Graph forms
for C4 [ 512, 635 ] = SS[512,189]
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On this page are computer-accessible forms for the graph C4[ 512, 635 ] =
SS[512,189].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {50, 51}, {234, 235}, {1, 3}, {1, 2}, {1, 5}, {499, 503}, {83,
87}, {50, 54}, {233, 237}, {1, 4}, {482, 487}, {144, 149}, {83, 86}, {82, 87},
{50, 52}, {83, 85}, {233, 239}, {234, 236}, {48, 55}, {50, 53}, {233, 238}, {6,
14}, {498, 506}, {84, 92}, {49, 57}, {49, 56}, {501, 508}, {500, 509}, {482,
491}, {481, 488}, {480, 489}, {146, 155}, {81, 88}, {6, 12}, {497, 507}, {496,
506}, {48, 58}, {6, 13}, {83, 88}, {80, 91}, {6, 11}, {499, 510}, {481, 492},
{480, 493}, {450, 463}, {145, 156}, {84, 89}, {84, 90}, {502, 504}, {80, 95},
{502, 505}, {501, 506}, {500, 507}, {148, 155}, {147, 156}, {84, 91}, {8, 24},
{493, 509}, {492, 508}, {488, 504}, {324, 340}, {12, 28}, {11, 27}, {228, 244},
{8, 25}, {449, 464}, {448, 465}, {326, 343}, {137, 152}, {79, 94}, {12, 29},
{224, 241}, {231, 246}, {9, 27}, {494, 508}, {138, 152}, {136, 154}, {79, 93},
{13, 31}, {224, 242}, {229, 247}, {231, 245}, {79, 92}, {328, 347}, {232, 251},
{46, 58}, {495, 507}, {232, 252}, {11, 30}, {386, 407}, {330, 351}, {328, 349},
{323, 342}, {226, 247}, {227, 246}, {10, 28}, {491, 509}, {323, 341}, {73, 95},
{47, 57}, {14, 24}, {227, 245}, {9, 30}, {324, 339}, {78, 89}, {77, 90}, {47,
56}, {14, 25}, {13, 26}, {10, 29}, {228, 243}, {7, 31}, {45, 53}, {44, 52},
{225, 249}, {234, 242}, {46, 55}, {385, 408}, {327, 350}, {322, 347}, {143,
150}, {230, 255}, {231, 254}, {233, 240}, {76, 86}, {484, 510}, {132, 158},
{226, 248}, {231, 253}, {45, 54}, {386, 409}, {385, 410}, {384, 411}, {327,
348}, {142, 149}, {141, 150}, {140, 151}, {225, 250}, {232, 243}, {234, 241},
{133, 153}, {485, 505}, {384, 412}, {326, 346}, {325, 345}, {139, 151}, {230,
250}, {232, 244}, {7, 26}, {490, 503}, {483, 510}, {325, 344}, {321, 348}, {135,
154}, {131, 158}, {130, 159}, {67, 94}, {229, 248}, {67, 93}, {489, 503}, {129,
159}, {75, 85}, {44, 51}, {487, 504}, {486, 505}, {322, 349}, {321, 350}, {320,
351}, {134, 153}, {64, 95}, {230, 249}, {68, 100}, {402, 434}, {128, 160}, {7,
38}, {463, 494}, {455, 486}, {401, 432}, {399, 430}, {395, 426}, {131, 162},
{130, 163}, {77, 108}, {71, 102}, {211, 242}, {214, 247}, {216, 249}, {129,
163}, {320, 354}, {65, 98}, {459, 488}, {458, 489}, {457, 490}, {402, 433},
{399, 428}, {395, 424}, {66, 97}, {205, 238}, {206, 237}, {10, 46}, {128, 164},
{66, 103}, {396, 425}, {333, 360}, {78, 107}, {212, 241}, {132, 162}, {8, 47},
{334, 361}, {333, 362}, {78, 105}, {77, 106}, {68, 99}, {9, 46}, {7, 47}, {398,
422}, {332, 356}, {330, 354}, {329, 353}, {76, 100}, {74, 98}, {65, 104}, {473,
496}, {461, 484}, {397, 420}, {335, 358}, {334, 359}, {329, 352}, {75, 98}, {73,
96}, {69, 108}, {11, 33}, {335, 357}, {75, 97}, {64, 107}, {475, 496}, {474,
497}, {473, 498}, {460, 487}, {452, 495}, {398, 421}, {396, 423}, {74, 97}, {10,
39}, {462, 483}, {456, 485}, {331, 358}, {144, 189}, {72, 101}, {70, 107}, {13,
32}, {12, 33}, {213, 248}, {215, 250}, {8, 38}, {397, 419}, {331, 357}, {14,
32}, {9, 39}, {222, 240}, {69, 106}, {478, 497}, {477, 498}, {332, 355}, {80,
127}, {76, 99}, {72, 103}, {71, 104}, {70, 105}, {217, 246}, {218, 245}, {219,
244}, {220, 243}, {80, 96}, {472, 488}, {467, 483}, {389, 437}, {204, 252},
{221, 237}, {142, 191}, {479, 494}, {468, 485}, {393, 440}, {143, 190}, {204,
253}, {222, 239}, {76, 126}, {468, 486}, {390, 436}, {204, 254}, {133, 182},
{476, 495}, {451, 496}, {394, 441}, {393, 442}, {389, 438}, {336, 355}, {138,
185}, {137, 186}, {134, 181}, {221, 238}, {223, 236}, {203, 255}, {336, 356},
{223, 235}, {82, 103}, {479, 490}, {474, 495}, {390, 435}, {338, 359}, {75,
125}, {81, 102}, {467, 484}, {454, 497}, {453, 498}, {392, 447}, {140, 187},
{139, 188}, {82, 101}, {204, 251}, {81, 104}, {477, 484}, {476, 485}, {469,
492}, {466, 491}, {388, 445}, {337, 360}, {210, 235}, {337, 362}, {470, 493},
{469, 494}, {400, 427}, {338, 361}, {209, 236}, {478, 483}, {475, 486}, {471,
490}, {470, 491}, {465, 492}, {464, 493}, {400, 429}, {394, 439}, {387, 446},
{401, 431}, {471, 489}, {135, 184}, {472, 487}, {388, 443}, {387, 444}, {136,
183}, {207, 240}, {208, 239}, {49, 112}, {414, 479}, {301, 366}, {415, 476},
{302, 365}, {312, 381}, {410, 479}, {407, 466}, {391, 450}, {314, 383}, {391,
449}, {299, 364}, {304, 375}, {300, 363}, {307, 379}, {392, 448}, {308, 380},
{311, 382}, {409, 464}, {408, 465}, {292, 367}, {406, 477}, {405, 478}, {306,
377}, {305, 378}, {34, 110}, {35, 111}, {141, 192}, {34, 109}, {404, 475}, {403,
476}, {288, 367}, {42, 122}, {43, 123}, {32, 113}, {147, 194}, {146, 195}, {59,
106}, {41, 120}, {37, 116}, {32, 114}, {33, 115}, {35, 112}, {406, 453}, {405,
454}, {295, 372}, {291, 368}, {290, 369}, {63, 108}, {42, 121}, {289, 370}, {33,
116}, {410, 463}, {148, 193}, {145, 196}, {60, 105}, {45, 120}, {36, 113}, {36,
114}, {37, 115}, {43, 124}, {415, 456}, {414, 457}, {413, 458}, {412, 459},
{411, 460}, {404, 451}, {403, 452}, {303, 376}, {294, 369}, {293, 370}, {44,
117}, {61, 100}, {44, 118}, {45, 119}, {39, 124}, {296, 371}, {62, 101}, {61,
102}, {38, 122}, {39, 123}, {40, 117}, {62, 99}, {48, 109}, {40, 118}, {319,
353}, {49, 111}, {48, 110}, {41, 119}, {38, 121}, {319, 352}, {298, 373}, {297,
374}, {63, 96}, {60, 93}, {425, 456}, {281, 378}, {434, 465}, {433, 466}, {422,
453}, {421, 454}, {282, 377}, {317, 345}, {318, 346}, {59, 94}, {424, 461},
{317, 344}, {153, 254}, {430, 457}, {429, 458}, {428, 459}, {427, 460}, {420,
451}, {419, 452}, {416, 455}, {156, 251}, {155, 252}, {154, 253}, {316, 340},
{150, 255}, {423, 462}, {318, 343}, {285, 374}, {286, 373}, {315, 342}, {447,
466}, {426, 455}, {315, 341}, {279, 376}, {418, 461}, {417, 462}, {316, 339},
{280, 375}, {283, 372}, {284, 371}, {287, 368}, {51, 67}, {56, 72}, {52, 68},
{54, 71}, {441, 456}, {437, 452}, {436, 453}, {53, 70}, {58, 73}, {54, 69}, {55,
67}, {407, 482}, {440, 461}, {438, 451}, {435, 454}, {443, 460}, {446, 457},
{445, 458}, {444, 459}, {51, 74}, {439, 462}, {411, 482}, {409, 480}, {408,
481}, {277, 366}, {416, 475}, {278, 365}, {57, 69}, {256, 380}, {52, 73}, {442,
455}, {413, 480}, {412, 481}, {55, 74}, {53, 72}, {56, 70}, {58, 68}, {57, 71},
{257, 382}, {432, 463}, {431, 464}, {418, 477}, {417, 478}, {258, 381}, {275,
364}, {276, 363}, {265, 392}, {261, 390}, {262, 389}, {263, 388}, {269, 398},
{270, 397}, {273, 402}, {274, 401}, {267, 396}, {268, 395}, {27, 147}, {28,
148}, {259, 394}, {27, 145}, {264, 387}, {29, 144}, {260, 393}, {266, 391}, {28,
146}, {26, 138}, {88, 200}, {85, 197}, {30, 143}, {339, 450}, {25, 139}, {339,
449}, {26, 137}, {86, 197}, {30, 141}, {29, 142}, {25, 140}, {342, 448}, {31,
136}, {31, 135}, {92, 198}, {24, 133}, {91, 198}, {90, 199}, {24, 134}, {89,
199}, {87, 200}, {271, 400}, {272, 399}, {101, 192}, {59, 146}, {107, 194},
{106, 195}, {63, 148}, {60, 145}, {367, 450}, {108, 193}, {105, 196}, {368,
449}, {369, 448}, {61, 142}, {62, 141}, {309, 385}, {310, 386}, {330, 511},
{329, 511}, {61, 138}, {63, 136}, {62, 137}, {60, 133}, {313, 384}, {59, 134},
{355, 418}, {355, 417}, {111, 172}, {378, 441}, {377, 442}, {370, 433}, {369,
434}, {119, 180}, {117, 177}, {118, 178}, {109, 168}, {357, 416}, {354, 423},
{111, 170}, {64, 135}, {119, 176}, {121, 177}, {122, 178}, {66, 139}, {353,
424}, {110, 167}, {109, 166}, {374, 445}, {373, 446}, {366, 421}, {365, 422},
{354, 425}, {353, 426}, {352, 427}, {123, 176}, {120, 179}, {110, 165}, {65,
140}, {370, 447}, {352, 429}, {66, 143}, {77, 130}, {376, 439}, {375, 440},
{372, 443}, {371, 444}, {364, 419}, {363, 420}, {124, 179}, {123, 180}, {79,
128}, {78, 129}, {65, 144}, {82, 131}, {64, 147}, {378, 425}, {377, 426}, {124,
175}, {81, 132}, {114, 167}, {104, 189}, {96, 183}, {122, 173}, {121, 174},
{120, 175}, {114, 165}, {113, 166}, {98, 187}, {365, 436}, {364, 437}, {115,
170}, {113, 168}, {112, 169}, {103, 190}, {102, 191}, {99, 186}, {112, 171},
{374, 429}, {373, 430}, {127, 164}, {118, 173}, {117, 174}, {125, 161}, {381,
417}, {97, 188}, {366, 435}, {363, 438}, {116, 169}, {100, 185}, {382, 416},
{115, 172}, {381, 418}, {376, 423}, {375, 424}, {372, 427}, {371, 428}, {368,
431}, {367, 432}, {127, 160}, {126, 161}, {116, 171}, {125, 157}, {340, 437},
{383, 414}, {382, 415}, {345, 440}, {341, 436}, {340, 438}, {383, 413}, {126,
157}, {346, 441}, {345, 442}, {344, 443}, {344, 445}, {341, 435}, {95, 184},
{342, 447}, {380, 405}, {343, 446}, {93, 182}, {343, 444}, {94, 181}, {350,
434}, {346, 439}, {379, 406}, {349, 432}, {350, 433}, {380, 403}, {379, 404},
{351, 430}, {361, 408}, {359, 406}, {349, 431}, {351, 428}, {362, 409}, {361,
410}, {359, 404}, {347, 419}, {348, 421}, {356, 413}, {348, 422}, {358, 412},
{357, 415}, {356, 414}, {360, 403}, {358, 411}, {362, 407}, {360, 405}, {347,
420}, {40, 315}, {40, 316}, {43, 319}, {41, 317}, {41, 318}, {20, 316}, {21,
319}, {19, 318}, {19, 317}, {20, 315}, {17, 337}, {18, 336}, {17, 338}, {22,
338}, {21, 336}, {22, 337}, {15, 326}, {15, 325}, {16, 323}, {16, 324}, {130,
470}, {129, 469}, {22, 322}, {21, 320}, {22, 321}, {128, 471}, {19, 331}, {20,
333}, {23, 334}, {20, 334}, {131, 473}, {23, 333}, {21, 335}, {23, 332}, {23,
331}, {18, 335}, {132, 474}, {19, 332}, {34, 323}, {243, 402}, {36, 327}, {235,
392}, {35, 326}, {244, 401}, {245, 400}, {34, 324}, {35, 325}, {42, 322}, {237,
388}, {239, 390}, {42, 321}, {43, 320}, {236, 391}, {36, 328}, {37, 329}, {238,
387}, {37, 330}, {248, 395}, {240, 389}, {249, 398}, {250, 397}, {246, 399},
{251, 385}, {241, 394}, {242, 393}, {247, 396}, {253, 384}, {252, 386}, {175,
303}, {176, 305}, {254, 383}, {86, 468}, {176, 306}, {88, 474}, {91, 472}, {255,
379}, {85, 467}, {167, 289}, {168, 288}, {173, 292}, {168, 290}, {92, 471},
{174, 293}, {173, 294}, {89, 469}, {90, 470}, {174, 291}, {87, 473}, {179, 295},
{149, 256}, {160, 309}, {151, 258}, {184, 301}, {189, 296}, {191, 298}, {160,
310}, {152, 257}, {178, 299}, {181, 300}, {183, 302}, {185, 288}, {186, 291},
{187, 290}, {188, 293}, {190, 295}, {179, 296}, {177, 300}, {180, 297}, {182,
299}, {185, 292}, {187, 294}, {188, 289}, {180, 298}, {175, 304}, {177, 302},
{178, 301}, {149, 308}, {181, 276}, {183, 278}, {189, 284}, {191, 286}, {153,
314}, {154, 313}, {150, 307}, {159, 314}, {182, 275}, {186, 287}, {190, 283},
{158, 312}, {159, 313}, {127, 472}, {156, 309}, {158, 311}, {157, 308}, {126,
468}, {161, 267}, {164, 271}, {162, 270}, {155, 310}, {161, 268}, {184, 277},
{125, 467}, {157, 307}, {151, 312}, {162, 269}, {152, 311}, {163, 274}, {165,
276}, {163, 273}, {169, 283}, {165, 278}, {171, 280}, {166, 277}, {164, 272},
{170, 286}, {166, 275}, {172, 281}, {169, 284}, {172, 282}, {170, 285}, {167,
287}, {171, 279}, {197, 260}, {198, 263}, {202, 267}, {201, 269}, {205, 264},
{197, 259}, {201, 271}, {202, 268}, {209, 279}, {201, 270}, {210, 282}, {203,
258}, {206, 263}, {207, 262}, {209, 280}, {217, 272}, {219, 274}, {203, 257},
{203, 256}, {210, 281}, {212, 287}, {199, 266}, {200, 261}, {208, 285}, {220,
273}, {198, 264}, {199, 265}, {200, 262}, {208, 286}, {207, 284}, {207, 283},
{194, 279}, {208, 261}, {216, 269}, {218, 271}, {211, 260}, {212, 259}, {224,
311}, {202, 274}, {224, 312}, {193, 280}, {195, 282}, {201, 272}, {205, 276},
{213, 268}, {215, 270}, {202, 273}, {205, 278}, {206, 277}, {209, 266}, {210,
265}, {192, 285}, {196, 281}, {206, 275}, {214, 267}, {228, 260}, {17, 499},
{16, 500}, {221, 313}, {229, 257}, {16, 501}, {227, 262}, {18, 500}, {225, 263},
{227, 261}, {230, 256}, {17, 502}, {18, 501}, {221, 314}, {228, 259}, {229,
258}, {226, 266}, {192, 297}, {223, 310}, {225, 264}, {222, 308}, {223, 309},
{219, 304}, {226, 265}, {194, 303}, {220, 305}, {222, 307}, {220, 306}, {215,
295}, {193, 304}, {195, 306}, {211, 290}, {213, 292}, {216, 297}, {218, 299},
{216, 298}, {211, 288}, {213, 294}, {214, 293}, {219, 303}, {2, 503}, {196,
305}, {212, 289}, {214, 291}, {217, 300}, {217, 302}, {218, 301}, {3, 507}, {4,
508}, {15, 502}, {5, 511}, {2, 510}, {15, 499}, {5, 505}, {2, 511}, {5, 504},
{3, 509}, {4, 506}, {215, 296}, {3, 512}, {4, 512}, {327, 512}, {328, 512}
}>;
(II) A more general form is to represent the graph as the orbit of {50, 51}
under the group generated by the following permutations:
a: (2, 4)(3, 5)(7, 10)(8, 9)(11, 14)(12, 13)(15, 16)(17, 18)(19, 20)(21, 22)(24,
27)(25, 30)(26, 29)(28, 31)(32, 33)(34, 35)(36, 37)(38, 39)(40, 41)(42, 43)(44,
45)(46, 47)(48, 49)(51, 53)(52, 54)(55, 56)(57, 58)(59, 64)(62, 65)(67, 70)(68,
71)(69, 73)(72, 74)(75, 82)(76, 81)(77, 80)(78, 79)(85, 87)(86, 88)(89, 92)(90,
91)(93, 105)(94, 107)(95, 106)(96, 108)(97, 103)(98, 101)(99, 104)(100,
102)(109, 111)(110, 112)(113, 115)(114, 116)(117, 120)(118, 119)(121, 124)(122,
123)(125, 131)(126, 132)(127, 130)(128, 129)(133, 145)(134, 147)(135, 146)(136,
148)(137, 144)(138, 142)(139, 143)(140, 141)(149, 152)(150, 151)(153, 156)(154,
155)(157, 158)(159, 160)(161, 162)(163, 164)(165, 171)(166, 172)(167, 169)(168,
170)(173, 180)(174, 179)(175, 177)(176, 178)(181, 194)(182, 196)(183, 193)(184,
195)(185, 191)(186, 189)(187, 192)(188, 190)(197, 200)(198, 199)(201, 202)(205,
209)(206, 210)(207, 212)(208, 211)(213, 216)(214, 215)(217, 219)(218, 220)(221,
223)(222, 224)(225, 226)(227, 228)(229, 230)(231, 232)(233, 234)(235, 237)(236,
238)(239, 242)(240, 241)(243, 245)(244, 246)(247, 250)(248, 249)(251, 254)(252,
253)(255, 258)(256, 257)(259, 262)(260, 261)(263, 265)(264, 266)(267, 270)(268,
269)(271, 273)(272, 274)(275, 281)(276, 279)(277, 282)(278, 280)(283, 289)(284,
287)(285, 290)(286, 288)(291, 296)(292, 298)(293, 295)(294, 297)(299, 305)(300,
303)(301, 306)(302, 304)(307, 312)(308, 311)(309, 314)(310, 313)(315, 317)(316,
318)(319, 321)(320, 322)(323, 325)(324, 326)(327, 329)(328, 330)(331, 333)(332,
334)(335, 337)(336, 338)(339, 343)(340, 346)(341, 345)(342, 344)(347, 354)(348,
353)(349, 351)(350, 352)(355, 359)(356, 361)(357, 360)(358, 362)(363, 376)(364,
378)(365, 375)(366, 377)(367, 373)(368, 371)(369, 374)(370, 372)(379, 381)(380,
382)(383, 385)(384, 386)(387, 391)(388, 392)(389, 394)(390, 393)(395, 398)(396,
397)(399, 401)(400, 402)(403, 415)(404, 417)(405, 416)(406, 418)(407, 411)(408,
413)(409, 412)(410, 414)(419, 425)(420, 423)(421, 426)(422, 424)(427, 433)(428,
431)(429, 434)(430, 432)(435, 442)(436, 440)(437, 441)(438, 439)(443, 447)(444,
449)(445, 448)(446, 450)(451, 462)(452, 456)(453, 461)(454, 455)(457, 463)(458,
465)(459, 464)(460, 466)(467, 473)(468, 474)(469, 471)(470, 472)(475, 478)(480,
481)(483, 496)(484, 498)(485, 495)(486, 497)(487, 491)(488, 493)(489, 492)(490,
494)(499, 501)(500, 502)(503, 508)(504, 509)(505, 507)(506, 510)(511, 512) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (1, 17)(2, 499)(3, 338)(4, 337)(5, 502)(6, 47)(7, 13)(8, 14)(9, 54)(10,
53)(11, 57)(12, 56)(15, 511)(16, 20)(18, 23)(19, 21)(22, 512)(27, 69)(28,
70)(29, 72)(30, 71)(32, 38)(33, 49)(34, 40)(35, 37)(36, 42)(39, 45)(41, 43)(44,
48)(46, 50)(51, 55)(52, 58)(59, 60)(61, 62)(63, 64)(65, 66)(77, 156)(78,
155)(81, 150)(82, 149)(83, 157)(84, 160)(85, 125)(86, 126)(87, 308)(88, 307)(89,
310)(90, 309)(91, 127)(92, 128)(93, 94)(95, 96)(97, 98)(99, 100)(101, 142)(102,
141)(103, 144)(104, 143)(105, 146)(106, 145)(107, 148)(108, 147)(109, 117)(110,
118)(111, 115)(112, 116)(113, 121)(114, 122)(119, 123)(120, 124)(129, 252)(130,
251)(131, 256)(132, 255)(133, 134)(135, 136)(137, 138)(139, 140)(158, 203)(159,
204)(161, 197)(162, 230)(163, 232)(164, 198)(165, 178)(166, 177)(167, 173)(168,
174)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191, 192)(193, 194)(195,
196)(199, 223)(200, 222)(201, 225)(202, 228)(205, 218)(206, 217)(211, 214)(212,
213)(221, 231)(224, 229)(226, 234)(227, 233)(235, 265)(236, 266)(237, 246)(238,
245)(239, 261)(240, 262)(241, 248)(242, 247)(243, 273)(244, 274)(249, 269)(250,
270)(253, 313)(254, 314)(257, 311)(258, 312)(259, 268)(260, 267)(263, 272)(264,
271)(275, 300)(276, 299)(277, 302)(278, 301)(279, 280)(281, 282)(283, 284)(285,
286)(287, 292)(288, 291)(289, 294)(290, 293)(295, 296)(297, 298)(303, 304)(305,
306)(315, 323)(316, 324)(317, 320)(318, 319)(321, 327)(322, 328)(325, 330)(326,
329)(331, 335)(332, 336)(333, 501)(334, 500)(343, 352)(344, 351)(345, 354)(346,
353)(359, 507)(360, 506)(361, 509)(362, 508)(363, 364)(365, 366)(367, 368)(369,
370)(371, 372)(373, 374)(375, 376)(377, 378)(379, 474)(380, 473)(385, 470)(386,
469)(387, 400)(388, 399)(393, 396)(394, 395)(403, 496)(404, 495)(405, 498)(406,
497)(407, 492)(408, 491)(409, 494)(410, 493)(411, 412)(413, 414)(415, 416)(417,
418)(419, 420)(421, 422)(423, 440)(424, 439)(425, 442)(426, 441)(427, 444)(428,
443)(429, 446)(430, 445)(431, 432)(433, 434)(435, 436)(437, 438)(447, 448)(449,
450)(451, 452)(453, 454)(455, 456)(457, 458)(459, 460)(461, 462)(463, 464)(465,
466)(475, 476)(477, 478)(479, 480)(481, 482)(483, 484)(485, 486)(487, 488)(489,
490)
c: (1, 15)(2, 499)(3, 325)(4, 326)(5, 502)(6, 38)(7, 13)(8, 14)(9, 117)(10,
118)(11, 121)(12, 122)(16, 41)(17, 511)(18, 19)(20, 43)(21, 23)(22, 37)(27,
177)(28, 178)(29, 173)(30, 174)(32, 47)(33, 42)(34, 45)(35, 512)(36, 49)(39,
40)(44, 46)(48, 50)(51, 55)(52, 58)(53, 110)(54, 109)(56, 114)(57, 113)(59,
182)(60, 181)(61, 185)(62, 186)(63, 184)(64, 183)(65, 187)(66, 188)(69, 166)(70,
165)(71, 168)(72, 167)(77, 206)(78, 205)(81, 211)(82, 212)(83, 197)(84, 198)(87,
259)(88, 260)(89, 264)(90, 263)(93, 94)(95, 96)(101, 287)(102, 288)(103,
289)(104, 290)(105, 276)(106, 275)(107, 278)(108, 277)(111, 328)(112, 327)(115,
322)(116, 321)(119, 324)(120, 323)(123, 316)(124, 315)(129, 238)(130, 237)(131,
241)(132, 242)(133, 134)(135, 136)(141, 291)(142, 292)(143, 293)(144, 294)(145,
300)(146, 299)(147, 302)(148, 301)(149, 213)(150, 214)(155, 218)(156, 217)(157,
161)(158, 224)(159, 221)(160, 164)(162, 234)(163, 233)(169, 350)(170, 349)(171,
348)(172, 347)(175, 341)(176, 340)(179, 342)(180, 339)(189, 369)(190, 370)(191,
367)(192, 368)(193, 366)(194, 365)(195, 364)(196, 363)(199, 225)(200, 228)(201,
223)(202, 222)(203, 229)(204, 231)(207, 402)(208, 401)(209, 398)(210, 397)(215,
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266)(250, 265)(267, 307)(268, 308)(271, 310)(272, 309)(279, 422)(280, 421)(281,
420)(282, 419)(283, 433)(284, 434)(285, 431)(286, 432)(295, 447)(296, 448)(297,
449)(298, 450)(303, 436)(304, 435)(305, 438)(306, 437)(317, 500)(318, 501)(319,
333)(320, 334)(329, 337)(330, 338)(331, 335)(332, 336)(343, 508)(344, 509)(345,
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424)(406, 423)(407, 427)(408, 428)(409, 429)(410, 430)(415, 416)(417, 418)(439,
498)(440, 497)(441, 496)(442, 495)(443, 491)(444, 492)(445, 493)(446, 494)(455,
476)(456, 475)(457, 479)(458, 480)(459, 481)(460, 482)(461, 478)(462, 477)(483,
484)(485, 486)
d: (2, 5)(7, 8)(13, 14)(24, 31)(25, 26)(51, 52)(55, 58)(59, 63)(60, 64)(61,
65)(62, 66)(67, 73)(68, 74)(75, 76)(79, 80)(85, 86)(91, 92)(93, 95)(94, 96)(97,
99)(98, 100)(101, 103)(102, 104)(105, 107)(106, 108)(111, 112)(115, 116)(119,
120)(123, 124)(125, 126)(127, 128)(133, 135)(134, 136)(137, 139)(138, 140)(141,
143)(142, 144)(145, 147)(146, 148)(151, 152)(153, 154)(169, 170)(171, 172)(175,
176)(179, 180)(181, 183)(182, 184)(185, 187)(186, 188)(189, 191)(190, 192)(193,
195)(194, 196)(207, 208)(209, 210)(215, 216)(219, 220)(235, 236)(239, 240)(243,
244)(249, 250)(253, 254)(257, 258)(261, 262)(265, 266)(269, 270)(273, 274)(275,
277)(276, 278)(279, 281)(280, 282)(283, 285)(284, 286)(287, 289)(288, 290)(291,
293)(292, 294)(295, 297)(296, 298)(299, 301)(300, 302)(303, 305)(304, 306)(311,
312)(313, 314)(315, 316)(321, 322)(323, 324)(327, 328)(331, 332)(335, 336)(339,
342)(340, 341)(347, 348)(349, 350)(355, 357)(356, 358)(363, 365)(364, 366)(367,
369)(368, 370)(371, 373)(372, 374)(375, 377)(376, 378)(381, 382)(383, 384)(389,
390)(391, 392)(397, 398)(401, 402)(403, 405)(404, 406)(407, 409)(408, 410)(411,
413)(412, 414)(415, 417)(416, 418)(419, 421)(420, 422)(423, 425)(424, 426)(427,
429)(428, 430)(431, 433)(432, 434)(435, 437)(436, 438)(439, 441)(440, 442)(443,
445)(444, 446)(447, 449)(448, 450)(451, 453)(452, 454)(455, 461)(456, 462)(457,
459)(458, 460)(463, 465)(464, 466)(467, 468)(471, 472)(475, 477)(476, 478)(479,
481)(480, 482)(483, 485)(484, 486)(487, 489)(488, 490)(491, 493)(492, 494)(495,
497)(496, 498)(499, 502)(503, 504)(505, 510)
e: (1, 6)(2, 11, 5, 12)(3, 14, 4, 13)(7, 500, 8, 501)(9, 502, 10, 499)(15,
39)(16, 38)(17, 46)(18, 47)(19, 45)(20, 44)(21, 49)(22, 48)(23, 50)(24, 506, 31,
507)(25, 508, 26, 509)(27, 505, 28, 510)(29, 503, 30, 504)(32, 512)(33, 511)(34,
42)(35, 43)(51, 334, 52, 333)(53, 331, 54, 332)(55, 338, 58, 337)(56, 335, 57,
336)(59, 477, 64, 476)(60, 475, 63, 478)(61, 480, 66, 481)(62, 482, 65, 479)(67,
359, 73, 360)(68, 362, 74, 361)(69, 355, 70, 357)(71, 356, 72, 358)(75, 385, 76,
386)(77, 381, 78, 382)(79, 379, 80, 380)(81, 383, 82, 384)(83, 204)(84, 203)(85,
251, 86, 252)(87, 253, 88, 254)(89, 257, 90, 258)(91, 256, 92, 255)(93, 404, 96,
405)(94, 406, 95, 403)(97, 408, 100, 409)(98, 410, 99, 407)(101, 411, 104,
414)(102, 413, 103, 412)(105, 416, 108, 417)(106, 418, 107, 415)(109, 322, 110,
321)(111, 319, 112, 320)(113, 328, 114, 327)(115, 329, 116, 330)(117, 315, 118,
316)(119, 317, 120, 318)(121, 323, 122, 324)(123, 325, 124, 326)(125, 309, 126,
310)(127, 308, 128, 307)(129, 311, 130, 312)(131, 313, 132, 314)(133, 496, 136,
497)(134, 498, 135, 495)(137, 491, 140, 494)(138, 493, 139, 492)(141, 487, 144,
490)(142, 489, 143, 488)(145, 486, 148, 483)(146, 484, 147, 485)(149, 471, 150,
472)(151, 469, 152, 470)(153, 473, 154, 474)(155, 467, 156, 468)(157, 160)(158,
159)(161, 223)(162, 221)(163, 224)(164, 222)(165, 348, 166, 347)(167, 350, 168,
349)(169, 351, 170, 352)(171, 354, 172, 353)(173, 339, 174, 342)(175, 346, 176,
345)(177, 341, 178, 340)(179, 343, 180, 344)(181, 453, 184, 452)(182, 451, 183,
454)(185, 464, 188, 465)(186, 466, 187, 463)(189, 457, 192, 460)(190, 459, 191,
458)(193, 462, 196, 455)(194, 456, 195, 461)(197, 232)(198, 230)(199, 229)(200,
231)(201, 233)(202, 234)(205, 398, 206, 397)(207, 399, 208, 400)(209, 396, 210,
395)(211, 401, 212, 402)(213, 391, 214, 392)(215, 387, 216, 388)(217, 390, 218,
389)(219, 394, 220, 393)(235, 268, 236, 267)(237, 270, 238, 269)(239, 271, 240,
272)(241, 273, 242, 274)(243, 260, 244, 259)(245, 262, 246, 261)(247, 265, 248,
266)(249, 263, 250, 264)(275, 420, 278, 421)(276, 422, 277, 419)(279, 425, 282,
424)(280, 423, 281, 426)(283, 428, 286, 429)(284, 430, 285, 427)(287, 433, 290,
432)(288, 431, 289, 434)(291, 447, 294, 450)(292, 449, 293, 448)(295, 444, 298,
445)(296, 446, 297, 443)(299, 438, 302, 435)(300, 436, 301, 437)(303, 441, 306,
440)(304, 439, 305, 442)(363, 365, 366, 364)(367, 368, 370, 369)(371, 373, 374,
372)(375, 376, 378, 377)
f: (3, 4)(9, 10)(11, 12)(27, 28)(29, 30)(53, 54)(56, 57)(59, 60)(61, 62)(63,
64)(65, 66)(69, 70)(71, 72)(77, 78)(81, 82)(87, 88)(89, 90)(93, 94)(95, 96)(97,
98)(99, 100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(113, 114)(117,
118)(121, 122)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141,
142)(143, 144)(145, 146)(147, 148)(149, 150)(155, 156)(165, 166)(167, 168)(173,
174)(177, 178)(181, 182)(183, 184)(185, 186)(187, 188)(189, 190)(191, 192)(193,
194)(195, 196)(205, 206)(211, 212)(213, 214)(217, 218)(237, 238)(241, 242)(245,
246)(247, 248)(251, 252)(255, 256)(259, 260)(263, 264)(267, 268)(271, 272)(275,
276)(277, 278)(279, 280)(281, 282)(283, 284)(285, 286)(287, 288)(289, 290)(291,
292)(293, 294)(295, 296)(297, 298)(299, 300)(301, 302)(303, 304)(305, 306)(307,
308)(309, 310)(317, 318)(319, 320)(325, 326)(329, 330)(333, 334)(337, 338)(343,
344)(345, 346)(351, 352)(353, 354)(359, 360)(361, 362)(363, 364)(365, 366)(367,
368)(369, 370)(371, 372)(373, 374)(375, 376)(377, 378)(379, 380)(385, 386)(387,
388)(393, 394)(395, 396)(399, 400)(403, 404)(405, 406)(407, 408)(409, 410)(411,
412)(413, 414)(415, 416)(417, 418)(419, 420)(421, 422)(423, 424)(425, 426)(427,
428)(429, 430)(431, 432)(433, 434)(435, 436)(437, 438)(439, 440)(441, 442)(443,
444)(445, 446)(447, 448)(449, 450)(451, 452)(453, 454)(455, 456)(457, 458)(459,
460)(461, 462)(463, 464)(465, 466)(469, 470)(473, 474)(475, 476)(477, 478)(479,
480)(481, 482)(483, 484)(485, 486)(487, 488)(489, 490)(491, 492)(493, 494)(495,
496)(497, 498)(500, 501)(506, 507)(508, 509)
g: (1, 24, 23, 73)(2, 8, 331, 58)(3, 133, 334, 96)(4, 134, 333, 95)(5, 14, 332,
52)(6, 355, 50, 505)(7, 335, 55, 499)(9, 484, 57, 415)(10, 483, 56, 416)(11,
418, 54, 485)(12, 417, 53, 486)(13, 336, 51, 502)(15, 26, 21, 74)(16, 79, 22,
154)(17, 31, 18, 67)(19, 68, 511, 25)(20, 80, 512, 153)(27, 477, 69, 476)(28,
478, 70, 475)(29, 462, 72, 455)(30, 461, 71, 456)(32, 356, 44, 504)(33, 381, 45,
468)(34, 471, 42, 384)(35, 152, 43, 75)(36, 383, 40, 472)(37, 151, 41, 76)(38,
358, 48, 503)(39, 467, 49, 382)(46, 510, 47, 357)(59, 360, 64, 506)(60, 359, 63,
507)(61, 354, 66, 345)(62, 353, 65, 346)(77, 452, 156, 453)(78, 451, 155,
454)(81, 378, 150, 375)(82, 377, 149, 376)(83, 172, 203, 175)(84, 347, 204,
341)(85, 111, 257, 124)(86, 115, 258, 120)(87, 282, 256, 303)(88, 281, 255,
304)(89, 420, 252, 435)(90, 419, 251, 436)(91, 328, 254, 315)(92, 322, 253,
323)(93, 338, 136, 500)(94, 337, 135, 501)(97, 325, 138, 320)(98, 326, 137,
319)(99, 329, 140, 318)(100, 330, 139, 317)(101, 426, 144, 439)(102, 425, 143,
440)(103, 442, 142, 423)(104, 441, 141, 424)(105, 404, 148, 497)(106, 403, 147,
498)(107, 496, 146, 405)(108, 495, 145, 406)(109, 490, 121, 411)(110, 489, 122,
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126)(127, 327, 314, 316)(128, 321, 313, 324)(129, 438, 310, 421)(130, 437, 309,
422)(131, 306, 308, 279)(132, 305, 307, 280)(157, 171, 158, 176)(159, 340, 160,
348)(161, 169, 224, 180)(162, 220, 222, 209)(163, 389, 223, 398)(164, 350, 221,
339)(165, 480, 178, 481)(166, 479, 177, 482)(167, 458, 173, 459)(168, 457, 174,
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344)(186, 352, 187, 343)(189, 394, 192, 395)(190, 393, 191, 396)(193, 474, 196,
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466)(208, 226, 215, 228)(211, 373, 214, 372)(212, 374, 213, 371)(225, 401, 227,
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285)(275, 410, 302, 491)(276, 409, 301, 492)(277, 494, 300, 407)(278, 493, 299,
408)(287, 429, 294, 444)(288, 430, 293, 443)(289, 445, 292, 428)(290, 446, 291,
427)(363, 386, 366, 469)(364, 385, 365, 470)(367, 399, 370, 388)(368, 400, 369,
387)
h: (2, 4)(3, 5)(7, 10)(8, 9)(11, 14)(12, 13)(15, 16)(17, 18)(19, 20)(21, 22)(24,
30)(25, 27)(26, 28)(29, 31)(32, 33)(34, 35)(36, 37)(38, 39)(40, 41)(42, 43)(44,
45)(46, 47)(48, 49)(51, 53)(52, 54)(55, 56)(57, 58)(59, 62)(60, 66)(61, 63)(64,
65)(67, 72)(68, 69)(70, 74)(71, 73)(75, 78)(76, 77)(79, 82)(80, 81)(83, 84)(85,
89)(86, 90)(87, 92)(88, 91)(93, 103)(94, 101)(95, 104)(96, 102)(97, 105)(98,
107)(99, 106)(100, 108)(109, 112)(110, 111)(113, 116)(114, 115)(117, 119)(118,
120)(121, 123)(122, 124)(125, 129)(126, 130)(127, 132)(128, 131)(133, 143)(134,
141)(135, 144)(136, 142)(137, 146)(138, 148)(139, 145)(140, 147)(149, 154)(150,
153)(151, 156)(152, 155)(157, 159)(158, 160)(161, 163)(162, 164)(165, 170)(166,
169)(167, 172)(168, 171)(173, 175)(174, 176)(177, 180)(178, 179)(181, 192)(182,
190)(183, 191)(184, 189)(185, 193)(186, 195)(187, 194)(188, 196)(197, 199)(198,
200)(203, 204)(205, 208)(206, 207)(209, 211)(210, 212)(213, 219)(214, 220)(215,
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258)(252, 257)(253, 256)(254, 255)(259, 265)(260, 266)(261, 264)(262, 263)(267,
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374)(364, 372)(365, 373)(366, 371)(367, 375)(368, 377)(369, 376)(370, 378)(379,
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401)(396, 402)(397, 400)(398, 399)(403, 411)(404, 413)(405, 412)(406, 414)(407,
415)(408, 417)(409, 416)(410, 418)(419, 427)(420, 429)(421, 428)(422, 430)(423,
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480)(476, 482)(477, 479)(478, 481)(483, 492)(484, 494)(485, 491)(486, 493)(487,
495)(488, 497)(489, 496)(490, 498)(499, 501)(500, 502)(503, 506)(504, 507)(505,
509)(508, 510)(511, 512)
C4[ 512, 635 ]
512
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-2 1 510 511 503
-3 1 507 509 512
-4 506 1 508 512
-5 1 511 504 505
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