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