Graph forms
for C4 [ 512, 603 ] = SS[512,140]
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On this page are computer-accessible forms for the graph C4[ 512, 603 ] =
SS[512,140].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {464, 465}, {1, 3}, {464, 466}, {1, 2}, {464, 467}, {1, 5}, {464,
468}, {1, 4}, {32, 39}, {496, 504}, {33, 40}, {498, 507}, {497, 506}, {96, 109},
{500, 505}, {97, 110}, {499, 508}, {362, 378}, {367, 383}, {10, 27}, {365, 380},
{97, 112}, {96, 113}, {11, 26}, {10, 24}, {364, 382}, {10, 25}, {492, 511},
{459, 472}, {454, 469}, {9, 29}, {491, 511}, {461, 473}, {456, 476}, {10, 30},
{224, 244}, {225, 245}, {366, 379}, {363, 381}, {488, 510}, {460, 474}, {455,
465}, {8, 31}, {454, 465}, {11, 28}, {225, 246}, {11, 19}, {495, 503}, {494,
502}, {493, 501}, {485, 509}, {483, 507}, {480, 504}, {460, 468}, {224, 248},
{458, 467}, {487, 510}, {8, 18}, {456, 466}, {352, 379}, {486, 509}, {481, 506},
{457, 466}, {450, 478}, {458, 470}, {455, 475}, {8, 21}, {484, 505}, {450, 479},
{11, 22}, {9, 20}, {9, 23}, {482, 508}, {461, 467}, {457, 471}, {451, 477},
{459, 468}, {214, 246}, {472, 504}, {471, 503}, {470, 502}, {469, 501}, {452,
484}, {449, 481}, {215, 247}, {218, 250}, {82, 115}, {351, 382}, {86, 119},
{200, 233}, {216, 249}, {217, 248}, {218, 251}, {196, 230}, {475, 505}, {462,
492}, {197, 231}, {217, 251}, {220, 254}, {221, 255}, {350, 381}, {473, 506},
{451, 480}, {448, 483}, {199, 227}, {463, 491}, {462, 490}, {347, 383}, {202,
238}, {203, 239}, {83, 118}, {452, 481}, {87, 114}, {206, 235}, {194, 228},
{474, 508}, {463, 489}, {462, 488}, {453, 483}, {346, 380}, {195, 229}, {210,
244}, {211, 245}, {212, 242}, {213, 243}, {219, 253}, {205, 234}, {476, 507},
{453, 482}, {349, 378}, {219, 252}, {222, 249}, {8, 32}, {479, 503}, {478, 502},
{477, 501}, {463, 487}, {462, 486}, {9, 33}, {223, 247}, {214, 255}, {215, 253},
{463, 485}, {201, 226}, {468, 511}, {84, 120}, {466, 510}, {465, 509}, {85,
121}, {210, 254}, {88, 117}, {89, 116}, {192, 237}, {193, 236}, {222, 243},
{223, 242}, {81, 127}, {198, 232}, {211, 252}, {213, 250}, {18, 34}, {330, 378},
{95, 111}, {75, 123}, {74, 122}, {20, 36}, {19, 35}, {77, 124}, {333, 380}, {79,
126}, {23, 37}, {91, 105}, {27, 40}, {95, 108}, {78, 125}, {22, 34}, {331, 383},
{330, 382}, {94, 106}, {29, 41}, {221, 233}, {65, 116}, {94, 107}, {93, 104},
{72, 125}, {221, 232}, {21, 35}, {331, 381}, {30, 41}, {332, 379}, {64, 119},
{70, 126}, {91, 99}, {90, 98}, {71, 127}, {31, 38}, {92, 101}, {69, 124}, {67,
122}, {28, 38}, {92, 103}, {93, 102}, {24, 36}, {25, 37}, {219, 231}, {26, 39},
{204, 241}, {208, 237}, {209, 236}, {219, 230}, {90, 100}, {218, 228}, {220,
226}, {68, 123}, {207, 240}, {218, 229}, {220, 227}, {422, 486}, {56, 122},
{421, 487}, {425, 490}, {57, 125}, {61, 121}, {180, 240}, {181, 241}, {63, 120},
{16, 90}, {418, 488}, {53, 127}, {17, 91}, {16, 92}, {423, 491}, {62, 114}, {58,
118}, {50, 126}, {17, 93}, {189, 241}, {420, 489}, {424, 485}, {17, 95}, {59,
117}, {17, 94}, {419, 492}, {60, 115}, {52, 123}, {51, 124}, {191, 240}, {167,
247}, {186, 234}, {15, 94}, {168, 249}, {169, 248}, {166, 244}, {417, 499},
{184, 234}, {12, 95}, {15, 92}, {14, 93}, {188, 239}, {162, 246}, {416, 500},
{185, 236}, {187, 238}, {190, 235}, {12, 90}, {13, 91}, {163, 245}, {164, 242},
{165, 243}, {389, 477}, {183, 237}, {160, 251}, {447, 484}, {178, 238}, {444,
480}, {387, 479}, {386, 478}, {179, 239}, {182, 235}, {445, 482}, {46, 78},
{441, 473}, {156, 252}, {49, 81}, {48, 80}, {47, 79}, {157, 253}, {47, 77},
{401, 499}, {49, 83}, {43, 72}, {446, 477}, {396, 495}, {391, 484}, {46, 74},
{443, 479}, {442, 478}, {400, 500}, {388, 480}, {158, 250}, {44, 73}, {435,
470}, {407, 498}, {405, 496}, {395, 494}, {390, 483}, {384, 485}, {155, 254},
{154, 255}, {48, 86}, {48, 87}, {434, 469}, {406, 497}, {394, 493}, {37, 77},
{393, 481}, {385, 489}, {49, 89}, {45, 69}, {35, 74}, {437, 476}, {433, 472},
{45, 68}, {43, 66}, {392, 482}, {409, 499}, {36, 79}, {432, 475}, {34, 78},
{408, 500}, {42, 70}, {13, 96}, {439, 474}, {415, 498}, {413, 496}, {42, 71},
{438, 472}, {14, 97}, {440, 471}, {436, 475}, {414, 497}, {44, 67}, {36, 75},
{35, 76}, {16, 96}, {40, 88}, {39, 87}, {38, 86}, {16, 97}, {429, 476}, {40,
89}, {34, 80}, {38, 85}, {412, 495}, {37, 81}, {430, 474}, {39, 82}, {428, 473},
{411, 494}, {47, 88}, {410, 493}, {431, 471}, {41, 83}, {49, 75}, {46, 85},
{404, 495}, {47, 84}, {46, 82}, {48, 76}, {41, 84}, {427, 470}, {403, 494},
{399, 498}, {397, 496}, {398, 497}, {426, 469}, {402, 493}, {27, 155}, {79,
207}, {78, 206}, {77, 205}, {76, 204}, {75, 203}, {74, 202}, {58, 186}, {291,
419}, {292, 420}, {293, 421}, {32, 161}, {313, 440}, {308, 437}, {81, 208}, {80,
209}, {73, 200}, {60, 189}, {294, 423}, {297, 424}, {29, 159}, {309, 439}, {31,
157}, {68, 199}, {84, 215}, {290, 422}, {311, 435}, {61, 184}, {307, 438}, {87,
210}, {83, 214}, {71, 194}, {70, 195}, {67, 198}, {62, 187}, {26, 156}, {306,
436}, {63, 185}, {28, 154}, {30, 153}, {82, 213}, {66, 197}, {59, 188}, {31,
152}, {303, 423}, {320, 456}, {27, 146}, {300, 421}, {298, 419}, {59, 178}, {28,
150}, {321, 459}, {312, 434}, {62, 180}, {29, 151}, {296, 418}, {88, 211}, {301,
422}, {288, 427}, {58, 182}, {302, 418}, {85, 217}, {72, 196}, {69, 201}, {289,
429}, {89, 212}, {86, 216}, {295, 425}, {26, 149}, {310, 441}, {299, 420}, {62,
177}, {60, 179}, {61, 173}, {380, 492}, {51, 162}, {63, 174}, {58, 171}, {57,
168}, {258, 403}, {53, 167}, {55, 165}, {260, 407}, {379, 488}, {59, 175}, {262,
402}, {383, 490}, {50, 164}, {381, 491}, {60, 170}, {259, 405}, {52, 163}, {382,
486}, {304, 425}, {305, 424}, {264, 404}, {261, 408}, {378, 487}, {316, 417},
{56, 166}, {263, 409}, {54, 169}, {265, 406}, {314, 410}, {318, 414}, {272,
434}, {317, 415}, {273, 435}, {319, 411}, {24, 189}, {25, 190}, {315, 412}, {18,
186}, {21, 188}, {280, 433}, {281, 432}, {362, 448}, {19, 191}, {286, 432},
{287, 433}, {20, 187}, {18, 162}, {282, 426}, {22, 167}, {368, 449}, {25, 168},
{20, 166}, {33, 147}, {284, 430}, {285, 431}, {32, 148}, {317, 393}, {21, 163},
{270, 440}, {271, 441}, {19, 164}, {55, 128}, {54, 129}, {283, 428}, {274, 426},
{318, 390}, {314, 386}, {268, 437}, {269, 439}, {319, 389}, {276, 430}, {277,
431}, {256, 443}, {316, 391}, {278, 429}, {279, 427}, {24, 165}, {267, 438},
{23, 169}, {30, 160}, {257, 447}, {266, 436}, {33, 158}, {315, 388}, {275, 428},
{323, 387}, {376, 440}, {373, 437}, {371, 435}, {337, 401}, {325, 388}, {374,
439}, {335, 398}, {66, 128}, {372, 438}, {338, 400}, {320, 387}, {334, 394},
{357, 417}, {341, 401}, {335, 395}, {322, 391}, {349, 408}, {323, 390}, {324,
386}, {370, 436}, {322, 389}, {374, 433}, {73, 129}, {350, 406}, {321, 392},
{377, 432}, {361, 416}, {346, 403}, {348, 407}, {377, 434}, {351, 404}, {76,
128}, {333, 385}, {332, 384}, {324, 393}, {325, 392}, {347, 405}, {375, 441},
{369, 447}, {80, 129}, {365, 444}, {345, 392}, {341, 388}, {344, 394}, {364,
446}, {342, 386}, {345, 397}, {343, 387}, {339, 390}, {376, 429}, {367, 442},
{366, 443}, {22, 192}, {363, 445}, {23, 193}, {72, 159}, {338, 389}, {67, 155},
{370, 426}, {343, 399}, {342, 398}, {68, 156}, {71, 157}, {373, 431}, {372,
430}, {66, 158}, {375, 427}, {348, 384}, {337, 397}, {336, 396}, {320, 413},
{340, 393}, {334, 400}, {69, 154}, {371, 428}, {344, 391}, {340, 395}, {339,
396}, {336, 399}, {353, 385}, {321, 416}, {329, 424}, {328, 425}, {327, 422},
{326, 420}, {327, 421}, {326, 419}, {70, 161}, {73, 160}, {329, 418}, {64, 172},
{328, 423}, {57, 201}, {361, 409}, {358, 406}, {52, 197}, {369, 384}, {368,
385}, {354, 403}, {65, 176}, {53, 196}, {352, 402}, {356, 407}, {50, 198}, {65,
181}, {55, 195}, {54, 194}, {359, 402}, {360, 413}, {355, 405}, {64, 183}, {318,
457}, {317, 458}, {315, 460}, {314, 461}, {319, 455}, {354, 410}, {353, 409},
{358, 415}, {316, 454}, {356, 414}, {51, 200}, {61, 193}, {360, 404}, {359,
411}, {357, 408}, {64, 190}, {65, 191}, {56, 199}, {355, 412}, {63, 192}, {113,
370}, {104, 367}, {112, 376}, {101, 366}, {102, 363}, {98, 364}, {100, 362},
{99, 365}, {111, 352}, {114, 354}, {119, 359}, {118, 358}, {117, 357}, {116,
356}, {115, 355}, {98, 371}, {121, 360}, {120, 361}, {112, 353}, {104, 377},
{103, 374}, {101, 372}, {100, 375}, {102, 370}, {109, 377}, {103, 369}, {108,
372}, {105, 368}, {111, 374}, {106, 371}, {99, 376}, {110, 373}, {105, 373},
{107, 375}, {231, 455}, {232, 456}, {226, 454}, {233, 461}, {227, 458}, {113,
347}, {230, 460}, {228, 457}, {229, 459}, {108, 348}, {109, 350}, {107, 351},
{110, 346}, {245, 449}, {106, 349}, {247, 448}, {251, 448}, {254, 449}, {42,
362}, {119, 311}, {117, 309}, {42, 363}, {253, 444}, {44, 366}, {122, 312},
{118, 308}, {116, 310}, {248, 442}, {252, 446}, {44, 367}, {105, 298}, {108,
296}, {249, 444}, {255, 442}, {43, 365}, {111, 297}, {43, 364}, {104, 303},
{250, 445}, {99, 299}, {126, 310}, {124, 308}, {106, 290}, {100, 301}, {103,
302}, {246, 447}, {109, 295}, {125, 311}, {121, 307}, {120, 306}, {115, 313},
{114, 312}, {110, 292}, {237, 417}, {127, 306}, {243, 446}, {98, 300}, {123,
309}, {107, 293}, {239, 416}, {242, 445}, {244, 443}, {6, 343}, {7, 342}, {6,
340}, {7, 341}, {112, 291}, {6, 338}, {101, 305}, {7, 339}, {102, 304}, {14,
345}, {113, 294}, {15, 344}, {13, 341}, {15, 343}, {14, 342}, {13, 340}, {45,
369}, {45, 368}, {12, 338}, {6, 345}, {12, 339}, {7, 344}, {233, 395}, {232,
396}, {228, 399}, {230, 397}, {241, 413}, {227, 398}, {231, 394}, {240, 415},
{236, 412}, {235, 410}, {226, 400}, {229, 401}, {234, 414}, {238, 411}, {145,
273}, {170, 298}, {171, 299}, {172, 301}, {174, 303}, {177, 304}, {143, 269},
{173, 302}, {142, 266}, {143, 267}, {184, 317}, {167, 289}, {158, 281}, {182,
305}, {148, 284}, {154, 274}, {151, 287}, {150, 286}, {157, 277}, {178, 314},
{184, 304}, {147, 282}, {169, 288}, {182, 319}, {180, 318}, {156, 279}, {159,
276}, {155, 278}, {149, 283}, {181, 315}, {146, 285}, {179, 316}, {150, 262},
{153, 265}, {152, 264}, {151, 263}, {137, 282}, {139, 280}, {138, 281}, {136,
285}, {185, 300}, {146, 260}, {147, 261}, {137, 286}, {149, 258}, {148, 259},
{135, 287}, {141, 277}, {138, 274}, {178, 299}, {180, 302}, {181, 303}, {135,
284}, {141, 278}, {140, 279}, {144, 268}, {176, 300}, {134, 283}, {183, 298},
{142, 272}, {145, 271}, {144, 270}, {159, 257}, {175, 305}, {179, 301}, {139,
276}, {140, 275}, {161, 256}, {189, 281}, {134, 288}, {191, 280}, {186, 274},
{136, 289}, {171, 258}, {172, 261}, {173, 260}, {175, 262}, {190, 276}, {188,
279}, {170, 263}, {174, 259}, {187, 278}, {130, 306}, {131, 307}, {133, 308},
{129, 307}, {132, 310}, {132, 311}, {160, 275}, {131, 309}, {168, 287}, {163,
283}, {164, 284}, {176, 264}, {177, 265}, {128, 313}, {153, 288}, {152, 289},
{161, 280}, {130, 312}, {166, 285}, {133, 313}, {162, 286}, {165, 282}, {143,
335}, {145, 337}, {202, 266}, {203, 267}, {204, 268}, {208, 272}, {130, 323},
{132, 325}, {206, 271}, {225, 291}, {134, 325}, {142, 333}, {141, 334}, {136,
331}, {135, 324}, {205, 270}, {130, 326}, {139, 335}, {137, 333}, {131, 327},
{140, 329}, {143, 330}, {141, 328}, {212, 273}, {224, 294}, {131, 324}, {133,
322}, {215, 272}, {203, 258}, {204, 261}, {206, 263}, {224, 297}, {225, 296},
{134, 332}, {137, 323}, {136, 322}, {171, 352}, {205, 262}, {138, 326}, {139,
327}, {207, 259}, {132, 329}, {135, 330}, {133, 328}, {172, 353}, {202, 260},
{193, 275}, {212, 256}, {217, 269}, {192, 277}, {216, 271}, {208, 264}, {209,
265}, {210, 266}, {211, 267}, {214, 270}, {213, 268}, {216, 257}, {138, 336},
{144, 331}, {209, 269}, {140, 337}, {145, 332}, {220, 257}, {221, 256}, {142,
336}, {144, 334}, {207, 273}, {194, 290}, {196, 292}, {197, 293}, {201, 296},
{195, 295}, {199, 291}, {176, 347}, {177, 348}, {200, 294}, {198, 297}, {50,
450}, {151, 359}, {150, 358}, {149, 357}, {148, 356}, {147, 355}, {146, 354},
{51, 450}, {153, 360}, {152, 361}, {174, 351}, {55, 453}, {4, 503}, {54, 453},
{173, 350}, {3, 502}, {175, 346}, {53, 451}, {183, 321}, {2, 501}, {52, 451},
{170, 349}, {223, 295}, {3, 506}, {5, 508}, {4, 509}, {185, 320}, {222, 292},
{2, 505}, {222, 293}, {2, 510}, {56, 452}, {3, 511}, {5, 504}, {57, 452}, {223,
290}, {4, 507}, {5, 512}, {467, 512}, {489, 512}, {490, 512} }>;
(II) A more general form is to represent the graph as the orbit of {464, 465}
under the group generated by the following permutations:
a: (1, 98, 512, 100)(2, 300, 489, 362)(3, 371, 467, 375)(4, 364, 490, 301)(5,
90)(6, 397, 14, 392)(7, 388, 13, 401)(8, 162, 34, 186)(9, 187, 36, 166)(10, 146,
40, 155)(11, 154, 38, 150)(12, 504, 16, 508)(15, 460, 17, 459)(19, 69, 85,
262)(21, 51, 78, 234)(22, 274, 31, 286)(23, 238, 79, 56)(24, 285, 33, 278)(25,
260, 88, 67)(26, 255, 86, 358)(29, 62, 75, 244)(30, 354, 89, 254)(32, 246, 80,
58)(35, 124, 46, 205)(37, 202, 47, 122)(39, 214, 48, 118)(41, 114, 49, 210)(42,
505, 185, 420)(43, 425, 179, 503)(44, 190, 407, 211)(45, 217, 402, 191)(50, 57,
61, 59)(52, 294, 263, 318)(53, 370, 361, 323)(54, 319, 259, 291)(55, 322, 355,
376)(60, 471, 66, 328)(63, 326, 71, 475)(64, 498, 252, 367)(65, 368, 251,
493)(68, 248, 359, 240)(70, 484, 236, 299)(72, 304, 239, 479)(73, 235, 356,
245)(74, 77)(76, 308, 82, 270)(81, 266, 84, 312)(83, 87)(91, 229, 344, 315)(92,
474, 95, 472)(93, 321, 343, 230)(94, 468)(96, 499, 339, 480)(97, 482, 338,
496)(99, 195, 391, 412)(101, 430, 108, 438)(102, 416, 387, 196)(103, 439, 111,
433)(104, 183, 399, 219)(105, 218, 394, 181)(106, 464, 107, 511)(109, 417, 396,
444)(110, 445, 400, 413)(112, 453, 389, 405)(113, 409, 390, 451)(115, 440, 128,
133)(116, 449, 160, 410)(117, 198, 168, 173)(119, 415, 156, 442)(120, 130, 127,
436)(121, 175, 164, 201)(123, 224, 151, 180)(125, 184, 188, 450)(126, 452, 193,
178)(129, 182, 148, 225)(131, 424, 135, 418)(132, 393, 140, 386)(134, 395, 145,
398)(136, 147, 429, 165)(137, 167, 426, 152)(138, 157, 432, 192)(139, 384, 143,
379)(141, 189, 431, 158)(142, 215, 434, 208)(144, 204, 437, 213)(149, 221, 216,
406)(153, 403, 212, 220)(159, 177, 203, 443)(161, 447, 209, 171)(163, 200, 206,
414)(169, 411, 207, 199)(170, 457, 197, 423)(172, 507, 446, 383)(174, 419, 194,
455)(176, 385, 448, 501)(222, 381, 408, 456)(223, 454, 404, 380)(226, 360, 346,
242)(227, 288, 494, 273)(228, 231, 303, 298)(232, 249, 350, 357)(233, 271, 497,
283)(237, 336, 253, 377)(241, 373, 250, 334)(243, 331, 261, 476)(247, 469, 264,
333)(256, 257, 265, 258)(267, 366, 276, 348)(269, 352, 280, 369)(275, 314, 310,
481)(277, 281)(279, 478, 311, 317)(282, 289)(284, 296, 307, 305)(287, 302, 309,
297)(290, 465, 351, 492)(292, 363, 500, 320)(293, 491, 349, 466)(295, 316, 495,
365)(324, 329)(325, 340, 337, 342)(327, 485, 330, 488)(332, 335)(347, 353, 483,
477)(378, 510, 421, 463)(382, 462, 422, 509)(427, 502, 435, 458)(428, 461, 441,
506) (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, 464, 15)(2, 338, 465, 344)(3, 90, 467, 94)(4, 339, 466, 343)(5, 95,
468, 92)(6, 509, 7, 510)(8, 34, 11, 38)(9, 36, 10, 40)(13, 462, 14, 463)(16,
512, 17, 511)(18, 22, 28, 31)(19, 85, 32, 80)(20, 24, 27, 33)(21, 78, 26,
86)(23, 79, 30, 89)(25, 88, 29, 75)(35, 46, 39, 48)(37, 47, 41, 49)(42, 200,
223, 442)(43, 199, 222, 449)(44, 445, 224, 195)(45, 444, 225, 196)(50, 251, 256,
54)(51, 247, 255, 71)(52, 57, 252, 257)(53, 69, 253, 246)(55, 67, 250, 244)(56,
243, 254, 66)(58, 237, 262, 361)(59, 263, 258, 64)(60, 354, 261, 238)(61, 259,
265, 65)(62, 241, 260, 355)(63, 358, 264, 234)(68, 249, 245, 72)(70, 73, 242,
248)(74, 82, 87, 76)(77, 84, 83, 81)(91, 492, 97, 489)(93, 491, 96, 490)(98,
458, 107, 506)(99, 419, 110, 385)(100, 461, 106, 502)(101, 508, 111, 459)(102,
423, 109, 383)(103, 504, 108, 460)(104, 381, 113, 425)(105, 380, 112, 420)(114,
204, 202, 115)(116, 193, 207, 153)(117, 151, 203, 190)(118, 208, 205, 120)(119,
188, 206, 149)(121, 148, 209, 191)(122, 213, 210, 128)(123, 168, 211, 159)(124,
215, 214, 127)(125, 156, 216, 163)(126, 160, 212, 169)(129, 164, 217, 161)(130,
437, 142, 440)(131, 135, 143, 139)(132, 140, 145, 134)(133, 434, 144, 436)(136,
426, 141, 432)(137, 429, 138, 431)(146, 147, 187, 189)(150, 152, 186, 192)(154,
157, 162, 167)(155, 158, 166, 165)(170, 403, 172, 178)(171, 183, 175, 409)(173,
405, 177, 181)(174, 406, 176, 184)(179, 410, 408, 411)(180, 413, 407, 412)(182,
417, 402, 416)(185, 415, 404, 414)(194, 450, 448, 221)(197, 452, 446, 220)(198,
218, 443, 453)(201, 219, 447, 451)(226, 231, 484, 477)(227, 293, 481, 364)(228,
479, 483, 232)(229, 366, 482, 297)(230, 369, 480, 296)(233, 290, 478, 362)(235,
357, 359, 239)(236, 240, 360, 356)(266, 313, 312, 268)(267, 276, 309, 287)(269,
280, 307, 284)(270, 306, 308, 272)(271, 283, 311, 279)(273, 288, 310, 275)(274,
277, 286, 289)(278, 281, 285, 282)(291, 292, 368, 365)(294, 295, 367, 363)(298,
346, 353, 299)(300, 317, 351, 497)(301, 314, 349, 494)(302, 496, 348, 315)(303,
350, 347, 304)(305, 499, 352, 321)(316, 493, 500, 319)(318, 320, 498, 495)(322,
469, 334, 475)(323, 476, 336, 471)(324, 330, 335, 327)(325, 329, 337, 332)(326,
373, 333, 376)(328, 377, 331, 370)(340, 486, 342, 487)(341, 488, 345, 485)(371,
470, 375, 473)(372, 474, 374, 472)(378, 395, 422, 386)(379, 392, 424, 401)(382,
398, 421, 393)(384, 388, 418, 397)(387, 507, 396, 457)(389, 454, 394, 505)(390,
456, 399, 503)(391, 501, 400, 455)(427, 441, 428, 435)(430, 439, 433, 438)
c: (2, 5)(3, 4)(6, 7)(8, 11)(12, 13)(14, 15)(16, 17)(18, 19)(20, 23)(21, 22)(24,
25)(26, 31)(27, 30)(28, 32)(29, 33)(34, 35)(36, 37)(38, 39)(40, 41)(42, 45)(46,
48)(50, 51)(52, 53)(54, 56)(55, 57)(58, 65)(59, 63)(60, 64)(61, 62)(66, 72)(67,
73)(68, 71)(69, 70)(74, 80)(75, 81)(76, 78)(77, 79)(82, 86)(83, 89)(84, 88)(85,
87)(90, 91)(92, 93)(94, 97)(95, 96)(98, 99)(100, 105)(101, 104)(102, 103)(106,
112)(107, 110)(108, 109)(111, 113)(114, 121)(115, 119)(116, 118)(117, 120)(122,
129)(123, 127)(124, 126)(125, 128)(130, 131)(132, 133)(134, 136)(135, 137)(138,
139)(140, 141)(142, 143)(144, 145)(146, 153)(147, 151)(148, 150)(149, 152)(154,
161)(155, 160)(156, 157)(158, 159)(162, 164)(163, 167)(165, 168)(166, 169)(170,
172)(171, 176)(173, 177)(174, 175)(178, 185)(179, 183)(180, 184)(181, 182)(186,
191)(187, 193)(188, 192)(189, 190)(194, 199)(195, 201)(196, 197)(198, 200)(202,
209)(203, 208)(204, 206)(205, 207)(210, 217)(211, 215)(212, 214)(213, 216)(218,
220)(223, 225)(226, 229)(227, 228)(230, 231)(232, 233)(234, 240)(235, 241)(236,
238)(237, 239)(242, 246)(243, 249)(244, 248)(245, 247)(250, 257)(251, 254)(252,
253)(255, 256)(258, 264)(259, 262)(260, 265)(261, 263)(266, 269)(267, 272)(268,
271)(270, 273)(274, 280)(275, 278)(276, 281)(277, 279)(282, 287)(283, 289)(284,
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321)(317, 318)(322, 325)(323, 324)(326, 327)(328, 329)(330, 333)(331, 332)(334,
337)(335, 336)(338, 341)(339, 340)(342, 343)(344, 345)(346, 351)(347, 352)(348,
350)(349, 353)(354, 360)(355, 359)(356, 358)(357, 361)(362, 368)(363, 369)(364,
365)(366, 367)(370, 374)(371, 376)(372, 377)(373, 375)(378, 385)(379, 383)(380,
382)(381, 384)(386, 387)(388, 389)(390, 393)(391, 392)(394, 397)(395, 396)(398,
399)(400, 401)(402, 405)(403, 404)(406, 407)(408, 409)(410, 413)(411, 412)(414,
415)(416, 417)(418, 425)(419, 422)(420, 421)(423, 424)(426, 433)(427, 431)(428,
429)(430, 432)(434, 438)(435, 440)(436, 439)(437, 441)(442, 443)(444, 446)(445,
447)(448, 449)(452, 453)(454, 459)(455, 460)(456, 461)(457, 458)(465, 468)(466,
467)(469, 472)(470, 471)(473, 476)(474, 475)(477, 480)(478, 479)(481, 483)(482,
484)(485, 491)(486, 492)(487, 489)(488, 490)(493, 496)(494, 495)(497, 498)(499,
500)(501, 504)(502, 503)(505, 508)(506, 507)(509, 511)(510, 512)
d: (2, 4)(6, 7)(8, 9)(10, 11)(13, 14)(18, 20)(19, 25)(21, 23)(22, 24)(26,
30)(27, 28)(29, 32)(31, 33)(34, 36)(35, 37)(38, 40)(39, 41)(42, 43)(44, 45)(46,
47)(48, 49)(50, 57)(51, 56)(52, 54)(53, 55)(58, 62)(59, 61)(60, 63)(64, 65)(66,
71)(67, 69)(68, 73)(70, 72)(74, 77)(75, 80)(76, 81)(78, 79)(82, 84)(83, 87)(85,
88)(86, 89)(91, 93)(96, 97)(98, 100)(99, 102)(101, 103)(104, 105)(106, 107)(108,
111)(109, 110)(112, 113)(114, 118)(115, 120)(116, 119)(117, 121)(122, 124)(123,
129)(125, 126)(127, 128)(130, 133)(136, 137)(138, 141)(142, 144)(146, 150)(147,
152)(148, 151)(149, 153)(154, 155)(156, 160)(157, 158)(159, 161)(162, 166)(163,
169)(164, 168)(165, 167)(170, 174)(171, 177)(172, 176)(173, 175)(178, 184)(179,
185)(180, 182)(181, 183)(186, 187)(188, 193)(189, 192)(190, 191)(194, 197)(195,
196)(198, 201)(199, 200)(202, 205)(203, 209)(204, 208)(206, 207)(210, 214)(211,
217)(212, 216)(213, 215)(218, 219)(220, 221)(222, 223)(224, 225)(226, 232)(227,
233)(228, 231)(229, 230)(234, 238)(235, 240)(236, 239)(237, 241)(242, 249)(243,
247)(244, 246)(245, 248)(250, 253)(251, 252)(254, 255)(256, 257)(258, 265)(259,
263)(260, 262)(261, 264)(266, 270)(267, 269)(268, 272)(271, 273)(274, 278)(275,
279)(276, 280)(277, 281)(282, 289)(283, 288)(284, 287)(285, 286)(290, 293)(291,
294)(292, 295)(296, 297)(298, 303)(299, 304)(300, 301)(302, 305)(306, 313)(307,
309)(308, 312)(310, 311)(314, 317)(315, 321)(316, 320)(318, 319)(322, 323)(326,
328)(331, 333)(334, 336)(338, 339)(340, 342)(341, 345)(343, 344)(346, 350)(347,
353)(348, 352)(349, 351)(354, 358)(355, 361)(356, 359)(357, 360)(362, 364)(363,
365)(366, 369)(367, 368)(370, 376)(371, 375)(372, 374)(373, 377)(378, 382)(379,
384)(380, 381)(383, 385)(386, 393)(387, 391)(388, 392)(389, 390)(394, 399)(395,
398)(396, 400)(397, 401)(402, 407)(403, 406)(404, 408)(405, 409)(410, 415)(411,
414)(412, 416)(413, 417)(418, 424)(419, 423)(420, 425)(421, 422)(426, 429)(427,
428)(430, 433)(431, 432)(434, 437)(435, 441)(436, 440)(438, 439)(442, 449)(443,
447)(444, 445)(446, 448)(450, 452)(451, 453)(454, 456)(455, 457)(458, 461)(459,
460)(462, 463)(465, 466)(469, 476)(470, 473)(471, 475)(472, 474)(477, 483)(478,
481)(479, 484)(480, 482)(485, 488)(486, 487)(489, 490)(491, 492)(493, 498)(494,
497)(495, 500)(496, 499)(501, 507)(502, 506)(503, 505)(504, 508)(509, 510)
e: (1, 6, 464, 7)(2, 343, 465, 339)(3, 340, 467, 342)(4, 338, 466, 344)(5, 345,
468, 341)(8, 46, 11, 48)(9, 49, 10, 47)(12, 510, 15, 509)(13, 512, 14, 511)(16,
463, 17, 462)(18, 74, 28, 87)(19, 86, 32, 78)(20, 83, 27, 77)(21, 85, 26,
80)(22, 76, 31, 82)(23, 75, 30, 88)(24, 84, 33, 81)(25, 79, 29, 89)(34, 35, 38,
39)(36, 41, 40, 37)(42, 170, 223, 172)(43, 176, 222, 174)(44, 175, 224, 171)(45,
177, 225, 173)(50, 359, 256, 235)(51, 238, 255, 354)(52, 360, 252, 236)(53, 241,
253, 355)(54, 239, 251, 357)(55, 361, 250, 237)(56, 358, 254, 234)(57, 240, 257,
356)(58, 67, 262, 244)(59, 248, 258, 73)(60, 247, 261, 71)(61, 68, 265, 245)(62,
246, 260, 69)(63, 66, 264, 243)(64, 70, 263, 242)(65, 249, 259, 72)(90, 487, 94,
486)(91, 490, 97, 491)(92, 485, 95, 488)(93, 492, 96, 489)(98, 421, 107,
382)(99, 383, 110, 423)(100, 378, 106, 422)(101, 424, 111, 379)(102, 419, 109,
385)(103, 384, 108, 418)(104, 380, 113, 420)(105, 425, 112, 381)(114, 162, 202,
154)(115, 167, 204, 157)(116, 168, 207, 159)(117, 169, 203, 160)(118, 155, 205,
166)(119, 161, 206, 164)(120, 158, 208, 165)(121, 156, 209, 163)(122, 150, 210,
186)(123, 153, 211, 193)(124, 187, 214, 146)(125, 191, 216, 148)(126, 151, 212,
190)(127, 189, 215, 147)(128, 152, 213, 192)(129, 188, 217, 149)(130, 432, 142,
426)(131, 427, 143, 428)(132, 433, 145, 430)(133, 429, 144, 431)(134, 438, 140,
439)(135, 435, 139, 441)(136, 437, 141, 440)(137, 436, 138, 434)(178, 442, 403,
200)(179, 448, 408, 194)(180, 447, 407, 201)(181, 444, 405, 196)(182, 198, 402,
443)(183, 195, 409, 445)(184, 199, 406, 449)(185, 197, 404, 446)(218, 417, 453,
416)(219, 412, 451, 413)(220, 414, 452, 415)(221, 410, 450, 411)(226, 318, 484,
498)(227, 497, 481, 317)(228, 316, 483, 500)(229, 499, 482, 321)(230, 315, 480,
496)(231, 495, 477, 320)(232, 493, 479, 319)(233, 314, 478, 494)(266, 274, 312,
286)(267, 275, 309, 288)(268, 277, 313, 289)(269, 283, 307, 279)(270, 285, 308,
278)(271, 284, 311, 280)(272, 282, 306, 281)(273, 276, 310, 287)(290, 301, 362,
349)(291, 350, 368, 304)(292, 303, 365, 347)(293, 351, 364, 300)(294, 299, 367,
346)(295, 353, 363, 298)(296, 302, 369, 348)(297, 352, 366, 305)(322, 476, 334,
471)(323, 475, 336, 469)(324, 470, 335, 473)(325, 472, 337, 474)(326, 377, 333,
370)(327, 375, 330, 371)(328, 376, 331, 373)(329, 374, 332, 372)(386, 502, 395,
461)(387, 455, 396, 501)(388, 504, 397, 460)(389, 456, 394, 503)(390, 505, 399,
454)(391, 507, 400, 457)(392, 459, 401, 508)(393, 458, 398, 506)
f: (1, 8)(2, 18)(3, 21)(4, 31)(5, 32)(6, 47)(7, 49)(9, 16)(10, 17)(11, 464)(12,
37)(13, 40)(14, 36)(15, 41)(19, 468)(20, 97)(22, 466)(23, 90)(24, 93)(25,
95)(26, 467)(27, 91)(28, 465)(29, 92)(30, 94)(33, 96)(34, 510)(35, 511)(38,
509)(39, 512)(42, 453)(43, 173)(44, 170)(45, 220)(46, 462)(48, 463)(50, 321)(51,
500)(52, 497)(53, 318)(54, 362)(55, 363)(56, 291)(57, 296)(58, 493)(59, 494)(60,
367)(61, 364)(62, 292)(63, 320)(64, 297)(65, 315)(66, 350)(67, 298)(68, 227)(69,
226)(70, 482)(71, 483)(72, 302)(73, 349)(74, 492)(75, 342)(76, 491)(77, 338)(78,
488)(79, 345)(80, 487)(81, 339)(82, 490)(83, 344)(84, 343)(85, 486)(86, 485)(87,
489)(88, 340)(89, 341)(98, 193)(99, 146)(100, 169)(101, 151)(102, 165)(103,
159)(104, 189)(105, 155)(106, 160)(107, 153)(108, 168)(109, 158)(110, 187)(111,
190)(112, 166)(113, 147)(114, 420)(115, 383)(116, 388)(117, 395)(118, 394)(119,
424)(120, 387)(121, 382)(122, 419)(123, 398)(124, 400)(125, 418)(126, 392)(127,
390)(128, 381)(129, 378)(131, 143)(133, 144)(134, 441)(135, 438)(136, 440)(137,
436)(138, 434)(139, 439)(140, 435)(141, 437)(148, 504)(149, 461)(150, 455)(152,
503)(154, 454)(156, 458)(157, 507)(161, 508)(162, 505)(163, 506)(164, 459)(167,
457)(171, 410)(172, 224)(174, 413)(175, 411)(176, 412)(177, 222)(178, 403)(179,
442)(180, 196)(182, 402)(183, 198)(184, 446)(186, 501)(188, 502)(191, 460)(192,
456)(194, 448)(195, 445)(197, 406)(200, 408)(202, 380)(203, 386)(204, 423)(205,
389)(206, 379)(207, 397)(208, 396)(209, 421)(210, 385)(211, 393)(212, 401)(213,
425)(214, 391)(215, 399)(216, 384)(217, 422)(218, 223)(219, 415)(221, 417)(225,
452)(228, 247)(229, 242)(230, 240)(231, 358)(232, 237)(233, 357)(234, 477)(235,
352)(236, 300)(238, 346)(239, 478)(241, 303)(243, 304)(244, 353)(245, 481)(246,
484)(248, 301)(249, 348)(250, 295)(251, 290)(252, 317)(253, 498)(254, 368)(255,
316)(256, 499)(257, 369)(258, 314)(259, 496)(260, 365)(261, 294)(262, 319)(263,
366)(264, 495)(265, 293)(266, 333)(267, 324)(268, 328)(269, 327)(270, 322)(271,
332)(272, 336)(273, 337)(274, 469)(275, 371)(276, 374)(277, 476)(278, 373)(279,
470)(280, 474)(281, 377)(282, 370)(283, 473)(284, 472)(285, 376)(286, 475)(287,
372)(288, 375)(289, 471)(299, 354)(305, 359)(306, 323)(307, 330)(308, 334)(309,
335)(310, 325)(311, 329)(312, 326)(313, 331)(347, 355)(351, 360)(356, 480)(361,
479)(407, 444)(409, 443)(414, 451)(416, 450)(429, 431)(430, 433)
g: (1, 42, 134, 222)(2, 363, 288, 249)(3, 71, 332, 243)(4, 70, 283, 292)(5, 362,
325, 293)(6, 174, 438, 170)(7, 176, 439, 172)(8, 171, 437, 450)(9, 220, 434,
173)(10, 452, 436, 177)(11, 175, 440, 221)(12, 181, 131, 409)(13, 185, 430,
179)(14, 404, 433, 408)(15, 405, 143, 183)(16, 412, 139, 417)(17, 413, 135,
416)(18, 58, 308, 51)(19, 59, 376, 232)(20, 254, 312, 260)(21, 299, 476, 50)(22,
305, 313, 233)(23, 257, 469, 350)(24, 481, 306, 348)(25, 484, 370, 265)(26, 346,
471, 256)(27, 56, 266, 62)(28, 262, 270, 255)(29, 226, 377, 61)(30, 57, 475,
304)(31, 352, 268, 478)(32, 258, 373, 479)(33, 227, 272, 302)(34, 182, 133,
200)(35, 178, 429, 198)(36, 449, 130, 407)(37, 447, 426, 406)(38, 402, 144,
442)(39, 403, 431, 443)(40, 199, 142, 180)(41, 201, 432, 184)(43, 464, 223,
140)(44, 46, 411, 141)(45, 137, 414, 49)(47, 225, 138, 415)(48, 410, 136,
224)(52, 489, 483, 310)(53, 485, 55, 473)(54, 271, 477, 491)(60, 340, 63,
372)(64, 344, 347, 269)(65, 309, 353, 339)(66, 467, 247, 329)(67, 74, 238,
278)(68, 333, 318, 89)(69, 286, 234, 83)(72, 465, 295, 275)(73, 78, 319,
328)(75, 368, 323, 356)(76, 314, 289, 297)(77, 246, 274, 358)(79, 245, 326,
498)(80, 235, 322, 294)(81, 369, 282, 497)(82, 494, 277, 366)(84, 296, 281,
317)(85, 359, 334, 367)(86, 493, 331, 248)(87, 354, 285, 244)(88, 291, 336,
240)(90, 315, 327, 499)(91, 320, 284, 239)(92, 355, 335, 237)(93, 360, 287,
500)(94, 496, 330, 321)(95, 241, 324, 361)(96, 236, 276, 316)(97, 495, 280,
357)(98, 460, 422, 401)(99, 456, 164, 188)(100, 388, 421, 508)(101, 115, 395,
192)(102, 153, 168, 505)(103, 147, 398, 208)(104, 121, 151, 400)(105, 387, 148,
203)(106, 397, 382, 459)(107, 504, 378, 392)(108, 189, 393, 120)(109, 193, 159,
454)(110, 503, 161, 149)(111, 204, 386, 152)(112, 396, 191, 117)(113, 209, 190,
391)(114, 146, 166, 210)(116, 123, 385, 390)(118, 124, 162, 186)(119, 394, 383,
217)(122, 202, 187, 155)(125, 455, 425, 160)(126, 163, 420, 507)(127, 384, 165,
506)(128, 461, 167, 424)(129, 206, 389, 423)(132, 197, 512, 448)(145, 446, 511,
194)(150, 205, 214, 154)(156, 380, 457, 212)(157, 379, 213, 502)(158, 458, 215,
418)(169, 216, 501, 381)(195, 428, 196, 509)(207, 211, 419, 399)(218, 435, 219,
462)(228, 273, 252, 492)(229, 371, 230, 486)(231, 490, 251, 311)(242, 279, 365,
466)(250, 470, 253, 488)(259, 267, 298, 343)(261, 342, 264, 374)(263, 338, 303,
307)(290, 337, 364, 468)(300, 474, 301, 341)(345, 351, 472, 349)(375, 480, 487,
482)(427, 444, 510, 445)(441, 451, 463, 453)
C4[ 512, 603 ]
512
-1 2 3 4 5
-2 1 510 501 505
-3 506 1 511 502
-4 1 507 509 503
-5 1 508 512 504
-6 343 345 338 340
-7 341 342 344 339
-8 18 31 21 32
-9 33 23 29 20
-10 24 25 27 30
-11 22 26 28 19
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-14 342 345 93 97
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-17 91 93 94 95
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-19 11 35 191 164
-20 187 166 36 9
-21 188 35 8 163
-22 11 34 167 192
-23 37 169 193 9
-24 165 189 36 10
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-28 11 154 38 150
-29 159 41 151 9
-30 160 41 10 153
-31 157 38 8 152
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-33 147 158 40 9
-34 22 78 80 18
-35 19 74 21 76
-36 24 79 20 75
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-39 26 82 32 87
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-399 343 498 336 228
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