Graph forms
for C4 [ 512, 46 ] =
PL(Curtain_64(1,16,1,18,34),[4^64,8^32])
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On this page are computer-accessible forms for the graph C4[ 512, 46 ] =
PL(Curtain_64(1,16,1,18,34),[4^64,8^32]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 296}, {256, 324}, {256, 436}, {256, 473}, {1, 257}, {152,
408}, {3, 259}, {46, 302}, {177, 433}, {179, 435}, {237, 493}, {35, 290}, {162,
419}, {136, 393}, {40, 297}, {56, 313}, {57, 312}, {201, 456}, {19, 273}, {88,
346}, {94, 349}, {184, 443}, {224, 483}, {225, 482}, {29, 281}, {131, 391}, {39,
291}, {90, 350}, {177, 437}, {183, 435}, {217, 477}, {235, 495}, {4, 257}, {81,
340}, {231, 482}, {234, 495}, {5, 259}, {11, 269}, {170, 428}, {197, 451}, {9,
257}, {195, 459}, {231, 495}, {85, 348}, {114, 379}, {61, 311}, {146, 408}, {95,
341}, {170, 416}, {221, 471}, {8, 259}, {172, 423}, {189, 438}, {21, 281}, {107,
359}, {58, 311}, {75, 326}, {47, 289}, {247, 505}, {128, 398}, {206, 448}, {48,
288}, {205, 477}, {28, 269}, {71, 342}, {84, 325}, {226, 499}, {240, 481}, {243,
482}, {2, 272}, {17, 259}, {51, 289}, {110, 380}, {197, 471}, {209, 451}, {18,
257}, {137, 410}, {27, 264}, {30, 269}, {45, 318}, {54, 293}, {165, 438}, {24,
268}, {165, 433}, {180, 416}, {237, 505}, {12, 281}, {34, 311}, {59, 302}, {91,
334}, {220, 457}, {20, 258}, {212, 450}, {242, 484}, {50, 293}, {151, 384},
{147, 388}, {53, 290}, {55, 288}, {106, 381}, {176, 423}, {222, 457}, {223,
456}, {63, 295}, {184, 416}, {32, 313}, {248, 481}, {246, 495}, {162, 443}, {62,
295}, {105, 368}, {10, 272}, {254, 484}, {251, 481}, {157, 391}, {68, 350},
{169, 435}, {218, 448}, {64, 347}, {160, 443}, {157, 390}, {149, 398}, {89,
322}, {92, 327}, {186, 417}, {191, 420}, {76, 336}, {253, 481}, {163, 447},
{155, 390}, {194, 476}, {213, 459}, {220, 450}, {6, 281}, {133, 410}, {15, 272},
{41, 310}, {79, 367}, {25, 312}, {255, 478}, {134, 423}, {210, 499}, {239, 462},
{156, 446}, {219, 505}, {78, 365}, {250, 473}, {143, 428}, {122, 345}, {118,
341}, {93, 382}, {101, 326}, {7, 291}, {38, 258}, {221, 505}, {119, 338}, {124,
345}, {182, 403}, {191, 410}, {52, 274}, {148, 434}, {60, 282}, {97, 327}, {31,
312}, {249, 478}, {120, 351}, {74, 365}, {229, 450}, {238, 457}, {16, 312},
{151, 447}, {132, 428}, {117, 349}, {36, 268}, {235, 451}, {14, 295}, {160,
393}, {80, 377}, {178, 411}, {202, 483}, {229, 460}, {116, 350}, {154, 432},
{214, 508}, {243, 473}, {244, 478}, {65, 362}, {121, 338}, {173, 390}, {86,
378}, {153, 437}, {143, 419}, {141, 417}, {123, 343}, {87, 379}, {239, 451},
{113, 348}, {138, 423}, {173, 384}, {175, 386}, {13, 291}, {96, 334}, {244,
474}, {72, 359}, {145, 446}, {144, 447}, {134, 425}, {83, 380}, {108, 323}, {98,
338}, {254, 462}, {82, 355}, {248, 457}, {115, 322}, {111, 350}, {180, 389},
{232, 474}, {252, 462}, {102, 341}, {169, 410}, {241, 450}, {37, 273}, {255,
459}, {200, 508}, {208, 484}, {22, 291}, {249, 460}, {125, 328}, {23, 290}, {49,
260}, {69, 368}, {112, 325}, {109, 347}, {174, 408}, {44, 283}, {148, 419},
{127, 328}, {126, 329}, {164, 403}, {135, 447}, {226, 474}, {128, 441}, {247,
462}, {140, 437}, {183, 398}, {188, 389}, {42, 272}, {43, 273}, {215, 493},
{224, 474}, {227, 473}, {228, 478}, {33, 282}, {154, 417}, {70, 381}, {185,
386}, {99, 351}, {146, 430}, {192, 508}, {26, 295}, {156, 417}, {166, 411},
{223, 482}, {67, 381}, {245, 459}, {130, 444}, {100, 346}, {104, 342}, {194,
508}, {218, 484}, {150, 425}, {185, 390}, {1, 321}, {118, 310}, {39, 359}, {12,
333}, {96, 289}, {168, 489}, {3, 321}, {246, 436}, {158, 476}, {120, 314}, {228,
422}, {2, 321}, {33, 354}, {44, 367}, {98, 289}, {176, 499}, {205, 398}, {16,
340}, {47, 362}, {130, 455}, {59, 382}, {79, 266}, {94, 283}, {11, 333}, {166,
480}, {6, 321}, {159, 472}, {144, 471}, {129, 454}, {28, 347}, {64, 264}, {158,
470}, {115, 315}, {215, 415}, {4, 333}, {122, 307}, {40, 353}, {186, 499}, {27,
337}, {133, 463}, {58, 368}, {26, 337}, {67, 264}, {168, 483}, {198, 397}, {208,
411}, {216, 403}, {217, 402}, {72, 260}, {155, 471}, {81, 285}, {211, 415}, {34,
367}, {116, 313}, {55, 378}, {113, 316}, {35, 365}, {50, 380}, {101, 299}, {163,
493}, {105, 294}, {172, 483}, {77, 285}, {51, 354}, {142, 479}, {41, 379}, {132,
470}, {121, 299}, {49, 355}, {211, 385}, {7, 340}, {117, 294}, {62, 365}, {209,
386}, {5, 337}, {45, 377}, {78, 282}, {37, 368}, {68, 273}, {89, 268}, {102,
307}, {52, 354}, {106, 316}, {201, 415}, {42, 381}, {199, 400}, {204, 411}, {38,
382}, {74, 274}, {90, 258}, {111, 311}, {181, 493}, {204, 404}, {75, 274}, {112,
297}, {25, 323}, {149, 463}, {142, 468}, {32, 378}, {36, 382}, {219, 385}, {10,
337}, {138, 465}, {13, 342}, {203, 400}, {88, 260}, {141, 465}, {131, 479},
{200, 404}, {99, 318}, {103, 314}, {207, 402}, {57, 359}, {159, 449}, {126,
288}, {69, 283}, {190, 480}, {97, 318}, {135, 472}, {164, 507}, {182, 489},
{210, 397}, {92, 316}, {161, 449}, {139, 491}, {189, 477}, {222, 446}, {236,
396}, {107, 266}, {236, 397}, {214, 436}, {24, 379}, {153, 506}, {110, 269},
{171, 456}, {199, 420}, {225, 386}, {230, 389}, {241, 402}, {63, 347}, {196,
416}, {232, 396}, {119, 274}, {193, 420}, {233, 396}, {54, 336}, {125, 283},
{93, 315}, {167, 449}, {187, 477}, {230, 385}, {43, 323}, {252, 404}, {136,
480}, {129, 489}, {65, 297}, {8, 353}, {71, 302}, {80, 314}, {145, 507}, {104,
258}, {61, 342}, {251, 400}, {73, 293}, {192, 428}, {202, 422}, {86, 315}, {20,
378}, {100, 266}, {178, 476}, {14, 353}, {253, 402}, {16, 383}, {83, 316}, {114,
285}, {167, 456}, {9, 377}, {124, 268}, {19, 355}, {85, 293}, {175, 479}, {195,
435}, {196, 436}, {60, 333}, {139, 506}, {108, 285}, {213, 420}, {91, 297},
{174, 476}, {212, 422}, {53, 326}, {242, 385}, {66, 310}, {82, 294}, {171, 479},
{181, 449}, {193, 437}, {127, 266}, {161, 468}, {206, 443}, {15, 377}, {23,
353}, {76, 314}, {84, 290}, {21, 354}, {29, 362}, {109, 282}, {187, 460}, {7,
383}, {152, 480}, {70, 318}, {198, 446}, {22, 367}, {245, 396}, {87, 302}, {233,
400}, {46, 340}, {203, 433}, {17, 362}, {140, 503}, {31, 355}, {188, 448}, {227,
415}, {2, 383}, {238, 403}, {240, 397}, {1, 383}, {137, 503}, {190, 448}, {207,
433}, {216, 422}, {234, 404}, {95, 288}, {250, 389}, {150, 489}, {147, 492},
{123, 260}, {179, 460}, {8, 392}, {137, 265}, {40, 424}, {60, 444}, {108, 492},
{36, 421}, {123, 506}, {122, 507}, {42, 427}, {1, 387}, {157, 287}, {9, 395},
{59, 440}, {136, 267}, {121, 506}, {70, 453}, {91, 472}, {179, 304}, {41, 429},
{128, 261}, {168, 301}, {14, 392}, {44, 426}, {114, 500}, {226, 356}, {230,
352}, {4, 387}, {129, 262}, {84, 467}, {87, 464}, {21, 413}, {163, 299}, {158,
278}, {50, 442}, {111, 487}, {224, 360}, {238, 358}, {95, 470}, {97, 488}, {233,
352}, {27, 401}, {159, 277}, {156, 278}, {123, 497}, {34, 424}, {76, 454}, {99,
488}, {187, 304}, {133, 265}, {155, 279}, {26, 407}, {160, 301}, {125, 496},
{92, 465}, {190, 307}, {153, 279}, {22, 409}, {162, 301}, {36, 427}, {114, 509},
{176, 319}, {149, 261}, {150, 262}, {5, 407}, {142, 284}, {29, 399}, {37, 439},
{242, 352}, {54, 421}, {152, 267}, {100, 503}, {172, 319}, {30, 394}, {219,
335}, {78, 475}, {245, 352}, {134, 275}, {166, 307}, {220, 330}, {20, 387},
{237, 373}, {18, 395}, {138, 275}, {83, 458}, {103, 510}, {111, 502}, {225,
376}, {95, 453}, {145, 267}, {10, 401}, {147, 264}, {140, 279}, {57, 418}, {72,
467}, {182, 301}, {13, 401}, {211, 335}, {63, 418}, {102, 507}, {178, 303}, {17,
399}, {117, 491}, {38, 440}, {69, 475}, {90, 452}, {212, 330}, {74, 469}, {131,
284}, {102, 454}, {118, 470}, {200, 361}, {249, 344}, {234, 331}, {235, 330},
{15, 429}, {148, 310}, {141, 303}, {167, 261}, {171, 265}, {183, 277}, {202,
360}, {215, 373}, {68, 487}, {119, 468}, {191, 284}, {198, 357}, {236, 335}, {9,
429}, {252, 344}, {247, 339}, {19, 439}, {44, 392}, {46, 394}, {194, 358}, {38,
387}, {60, 409}, {56, 414}, {254, 344}, {175, 265}, {192, 358}, {213, 371}, {64,
487}, {255, 344}, {204, 363}, {232, 335}, {244, 339}, {196, 364}, {88, 497},
{146, 315}, {109, 452}, {209, 376}, {65, 491}, {127, 469}, {87, 509}, {206,
356}, {221, 375}, {217, 370}, {223, 372}, {49, 413}, {57, 405}, {61, 401}, {74,
486}, {186, 278}, {80, 509}, {139, 294}, {231, 330}, {94, 496}, {177, 287},
{185, 279}, {229, 331}, {67, 492}, {88, 503}, {164, 267}, {227, 332}, {12, 444},
{143, 319}, {127, 463}, {116, 452}, {97, 465}, {181, 261}, {100, 469}, {5, 439},
{125, 463}, {39, 405}, {53, 391}, {105, 475}, {173, 287}, {188, 270}, {195,
369}, {197, 375}, {55, 388}, {116, 455}, {3, 439}, {248, 332}, {161, 277}, {64,
500}, {81, 485}, {193, 373}, {199, 371}, {218, 366}, {24, 429}, {154, 303}, {41,
412}, {169, 284}, {205, 376}, {68, 498}, {78, 504}, {98, 468}, {210, 356}, {73,
510}, {228, 339}, {26, 418}, {96, 472}, {174, 278}, {77, 500}, {253, 324}, {170,
275}, {207, 374}, {47, 405}, {180, 270}, {241, 331}, {126, 453}, {144, 299},
{132, 319}, {130, 313}, {208, 363}, {222, 357}, {33, 413}, {239, 339}, {240,
332}, {24, 421}, {246, 331}, {31, 418}, {66, 511}, {81, 492}, {201, 372}, {203,
374}, {22, 424}, {250, 324}, {39, 409}, {184, 262}, {216, 358}, {23, 424}, {251,
324}, {214, 361}, {243, 332}, {92, 412}, {157, 349}, {133, 325}, {183, 375},
{207, 271}, {43, 490}, {130, 323}, {52, 501}, {16, 466}, {140, 334}, {179, 369},
{37, 486}, {154, 345}, {40, 491}, {51, 496}, {168, 363}, {118, 434}, {152, 348},
{35, 486}, {159, 346}, {177, 372}, {189, 376}, {225, 292}, {244, 305}, {51,
501}, {128, 326}, {124, 442}, {181, 371}, {10, 461}, {137, 334}, {135, 320},
{72, 399}, {79, 392}, {172, 363}, {237, 298}, {243, 308}, {15, 455}, {138, 322},
{120, 432}, {98, 426}, {206, 262}, {224, 296}, {103, 430}, {187, 370}, {96,
426}, {122, 432}, {191, 373}, {226, 296}, {25, 466}, {153, 338}, {46, 485}, {61,
502}, {185, 370}, {28, 464}, {117, 441}, {34, 494}, {75, 391}, {71, 394}, {148,
345}, {112, 445}, {164, 361}, {158, 336}, {252, 306}, {166, 360}, {2, 461},
{250, 309}, {141, 322}, {136, 327}, {134, 329}, {121, 438}, {48, 511}, {82,
413}, {170, 357}, {209, 286}, {215, 280}, {45, 509}, {149, 325}, {143, 351},
{71, 407}, {89, 393}, {108, 444}, {163, 371}, {90, 395}, {245, 292}, {165, 372},
{167, 374}, {201, 280}, {35, 497}, {86, 388}, {106, 440}, {188, 366}, {239,
317}, {77, 414}, {99, 432}, {101, 438}, {192, 275}, {227, 304}, {230, 309},
{231, 308}, {58, 494}, {248, 300}, {132, 336}, {129, 341}, {65, 405}, {84, 384},
{105, 445}, {186, 366}, {219, 271}, {217, 271}, {235, 317}, {73, 414}, {253,
298}, {151, 320}, {120, 431}, {48, 488}, {106, 434}, {113, 425}, {180, 364},
{204, 276}, {205, 277}, {234, 306}, {33, 504}, {142, 343}, {43, 498}, {79, 406},
{222, 263}, {232, 305}, {178, 360}, {190, 356}, {212, 270}, {11, 464}, {255,
292}, {146, 329}, {197, 286}, {241, 298}, {14, 466}, {139, 343}, {58, 486},
{101, 441}, {200, 276}, {75, 406}, {135, 346}, {115, 430}, {171, 374}, {175,
370}, {184, 357}, {20, 458}, {246, 296}, {131, 349}, {66, 412}, {169, 375},
{176, 366}, {193, 287}, {47, 496}, {151, 328}, {150, 329}, {124, 419}, {55,
488}, {182, 361}, {30, 510}, {210, 306}, {11, 490}, {249, 280}, {144, 369},
{119, 406}, {30, 511}, {52, 469}, {83, 434}, {213, 308}, {12, 494}, {49, 467},
{6, 485}, {17, 498}, {21, 502}, {76, 431}, {89, 442}, {104, 395}, {211, 304},
{107, 399}, {110, 394}, {240, 276}, {62, 475}, {251, 286}, {165, 320}, {173,
328}, {3, 485}, {126, 408}, {19, 501}, {23, 497}, {53, 467}, {91, 445}, {94,
441}, {160, 327}, {214, 305}, {6, 494}, {45, 453}, {67, 427}, {238, 263}, {31,
501}, {155, 369}, {32, 458}, {110, 388}, {228, 270}, {29, 502}, {59, 464}, {18,
510}, {62, 466}, {18, 511}, {32, 461}, {42, 455}, {113, 412}, {194, 303}, {216,
309}, {4, 490}, {27, 500}, {147, 380}, {69, 426}, {82, 445}, {54, 454}, {156,
364}, {85, 421}, {112, 384}, {220, 300}, {93, 431}, {174, 348}, {25, 490}, {73,
442}, {109, 409}, {198, 306}, {13, 504}, {56, 461}, {196, 305}, {242, 263}, {93,
427}, {161, 343}, {203, 317}, {218, 300}, {195, 308}, {221, 298}, {233, 286},
{50, 458}, {247, 271}, {236, 276}, {86, 431}, {254, 263}, {103, 414}, {8, 498},
{115, 393}, {199, 317}, {28, 487}, {63, 452}, {223, 292}, {85, 425}, {208, 300},
{107, 406}, {162, 351}, {145, 364}, {189, 320}, {229, 280}, {70, 440}, {80,
430}, {7, 504}, {104, 407}, {202, 309}, {48, 512}, {56, 512}, {66, 512}, {77,
512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 296}
under the group generated by the following permutations:
a: (145, 166)(156, 178)(164, 190)(168, 184)(170, 172)(176, 192)(179, 197)(180,
204)(182, 206)(186, 194)(187, 209)(188, 200)(195, 221)(196, 208)(198, 202)(199,
215)(201, 203)(207, 223)(210, 216)(211, 235)(212, 236)(213, 237)(214, 218)(217,
225)(219, 231)(220, 232)(222, 224)(226, 238)(227, 239)(228, 240)(229, 233)(230,
234)(241, 245)(242, 246)(243, 247)(244, 248)(249, 251)(250, 252)(253, 255)(254,
256)(262, 489)(263, 296)(267, 480)(270, 276)(271, 482)(275, 423)(278, 476)(280,
400)(286, 460)(292, 402)(298, 459)(300, 305)(301, 443)(303, 417)(304, 451)(306,
309)(307, 507)(308, 505)(317, 415)(319, 428)(324, 344)(330, 335)(331, 352)(332,
339)(356, 403)(357, 483)(358, 499)(360, 446)(361, 448)(363, 416)(364, 411)(366,
508)(369, 471)(370, 386)(371, 493)(372, 433)(373, 420)(374, 456)(375, 435)(376,
477)(385, 495)(389, 404)(396, 450)(397, 422)(436, 484)(457, 474)(462, 473)(478,
481) (III) Last is Groups&Graphs. Copy everything between (not including)
the lines of asterisks into a plain text file and save it as "graph.txt". Then
launch G&G (Groups&Graphs) and select Read Text from the File menu.
**************
&Graph **************
b: (1, 2)(3, 16)(4, 10)(5, 25)(6, 7)(8, 14)(9, 15)(11, 27)(12, 13)(17, 62)(18,
42)(19, 31)(20, 32)(21, 33)(22, 34)(23, 40)(24, 80)(26, 43)(28, 64)(29, 78)(30,
67)(35, 65)(36, 103)(37, 57)(38, 56)(39, 58)(41, 45)(44, 79)(46, 81)(47, 74)(48,
106)(49, 82)(50, 86)(51, 52)(53, 91)(54, 76)(55, 83)(59, 77)(60, 61)(63, 68)(66,
70)(69, 107)(71, 108)(72, 105)(73, 93)(75, 96)(84, 112)(85, 120)(87, 114)(88,
117)(89, 115)(90, 116)(92, 97)(94, 100)(95, 118)(98, 119)(99, 113)(101,
140)(102, 129)(104, 130)(109, 111)(110, 147)(121, 153)(122, 150)(123, 139)(124,
146)(125, 127)(126, 148)(128, 137)(131, 159)(132, 158)(133, 149)(134, 154)(135,
157)(136, 160)(138, 141)(142, 161)(143, 174)(144, 155)(145, 184)(151, 173)(152,
162)(156, 170)(163, 185)(164, 206)(165, 177)(166, 168)(167, 171)(169, 183)(172,
178)(175, 181)(176, 194)(179, 195)(180, 222)(182, 190)(186, 192)(187, 213)(188,
238)(189, 193)(191, 205)(196, 198)(197, 221)(199, 217)(200, 226)(201, 223)(202,
208)(203, 207)(204, 224)(209, 237)(210, 214)(211, 231)(212, 242)(215, 225)(216,
218)(219, 235)(220, 230)(227, 243)(228, 254)(229, 245)(232, 234)(233, 241)(236,
246)(239, 247)(240, 256)(244, 252)(248, 250)(249, 255)(251, 253)(257, 272)(258,
313)(259, 466)(260, 294)(261, 265)(262, 507)(263, 270)(264, 269)(266, 283)(267,
443)(268, 430)(271, 317)(273, 418)(274, 289)(275, 417)(276, 296)(277, 284)(278,
428)(279, 299)(280, 292)(281, 504)(282, 502)(285, 302)(286, 298)(287, 320)(288,
434)(290, 297)(291, 494)(293, 431)(295, 498)(300, 309)(301, 480)(303, 423)(304,
308)(305, 306)(307, 489)(310, 453)(311, 409)(312, 439)(314, 421)(315, 442)(316,
488)(318, 412)(319, 476)(321, 383)(323, 407)(324, 481)(326, 334)(329, 345)(330,
385)(331, 396)(332, 473)(333, 401)(335, 495)(337, 490)(339, 462)(340, 485)(342,
444)(344, 478)(346, 349)(347, 487)(348, 351)(350, 452)(352, 450)(356, 361)(357,
364)(358, 366)(359, 368)(360, 363)(362, 365)(370, 371)(373, 376)(377, 429)(378,
458)(379, 509)(380, 388)(381, 511)(382, 414)(386, 493)(387, 461)(389, 457)(390,
447)(391, 472)(394, 492)(395, 455)(397, 436)(398, 410)(399, 475)(400, 402)(403,
448)(404, 474)(405, 486)(406, 426)(408, 419)(411, 483)(415, 482)(416, 446)(420,
477)(422, 484)(425, 432)(427, 510)(437, 438)(440, 512)(441, 503)(445, 467)(449,
479)(451, 505)(459, 460)(464, 500)(469, 496)(491, 497)(499, 508)
c: (2, 4)(3, 38, 7, 18)(5, 59, 13, 30)(6, 20, 16, 9)(8, 36, 22, 73)(10, 11)(12,
32, 25, 15)(14, 24, 34, 50)(17, 93, 39, 103)(19, 70, 33, 48)(21, 55, 31, 45)(23,
124, 44, 85)(26, 87, 61, 110)(27, 28)(29, 86, 57, 80)(35, 148, 69, 113)(37, 106,
78, 66)(40, 89, 79, 54)(41, 58, 83, 62)(42, 60, 56, 43)(46, 104)(47, 146, 72,
120)(49, 99, 51, 126)(52, 95, 82, 97)(53, 143, 96, 152)(63, 114, 111, 147)(65,
115, 107, 76)(67, 109, 77, 68)(74, 118, 105, 92)(75, 132, 91, 136)(81, 90)(84,
162, 98, 174)(88, 122, 94, 134)(100, 102, 117, 138)(101, 176, 135, 190)(108,
116)(112, 160, 119, 158)(121, 186, 151, 206)(123, 154, 125, 150)(127, 129, 139,
141)(128, 172, 159, 166)(131, 192, 137, 164)(133, 182, 142, 194)(140, 145, 157,
170)(144, 188, 165, 210)(149, 168, 161, 178)(153, 156, 173, 184)(155, 180, 177,
198)(163, 218, 189, 226)(167, 204, 183, 202)(169, 216, 171, 200)(175, 214, 191,
238)(179, 228, 201, 252)(181, 208, 205, 224)(185, 196, 193, 222)(187, 244, 215,
254)(195, 212, 223, 234)(197, 250, 203, 240)(199, 248, 209, 256)(207, 236, 221,
230)(211, 247)(213, 220, 225, 246)(217, 232, 237, 242)(227, 239)(229, 255)(233,
253)(235, 243)(241, 245)(257, 321, 387, 383)(258, 340, 395, 485)(259, 382, 291,
510)(260, 432, 496, 329)(261, 363, 277, 360)(262, 506, 417, 328)(263, 370, 305,
373)(264, 347, 500, 487)(265, 361, 284, 358)(266, 454, 491, 322)(267, 391, 428,
334)(268, 367, 293, 353)(269, 337, 464, 401)(270, 372, 306, 369)(271, 335, 505,
385)(272, 333, 461, 490)(273, 381, 282, 512)(274, 470, 445, 327)(275, 503, 507,
349)(276, 375, 309, 374)(278, 384, 443, 338)(279, 364, 287, 357)(280, 344, 460,
478)(281, 378, 312, 377)(283, 425, 497, 345)(285, 350, 492, 452)(286, 324, 400,
481)(288, 355, 318, 354)(289, 408, 467, 351)(290, 419, 426, 348)(292, 331, 459,
450)(294, 465, 469, 341)(295, 379, 311, 380)(296, 371, 300, 376)(297, 393, 406,
336)(298, 352, 402, 396)(299, 366, 320, 356)(301, 468, 476, 325)(302, 342, 394,
407)(303, 463, 489, 343)(304, 339, 415, 462)(307, 441, 423, 346)(308, 330, 482,
495)(310, 368, 316, 365)(313, 323, 455, 444)(314, 362, 315, 359)(317, 332, 451,
473)(319, 472, 480, 326)(386, 436, 420, 457)(388, 418, 509, 502)(389, 433, 397,
471)(390, 416, 437, 446)(392, 421, 424, 442)(398, 483, 449, 411)(399, 431, 405,
430)(403, 479, 508, 410)(404, 435, 422, 456)(409, 414, 498, 427)(412, 486, 434,
475)(413, 488, 501, 453)(429, 494, 458, 466)(438, 499, 447, 448)(439, 440, 504,
511)(474, 493, 484, 477)
d: (8, 19)(14, 31)(17, 37)(21, 34)(22, 33)(23, 49)(29, 58)(35, 72)(39, 78)(40,
82)(44, 51)(47, 69)(52, 79)(57, 62)(65, 105)(74, 107)(259, 439)(260, 497)(266,
469)(273, 498)(274, 406)(281, 494)(282, 409)(283, 496)(289, 426)(290, 467)(291,
504)(294, 491)(295, 418)(297, 445)(311, 502)(312, 466)(353, 355)(354, 367)(359,
365)(362, 368)(392, 501)(399, 486)(405, 475)(413, 424)
e: (179, 197)(187, 209)(195, 221)(199, 215)(201, 203)(207, 223)(211, 233)(213,
237)(217, 225)(219, 245)(227, 251)(229, 235)(231, 241)(239, 249)(243, 253)(247,
255)(271, 292)(280, 317)(286, 304)(298, 308)(324, 473)(330, 450)(331, 495)(332,
481)(335, 396)(339, 478)(344, 462)(352, 385)(369, 471)(370, 386)(371, 493)(372,
433)(373, 420)(374, 456)(375, 435)(376, 477)(400, 415)(402, 482)(451, 460)(459,
505)
f: (54, 89)(76, 115)(85, 124)(92, 118)(95, 97)(99, 126)(102, 136)(113, 148)(120,
146)(122, 152)(129, 160)(132, 138)(134, 143)(141, 158)(150, 162)(154, 174)(262,
443)(267, 507)(268, 421)(275, 428)(278, 417)(288, 488)(293, 442)(301, 489)(303,
476)(307, 480)(310, 412)(314, 430)(315, 431)(316, 434)(318, 453)(319, 423)(322,
336)(327, 341)(329, 351)(345, 348)(393, 454)(408, 432)(419, 425)(465, 470)
g: (53, 88)(75, 100)(84, 123)(91, 117)(94, 96)(98, 125)(101, 137)(112, 139)(119,
127)(121, 133)(128, 140)(131, 135)(142, 151)(144, 169)(149, 153)(155, 183)(157,
159)(161, 173)(163, 191)(165, 171)(167, 177)(175, 189)(181, 193)(185, 205)(260,
467)(261, 437)(265, 438)(266, 406)(274, 469)(277, 390)(279, 398)(283, 426)(284,
447)(287, 449)(289, 496)(290, 497)(294, 445)(297, 491)(299, 410)(320, 479)(325,
506)(326, 503)(328, 468)(334, 441)(338, 463)(343, 384)(346, 391)(349, 472)(369,
435)(370, 477)(371, 420)(372, 456)(373, 493)(374, 433)(375, 471)(376, 386)
h: (53, 88)(75, 100)(84, 123)(91, 117)(94, 96)(98, 125)(101, 137)(112, 139)(119,
127)(121, 133)(128, 140)(131, 135)(142, 151)(144, 171)(149, 153)(155, 167)(157,
159)(161, 173)(163, 175)(165, 169)(177, 183)(179, 201)(181, 185)(187, 215)(189,
191)(193, 205)(195, 223)(197, 203)(199, 209)(207, 221)(213, 225)(217, 237)(260,
467)(261, 279)(265, 299)(266, 406)(271, 505)(274, 469)(277, 287)(280, 460)(283,
426)(284, 320)(286, 400)(289, 496)(290, 497)(292, 459)(294, 445)(297, 491)(298,
402)(304, 415)(308, 482)(317, 451)(325, 506)(326, 503)(328, 468)(334, 441)(338,
463)(343, 384)(346, 391)(349, 472)(369, 456)(370, 493)(371, 386)(372, 435)(373,
477)(374, 471)(375, 433)(376, 420)(390, 449)(398, 437)(410, 438)(447, 479)
m: (3, 7)(5, 13)(6, 16)(8, 33)(12, 25)(14, 21)(17, 78)(19, 22)(23, 51)(26,
61)(29, 62)(31, 34)(35, 47)(37, 39)(40, 52)(43, 60)(44, 49)(53, 94)(57, 58)(63,
111)(65, 74)(68, 109)(69, 72)(75, 117)(79, 82)(84, 125)(88, 96)(91, 100)(98,
123)(105, 107)(112, 127)(119, 139)(259, 504)(260, 426)(266, 445)(273, 409)(274,
491)(281, 466)(282, 498)(283, 467)(289, 497)(290, 496)(291, 439)(294, 406)(295,
502)(297, 469)(311, 418)(312, 494)(321, 383)(323, 444)(325, 463)(326, 441)(328,
384)(333, 490)(334, 503)(337, 401)(338, 506)(340, 485)(342, 407)(343, 468)(346,
472)(347, 487)(349, 391)(350, 452)(353, 354)(355, 367)(359, 368)(362, 365)(392,
413)(399, 475)(405, 486)(424, 501)
n1: (102, 132)(122, 143)(129, 158)(134, 152)(136, 138)(141, 160)(145, 170)(150,
174)(154, 162)(156, 184)(164, 192)(166, 172)(168, 178)(176, 190)(182, 194)(186,
206)(262, 278)(267, 275)(301, 303)(307, 319)(322, 393)(327, 465)(329, 408)(336,
454)(341, 470)(345, 419)(348, 425)(351, 432)(356, 499)(357, 446)(358, 403)(360,
483)(361, 508)(363, 411)(364, 416)(366, 448)(417, 443)(423, 480)(428, 507)(476,
489)
a1: (23, 44)(35, 69)(40, 79)(47, 72)(49, 51)(52, 82)(53, 94)(65, 107)(74,
105)(75, 117)(84, 125)(88, 96)(91, 100)(98, 123)(112, 127)(119, 139)(260,
289)(266, 297)(274, 294)(283, 290)(325, 463)(326, 441)(328, 384)(334, 503)(338,
506)(343, 468)(346, 472)(349, 391)(353, 392)(354, 413)(355, 501)(359, 405)(362,
399)(365, 475)(367, 424)(368, 486)(406, 491)(426, 497)(445, 469)(467, 496)
b1: (53, 88)(75, 100)(84, 123)(91, 117)(94, 96)(98, 125)(101, 135)(112,
139)(119, 127)(121, 151)(128, 159)(131, 137)(133, 142)(140, 157)(149, 161)(153,
173)(260, 467)(261, 449)(265, 479)(266, 406)(274, 469)(277, 398)(279, 390)(283,
426)(284, 410)(287, 437)(289, 496)(290, 497)(294, 445)(297, 491)(299, 447)(320,
438)(325, 343)(326, 346)(328, 338)(334, 349)(384, 506)(391, 503)(441, 472)(463,
468)
c1: (145, 166)(156, 178)(164, 190)(168, 184)(170, 172)(176, 192)(179, 197)(180,
202)(182, 206)(186, 194)(187, 209)(188, 216)(195, 221)(196, 224)(198, 204)(199,
215)(200, 210)(201, 203)(207, 223)(208, 222)(211, 235)(212, 230)(213, 237)(214,
226)(217, 225)(218, 238)(219, 231)(220, 242)(227, 239)(228, 250)(229, 233)(232,
246)(234, 236)(240, 252)(241, 245)(243, 247)(244, 256)(248, 254)(249, 251)(253,
255)(262, 489)(263, 300)(267, 480)(270, 309)(271, 482)(275, 423)(276, 306)(278,
476)(280, 400)(286, 460)(292, 402)(296, 305)(298, 459)(301, 443)(303, 417)(304,
451)(307, 507)(308, 505)(317, 415)(319, 428)(324, 478)(330, 385)(331, 396)(332,
462)(335, 495)(339, 473)(344, 481)(352, 450)(356, 361)(357, 363)(358, 366)(360,
364)(369, 471)(370, 386)(371, 493)(372, 433)(373, 420)(374, 456)(375, 435)(376,
477)(389, 422)(397, 404)(403, 448)(411, 446)(416, 483)(436, 474)(457, 484)(499,
508)
d1: (1, 3, 81, 7)(2, 6, 46, 16)(4, 5, 108, 13)(8, 77, 22, 18)(9, 17, 114,
39)(10, 12, 71, 25)(11, 26, 130, 61)(14, 56, 34, 30)(15, 29, 87, 57)(19, 67, 33,
38)(20, 37, 147, 78)(21, 59, 31, 42)(23, 48, 44, 73)(24, 72, 45, 47)(27, 60,
104, 43)(28, 63, 116, 111)(32, 58, 110, 62)(35, 55, 69, 50)(36, 49, 70, 51)(40,
66, 79, 103)(41, 107, 80, 65)(52, 93, 82, 106)(53, 126, 96, 124)(54, 123, 97,
125)(64, 109, 90, 68)(74, 86, 105, 83)(75, 146, 91, 148)(76, 139, 92, 127)(84,
95, 98, 89)(85, 88, 99, 94)(100, 120, 117, 113)(101, 134, 137, 122)(102, 121,
138, 133)(112, 118, 119, 115)(128, 150, 140, 154)(129, 153, 141, 149)(131, 152,
135, 143)(132, 142, 136, 151)(144, 176, 169, 190)(145, 189, 170, 175)(155, 186,
183, 206)(156, 205, 184, 185)(157, 174, 159, 162)(158, 161, 160, 173)(163, 172,
191, 166)(164, 165, 192, 171)(167, 182, 177, 194)(168, 193, 178, 181)(179, 188,
197, 210)(180, 209, 198, 187)(195, 218, 221, 226)(196, 225, 222, 217)(199, 204,
215, 202)(200, 201, 216, 203)(207, 214, 223, 238)(208, 237, 224, 213)(211, 228,
233, 252)(212, 251, 234, 227)(219, 244, 245, 254)(220, 253, 246, 243)(229, 250,
235, 240)(230, 239, 236, 249)(231, 248, 241, 256)(232, 255, 242, 247)(257, 259,
285, 291)(258, 273, 264, 282)(260, 318, 496, 421)(261, 489, 437, 303)(262, 279,
417, 398)(263, 271, 305, 292)(265, 507, 438, 275)(266, 314, 491, 412)(267, 320,
428, 479)(268, 467, 453, 289)(269, 295, 313, 311)(270, 286, 306, 304)(272, 281,
302, 312)(274, 315, 445, 434)(276, 280, 309, 317)(277, 443, 390, 278)(283, 293,
497, 488)(284, 480, 447, 319)(287, 476, 449, 301)(288, 426, 442, 290)(294, 316,
469, 431)(296, 308, 300, 298)(297, 310, 406, 430)(299, 423, 410, 307)(321, 485,
340, 383)(322, 325, 341, 338)(323, 401, 333, 407)(324, 495, 332, 450)(326, 329,
334, 345)(327, 328, 336, 343)(330, 481, 331, 473)(335, 478, 352, 462)(337, 444,
342, 490)(339, 396, 344, 385)(346, 351, 349, 348)(347, 452, 350, 487)(353, 512,
367, 510)(354, 382, 355, 381)(356, 369, 366, 375)(357, 370, 364, 376)(358, 374,
361, 372)(359, 377, 362, 379)(360, 371, 363, 373)(365, 378, 368, 380)(384, 470,
468, 393)(386, 446, 477, 416)(387, 439, 492, 504)(388, 475, 458, 486)(389, 451,
397, 460)(391, 408, 472, 419)(392, 414, 424, 511)(394, 466, 461, 494)(395, 498,
500, 409)(399, 509, 405, 429)(400, 404, 415, 422)(402, 436, 482, 457)(403, 433,
508, 456)(411, 493, 483, 420)(413, 440, 501, 427)(418, 455, 502, 464)(425, 503,
432, 441)(435, 448, 471, 499)(454, 506, 465, 463)(459, 484, 505, 474)
e1: (179, 197)(180, 198)(187, 209)(188, 210)(195, 221)(196, 222)(199, 215)(200,
216)(201, 203)(202, 204)(207, 223)(208, 224)(211, 235)(212, 236)(213, 237)(214,
238)(217, 225)(218, 226)(219, 231)(220, 232)(227, 239)(228, 240)(229, 233)(230,
234)(241, 245)(242, 246)(243, 247)(244, 248)(249, 251)(250, 252)(253, 255)(254,
256)(263, 436)(270, 397)(271, 482)(276, 422)(280, 400)(286, 460)(292, 402)(296,
484)(298, 459)(300, 474)(304, 451)(305, 457)(306, 389)(308, 505)(309, 404)(317,
415)(324, 344)(330, 335)(331, 352)(332, 339)(356, 448)(357, 416)(358, 508)(360,
411)(361, 403)(363, 483)(364, 446)(366, 499)(369, 471)(370, 386)(371, 493)(372,
433)(373, 420)(374, 456)(375, 435)(376, 477)(385, 495)(396, 450)(462, 473)(478,
481)
f1: (24, 45)(36, 70)(41, 80)(48, 73)(50, 55)(54, 95)(66, 103)(76, 118)(83,
86)(85, 126)(89, 97)(92, 115)(93, 106)(99, 124)(102, 132)(113, 146)(120,
148)(122, 143)(129, 158)(134, 152)(136, 138)(141, 160)(145, 170)(150, 174)(154,
162)(156, 184)(164, 192)(166, 172)(168, 178)(176, 190)(182, 194)(186, 206)(262,
278)(267, 275)(268, 318)(288, 293)(301, 303)(307, 319)(310, 314)(315, 316)(322,
327)(329, 348)(336, 341)(345, 351)(356, 499)(357, 446)(358, 403)(360, 483)(361,
508)(363, 411)(364, 416)(366, 448)(377, 429)(378, 458)(379, 509)(380, 388)(381,
427)(382, 440)(393, 465)(408, 425)(412, 430)(414, 512)(417, 443)(419, 432)(421,
453)(423, 480)(428, 507)(431, 434)(442, 488)(454, 470)(476, 489)(510, 511)
C4[ 512, 46 ]
512
-1 321 387 257 383
-2 321 272 383 461
-3 485 321 259 439
-4 387 333 257 490
-5 407 259 337 439
-6 485 321 281 494
-7 291 383 504 340
-8 353 498 259 392
-9 429 377 257 395
-10 401 337 272 461
-11 464 333 269 490
-12 333 444 281 494
-13 342 291 401 504
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-18 257 510 511 395
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-20 387 378 258 458
-21 354 281 413 502
-22 409 367 291 424
-23 353 497 290 424
-24 429 421 268 379
-25 312 323 466 490
-26 407 418 337 295
-27 264 401 500 337
-28 464 487 269 347
-29 399 281 502 362
-30 510 269 511 394
-31 418 355 312 501
-32 378 313 458 461
-33 354 413 282 504
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-36 421 268 382 427
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-38 440 387 258 382
-39 409 291 359 405
-40 297 353 424 491
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-45 453 377 509 318
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-510 103 18 73 30
-511 66 48 18 30
-512 66 77 56 48
0