359}, {61,
358}, {86, 266}, {163, 511}, {91, 263}, {186, 486}, {60, 353}, {166, 507}, {83,
270}, {227, 446}, {61, 355}, {95, 257}, {189, 483}, {188, 483}, {5, 357}, {121,
281}, {5, 356}, {126, 287}, {4, 359}, {85, 305}, {123, 287}, {4, 353}, {84,
305}, {82, 311}, {127, 281}, {170, 460}, {170, 461}, {97, 265}, {102, 271}, {99,
271}, {103, 265}, {88, 311}, {18, 352}, {43, 344}, {120, 269}, {46, 342}, {116,
268}, {105, 273}, {102, 286}, {249, 385}, {43, 338}, {117, 268}, {110, 279},
{176, 457}, {99, 281}, {255, 389}, {255, 388}, {99, 287}, {107, 279}, {46, 339},
{102, 283}, {111, 273}, {249, 391}, {114, 269}, {176, 463}, {12, 396}, {94,
478}, {58, 442}, {217, 345}, {241, 369}, {13, 396}, {246, 375}, {91, 473}, {130,
256}, {126, 508}, {123, 505}, {221, 351}, {11, 392}, {168, 299}, {126, 509},
{220, 351}, {91, 479}, {123, 511}, {243, 375}, {94, 475}, {14, 392}, {168, 302},
{223, 345}, {247, 369}, {10, 397}, {208, 343}, {10, 386}, {108, 484}, {193,
329}, {204, 324}, {241, 377}, {109, 484}, {205, 324}, {247, 382}, {48, 442},
{197, 335}, {207, 325}, {162, 297}, {196, 335}, {201, 325}, {247, 379}, {112,
509}, {162, 303}, {199, 329}, {241, 383}, {106, 485}, {42, 442}, {225, 369},
{233, 377}, {249, 361}, {195, 338}, {254, 367}, {16, 386}, {110, 508}, {198,
340}, {231, 373}, {239, 381}, {198, 341}, {231, 372}, {239, 380}, {251, 367},
{112, 485}, {225, 375}, {233, 383}, {255, 361}, {8, 415}, {107, 508}, {106,
509}, {212, 332}, {192, 345}, {212, 333}, {67, 473}, {70, 476}, {213, 335}, {70,
477}, {195, 344}, {5, 409}, {67, 479}, {205, 337}, {213, 329}, {2, 415}, {64,
477}, {16, 397}, {4, 409}, {202, 343}, {204, 337}, {192, 351}, {22, 438}, {129,
289}, {54, 406}, {242, 338}, {19, 434}, {134, 295}, {226, 323}, {51, 401}, {115,
464}, {187, 280}, {198, 357}, {199, 356}, {51, 407}, {131, 295}, {226, 326},
{22, 435}, {144, 309}, {54, 403}, {193, 356}, {135, 289}, {190, 280}, {195,
357}, {60, 404}, {145, 313}, {208, 376}, {61, 404}, {150, 319}, {232, 321},
{122, 464}, {248, 338}, {19, 440}, {185, 274}, {243, 344}, {128, 300}, {147,
319}, {128, 301}, {191, 274}, {151, 313}, {246, 344}, {58, 405}, {232, 327},
{146, 290}, {123, 458}, {203, 378}, {242, 323}, {35, 401}, {136, 314}, {38,
404}, {178, 256}, {202, 376}, {206, 380}, {244, 326}, {8, 443}, {38, 405}, {206,
381}, {245, 326}, {35, 407}, {126, 458}, {8, 446}, {2, 442}, {140, 308}, {130,
314}, {115, 458}, {141, 308}, {203, 370}, {118, 460}, {152, 290}, {118, 461},
{248, 323}, {148, 296}, {206, 370}, {149, 296}, {138, 309}, {170, 363}, {227,
290}, {2, 448}, {74, 392}, {66, 384}, {6, 452}, {3, 449}, {172, 366}, {230,
292}, {6, 453}, {90, 409}, {173, 366}, {182, 373}, {230, 293}, {3, 455}, {132,
320}, {90, 415}, {133, 320}, {178, 372}, {179, 373}, {72, 384}, {74, 386}, {234,
291}, {236, 294}, {144, 347}, {227, 296}, {237, 294}, {184, 372}, {202, 260},
{202, 261}, {2, 466}, {142, 350}, {220, 268}, {138, 347}, {208, 257}, {220,
269}, {221, 271}, {30, 461}, {107, 440}, {80, 387}, {238, 317}, {239, 316},
{240, 291}, {32, 500}, {72, 412}, {221, 265}, {32, 501}, {139, 350}, {72, 413},
{64, 405}, {233, 316}, {26, 460}, {80, 390}, {27, 461}, {235, 317}, {208, 263},
{107, 434}, {8, 466}, {110, 436}, {3, 472}, {110, 437}, {66, 409}, {176, 363},
{228, 319}, {229, 318}, {252, 288}, {66, 415}, {228, 313}, {6, 472}, {229, 315},
{18, 498}, {141, 365}, {98, 386}, {50, 466}, {141, 364}, {186, 347}, {217, 312},
{26, 504}, {62, 476}, {16, 499}, {140, 367}, {182, 341}, {183, 340}, {253, 286},
{186, 350}, {140, 361}, {177, 340}, {16, 502}, {179, 341}, {252, 282}, {253,
283}, {58, 477}, {59, 476}, {223, 312}, {26, 498}, {219, 306}, {11, 481}, {98,
392}, {50, 472}, {24, 498}, {14, 484}, {236, 262}, {237, 263}, {14, 485}, {43,
448}, {19, 504}, {11, 487}, {104, 388}, {56, 468}, {32, 460}, {222, 306}, {237,
257}, {56, 469}, {104, 389}, {22, 504}, {46, 448}, {236, 259}, {34, 466}, {177,
321}, {243, 259}, {120, 393}, {10, 504}, {159, 365}, {158, 364}, {181, 327},
{180, 327}, {153, 365}, {246, 258}, {243, 262}, {183, 321}, {120, 399}, {155,
364}, {10, 498}, {62, 454}, {30, 486}, {27, 481}, {59, 449}, {58, 448}, {34,
472}, {40, 467}, {96, 411}, {27, 487}, {64, 444}, {59, 455}, {30, 483}, {64,
445}, {62, 451}, {40, 470}, {114, 396}, {96, 414}, {246, 264}, {114, 397}, {408,
512}, {480, 512}, {492, 512}, {493, 512} }>;
(II) A more general form is to represent the graph as the orbit of {400, 402}
under the group generated by the following permutations:
a: (1, 5)(2, 6)(3, 8)(4, 7)(9, 15)(10, 16)(11, 13)(12, 14)(17, 356)(18, 355)(19,
354)(20, 353)(21, 359)(22, 360)(23, 357)(24, 358)(25, 409)(26, 410)(27, 412)(28,
411)(29, 414)(30, 413)(31, 415)(32, 416)(33, 49)(34, 50)(35, 52)(36, 51)(37,
54)(38, 53)(39, 55)(40, 56)(41, 193)(42, 194)(43, 196)(44, 195)(45, 198)(46,
197)(47, 199)(48, 200)(57, 300)(58, 299)(59, 298)(60, 297)(61, 303)(62, 304)(63,
301)(64, 302)(65, 90)(66, 89)(67, 91)(68, 92)(69, 93)(70, 94)(71, 96)(72,
95)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(81,
87)(82, 88)(83, 85)(84, 86)(97, 113)(98, 114)(99, 115)(100, 116)(101, 117)(102,
118)(103, 119)(104, 120)(105, 329)(106, 330)(107, 331)(108, 332)(109, 333)(110,
334)(111, 335)(112, 336)(121, 128)(122, 127)(123, 126)(124, 125)(129, 133)(130,
134)(131, 136)(132, 135)(137, 344)(138, 343)(139, 342)(140, 341)(141, 340)(142,
339)(143, 338)(144, 337)(145, 149)(146, 150)(147, 152)(148, 151)(161, 403)(162,
404)(163, 402)(164, 401)(165, 407)(166, 408)(167, 406)(168, 405)(169, 254)(170,
253)(171, 255)(172, 256)(173, 250)(174, 249)(175, 251)(176, 252)(177, 365)(178,
366)(179, 367)(180, 368)(181, 362)(182, 361)(183, 364)(184, 363)(185, 496)(186,
495)(187, 493)(188, 494)(189, 491)(190, 492)(191, 490)(192, 489)(201, 205)(202,
206)(203, 208)(204, 207)(209, 213)(210, 214)(211, 216)(212, 215)(217, 223)(218,
224)(219, 221)(220, 222)(225, 428)(226, 427)(227, 425)(228, 426)(229, 432)(230,
431)(231, 429)(232, 430)(233, 272)(234, 271)(235, 269)(236, 270)(237, 267)(238,
268)(239, 266)(240, 265)(241, 246)(242, 245)(243, 247)(244, 248)(257, 384)(258,
383)(259, 382)(260, 381)(261, 380)(262, 379)(263, 378)(264, 377)(273, 481)(274,
482)(275, 483)(276, 484)(277, 485)(278, 486)(279, 487)(280, 488)(281, 464)(282,
463)(283, 461)(284, 462)(285, 459)(286, 460)(287, 458)(288, 457)(289, 320)(290,
319)(291, 318)(292, 317)(293, 316)(294, 315)(295, 314)(296, 313)(305, 352)(306,
351)(307, 350)(308, 349)(309, 348)(310, 347)(311, 346)(312, 345)(321, 328)(322,
327)(323, 326)(324, 325)(369, 375)(370, 376)(371, 373)(372, 374)(385, 398)(386,
397)(387, 400)(388, 399)(389, 393)(390, 394)(391, 395)(392, 396)(417, 435)(418,
436)(419, 434)(420, 433)(421, 439)(422, 440)(423, 438)(424, 437)(441, 454)(442,
453)(443, 455)(444, 456)(445, 450)(446, 449)(447, 451)(448, 452)(465, 471)(466,
472)(467, 469)(468, 470)(473, 479)(474, 480)(475, 477)(476, 478)(497, 501)(498,
502)(499, 504)(500, 503)(505, 509)(506, 510)(507, 512)(508, 511) (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: (3, 4)(5, 6)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16,
32)(17, 23)(18, 24)(19, 22)(20, 21)(33, 65)(34, 66)(35, 67)(36, 68)(37, 69)(38,
70)(39, 71)(40, 72)(41, 44)(42, 43)(45, 47)(46, 48)(49, 89)(50, 90)(51, 91)(52,
92)(53, 93)(54, 94)(55, 95)(56, 96)(59, 60)(61, 62)(73, 117)(74, 118)(75,
120)(76, 119)(77, 113)(78, 114)(79, 116)(80, 115)(81, 137)(82, 138)(83, 139)(84,
140)(85, 141)(86, 142)(87, 143)(88, 144)(97, 169)(98, 170)(99, 171)(100,
172)(101, 173)(102, 174)(103, 175)(104, 176)(105, 185)(106, 186)(107, 187)(108,
188)(109, 189)(110, 190)(111, 191)(112, 192)(121, 161)(122, 162)(123, 163)(124,
164)(125, 165)(126, 166)(127, 167)(128, 168)(129, 204)(130, 203)(131, 201)(132,
202)(133, 208)(134, 207)(135, 205)(136, 206)(145, 241)(146, 242)(147, 243)(148,
244)(149, 245)(150, 246)(151, 247)(152, 248)(153, 257)(154, 258)(155, 259)(156,
260)(157, 261)(158, 262)(159, 263)(160, 264)(177, 268)(178, 267)(179, 265)(180,
266)(181, 272)(182, 271)(183, 269)(184, 270)(193, 196)(194, 195)(197, 199)(198,
200)(209, 210)(215, 216)(217, 337)(218, 338)(219, 339)(220, 340)(221, 341)(222,
342)(223, 343)(224, 344)(225, 228)(226, 227)(229, 231)(230, 232)(233, 361)(234,
362)(235, 363)(236, 364)(237, 365)(238, 366)(239, 367)(240, 368)(249, 383)(250,
384)(251, 381)(252, 382)(253, 379)(254, 380)(255, 377)(256, 378)(273, 274)(279,
280)(281, 393)(282, 394)(283, 395)(284, 396)(285, 397)(286, 398)(287, 399)(288,
400)(289, 324)(290, 323)(291, 322)(292, 321)(293, 327)(294, 328)(295, 325)(296,
326)(299, 300)(301, 302)(305, 308)(306, 307)(309, 311)(310, 312)(313, 369)(314,
370)(315, 372)(316, 371)(317, 374)(318, 373)(319, 375)(320, 376)(329, 335)(330,
336)(331, 334)(332, 333)(345, 348)(346, 347)(349, 351)(350, 352)(353, 449)(354,
450)(355, 451)(356, 452)(357, 453)(358, 454)(359, 455)(360, 456)(385, 459)(386,
460)(387, 458)(388, 457)(389, 463)(390, 464)(391, 462)(392, 461)(401, 473)(402,
474)(403, 475)(404, 476)(405, 477)(406, 478)(407, 479)(408, 480)(409, 472)(410,
471)(411, 469)(412, 470)(413, 467)(414, 468)(415, 466)(416, 465)(417, 420)(418,
419)(421, 423)(422, 424)(425, 428)(426, 427)(429, 431)(430, 432)(433, 436)(434,
435)(437, 439)(438, 440)(441, 447)(442, 448)(443, 446)(444, 445)(483, 484)(485,
486)(489, 495)(490, 496)(491, 494)(492, 493)(499, 500)(501, 502)(507, 508)(509,
510)
c: (3, 209)(4, 210)(5, 274)(6, 273)(7, 57)(8, 58)(9, 23)(10, 24)(11, 336)(12,
335)(13, 452)(14, 451)(15, 185)(16, 186)(17, 25)(18, 26)(19, 162)(20, 161)(21,
121)(22, 122)(27, 330)(28, 329)(29, 356)(30, 355)(31, 105)(32, 106)(33, 44)(34,
43)(35, 427)(36, 428)(37, 225)(38, 226)(39, 196)(40, 195)(41, 65)(42, 66)(45,
49)(46, 50)(47, 89)(48, 90)(51, 430)(52, 429)(53, 440)(54, 439)(55, 308)(56,
307)(59, 215)(60, 216)(61, 483)(62, 484)(63, 297)(64, 298)(67, 426)(68, 425)(69,
228)(70, 227)(71, 193)(72, 194)(73, 137)(74, 138)(75, 315)(76, 316)(77, 84)(78,
83)(79, 369)(80, 370)(81, 117)(82, 118)(85, 257)(86, 258)(87, 169)(88, 170)(91,
432)(92, 431)(93, 438)(94, 437)(95, 305)(96, 306)(97, 143)(98, 144)(99,
318)(100, 317)(101, 222)(102, 221)(103, 326)(104, 325)(107, 168)(108, 167)(109,
476)(110, 475)(111, 472)(112, 471)(113, 140)(114, 139)(115, 314)(116, 313)(119,
371)(120, 372)(123, 334)(124, 333)(125, 449)(126, 450)(127, 188)(128, 187)(129,
241)(130, 242)(131, 148)(132, 147)(133, 364)(134, 363)(135, 233)(136, 234)(141,
153)(142, 154)(145, 204)(146, 203)(149, 179)(150, 180)(151, 268)(152, 267)(155,
320)(156, 319)(157, 224)(158, 223)(159, 328)(160, 327)(163, 331)(164, 332)(165,
353)(166, 354)(171, 373)(172, 374)(173, 342)(174, 341)(175, 296)(176, 295)(177,
247)(178, 248)(183, 270)(184, 269)(189, 404)(190, 403)(191, 409)(192, 410)(197,
396)(198, 395)(199, 284)(200, 283)(201, 244)(202, 243)(205, 361)(206, 362)(207,
235)(208, 236)(213, 276)(214, 275)(217, 383)(218, 384)(219, 254)(220, 253)(229,
281)(230, 282)(231, 393)(232, 394)(239, 368)(240, 367)(245, 265)(246, 266)(249,
337)(250, 338)(251, 291)(252, 292)(255, 324)(256, 323)(259, 376)(260, 375)(261,
344)(262, 343)(263, 294)(264, 293)(277, 481)(278, 482)(279, 299)(280, 300)(285,
352)(286, 351)(287, 424)(288, 423)(289, 377)(290, 378)(301, 507)(302, 508)(303,
504)(304, 503)(309, 392)(310, 391)(311, 461)(312, 462)(321, 382)(322, 381)(339,
380)(340, 379)(345, 459)(346, 460)(347, 386)(348, 385)(349, 398)(350, 397)(357,
470)(358, 469)(359, 473)(360, 474)(387, 419)(388, 420)(389, 433)(390, 434)(399,
422)(400, 421)(401, 455)(402, 456)(405, 443)(406, 444)(407, 491)(408, 492)(411,
454)(412, 453)(413, 490)(414, 489)(415, 442)(416, 441)(417, 457)(418, 458)(435,
464)(436, 463)(445, 478)(446, 477)(447, 465)(448, 466)(467, 496)(468, 495)(479,
494)(480, 493)(485, 501)(486, 502)(487, 505)(488, 506)(499, 510)(500, 509)
d: (1, 2)(3, 4)(5, 6)(7, 8)(9, 466)(10, 465)(11, 468)(12, 467)(13, 470)(14,
469)(15, 472)(16, 471)(17, 442)(18, 441)(19, 444)(20, 443)(21, 446)(22, 445)(23,
448)(24, 447)(25, 415)(26, 416)(27, 414)(28, 413)(29, 412)(30, 411)(31, 409)(32,
410)(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, 66)(67, 68)(69, 70)(71,
72)(73, 250)(74, 249)(75, 252)(76, 251)(77, 254)(78, 253)(79, 256)(80, 255)(81,
218)(82, 217)(83, 220)(84, 219)(85, 222)(86, 221)(87, 224)(88, 223)(89, 90)(91,
92)(93, 94)(95, 96)(97, 261)(98, 262)(99, 264)(100, 263)(101, 257)(102,
258)(103, 260)(104, 259)(105, 191)(106, 192)(107, 190)(108, 189)(109, 188)(110,
187)(111, 185)(112, 186)(113, 380)(114, 379)(115, 377)(116, 378)(117, 384)(118,
383)(119, 381)(120, 382)(121, 477)(122, 478)(123, 480)(124, 479)(125, 473)(126,
474)(127, 476)(128, 475)(129, 130)(131, 132)(133, 134)(135, 136)(137, 338)(138,
337)(139, 340)(140, 339)(141, 342)(142, 341)(143, 344)(144, 343)(145, 146)(147,
148)(149, 150)(151, 152)(153, 173)(154, 174)(155, 176)(156, 175)(157, 169)(158,
170)(159, 172)(160, 171)(161, 405)(162, 406)(163, 408)(164, 407)(165, 401)(166,
402)(167, 404)(168, 403)(177, 178)(179, 180)(181, 182)(183, 184)(193, 194)(195,
196)(197, 198)(199, 200)(201, 202)(203, 204)(205, 206)(207, 208)(209, 210)(211,
212)(213, 214)(215, 216)(225, 226)(227, 228)(229, 230)(231, 232)(233, 234)(235,
236)(237, 238)(239, 240)(241, 242)(243, 244)(245, 246)(247, 248)(265, 266)(267,
268)(269, 270)(271, 272)(273, 274)(275, 276)(277, 278)(279, 280)(281, 282)(283,
284)(285, 286)(287, 288)(289, 314)(290, 313)(291, 316)(292, 315)(293, 318)(294,
317)(295, 320)(296, 319)(297, 298)(299, 300)(301, 302)(303, 304)(305, 306)(307,
308)(309, 310)(311, 312)(321, 372)(322, 371)(323, 369)(324, 370)(325, 376)(326,
375)(327, 373)(328, 374)(329, 490)(330, 489)(331, 492)(332, 491)(333, 494)(334,
493)(335, 496)(336, 495)(345, 346)(347, 348)(349, 350)(351, 352)(353, 455)(354,
456)(355, 454)(356, 453)(357, 452)(358, 451)(359, 449)(360, 450)(361, 362)(363,
364)(365, 366)(367, 368)(385, 386)(387, 388)(389, 390)(391, 392)(393, 394)(395,
396)(397, 398)(399, 400)(417, 418)(419, 420)(421, 422)(423, 424)(425, 426)(427,
428)(429, 430)(431, 432)(433, 434)(435, 436)(437, 438)(439, 440)(457, 458)(459,
460)(461, 462)(463, 464)(481, 482)(483, 484)(485, 486)(487, 488)(497, 498)(499,
500)(501, 502)(503, 504)(505, 506)(507, 508)(509, 510)(511, 512)
e: (1, 3, 2, 4)(5, 7, 6, 8)(9, 31, 466, 409)(10, 32, 465, 410)(11, 30, 468,
411)(12, 29, 467, 412)(13, 28, 470, 413)(14, 27, 469, 414)(15, 25, 472, 415)(16,
26, 471, 416)(17, 449, 442, 359)(18, 450, 441, 360)(19, 451, 444, 358)(20, 452,
443, 357)(21, 453, 446, 356)(22, 454, 445, 355)(23, 455, 448, 353)(24, 456, 447,
354)(33, 65, 34, 66)(35, 68, 36, 67)(37, 70, 38, 69)(39, 71, 40, 72)(41, 425,
42, 426)(43, 428, 44, 427)(45, 430, 46, 429)(47, 431, 48, 432)(49, 89, 50,
90)(51, 92, 52, 91)(53, 94, 54, 93)(55, 95, 56, 96)(57, 59, 58, 60)(61, 63, 62,
64)(73, 169, 250, 157)(74, 170, 249, 158)(75, 171, 252, 160)(76, 172, 251,
159)(77, 173, 254, 153)(78, 174, 253, 154)(79, 175, 256, 156)(80, 176, 255,
155)(81, 319, 218, 296)(82, 320, 217, 295)(83, 318, 220, 293)(84, 317, 219,
294)(85, 316, 222, 291)(86, 315, 221, 292)(87, 313, 224, 290)(88, 314, 223,
289)(97, 117, 261, 384)(98, 118, 262, 383)(99, 120, 264, 382)(100, 119, 263,
381)(101, 113, 257, 380)(102, 114, 258, 379)(103, 116, 260, 378)(104, 115, 259,
377)(105, 333, 191, 494)(106, 334, 192, 493)(107, 336, 190, 495)(108, 335, 189,
496)(109, 329, 188, 490)(110, 330, 187, 489)(111, 332, 185, 491)(112, 331, 186,
492)(121, 167, 477, 404)(122, 168, 478, 403)(123, 166, 480, 402)(124, 165, 479,
401)(125, 164, 473, 407)(126, 163, 474, 408)(127, 161, 476, 405)(128, 162, 475,
406)(129, 131, 130, 132)(133, 135, 134, 136)(137, 326, 338, 375)(138, 325, 337,
376)(139, 327, 340, 373)(140, 328, 339, 374)(141, 322, 342, 371)(142, 321, 341,
372)(143, 323, 344, 369)(144, 324, 343, 370)(145, 147, 146, 148)(149, 151, 150,
152)(177, 179, 178, 180)(181, 183, 182, 184)(193, 228, 194, 227)(195, 225, 196,
226)(197, 232, 198, 231)(199, 229, 200, 230)(201, 204, 202, 203)(205, 208, 206,
207)(209, 212, 210, 211)(213, 216, 214, 215)(233, 235, 234, 236)(237, 239, 238,
240)(241, 244, 242, 243)(245, 248, 246, 247)(265, 268, 266, 267)(269, 272, 270,
271)(273, 276, 274, 275)(277, 280, 278, 279)(281, 393, 282, 394)(283, 396, 284,
395)(285, 398, 286, 397)(287, 399, 288, 400)(297, 299, 298, 300)(301, 303, 302,
304)(305, 438, 306, 437)(307, 440, 308, 439)(309, 433, 310, 434)(311, 435, 312,
436)(345, 417, 346, 418)(347, 420, 348, 419)(349, 422, 350, 421)(351, 423, 352,
424)(361, 364, 362, 363)(365, 368, 366, 367)(385, 459, 386, 460)(387, 457, 388,
458)(389, 464, 390, 463)(391, 462, 392, 461)(481, 483, 482, 484)(485, 487, 486,
488)(497, 499, 498, 500)(501, 503, 502, 504)(505, 507, 506, 508)(509, 511, 510,
512)
f: (1, 9, 33, 73, 129, 217, 345, 441, 497, 465, 385, 249, 145, 81, 41, 17)(2,
10, 34, 74, 130, 218, 346, 442, 498, 466, 386, 250, 146, 82, 42, 18)(3, 11, 35,
75, 131, 219, 347, 443, 499, 467, 387, 251, 147, 83, 43, 19)(4, 12, 36, 76, 132,
220, 348, 444, 500, 468, 388, 252, 148, 84, 44, 20)(5, 13, 37, 77, 133, 221,
349, 445, 501, 469, 389, 253, 149, 85, 45, 21)(6, 14, 38, 78, 134, 222, 350,
446, 502, 470, 390, 254, 150, 86, 46, 22)(7, 15, 39, 79, 135, 223, 351, 447,
503, 471, 391, 255, 151, 87, 47, 23)(8, 16, 40, 80, 136, 224, 352, 448, 504,
472, 392, 256, 152, 88, 48, 24)(25, 49, 97, 177, 289, 312, 192, 304, 416, 398,
262, 361, 313, 193, 105, 57)(26, 50, 98, 178, 290, 311, 191, 303, 415, 397, 261,
362, 314, 194, 106, 58)(27, 51, 99, 179, 291, 309, 189, 301, 413, 399, 263, 364,
315, 195, 107, 59)(28, 52, 100, 180, 292, 310, 190, 302, 414, 400, 264, 363,
316, 196, 108, 60)(29, 53, 101, 181, 293, 307, 187, 299, 411, 394, 258, 366,
317, 197, 109, 61)(30, 54, 102, 182, 294, 308, 188, 300, 412, 393, 257, 365,
318, 198, 110, 62)(31, 55, 103, 183, 295, 306, 186, 298, 410, 395, 259, 367,
319, 199, 111, 63)(32, 56, 104, 184, 296, 305, 185, 297, 409, 396, 260, 368,
320, 200, 112, 64)(65, 113, 201, 321, 417, 489, 510, 478, 459, 379, 243, 371,
425, 329, 209, 121)(66, 114, 202, 322, 418, 490, 509, 477, 460, 380, 244, 372,
426, 330, 210, 122)(67, 115, 203, 323, 419, 491, 511, 479, 458, 378, 242, 370,
427, 331, 211, 123)(68, 116, 204, 324, 420, 492, 512, 480, 457, 377, 241, 369,
428, 332, 212, 124)(69, 117, 205, 325, 421, 493, 506, 474, 463, 383, 247, 375,
429, 333, 213, 125)(70, 118, 206, 326, 422, 494, 505, 473, 464, 384, 248, 376,
430, 334, 214, 126)(71, 119, 207, 327, 423, 495, 507, 475, 462, 382, 246, 374,
431, 335, 215, 127)(72, 120, 208, 328, 424, 496, 508, 476, 461, 381, 245, 373,
432, 336, 216, 128)(89, 153, 265, 340, 436, 454, 486, 406, 286, 174, 236, 140,
228, 356, 273, 161)(90, 154, 266, 339, 435, 453, 485, 405, 285, 173, 235, 139,
227, 355, 274, 162)(91, 155, 267, 338, 434, 455, 487, 407, 287, 175, 234, 138,
226, 354, 275, 163)(92, 156, 268, 337, 433, 456, 488, 408, 288, 176, 233, 137,
225, 353, 276, 164)(93, 157, 269, 343, 439, 450, 482, 402, 282, 170, 239, 143,
231, 359, 277, 165)(94, 158, 270, 344, 440, 449, 481, 401, 281, 169, 240, 144,
232, 360, 278, 166)(95, 159, 271, 341, 437, 451, 483, 403, 283, 171, 237, 141,
229, 357, 279, 167)(96, 160, 272, 342, 438, 452, 484, 404, 284, 172, 238, 142,
230, 358, 280, 168)
C4[ 512, 268 ]
512
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-2 442 466 415 448
-3 455 31 449 472
-4 353 409 15 359
-5 409 15 356 357
-6 452 453 31 472
-7 25 9 20 21
-8 443 466 446 415
-9 33 1 49 7
-10 386 397 498 504
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-12 396 276 277 39
-13 396 279 39 273
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-15 33 4 5 49
-16 386 397 499 502
-17 1 57 47 41
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-19 440 434 63 504
-20 231 297 225 7
-21 297 7 228 229
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-24 498 303 347 350
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-28 276 277 71 284
-29 71 280 284 274
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-31 89 3 6 65
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-34 466 250 261 472
-35 407 256 103 401
-36 165 79 260 164
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-38 256 103 404 405
-39 12 13 73 97
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-45 23 140 141 185
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-48 222 442 191 219
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-53 168 172 162 119
-54 159 381 403 406
-55 11 14 113 153
-56 380 468 469 173
-57 121 23 17 161
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-61 355 127 358 404
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-63 22 121 161 19
-64 444 477 445 405
-65 25 169 117 31
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-67 473 378 479 175
-68 156 124 125 116
-69 121 156 116 127
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-455 430 3 59 427
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-460 26 170 118 32
-461 27 170 30 118
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-472 34 3 6 50
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-475 463 299 302 94
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-485 112 14 411 106
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-492 420 421 488 512
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-498 24 26 18 10
-499 354 410 16 360
-500 456 471 32 450
-501 451 454 471 32
-502 355 410 16 358
-503 465 444 445 416
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-505 330 123 336 163
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-509 112 126 402 106
-510 166 474 192 186
-511 331 123 334 163
-512 408 480 492 493
0