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