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