Graph forms
for C4 [ 512, 491 ] =
BGCG(UG(ATD[256,191]);K1;{5,6,11,13,18,21})
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On this page are computer-accessible forms for the graph C4[ 512, 491 ] =
BGCG(UG(ATD[256,191]);K1;{5,6,11,13,18,21}).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 274}, {256, 314}, {256, 402}, {256, 403}, {30, 286}, {65,
321}, {210, 466}, {21, 276}, {55, 310}, {195, 449}, {247, 501}, {207, 461},
{106, 361}, {249, 506}, {244, 503}, {114, 369}, {53, 305}, {148, 400}, {115,
375}, {67, 327}, {222, 474}, {160, 421}, {196, 449}, {19, 277}, {126, 376}, {20,
274}, {40, 303}, {194, 453}, {37, 301}, {57, 305}, {158, 407}, {240, 505}, {74,
320}, {157, 407}, {131, 393}, {213, 479}, {78, 325}, {254, 501}, {75, 327},
{251, 503}, {160, 428}, {173, 417}, {180, 440}, {26, 279}, {117, 376}, {164,
425}, {227, 494}, {28, 274}, {150, 408}, {135, 393}, {129, 399}, {96, 366},
{225, 495}, {242, 508}, {92, 339}, {135, 392}, {58, 298}, {158, 398}, {13, 284},
{147, 386}, {71, 342}, {182, 423}, {232, 505}, {5, 279}, {10, 280}, {218, 456},
{20, 263}, {53, 294}, {200, 475}, {239, 508}, {83, 327}, {84, 320}, {101, 369},
{177, 421}, {189, 425}, {240, 484}, {24, 269}, {132, 401}, {82, 327}, {241,
484}, {1, 279}, {152, 398}, {148, 386}, {60, 298}, {85, 322}, {101, 370}, {112,
359}, {218, 461}, {228, 499}, {35, 315}, {253, 485}, {113, 361}, {226, 506},
{137, 400}, {177, 424}, {39, 317}, {132, 414}, {97, 379}, {104, 370}, {178,
424}, {205, 471}, {215, 461}, {17, 266}, {193, 474}, {74, 342}, {235, 503}, {10,
279}, {133, 408}, {131, 414}, {121, 356}, {50, 303}, {37, 315}, {122, 356},
{204, 466}, {224, 510}, {85, 330}, {114, 365}, {168, 392}, {211, 499}, {137,
424}, {49, 275}, {154, 440}, {147, 433}, {206, 492}, {243, 465}, {12, 303},
{138, 425}, {116, 343}, {73, 362}, {82, 369}, {109, 334}, {171, 392}, {172,
399}, {174, 397}, {58, 286}, {1, 292}, {250, 479}, {141, 424}, {8, 301}, {72,
365}, {202, 495}, {203, 494}, {220, 505}, {33, 263}, {250, 476}, {249, 479},
{143, 425}, {44, 266}, {99, 325}, {42, 269}, {122, 349}, {59, 284}, {137, 417},
{178, 410}, {75, 354}, {245, 476}, {112, 345}, {226, 459}, {108, 326}, {252,
470}, {116, 350}, {173, 391}, {189, 407}, {235, 449}, {51, 280}, {118, 349},
{106, 321}, {234, 449}, {186, 407}, {254, 467}, {251, 470}, {71, 361}, {253,
467}, {146, 444}, {167, 393}, {244, 474}, {58, 277}, {66, 365}, {83, 380}, {100,
331}, {209, 510}, {26, 298}, {102, 342}, {4, 309}, {141, 444}, {8, 313}, {54,
263}, {69, 372}, {77, 380}, {102, 343}, {222, 495}, {97, 339}, {151, 421}, {215,
485}, {25, 298}, {120, 331}, {192, 499}, {213, 486}, {67, 375}, {182, 386},
{229, 465}, {87, 354}, {246, 451}, {153, 428}, {123, 334}, {217, 492}, {234,
479}, {104, 350}, {211, 485}, {10, 317}, {255, 456}, {24, 303}, {111, 344},
{209, 486}, {81, 361}, {159, 423}, {190, 390}, {213, 493}, {199, 510}, {215,
494}, {3, 313}, {118, 332}, {38, 284}, {46, 276}, {37, 286}, {248, 451}, {47,
276}, {47, 275}, {161, 413}, {4, 313}, {246, 459}, {145, 428}, {124, 321}, {6,
315}, {179, 398}, {7, 313}, {159, 417}, {117, 331}, {33, 287}, {57, 263}, {91,
357}, {77, 370}, {142, 433}, {130, 445}, {229, 474}, {78, 270}, {148, 468},
{234, 426}, {9, 328}, {197, 388}, {231, 422}, {76, 270}, {5, 326}, {58, 377},
{187, 504}, {203, 392}, {207, 396}, {227, 416}, {29, 345}, {186, 510}, {191,
507}, {219, 415}, {238, 426}, {23, 338}, {155, 478}, {149, 464}, {118, 307},
{50, 375}, {175, 490}, {216, 413}, {146, 468}, {217, 415}, {219, 413}, {21,
338}, {249, 446}, {41, 366}, {171, 492}, {221, 410}, {142, 454}, {207, 391},
{39, 366}, {44, 357}, {105, 288}, {219, 402}, {40, 354}, {123, 305}, {205, 391},
{224, 426}, {27, 336}, {156, 471}, {88, 275}, {184, 499}, {214, 413}, {15, 323},
{95, 275}, {222, 402}, {150, 475}, {167, 490}, {170, 487}, {36, 362}, {153,
471}, {185, 503}, {232, 422}, {253, 434}, {81, 257}, {144, 448}, {139, 475},
{133, 469}, {214, 390}, {221, 397}, {80, 257}, {103, 310}, {169, 504}, {182,
487}, {2, 336}, {119, 293}, {61, 367}, {236, 446}, {86, 261}, {181, 486}, {191,
492}, {212, 391}, {237, 446}, {23, 323}, {64, 276}, {98, 310}, {185, 493}, {73,
284}, {121, 300}, {191, 490}, {80, 262}, {252, 426}, {245, 419}, {107, 317},
{187, 493}, {208, 390}, {23, 320}, {74, 285}, {177, 486}, {218, 397}, {243,
420}, {10, 338}, {51, 363}, {54, 366}, {90, 258}, {52, 365}, {140, 469}, {126,
295}, {62, 359}, {71, 286}, {87, 270}, {113, 296}, {195, 410}, {56, 354}, {132,
478}, {99, 312}, {248, 419}, {233, 434}, {179, 495}, {208, 396}, {13, 336}, {25,
324}, {55, 362}, {64, 285}, {12, 338}, {254, 416}, {19, 333}, {18, 333}, {251,
420}, {154, 453}, {143, 464}, {121, 294}, {103, 312}, {164, 507}, {225, 446},
{11, 363}, {144, 496}, {42, 330}, {45, 333}, {178, 466}, {198, 422}, {228, 388},
{2, 355}, {55, 342}, {61, 348}, {181, 468}, {186, 475}, {196, 421}, {1, 355},
{41, 331}, {193, 419}, {11, 360}, {155, 504}, {152, 507}, {128, 483}, {32, 323},
{110, 269}, {196, 423}, {227, 384}, {34, 326}, {251, 415}, {133, 481}, {131,
487}, {126, 282}, {98, 262}, {228, 384}, {72, 301}, {130, 487}, {112, 277},
{176, 469}, {194, 423}, {227, 390}, {18, 372}, {132, 482}, {36, 322}, {43, 333},
{53, 339}, {94, 312}, {107, 269}, {97, 262}, {138, 493}, {114, 277}, {11, 355},
{34, 330}, {98, 266}, {35, 330}, {42, 323}, {91, 306}, {172, 453}, {27, 369},
{115, 281}, {76, 294}, {254, 405}, {65, 301}, {115, 287}, {237, 385}, {239,
387}, {7, 362}, {150, 507}, {47, 322}, {74, 295}, {233, 388}, {238, 387}, {62,
336}, {147, 509}, {143, 481}, {200, 422}, {27, 372}, {49, 321}, {226, 402},
{239, 415}, {44, 349}, {127, 270}, {49, 320}, {78, 319}, {89, 296}, {165, 468},
{25, 363}, {48, 322}, {67, 305}, {85, 295}, {162, 464}, {231, 405}, {7, 372},
{24, 363}, {230, 405}, {35, 343}, {245, 385}, {105, 285}, {212, 416}, {22, 355},
{93, 296}, {104, 285}, {111, 281}, {161, 471}, {152, 494}, {119, 257}, {65,
310}, {157, 490}, {127, 264}, {165, 466}, {178, 453}, {214, 417}, {15, 375},
{121, 257}, {32, 344}, {63, 326}, {127, 262}, {117, 271}, {217, 419}, {2, 377},
{247, 396}, {64, 315}, {159, 482}, {231, 410}, {45, 339}, {67, 317}, {92, 290},
{171, 469}, {237, 403}, {90, 293}, {255, 384}, {135, 504}, {93, 290}, {46, 430},
{246, 374}, {113, 497}, {51, 435}, {97, 481}, {95, 478}, {177, 304}, {233, 360},
{69, 455}, {99, 481}, {182, 308}, {218, 344}, {229, 359}, {124, 511}, {128,
259}, {229, 358}, {4, 384}, {146, 278}, {139, 271}, {134, 258}, {9, 397}, {31,
411}, {48, 436}, {61, 441}, {63, 443}, {100, 480}, {183, 307}, {213, 337}, {54,
435}, {70, 451}, {91, 478}, {204, 329}, {68, 450}, {252, 378}, {76, 458}, {79,
457}, {94, 472}, {166, 288}, {17, 406}, {122, 509}, {166, 289}, {169, 302},
{176, 311}, {183, 304}, {185, 318}, {19, 411}, {80, 472}, {188, 308}, {242,
378}, {162, 299}, {168, 289}, {239, 358}, {73, 451}, {144, 282}, {60, 439},
{137, 258}, {222, 341}, {223, 340}, {242, 377}, {9, 389}, {250, 374}, {134,
266}, {16, 412}, {46, 418}, {59, 439}, {165, 297}, {69, 456}, {163, 302}, {243,
382}, {244, 377}, {15, 385}, {70, 456}, {87, 473}, {14, 385}, {128, 271}, {26,
405}, {109, 509}, {149, 261}, {129, 273}, {187, 299}, {203, 347}, {238, 382},
{39, 438}, {122, 491}, {110, 511}, {202, 347}, {14, 412}, {151, 261}, {68, 470},
{86, 452}, {93, 463}, {236, 382}, {8, 411}, {144, 259}, {98, 497}, {7, 403},
{118, 482}, {33, 437}, {22, 387}, {25, 396}, {167, 306}, {192, 341}, {201, 348},
{234, 383}, {32, 438}, {140, 282}, {116, 482}, {88, 462}, {194, 340}, {34, 437},
{39, 432}, {205, 341}, {208, 328}, {102, 511}, {156, 261}, {154, 259}, {145,
264}, {108, 501}, {165, 316}, {170, 307}, {71, 477}, {153, 259}, {113, 491},
{43, 432}, {252, 359}, {70, 477}, {206, 341}, {211, 328}, {225, 378}, {230,
381}, {235, 368}, {82, 462}, {90, 454}, {191, 291}, {48, 429}, {162, 319}, {51,
430}, {63, 418}, {194, 351}, {204, 337}, {21, 395}, {125, 483}, {26, 388}, {40,
438}, {183, 297}, {241, 367}, {66, 477}, {124, 483}, {109, 498}, {110, 497},
{16, 432}, {136, 296}, {134, 294}, {201, 360}, {212, 373}, {22, 436}, {142,
300}, {135, 293}, {130, 288}, {123, 473}, {40, 394}, {82, 496}, {169, 267},
{195, 353}, {216, 378}, {243, 337}, {38, 389}, {255, 348}, {64, 483}, {242,
337}, {77, 489}, {173, 265}, {237, 329}, {18, 439}, {28, 441}, {60, 409}, {77,
488}, {84, 497}, {180, 273}, {86, 496}, {102, 448}, {211, 373}, {62, 409}, {140,
299}, {79, 488}, {109, 458}, {120, 464}, {129, 297}, {170, 258}, {190, 278},
{34, 395}, {150, 319}, {145, 312}, {139, 290}, {96, 457}, {184, 273}, {224,
329}, {241, 344}, {28, 438}, {29, 439}, {197, 367}, {202, 352}, {6, 429}, {133,
302}, {114, 473}, {11, 416}, {17, 442}, {20, 447}, {163, 264}, {175, 260}, {23,
443}, {72, 484}, {99, 463}, {163, 271}, {164, 264}, {188, 272}, {192, 364},
{232, 324}, {73, 484}, {106, 455}, {210, 383}, {140, 290}, {247, 345}, {190,
272}, {216, 374}, {152, 311}, {190, 273}, {15, 447}, {153, 297}, {206, 382},
{233, 345}, {90, 491}, {117, 452}, {184, 265}, {72, 506}, {149, 295}, {28, 431},
{159, 300}, {57, 394}, {83, 480}, {175, 283}, {176, 260}, {210, 358}, {94, 491},
{9, 447}, {20, 418}, {186, 268}, {189, 267}, {14, 441}, {136, 319}, {187, 268},
{209, 358}, {223, 360}, {44, 404}, {138, 306}, {120, 448}, {46, 406}, {61, 389},
{200, 368}, {206, 374}, {240, 328}, {29, 420}, {253, 324}, {141, 308}, {45,
404}, {198, 383}, {3, 441}, {116, 462}, {21, 431}, {30, 420}, {107, 465}, {199,
381}, {214, 364}, {230, 348}, {4, 447}, {158, 293}, {14, 437}, {212, 367}, {17,
429}, {42, 406}, {170, 278}, {204, 368}, {36, 409}, {123, 454}, {108, 465},
{146, 300}, {158, 288}, {164, 282}, {60, 387}, {246, 329}, {69, 506}, {79, 496},
{224, 351}, {41, 489}, {50, 498}, {63, 511}, {219, 283}, {6, 455}, {53, 500},
{110, 431}, {197, 260}, {52, 502}, {248, 314}, {83, 401}, {189, 383}, {201,
267}, {87, 404}, {157, 350}, {54, 498}, {129, 325}, {112, 436}, {241, 309}, {56,
509}, {136, 334}, {166, 352}, {179, 373}, {5, 450}, {127, 440}, {13, 458}, {66,
389}, {228, 291}, {88, 400}, {94, 406}, {6, 460}, {85, 414}, {245, 318}, {96,
427}, {56, 500}, {180, 376}, {30, 467}, {111, 418}, {168, 357}, {2, 460}, {3,
461}, {86, 408}, {101, 427}, {141, 349}, {176, 352}, {203, 283}, {217, 265},
{220, 268}, {29, 460}, {139, 346}, {66, 403}, {88, 393}, {193, 272}, {235, 314},
{16, 450}, {151, 325}, {89, 395}, {231, 309}, {174, 381}, {247, 292}, {223,
268}, {8, 476}, {104, 444}, {167, 371}, {181, 353}, {208, 260}, {232, 316}, {91,
398}, {143, 346}, {130, 343}, {126, 427}, {166, 371}, {180, 353}, {103, 433},
{125, 427}, {221, 267}, {230, 304}, {75, 412}, {172, 379}, {148, 332}, {160,
376}, {100, 445}, {107, 434}, {169, 368}, {12, 470}, {50, 488}, {18, 457}, {59,
480}, {80, 395}, {205, 278}, {103, 443}, {115, 431}, {226, 318}, {70, 411},
{171, 373}, {45, 498}, {145, 334}, {108, 435}, {22, 502}, {255, 287}, {249,
281}, {147, 371}, {38, 455}, {248, 281}, {84, 437}, {181, 340}, {59, 473}, {124,
414}, {95, 445}, {173, 335}, {95, 444}, {119, 404}, {172, 335}, {1, 485}, {13,
489}, {24, 508}, {43, 463}, {93, 440}, {125, 408}, {92, 442}, {185, 351}, {199,
289}, {35, 452}, {156, 379}, {41, 462}, {198, 289}, {30, 502}, {250, 274}, {89,
433}, {183, 351}, {225, 265}, {31, 502}, {149, 380}, {179, 346}, {199, 302},
{202, 291}, {33, 459}, {68, 430}, {81, 443}, {174, 324}, {223, 309}, {31, 500},
{142, 357}, {32, 459}, {81, 442}, {209, 314}, {207, 291}, {210, 318}, {220,
304}, {244, 280}, {43, 454}, {161, 332}, {48, 477}, {62, 467}, {198, 299}, {100,
394}, {27, 500}, {160, 335}, {47, 448}, {101, 394}, {216, 311}, {240, 287}, {92,
428}, {195, 307}, {96, 401}, {131, 370}, {79, 445}, {125, 399}, {106, 409},
{136, 379}, {111, 412}, {188, 335}, {78, 442}, {89, 429}, {184, 332}, {192,
308}, {49, 452}, {134, 371}, {119, 386}, {65, 436}, {175, 346}, {201, 316}, {68,
434}, {154, 364}, {168, 350}, {193, 311}, {238, 280}, {56, 463}, {138, 381},
{120, 399}, {236, 283}, {16, 488}, {75, 435}, {105, 401}, {163, 347}, {196,
316}, {220, 292}, {5, 508}, {162, 347}, {157, 356}, {12, 501}, {105, 400}, {221,
292}, {3, 505}, {19, 489}, {38, 476}, {84, 430}, {174, 340}, {200, 306}, {55,
460}, {155, 352}, {151, 364}, {57, 450}, {36, 472}, {128, 380}, {76, 432}, {236,
272}, {37, 472}, {156, 353}, {52, 457}, {52, 458}, {31, 480}, {155, 356}, {161,
512}, {188, 512}, {197, 512}, {215, 512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 274}
under the group generated by the following permutations:
a: (3, 240)(4, 241)(7, 73)(8, 72)(9, 218)(13, 27)(14, 33)(15, 32)(16, 57)(18,
59)(19, 114)(20, 111)(28, 115)(31, 52)(38, 69)(39, 67)(40, 50)(41, 82)(43,
123)(45, 87)(53, 76)(54, 75)(56, 109)(61, 255)(66, 70)(77, 101)(78, 92)(79,
100)(83, 96)(86, 117)(93, 136)(97, 127)(99, 145)(120, 144)(125, 128)(126,
149)(129, 153)(133, 163)(139, 150)(140, 162)(143, 164)(151, 160)(152, 179)(154,
172)(156, 180)(161, 184)(171, 203)(173, 214)(175, 191)(176, 202)(188, 192)(190,
205)(193, 222)(197, 228)(206, 236)(207, 208)(211, 215)(212, 227)(216, 225)(217,
219)(226, 245)(237, 246)(248, 256)(249, 250)(259, 399)(260, 291)(261, 376)(263,
412)(264, 481)(265, 413)(270, 339)(271, 408)(272, 341)(273, 471)(274, 281)(282,
464)(283, 492)(284, 372)(287, 441)(290, 319)(305, 432)(311, 495)(313, 484)(325,
428)(327, 366)(328, 461)(331, 496)(333, 473)(334, 463)(335, 364)(344, 447)(346,
507)(347, 469)(354, 498)(365, 411)(367, 384)(369, 489)(373, 494)(374, 446)(375,
438)(379, 440)(380, 427)(385, 459)(389, 456)(390, 391)(394, 488)(402, 419)(403,
451)(457, 480)(458, 500)(476, 506)(499, 512) (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: (2, 211, 10, 221)(3, 239)(4, 251, 61, 229)(5, 220, 22, 215)(6, 179, 67,
195)(7, 217, 28, 210)(8, 219, 14, 209)(9, 244)(11, 253, 26, 247)(12, 201, 62,
228)(13, 192, 23, 169)(15, 235, 38, 222)(16, 177, 65, 203)(17, 91, 123, 170)(18,
173, 110, 198)(19, 214, 84, 199)(20, 185, 66, 193)(21, 189, 27, 184)(24, 232,
60, 207)(29, 212, 107, 231)(30, 197, 108, 223)(31, 161, 34, 186)(32, 204, 73,
206)(33, 224, 70, 216)(35, 139, 83, 156)(36, 191, 40, 165)(37, 175, 75, 181)(39,
178, 55, 171)(41, 154, 74, 133)(42, 200, 59, 205)(43, 137, 98, 168)(44, 142, 90,
134)(45, 159, 113, 166)(46, 138, 114, 190)(47, 164, 101, 129)(48, 152, 57,
183)(49, 163, 77, 151)(50, 196, 106, 202)(51, 174, 58, 208)(52, 188, 63,
187)(53, 118, 89, 158)(54, 194, 71, 176)(56, 148, 80, 157)(64, 143, 82, 180)(68,
230, 112, 227)(69, 225, 115, 234)(72, 236, 111, 213)(76, 141, 103, 135)(78, 95,
145, 131)(79, 160, 124, 162)(81, 155, 109, 182)(85, 150, 100, 153)(86, 117, 128,
149)(87, 146, 94, 167)(88, 127, 104, 99)(92, 132, 136, 130)(93, 105, 97,
116)(96, 172, 102, 140)(119, 121, 122, 147)(120, 144, 126, 125)(218, 242, 240,
238)(226, 237, 248, 250)(233, 254)(241, 243)(245, 256)(252, 255)(257, 356, 509,
386)(258, 266, 357, 454)(259, 295, 408, 331)(260, 435, 340, 286)(261, 452, 271,
380)(262, 350, 463, 400)(263, 351, 477, 311)(264, 370, 325, 275)(265, 431, 383,
372)(267, 336, 499, 338)(268, 502, 512, 326)(269, 422, 439, 391)(270, 444, 312,
393)(272, 418, 493, 365)(273, 276, 425, 369)(274, 318, 403, 419)(277, 390, 430,
381)(278, 406, 306, 473)(279, 292, 355, 485)(280, 397, 377, 328)(281, 479, 506,
446)(282, 427, 399, 448)(283, 412, 486, 301)(284, 341, 323, 368)(285, 481, 462,
440)(287, 426, 456, 378)(288, 339, 482, 296)(289, 333, 417, 497)(290, 401, 379,
343)(291, 303, 316, 409)(293, 294, 349, 433)(297, 322, 507, 394)(298, 396, 363,
324)(299, 457, 335, 511)(300, 491, 371, 404)(302, 489, 364, 320)(304, 436, 494,
450)(305, 307, 429, 398)(308, 443, 504, 458)(309, 420, 367, 465)(310, 392, 432,
424)(313, 415, 441, 358)(314, 476, 402, 385)(315, 346, 327, 353)(317, 410, 460,
373)(319, 445, 428, 414)(321, 347, 488, 421)(329, 451, 374, 459)(330, 475, 480,
471)(332, 395, 407, 500)(334, 487, 442, 478)(337, 484, 382, 344)(342, 469, 366,
453)(345, 416, 434, 405)(348, 359, 384, 470)(352, 498, 423, 361)(354, 468, 472,
490)(360, 467, 388, 501)(362, 492, 438, 466)(375, 449, 455, 495)(376, 483, 464,
496)(387, 461, 508, 505)(389, 474, 447, 503)(411, 413, 437, 510)
c: (2, 22)(3, 9)(4, 61)(5, 10)(6, 31)(7, 66)(8, 38)(12, 68)(13, 65)(14, 15)(16,
23)(17, 56)(18, 71)(19, 106)(20, 28)(21, 57)(24, 51)(27, 48)(29, 30)(32,
111)(33, 115)(34, 67)(35, 83)(36, 114)(37, 59)(39, 63)(40, 46)(41, 124)(42,
75)(43, 81)(44, 122)(45, 113)(47, 101)(49, 77)(50, 84)(52, 55)(53, 89)(54,
110)(58, 60)(62, 112)(64, 100)(69, 70)(72, 73)(74, 79)(76, 103)(78, 99)(80,
123)(82, 85)(86, 149)(87, 94)(88, 131)(90, 119)(91, 157)(92, 93)(95, 104)(96,
102)(97, 136)(98, 109)(105, 130)(107, 108)(116, 132)(117, 128)(120, 125)(121,
142)(126, 144)(127, 145)(133, 162)(134, 147)(137, 182)(138, 191)(143, 150)(148,
170)(152, 189)(153, 180)(154, 160)(155, 168)(161, 195)(165, 190)(169, 203)(171,
187)(173, 194)(174, 207)(175, 200)(176, 198)(177, 192)(178, 188)(179, 186)(181,
205)(183, 184)(185, 217)(193, 210)(196, 214)(197, 231)(199, 202)(201, 227)(204,
236)(206, 213)(208, 232)(209, 222)(211, 220)(212, 223)(215, 221)(216, 234)(219,
235)(224, 225)(226, 248)(228, 230)(233, 254)(238, 242)(239, 244)(246, 249)(247,
253)(257, 454)(258, 386)(259, 376)(260, 422)(262, 334)(263, 431)(265, 351)(266,
509)(267, 494)(268, 373)(269, 435)(270, 312)(272, 466)(273, 297)(275, 370)(276,
394)(277, 409)(278, 468)(280, 508)(281, 459)(283, 368)(284, 301)(285, 445)(286,
439)(289, 352)(291, 381)(292, 485)(294, 433)(295, 496)(296, 339)(299, 469)(302,
347)(303, 430)(304, 499)(305, 395)(306, 490)(307, 332)(308, 424)(309, 367)(310,
458)(311, 383)(313, 389)(314, 402)(315, 480)(316, 390)(317, 326)(318, 419)(319,
481)(320, 488)(321, 489)(322, 369)(323, 412)(324, 396)(327, 330)(328, 505)(329,
446)(331, 483)(333, 361)(335, 453)(336, 436)(337, 382)(338, 450)(340, 391)(341,
486)(342, 457)(343, 401)(345, 467)(346, 475)(348, 384)(350, 478)(353, 471)(354,
406)(356, 357)(358, 474)(360, 416)(362, 365)(364, 421)(366, 511)(372, 477)(374,
479)(375, 437)(377, 387)(378, 426)(380, 452)(388, 405)(392, 504)(397, 461)(398,
407)(400, 487)(404, 491)(408, 464)(410, 512)(411, 455)(413, 449)(414, 462)(415,
503)(417, 423)(418, 438)(425, 507)(427, 448)(428, 440)(429, 500)(432, 443)(434,
501)(441, 447)(442, 463)(451, 506)(460, 502)(472, 473)(492, 493)(495, 510)(497,
498)
d: (2, 5)(3, 240, 9, 218)(4, 255, 61, 241)(6, 16, 55, 57)(7, 33, 38, 111)(8,
115, 66, 32)(10, 22)(11, 26)(12, 30)(13, 63, 27, 34)(14, 73, 20, 69)(15, 70, 28,
72)(17, 43, 98, 123)(18, 84, 59, 46)(19, 110, 114, 42)(21, 52, 23, 31)(24,
58)(29, 68)(35, 77, 102, 101)(36, 54, 106, 75)(37, 50, 71, 40)(39, 65, 67,
48)(41, 124, 82, 85)(44, 90)(45, 113, 87, 94)(47, 96, 49, 83)(51, 60)(53, 89,
76, 103)(56, 80, 109, 81)(62, 108)(64, 79, 74, 100)(78, 99, 97, 136)(86, 149,
120, 125)(88, 132)(91, 137)(92, 93, 127, 145)(95, 105)(104, 130)(107, 112)(116,
131)(117, 128, 144, 126)(118, 135)(119, 122)(121, 147)(129, 133, 156, 162)(134,
142)(138, 173, 200, 214)(139, 154, 164, 160)(140, 180, 163, 153)(141, 158)(143,
172, 150, 151)(146, 166)(148, 155)(152, 177, 179, 178)(157, 182)(159, 167)(161,
187, 184, 169)(165, 176, 181, 202)(168, 170)(171, 195, 203, 183)(174, 207, 232,
208)(175, 194, 191, 196)(185, 217, 235, 219)(186, 192, 189, 188)(190, 199, 205,
198)(193, 209, 222, 210)(197, 223, 228, 201)(204, 216, 213, 225)(206, 234, 236,
224)(211, 221, 215, 220)(212, 231, 227, 230)(226, 245, 248, 256)(237, 246, 250,
249)(239, 244)(243, 252)(247, 253)(257, 509)(258, 357)(259, 282, 376, 271)(260,
340, 291, 316)(261, 464, 399, 408)(262, 334, 442, 463)(263, 455, 412, 362)(264,
428, 290, 440)(265, 368, 413, 493)(266, 454)(267, 512, 268, 499)(269, 277)(270,
312, 339, 296)(272, 510, 341, 383)(273, 302, 471, 299)(274, 506, 385, 451)(275,
401)(276, 457, 320, 480)(278, 289)(279, 355)(280, 387)(281, 403, 459, 476)(283,
351, 492, 449)(284, 418, 372, 437)(285, 445)(286, 303)(287, 389, 344, 313)(288,
444)(292, 485)(293, 349)(294, 433)(295, 331, 483, 496)(297, 469, 353, 347)(298,
363)(300, 371)(301, 375, 477, 438)(304, 373, 410, 494)(305, 429, 432, 310)(306,
417)(307, 392)(308, 407)(309, 384, 348, 367)(311, 486, 495, 466)(314, 402, 318,
419)(315, 488, 342, 394)(317, 436)(319, 325, 481, 379)(321, 327, 322, 366)(323,
411, 431, 365)(324, 396)(326, 336)(328, 397, 461, 505)(329, 374, 479, 446)(330,
489, 511, 369)(332, 504)(333, 497, 473, 406)(335, 475, 364, 425)(337, 378)(338,
502)(343, 370)(345, 434)(346, 453, 507, 421)(350, 487)(352, 468)(354, 472, 498,
361)(356, 386)(358, 474)(359, 465)(360, 388)(377, 508)(380, 448, 427, 452)(381,
391, 422, 390)(382, 426)(393, 482)(395, 458, 443, 500)(398, 424)(400, 478)(404,
491)(405, 416)(409, 435)(414, 462)(415, 503)(420, 470)(423, 490)(430, 439)(441,
484, 447, 456)(450, 460)(467, 501)
e: (1, 2, 6, 17, 44, 91, 138, 174, 25, 60, 36, 80, 121, 157, 186, 220)(3, 10,
13, 35, 92, 141, 152, 185, 9, 24, 18, 47, 127, 159, 175, 209)(4, 12, 52, 102,
93, 137, 203, 235, 61, 107, 19, 49, 145, 182, 176, 210)(5, 27, 64, 78, 118, 179,
213, 218, 51, 59, 85, 97, 146, 191, 224, 240)(7, 21, 76, 116, 139, 177, 215,
244, 38, 42, 45, 95, 164, 194, 208, 239)(8, 23, 109, 130, 140, 178, 227, 251,
66, 110, 43, 88, 163, 196, 197, 229)(11, 29, 48, 98, 142, 167, 199, 232, 26, 62,
37, 81, 122, 158, 187, 221)(14, 67, 77, 86, 153, 192, 216, 226, 20, 40, 96, 120,
180, 173, 236, 248)(15, 50, 79, 144, 154, 214, 219, 256, 28, 39, 41, 117, 160,
188, 193, 245)(16, 82, 128, 151, 161, 222, 250, 32, 54, 100, 126, 172, 190, 217,
237, 115)(22, 55, 89, 134, 168, 200, 230, 253, 58, 106, 94, 119, 155, 189, 223,
247)(30, 71, 113, 90, 135, 169, 201, 233, 112, 65, 103, 147, 166, 198, 231,
254)(31, 74, 136, 170, 171, 204, 255, 68, 114, 124, 99, 148, 202, 234, 241,
108)(33, 57, 101, 125, 129, 184, 225, 249, 111, 75, 83, 149, 156, 205, 206,
246)(34, 53, 104, 150, 183, 211, 242, 69, 46, 87, 132, 143, 181, 207, 238,
73)(56, 105, 162, 195, 212, 243, 70, 84, 123, 131, 133, 165, 228, 252, 72,
63)(257, 356, 407, 268, 292, 355, 460, 429, 266, 357, 306, 381, 324, 298, 409,
472)(258, 392, 368, 348, 434, 277, 321, 312, 386, 352, 383, 309, 501, 502, 342,
296)(259, 364, 413, 402, 274, 438, 366, 331, 376, 335, 272, 419, 385, 375, 488,
496)(260, 358, 313, 338, 458, 343, 290, 424, 494, 503, 389, 269, 333, 275, 264,
423)(261, 471, 341, 374, 459, 263, 394, 427, 399, 273, 265, 446, 281, 412, 327,
380)(262, 300, 490, 510, 505, 279, 336, 315, 442, 349, 398, 493, 397, 363, 439,
322)(267, 360, 345, 436, 310, 433, 371, 289, 422, 405, 467, 286, 361, 491, 293,
504)(270, 482, 346, 486, 461, 280, 284, 330, 339, 444, 507, 351, 328, 508, 372,
276)(271, 421, 512, 474, 476, 323, 498, 445, 282, 453, 390, 415, 403, 431, 432,
462)(278, 492, 329, 287, 450, 369, 483, 325, 332, 495, 479, 344, 435, 480, 295,
379)(283, 314, 441, 317, 489, 452, 428, 308, 311, 318, 447, 303, 457, 448, 440,
417)(285, 319, 307, 373, 337, 456, 430, 473, 414, 481, 468, 291, 426, 484, 326,
500)(288, 299, 410, 416, 420, 477, 497, 454, 393, 302, 316, 388, 359, 301, 443,
509)(294, 350, 475, 304, 485, 377, 455, 406, 404, 478, 425, 340, 396, 387, 362,
395)(297, 499, 378, 506, 418, 354, 401, 464, 353, 391, 382, 451, 437, 305, 370,
408)(320, 334, 487, 469, 466, 384, 470, 365, 511, 463, 400, 347, 449, 367, 465,
411)
f: (2, 22)(6, 48)(7, 8)(13, 52)(18, 19)(27, 31)(29, 112)(30, 62)(35, 85)(36,
37)(38, 66)(41, 96)(47, 64)(49, 74)(55, 65)(58, 60)(59, 114)(69, 70)(71,
106)(72, 73)(77, 79)(82, 83)(86, 149)(88, 105)(91, 168)(95, 104)(100, 101)(102,
124)(116, 132)(117, 126)(120, 125)(128, 144)(130, 131)(133, 143)(135, 158)(138,
199)(139, 140)(150, 162)(152, 203)(155, 157)(163, 164)(166, 167)(169, 189)(171,
179)(175, 176)(185, 224)(186, 187)(191, 202)(193, 236)(198, 200)(204, 210)(206,
222)(209, 213)(216, 219)(217, 225)(226, 246)(229, 243)(234, 235)(237, 245)(238,
244)(239, 242)(248, 249)(250, 256)(251, 252)(271, 282)(275, 285)(277, 439)(283,
311)(284, 365)(286, 409)(288, 393)(289, 306)(295, 452)(299, 475)(301, 362)(302,
425)(314, 479)(315, 322)(318, 329)(321, 342)(331, 427)(336, 502)(337, 358)(343,
414)(346, 469)(347, 507)(350, 478)(352, 490)(359, 420)(368, 383)(369, 480)(370,
445)(372, 411)(374, 402)(377, 387)(378, 415)(380, 496)(382, 474)(392, 398)(401,
462)(403, 476)(407, 504)(408, 464)(419, 446)(426, 503)(436, 460)(448, 483)(451,
506)(455, 477)(457, 489)(492, 495)(493, 510)
g: (2, 22)(5, 10)(6, 48)(7, 8)(12, 108)(13, 52)(14, 28)(15, 20)(16, 39)(18,
19)(21, 34)(23, 63)(24, 51)(27, 31)(29, 112)(30, 62)(32, 111)(33, 115)(35,
47)(36, 37)(38, 66)(40, 75)(41, 79)(42, 46)(49, 102)(50, 54)(55, 65)(57, 67)(58,
60)(59, 114)(64, 85)(68, 107)(69, 70)(71, 106)(72, 73)(74, 124)(77, 96)(82,
100)(83, 101)(84, 110)(86, 120)(88, 130)(91, 168)(95, 116)(104, 132)(105,
131)(117, 144)(118, 141)(125, 149)(126, 128)(129, 151)(133, 143)(135, 158)(137,
170)(138, 199)(139, 140)(146, 159)(148, 182)(150, 162)(152, 203)(153, 160)(154,
180)(155, 157)(156, 172)(161, 188)(163, 164)(165, 196)(166, 167)(169, 189)(171,
179)(173, 205)(175, 176)(177, 183)(178, 195)(181, 194)(184, 192)(185, 209)(186,
187)(190, 214)(191, 202)(193, 219)(198, 200)(204, 234)(206, 225)(210, 235)(213,
224)(216, 236)(217, 222)(226, 248)(229, 251)(237, 250)(238, 242)(239, 244)(243,
252)(245, 256)(246, 249)(259, 376)(261, 399)(263, 375)(265, 341)(269, 430)(271,
282)(272, 413)(273, 364)(274, 385)(275, 343)(276, 330)(277, 439)(278, 417)(280,
508)(281, 459)(283, 311)(284, 365)(285, 414)(286, 409)(288, 393)(289, 306)(295,
483)(297, 421)(299, 475)(301, 362)(302, 425)(303, 435)(307, 424)(308, 332)(314,
318)(315, 322)(317, 450)(320, 511)(321, 342)(323, 418)(326, 338)(327, 394)(329,
479)(331, 496)(335, 471)(336, 502)(337, 426)(346, 469)(347, 507)(350, 478)(351,
486)(352, 490)(353, 453)(358, 503)(359, 420)(366, 488)(368, 383)(369, 480)(370,
401)(372, 411)(374, 446)(377, 387)(378, 382)(380, 427)(392, 398)(400, 487)(402,
419)(403, 476)(407, 504)(408, 464)(412, 438)(415, 474)(423, 468)(431, 437)(436,
460)(444, 482)(445, 462)(448, 452)(449, 466)(451, 506)(455, 477)(457, 489)(465,
470)(492, 495)(493, 510)
C4[ 512, 491 ]
512
-1 485 355 279 292
-2 355 377 336 460
-3 441 313 461 505
-4 309 313 447 384
-5 508 279 326 450
-6 429 455 315 460
-7 313 403 372 362
-8 476 301 411 313
-9 397 389 447 328
-10 279 280 338 317
-11 363 355 360 416
-12 303 501 338 470
-13 489 336 458 284
-14 385 441 412 437
-15 385 375 323 447
-16 432 488 412 450
-17 429 266 442 406
-18 333 457 372 439
-19 277 333 411 489
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-21 276 431 338 395
-22 387 355 436 502
-23 320 443 323 338
-24 363 508 269 303
-25 363 396 298 324
-26 298 388 279 405
-27 500 336 369 372
-28 441 431 438 274
-29 420 345 460 439
-30 286 420 467 502
-31 411 500 480 502
-32 344 323 459 438
-33 287 437 459 263
-34 330 326 437 395
-35 330 452 343 315
-36 409 322 362 472
-37 286 301 315 472
-38 476 389 455 284
-39 366 432 317 438
-40 354 303 394 438
-41 462 331 366 489
-42 330 323 269 406
-43 463 333 432 454
-44 266 357 349 404
-45 333 498 404 339
-46 418 276 430 406
-47 275 276 322 448
-48 429 322 477 436
-49 275 320 452 321
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-51 363 430 280 435
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-54 366 498 435 263
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-56 463 354 509 500
-57 305 394 263 450
-58 286 298 277 377
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-61 441 367 389 348
-62 409 467 336 359
-63 418 443 511 326
-64 276 315 285 483
-65 310 321 301 436
-66 365 389 477 403
-67 375 305 327 317
-68 430 434 470 450
-69 506 455 456 372
-70 451 411 477 456
-71 286 342 477 361
-72 484 506 365 301
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-76 432 270 458 294
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-80 257 262 395 472
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-83 401 380 480 327
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-88 275 462 400 393
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-126 376 282 295 427
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-171 392 469 492 373
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-176 352 311 260 469
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-203 347 392 283 494
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-207 396 291 391 461
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-212 367 391 416 373
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-218 397 344 456 461
-219 402 413 283 415
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-221 397 267 410 292
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-251 420 415 470 503
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-261 156 149 151 86
-262 80 127 97 98
-263 33 57 20 54
-264 145 127 163 164
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-266 44 134 17 98
-267 221 189 201 169
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-269 110 24 107 42
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-271 117 128 139 163
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-273 190 180 129 184
-274 256 28 250 20
-275 88 47 49 95
-276 46 47 64 21
-277 112 58 114 19
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-279 1 26 5 10
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-284 13 59 38 73
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-291 191 202 228 207
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-294 121 134 53 76
-295 126 149 74 85
-296 89 113 136 93
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-301 37 72 8 65
-302 133 199 169 163
-303 12 24 50 40
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-311 176 193 216 152
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-313 3 4 7 8
-314 209 256 235 248
-315 35 37 6 64
-316 165 232 201 196
-317 67 39 107 10
-318 210 245 226 185
-319 78 136 150 162
-320 23 49 84 74
-321 124 49 106 65
-322 36 47 48 85
-323 23 15 42 32
-324 253 232 25 174
-325 99 78 129 151
-326 34 5 63 108
-327 67 82 83 75
-328 211 9 240 208
-329 224 246 204 237
-330 34 35 85 42
-331 100 117 41 120
-332 148 161 118 184
-333 45 18 19 43
-334 123 145 136 109
-335 188 160 172 173
-336 2 13 27 62
-337 242 243 213 204
-338 12 23 10 21
-339 45 92 53 97
-340 223 181 194 174
-341 222 192 205 206
-342 55 102 71 74
-343 35 102 116 130
-344 111 218 32 241
-345 112 233 247 29
-346 143 179 139 175
-347 202 203 162 163
-348 255 201 61 230
-349 44 122 118 141
-350 157 168 104 116
-351 224 183 194 185
-352 176 155 166 202
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-354 56 40 75 87
-355 11 22 1 2
-356 121 122 155 157
-357 44 91 168 142
-358 209 210 239 229
-359 112 62 229 252
-360 11 233 201 223
-361 113 81 71 106
-362 55 36 7 73
-363 11 24 25 51
-364 154 192 214 151
-365 66 114 72 52
-366 39 41 96 54
-367 212 61 197 241
-368 200 169 235 204
-369 101 114 27 82
-370 77 101 104 131
-371 166 134 167 147
-372 69 27 7 18
-373 211 179 212 171
-374 246 216 206 250
-375 67 15 115 50
-376 180 126 160 117
-377 242 2 244 58
-378 242 225 216 252
-379 156 136 172 97
-380 77 83 149 128
-381 199 138 174 230
-382 243 236 238 206
-383 198 210 189 234
-384 255 4 227 228
-385 14 245 15 237
-386 147 148 182 119
-387 22 60 238 239
-388 233 26 228 197
-389 66 38 61 9
-390 190 214 227 208
-391 212 205 173 207
-392 135 168 203 171
-393 88 167 135 131
-394 100 57 101 40
-395 34 89 80 21
-396 25 247 207 208
-397 221 9 174 218
-398 91 179 158 152
-399 125 172 129 120
-400 88 137 148 105
-401 132 83 105 96
-402 222 256 226 219
-403 66 256 237 7
-404 44 45 119 87
-405 231 254 26 230
-406 46 17 94 42
-407 189 157 158 186
-408 133 125 150 86
-409 36 60 62 106
-410 231 221 178 195
-411 70 8 19 31
-412 111 14 16 75
-413 214 161 216 219
-414 132 124 85 131
-415 217 239 251 219
-416 11 254 212 227
-417 137 159 214 173
-418 111 46 63 20
-419 245 193 248 217
-420 243 29 30 251
-421 177 160 151 196
-422 198 231 232 200
-423 159 182 194 196
-424 177 178 137 141
-425 143 189 138 164
-426 234 224 238 252
-427 101 125 126 96
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-433 89 103 147 142
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-437 33 34 14 84
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-443 23 81 103 63
-444 146 104 95 141
-445 100 79 95 130
-446 225 236 237 249
-447 4 15 9 20
-448 144 47 102 120
-449 234 235 195 196
-450 57 68 5 16
-451 70 246 248 73
-452 35 49 117 86
-453 154 178 172 194
-454 90 123 43 142
-455 69 38 6 106
-456 255 69 70 218
-457 79 18 52 96
-458 13 52 76 109
-459 33 246 226 32
-460 55 2 6 29
-461 3 215 207 218
-462 88 82 116 41
-463 99 56 93 43
-464 143 149 162 120
-465 243 107 108 229
-466 165 210 178 204
-467 253 254 62 30
-468 165 146 148 181
-469 176 133 171 140
-470 12 68 251 252
-471 156 161 205 153
-472 36 80 37 94
-473 123 59 114 87
-474 222 244 193 229
-475 200 139 150 186
-476 245 38 8 250
-477 66 48 70 71
-478 132 155 91 95
-479 234 213 249 250
-480 100 59 83 31
-481 99 143 133 97
-482 132 159 116 118
-483 124 125 128 64
-484 72 73 240 241
-485 253 1 211 215
-486 209 177 213 181
-487 170 182 130 131
-488 77 79 16 50
-489 77 13 19 41
-490 167 157 191 175
-491 122 90 113 94
-492 191 171 206 217
-493 187 213 138 185
-494 203 215 227 152
-495 222 179 202 225
-496 144 79 82 86
-497 110 113 84 98
-498 45 50 54 109
-499 211 192 184 228
-500 56 27 31 53
-501 12 254 247 108
-502 22 30 52 31
-503 244 235 185 251
-504 187 155 135 169
-505 220 232 3 240
-506 69 72 226 249
-507 191 150 152 164
-508 242 24 5 239
-509 56 122 147 109
-510 209 199 224 186
-511 110 102 124 63
-512 188 215 161 197
0