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