Graph forms
for C4 [ 512, 66 ] = UG(ATD[512,41])
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On this page are computer-accessible forms for the graph C4[ 512, 66 ] =
UG(ATD[512,41]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {328, 329}, {1, 9}, {308, 316}, {294, 302}, {144, 152}, {115,
123}, {352, 362}, {117, 126}, {309, 318}, {199, 202}, {321, 335}, {101, 106},
{292, 299}, {1, 17}, {399, 415}, {288, 304}, {387, 402}, {194, 208}, {461, 479},
{389, 407}, {331, 344}, {452, 471}, {393, 410}, {100, 112}, {453, 465}, {200,
220}, {460, 473}, {7, 16}, {1, 25}, {271, 279}, {237, 245}, {256, 280}, {260,
284}, {138, 145}, {265, 274}, {261, 286}, {47, 51}, {333, 337}, {32, 61}, {8,
23}, {42, 53}, {193, 222}, {236, 243}, {17, 49}, {219, 251}, {330, 363}, {335,
365}, {346, 376}, {221, 254}, {452, 487}, {454, 482}, {26, 60}, {7, 32}, {150,
177}, {15, 40}, {8, 47}, {1, 41}, {475, 499}, {150, 190}, {9, 33}, {203, 227},
{205, 230}, {478, 501}, {148, 184}, {351, 370}, {24, 55}, {277, 314}, {148,
187}, {9, 57}, {207, 252}, {394, 441}, {281, 298}, {95, 107}, {406, 418}, {268,
312}, {151, 163}, {201, 253}, {346, 367}, {474, 495}, {479, 489}, {90, 109},
{145, 166}, {449, 505}, {78, 116}, {31, 36}, {448, 507}, {403, 424}, {25, 37},
{351, 355}, {223, 227}, {64, 125}, {75, 118}, {217, 230}, {346, 357}, {270,
305}, {294, 358}, {429, 493}, {188, 253}, {270, 332}, {278, 340}, {312, 379},
{19, 87}, {442, 510}, {434, 502}, {396, 456}, {179, 247}, {267, 334}, {275,
342}, {58, 124}, {189, 251}, {16, 87}, {439, 496}, {427, 492}, {292, 355}, {24,
95}, {21, 82}, {181, 242}, {17, 89}, {434, 506}, {421, 493}, {142, 198}, {41,
97}, {176, 248}, {161, 232}, {430, 487}, {402, 475}, {168, 226}, {427, 481},
{414, 468}, {407, 477}, {191, 245}, {12, 71}, {440, 499}, {13, 65}, {391, 459},
{306, 382}, {150, 218}, {183, 251}, {185, 244}, {411, 470}, {259, 334}, {25,
87}, {261, 331}, {15, 64}, {420, 491}, {398, 449}, {385, 462}, {140, 195}, {178,
253}, {17, 65}, {434, 482}, {400, 448}, {295, 375}, {180, 228}, {181, 230},
{296, 379}, {289, 370}, {276, 320}, {427, 511}, {279, 323}, {29, 72}, {418,
503}, {167, 241}, {423, 497}, {48, 103}, {430, 505}, {274, 325}, {56, 111}, {9,
81}, {446, 486}, {433, 489}, {49, 105}, {33, 121}, {161, 248}, {427, 498}, {163,
250}, {186, 227}, {150, 204}, {429, 503}, {191, 229}, {169, 242}, {289, 381},
{147, 206}, {263, 346}, {28, 66}, {23, 72}, {444, 483}, {439, 488}, {409, 505},
{41, 72}, {138, 232}, {258, 352}, {280, 379}, {308, 343}, {167, 195}, {309,
337}, {16, 117}, {128, 229}, {392, 494}, {31, 120}, {162, 197}, {25, 113}, {446,
470}, {284, 372}, {33, 73}, {285, 374}, {274, 382}, {421, 457}, {48, 93}, {385,
492}, {47, 65}, {318, 336}, {443, 468}, {285, 365}, {32, 81}, {390, 503}, {315,
330}, {144, 225}, {142, 255}, {41, 91}, {387, 497}, {300, 350}, {63, 76}, {419,
464}, {147, 224}, {23, 99}, {57, 77}, {45, 88}, {413, 488}, {311, 322}, {302,
347}, {132, 242}, {140, 250}, {18, 101}, {283, 364}, {39, 80}, {181, 194}, {191,
199}, {286, 359}, {43, 81}, {411, 481}, {306, 328}, {283, 353}, {186, 193},
{180, 200}, {133, 248}, {10, 116}, {266, 394}, {366, 494}, {347, 475}, {342,
471}, {359, 486}, {124, 254}, {371, 497}, {368, 498}, {312, 442}, {4, 135},
{380, 511}, {349, 478}, {5, 129}, {382, 506}, {55, 179}, {126, 251}, {360, 493},
{340, 466}, {354, 484}, {50, 181}, {363, 492}, {296, 431}, {295, 416}, {82,
213}, {77, 197}, {290, 426}, {273, 409}, {97, 233}, {326, 463}, {323, 457}, {88,
212}, {374, 506}, {105, 229}, {306, 447}, {373, 504}, {354, 492}, {53, 186},
{320, 463}, {75, 196}, {49, 161}, {326, 470}, {110, 254}, {65, 209}, {257, 401},
{290, 435}, {371, 482}, {361, 504}, {320, 465}, {112, 227}, {56, 172}, {331,
479}, {354, 503}, {360, 509}, {103, 240}, {334, 473}, {324, 467}, {311, 416},
{271, 408}, {111, 248}, {107, 252}, {105, 241}, {371, 491}, {342, 462}, {266,
402}, {283, 386}, {291, 442}, {285, 391}, {360, 498}, {353, 507}, {373, 494},
{3, 159}, {383, 482}, {122, 228}, {377, 487}, {374, 488}, {296, 438}, {5, 154},
{339, 460}, {272, 399}, {263, 408}, {71, 216}, {56, 167}, {50, 173}, {119, 214},
{364, 463}, {366, 458}, {120, 221}, {57, 159}, {114, 212}, {39, 128}, {287,
440}, {280, 447}, {79, 232}, {73, 225}, {305, 409}, {282, 434}, {274, 442},
{105, 193}, {378, 467}, {383, 469}, {91, 240}, {7, 171}, {319, 403}, {70, 234},
{37, 137}, {114, 220}, {2, 173}, {314, 405}, {49, 129}, {286, 430}, {60, 142},
{35, 144}, {123, 200}, {67, 240}, {77, 249}, {319, 395}, {93, 233}, {62, 139},
{40, 159}, {313, 398}, {283, 428}, {279, 416}, {112, 199}, {33, 153}, {290,
410}, {286, 422}, {84, 236}, {118, 207}, {85, 238}, {125, 193}, {116, 202}, {55,
136}, {284, 419}, {303, 495}, {339, 402}, {35, 224}, {297, 490}, {271, 460},
{266, 462}, {96, 165}, {304, 501}, {68, 130}, {272, 470}, {101, 162}, {102,
174}, {261, 460}, {298, 483}, {83, 153}, {352, 426}, {303, 485}, {256, 458},
{324, 399}, {332, 391}, {96, 172}, {333, 385}, {326, 394}, {304, 508}, {100,
168}, {69, 136}, {259, 461}, {342, 408}, {100, 171}, {102, 182}, {325, 405},
{85, 132}, {89, 136}, {84, 134}, {116, 160}, {275, 455}, {2, 212}, {79, 152},
{324, 403}, {297, 510}, {277, 450}, {104, 191}, {99, 180}, {96, 183}, {73, 145},
{97, 185}, {45, 244}, {341, 396}, {266, 467}, {68, 157}, {64, 153}, {44, 246},
{70, 156}, {351, 388}, {51, 239}, {345, 389}, {8, 213}, {95, 129}, {339, 397},
{298, 500}, {53, 234}, {59, 219}, {92, 189}, {314, 472}, {20, 247}, {61, 222},
{21, 241}, {99, 135}, {40, 205}, {295, 450}, {93, 187}, {294, 448}, {101, 130},
{59, 211}, {89, 177}, {259, 491}, {345, 432}, {290, 456}, {350, 436}, {62, 213},
{262, 493}, {127, 148}, {3, 239}, {380, 400}, {121, 149}, {71, 171}, {329, 420},
{347, 438}, {34, 204}, {6, 233}, {117, 154}, {66, 173}, {63, 208}, {57, 201},
{313, 457}, {264, 504}, {345, 424}, {38, 212}, {257, 498}, {52, 192}, {35, 214},
{308, 449}, {85, 160}, {336, 422}, {88, 175}, {381, 394}, {90, 173}, {81, 169},
{109, 149}, {288, 473}, {89, 163}, {282, 480}, {119, 140}, {367, 404}, {37,
217}, {361, 405}, {113, 141}, {310, 456}, {351, 417}, {108, 147}, {54, 310},
{151, 407}, {176, 432}, {192, 450}, {11, 264}, {146, 401}, {131, 384}, {170,
425}, {176, 436}, {184, 444}, {80, 341}, {88, 349}, {188, 441}, {223, 474}, {42,
301}, {51, 308}, {78, 326}, {152, 400}, {137, 386}, {244, 511}, {13, 257}, {76,
320}, {211, 479}, {246, 506}, {82, 348}, {76, 323}, {178, 445}, {197, 458},
{213, 474}, {54, 294}, {174, 446}, {203, 475}, {241, 481}, {72, 345}, {198,
471}, {206, 477}, {107, 383}, {123, 367}, {196, 464}, {196, 466}, {52, 291},
{126, 361}, {109, 378}, {171, 444}, {132, 412}, {156, 388}, {144, 392}, {164,
445}, {28, 262}, {166, 444}, {4, 287}, {158, 389}, {146, 393}, {133, 414}, {6,
282}, {60, 288}, {48, 300}, {30, 259}, {74, 340}, {170, 437}, {247, 488}, {53,
277}, {242, 466}, {66, 352}, {163, 384}, {235, 456}, {7, 291}, {108, 328}, {78,
362}, {15, 299}, {184, 412}, {187, 415}, {2, 293}, {127, 344}, {119, 336}, {61,
282}, {52, 275}, {10, 301}, {189, 410}, {115, 347}, {140, 420}, {132, 428},
{121, 337}, {226, 459}, {249, 464}, {231, 461}, {118, 349}, {141, 422}, {134,
429}, {255, 468}, {176, 412}, {238, 450}, {249, 469}, {154, 439}, {159, 433},
{109, 322}, {175, 384}, {178, 413}, {247, 472}, {158, 430}, {225, 465}, {106,
344}, {131, 433}, {24, 300}, {156, 424}, {31, 299}, {26, 301}, {155, 428}, {169,
414}, {183, 384}, {113, 329}, {164, 412}, {123, 322}, {130, 443}, {125, 327},
{135, 445}, {218, 480}, {36, 287}, {75, 368}, {166, 413}, {37, 281}, {111, 338},
{133, 440}, {18, 301}, {158, 417}, {231, 472}, {80, 272}, {124, 316}, {236,
428}, {74, 265}, {126, 317}, {238, 429}, {134, 451}, {131, 453}, {154, 476},
{146, 468}, {98, 293}, {197, 397}, {73, 258}, {75, 256}, {235, 416}, {91, 279},
{104, 292}, {152, 469}, {206, 387}, {203, 389}, {42, 357}, {94, 273}, {86, 281},
{195, 396}, {44, 380}, {198, 406}, {239, 447}, {217, 392}, {43, 376}, {45, 382},
{234, 441}, {235, 440}, {48, 356}, {111, 315}, {103, 307}, {8, 349}, {143, 474},
{210, 391}, {98, 309}, {106, 317}, {195, 404}, {68, 284}, {80, 264}, {216, 386},
{70, 285}, {45, 369}, {151, 459}, {237, 433}, {2, 348}, {146, 461}, {110, 270},
{214, 438}, {63, 350}, {162, 451}, {120, 281}, {66, 291}, {71, 293}, {224, 386},
{27, 376}, {232, 395}, {13, 361}, {19, 375}, {58, 348}, {21, 370}, {107, 268},
{211, 436}, {36, 333}, {94, 311}, {14, 356}, {138, 480}, {91, 305}, {38, 332},
{255, 404}, {19, 383}, {30, 370}, {175, 451}, {226, 398}, {250, 406}, {11, 358},
{113, 287}, {168, 454}, {201, 423}, {22, 377}, {170, 453}, {255, 400}, {27,
363}, {180, 452}, {231, 407}, {249, 393}, {62, 335}, {121, 264}, {208, 417},
{215, 422}, {216, 425}, {209, 419}, {29, 366}, {182, 453}, {226, 401}, {84,
288}, {122, 270}, {238, 410}, {82, 295}, {18, 356}, {87, 289}, {60, 330}, {78,
313}, {97, 278}, {27, 355}, {221, 421}, {243, 395}, {39, 350}, {92, 293}, {94,
292}, {11, 368}, {30, 357}, {246, 397}, {11, 375}, {104, 276}, {24, 357}, {160,
477}, {186, 455}, {34, 348}, {190, 448}, {209, 431}, {14, 369}, {220, 419},
{137, 265}, {145, 273}, {174, 302}, {100, 486}, {128, 258}, {114, 496}, {96,
484}, {185, 317}, {102, 483}, {118, 499}, {115, 501}, {46, 425}, {172, 299},
{21, 413}, {182, 318}, {143, 262}, {12, 390}, {128, 267}, {202, 321}, {95, 467},
{14, 387}, {194, 335}, {218, 343}, {239, 354}, {138, 260}, {199, 329}, {233,
359}, {20, 411}, {160, 303}, {151, 280}, {90, 469}, {179, 316}, {237, 381}, {79,
478}, {27, 392}, {104, 508}, {42, 447}, {47, 441}, {74, 476}, {168, 319}, {236,
379}, {161, 313}, {192, 344}, {208, 328}, {237, 373}, {44, 437}, {155, 258},
{206, 343}, {46, 436}, {157, 263}, {220, 327}, {29, 385}, {44, 432}, {222, 322},
{119, 490}, {204, 338}, {98, 509}, {143, 272}, {235, 372}, {22, 438}, {92, 508},
{84, 500}, {67, 483}, {127, 478}, {12, 431}, {94, 509}, {86, 501}, {70, 485},
{13, 425}, {147, 311}, {207, 362}, {210, 375}, {122, 476}, {166, 256}, {215,
369}, {20, 435}, {149, 306}, {67, 491}, {120, 464}, {26, 435}, {229, 332}, {31,
437}, {228, 334}, {12, 423}, {164, 271}, {130, 297}, {69, 494}, {14, 418}, {165,
265}, {106, 454}, {83, 511}, {58, 406}, {28, 432}, {23, 443}, {253, 336}, {18,
445}, {86, 505}, {40, 408}, {153, 297}, {189, 269}, {222, 366}, {102, 471},
{215, 358}, {99, 465}, {224, 338}, {34, 401}, {112, 451}, {43, 415}, {139, 319},
{83, 487}, {69, 497}, {216, 365}, {210, 356}, {252, 330}, {29, 426}, {141, 314},
{86, 481}, {46, 409}, {188, 267}, {219, 364}, {28, 420}, {136, 304}, {68, 508},
{54, 398}, {202, 368}, {20, 431}, {114, 457}, {69, 510}, {67, 504}, {30, 421},
{15, 435}, {83, 495}, {22, 426}, {183, 267}, {210, 364}, {10, 437}, {90, 485},
{85, 490}, {51, 396}, {178, 269}, {188, 380}, {234, 298}, {205, 268}, {190,
381}, {246, 307}, {203, 269}, {243, 309}, {254, 312}, {54, 510}, {177, 377},
{79, 390}, {141, 324}, {172, 358}, {63, 500}, {204, 263}, {38, 490}, {58, 502},
{205, 257}, {16, 477}, {174, 355}, {252, 305}, {74, 388}, {139, 325}, {52, 507},
{22, 454}, {110, 446}, {170, 378}, {198, 278}, {39, 502}, {228, 310}, {243,
289}, {35, 496}, {92, 399}, {64, 403}, {215, 260}, {223, 268}, {59, 495}, {124,
424}, {93, 393}, {209, 261}, {217, 269}, {230, 307}, {10, 476}, {50, 484}, {34,
500}, {19, 452}, {108, 443}, {62, 489}, {175, 376}, {196, 275}, {169, 369},
{148, 333}, {143, 340}, {223, 260}, {137, 341}, {165, 377}, {218, 262}, {56,
485}, {245, 296}, {149, 331}, {125, 418}, {240, 303}, {129, 353}, {139, 363},
{221, 317}, {244, 276}, {117, 404}, {164, 325}, {182, 343}, {6, 484}, {179,
337}, {142, 365}, {245, 278}, {3, 486}, {55, 466}, {115, 405}, {165, 323}, {219,
316}, {38, 462}, {156, 372}, {46, 455}, {43, 449}, {50, 472}, {76, 423}, {157,
374}, {185, 338}, {250, 273}, {5, 489}, {103, 395}, {77, 417}, {36, 459}, {135,
360}, {98, 397}, {110, 414}, {133, 373}, {177, 321}, {59, 458}, {207, 318}, {4,
502}, {61, 463}, {201, 315}, {3, 496}, {231, 276}, {155, 367}, {167, 339}, {194,
310}, {225, 277}, {6, 499}, {108, 411}, {162, 341}, {157, 362}, {131, 372}, {5,
509}, {32, 473}, {190, 327}, {26, 480}, {187, 321}, {214, 300}, {127, 388},
{192, 315}, {200, 307}, {122, 390}, {155, 359}, {134, 378}, {211, 302}, {4,
507}, {158, 353}, {184, 327}, {371, 512}, {415, 512}, {439, 512}, {455, 512}
}>;
(II) A more general form is to represent the graph as the orbit of {328, 329}
under the group generated by the following permutations:
a: (1, 9, 33, 73, 145, 273, 409, 505, 430, 286, 422, 336, 318, 182, 102, 174,
302, 347, 475, 402, 266, 394, 381, 237, 373, 494, 366, 222, 193, 105, 49, 17)(2,
10, 34, 74, 146, 274, 410, 506, 429, 285, 421, 335, 317, 181, 101, 173, 301,
348, 476, 401, 265, 393, 382, 238, 374, 493, 365, 221, 194, 106, 50, 18)(3, 11,
35, 75, 147, 275, 411, 507, 431, 287, 423, 333, 320, 184, 104, 176, 304, 345,
473, 403, 267, 395, 384, 240, 376, 495, 367, 223, 195, 107, 51, 19)(4, 12, 36,
76, 148, 276, 412, 508, 432, 288, 424, 334, 319, 183, 103, 175, 303, 346, 474,
404, 268, 396, 383, 239, 375, 496, 368, 224, 196, 108, 52, 20)(5, 13, 37, 77,
149, 277, 413, 509, 425, 281, 417, 331, 314, 178, 98, 170, 298, 351, 479, 405,
269, 397, 378, 234, 370, 489, 361, 217, 197, 109, 53, 21)(6, 14, 38, 78, 150,
278, 414, 510, 426, 282, 418, 332, 313, 177, 97, 169, 297, 352, 480, 406, 270,
398, 377, 233, 369, 490, 362, 218, 198, 110, 54, 22)(7, 15, 39, 79, 151, 279,
415, 511, 428, 284, 420, 330, 316, 180, 100, 172, 300, 349, 477, 408, 272, 400,
379, 235, 371, 492, 364, 220, 199, 111, 55, 23)(8, 16, 40, 80, 152, 280, 416,
512, 427, 283, 419, 329, 315, 179, 99, 171, 299, 350, 478, 407, 271, 399, 380,
236, 372, 491, 363, 219, 200, 112, 56, 24)(25, 57, 121, 225, 166, 94, 46, 86,
158, 261, 141, 253, 309, 453, 483, 355, 211, 115, 203, 339, 467, 441, 289, 433,
504, 392, 458, 322, 186, 241, 129, 65)(26, 58, 122, 226, 165, 93, 45, 85, 157,
262, 142, 254, 310, 454, 484, 356, 212, 116, 204, 340, 468, 442, 290, 434, 503,
391, 457, 321, 185, 242, 130, 66)(27, 59, 123, 227, 167, 95, 47, 87, 159, 264,
144, 256, 311, 455, 481, 353, 209, 113, 201, 337, 465, 444, 292, 436, 501, 389,
460, 324, 188, 243, 131, 67)(28, 60, 124, 228, 168, 96, 48, 88, 160, 263, 143,
255, 312, 456, 482, 354, 210, 114, 202, 338, 466, 443, 291, 435, 502, 390, 459,
323, 187, 244, 132, 68)(29, 61, 125, 229, 161, 89, 41, 81, 153, 258, 138, 250,
305, 449, 487, 359, 215, 119, 207, 343, 471, 446, 294, 438, 499, 387, 462, 326,
190, 245, 133, 69)(30, 62, 126, 230, 162, 90, 42, 82, 154, 257, 137, 249, 306,
450, 488, 360, 216, 120, 208, 344, 472, 445, 293, 437, 500, 388, 461, 325, 189,
246, 134, 70)(31, 63, 127, 231, 164, 92, 44, 84, 156, 259, 139, 251, 307, 451,
485, 357, 213, 117, 205, 341, 469, 447, 295, 439, 498, 386, 464, 328, 192, 247,
135, 71)(32, 64, 128, 232, 163, 91, 43, 83, 155, 260, 140, 252, 308, 452, 486,
358, 214, 118, 206, 342, 470, 448, 296, 440, 497, 385, 463, 327, 191, 248, 136,
72) (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: (3, 4)(5, 6)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16,
32)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(33, 37)(34,
38)(35, 39)(36, 40)(49, 97)(50, 98)(51, 99)(52, 100)(53, 101)(54, 102)(55,
103)(56, 104)(57, 113)(58, 114)(59, 115)(60, 116)(61, 117)(62, 118)(63, 119)(64,
120)(65, 72)(66, 71)(67, 69)(68, 70)(73, 137)(74, 138)(75, 139)(76, 140)(77,
141)(78, 142)(79, 143)(80, 144)(81, 87)(82, 88)(83, 86)(84, 85)(89, 91)(90,
92)(93, 95)(94, 96)(105, 185)(106, 186)(107, 187)(108, 188)(109, 189)(110,
190)(111, 191)(112, 192)(121, 217)(122, 218)(123, 219)(124, 220)(125, 221)(126,
222)(127, 223)(128, 224)(129, 233)(130, 234)(131, 235)(132, 236)(133, 237)(134,
238)(135, 239)(136, 240)(145, 265)(146, 266)(147, 267)(148, 268)(149, 269)(150,
270)(151, 271)(152, 272)(153, 281)(154, 282)(155, 283)(156, 284)(157, 285)(158,
286)(159, 287)(160, 288)(161, 278)(162, 277)(163, 279)(164, 280)(165, 273)(166,
274)(167, 276)(168, 275)(169, 289)(170, 290)(171, 291)(172, 292)(173, 293)(174,
294)(175, 295)(176, 296)(177, 305)(178, 306)(179, 307)(180, 308)(181, 309)(182,
310)(183, 311)(184, 312)(193, 317)(194, 318)(195, 320)(196, 319)(197, 314)(198,
313)(199, 315)(200, 316)(201, 329)(202, 330)(203, 331)(204, 332)(205, 333)(206,
334)(207, 335)(208, 336)(209, 345)(210, 346)(211, 347)(212, 348)(213, 349)(214,
350)(215, 351)(216, 352)(225, 341)(226, 342)(227, 344)(228, 343)(229, 338)(230,
337)(231, 339)(232, 340)(241, 244)(242, 243)(245, 248)(246, 247)(249, 324)(250,
323)(251, 322)(252, 321)(253, 328)(254, 327)(255, 326)(256, 325)(257, 385)(258,
386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(297, 298)(303,
304)(353, 359)(354, 360)(355, 358)(356, 357)(361, 366)(362, 365)(363, 368)(364,
367)(369, 370)(375, 376)(377, 409)(378, 410)(379, 412)(380, 411)(381, 414)(382,
413)(383, 415)(384, 416)(393, 467)(394, 468)(395, 466)(396, 465)(397, 472)(398,
471)(399, 469)(400, 470)(401, 462)(402, 461)(403, 464)(404, 463)(405, 458)(406,
457)(407, 460)(408, 459)(417, 422)(418, 421)(419, 424)(420, 423)(425, 426)(431,
432)(433, 440)(434, 439)(435, 437)(436, 438)(441, 443)(442, 444)(445, 447)(446,
448)(449, 452)(450, 451)(453, 456)(454, 455)(473, 477)(474, 478)(475, 479)(476,
480)(481, 511)(482, 512)(483, 510)(484, 509)(485, 508)(486, 507)(487, 505)(488,
506)(489, 499)(490, 500)(491, 497)(492, 498)(493, 503)(494, 504)(495, 501)(496,
502)
c: (1, 2)(3, 4)(5, 6)(7, 8)(9, 348)(10, 347)(11, 346)(12, 345)(13, 352)(14,
351)(15, 350)(16, 349)(17, 173)(18, 174)(19, 175)(20, 176)(21, 169)(22, 170)(23,
171)(24, 172)(25, 212)(26, 211)(27, 210)(28, 209)(29, 216)(30, 215)(31, 214)(32,
213)(33, 34)(35, 36)(37, 38)(39, 40)(41, 293)(42, 294)(43, 295)(44, 296)(45,
289)(46, 290)(47, 291)(48, 292)(49, 50)(51, 52)(53, 54)(55, 56)(57, 58)(59,
60)(61, 62)(63, 64)(65, 66)(67, 68)(69, 70)(71, 72)(73, 401)(74, 402)(75,
404)(76, 403)(77, 406)(78, 405)(79, 407)(80, 408)(81, 82)(83, 84)(85, 86)(87,
88)(89, 90)(91, 92)(93, 94)(95, 96)(97, 98)(99, 100)(101, 102)(103, 104)(105,
181)(106, 182)(107, 183)(108, 184)(109, 177)(110, 178)(111, 179)(112, 180)(113,
114)(115, 116)(117, 118)(119, 120)(121, 204)(122, 203)(123, 202)(124, 201)(125,
208)(126, 207)(127, 206)(128, 205)(129, 484)(130, 483)(131, 482)(132, 481)(133,
488)(134, 487)(135, 486)(136, 485)(137, 462)(138, 461)(139, 463)(140, 464)(141,
457)(142, 458)(143, 460)(144, 459)(145, 146)(147, 148)(149, 150)(151, 152)(153,
500)(154, 499)(155, 498)(156, 497)(157, 504)(158, 503)(159, 502)(160, 501)(161,
472)(162, 471)(163, 469)(164, 470)(165, 467)(166, 468)(167, 466)(168, 465)(185,
309)(186, 310)(187, 311)(188, 312)(189, 305)(190, 306)(191, 307)(192, 308)(193,
194)(195, 196)(197, 198)(199, 200)(217, 332)(218, 331)(219, 330)(220, 329)(221,
336)(222, 335)(223, 334)(224, 333)(225, 226)(227, 228)(229, 230)(231, 232)(233,
509)(234, 510)(235, 512)(236, 511)(237, 506)(238, 505)(239, 507)(240, 508)(241,
242)(243, 244)(245, 246)(247, 248)(249, 250)(251, 252)(253, 254)(255, 256)(257,
258)(259, 260)(261, 262)(263, 264)(265, 266)(267, 268)(269, 270)(271, 272)(273,
393)(274, 394)(275, 396)(276, 395)(277, 398)(278, 397)(279, 399)(280, 400)(281,
490)(282, 489)(283, 492)(284, 491)(285, 494)(286, 493)(287, 496)(288, 495)(297,
298)(299, 300)(301, 302)(303, 304)(313, 314)(315, 316)(317, 318)(319, 320)(321,
322)(323, 324)(325, 326)(327, 328)(337, 338)(339, 340)(341, 342)(343, 344)(353,
354)(355, 356)(357, 358)(359, 360)(361, 362)(363, 364)(365, 366)(367, 368)(369,
370)(371, 372)(373, 374)(375, 376)(377, 378)(379, 380)(381, 382)(383, 384)(385,
386)(387, 388)(389, 390)(391, 392)(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)(473, 474)(475, 476)(477, 478)(479, 480)
d: (1, 3, 2, 4)(5, 8, 6, 7)(9, 496, 348, 287)(10, 495, 347, 288)(11, 494, 346,
285)(12, 493, 345, 286)(13, 492, 352, 283)(14, 491, 351, 284)(15, 490, 350,
281)(16, 489, 349, 282)(17, 239, 173, 507)(18, 240, 174, 508)(19, 237, 175,
506)(20, 238, 176, 505)(21, 235, 169, 512)(22, 236, 170, 511)(23, 233, 171,
509)(24, 234, 172, 510)(25, 159, 212, 502)(26, 160, 211, 501)(27, 157, 210,
504)(28, 158, 209, 503)(29, 155, 216, 498)(30, 156, 215, 497)(31, 153, 214,
500)(32, 154, 213, 499)(33, 35, 34, 36)(37, 40, 38, 39)(41, 486, 293, 135)(42,
485, 294, 136)(43, 488, 295, 133)(44, 487, 296, 134)(45, 482, 289, 131)(46, 481,
290, 132)(47, 484, 291, 129)(48, 483, 292, 130)(49, 51, 50, 52)(53, 56, 54,
55)(57, 114, 58, 113)(59, 115, 60, 116)(61, 117, 62, 118)(63, 120, 64, 119)(65,
354, 66, 353)(67, 355, 68, 356)(69, 357, 70, 358)(71, 360, 72, 359)(73, 224,
401, 333)(74, 223, 402, 334)(75, 222, 404, 335)(76, 221, 403, 336)(77, 220, 406,
329)(78, 219, 405, 330)(79, 218, 407, 331)(80, 217, 408, 332)(81, 439, 82,
440)(83, 438, 84, 437)(85, 436, 86, 435)(87, 433, 88, 434)(89, 447, 90, 448)(91,
446, 92, 445)(93, 444, 94, 443)(95, 441, 96, 442)(97, 100, 98, 99)(101, 103,
102, 104)(105, 396, 181, 275)(106, 395, 182, 276)(107, 394, 183, 274)(108, 393,
184, 273)(109, 400, 177, 280)(110, 399, 178, 279)(111, 398, 179, 277)(112, 397,
180, 278)(121, 144, 204, 459)(122, 143, 203, 460)(123, 142, 202, 458)(124, 141,
201, 457)(125, 140, 208, 464)(126, 139, 207, 463)(127, 138, 206, 461)(128, 137,
205, 462)(145, 147, 146, 148)(149, 152, 150, 151)(161, 308, 472, 192)(162, 307,
471, 191)(163, 306, 469, 190)(164, 305, 470, 189)(165, 312, 467, 188)(166, 311,
468, 187)(167, 310, 466, 186)(168, 309, 465, 185)(193, 195, 194, 196)(197, 200,
198, 199)(225, 338, 226, 337)(227, 339, 228, 340)(229, 341, 230, 342)(231, 344,
232, 343)(241, 456, 242, 455)(243, 453, 244, 454)(245, 451, 246, 452)(247, 450,
248, 449)(249, 327, 250, 328)(251, 325, 252, 326)(253, 323, 254, 324)(255, 321,
256, 322)(257, 385, 258, 386)(259, 388, 260, 387)(261, 390, 262, 389)(263, 391,
264, 392)(265, 268, 266, 267)(269, 271, 270, 272)(297, 300, 298, 299)(301, 303,
302, 304)(313, 316, 314, 315)(317, 319, 318, 320)(361, 363, 362, 364)(365, 368,
366, 367)(369, 371, 370, 372)(373, 376, 374, 375)(377, 379, 378, 380)(381, 384,
382, 383)(409, 411, 410, 412)(413, 416, 414, 415)(417, 419, 418, 420)(421, 424,
422, 423)(425, 427, 426, 428)(429, 432, 430, 431)(473, 476, 474, 475)(477, 479,
478, 480)
e: (3, 297)(4, 298)(5, 303)(6, 304)(11, 351)(12, 352)(13, 345)(14, 346)(17,
41)(18, 42)(19, 289)(20, 290)(21, 295)(22, 296)(23, 47)(24, 48)(27, 215)(28,
216)(29, 209)(30, 210)(33, 57)(34, 58)(35, 119)(36, 120)(37, 113)(38, 114)(39,
63)(40, 64)(43, 169)(44, 170)(45, 175)(46, 176)(49, 91)(50, 92)(51, 443)(52,
444)(53, 445)(54, 446)(55, 93)(56, 94)(59, 479)(60, 480)(61, 473)(62, 474)(65,
72)(66, 71)(67, 353)(68, 354)(69, 359)(70, 360)(73, 201)(74, 202)(75, 127)(76,
128)(77, 121)(78, 122)(79, 207)(80, 208)(83, 433)(84, 434)(85, 439)(86, 440)(89,
97)(90, 98)(95, 103)(96, 104)(99, 441)(100, 442)(101, 447)(102, 448)(105,
279)(106, 280)(107, 395)(108, 396)(109, 397)(110, 398)(111, 273)(112, 274)(115,
475)(116, 476)(117, 477)(118, 478)(123, 402)(124, 401)(125, 408)(126, 407)(129,
240)(130, 239)(131, 511)(132, 512)(133, 505)(134, 506)(135, 234)(136, 233)(137,
329)(138, 330)(139, 223)(140, 224)(141, 217)(142, 218)(143, 335)(144, 336)(145,
315)(146, 316)(147, 195)(148, 196)(149, 197)(150, 198)(151, 317)(152, 318)(153,
159)(154, 160)(155, 497)(156, 498)(157, 503)(158, 504)(161, 305)(162, 306)(163,
185)(164, 186)(165, 191)(166, 192)(167, 311)(168, 312)(171, 291)(172, 292)(173,
293)(174, 294)(177, 278)(178, 277)(179, 393)(180, 394)(181, 399)(182, 400)(183,
276)(184, 275)(187, 466)(188, 465)(189, 472)(190, 471)(193, 271)(194, 272)(199,
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432)(426, 431)(483, 507)(484, 508)(485, 509)(486, 510)(489, 495)(490, 496)(499,
501)(500, 502)
f: (1, 5)(2, 6)(3, 7)(4, 8)(9, 154)(10, 153)(11, 156)(12, 155)(13, 158)(14,
157)(15, 160)(16, 159)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23,
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509)(42, 510)(43, 512)(44, 511)(45, 506)(46, 505)(47, 507)(48, 508)(51, 52)(53,
54)(57, 117)(58, 118)(59, 120)(60, 119)(61, 114)(62, 113)(63, 115)(64, 116)(65,
353)(66, 354)(67, 355)(68, 356)(69, 357)(70, 358)(71, 359)(72, 360)(73, 122)(74,
121)(75, 124)(76, 123)(77, 126)(78, 125)(79, 128)(80, 127)(81, 439)(82, 440)(83,
437)(84, 438)(85, 435)(86, 436)(87, 433)(88, 434)(89, 95)(90, 96)(91, 94)(92,
93)(97, 98)(103, 104)(105, 161)(106, 162)(107, 163)(108, 164)(109, 165)(110,
166)(111, 167)(112, 168)(137, 331)(138, 332)(139, 329)(140, 330)(141, 335)(142,
336)(143, 333)(144, 334)(145, 270)(146, 269)(147, 271)(148, 272)(149, 265)(150,
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384)(411, 412)(413, 414)(425, 430)(426, 429)(427, 432)(428, 431)(441, 448)(442,
447)(443, 445)(444, 446)(449, 455)(450, 456)(451, 454)(452, 453)
C4[ 512, 66 ]
512
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0