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