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