Graph forms
for C4 [ 512, 562 ] = SS[512,97]
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On this page are computer-accessible forms for the graph C4[ 512, 562 ] =
SS[512,97].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {38, 39}, {1, 3}, {36, 38}, {1, 2}, {464, 467}, {1, 5}, {19, 23},
{1, 4}, {19, 22}, {241, 244}, {19, 21}, {464, 470}, {35, 37}, {240, 246}, {33,
38}, {72, 79}, {34, 37}, {242, 245}, {20, 28}, {498, 506}, {497, 505}, {135,
143}, {134, 142}, {39, 47}, {132, 141}, {373, 380}, {19, 24}, {374, 381}, {17,
29}, {130, 142}, {129, 141}, {128, 140}, {18, 30}, {20, 25}, {371, 382}, {37,
40}, {17, 31}, {133, 139}, {20, 26}, {20, 27}, {500, 507}, {499, 508}, {496,
511}, {372, 379}, {131, 140}, {38, 41}, {37, 42}, {67, 83}, {494, 510}, {493,
509}, {486, 502}, {485, 501}, {453, 469}, {70, 86}, {69, 85}, {68, 84}, {235,
251}, {236, 252}, {455, 470}, {72, 90}, {454, 468}, {71, 84}, {491, 504}, {74,
89}, {237, 254}, {238, 253}, {224, 244}, {453, 465}, {236, 248}, {234, 255},
{455, 466}, {71, 81}, {225, 246}, {480, 503}, {463, 472}, {226, 245}, {237,
250}, {238, 249}, {40, 48}, {482, 506}, {481, 505}, {461, 469}, {452, 476},
{451, 475}, {136, 144}, {132, 156}, {74, 82}, {73, 80}, {462, 471}, {73, 83},
{462, 468}, {451, 473}, {41, 50}, {492, 503}, {456, 467}, {138, 145}, {137,
146}, {134, 157}, {42, 49}, {67, 95}, {490, 502}, {489, 501}, {450, 478}, {449,
477}, {235, 247}, {239, 243}, {65, 92}, {354, 383}, {131, 158}, {64, 94}, {463,
465}, {454, 472}, {452, 474}, {449, 479}, {133, 155}, {73, 87}, {72, 86}, {66,
93}, {488, 503}, {487, 504}, {484, 507}, {483, 508}, {461, 466}, {456, 471},
{74, 85}, {71, 88}, {28, 60}, {460, 492}, {459, 491}, {458, 490}, {457, 489},
{136, 168}, {135, 167}, {64, 96}, {217, 249}, {22, 55}, {448, 481}, {26, 59},
{24, 57}, {29, 63}, {450, 480}, {216, 250}, {65, 98}, {476, 511}, {472, 507},
{459, 488}, {448, 483}, {346, 377}, {345, 378}, {344, 379}, {138, 169}, {137,
170}, {66, 97}, {216, 251}, {25, 61}, {474, 510}, {473, 509}, {339, 375}, {71,
99}, {68, 96}, {27, 62}, {138, 175}, {217, 252}, {69, 98}, {479, 504}, {346,
381}, {345, 382}, {70, 97}, {218, 253}, {477, 501}, {478, 502}, {215, 254},
{460, 485}, {220, 246}, {222, 244}, {128, 171}, {471, 508}, {468, 511}, {343,
380}, {208, 251}, {129, 173}, {470, 506}, {469, 505}, {466, 510}, {465, 509},
{340, 376}, {130, 174}, {223, 243}, {21, 56}, {458, 487}, {73, 100}, {23, 58},
{209, 252}, {218, 247}, {72, 102}, {219, 245}, {221, 243}, {74, 101}, {457,
486}, {344, 375}, {343, 376}, {342, 377}, {341, 378}, {210, 253}, {215, 248},
{207, 255}, {203, 250}, {207, 254}, {18, 32}, {205, 249}, {323, 375}, {330,
383}, {206, 248}, {135, 176}, {131, 187}, {199, 255}, {133, 188}, {136, 177},
{134, 188}, {137, 178}, {204, 247}, {320, 381}, {325, 376}, {128, 190}, {324,
378}, {322, 380}, {64, 127}, {326, 377}, {321, 382}, {132, 187}, {130, 189},
{129, 190}, {61, 124}, {433, 496}, {431, 493}, {62, 125}, {315, 383}, {319,
379}, {59, 126}, {422, 480}, {60, 123}, {428, 484}, {418, 491}, {441, 496},
{427, 482}, {425, 480}, {416, 490}, {43, 96}, {45, 97}, {47, 99}, {46, 98},
{417, 492}, {429, 483}, {430, 481}, {51, 99}, {52, 100}, {387, 465}, {390, 468},
{53, 102}, {393, 474}, {392, 475}, {54, 101}, {48, 100}, {444, 488}, {442, 495},
{394, 476}, {440, 494}, {49, 102}, {389, 466}, {388, 467}, {385, 470}, {384,
471}, {50, 101}, {445, 485}, {446, 487}, {386, 472}, {439, 493}, {447, 484},
{31, 66}, {447, 482}, {443, 486}, {434, 495}, {30, 64}, {432, 494}, {391, 473},
{16, 112}, {63, 95}, {15, 110}, {405, 500}, {32, 65}, {16, 113}, {15, 109},
{403, 497}, {36, 70}, {33, 67}, {16, 114}, {15, 108}, {14, 106}, {396, 488},
{63, 91}, {56, 92}, {51, 87}, {15, 107}, {406, 499}, {14, 104}, {404, 498}, {14,
105}, {58, 93}, {57, 94}, {35, 68}, {34, 69}, {14, 103}, {437, 476}, {413, 500},
{409, 496}, {397, 487}, {435, 473}, {411, 497}, {59, 80}, {398, 485}, {62, 85},
{61, 86}, {54, 90}, {61, 81}, {55, 91}, {52, 89}, {438, 475}, {414, 499}, {399,
482}, {395, 486}, {53, 88}, {60, 82}, {436, 474}, {412, 498}, {59, 84}, {60,
83}, {62, 79}, {9, 123}, {401, 483}, {44, 95}, {402, 481}, {56, 75}, {400, 484},
{426, 478}, {8, 125}, {410, 495}, {13, 120}, {12, 121}, {9, 124}, {8, 126},
{415, 489}, {408, 494}, {58, 76}, {12, 122}, {57, 78}, {424, 479}, {10, 115},
{13, 119}, {423, 477}, {407, 493}, {55, 77}, {420, 479}, {421, 478}, {10, 118},
{11, 117}, {419, 477}, {11, 116}, {16, 111}, {283, 411}, {285, 413}, {284, 414},
{286, 412}, {287, 410}, {327, 450}, {315, 435}, {330, 450}, {329, 449}, {316,
436}, {328, 449}, {381, 500}, {379, 497}, {317, 438}, {318, 437}, {82, 223},
{382, 499}, {380, 498}, {77, 221}, {270, 415}, {378, 491}, {78, 220}, {376,
490}, {309, 417}, {75, 222}, {377, 492}, {308, 418}, {310, 416}, {76, 219},
{293, 444}, {292, 446}, {294, 443}, {291, 445}, {375, 489}, {279, 439}, {280,
441}, {282, 440}, {43, 136}, {355, 448}, {112, 211}, {263, 420}, {281, 442},
{300, 399}, {303, 396}, {45, 137}, {356, 448}, {259, 423}, {275, 439}, {311,
402}, {44, 138}, {113, 214}, {114, 213}, {46, 135}, {267, 418}, {312, 401},
{313, 400}, {47, 133}, {383, 469}, {273, 443}, {264, 419}, {108, 192}, {260,
424}, {307, 415}, {268, 417}, {269, 416}, {277, 440}, {272, 446}, {274, 444},
{276, 442}, {79, 224}, {110, 193}, {109, 194}, {256, 431}, {261, 426}, {262,
425}, {265, 422}, {266, 421}, {278, 441}, {103, 215}, {115, 195}, {105, 217},
{257, 433}, {258, 434}, {80, 225}, {319, 398}, {116, 197}, {49, 131}, {122,
200}, {120, 202}, {118, 196}, {106, 216}, {104, 218}, {271, 445}, {81, 226},
{117, 198}, {87, 228}, {295, 404}, {48, 132}, {50, 134}, {311, 387}, {314, 399},
{288, 407}, {289, 409}, {90, 227}, {298, 403}, {306, 395}, {290, 408}, {308,
398}, {310, 396}, {111, 212}, {299, 400}, {89, 229}, {297, 405}, {312, 388},
{318, 386}, {304, 397}, {316, 385}, {317, 384}, {63, 129}, {121, 199}, {119,
201}, {88, 230}, {296, 406}, {307, 397}, {309, 395}, {301, 402}, {302, 401},
{305, 398}, {313, 390}, {314, 389}, {30, 222}, {347, 411}, {111, 174}, {366,
431}, {357, 420}, {356, 421}, {349, 412}, {339, 402}, {31, 221}, {371, 433},
{348, 414}, {127, 189}, {66, 128}, {33, 226}, {350, 413}, {99, 160}, {65, 130},
{35, 224}, {34, 225}, {39, 227}, {372, 432}, {341, 401}, {327, 387}, {108, 168},
{101, 161}, {97, 164}, {359, 418}, {358, 419}, {355, 422}, {266, 463}, {29,
219}, {342, 400}, {100, 162}, {96, 166}, {264, 462}, {98, 165}, {373, 434},
{327, 384}, {110, 169}, {109, 170}, {25, 209}, {369, 441}, {335, 391}, {329,
385}, {103, 175}, {261, 461}, {262, 462}, {27, 210}, {360, 417}, {322, 395},
{263, 461}, {370, 440}, {368, 442}, {362, 416}, {328, 386}, {351, 404}, {28,
208}, {367, 419}, {321, 397}, {320, 396}, {107, 167}, {259, 463}, {41, 228},
{328, 389}, {40, 230}, {330, 388}, {42, 229}, {329, 390}, {111, 160}, {21, 197},
{331, 411}, {117, 165}, {115, 163}, {113, 161}, {24, 200}, {28, 205}, {333,
412}, {331, 410}, {77, 156}, {21, 199}, {332, 414}, {118, 164}, {116, 166},
{112, 162}, {76, 158}, {25, 203}, {22, 196}, {127, 172}, {334, 413}, {23, 195},
{371, 423}, {368, 420}, {359, 435}, {333, 409}, {107, 191}, {103, 179}, {260,
464}, {26, 207}, {78, 155}, {27, 206}, {26, 204}, {334, 408}, {75, 157}, {369,
422}, {370, 421}, {105, 177}, {367, 439}, {265, 464}, {374, 431}, {373, 428},
{372, 429}, {358, 447}, {336, 393}, {104, 178}, {357, 447}, {338, 392}, {106,
176}, {112, 171}, {363, 432}, {340, 399}, {337, 394}, {332, 407}, {22, 202},
{374, 426}, {373, 425}, {372, 424}, {360, 436}, {104, 180}, {113, 172}, {374,
427}, {371, 430}, {364, 433}, {23, 201}, {24, 198}, {105, 182}, {365, 434},
{362, 437}, {361, 438}, {351, 384}, {114, 173}, {106, 181}, {117, 149}, {122,
154}, {120, 153}, {352, 385}, {116, 150}, {369, 403}, {335, 429}, {123, 153},
{83, 176}, {353, 386}, {80, 180}, {370, 406}, {126, 154}, {124, 152}, {82, 182},
{81, 181}, {118, 147}, {368, 405}, {85, 178}, {367, 392}, {115, 148}, {86, 177},
{120, 144}, {124, 148}, {123, 147}, {122, 146}, {121, 145}, {125, 151}, {125,
150}, {366, 389}, {365, 390}, {126, 149}, {114, 159}, {121, 151}, {119, 152},
{364, 387}, {363, 388}, {39, 215}, {108, 156}, {40, 216}, {36, 213}, {310, 455},
{33, 211}, {357, 407}, {41, 218}, {352, 403}, {110, 157}, {88, 171}, {42, 217},
{309, 454}, {311, 452}, {34, 214}, {348, 424}, {127, 139}, {90, 174}, {89, 173},
{93, 168}, {107, 158}, {92, 170}, {361, 415}, {109, 155}, {307, 453}, {35, 212},
{368, 391}, {354, 405}, {353, 406}, {350, 425}, {349, 426}, {94, 169}, {119,
143}, {370, 394}, {369, 393}, {102, 159}, {325, 444}, {324, 445}, {314, 451},
{313, 451}, {337, 427}, {36, 223}, {367, 404}, {355, 408}, {87, 172}, {84, 175},
{32, 220}, {358, 410}, {347, 423}, {338, 430}, {336, 428}, {95, 163}, {91, 167},
{79, 179}, {308, 456}, {312, 452}, {323, 446}, {356, 409}, {326, 443}, {68,
320}, {69, 322}, {70, 321}, {11, 315}, {7, 310}, {7, 309}, {7, 308}, {7, 307},
{10, 318}, {10, 316}, {11, 317}, {243, 435}, {244, 436}, {245, 438}, {246, 437},
{44, 360}, {8, 335}, {46, 361}, {45, 362}, {6, 334}, {6, 332}, {6, 333}, {43,
359}, {6, 331}, {255, 432}, {12, 348}, {13, 349}, {18, 323}, {253, 428}, {252,
430}, {13, 350}, {17, 325}, {254, 427}, {18, 324}, {251, 429}, {12, 347}, {17,
326}, {9, 337}, {9, 336}, {8, 338}, {51, 337}, {48, 339}, {49, 341}, {50, 340},
{54, 336}, {53, 338}, {55, 327}, {58, 330}, {57, 329}, {56, 328}, {248, 393},
{250, 392}, {45, 341}, {47, 342}, {53, 332}, {46, 340}, {52, 335}, {54, 333},
{67, 319}, {43, 342}, {51, 334}, {247, 394}, {249, 391}, {44, 339}, {52, 331},
{77, 460}, {75, 457}, {153, 283}, {172, 303}, {152, 284}, {192, 324}, {78, 459},
{186, 319}, {76, 458}, {159, 281}, {154, 285}, {193, 326}, {194, 325}, {232,
352}, {151, 286}, {165, 303}, {233, 354}, {234, 353}, {147, 287}, {91, 457},
{94, 460}, {163, 304}, {166, 306}, {164, 305}, {92, 458}, {93, 459}, {179, 299},
{182, 302}, {181, 301}, {180, 300}, {171, 304}, {173, 305}, {174, 306}, {177,
272}, {187, 282}, {139, 297}, {178, 273}, {183, 276}, {187, 280}, {140, 296},
{183, 275}, {188, 281}, {141, 298}, {186, 274}, {142, 295}, {185, 272}, {143,
292}, {186, 273}, {188, 279}, {184, 277}, {184, 278}, {156, 302}, {190, 268},
{144, 291}, {158, 301}, {189, 270}, {190, 269}, {148, 288}, {167, 275}, {162,
279}, {157, 299}, {185, 271}, {189, 267}, {145, 294}, {155, 300}, {150, 289},
{149, 290}, {146, 293}, {160, 280}, {191, 263}, {231, 351}, {161, 282}, {168,
276}, {191, 259}, {175, 274}, {169, 278}, {176, 271}, {170, 277}, {239, 303},
{240, 304}, {241, 305}, {242, 306}, {228, 293}, {199, 261}, {219, 281}, {230,
292}, {239, 300}, {192, 260}, {195, 263}, {220, 280}, {222, 282}, {227, 294},
{229, 291}, {152, 351}, {193, 262}, {194, 261}, {160, 360}, {192, 264}, {200,
257}, {202, 259}, {202, 256}, {212, 286}, {221, 279}, {161, 362}, {162, 361},
{193, 266}, {194, 265}, {201, 258}, {214, 285}, {196, 264}, {211, 287}, {236,
288}, {239, 291}, {201, 260}, {200, 262}, {213, 283}, {197, 266}, {198, 265},
{211, 284}, {237, 290}, {238, 289}, {209, 256}, {223, 270}, {208, 258}, {210,
257}, {240, 293}, {242, 292}, {31, 456}, {241, 294}, {29, 453}, {30, 454}, {242,
299}, {240, 301}, {241, 302}, {140, 364}, {184, 344}, {183, 343}, {184, 345},
{198, 295}, {233, 267}, {142, 365}, {203, 296}, {179, 343}, {232, 268}, {139,
366}, {204, 297}, {141, 363}, {32, 455}, {205, 298}, {231, 256}, {234, 269},
{231, 271}, {143, 358}, {195, 298}, {206, 295}, {226, 267}, {231, 270}, {232,
257}, {209, 315}, {233, 258}, {181, 345}, {196, 296}, {197, 297}, {210, 318},
{183, 346}, {208, 317}, {224, 269}, {225, 268}, {180, 346}, {182, 344}, {237,
284}, {4, 502}, {145, 355}, {5, 503}, {228, 278}, {230, 276}, {236, 286}, {203,
312}, {207, 316}, {206, 314}, {235, 287}, {144, 357}, {204, 313}, {213, 288},
{238, 283}, {3, 501}, {146, 356}, {212, 290}, {227, 277}, {229, 275}, {235,
285}, {151, 352}, {214, 289}, {147, 363}, {166, 350}, {165, 349}, {164, 348},
{163, 347}, {159, 359}, {148, 364}, {185, 320}, {233, 272}, {2, 504}, {5, 511},
{4, 510}, {205, 311}, {232, 274}, {2, 505}, {185, 322}, {154, 353}, {153, 354},
{150, 365}, {149, 366}, {186, 321}, {234, 273}, {191, 323}, {3, 509}, {3, 508},
{5, 506}, {4, 507}, {2, 512}, {467, 512}, {475, 512}, {495, 512} }>;
(II) A more general form is to represent the graph as the orbit of {38, 39}
under the group generated by the following permutations:
a: (1, 10, 8, 13)(2, 115, 338, 119)(3, 118, 335, 120)(4, 318, 126, 350)(5, 316,
125, 349)(6, 447, 449, 12)(7, 190, 37, 185)(9, 451, 19, 448)(11, 450, 452,
20)(14, 189, 17, 187)(15, 184, 38, 188)(16, 183, 18, 186)(21, 356, 337, 313)(22,
483, 123, 473)(23, 481, 124, 475)(24, 355, 336, 314)(25, 317, 330, 311)(26, 116,
478, 476)(27, 117, 480, 474)(28, 315, 327, 312)(29, 131, 106, 267)(30, 273, 113,
346)(31, 132, 105, 270)(32, 274, 111, 343)(33, 281, 107, 345)(34, 320, 309,
269)(35, 322, 310, 268)(36, 279, 108, 344)(39, 134, 109, 278)(40, 272, 307,
128)(41, 133, 110, 277)(42, 271, 308, 129)(43, 457, 45, 73)(44, 72, 46, 459)(47,
157, 170, 228)(48, 177, 415, 66)(49, 176, 418, 63)(50, 155, 169, 227)(51, 400,
56, 146)(52, 144, 501, 164)(53, 143, 504, 163)(54, 399, 57, 145)(55, 401, 60,
435)(58, 402, 61, 438)(59, 166, 502, 437)(62, 165, 503, 436)(64, 443, 161,
180)(65, 444, 160, 179)(67, 159, 167, 378)(68, 395, 416, 225)(69, 396, 417,
224)(70, 162, 168, 375)(71, 242, 458, 240)(74, 239, 460, 241)(75, 137, 87,
342)(76, 301, 81, 245)(77, 302, 82, 243)(78, 138, 90, 340)(79, 98, 488, 360)(80,
96, 486, 362)(83, 359, 91, 341)(84, 306, 490, 246)(85, 303, 492, 244)(86, 361,
93, 339)(88, 292, 487, 304)(89, 291, 485, 305)(92, 293, 99, 299)(94, 294, 101,
300)(95, 102, 135, 491)(97, 100, 136, 489)(103, 130, 325, 280)(104, 127, 326,
282)(112, 276, 323, 321)(114, 275, 324, 319)(121, 333, 482, 329)(122, 334, 484,
328)(139, 193, 440, 218)(140, 216, 233, 453)(141, 217, 231, 456)(142, 194, 441,
215)(147, 391, 202, 508)(148, 392, 201, 505)(149, 425, 510, 210)(150, 426, 511,
207)(151, 412, 506, 385)(152, 512, 195, 430)(153, 509, 196, 429)(154, 413, 507,
386)(156, 182, 223, 221)(158, 181, 226, 219)(171, 230, 446, 397)(172, 377, 222,
178)(173, 229, 445, 398)(174, 376, 220, 175)(191, 382, 211, 442)(192, 379, 213,
439)(197, 421, 394, 204)(198, 422, 393, 206)(199, 409, 427, 390)(200, 408, 428,
389)(203, 208, 383, 387)(205, 209, 384, 388)(212, 380, 455, 232)(214, 381, 454,
234)(235, 405, 463, 406)(236, 404, 464, 403)(237, 434, 461, 433)(238, 431, 462,
432)(247, 297, 266, 370)(248, 295, 265, 369)(249, 256, 471, 363)(250, 258, 469,
364)(251, 354, 465, 296)(252, 351, 467, 298)(253, 366, 262, 494)(254, 365, 261,
496)(255, 289, 374, 468)(257, 290, 373, 466)(259, 499, 287, 368)(260, 497, 288,
367)(263, 371, 284, 495)(264, 372, 283, 493)(285, 500, 472, 353)(286, 498, 470,
352)(331, 357, 477, 348)(332, 358, 479, 347)(407, 419, 424, 411)(410, 420, 423,
414) (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, 8)(2, 335)(3, 338)(4, 125)(5, 126)(6, 449)(7, 37)(9, 19)(10, 13)(11,
452)(12, 447)(14, 17)(15, 38)(16, 18)(20, 450)(21, 336)(22, 124)(23, 123)(24,
337)(25, 327)(26, 480)(27, 478)(28, 330)(29, 105)(30, 111)(31, 106)(32, 113)(33,
108)(34, 310)(35, 309)(36, 107)(39, 110)(40, 308)(41, 109)(42, 307)(43, 44)(45,
46)(47, 169)(48, 418)(49, 415)(50, 170)(51, 57)(52, 504)(53, 501)(54, 56)(55,
61)(58, 60)(59, 503)(62, 502)(63, 177)(64, 160)(65, 161)(66, 176)(67, 168)(68,
417)(69, 416)(70, 167)(71, 460)(72, 457)(73, 459)(74, 458)(75, 90)(76, 82)(77,
81)(78, 87)(79, 486)(80, 488)(83, 93)(84, 492)(85, 490)(86, 91)(88, 485)(89,
487)(92, 101)(94, 99)(95, 136)(96, 360)(97, 135)(98, 362)(100, 491)(102,
489)(103, 326)(104, 325)(112, 324)(114, 323)(115, 120)(116, 474)(117, 476)(118,
119)(121, 484)(122, 482)(127, 280)(128, 271)(129, 272)(130, 282)(131, 270)(132,
267)(133, 278)(134, 277)(137, 340)(138, 342)(139, 441)(140, 231)(141, 233)(142,
440)(143, 164)(144, 163)(145, 400)(146, 399)(147, 201)(148, 202)(149, 511)(150,
510)(151, 507)(152, 196)(153, 195)(154, 506)(155, 228)(156, 226)(157, 227)(158,
223)(159, 375)(162, 378)(165, 437)(166, 436)(171, 445)(172, 220)(173, 446)(174,
222)(175, 377)(178, 376)(179, 443)(180, 444)(181, 221)(182, 219)(183, 186)(184,
188)(185, 190)(187, 189)(191, 213)(192, 211)(193, 215)(194, 218)(197, 393)(198,
394)(199, 428)(200, 427)(203, 384)(204, 422)(205, 383)(206, 421)(207, 425)(208,
388)(209, 387)(210, 426)(212, 454)(214, 455)(216, 456)(217, 453)(224, 395)(225,
396)(229, 397)(230, 398)(232, 381)(234, 380)(235, 464)(236, 463)(237, 462)(238,
461)(239, 240)(241, 242)(243, 301)(244, 306)(245, 302)(246, 303)(247, 265)(248,
266)(249, 469)(250, 471)(251, 467)(252, 465)(253, 261)(254, 262)(255, 373)(256,
364)(257, 374)(258, 363)(259, 288)(260, 287)(263, 283)(264, 284)(268, 320)(269,
322)(273, 343)(274, 346)(275, 321)(276, 319)(279, 345)(281, 344)(285, 470)(286,
472)(289, 466)(290, 468)(291, 304)(292, 305)(293, 300)(294, 299)(295, 370)(296,
351)(297, 369)(298, 354)(311, 315)(312, 317)(313, 355)(314, 356)(316, 350)(318,
349)(328, 333)(329, 334)(331, 479)(332, 477)(339, 359)(341, 361)(347, 357)(348,
358)(352, 500)(353, 498)(365, 494)(366, 496)(367, 499)(368, 497)(371, 493)(372,
495)(379, 442)(382, 439)(385, 413)(386, 412)(389, 409)(390, 408)(391, 505)(392,
508)(401, 438)(402, 435)(403, 405)(404, 406)(407, 423)(410, 424)(411, 420)(414,
419)(429, 512)(430, 509)(431, 433)(432, 434)(448, 451)(473, 481)(475, 483)
c: (2, 4, 3, 5)(8, 9)(10, 11)(12, 13)(17, 18)(21, 22, 24, 23)(25, 27, 28,
26)(29, 30, 31, 32)(33, 35, 36, 34)(37, 38)(39, 42, 41, 40)(43, 45, 46, 44)(47,
49, 50, 48)(51, 53, 54, 52)(55, 57, 58, 56)(59, 61, 62, 60)(63, 64, 66, 65)(67,
68, 70, 69)(71, 72, 74, 73)(75, 77, 78, 76)(79, 82, 80, 81)(83, 84, 86, 85)(87,
88, 90, 89)(91, 94, 93, 92)(95, 96, 97, 98)(99, 102, 101, 100)(103, 105, 104,
106)(107, 110, 108, 109)(111, 114, 113, 112)(115, 116, 118, 117)(119, 121, 120,
122)(123, 126, 124, 125)(127, 128, 130, 129)(131, 134, 132, 133)(135, 138, 136,
137)(139, 140, 142, 141)(143, 145, 144, 146)(147, 149, 148, 150)(151, 153, 154,
152)(155, 158, 157, 156)(159, 161, 162, 160)(163, 166, 164, 165)(167, 169, 168,
170)(171, 174, 173, 172)(175, 177, 178, 176)(179, 182, 180, 181)(183, 184)(185,
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345)(347, 350, 348, 349)(351, 352, 354, 353)(355, 357, 356, 358)(359, 362, 361,
360)(363, 366, 364, 365)(367, 369, 368, 370)(371, 373, 372, 374)(375, 377, 378,
376)(379, 381, 382, 380)(383, 386, 384, 385)(387, 390, 388, 389)(391, 394, 392,
393)(395, 398, 396, 397)(399, 402, 400, 401)(403, 405, 406, 404)(407, 409, 410,
408)(411, 413, 414, 412)(415, 417, 418, 416)(419, 422, 420, 421)(423, 425, 424,
426)(427, 430, 428, 429)(431, 433, 434, 432)(435, 437, 438, 436)(439, 441, 442,
440)(443, 445, 444, 446)(447, 448)(449, 450)(451, 452)(453, 454, 456, 455)(457,
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492, 491, 490)(493, 496, 495, 494)(497, 500, 499, 498)(501, 503, 504, 502)(505,
507, 508, 506)(509, 511, 512, 510)
d: (1, 6)(2, 331)(3, 332)(4, 334)(5, 333)(7, 16)(8, 449)(9, 450)(10, 11)(12,
451)(13, 452)(14, 15)(17, 38)(18, 37)(19, 20)(21, 26)(22, 25)(23, 28)(24,
27)(29, 33)(30, 35)(31, 36)(32, 34)(39, 326)(40, 323)(41, 325)(42, 324)(43,
241)(44, 242)(45, 239)(46, 240)(47, 443)(48, 446)(49, 445)(50, 444)(51, 502)(52,
504)(53, 501)(54, 503)(55, 61)(56, 59)(57, 62)(58, 60)(63, 226)(64, 224)(65,
225)(66, 223)(67, 219)(68, 222)(69, 220)(70, 221)(71, 457)(72, 460)(73, 458)(74,
459)(75, 84)(76, 83)(77, 86)(78, 85)(79, 94)(80, 92)(81, 91)(82, 93)(87,
490)(88, 489)(89, 491)(90, 492)(95, 245)(96, 244)(97, 243)(98, 246)(99,
486)(100, 487)(101, 488)(102, 485)(103, 110)(104, 109)(105, 108)(106, 107)(111,
309)(112, 307)(113, 310)(114, 308)(115, 317)(116, 316)(117, 318)(118, 315)(119,
311)(120, 312)(121, 313)(122, 314)(123, 330)(124, 327)(125, 329)(126, 328)(127,
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301)(136, 302)(137, 300)(138, 299)(139, 234)(140, 231)(141, 233)(142, 232)(143,
402)(144, 401)(145, 400)(146, 399)(147, 383)(148, 384)(149, 386)(150, 385)(151,
390)(152, 387)(153, 388)(154, 389)(155, 178)(156, 177)(157, 175)(158, 176)(159,
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181)(168, 182)(169, 179)(170, 180)(171, 415)(172, 416)(173, 418)(174, 417)(183,
184)(185, 187)(186, 188)(189, 190)(191, 216)(192, 217)(193, 215)(194, 218)(195,
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345)(276, 344)(277, 346)(278, 343)(279, 321)(280, 322)(281, 319)(282, 320)(283,
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341)(292, 339)(293, 340)(294, 342)(303, 362)(304, 361)(305, 359)(306, 360)(335,
479)(336, 480)(337, 478)(338, 477)(347, 475)(348, 473)(349, 476)(350, 474)(351,
364)(352, 365)(353, 366)(354, 363)(355, 484)(356, 482)(357, 483)(358, 481)(367,
371)(368, 372)(369, 373)(370, 374)(379, 442)(380, 441)(381, 440)(382, 439)(391,
424)(392, 423)(393, 425)(394, 426)(403, 434)(404, 433)(405, 432)(406, 431)(407,
508)(408, 507)(409, 506)(410, 505)(411, 512)(412, 511)(413, 510)(414, 509)(419,
430)(420, 429)(421, 427)(422, 428)(447, 448)(493, 499)(494, 500)(495, 497)(496,
498)
e: (1, 43, 449, 239)(2, 136, 477, 243)(3, 359, 479, 291)(4, 96, 328, 303)(5,
342, 329, 300)(6, 241, 8, 45)(7, 405, 18, 431)(9, 44, 20, 240)(10, 73, 452,
71)(11, 458, 13, 457)(12, 74, 448, 72)(14, 433, 38, 403)(15, 404, 17, 434)(16,
432, 37, 406)(19, 46, 450, 242)(21, 98, 478, 306)(22, 361, 330, 292)(23, 135,
327, 245)(24, 340, 480, 299)(25, 304, 123, 339)(26, 246, 337, 360)(27, 293, 336,
138)(28, 301, 124, 95)(29, 258, 107, 351)(30, 366, 310, 500)(31, 495, 108,
367)(32, 374, 309, 297)(33, 298, 106, 364)(34, 370, 111, 255)(35, 353, 113,
494)(36, 497, 105, 371)(39, 352, 104, 496)(40, 296, 112, 363)(41, 369, 103,
257)(42, 499, 114, 372)(47, 385, 180, 511)(48, 203, 171, 147)(49, 414, 173,
429)(50, 422, 179, 200)(51, 436, 59, 437)(52, 401, 53, 164)(54, 145, 62,
146)(55, 438, 58, 143)(56, 165, 502, 166)(57, 399, 503, 400)(60, 402, 61,
163)(63, 208, 158, 152)(64, 389, 396, 507)(65, 426, 395, 197)(66, 410, 156,
392)(67, 205, 181, 148)(68, 386, 172, 510)(69, 421, 174, 199)(70, 411, 182,
430)(75, 117, 490, 350)(76, 119, 91, 317)(77, 475, 93, 358)(78, 482, 492,
313)(79, 122, 101, 355)(80, 476, 99, 316)(81, 115, 83, 311)(82, 481, 86,
347)(84, 318, 87, 474)(85, 356, 90, 121)(88, 118, 100, 312)(89, 483, 102,
348)(92, 349, 486, 116)(94, 314, 488, 484)(97, 331, 302, 338)(109, 498, 326,
365)(110, 295, 325, 373)(120, 489, 315, 487)(125, 137, 333, 294)(126, 362, 334,
244)(127, 466, 320, 472)(128, 287, 132, 250)(129, 251, 131, 284)(130, 261, 322,
266)(133, 470, 346, 468)(134, 265, 343, 262)(139, 455, 381, 454)(140, 211, 141,
216)(142, 194, 380, 193)(144, 501, 435, 504)(149, 416, 413, 222)(150, 170, 412,
443)(151, 178, 409, 227)(153, 375, 209, 397)(154, 161, 408, 224)(155, 506, 377,
390)(157, 198, 376, 425)(159, 424, 229, 508)(160, 207, 225, 394)(162, 388, 230,
196)(167, 384, 219, 201)(168, 419, 221, 512)(169, 206, 444, 428)(175, 210, 228,
393)(176, 387, 226, 195)(177, 423, 223, 505)(183, 462, 188, 464)(184, 236, 186,
238)(185, 463, 189, 461)(187, 237, 190, 235)(191, 231, 453, 233)(192, 439, 456,
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382)(215, 232, 218, 441)(247, 280, 254, 268)(248, 274, 253, 278)(249, 345, 288,
319)(252, 321, 283, 344)(256, 307, 354, 323)(259, 270, 469, 272)(260, 275, 471,
281)(263, 271, 465, 267)(264, 279, 467, 276)(269, 285, 282, 290)(273, 289, 277,
286)(305, 335, 341, 332)(308, 368, 324, 493)(357, 485, 473, 491)(378, 407, 398,
391)(418, 420, 445, 509)(447, 460, 451, 459)
f: (1, 7)(2, 307, 3, 308)(4, 309, 5, 310)(6, 16)(8, 38)(9, 37)(10, 183)(11,
184)(12, 188)(13, 187)(14, 20)(15, 19)(17, 449)(18, 450)(21, 110, 24, 109)(22,
108, 23, 107)(25, 105, 28, 106)(26, 103, 27, 104)(29, 477, 31, 479)(30, 480, 32,
478)(33, 338, 36, 335)(34, 337, 35, 336)(39, 125, 41, 126)(40, 124, 42, 123)(43,
403, 46, 406)(44, 404, 45, 405)(47, 151, 50, 154)(48, 152, 49, 153)(51, 212, 54,
214)(52, 211, 53, 213)(55, 192, 58, 191)(56, 193, 57, 194)(59, 215, 62, 218)(60,
216, 61, 217)(63, 419, 66, 420)(64, 422, 65, 421)(67, 392, 70, 391)(68, 393, 69,
394)(71, 236, 74, 235)(72, 238, 73, 237)(75, 262, 78, 261)(76, 259, 77, 260)(79,
253, 80, 254)(81, 252, 82, 251)(83, 250, 86, 249)(84, 248, 85, 247)(87, 290, 90,
289)(88, 288, 89, 287)(91, 264, 93, 263)(92, 266, 94, 265)(95, 367, 97, 368)(96,
369, 98, 370)(99, 286, 101, 285)(100, 284, 102, 283)(111, 333, 113, 334)(112,
332, 114, 331)(115, 275, 118, 276)(116, 278, 117, 277)(119, 131, 120, 132)(121,
134, 122, 133)(127, 355, 130, 356)(128, 357, 129, 358)(135, 296, 136, 298)(137,
297, 138, 295)(139, 145, 142, 146)(140, 144, 141, 143)(147, 230, 148, 229)(149,
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412, 161, 413)(163, 439, 164, 442)(165, 440, 166, 441)(167, 196, 168, 195)(169,
198, 170, 197)(171, 407, 173, 410)(172, 408, 174, 409)(175, 206, 178, 204)(176,
203, 177, 205)(179, 210, 180, 207)(181, 209, 182, 208)(185, 452)(186, 451)(189,
448)(190, 447)(219, 423, 221, 424)(220, 426, 222, 425)(223, 429, 226, 430)(224,
428, 225, 427)(231, 401, 233, 402)(232, 399, 234, 400)(239, 432, 242, 433)(240,
431, 241, 434)(243, 372, 245, 371)(244, 373, 246, 374)(255, 299, 257, 300)(256,
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366, 294, 365)(303, 494, 306, 496)(304, 493, 305, 495)(315, 344, 317, 345)(316,
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437, 381, 436)(387, 445, 388, 446)(389, 443, 390, 444)(395, 511, 396, 510)(397,
509, 398, 512)(415, 508, 418, 505)(416, 507, 417, 506)(453, 501, 456, 504)(454,
503, 455, 502)(457, 462, 459, 461)(458, 463, 460, 464)(465, 485, 467, 487)(466,
486, 468, 488)(469, 489, 471, 491)(470, 490, 472, 492)
g: (1, 47, 406, 162, 449, 180, 432, 230)(2, 342, 370, 112, 477, 300, 255, 40)(3,
133, 353, 100, 479, 346, 494, 88)(4, 99, 499, 279, 328, 80, 372, 276)(5, 39,
296, 361, 329, 104, 363, 292)(6, 407, 431, 149, 8, 391, 405, 413)(7, 169, 45,
63, 18, 444, 241, 158)(9, 152, 404, 206, 20, 208, 434, 428)(10, 176, 464, 179,
452, 226, 462, 50)(11, 150, 238, 153, 13, 412, 236, 209)(12, 229, 461, 68, 448,
159, 463, 172)(14, 388, 242, 511, 38, 196, 46, 385)(15, 416, 44, 378, 17, 222,
240, 398)(16, 423, 239, 199, 37, 505, 43, 421)(19, 69, 403, 177, 450, 174, 433,
223)(21, 34, 497, 136, 478, 111, 371, 243)(22, 98, 352, 105, 330, 306, 496,
36)(23, 322, 369, 86, 327, 130, 257, 82)(24, 85, 298, 272, 480, 90, 364,
270)(25, 317, 365, 253, 123, 119, 498, 248)(26, 251, 495, 484, 337, 284, 367,
314)(27, 28, 258, 373, 336, 124, 351, 295)(29, 30, 293, 305, 107, 310, 138,
341)(31, 75, 246, 319, 108, 490, 360, 345)(32, 274, 302, 76, 309, 278, 97,
91)(33, 264, 340, 316, 106, 467, 299, 476)(35, 481, 359, 266, 113, 347, 291,
261)(41, 118, 135, 470, 103, 312, 245, 468)(42, 469, 96, 356, 114, 259, 303,
121)(48, 504, 377, 440, 171, 501, 155, 234)(49, 453, 64, 146, 173, 191, 396,
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415)(60, 201, 380, 393, 61, 384, 142, 210)(66, 457, 220, 186, 156, 458, 417,
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321)(78, 273, 132, 487, 492, 277, 128, 489)(79, 311, 267, 262, 101, 115, 271,
265)(81, 471, 134, 318, 83, 260, 343, 474)(84, 483, 281, 472, 87, 348, 275,
466)(89, 263, 320, 355, 102, 465, 127, 122)(94, 137, 129, 323, 488, 294, 131,
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485)(116, 289, 283, 120, 349, 286, 252, 315)(117, 125, 249, 354, 350, 333, 288,
256)(126, 335, 368, 500, 334, 332, 493, 366)(143, 506, 215, 203, 438, 390, 218,
147)(144, 426, 212, 430, 435, 197, 214, 411)(151, 217, 383, 166, 409, 213, 202,
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228)(170, 190, 375, 459, 443, 187, 397, 460)(204, 235, 410, 447, 427, 237, 392,
451)(207, 216, 512, 400, 394, 211, 419, 399)(247, 287, 358, 482, 254, 250, 475,
313)(285, 331, 357, 374, 290, 338, 473, 297)
C4[ 512, 562 ]
512
-1 2 3 4 5
-2 1 512 504 505
-3 1 508 509 501
-4 1 507 510 502
-5 506 1 511 503
-6 331 332 333 334
-7 308 309 310 307
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-379 319 497 344 372
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