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