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