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On this page are computer-accessible forms for the graph C4[ 512, 336 ] =
PL(ATD[8,2]#ATD[64,21]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 334}, {256, 418}, {256, 458}, {256, 506}, {92, 348}, {211,
467}, {23, 278}, {102, 359}, {166, 423}, {10, 264}, {94, 348}, {169, 427}, {243,
497}, {85, 342}, {129, 386}, {90, 345}, {204, 463}, {8, 268}, {128, 388}, {31,
283}, {163, 423}, {175, 427}, {198, 450}, {14, 267}, {152, 413}, {139, 398},
{52, 305}, {214, 467}, {219, 478}, {59, 317}, {114, 372}, {72, 334}, {152, 415},
{4, 268}, {160, 424}, {16, 280}, {24, 272}, {166, 430}, {196, 460}, {210, 474},
{48, 313}, {141, 388}, {113, 376}, {98, 363}, {183, 446}, {207, 454}, {221,
468}, {227, 490}, {228, 493}, {3, 265}, {103, 365}, {218, 464}, {30, 277}, {144,
411}, {31, 276}, {35, 296}, {19, 287}, {115, 383}, {59, 311}, {83, 351}, {193,
461}, {31, 274}, {60, 305}, {75, 326}, {82, 351}, {179, 446}, {231, 490}, {6,
264}, {7, 265}, {60, 306}, {70, 328}, {92, 338}, {174, 416}, {179, 445}, {189,
435}, {118, 377}, {249, 502}, {213, 474}, {215, 472}, {64, 336}, {197, 469},
{36, 309}, {162, 435}, {115, 354}, {71, 342}, {74, 347}, {167, 438}, {219, 458},
{222, 463}, {17, 259}, {29, 271}, {41, 315}, {55, 293}, {74, 344}, {98, 368},
{235, 505}, {98, 369}, {185, 426}, {231, 500}, {40, 316}, {252, 488}, {89, 332},
{161, 436}, {100, 369}, {182, 419}, {244, 481}, {86, 320}, {156, 394}, {93,
331}, {186, 428}, {36, 307}, {66, 341}, {71, 336}, {167, 432}, {175, 440}, {210,
453}, {232, 511}, {46, 310}, {253, 485}, {114, 362}, {58, 290}, {12, 277}, {20,
269}, {234, 499}, {67, 345}, {153, 387}, {238, 500}, {35, 312}, {154, 385},
{178, 425}, {203, 464}, {93, 321}, {155, 391}, {142, 402}, {63, 289}, {155,
389}, {106, 372}, {180, 426}, {13, 274}, {251, 484}, {127, 352}, {112, 367},
{66, 349}, {176, 431}, {31, 319}, {61, 285}, {64, 352}, {206, 494}, {99, 322},
{185, 408}, {187, 410}, {239, 462}, {38, 260}, {141, 431}, {82, 368}, {86, 373},
{135, 420}, {186, 409}, {219, 504}, {243, 464}, {42, 270}, {94, 378}, {15, 298},
{119, 338}, {28, 313}, {57, 284}, {91, 382}, {175, 394}, {209, 500}, {37, 259},
{148, 434}, {111, 329}, {174, 392}, {202, 492}, {214, 496}, {65, 358}, {220,
507}, {230, 449}, {107, 323}, {184, 400}, {216, 496}, {21, 316}, {145, 440},
{119, 350}, {84, 381}, {172, 389}, {225, 456}, {18, 312}, {137, 419}, {177,
411}, {199, 493}, {5, 302}, {32, 267}, {41, 258}, {66, 361}, {97, 330}, {172,
391}, {190, 405}, {3, 303}, {250, 470}, {26, 310}, {78, 354}, {180, 408}, {29,
304}, {119, 346}, {236, 449}, {241, 476}, {51, 285}, {131, 429}, {126, 336},
{121, 343}, {167, 393}, {10, 293}, {75, 356}, {102, 329}, {80, 352}, {250, 458},
{32, 273}, {134, 439}, {221, 492}, {13, 319}, {76, 382}, {206, 508}, {26, 297},
{121, 330}, {178, 385}, {207, 508}, {49, 261}, {207, 507}, {34, 279}, {48, 263},
{53, 268}, {122, 323}, {109, 340}, {170, 403}, {244, 461}, {18, 296}, {148,
430}, {124, 326}, {197, 511}, {11, 304}, {248, 451}, {35, 280}, {40, 275}, {43,
272}, {64, 379}, {176, 395}, {74, 374}, {135, 443}, {186, 390}, {188, 384}, {60,
257}, {149, 424}, {143, 434}, {69, 376}, {179, 398}, {196, 505}, {11, 309},
{246, 456}, {158, 416}, {143, 433}, {20, 298}, {28, 290}, {51, 269}, {76, 370},
{100, 346}, {174, 400}, {181, 395}, {75, 372}, {87, 360}, {205, 498}, {7, 327},
{128, 448}, {165, 485}, {170, 490}, {152, 473}, {255, 446}, {171, 490}, {76,
270}, {148, 470}, {132, 454}, {110, 300}, {6, 325}, {97, 290}, {188, 511}, {230,
421}, {3, 327}, {159, 475}, {140, 457}, {44, 362}, {57, 383}, {95, 281}, {243,
437}, {99, 292}, {248, 447}, {149, 466}, {103, 288}, {190, 505}, {80, 280},
{252, 436}, {149, 477}, {82, 282}, {172, 484}, {242, 442}, {24, 337}, {161,
488}, {44, 357}, {197, 396}, {25, 339}, {69, 271}, {132, 463}, {159, 468}, {21,
345}, {142, 450}, {78, 258}, {220, 400}, {39, 362}, {254, 435}, {247, 442},
{146, 479}, {136, 453}, {200, 389}, {223, 402}, {224, 430}, {10, 325}, {46,
353}, {50, 381}, {15, 351}, {105, 313}, {4, 341}, {85, 263}, {165, 503}, {177,
483}, {30, 333}, {250, 425}, {144, 451}, {118, 293}, {203, 408}, {96, 308},
{203, 415}, {14, 347}, {115, 294}, {201, 412}, {14, 344}, {247, 417}, {136,
478}, {22, 320}, {173, 507}, {183, 481}, {199, 401}, {231, 433}, {192, 407},
{37, 381}, {250, 418}, {121, 289}, {44, 372}, {198, 414}, {4, 349}, {54, 367},
{199, 414}, {211, 394}, {217, 384}, {63, 357}, {116, 302}, {96, 314}, {192,
410}, {193, 411}, {216, 387}, {17, 333}, {139, 471}, {191, 483}, {209, 397},
{213, 393}, {214, 394}, {226, 447}, {170, 500}, {173, 499}, {209, 399}, {229,
443}, {62, 353}, {150, 457}, {237, 397}, {216, 441}, {43, 329}, {69, 295}, {186,
472}, {237, 399}, {243, 401}, {81, 306}, {101, 262}, {71, 291}, {241, 405}, {11,
366}, {249, 412}, {147, 502}, {18, 375}, {49, 340}, {217, 444}, {48, 342}, {138,
492}, {54, 337}, {253, 410}, {148, 499}, {127, 280}, {85, 306}, {203, 428},
{228, 387}, {244, 403}, {37, 333}, {78, 294}, {79, 295}, {109, 261}, {9, 352},
{154, 499}, {41, 320}, {56, 337}, {77, 292}, {170, 451}, {198, 431}, {110, 260},
{138, 480}, {15, 356}, {254, 405}, {248, 403}, {156, 503}, {234, 385}, {13,
353}, {212, 440}, {229, 393}, {239, 386}, {27, 373}, {120, 278}, {114, 284},
{60, 338}, {73, 295}, {100, 266}, {66, 301}, {128, 495}, {120, 279}, {68, 299},
{101, 266}, {108, 259}, {187, 468}, {214, 441}, {218, 437}, {136, 504}, {151,
487}, {124, 269}, {191, 462}, {205, 444}, {12, 382}, {160, 466}, {125, 271},
{49, 323}, {91, 297}, {176, 450}, {29, 366}, {151, 484}, {54, 325}, {81, 293},
{168, 476}, {223, 427}, {51, 326}, {152, 493}, {78, 315}, {228, 401}, {45, 347},
{119, 257}, {104, 286}, {17, 358}, {245, 386}, {129, 502}, {87, 303}, {130,
506}, {180, 460}, {194, 442}, {131, 506}, {43, 337}, {218, 416}, {53, 334},
{173, 470}, {25, 357}, {149, 489}, {92, 288}, {177, 461}, {189, 449}, {232,
404}, {34, 351}, {162, 479}, {157, 480}, {52, 329}, {56, 325}, {1, 383}, {144,
494}, {12, 370}, {20, 362}, {29, 355}, {216, 422}, {226, 412}, {44, 339}, {136,
503}, {61, 322}, {101, 282}, {108, 275}, {212, 427}, {125, 509}, {161, 289},
{139, 267}, {238, 366}, {104, 489}, {247, 374}, {134, 263}, {122, 507}, {112,
497}, {106, 491}, {50, 432}, {61, 447}, {70, 452}, {229, 359}, {5, 390}, {12,
399}, {113, 501}, {253, 377}, {38, 419}, {129, 260}, {57, 444}, {193, 324}, {99,
485}, {159, 281}, {107, 493}, {7, 384}, {19, 404}, {164, 291}, {168, 303}, {211,
340}, {87, 479}, {151, 287}, {95, 471}, {223, 343}, {22, 415}, {153, 272}, {123,
498}, {116, 509}, {111, 486}, {45, 423}, {154, 272}, {129, 267}, {127, 501},
{46, 420}, {24, 403}, {123, 496}, {35, 424}, {95, 468}, {107, 480}, {224, 363},
{70, 458}, {33, 428}, {251, 374}, {28, 402}, {113, 511}, {225, 367}, {79, 448},
{139, 260}, {125, 498}, {183, 312}, {54, 422}, {15, 414}, {153, 264}, {30, 399},
{56, 425}, {182, 295}, {47, 445}, {251, 361}, {154, 264}, {64, 466}, {104, 506},
{106, 504}, {169, 315}, {190, 300}, {123, 488}, {255, 364}, {252, 367}, {159,
268}, {145, 258}, {219, 328}, {73, 477}, {2, 407}, {91, 462}, {171, 318}, {209,
324}, {239, 378}, {65, 471}, {33, 438}, {162, 309}, {160, 311}, {141, 282},
{185, 302}, {16, 392}, {246, 366}, {130, 282}, {113, 489}, {87, 463}, {93, 453},
{102, 510}, {164, 316}, {179, 299}, {127, 486}, {251, 354}, {158, 263}, {147,
266}, {39, 445}, {254, 356}, {57, 418}, {120, 483}, {171, 304}, {10, 406}, {45,
433}, {204, 336}, {6, 411}, {160, 317}, {131, 286}, {163, 318}, {174, 307},
{196, 345}, {135, 281}, {245, 363}, {40, 439}, {89, 454}, {27, 443}, {79, 495},
{98, 450}, {105, 457}, {215, 375}, {218, 379}, {21, 439}, {120, 474}, {52, 406},
{77, 495}, {83, 497}, {168, 266}, {234, 328}, {68, 487}, {233, 330}, {124, 472},
{147, 311}, {204, 360}, {205, 361}, {240, 340}, {8, 429}, {40, 397}, {190, 283},
{27, 445}, {150, 304}, {80, 502}, {217, 383}, {126, 473}, {146, 309}, {192,
359}, {202, 365}, {25, 433}, {58, 402}, {77, 485}, {221, 373}, {4, 429}, {39,
398}, {96, 457}, {181, 284}, {189, 276}, {207, 358}, {65, 491}, {121, 467}, {93,
503}, {238, 324}, {133, 302}, {181, 286}, {228, 335}, {117, 473}, {189, 273},
{231, 331}, {72, 486}, {168, 262}, {176, 286}, {225, 335}, {17, 446}, {150,
313}, {141, 290}, {140, 291}, {133, 298}, {62, 401}, {73, 486}, {81, 510}, {110,
449}, {16, 416}, {19, 419}, {82, 482}, {220, 364}, {52, 389}, {122, 459}, {83,
482}, {37, 407}, {111, 477}, {38, 404}, {94, 492}, {213, 359}, {75, 504}, {255,
332}, {252, 335}, {165, 278}, {201, 378}, {232, 347}, {2, 438}, {128, 308}, {36,
400}, {70, 498}, {215, 355}, {220, 360}, {1, 436}, {90, 495}, {104, 477}, {2,
436}, {162, 276}, {140, 314}, {33, 407}, {58, 396}, {235, 349}, {115, 452},
{132, 307}, {204, 379}, {210, 357}, {1, 441}, {254, 326}, {144, 296}, {16, 424},
{68, 508}, {69, 509}, {33, 408}, {125, 452}, {45, 404}, {212, 365}, {236, 341},
{142, 308}, {180, 270}, {217, 355}, {2, 441}, {155, 288}, {200, 371}, {201,
370}, {233, 338}, {34, 414}, {122, 454}, {8, 437}, {65, 508}, {72, 501}, {106,
471}, {192, 381}, {197, 376}, {25, 423}, {26, 420}, {53, 395}, {224, 350}, {233,
343}, {88, 487}, {110, 465}, {195, 380}, {117, 437}, {242, 306}, {34, 483}, {77,
396}, {173, 364}, {23, 469}, {137, 331}, {50, 496}, {55, 501}, {94, 412}, {187,
377}, {72, 395}, {131, 320}, {242, 305}, {47, 491}, {143, 331}, {208, 276}, {1,
452}, {6, 451}, {191, 378}, {22, 464}, {195, 261}, {123, 444}, {235, 300}, {132,
332}, {245, 317}, {137, 321}, {14, 455}, {138, 323}, {55, 510}, {103, 430},
{233, 288}, {18, 472}, {20, 478}, {101, 431}, {230, 300}, {202, 257}, {208,
283}, {226, 297}, {130, 334}, {246, 314}, {145, 349}, {244, 312}, {22, 475},
{23, 474}, {84, 409}, {108, 417}, {83, 413}, {249, 311}, {182, 376}, {185, 375},
{187, 373}, {62, 497}, {156, 339}, {71, 392}, {105, 422}, {240, 319}, {114,
418}, {249, 297}, {184, 360}, {8, 473}, {157, 332}, {150, 327}, {137, 344}, {51,
482}, {95, 398}, {183, 358}, {184, 361}, {195, 274}, {80, 386}, {85, 391}, {239,
317}, {175, 380}, {26, 462}, {255, 299}, {28, 456}, {24, 461}, {143, 346}, {43,
510}, {103, 434}, {196, 273}, {212, 257}, {81, 391}, {153, 335}, {138, 348},
{112, 422}, {90, 396}, {100, 434}, {164, 370}, {11, 476}, {23, 448}, {236, 315},
{89, 385}, {215, 271}, {21, 460}, {32, 505}, {97, 440}, {50, 488}, {151, 333},
{67, 409}, {172, 374}, {184, 354}, {199, 285}, {9, 466}, {145, 330}, {135, 348},
{198, 285}, {225, 314}, {3, 479}, {99, 447}, {161, 380}, {194, 287}, {208, 269},
{227, 318}, {55, 489}, {109, 435}, {167, 377}, {241, 303}, {61, 482}, {117,
426}, {188, 355}, {118, 406}, {156, 380}, {205, 301}, {108, 397}, {133, 356},
{126, 415}, {147, 369}, {163, 321}, {195, 289}, {146, 369}, {240, 275}, {5,
481}, {84, 432}, {96, 388}, {194, 294}, {46, 459}, {158, 379}, {68, 417}, {97,
388}, {206, 299}, {240, 277}, {42, 460}, {67, 421}, {206, 296}, {224, 262}, {9,
494}, {32, 455}, {163, 324}, {166, 321}, {238, 265}, {9, 481}, {47, 455}, {88,
432}, {178, 346}, {230, 270}, {237, 261}, {76, 421}, {235, 258}, {42, 448}, {59,
465}, {105, 387}, {241, 283}, {5, 494}, {253, 278}, {200, 291}, {221, 310},
{223, 308}, {63, 467}, {117, 409}, {91, 439}, {171, 327}, {178, 350}, {211,
319}, {13, 480}, {158, 371}, {112, 413}, {86, 443}, {222, 307}, {242, 287}, {53,
475}, {56, 470}, {88, 438}, {182, 344}, {58, 469}, {248, 279}, {67, 428}, {194,
301}, {27, 491}, {74, 442}, {89, 425}, {227, 275}, {157, 364}, {213, 292}, {41,
475}, {133, 375}, {130, 368}, {116, 390}, {164, 342}, {177, 322}, {222, 301},
{245, 262}, {116, 384}, {247, 259}, {62, 459}, {134, 371}, {201, 316}, {226,
279}, {107, 413}, {155, 365}, {126, 392}, {165, 339}, {210, 292}, {227, 277},
{234, 284}, {19, 484}, {38, 465}, {36, 476}, {134, 382}, {48, 456}, {92, 420},
{109, 405}, {166, 350}, {222, 294}, {30, 487}, {146, 363}, {111, 406}, {39,
478}, {88, 417}, {200, 305}, {7, 509}, {124, 390}, {49, 459}, {63, 453}, {208,
298}, {86, 429}, {59, 455}, {157, 353}, {102, 410}, {169, 341}, {202, 310},
{229, 281}, {181, 328}, {191, 322}, {236, 273}, {47, 465}, {142, 368}, {84,
426}, {169, 343}, {42, 469}, {246, 265}, {140, 371}, {118, 393}, {90, 421},
{193, 318}, {237, 274}, {73, 512}, {79, 512}, {188, 512}, {232, 512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 334}
under the group generated by the following permutations:
a: (27, 95)(47, 139)(53, 131)(59, 129)(72, 104)(80, 160)(86, 159)(127, 149)(260,
465)(267, 455)(268, 429)(280, 424)(281, 443)(286, 395)(311, 502)(317, 386)(320,
475)(334, 506)(352, 466)(373, 468)(398, 445)(471, 491)(477, 486)(489, 501) (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: (12, 40)(14, 38)(19, 74)(21, 76)(30, 108)(32, 110)(60, 155)(89, 173)(103,
119)(132, 220)(148, 178)(151, 247)(172, 242)(184, 222)(194, 251)(196, 230)(257,
365)(259, 333)(260, 267)(270, 460)(273, 449)(275, 277)(287, 374)(288, 338)(294,
354)(300, 505)(301, 361)(305, 389)(306, 391)(307, 400)(316, 370)(332, 364)(344,
419)(345, 421)(346, 434)(347, 404)(350, 430)(360, 463)(382, 439)(385, 499)(397,
399)(417, 487)(425, 470)(442, 484)(454, 507)(455, 465)
c: (3, 11)(5, 18)(7, 29)(9, 35)(16, 64)(36, 87)(116, 215)(174, 204)(265,
366)(271, 509)(280, 352)(296, 494)(302, 375)(303, 476)(304, 327)(307, 463)(309,
479)(312, 481)(336, 392)(355, 384)(360, 400)(379, 416)(390, 472)(424, 466)
d: (12, 40)(14, 38)(19, 74)(21, 76)(30, 108)(32, 110)(151, 247)(196, 230)(259,
333)(260, 267)(270, 460)(273, 449)(275, 277)(287, 442)(300, 505)(316, 370)(344,
419)(345, 421)(347, 404)(374, 484)(382, 439)(397, 399)(417, 487)(455, 465)
e: (1, 3, 58, 83, 239, 187, 255, 19)(2, 87, 197, 112, 245, 253, 157, 38)(4, 18,
200, 181, 170, 233, 75, 40)(5, 85, 256, 193, 212, 20, 12, 41)(6, 119, 44, 237,
235, 186, 158, 72, 24, 103, 136, 240, 236, 185, 71, 104)(7, 28, 82, 191, 221,
179, 151, 115)(8, 35, 52, 234, 231, 121, 254, 21)(9, 81, 250, 163, 175, 208, 76,
22)(10, 178, 25, 195, 190, 67, 218, 127, 43, 148, 93, 211, 189, 180, 126,
149)(11, 128, 199, 249, 229, 207, 74, 123)(13, 110, 33, 204, 113, 54, 224,
165)(14, 50, 36, 79, 228, 147, 213, 122)(15, 201, 86, 206, 242, 57, 238, 97, 51,
91, 159, 183, 172, 70, 171, 223)(16, 111, 154, 143, 63, 109, 196, 117)(17, 251,
125, 150, 142, 34, 94, 27, 68, 194, 217, 246, 141, 61, 26, 95)(23, 107, 59, 167,
132, 232, 252, 168, 77, 62, 129, 192, 220, 182, 216, 146)(29, 96, 198, 226, 135,
65, 247, 205)(30, 78, 116, 48, 130, 177, 202, 39)(31, 230, 203, 64, 55, 56, 166,
156)(32, 84, 174, 73, 153, 100, 210, 49)(37, 184, 69, 105, 98, 120, 138, 47, 88,
222, 188, 225, 101, 99, 46, 139)(42, 152, 160, 118, 89, 45, 161, 241, 90, 243,
80, 102, 173, 137, 214, 162)(53, 244, 155, 219, 227, 169, 133, 164, 131, 144,
60, 114, 209, 145, 124, 134)(66, 215, 140, 176, 248, 92, 106, 108)(257, 362,
399, 258, 390, 263, 334, 461, 365, 478, 277, 315, 302, 342, 506, 411)(259, 361,
271, 457, 450, 279, 348, 491, 417, 301, 355, 314, 431, 447, 420, 471)(260, 407,
360, 376, 422, 363, 278, 480, 465, 438, 463, 511, 367, 262, 485, 353)(261, 505,
409, 416, 486, 272, 434, 453, 340, 273, 426, 392, 477, 264, 346, 357)(265, 290,
482, 462, 468, 446, 484, 452, 327, 402, 351, 378, 373, 299, 287, 383)(266, 292,
459, 267, 381, 400, 295, 387, 369, 474, 323, 455, 432, 307, 512, 335)(268, 312,
389, 328, 490, 343, 356, 316, 429, 296, 305, 284, 500, 330, 326, 439)(269, 382,
475, 481, 391, 458, 318, 427, 298, 370, 320, 494, 306, 418, 324, 440)(270, 415,
466, 293, 425, 423, 380, 283, 421, 464, 352, 510, 470, 321, 394, 276)(274, 300,
428, 379, 501, 337, 430, 503, 319, 449, 408, 336, 489, 325, 350, 339)(275, 341,
375, 291, 286, 451, 338, 372, 397, 349, 472, 371, 395, 403, 288, 504)(280, 329,
499, 331, 467, 435, 460, 473, 424, 406, 385, 433, 289, 405, 345, 437)(281, 358,
374, 498, 304, 308, 414, 412, 443, 508, 442, 444, 366, 388, 285, 297)(282, 322,
310, 398, 333, 354, 509, 313, 368, 483, 492, 445, 487, 294, 384, 456)(303, 396,
497, 386, 410, 364, 419, 441, 479, 469, 413, 317, 377, 332, 404, 436)(309, 448,
493, 311, 393, 454, 347, 488, 476, 495, 401, 502, 359, 507, 344, 496)
f: (28, 96)(48, 140)(52, 81)(55, 111)(58, 128)(73, 113)(79, 197)(85, 200)(263,
371)(290, 388)(291, 342)(293, 406)(295, 376)(305, 306)(308, 402)(313, 457)(314,
456)(329, 510)(389, 391)(396, 495)(448, 469)(477, 489)(486, 501)(511, 512)
g: (54, 153)(56, 154)(82, 198)(83, 199)(112, 228)(130, 176)(181, 256)(234,
250)(264, 325)(272, 337)(282, 431)(284, 418)(285, 482)(286, 506)(328, 458)(334,
395)(335, 367)(351, 414)(368, 450)(385, 425)(387, 422)(401, 497)(413, 493)(470,
499)
h: (2, 115)(3, 210, 11, 165)(4, 117)(5, 233, 18, 212)(6, 148)(7, 63, 29, 156)(9,
92, 35, 202)(10, 173)(12, 14)(13, 73)(15, 141)(16, 221, 64, 135)(17, 242)(19,
108)(20, 96)(21, 110)(23, 241)(24, 178)(25, 238)(26, 160)(27, 158)(28, 75)(30,
74)(31, 79)(32, 76)(33, 78)(34, 101)(36, 253, 87, 213)(37, 194)(38, 40)(39,
140)(41, 203)(42, 190)(43, 89)(44, 246)(45, 209)(46, 149)(47, 134)(48, 106)(49,
113)(50, 205)(51, 142)(52, 255)(53, 152)(54, 250)(55, 122)(57, 252)(58, 254)(59,
91)(60, 183)(61, 98)(62, 104)(65, 85)(66, 84)(67, 236)(68, 172)(69, 211)(70,
216)(71, 95)(72, 107)(77, 162)(80, 94)(81, 207)(83, 130)(86, 218)(88, 251)(90,
189)(93, 171)(97, 133)(99, 146)(100, 248)(102, 132)(103, 144)(105, 219)(109,
197)(111, 157)(112, 256)(114, 225)(116, 121, 215, 175)(118, 220)(119, 244)(120,
168)(124, 223)(125, 214)(126, 159)(127, 138)(128, 208)(129, 201)(131, 243)(136,
150)(137, 227)(139, 164)(143, 170)(145, 185)(147, 226)(151, 247)(153, 234)(155,
206)(161, 217)(166, 193)(167, 184)(169, 186)(174, 187, 204, 229)(176, 199)(177,
224)(179, 200)(180, 235)(181, 228)(182, 240)(188, 195)(191, 245)(192, 222)(196,
230)(232, 237)(257, 481, 338, 312)(258, 408)(259, 287)(260, 316)(261, 511)(262,
483)(263, 491)(264, 499)(265, 357, 366, 339)(266, 279)(267, 370)(268, 473)(269,
308)(270, 505)(271, 394, 509, 467)(272, 385)(273, 421)(274, 512)(275, 419)(276,
495)(277, 344)(278, 303, 474, 476)(280, 492, 352, 348)(281, 392, 468, 336)(282,
351)(283, 448)(284, 335)(285, 450)(286, 401)(288, 296, 365, 494)(289, 355, 380,
384)(290, 356)(291, 398)(292, 309, 485, 479)(293, 507)(294, 407)(295, 319)(297,
311)(298, 388)(299, 389)(300, 460)(301, 381)(302, 330, 375, 440)(304, 503, 327,
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470)(326, 402)(328, 387)(329, 332)(331, 490)(333, 442)(334, 413)(337, 425)(340,
376)(341, 409)(342, 471)(343, 472, 427, 390)(345, 449)(346, 403)(347, 399)(349,
426)(350, 461)(353, 477)(354, 438)(360, 393, 400, 377)(361, 432)(364, 406)(367,
418)(368, 482)(369, 447)(371, 445)(372, 456)(373, 379, 443, 416)(374, 487)(378,
386)(382, 455)(383, 436)(391, 508)(395, 493)(396, 435)(397, 404)(405, 469)(411,
430)(412, 502)(414, 431)(415, 475)(417, 484)(422, 458)(429, 437)(433, 500)(434,
451)(439, 465)(441, 452)(444, 488)(454, 510)(457, 478)(459, 489)(480, 486)(496,
498)(497, 506)
m: (63, 156)(92, 202)(121, 175)(135, 221)(165, 210)(187, 229)(212, 233)(213,
253)(257, 338)(278, 474)(281, 468)(288, 365)(289, 380)(292, 485)(310, 420)(330,
440)(339, 357)(343, 427)(348, 492)(359, 410)(373, 443)(377, 393)(394, 467)(453,
503)
n1: (105, 225)(150, 246)(161, 214)(171, 238)(195, 211)(209, 227)(216, 252)(237,
240)(261, 340)(265, 327)(274, 319)(275, 397)(277, 399)(289, 467)(304, 366)(313,
456)(314, 457)(318, 324)(335, 387)(367, 422)(380, 394)(436, 441)(488, 496)(490,
500)
a1: (15, 51)(23, 77)(34, 61)(42, 90)(67, 180)(99, 120)(124, 133)(185, 186)(269,
298)(270, 421)(278, 485)(279, 447)(285, 414)(292, 474)(302, 390)(322, 483)(326,
356)(345, 460)(351, 482)(375, 472)(396, 469)(408, 428)(409, 426)(448, 495)
b1: (25, 93)(44, 136)(45, 137)(57, 70)(69, 188)(114, 219)(125, 217)(182,
232)(271, 355)(284, 328)(295, 512)(321, 423)(331, 433)(339, 503)(344, 347)(357,
453)(362, 478)(372, 504)(376, 511)(383, 452)(384, 509)(404, 419)(418, 458)(444,
498)
c1: (1, 2)(3, 12)(4, 8)(5, 19)(6, 25)(7, 30)(9, 38)(10, 44)(11, 40)(13, 96, 49,
28)(14, 35)(15, 60)(16, 32)(17, 69)(18, 74)(20, 52, 75, 81)(21, 36)(22, 41)(23,
89)(24, 93)(26, 101, 94, 98)(27, 72)(29, 108)(31, 140, 109, 48)(33, 115)(34,
119)(37, 125)(39, 111, 106, 55)(42, 132)(43, 136)(45, 144)(46, 141, 138,
142)(47, 127)(50, 123)(51, 155)(53, 86)(54, 63)(56, 210)(57, 167)(58, 157, 128,
122)(59, 80)(61, 103)(62, 97, 107, 223)(64, 110)(65, 113, 179, 73)(66, 117)(67,
184)(68, 188)(70, 192)(71, 189, 158, 190)(76, 87)(77, 173)(78, 203)(79, 207,
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209)(174, 196)(175, 228)(176, 221)(180, 222)(181, 187)(182, 183)(185, 194)(186,
251)(193, 231)(198, 202)(199, 212)(204, 230)(206, 232)(211, 225)(213, 250)(214,
252)(215, 247)(224, 226)(227, 238)(229, 256)(234, 253)(240, 246)(245, 249)(257,
414)(258, 415, 315, 464)(259, 271)(260, 466)(261, 313, 274, 457)(262, 412, 363,
297)(263, 283, 291, 435)(264, 339)(265, 277)(266, 378, 369, 462)(267, 424)(268,
429)(269, 389, 326, 391)(270, 463)(272, 503)(273, 416, 505, 392)(275, 366)(276,
371, 405, 342)(278, 385)(279, 350)(280, 455)(281, 506)(282, 348, 368, 420)(284,
377)(285, 365)(286, 468)(287, 302)(288, 482)(289, 422)(290, 480, 308, 459)(292,
470)(293, 362, 406, 372)(294, 408)(295, 358, 376, 446)(296, 347)(298, 305, 356,
306)(299, 512, 508, 511)(300, 336, 449, 379)(301, 426)(303, 370, 479, 382)(304,
397)(307, 460)(309, 439, 476, 316)(310, 431, 492, 450)(311, 386)(312, 344)(314,
340, 456, 319)(317, 502)(318, 500)(320, 475)(321, 403)(322, 434)(323, 402, 353,
388)(324, 490)(325, 357)(327, 399)(328, 410)(329, 504, 510, 478)(330, 413, 343,
497)(331, 461)(332, 448, 454, 469)(333, 509)(334, 443)(335, 394)(337, 453)(338,
351)(341, 437, 349, 473)(345, 400)(346, 483)(352, 465)(354, 428)(355, 417)(359,
458)(360, 421)(361, 409)(364, 495, 507, 396)(367, 467)(373, 395)(374, 472)(375,
442)(380, 387)(381, 498)(383, 438)(384, 487)(390, 484)(393, 418)(398, 477, 471,
489)(401, 440, 493, 427)(404, 494)(407, 452)(411, 433)(419, 481)(423, 451)(425,
474)(430, 447)(432, 444)(436, 441)(445, 486, 491, 501)(485, 499)(488, 496)
d1: (2, 115)(3, 210, 11, 165)(4, 117)(5, 233, 18, 212)(6, 148)(7, 63, 29,
156)(9, 92, 35, 202)(10, 173)(12, 14)(13, 73)(15, 141)(16, 221, 64, 135)(17,
242)(19, 108)(20, 96)(21, 110)(23, 241)(24, 178)(25, 238)(26, 160)(27, 158)(28,
75)(30, 74)(31, 79)(32, 76)(33, 78)(34, 101)(36, 253, 87, 213)(37, 194)(38,
40)(39, 140)(41, 203)(42, 190)(43, 89)(44, 246)(45, 209)(46, 149)(47, 134)(48,
106)(49, 113)(50, 205)(51, 142)(52, 255)(53, 152)(54, 250)(55, 122)(57, 252)(58,
254)(59, 91)(60, 183)(61, 98)(62, 104)(65, 85)(66, 84)(67, 236)(68, 172)(69,
211)(70, 216)(71, 95)(72, 107)(77, 162)(80, 94)(81, 207)(83, 130)(86, 218)(88,
251)(90, 189)(93, 171)(97, 133)(99, 146)(100, 177)(102, 132)(103, 144)(105,
219)(109, 197)(111, 157)(112, 256)(114, 225)(116, 121, 215, 175)(118, 220)(119,
244)(120, 168)(124, 223)(125, 214)(126, 159)(127, 138)(128, 208)(129, 201)(131,
243)(136, 150)(137, 227)(139, 164)(143, 193)(145, 185)(147, 191)(151, 247)(153,
234)(155, 206)(161, 217)(163, 231)(166, 170)(167, 184)(169, 186)(174, 187, 204,
229)(176, 199)(179, 200)(180, 235)(181, 228)(182, 240)(188, 195)(192, 222)(196,
230)(224, 248)(226, 245)(232, 237)(239, 249)(257, 481, 338, 312)(258, 408)(259,
287)(260, 316)(261, 511)(262, 279)(263, 491)(264, 499)(265, 357, 366, 339)(266,
483)(267, 370)(268, 473)(269, 308)(270, 505)(271, 394, 509, 467)(272, 385)(273,
421)(274, 512)(275, 419)(276, 495)(277, 344)(278, 303, 474, 476)(280, 492, 352,
348)(281, 392, 468, 336)(282, 351)(283, 448)(284, 335)(285, 450)(286, 401)(288,
296, 365, 494)(289, 355, 380, 384)(290, 356)(291, 398)(292, 309, 485, 479)(293,
507)(294, 407)(295, 319)(297, 317)(298, 388)(299, 389)(300, 460)(301, 381)(302,
330, 375, 440)(304, 503, 327, 453)(305, 446)(306, 358)(307, 410, 463, 359)(310,
466, 420, 424)(311, 462)(313, 504)(314, 362)(315, 428)(318, 331)(320, 464)(321,
490)(322, 369)(323, 501)(324, 433)(325, 470)(326, 402)(328, 387)(329, 332)(333,
442)(334, 413)(337, 425)(340, 376)(341, 409)(342, 471)(343, 472, 427, 390)(345,
449)(346, 461)(347, 399)(349, 426)(350, 403)(353, 477)(354, 438)(360, 393, 400,
377)(361, 432)(363, 447)(364, 406)(367, 418)(368, 482)(371, 445)(372, 456)(373,
379, 443, 416)(374, 487)(378, 502)(382, 455)(383, 436)(386, 412)(391, 508)(395,
493)(396, 435)(397, 404)(405, 469)(411, 434)(414, 431)(415, 475)(417, 484)(422,
458)(423, 500)(429, 437)(430, 451)(439, 465)(441, 452)(444, 488)(454, 510)(457,
478)(459, 489)(480, 486)(496, 498)(497, 506)
e1: (1, 6, 96, 107, 123, 24, 28, 62)(2, 10, 140, 152, 50, 43, 48, 243)(3, 51,
156, 148)(4, 17, 113, 91, 41, 68, 73, 201)(5, 77, 202, 184)(7, 61, 175, 173)(8,
37, 55, 134, 22, 88, 111, 164)(9, 90, 221, 251)(11, 15, 63, 178)(12, 53, 30,
72)(13, 57, 170, 141, 49, 70, 193, 142)(14, 59, 32, 47)(16, 180, 229, 242)(18,
23, 92, 222)(19, 80, 230, 95)(20, 25, 100, 241, 75, 93, 224, 162)(21, 86, 247,
149)(26, 78, 206, 79, 94, 66, 183, 197)(27, 74, 160, 196)(29, 34, 121, 89)(31,
114, 231, 101, 109, 219, 163, 98)(33, 118, 200, 126, 84, 102, 85, 218)(35, 42,
135, 194)(36, 133, 210, 119)(38, 129, 110, 139)(39, 45, 147, 190, 106, 137, 245,
189)(40, 131, 108, 104)(44, 143, 168, 254, 136, 166, 146, 208)(46, 115, 144,
128, 138, 205, 244, 58)(52, 71, 117, 192, 81, 158, 203, 167)(54, 225, 112,
252)(56, 246, 83, 161)(60, 174, 185, 213)(64, 67, 187, 172)(65, 182, 239, 236,
179, 232, 249, 235)(69, 191, 169, 255, 188, 226, 145, 207)(76, 159, 151,
127)(82, 195, 250, 238)(87, 124, 165, 103)(97, 122, 125, 177, 223, 157, 217,
248)(99, 212, 220, 116)(105, 228, 216, 153)(120, 233, 132, 215)(130, 237, 256,
209)(150, 199, 214, 154)(155, 204, 186, 253)(171, 198, 211, 234)(176, 240, 181,
227)(257, 400, 302, 292)(258, 508, 295, 378, 341, 446, 511, 297)(259, 489, 439,
320, 417, 477, 316, 429)(261, 458, 324, 368, 274, 418, 500, 282)(262, 435, 478,
423, 369, 283, 372, 331)(263, 464, 438, 406, 291, 473, 381, 510)(264, 457, 493,
496, 272, 313, 401, 441)(265, 482, 380, 470)(266, 405, 504, 321, 363, 276, 362,
433)(267, 465)(268, 333, 501, 382, 475, 487, 486, 370)(269, 339, 434, 303, 326,
503, 430, 479)(270, 281, 287, 280)(271, 483, 343, 332, 355, 279, 330, 454)(273,
445, 347, 311, 505, 491, 344, 317)(275, 286)(277, 395)(278, 288, 463, 472)(284,
490, 431, 340, 328, 318, 450, 319)(285, 394, 499, 327)(289, 425, 366, 351)(290,
459, 452, 411, 308, 480, 444, 403)(293, 371, 415, 432, 329, 342, 437, 407)(294,
296, 448, 348, 301, 312, 469, 420)(298, 357, 346, 476, 356, 453, 350, 309)(299,
512, 412, 349, 358, 376, 462, 315)(300, 471, 419, 386, 449, 398, 404, 502)(304,
414, 467, 385)(305, 392, 426, 359, 306, 416, 408, 393)(307, 375, 474, 338)(310,
354, 494, 495, 492, 361, 481, 396)(314, 413, 488, 337, 456, 497, 436, 325)(322,
427, 364, 384, 447, 440, 507, 509)(323, 498, 461, 402, 353, 383, 451, 388)(334,
399)(335, 422)(336, 409, 410, 391, 379, 428, 377, 389)(345, 373, 374, 466)(352,
421, 468, 484)(360, 390, 485, 365)(397, 506)(424, 460, 443, 442)
f1: (97, 223)(98, 101)(141, 142)(145, 169)(146, 168)(162, 241)(189, 190)(235,
236)(258, 315)(262, 363)(266, 369)(273, 505)(276, 283)(282, 368)(290, 402)(300,
449)(303, 479)(308, 388)(309, 476)(330, 343)(341, 349)(405, 435)(427, 440)(431,
450)
g1: (13, 49)(20, 75)(31, 109)(39, 106)(65, 179)(122, 157)(207, 255)(208,
254)(261, 274)(269, 326)(276, 435)(283, 405)(298, 356)(299, 508)(319, 340)(323,
480)(332, 454)(353, 459)(358, 446)(362, 372)(364, 507)(398, 471)(445, 491)(478,
504)
h1: (6, 24)(10, 43)(17, 68)(37, 88)(102, 118)(144, 244)(167, 192)(183, 206)(259,
417)(264, 272)(293, 510)(296, 312)(299, 446)(325, 337)(329, 406)(333, 487)(358,
508)(359, 393)(377, 410)(381, 432)(403, 451)(407, 438)(411, 461)(481, 494)
C4[ 512, 336 ]
512
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-2 407 441 436 438
-3 265 303 479 327
-4 341 429 268 349
-5 302 390 481 494
-6 264 451 411 325
-7 265 509 327 384
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-512 188 232 79 73
0