Graph forms
for C4 [ 512, 577 ] = SS[512,112]
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On this page are computer-accessible forms for the graph C4[ 512, 577 ] =
SS[512,112].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {26, 27}, {1, 3}, {9, 11}, {249, 251}, {1, 2}, {464, 467}, {1,
5}, {144, 148}, {26, 30}, {8, 12}, {1, 4}, {8, 13}, {26, 28}, {145, 151}, {9,
14}, {378, 381}, {26, 29}, {244, 252}, {496, 504}, {246, 254}, {247, 255}, {6,
15}, {499, 506}, {498, 507}, {146, 152}, {373, 383}, {7, 12}, {375, 380}, {68,
79}, {6, 11}, {500, 505}, {497, 508}, {374, 379}, {371, 382}, {243, 253}, {131,
147}, {485, 501}, {452, 468}, {132, 148}, {134, 151}, {491, 506}, {486, 503},
{451, 466}, {137, 152}, {11, 25}, {489, 507}, {451, 465}, {129, 147}, {65, 83},
{133, 150}, {490, 505}, {138, 153}, {12, 24}, {488, 508}, {142, 154}, {66, 86},
{64, 85}, {140, 153}, {128, 149}, {70, 80}, {130, 148}, {234, 252}, {7, 16},
{452, 467}, {69, 82}, {67, 84}, {65, 89}, {495, 503}, {494, 502}, {493, 501},
{457, 465}, {454, 478}, {453, 477}, {69, 93}, {66, 90}, {70, 95}, {459, 466},
{454, 479}, {143, 150}, {12, 22}, {492, 502}, {462, 468}, {68, 94}, {231, 253},
{67, 88}, {484, 511}, {463, 468}, {458, 465}, {228, 255}, {11, 23}, {483, 511},
{64, 92}, {70, 91}, {136, 149}, {135, 154}, {227, 254}, {230, 251}, {139, 149},
{480, 510}, {461, 467}, {460, 466}, {141, 147}, {487, 504}, {28, 60}, {477,
509}, {469, 501}, {22, 55}, {479, 510}, {474, 507}, {470, 503}, {464, 497},
{139, 170}, {67, 98}, {25, 56}, {24, 58}, {475, 505}, {345, 379}, {29, 62},
{478, 509}, {473, 506}, {460, 495}, {455, 484}, {69, 102}, {64, 99}, {68, 96},
{472, 508}, {457, 493}, {450, 486}, {141, 169}, {216, 252}, {217, 253}, {30,
59}, {459, 494}, {450, 487}, {65, 100}, {27, 61}, {146, 180}, {142, 168}, {66,
101}, {455, 480}, {453, 482}, {346, 381}, {144, 183}, {143, 167}, {449, 489},
{340, 380}, {145, 184}, {456, 481}, {343, 382}, {341, 383}, {476, 502}, {468,
510}, {448, 490}, {212, 255}, {456, 483}, {448, 491}, {465, 509}, {211, 254},
{466, 511}, {449, 492}, {214, 251}, {23, 57}, {140, 163}, {471, 504}, {30, 46},
{28, 45}, {139, 186}, {138, 187}, {29, 44}, {27, 41}, {128, 179}, {145, 165},
{28, 42}, {146, 164}, {144, 166}, {137, 191}, {30, 40}, {29, 43}, {130, 181},
{142, 185}, {134, 190}, {129, 184}, {140, 181}, {132, 189}, {141, 182}, {27,
39}, {463, 499}, {462, 498}, {321, 381}, {143, 179}, {461, 496}, {320, 382},
{458, 500}, {131, 188}, {55, 119}, {425, 489}, {424, 488}, {423, 487}, {56,
121}, {434, 499}, {413, 476}, {58, 120}, {432, 498}, {429, 495}, {428, 494},
{57, 122}, {319, 380}, {315, 383}, {409, 477}, {402, 470}, {133, 192}, {433,
500}, {412, 473}, {318, 379}, {135, 194}, {419, 485}, {427, 493}, {408, 479},
{415, 472}, {31, 87}, {41, 96}, {421, 492}, {401, 472}, {136, 193}, {60, 117},
{47, 102}, {45, 100}, {43, 98}, {62, 116}, {404, 478}, {42, 97}, {414, 469},
{46, 101}, {400, 476}, {426, 486}, {411, 471}, {59, 118}, {422, 491}, {40, 102},
{420, 490}, {61, 115}, {47, 97}, {44, 99}, {48, 96}, {130, 211}, {48, 98}, {435,
481}, {49, 99}, {439, 484}, {49, 101}, {399, 475}, {396, 473}, {50, 100}, {438,
480}, {436, 482}, {397, 474}, {447, 488}, {37, 125}, {129, 217}, {38, 124},
{447, 485}, {441, 483}, {128, 218}, {398, 469}, {395, 471}, {34, 127}, {32,
126}, {431, 497}, {430, 496}, {63, 97}, {52, 84}, {443, 475}, {54, 86}, {51,
82}, {445, 476}, {388, 485}, {51, 81}, {17, 114}, {394, 489}, {55, 84}, {54,
85}, {19, 112}, {31, 123}, {446, 474}, {55, 83}, {13, 104}, {445, 472}, {444,
473}, {53, 80}, {20, 113}, {53, 83}, {14, 105}, {442, 477}, {440, 479}, {15,
103}, {387, 491}, {63, 87}, {57, 80}, {444, 470}, {57, 82}, {446, 469}, {437,
478}, {391, 492}, {58, 81}, {390, 490}, {443, 471}, {50, 95}, {389, 488}, {56,
86}, {393, 487}, {392, 486}, {63, 81}, {58, 85}, {10, 122}, {61, 77}, {60, 76},
{59, 75}, {386, 499}, {403, 482}, {10, 120}, {406, 484}, {60, 78}, {21, 103},
{10, 121}, {385, 498}, {59, 72}, {384, 500}, {418, 470}, {407, 483}, {405, 480},
{56, 79}, {62, 73}, {61, 74}, {35, 91}, {39, 95}, {18, 107}, {62, 71}, {32, 89},
{20, 109}, {16, 106}, {417, 475}, {416, 474}, {36, 94}, {33, 90}, {410, 481},
{52, 79}, {38, 93}, {21, 105}, {10, 119}, {37, 88}, {21, 104}, {19, 110}, {18,
111}, {17, 108}, {34, 92}, {21, 106}, {296, 427}, {109, 233}, {303, 427}, {282,
414}, {285, 409}, {299, 431}, {280, 413}, {281, 412}, {284, 410}, {111, 232},
{107, 227}, {286, 406}, {293, 429}, {295, 430}, {110, 228}, {287, 405}, {294,
428}, {108, 231}, {275, 415}, {283, 407}, {291, 431}, {277, 411}, {383, 497},
{382, 496}, {88, 200}, {17, 131}, {381, 495}, {380, 494}, {82, 193}, {90, 201},
{83, 192}, {87, 195}, {114, 230}, {113, 229}, {19, 134}, {17, 135}, {379, 493},
{92, 202}, {84, 194}, {18, 132}, {292, 434}, {18, 133}, {95, 200}, {94, 198},
{297, 433}, {93, 196}, {19, 137}, {112, 234}, {298, 432}, {20, 136}, {306, 430},
{301, 433}, {91, 199}, {89, 197}, {304, 429}, {305, 428}, {20, 138}, {302, 432},
{300, 434}, {72, 232}, {100, 196}, {73, 233}, {33, 128}, {40, 137}, {35, 129},
{39, 131}, {109, 201}, {71, 227}, {96, 197}, {308, 401}, {125, 216}, {99, 198},
{256, 421}, {36, 130}, {101, 195}, {97, 199}, {46, 136}, {274, 436}, {45, 138},
{77, 234}, {124, 212}, {312, 400}, {258, 426}, {127, 214}, {257, 424}, {272,
441}, {78, 228}, {110, 196}, {44, 135}, {313, 402}, {126, 213}, {108, 199}, {98,
201}, {76, 231}, {273, 442}, {102, 202}, {123, 215}, {111, 195}, {41, 132},
{107, 198}, {75, 230}, {43, 134}, {42, 133}, {74, 229}, {314, 395}, {289, 403},
{262, 437}, {315, 392}, {266, 441}, {113, 197}, {259, 439}, {276, 416}, {278,
418}, {261, 435}, {319, 393}, {270, 440}, {279, 417}, {290, 404}, {112, 200},
{311, 399}, {310, 398}, {309, 397}, {114, 202}, {267, 435}, {269, 437}, {288,
408}, {271, 438}, {316, 390}, {317, 391}, {268, 439}, {264, 436}, {316, 385},
{318, 387}, {260, 442}, {263, 440}, {317, 386}, {307, 396}, {265, 438}, {328,
393}, {330, 395}, {105, 171}, {326, 388}, {322, 384}, {325, 390}, {320, 388},
{24, 221}, {352, 421}, {343, 402}, {124, 185}, {25, 223}, {372, 434}, {336,
406}, {111, 169}, {110, 168}, {105, 175}, {104, 174}, {106, 173}, {374, 433},
{365, 426}, {359, 416}, {338, 405}, {324, 387}, {322, 389}, {125, 186}, {22,
222}, {367, 423}, {366, 422}, {364, 420}, {363, 419}, {353, 425}, {345, 401},
{344, 400}, {127, 183}, {107, 163}, {108, 165}, {377, 432}, {360, 417}, {337,
408}, {326, 399}, {324, 397}, {323, 394}, {22, 220}, {354, 424}, {126, 180},
{109, 167}, {282, 464}, {103, 172}, {361, 418}, {325, 398}, {321, 394}, {23,
219}, {123, 182}, {329, 391}, {323, 396}, {338, 413}, {330, 389}, {327, 392},
{7, 215}, {122, 170}, {121, 169}, {119, 167}, {9, 217}, {8, 216}, {115, 162},
{346, 395}, {334, 415}, {6, 212}, {7, 213}, {281, 458}, {376, 427}, {339, 384},
{333, 414}, {114, 166}, {354, 438}, {342, 386}, {113, 164}, {353, 436}, {335,
410}, {117, 160}, {116, 161}, {280, 462}, {378, 428}, {103, 176}, {370, 421},
{334, 409}, {332, 411}, {331, 412}, {327, 400}, {279, 463}, {369, 425}, {368,
424}, {277, 460}, {344, 385}, {342, 399}, {340, 397}, {328, 401}, {9, 211},
{375, 429}, {353, 443}, {352, 442}, {112, 170}, {104, 178}, {275, 457}, {106,
177}, {373, 430}, {352, 443}, {341, 398}, {332, 407}, {329, 402}, {120, 163},
{278, 461}, {6, 218}, {371, 431}, {122, 166}, {120, 165}, {121, 164}, {8, 214},
{354, 444}, {333, 403}, {119, 168}, {339, 396}, {331, 404}, {276, 459}, {349,
445}, {350, 446}, {348, 445}, {351, 446}, {124, 152}, {127, 154}, {348, 441},
{350, 440}, {126, 153}, {365, 394}, {347, 444}, {363, 387}, {86, 191}, {366,
391}, {364, 389}, {81, 187}, {351, 437}, {125, 151}, {85, 190}, {367, 388},
{118, 157}, {117, 158}, {116, 159}, {347, 439}, {80, 189}, {335, 418}, {123,
150}, {118, 155}, {349, 435}, {115, 156}, {73, 185}, {361, 409}, {337, 417},
{336, 416}, {75, 186}, {357, 404}, {79, 188}, {356, 407}, {351, 426}, {372,
385}, {355, 405}, {362, 412}, {23, 224}, {369, 390}, {25, 225}, {376, 384},
{368, 392}, {357, 413}, {355, 411}, {348, 420}, {347, 419}, {76, 181}, {362,
403}, {358, 415}, {350, 423}, {24, 226}, {356, 414}, {77, 183}, {349, 422},
{377, 386}, {370, 393}, {72, 180}, {74, 182}, {78, 179}, {359, 410}, {358, 408},
{360, 406}, {71, 184}, {63, 317}, {67, 320}, {68, 321}, {69, 322}, {144, 447},
{143, 447}, {13, 330}, {14, 329}, {15, 327}, {47, 359}, {13, 324}, {15, 326},
{14, 325}, {139, 448}, {47, 356}, {32, 364}, {142, 450}, {140, 448}, {35, 367},
{33, 366}, {141, 450}, {34, 365}, {145, 449}, {50, 355}, {16, 323}, {146, 449},
{31, 331}, {39, 371}, {36, 368}, {253, 425}, {45, 376}, {48, 357}, {44, 378},
{48, 358}, {37, 370}, {46, 377}, {38, 369}, {16, 328}, {49, 361}, {251, 419},
{252, 420}, {254, 422}, {255, 423}, {50, 360}, {49, 362}, {40, 372}, {43, 375},
{42, 374}, {41, 373}, {37, 332}, {36, 335}, {32, 334}, {35, 333}, {34, 336},
{33, 338}, {53, 326}, {52, 327}, {31, 363}, {54, 323}, {51, 325}, {38, 337},
{51, 324}, {70, 318}, {65, 315}, {52, 328}, {64, 316}, {66, 319}, {53, 330},
{54, 329}, {71, 453}, {171, 297}, {75, 456}, {76, 456}, {208, 340}, {209, 341},
{210, 342}, {210, 343}, {170, 300}, {167, 303}, {78, 455}, {175, 294}, {172,
293}, {208, 345}, {209, 344}, {219, 338}, {77, 455}, {174, 292}, {173, 295},
{164, 302}, {203, 320}, {74, 454}, {206, 322}, {72, 453}, {166, 299}, {93, 464},
{163, 301}, {222, 336}, {73, 454}, {206, 321}, {94, 462}, {88, 457}, {178, 291},
{223, 333}, {221, 334}, {91, 463}, {165, 305}, {194, 342}, {89, 460}, {207,
346}, {92, 458}, {160, 310}, {90, 461}, {183, 288}, {220, 331}, {161, 313},
{176, 296}, {168, 304}, {162, 314}, {192, 344}, {184, 290}, {169, 306}, {186,
289}, {177, 298}, {193, 346}, {87, 459}, {207, 339}, {152, 312}, {154, 314},
{148, 310}, {151, 309}, {150, 308}, {149, 311}, {185, 285}, {189, 280}, {191,
282}, {159, 312}, {155, 307}, {180, 284}, {179, 283}, {157, 309}, {156, 308},
{158, 311}, {182, 287}, {147, 313}, {153, 307}, {181, 286}, {188, 279}, {190,
275}, {187, 277}, {226, 332}, {224, 335}, {115, 451}, {116, 452}, {225, 337},
{117, 452}, {118, 451}, {239, 303}, {240, 304}, {248, 312}, {236, 301}, {237,
302}, {241, 306}, {242, 305}, {244, 311}, {200, 269}, {238, 299}, {246, 307},
{175, 361}, {207, 265}, {243, 309}, {207, 264}, {235, 300}, {198, 270}, {199,
271}, {235, 291}, {172, 357}, {174, 359}, {197, 268}, {225, 299}, {236, 294},
{237, 295}, {238, 292}, {239, 293}, {171, 352}, {173, 358}, {173, 353}, {174,
354}, {245, 313}, {221, 272}, {226, 303}, {247, 314}, {224, 302}, {250, 308},
{160, 367}, {171, 356}, {196, 267}, {249, 310}, {162, 370}, {203, 283}, {219,
267}, {220, 268}, {240, 288}, {161, 368}, {178, 355}, {204, 285}, {210, 259},
{223, 270}, {204, 286}, {205, 287}, {206, 284}, {195, 272}, {222, 269}, {241,
290}, {242, 289}, {192, 276}, {208, 261}, {213, 256}, {215, 258}, {210, 260},
{160, 375}, {193, 278}, {208, 263}, {209, 262}, {176, 360}, {240, 296}, {161,
376}, {162, 377}, {177, 362}, {194, 281}, {201, 274}, {202, 273}, {209, 266},
{218, 257}, {241, 298}, {242, 297}, {247, 276}, {250, 281}, {158, 378}, {231,
259}, {245, 273}, {246, 274}, {227, 262}, {229, 256}, {246, 275}, {191, 345},
{243, 277}, {239, 264}, {155, 371}, {157, 373}, {156, 372}, {233, 257}, {159,
374}, {189, 340}, {203, 290}, {219, 306}, {249, 272}, {232, 258}, {238, 260},
{190, 341}, {236, 263}, {187, 343}, {205, 289}, {229, 265}, {244, 280}, {220,
305}, {221, 304}, {232, 261}, {233, 260}, {234, 263}, {235, 262}, {206, 288},
{228, 266}, {230, 264}, {237, 259}, {158, 369}, {188, 339}, {178, 349}, {177,
350}, {176, 351}, {224, 271}, {245, 282}, {248, 279}, {249, 278}, {155, 363},
{157, 365}, {156, 364}, {204, 316}, {235, 283}, {236, 284}, {237, 285}, {238,
286}, {239, 287}, {159, 366}, {213, 292}, {214, 295}, {205, 319}, {212, 294},
{216, 298}, {175, 348}, {205, 318}, {218, 297}, {222, 301}, {223, 300}, {225,
274}, {226, 273}, {3, 503}, {215, 291}, {250, 270}, {3, 502}, {240, 261}, {248,
269}, {203, 317}, {2, 501}, {172, 347}, {204, 315}, {245, 258}, {4, 508}, {243,
267}, {244, 268}, {247, 271}, {248, 256}, {4, 510}, {2, 505}, {211, 296}, {241,
266}, {242, 265}, {250, 257}, {4, 504}, {217, 293}, {2, 511}, {3, 509}, {5,
507}, {5, 506}, {5, 512}, {467, 512}, {481, 512}, {482, 512} }>;
(II) A more general form is to represent the graph as the orbit of {26, 27}
under the group generated by the following permutations:
a: (2, 5, 3, 4)(6, 8, 9, 7)(11, 12)(13, 14, 16, 15)(17, 18, 20, 19)(22, 23, 24,
25)(27, 28, 30, 29)(31, 33, 37, 35)(32, 38, 34, 36)(39, 42, 46, 43)(40, 44, 41,
45)(47, 49, 48, 50)(51, 54, 52, 53)(55, 57, 58, 56)(59, 62, 61, 60)(63, 66, 67,
70)(64, 68, 65, 69)(71, 74, 78, 75)(72, 73, 77, 76)(79, 83, 82, 85)(80, 81, 86,
84)(87, 90, 88, 91)(89, 93, 92, 94)(95, 97, 101, 98)(96, 100, 102, 99)(103, 104,
105, 106)(107, 113, 110, 114)(108, 111, 109, 112)(115, 117, 118, 116)(119, 122,
120, 121)(123, 128, 125, 129)(124, 127, 130, 126)(131, 133, 136, 134)(132, 138,
137, 135)(139, 145, 141, 143)(140, 146, 142, 144)(147, 150, 149, 151)(148, 153,
152, 154)(155, 159, 162, 160)(156, 158, 157, 161)(163, 164, 168, 166)(165, 169,
167, 170)(171, 177, 172, 178)(173, 176, 174, 175)(179, 186, 184, 182)(180, 185,
183, 181)(187, 191, 194, 189)(188, 192, 193, 190)(195, 201, 200, 199)(196, 202,
198, 197)(203, 205)(204, 206)(207, 209)(208, 210)(211, 213, 212, 214)(215, 218,
216, 217)(219, 226, 223, 220)(221, 225, 222, 224)(227, 229, 228, 230)(231, 232,
233, 234)(235, 242, 241, 239)(236, 237, 240, 238)(243, 245, 250, 244)(246, 248,
247, 249)(251, 254, 256, 255)(252, 253, 258, 257)(259, 261, 260, 263)(262, 265,
266, 264)(267, 273, 270, 268)(269, 271, 272, 274)(275, 279, 276, 278)(277, 282,
281, 280)(283, 289, 290, 287)(284, 285, 288, 286)(291, 297, 298, 293)(292, 294,
295, 296)(299, 301, 302, 304)(300, 305, 306, 303)(307, 312, 314, 310)(308, 311,
309, 313)(315, 322, 316, 321)(317, 319, 320, 318)(323, 327, 330, 325)(324, 329,
328, 326)(331, 338, 332, 333)(334, 337, 336, 335)(339, 344, 346, 341)(340, 343,
345, 342)(347, 349, 352, 350)(348, 353, 351, 354)(355, 356, 362, 357)(358, 360,
359, 361)(363, 366, 370, 367)(364, 369, 365, 368)(371, 374, 377, 375)(372, 378,
373, 376)(379, 386, 380, 382)(381, 383, 384, 385)(387, 391, 393, 388)(389, 390,
394, 392)(395, 398, 396, 400)(397, 402, 401, 399)(403, 404, 405, 407)(406, 410,
409, 408)(411, 414, 412, 413)(415, 417, 416, 418)(419, 422, 421, 423)(420, 425,
426, 424)(427, 434, 428, 430)(429, 431, 433, 432)(435, 442, 440, 439)(436, 437,
438, 441)(443, 446, 444, 445)(447, 448, 449, 450)(451, 452)(453, 454, 455,
456)(457, 463, 459, 461)(458, 462, 460, 464)(465, 468, 466, 467)(469, 473, 476,
471)(470, 472, 475, 474)(477, 479, 484, 481)(478, 480, 483, 482)(485, 491, 492,
487)(486, 488, 490, 489)(493, 499, 494, 496)(495, 497, 500, 498)(501, 506, 502,
504)(503, 508, 505, 507)(509, 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, 10)(2, 119)(3, 120)(4, 122)(5, 121)(6, 117)(7, 118)(8, 115)(9, 116)(11,
452)(12, 451)(13, 61)(14, 62)(15, 60)(16, 59)(17, 445)(18, 444)(19, 443)(20,
446)(21, 26)(22, 466)(23, 468)(24, 465)(25, 467)(27, 104)(28, 103)(29, 105)(30,
106)(32, 34)(33, 35)(39, 178)(40, 173)(41, 174)(42, 172)(43, 171)(44, 175)(45,
176)(46, 177)(47, 48)(51, 454)(52, 456)(53, 455)(54, 453)(55, 511)(56, 512)(57,
510)(58, 509)(63, 404)(64, 409)(65, 406)(66, 403)(67, 407)(68, 410)(69, 408)(70,
405)(71, 329)(72, 323)(73, 325)(74, 324)(75, 328)(76, 327)(77, 330)(78, 326)(79,
481)(80, 480)(81, 478)(82, 479)(83, 484)(84, 483)(85, 477)(86, 482)(87, 331)(88,
332)(89, 336)(90, 333)(91, 338)(92, 334)(93, 337)(94, 335)(95, 355)(96, 359)(97,
357)(98, 356)(99, 361)(100, 360)(101, 362)(102, 358)(107, 470)(108, 476)(109,
469)(110, 475)(111, 473)(112, 471)(113, 474)(114, 472)(123, 363)(124, 369)(125,
370)(126, 365)(127, 364)(128, 367)(129, 366)(130, 368)(131, 349)(132, 354)(133,
347)(134, 352)(135, 348)(136, 350)(137, 353)(138, 351)(139, 487)(140, 486)(141,
491)(142, 490)(143, 485)(144, 488)(145, 492)(146, 489)(147, 422)(148, 424)(149,
423)(150, 419)(151, 421)(152, 425)(153, 426)(154, 420)(155, 215)(156, 214)(157,
213)(158, 212)(159, 217)(160, 218)(161, 211)(162, 216)(163, 503)(164, 507)(165,
502)(166, 508)(167, 501)(168, 505)(169, 506)(170, 504)(179, 388)(180, 394)(181,
392)(182, 387)(183, 389)(184, 391)(185, 390)(186, 393)(187, 437)(188, 435)(189,
438)(190, 442)(191, 436)(192, 439)(193, 440)(194, 441)(195, 412)(196, 417)(197,
416)(198, 418)(199, 413)(200, 411)(201, 414)(202, 415)(207, 208)(209, 210)(219,
463)(220, 459)(221, 458)(222, 460)(223, 461)(224, 462)(225, 464)(226, 457)(227,
402)(228, 399)(229, 397)(230, 401)(231, 400)(232, 396)(233, 398)(234, 395)(235,
382)(236, 381)(237, 385)(238, 383)(239, 379)(240, 384)(241, 386)(242, 380)(243,
248)(244, 247)(245, 246)(249, 250)(251, 308)(252, 314)(253, 312)(254, 313)(255,
311)(256, 309)(257, 310)(258, 307)(259, 344)(260, 341)(261, 339)(262, 343)(263,
346)(264, 345)(265, 340)(266, 342)(267, 279)(268, 276)(269, 277)(270, 278)(271,
280)(272, 281)(273, 275)(274, 282)(283, 320)(284, 321)(285, 316)(286, 315)(287,
318)(288, 322)(289, 319)(290, 317)(291, 371)(292, 373)(293, 374)(294, 378)(295,
372)(296, 376)(297, 375)(298, 377)(299, 497)(300, 496)(301, 495)(302, 498)(303,
493)(304, 500)(305, 494)(306, 499)(429, 433)(430, 434)(448, 450)
c: (1, 17, 208, 443, 26, 446, 207, 19)(2, 131, 263, 471, 29, 474, 264, 137)(3,
108, 261, 352, 28, 351, 265, 110)(4, 135, 340, 353, 30, 469, 339, 112)(5, 114,
345, 475, 27, 350, 346, 134)(6, 89, 290, 335, 24, 366, 286, 123)(7, 128, 315,
331, 23, 334, 317, 130)(8, 90, 316, 363, 25, 364, 320, 94)(9, 126, 283, 368, 22,
338, 285, 87)(10, 445, 210, 18, 21, 20, 209, 444)(11, 32, 203, 36, 12, 33, 204,
31)(13, 201, 385, 419, 56, 420, 382, 198)(14, 153, 235, 424, 55, 413, 237,
195)(15, 197, 241, 418, 58, 422, 238, 150)(16, 149, 383, 412, 57, 415, 386,
148)(34, 205, 38, 451, 35, 206, 37, 452)(39, 440, 395, 43, 507, 230, 191,
505)(40, 501, 188, 234, 504, 44, 397, 436)(41, 177, 193, 190, 506, 166, 401,
399)(42, 176, 229, 228, 503, 165, 435, 442)(45, 437, 438, 168, 502, 231, 232,
171)(46, 398, 396, 170, 508, 194, 189, 173)(47, 427, 248, 455, 450, 428, 243,
453)(48, 432, 249, 54, 448, 431, 250, 53)(49, 51, 246, 434, 447, 52, 244,
430)(50, 454, 247, 429, 449, 456, 245, 433)(59, 414, 384, 200, 510, 154, 380,
425)(60, 426, 242, 196, 509, 199, 240, 421)(61, 423, 381, 151, 512, 202, 379,
417)(62, 416, 239, 152, 511, 147, 236, 411)(63, 211, 213, 179, 392, 220, 219,
409)(64, 387, 225, 156, 388, 68, 216, 461)(65, 404, 224, 221, 391, 181, 215,
218)(66, 390, 155, 223, 389, 67, 462, 214)(69, 457, 463, 183, 393, 158, 157,
403)(70, 408, 162, 160, 394, 186, 464, 458)(71, 359, 303, 312, 484, 141, 294,
277)(72, 356, 376, 269, 480, 142, 494, 253)(73, 276, 293, 146, 483, 313, 301,
355)(74, 255, 495, 145, 481, 273, 374, 360)(75, 282, 500, 95, 479, 314, 375,
489)(76, 258, 297, 100, 478, 271, 304, 492)(77, 487, 378, 309, 482, 102, 493,
279)(78, 486, 305, 267, 477, 97, 296, 256)(79, 252, 496, 99, 324, 274, 372,
485)(80, 358, 377, 310, 323, 139, 497, 281)(81, 254, 292, 143, 327, 268, 306,
361)(82, 275, 499, 144, 328, 311, 373, 362)(83, 357, 302, 272, 329, 140, 291,
257)(84, 280, 295, 101, 325, 307, 300, 488)(85, 491, 299, 308, 326, 96, 298,
278)(86, 490, 371, 270, 330, 98, 498, 251)(88, 468, 127, 319, 369, 118, 333,
322)(91, 288, 370, 117, 365, 289, 93, 465)(92, 318, 337, 115, 367, 321, 125,
467)(103, 113, 266, 470, 120, 349, 260, 133)(104, 109, 344, 347, 121, 348, 343,
107)(105, 138, 262, 354, 119, 476, 259, 111)(106, 136, 341, 473, 122, 472, 342,
132)(116, 336, 287, 124, 466, 129, 284, 332)(159, 406, 182, 212, 460, 184, 410,
226)(161, 222, 405, 185, 459, 217, 180, 407)(163, 178, 233, 192, 172, 164, 441,
402)(167, 400, 439, 169, 175, 187, 227, 174)
d: (1, 13, 455, 15)(2, 330, 480, 103)(3, 324, 77, 6)(4, 104, 484, 326)(5, 8, 78,
327)(7, 76, 84, 467)(9, 465, 82, 74)(10, 62, 54, 59)(11, 509, 51, 61)(12, 60,
52, 512)(14, 451, 57, 454)(16, 456, 55, 452)(17, 201, 245, 153)(18, 198, 49,
195)(19, 152, 449, 151)(20, 147, 246, 202)(21, 511, 53, 510)(22, 117, 328,
481)(23, 478, 325, 115)(24, 28, 79, 482)(25, 477, 81, 27)(26, 56, 453, 58)(29,
86, 72, 120)(30, 121, 71, 85)(31, 148, 250, 418)(32, 199, 48, 414)(33, 426, 448,
154)(34, 149, 450, 422)(35, 415, 47, 197)(36, 412, 249, 150)(37, 196, 248,
425)(38, 421, 243, 200)(39, 225, 442, 187)(40, 164, 184, 190)(41, 223, 409,
63)(42, 68, 403, 221)(43, 191, 180, 165)(44, 66, 232, 163)(45, 188, 436,
226)(46, 169, 227, 64)(50, 417, 443, 411)(65, 463, 173, 407)(67, 464, 213,
231)(69, 229, 217, 457)(70, 408, 171, 460)(73, 329, 118, 122)(75, 119, 116,
323)(80, 479, 105, 466)(83, 468, 106, 483)(87, 132, 270, 361)(88, 93, 256,
253)(89, 91, 358, 356)(90, 258, 140, 135)(92, 136, 141, 254)(94, 362, 272,
133)(95, 337, 352, 277)(96, 333, 334, 97)(98, 282, 126, 108)(99, 101, 111,
107)(100, 279, 353, 332)(102, 113, 129, 275)(109, 313, 307, 114)(110, 312, 489,
125)(112, 124, 492, 309)(123, 130, 281, 278)(127, 128, 486, 491)(131, 274, 273,
138)(134, 137, 146, 145)(139, 142, 366, 365)(143, 368, 473, 251)(144, 257, 470,
363)(155, 166, 233, 402)(156, 224, 404, 398)(157, 170, 185, 391)(158, 393, 435,
222)(159, 394, 186, 168)(160, 401, 410, 220)(161, 396, 230, 167)(162, 219, 437,
390)(172, 501, 389, 438)(174, 439, 388, 508)(175, 459, 189, 440)(176, 505, 395,
405)(177, 441, 192, 462)(178, 406, 399, 504)(179, 392, 506, 214)(181, 194, 461,
215)(182, 211, 458, 193)(183, 218, 503, 387)(203, 383, 434, 237)(204, 386, 430,
235)(205, 240, 433, 381)(206, 242, 429, 379)(207, 239, 427, 384)(208, 236, 428,
380)(209, 385, 432, 241)(210, 382, 431, 238)(212, 502, 397, 234)(216, 228, 400,
507)(244, 423, 445, 416)(247, 413, 446, 420)(252, 255, 476, 474)(259, 320, 497,
292)(260, 343, 371, 299)(261, 301, 378, 319)(262, 316, 377, 306)(263, 294, 494,
340)(264, 303, 376, 339)(265, 293, 493, 322)(266, 344, 498, 298)(267, 269, 369,
370)(268, 367, 472, 359)(271, 357, 469, 364)(276, 280, 350, 348)(283, 315, 499,
295)(284, 305, 375, 345)(285, 317, 373, 300)(286, 342, 496, 291)(287, 296, 500,
346)(288, 297, 495, 318)(289, 304, 374, 321)(290, 341, 372, 302)(308, 335, 331,
310)(311, 487, 349, 336)(314, 338, 351, 490)(347, 485, 488, 354)(355, 360, 475,
471)(419, 447, 424, 444)
e: (1, 39, 512, 41)(2, 131, 481, 96)(3, 95, 482, 132)(4, 371, 467, 373)(5,
27)(6, 24)(7, 128, 85, 255)(8, 257, 81, 124)(9, 304, 103, 303)(10, 175, 55,
171)(11, 221, 15, 226)(12, 218, 58, 212)(13, 233, 51, 185)(14, 168, 21, 167)(16,
179, 54, 228)(17, 410, 197, 505)(18, 502, 200, 403)(19, 177, 150, 391)(20, 390,
154, 174)(22, 297, 120, 294)(23, 334, 326, 273)(25, 272, 327, 332)(26, 507, 61,
506)(28, 489, 77, 473)(29, 474, 74, 491)(30, 498, 115, 499)(31, 159, 151,
440)(32, 399, 202, 224)(33, 190, 423, 215)(34, 438, 153, 158)(35, 232, 413,
457)(36, 460, 417, 230)(37, 223, 195, 400)(38, 214, 424, 187)(40, 432, 156,
386)(42, 449, 234, 412)(43, 446, 182, 422)(44, 416, 229, 448)(45, 425, 183,
444)(46, 385, 162, 434)(47, 164, 420, 194)(48, 501, 147, 435)(49, 192, 421,
170)(50, 436, 148, 503)(52, 407, 56, 441)(53, 442, 57, 409)(59, 462, 451,
463)(60, 394, 455, 396)(62, 397, 454, 387)(63, 152, 216, 250)(64, 247, 213,
149)(65, 443, 166, 418)(66, 209, 393, 235)(67, 414, 169, 445)(68, 511, 188,
456)(69, 237, 389, 210)(70, 453, 189, 509)(71, 340, 478, 318)(72, 280, 465,
91)(73, 324)(75, 94, 466, 279)(76, 321, 484, 339)(78, 323)(79, 483)(80, 477)(82,
285, 330, 260)(83, 352, 122, 361)(84, 356, 121, 348)(86, 266, 328, 283)(87, 312,
125, 270)(88, 333, 111, 476)(89, 475, 114, 335)(90, 341, 487, 291)(92, 271, 126,
311)(93, 295, 488, 343)(97, 146, 252, 281)(98, 469, 141, 349)(99, 276, 256,
139)(100, 353, 144, 470)(101, 344, 370, 300)(102, 302, 364, 342)(104, 109, 325,
142)(105, 119)(106, 143, 329, 110)(107, 494, 269, 289)(108, 284, 268, 500)(112,
362, 133, 492)(113, 490, 135, 359)(116, 309, 479, 363)(117, 365, 480, 307)(118,
468)(123, 366, 134, 350)(127, 354, 138, 369)(129, 261, 357, 493)(130, 495, 360,
264)(136, 316, 314, 292)(137, 298, 308, 317)(140, 378, 336, 265)(145, 263, 331,
374)(155, 452, 157, 510)(160, 426, 405, 246)(161, 243, 408, 419)(163, 428, 222,
242)(165, 236, 220, 433)(172, 427, 217, 240)(173, 447, 402, 196)(176, 239, 211,
429)(178, 201, 398, 450)(180, 244, 458, 199)(181, 381, 406, 207)(184, 208, 404,
379)(186, 198, 459, 248)(191, 241, 401, 203)(193, 204, 395, 238)(205, 227, 380,
437)(206, 439, 384, 231)(219, 415, 388, 245)(225, 249, 392, 411)(251, 368, 277,
337)(253, 288, 347, 376)(254, 375, 351, 287)(258, 338, 275, 367)(259, 322)(262,
319)(267, 358, 485, 313)(274, 310, 486, 355)(278, 315, 471, 299)(282, 306, 472,
320)(286, 346)(290, 345)(293, 296)(301, 305)(372, 377)(382, 464, 430, 508)(383,
504, 431, 461)(496, 497)
f: (1, 11)(2, 23)(3, 25)(4, 6)(5, 9)(7, 29)(8, 28)(10, 451)(12, 26)(13, 60)(14,
512)(15, 510)(16, 62)(17, 31)(18, 34)(19, 32)(20, 37)(21, 452)(22, 27)(24,
30)(33, 443)(35, 444)(36, 446)(38, 445)(39, 220)(40, 221)(41, 222)(42, 214)(43,
213)(44, 215)(45, 216)(46, 226)(47, 249)(48, 248)(49, 245)(50, 244)(51, 456)(52,
454)(53, 455)(54, 453)(55, 61)(56, 509)(57, 511)(58, 59)(63, 230)(64, 232)(65,
234)(66, 442)(67, 229)(68, 437)(69, 441)(70, 439)(71, 323)(72, 85)(73, 328)(74,
84)(75, 81)(76, 324)(77, 83)(78, 330)(79, 478)(80, 484)(82, 483)(86, 477)(87,
114)(88, 113)(89, 112)(90, 352)(91, 347)(92, 111)(93, 348)(94, 351)(95, 268)(96,
269)(97, 251)(98, 256)(99, 258)(100, 252)(101, 273)(102, 272)(103, 468)(104,
117)(105, 467)(106, 116)(107, 365)(108, 363)(109, 370)(110, 364)(115, 119)(118,
120)(121, 465)(122, 466)(123, 135)(124, 472)(125, 138)(126, 134)(127, 133)(128,
471)(129, 473)(130, 474)(131, 331)(132, 336)(136, 332)(137, 334)(139, 277)(140,
309)(141, 281)(142, 308)(143, 314)(144, 276)(145, 307)(146, 275)(147, 412)(148,
416)(149, 411)(150, 154)(151, 153)(152, 415)(155, 165)(156, 168)(157, 163)(158,
178)(159, 173)(160, 174)(161, 177)(162, 167)(164, 457)(166, 459)(169, 458)(170,
460)(171, 461)(172, 463)(175, 464)(176, 462)(179, 395)(180, 190)(181, 397)(182,
194)(183, 192)(184, 396)(185, 401)(186, 187)(188, 404)(189, 406)(191, 409)(193,
407)(195, 202)(196, 420)(197, 200)(198, 426)(199, 419)(201, 421)(203, 207)(204,
208)(205, 210)(206, 209)(211, 507)(212, 508)(217, 506)(218, 504)(219, 505)(223,
503)(224, 501)(225, 502)(227, 394)(228, 389)(231, 387)(233, 393)(235, 381)(236,
383)(237, 379)(238, 380)(239, 386)(240, 385)(241, 384)(242, 382)(243, 448)(246,
449)(247, 447)(250, 450)(253, 491)(254, 489)(255, 488)(257, 487)(259, 318)(260,
319)(261, 316)(262, 321)(263, 315)(264, 317)(265, 320)(266, 322)(267, 490)(270,
486)(271, 485)(274, 492)(278, 356)(279, 357)(280, 360)(282, 361)(283, 346)(284,
341)(285, 345)(286, 340)(287, 342)(288, 344)(289, 343)(290, 339)(291, 378)(292,
375)(293, 499)(294, 497)(295, 374)(296, 498)(297, 496)(298, 376)(299, 494)(300,
495)(301, 373)(302, 493)(303, 377)(304, 372)(305, 371)(306, 500)(310, 359)(311,
355)(312, 358)(313, 362)(325, 481)(326, 480)(327, 479)(329, 482)(333, 470)(335,
469)(337, 476)(338, 475)(349, 369)(350, 368)(353, 366)(354, 367)(388, 438)(390,
435)(391, 436)(392, 440)(398, 410)(399, 405)(400, 408)(402, 403)(413, 417)(414,
418)(422, 425)(423, 424)(427, 432)(428, 431)(429, 434)(430, 433)
g: (4, 5)(6, 9)(14, 15)(17, 19)(18, 20)(22, 24)(27, 30)(31, 32)(33, 36)(34,
37)(35, 38)(39, 40)(41, 46)(42, 45)(43, 44)(47, 50)(48, 49)(51, 53)(52, 54)(55,
58)(59, 61)(63, 65)(64, 67)(66, 68)(69, 70)(71, 73)(72, 74)(75, 77)(76, 78)(79,
86)(80, 82)(81, 83)(84, 85)(87, 89)(88, 92)(90, 94)(91, 93)(95, 102)(96,
101)(97, 100)(98, 99)(103, 105)(107, 109)(108, 110)(111, 113)(112, 114)(115,
118)(119, 120)(123, 126)(124, 129)(125, 127)(128, 130)(131, 137)(132, 136)(133,
138)(134, 135)(139, 144)(140, 143)(141, 146)(142, 145)(147, 152)(148, 149)(150,
153)(151, 154)(155, 156)(157, 162)(158, 160)(159, 161)(163, 167)(164, 169)(165,
168)(166, 170)(171, 176)(172, 175)(173, 177)(174, 178)(179, 181)(180, 182)(183,
186)(184, 185)(187, 192)(188, 191)(189, 193)(190, 194)(195, 197)(196, 199)(198,
201)(200, 202)(203, 204)(205, 206)(207, 208)(209, 210)(211, 218)(212, 217)(213,
215)(214, 216)(219, 224)(220, 221)(222, 226)(223, 225)(227, 233)(228, 231)(229,
232)(230, 234)(235, 238)(236, 239)(237, 241)(240, 242)(243, 247)(244, 249)(245,
248)(246, 250)(251, 252)(253, 255)(254, 257)(256, 258)(259, 266)(260, 262)(261,
265)(263, 264)(267, 271)(268, 272)(269, 273)(270, 274)(275, 281)(276, 277)(278,
280)(279, 282)(283, 286)(284, 287)(285, 290)(288, 289)(291, 292)(293, 294)(295,
298)(296, 297)(299, 300)(301, 303)(302, 306)(304, 305)(307, 308)(309, 314)(310,
311)(312, 313)(315, 317)(316, 320)(318, 322)(319, 321)(323, 328)(324, 330)(325,
326)(327, 329)(331, 334)(332, 336)(333, 337)(335, 338)(339, 345)(340, 346)(341,
342)(343, 344)(347, 348)(349, 354)(350, 353)(351, 352)(355, 359)(356, 360)(357,
361)(358, 362)(363, 364)(365, 370)(366, 368)(367, 369)(371, 372)(373, 377)(374,
376)(375, 378)(379, 384)(380, 381)(382, 385)(383, 386)(387, 389)(388, 390)(391,
392)(393, 394)(395, 397)(396, 401)(398, 399)(400, 402)(403, 408)(404, 409)(405,
410)(406, 407)(411, 416)(412, 415)(413, 418)(414, 417)(419, 420)(421, 426)(422,
424)(423, 425)(427, 433)(428, 429)(430, 432)(431, 434)(435, 438)(436, 440)(437,
442)(439, 441)(443, 446)(444, 445)(447, 448)(449, 450)(453, 454)(455, 456)(457,
458)(459, 460)(461, 462)(463, 464)(467, 468)(469, 475)(470, 476)(471, 474)(472,
473)(477, 478)(479, 482)(480, 481)(483, 484)(485, 490)(486, 492)(487, 489)(488,
491)(493, 500)(494, 495)(496, 498)(497, 499)(501, 505)(502, 503)(504, 507)(506,
508)(510, 512)
C4[ 512, 577 ]
512
-1 2 3 4 5
-2 1 511 501 505
-3 1 509 502 503
-4 1 508 510 504
-5 506 1 507 512
-6 11 212 15 218
-7 12 213 16 215
-8 12 13 214 216
-9 11 211 14 217
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-58 24 81 85 120
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-65 89 100 83 315
-66 319 90 101 86
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-69 102 322 82 93
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-317 386 203 391 63
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-319 66 380 205 393
-320 67 388 203 382
-321 68 381 206 394
-322 69 389 206 384
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-324 397 13 387 51
-325 398 14 390 51
-326 388 399 15 53
-327 15 400 392 52
-328 16 401 52 393
-329 14 391 402 54
-330 13 389 53 395
-331 220 412 404 31
-332 407 37 411 226
-333 35 223 403 414
-334 221 409 415 32
-335 418 36 410 224
-336 34 222 416 406
-337 408 38 225 417
-338 33 413 405 219
-339 396 188 207 384
-340 397 189 380 208
-341 209 398 190 383
-342 210 386 399 194
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-344 209 385 400 192
-345 191 379 401 208
-346 193 381 207 395
-347 419 444 172 439
-348 441 420 445 175
-349 178 422 445 435
-350 440 177 423 446
-351 176 446 426 437
-352 442 421 443 171
-353 443 425 436 173
-354 444 424 174 438
-355 178 411 50 405
-356 407 47 171 414
-357 48 413 172 404
-358 408 48 173 415
-359 47 410 174 416
-360 176 50 406 417
-361 418 409 49 175
-362 177 49 412 403
-363 155 419 387 31
-364 156 420 389 32
-365 34 157 426 394
-366 33 422 159 391
-367 35 388 423 160
-368 36 424 161 392
-369 158 38 390 425
-370 421 37 162 393
-371 155 431 39 382
-372 385 156 434 40
-373 430 157 41 383
-374 433 159 379 42
-375 429 160 380 43
-376 45 161 427 384
-377 386 46 432 162
-378 44 158 381 428
-379 374 345 493 318
-380 319 375 340 494
-381 495 321 378 346
-382 320 496 343 371
-383 341 497 315 373
-384 376 322 500 339
-385 344 498 316 372
-386 342 377 499 317
-387 363 324 491 318
-388 320 485 367 326
-389 330 364 322 488
-390 325 369 490 316
-391 366 492 317 329
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