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