Graph forms
for C4 [ 512, 47 ] =
PL(Curtain_64(1,32,1,18,50),[4^64,4^64])
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On this page are computer-accessible forms for the graph C4[ 512, 47 ] =
PL(Curtain_64(1,32,1,18,50),[4^64,4^64]).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 288}, {256, 324}, {256, 391}, {256, 451}, {1, 257}, {3,
259}, {39, 295}, {62, 318}, {81, 336}, {97, 352}, {164, 421}, {95, 349}, {189,
447}, {93, 350}, {160, 419}, {159, 412}, {134, 389}, {5, 257}, {145, 405}, {57,
317}, {94, 346}, {28, 281}, {53, 304}, {68, 322}, {180, 434}, {187, 445}, {214,
464}, {232, 494}, {242, 500}, {4, 259}, {250, 509}, {192, 455}, {9, 257}, {20,
285}, {193, 456}, {197, 460}, {237, 484}, {146, 408}, {254, 500}, {8, 259},
{125, 369}, {197, 457}, {239, 483}, {40, 293}, {69, 328}, {222, 467}, {23, 281},
{158, 400}, {86, 344}, {37, 298}, {17, 257}, {162, 434}, {170, 442}, {231, 503},
{233, 505}, {19, 258}, {147, 386}, {54, 295}, {202, 475}, {55, 293}, {72, 346},
{16, 259}, {246, 485}, {91, 328}, {182, 421}, {216, 459}, {43, 319}, {73, 349},
{166, 434}, {221, 457}, {111, 378}, {117, 352}, {187, 430}, {198, 467}, {11,
285}, {137, 415}, {136, 414}, {128, 406}, {15, 281}, {38, 304}, {64, 342}, {104,
382}, {42, 317}, {126, 361}, {74, 349}, {208, 455}, {220, 459}, {90, 322}, {251,
483}, {172, 436}, {236, 500}, {71, 350}, {252, 485}, {150, 399}, {183, 430},
{186, 419}, {190, 423}, {209, 456}, {213, 460}, {7, 285}, {255, 485}, {254,
484}, {152, 386}, {90, 320}, {99, 377}, {202, 464}, {76, 343}, {140, 407}, {132,
415}, {79, 340}, {230, 509}, {46, 306}, {249, 485}, {248, 484}, {161, 445}, {47,
307}, {78, 338}, {163, 447}, {151, 394}, {52, 298}, {80, 334}, {143, 400}, {203,
468}, {151, 439}, {193, 481}, {63, 286}, {118, 343}, {234, 459}, {29, 319}, {32,
258}, {41, 267}, {88, 378}, {168, 394}, {205, 495}, {105, 330}, {121, 346},
{115, 336}, {60, 280}, {84, 368}, {102, 322}, {188, 408}, {110, 331}, {133,
416}, {185, 412}, {238, 459}, {2, 292}, {120, 350}, {119, 337}, {51, 277}, {209,
503}, {226, 452}, {44, 267}, {92, 379}, {26, 306}, {135, 431}, {124, 340}, {27,
307}, {59, 275}, {170, 386}, {13, 292}, {123, 338}, {48, 281}, {67, 362}, {106,
323}, {165, 396}, {218, 499}, {14, 292}, {21, 319}, {108, 326}, {211, 505},
{222, 500}, {35, 264}, {122, 337}, {61, 278}, {75, 352}, {24, 308}, {145, 445},
{132, 424}, {82, 382}, {207, 483}, {107, 326}, {113, 348}, {175, 386}, {229,
456}, {65, 367}, {154, 436}, {103, 328}, {177, 414}, {181, 410}, {210, 509},
{227, 460}, {101, 340}, {249, 456}, {194, 499}, {6, 308}, {246, 452}, {36, 278},
{87, 357}, {188, 398}, {56, 267}, {18, 294}, {142, 442}, {139, 447}, {129, 437},
{77, 377}, {83, 359}, {109, 345}, {205, 505}, {45, 280}, {127, 330}, {98, 343},
{100, 338}, {245, 451}, {184, 398}, {22, 289}, {240, 455}, {12, 308}, {251,
451}, {154, 418}, {173, 405}, {217, 481}, {31, 294}, {250, 451}, {112, 329},
{163, 410}, {50, 264}, {70, 380}, {162, 408}, {66, 377}, {252, 455}, {247, 460},
{141, 438}, {183, 396}, {223, 484}, {33, 285}, {134, 442}, {114, 334}, {182,
394}, {204, 496}, {210, 494}, {236, 464}, {25, 292}, {96, 349}, {185, 388}, {10,
308}, {138, 436}, {89, 359}, {30, 289}, {155, 420}, {168, 407}, {194, 509}, {1,
321}, {42, 362}, {48, 368}, {237, 429}, {77, 268}, {148, 469}, {113, 304}, {216,
409}, {219, 410}, {3, 321}, {149, 471}, {56, 378}, {63, 381}, {204, 398}, {214,
404}, {2, 321}, {141, 462}, {121, 314}, {34, 353}, {195, 384}, {52, 368}, {253,
441}, {180, 496}, {189, 505}, {206, 394}, {233, 429}, {83, 277}, {6, 321}, {40,
367}, {60, 379}, {100, 291}, {109, 298}, {199, 384}, {37, 365}, {74, 258}, {91,
275}, {102, 302}, {167, 495}, {241, 441}, {199, 397}, {46, 357}, {129, 458},
{115, 312}, {65, 266}, {85, 286}, {88, 275}, {106, 289}, {231, 428}, {105, 293},
{153, 469}, {107, 294}, {243, 446}, {112, 317}, {201, 388}, {234, 423}, {36,
362}, {69, 267}, {92, 274}, {103, 297}, {240, 446}, {23, 344}, {155, 468}, {144,
479}, {118, 313}, {5, 341}, {41, 377}, {4, 341}, {7, 342}, {33, 368}, {45, 380},
{66, 275}, {200, 409}, {213, 388}, {224, 433}, {55, 357}, {138, 472}, {137,
475}, {136, 474}, {169, 507}, {198, 404}, {235, 441}, {11, 344}, {255, 428},
{125, 302}, {116, 295}, {62, 365}, {96, 307}, {211, 384}, {47, 379}, {70, 274},
{76, 280}, {94, 264}, {159, 457}, {93, 266}, {126, 297}, {201, 414}, {175, 503},
{15, 342}, {153, 448}, {133, 476}, {131, 474}, {51, 362}, {104, 305}, {195,
410}, {61, 359}, {156, 454}, {144, 458}, {117, 303}, {171, 497}, {181, 495},
{215, 397}, {14, 341}, {32, 379}, {38, 381}, {229, 446}, {174, 498}, {191, 483},
{226, 446}, {35, 382}, {139, 470}, {49, 364}, {87, 266}, {218, 391}, {57, 359},
{140, 466}, {174, 496}, {176, 494}, {208, 398}, {10, 341}, {97, 318}, {223,
384}, {243, 428}, {67, 291}, {146, 498}, {165, 453}, {75, 298}, {119, 278},
{178, 467}, {196, 421}, {207, 430}, {34, 320}, {71, 293}, {166, 452}, {111,
268}, {224, 387}, {161, 453}, {221, 441}, {43, 334}, {130, 487}, {176, 469},
{203, 430}, {212, 433}, {172, 458}, {27, 380}, {244, 403}, {148, 499}, {124,
283}, {86, 305}, {169, 462}, {179, 468}, {22, 382}, {142, 486}, {241, 409}, {8,
353}, {72, 289}, {178, 475}, {206, 423}, {228, 397}, {84, 318}, {157, 503},
{186, 464}, {59, 336}, {156, 496}, {248, 404}, {190, 466}, {12, 353}, {95, 306},
{225, 396}, {238, 387}, {54, 344}, {149, 507}, {108, 258}, {19, 380}, {73, 294},
{232, 391}, {235, 388}, {13, 381}, {158, 494}, {15, 383}, {98, 274}, {228, 404},
{28, 365}, {29, 364}, {39, 342}, {49, 320}, {64, 305}, {167, 470}, {123, 265},
{152, 490}, {147, 481}, {128, 498}, {192, 434}, {225, 403}, {78, 317}, {244,
391}, {160, 467}, {212, 423}, {9, 381}, {247, 387}, {21, 353}, {24, 364}, {58,
334}, {26, 367}, {127, 266}, {114, 263}, {82, 295}, {196, 433}, {217, 428},
{230, 403}, {110, 280}, {135, 497}, {122, 268}, {120, 270}, {164, 466}, {179,
453}, {219, 429}, {99, 276}, {7, 383}, {81, 297}, {177, 457}, {20, 365}, {245,
396}, {150, 495}, {130, 507}, {173, 468}, {200, 433}, {220, 421}, {31, 357},
{58, 320}, {89, 291}, {191, 453}, {215, 429}, {227, 409}, {68, 319}, {157, 486},
{131, 504}, {101, 286}, {16, 364}, {44, 336}, {184, 452}, {239, 403}, {2, 383},
{18, 367}, {1, 383}, {253, 387}, {143, 497}, {80, 302}, {171, 469}, {79, 304},
{242, 397}, {92, 476}, {142, 270}, {113, 497}, {104, 488}, {186, 314}, {174,
300}, {56, 443}, {149, 278}, {178, 310}, {184, 316}, {188, 313}, {111, 489},
{45, 426}, {96, 487}, {108, 491}, {200, 335}, {1, 393}, {128, 264}, {176, 312},
{199, 335}, {146, 283}, {234, 355}, {57, 435}, {168, 290}, {232, 354}, {236,
358}, {86, 477}, {105, 482}, {5, 393}, {59, 439}, {90, 470}, {167, 299}, {82,
479}, {126, 499}, {85, 472}, {39, 425}, {161, 303}, {154, 276}, {72, 454}, {100,
490}, {79, 448}, {136, 263}, {12, 413}, {159, 270}, {133, 276}, {41, 440}, {72,
473}, {231, 374}, {68, 470}, {120, 490}, {76, 478}, {223, 333}, {28, 392}, {147,
263}, {47, 443}, {187, 303}, {7, 402}, {8, 413}, {51, 422}, {68, 465}, {60,
426}, {132, 274}, {99, 501}, {180, 290}, {63, 424}, {152, 271}, {107, 508},
{108, 507}, {216, 335}, {87, 463}, {145, 265}, {141, 277}, {94, 454}, {106,
498}, {179, 299}, {215, 335}, {11, 402}, {135, 286}, {84, 461}, {97, 504}, {19,
393}, {160, 314}, {166, 316}, {182, 300}, {32, 443}, {125, 486}, {44, 439},
{162, 313}, {20, 392}, {144, 268}, {125, 481}, {83, 463}, {233, 373}, {21, 392},
{46, 435}, {171, 310}, {46, 432}, {120, 486}, {155, 260}, {235, 372}, {11, 427},
{119, 471}, {191, 287}, {196, 356}, {237, 333}, {243, 339}, {74, 491}, {89,
504}, {107, 458}, {213, 372}, {217, 376}, {3, 417}, {57, 411}, {27, 440}, {62,
413}, {238, 333}, {34, 390}, {139, 303}, {118, 466}, {37, 385}, {43, 399}, {77,
489}, {78, 490}, {4, 417}, {134, 291}, {122, 479}, {14, 427}, {69, 480}, {71,
482}, {101, 448}, {170, 271}, {190, 283}, {211, 373}, {209, 374}, {244, 339},
{35, 395}, {115, 475}, {165, 269}, {175, 263}, {206, 358}, {15, 422}, {32, 393},
{173, 260}, {192, 361}, {202, 355}, {219, 370}, {3, 425}, {26, 432}, {34, 392},
{163, 265}, {19, 440}, {116, 479}, {85, 510}, {240, 347}, {31, 435}, {148, 312},
{116, 472}, {65, 493}, {194, 366}, {24, 437}, {198, 363}, {224, 333}, {242,
351}, {5, 427}, {204, 354}, {221, 371}, {241, 351}, {6, 425}, {153, 310}, {61,
402}, {67, 492}, {59, 395}, {156, 300}, {110, 478}, {210, 354}, {214, 358}, {23,
422}, {253, 332}, {246, 327}, {137, 312}, {130, 307}, {42, 411}, {181, 260},
{195, 370}, {245, 327}, {254, 332}, {18, 417}, {157, 302}, {129, 306}, {70,
501}, {106, 473}, {111, 476}, {189, 265}, {248, 332}, {218, 366}, {239, 347},
{52, 385}, {151, 290}, {143, 314}, {140, 313}, {58, 399}, {73, 508}, {222, 363},
{230, 339}, {6, 432}, {36, 402}, {197, 371}, {229, 339}, {49, 390}, {158, 297},
{65, 502}, {90, 493}, {109, 474}, {185, 270}, {212, 355}, {37, 413}, {77, 501},
{172, 276}, {207, 375}, {208, 360}, {220, 356}, {12, 437}, {121, 448}, {50,
395}, {193, 376}, {205, 372}, {226, 347}, {10, 432}, {124, 454}, {82, 488}, {87,
493}, {183, 269}, {225, 347}, {62, 389}, {255, 324}, {252, 327}, {247, 332},
{138, 305}, {67, 504}, {228, 351}, {23, 427}, {251, 327}, {102, 474}, {169,
277}, {201, 373}, {227, 351}, {131, 318}, {249, 324}, {150, 299}, {203, 374},
{31, 417}, {250, 324}, {177, 271}, {164, 283}, {151, 343}, {251, 315}, {183,
375}, {80, 401}, {137, 328}, {119, 438}, {118, 439}, {210, 272}, {216, 282},
{234, 296}, {2, 449}, {153, 346}, {128, 323}, {20, 471}, {99, 416}, {177, 370},
{103, 419}, {160, 356}, {142, 330}, {130, 326}, {243, 311}, {51, 502}, {212,
273}, {42, 492}, {152, 350}, {123, 445}, {181, 371}, {201, 271}, {129, 326},
{140, 331}, {193, 262}, {94, 406}, {255, 311}, {156, 340}, {215, 287}, {155,
338}, {189, 372}, {205, 260}, {98, 424}, {136, 322}, {117, 447}, {101, 431},
{112, 442}, {199, 269}, {208, 282}, {214, 284}, {53, 510}, {154, 337}, {179,
376}, {44, 480}, {249, 309}, {143, 323}, {80, 412}, {91, 407}, {162, 366}, {185,
373}, {225, 301}, {236, 288}, {50, 511}, {187, 374}, {218, 279}, {38, 488},
{146, 348}, {39, 489}, {88, 406}, {191, 369}, {14, 449}, {134, 329}, {132, 331},
{115, 444}, {78, 385}, {164, 363}, {166, 361}, {75, 411}, {149, 325}, {91, 395},
{163, 371}, {184, 360}, {207, 287}, {229, 309}, {84, 389}, {28, 462}, {139,
345}, {36, 502}, {69, 407}, {194, 272}, {223, 269}, {233, 315}, {66, 406}, {252,
296}, {244, 288}, {165, 369}, {239, 315}, {24, 461}, {144, 325}, {196, 273},
{96, 438}, {178, 356}, {10, 477}, {58, 493}, {63, 488}, {209, 262}, {45, 501},
{245, 301}, {145, 329}, {122, 418}, {175, 375}, {176, 360}, {190, 358}, {240,
296}, {4, 477}, {161, 376}, {35, 506}, {186, 355}, {27, 449}, {131, 345}, {75,
401}, {180, 366}, {192, 282}, {198, 284}, {93, 390}, {135, 348}, {113, 426},
{104, 436}, {141, 337}, {217, 261}, {224, 316}, {235, 311}, {16, 461}, {182,
363}, {40, 502}, {98, 444}, {188, 354}, {29, 450}, {123, 420}, {54, 489}, {60,
476}, {64, 416}, {170, 330}, {203, 299}, {213, 309}, {219, 315}, {30, 511}, {56,
473}, {100, 389}, {9, 491}, {147, 369}, {206, 300}, {231, 261}, {33, 450}, {114,
401}, {71, 420}, {88, 443}, {168, 331}, {124, 408}, {173, 329}, {79, 426}, {227,
262}, {242, 279}, {25, 511}, {250, 284}, {55, 465}, {25, 510}, {246, 273}, {171,
323}, {248, 272}, {64, 425}, {254, 279}, {121, 400}, {70, 431}, {172, 325}, {13,
487}, {157, 375}, {127, 405}, {89, 435}, {95, 437}, {221, 311}, {53, 478}, {54,
477}, {73, 418}, {16, 508}, {114, 414}, {22, 506}, {169, 325}, {53, 472}, {159,
370}, {81, 444}, {17, 511}, {126, 400}, {47, 449}, {195, 301}, {204, 290}, {17,
510}, {41, 473}, {76, 444}, {97, 401}, {197, 309}, {110, 415}, {247, 262}, {112,
385}, {48, 450}, {61, 463}, {81, 419}, {174, 348}, {237, 287}, {9, 506}, {49,
450}, {92, 431}, {226, 273}, {8, 508}, {200, 316}, {220, 296}, {228, 272}, {238,
282}, {241, 261}, {83, 422}, {22, 480}, {158, 360}, {150, 352}, {26, 492}, {33,
471}, {86, 416}, {109, 411}, {13, 506}, {21, 482}, {38, 478}, {253, 261}, {55,
463}, {103, 415}, {40, 465}, {127, 390}, {52, 461}, {93, 420}, {17, 491}, {117,
399}, {43, 465}, {66, 440}, {102, 412}, {230, 284}, {74, 438}, {105, 405}, {202,
310}, {85, 424}, {148, 361}, {95, 418}, {18, 492}, {25, 487}, {30, 480}, {48,
462}, {167, 345}, {211, 301}, {222, 288}, {29, 482}, {133, 378}, {232, 279},
{30, 512}, {50, 512}, {116, 512}, {138, 512} }>;
(II) A more general form is to represent the graph as the orbit of {256, 288}
under the group generated by the following permutations:
a: (72, 106)(79, 113)(81, 151, 115, 118)(94, 128)(101, 135)(103, 168, 137,
140)(121, 174, 153, 146)(124, 143, 156, 171)(126, 180, 148, 162)(158, 204, 176,
188)(160, 182, 178, 164)(166, 194, 192, 218)(184, 210, 208, 232)(186, 206, 202,
190)(196, 198, 220, 222)(200, 228, 216, 242)(212, 214, 234, 236)(224, 248, 238,
254)(225, 245)(226, 250, 240, 256)(229, 249)(230, 252, 244, 246)(239, 251)(243,
255)(272, 282, 279, 316)(273, 284, 296, 288)(283, 314, 300, 310)(290, 312, 313,
297)(323, 454)(324, 446)(327, 403)(328, 407)(331, 415)(332, 387)(333, 484)(335,
397)(336, 439)(339, 485)(340, 497)(343, 444)(346, 498)(347, 451)(348, 448)(351,
409)(354, 360)(355, 358)(356, 363)(361, 366)(391, 452, 509, 455)(394, 475, 466,
419)(398, 494)(400, 496, 469, 408)(404, 459, 500, 433)(421, 467)(423, 464)(434,
499) (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: (160, 186)(164, 190)(178, 202)(182, 206)(196, 212)(198, 214)(220, 234)(222,
236)(355, 356)(358, 363)(421, 423)(464, 467)
c: (1, 2)(5, 14)(9, 13)(17, 25)(19, 27)(32, 47)(74, 96)(108, 130)(257, 292)(258,
307)(393, 449)(487, 491)
d: (7, 15)(11, 23)(20, 28)(33, 48)(36, 51)(61, 83)(119, 141)(149, 169)(277,
278)(281, 285)(402, 422)(462, 471)
e: (9, 17)(13, 25)(22, 30)(35, 50)(38, 53)(63, 85)(82, 116)(104, 138)(381,
510)(382, 512)(472, 488)(506, 511)
f: (80, 117, 114, 150)(102, 139, 136, 167)(120, 123, 152, 155)(125, 161, 147,
179)(142, 145, 170, 173)(157, 187, 175, 203)(159, 163, 177, 181)(185, 189, 201,
205)(260, 270, 265, 271)(263, 299, 302, 303)(322, 470)(329, 442)(330, 405)(334,
399)(338, 490)(345, 474)(350, 420)(352, 401)(369, 453)(370, 410)(371, 457)(372,
388)(373, 505)(374, 503)(375, 430)(376, 481)(386, 468, 486, 445)(412, 447, 414,
495)
g: (71, 105)(78, 112)(93, 127)(100, 134)(120, 142)(123, 145)(152, 170)(155,
173)(329, 338)(330, 350)(405, 420)(442, 490)
h: (117, 150)(123, 155)(139, 167)(145, 173)(161, 179)(163, 181)(187, 203)(189,
205)(260, 265)(299, 303)(445, 468)(447, 495)
m: (118, 151)(124, 156)(140, 168)(146, 174)(162, 180)(164, 182)(188, 204)(190,
206)(283, 300)(290, 313)(394, 466)(408, 496)
n1: (126, 158)(148, 176)(162, 188)(166, 184)(180, 204)(192, 208)(194, 210)(218,
232)(354, 366)(360, 361)(398, 434)(494, 499)
a1: (193, 217)(197, 221)(209, 231)(213, 235)(227, 241)(229, 243)(247, 253)(249,
255)(261, 262)(309, 311)(428, 456)(441, 460)
b1: (80, 114)(102, 136)(120, 152)(125, 147)(142, 170)(157, 175)(159, 177)(185,
201)(263, 302)(270, 271)(386, 486)(412, 414)
c1: (3, 7, 6, 15)(4, 11, 10, 23)(8, 20, 12, 28)(16, 33, 24, 48)(18, 36, 26,
51)(31, 61, 46, 83)(73, 149, 95, 169)(74, 108)(96, 130)(107, 119, 129, 141)(122,
144)(154, 172)(259, 285, 308, 281)(277, 294, 278, 306)(321, 383)(325, 418)(326,
438)(337, 458)(341, 427)(342, 425)(344, 477)(349, 507)(353, 392)(357, 463)(359,
435)(362, 492)(364, 450)(365, 413)(367, 502)(368, 461)(402, 432, 422, 417)(437,
462, 508, 471)
d1: (225, 245)(226, 246)(229, 249)(230, 250)(239, 251)(240, 252)(243, 255)(244,
256)(324, 339)(327, 347)(403, 451)(446, 485)
e1: (18, 31)(26, 46)(36, 61)(40, 55)(42, 57)(51, 83)(65, 87)(67, 89)(357,
367)(359, 362)(435, 492)(463, 502)
f1: (21, 37)(29, 52)(34, 62)(40, 42)(43, 75)(49, 84)(55, 57)(58, 97)(65, 67)(68,
109)(71, 78)(87, 89)(90, 131)(93, 100)(105, 112)(127, 134)(266, 291)(293,
317)(298, 319)(318, 320)(322, 474)(329, 405)(330, 442)(334, 401)(338, 420)(345,
470)(350, 490)(352, 399)(353, 413)(357, 435)(359, 463)(362, 502)(364, 461)(365,
392)(367, 492)(368, 450)(385, 482)(389, 390)(411, 465)(493, 504)
g1: (159, 185)(163, 189)(177, 201)(181, 205)(195, 211)(197, 213)(219, 233)(221,
235)(370, 373)(371, 372)(388, 457)(410, 505)
h1: (9, 17)(13, 25)(19, 32)(22, 53, 35, 85)(27, 47)(30, 38, 50, 63)(41, 60, 66,
92)(44, 76, 59, 98)(45, 88, 70, 56)(69, 110, 91, 132)(72, 79, 94, 101)(77,
111)(82, 116)(99, 133)(104, 138)(106, 113, 128, 135)(264, 286, 289, 304)(267,
280, 275, 274)(323, 497)(328, 415)(331, 407)(336, 444)(340, 454)(343, 439)(346,
448)(348, 498)(377, 476)(378, 501)(379, 440)(380, 443)(381, 511)(382, 472)(395,
424, 480, 478)(406, 431, 473, 426)(488, 512)(506, 510)
m1: (37, 62)(42, 67)(52, 84)(57, 89)(75, 97)(78, 100)(109, 131)(112, 134)(291,
317)(298, 318)(385, 389)(411, 504)
n2: (37, 62)(42, 67)(43, 71)(52, 84)(57, 89)(58, 93)(68, 105)(75, 100)(78,
97)(80, 120)(90, 127)(102, 142)(109, 134)(112, 131)(114, 152)(117, 155)(123,
150)(136, 170)(139, 173)(145, 167)(161, 179)(163, 181)(187, 203)(189, 205)(260,
447)(263, 386)(265, 495)(266, 493)(270, 412)(271, 414)(291, 411)(293, 465)(298,
389)(299, 445)(302, 486)(303, 468)(317, 504)(318, 385)(319, 482)(320, 390)(322,
330)(329, 345)(334, 350)(338, 352)(399, 420)(401, 490)(405, 470)(442, 474)
a2: (44, 69)(59, 91)(76, 110)(81, 103)(98, 132)(115, 137)(118, 140)(151,
168)(328, 336)(331, 343)(407, 439)(415, 444)
b2: (72, 106)(79, 113)(81, 151, 115, 118)(94, 128)(101, 135)(103, 168, 137,
140)(121, 174, 153, 146)(124, 143, 156, 171)(126, 180, 148, 162)(158, 204, 176,
188)(160, 182, 178, 164)(186, 206, 202, 190)(283, 314, 300, 310)(290, 312, 313,
297)(323, 454)(328, 407)(331, 415)(336, 439)(340, 497)(343, 444)(346, 498)(348,
448)(354, 494)(355, 423)(356, 421)(358, 464)(360, 398)(361, 434)(363, 467)(366,
499)(394, 475, 466, 419)(400, 496, 469, 408)
c2: (2, 5)(3, 17)(4, 25)(6, 9)(7, 19, 15, 32)(8, 30)(10, 13)(11, 27, 23, 47)(12,
22)(16, 50)(18, 53, 31, 85)(20, 41, 28, 56)(21, 44)(24, 35)(26, 38, 46, 63)(29,
59)(33, 66, 48, 88)(34, 69)(36, 45, 83, 92)(37, 106, 62, 72)(39, 108)(40, 76,
55, 98)(42, 113, 89, 101)(43, 81, 68, 115)(49, 91)(51, 60, 61, 70)(52, 128, 84,
94)(54, 130)(57, 135, 67, 79)(58, 103, 90, 137)(64, 74)(65, 110, 87, 132)(71,
118)(73, 138)(75, 143, 131, 153)(77, 169, 111, 149)(78, 146, 100, 124)(80, 126,
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182)(147, 184, 175, 208)(150, 186, 167, 202)(152, 188)(155, 190)(159, 194)(161,
196, 187, 220)(163, 198)(165, 200, 183, 216)(170, 204)(173, 206)(177, 210)(179,
212, 203, 234)(181, 214)(185, 218)(189, 222)(191, 224, 207, 238)(193, 226, 231,
252)(195, 228)(197, 230, 221, 250)(201, 232)(205, 236)(209, 240, 217, 246)(211,
242)(213, 244, 235, 256)(215, 223)(219, 248)(225, 241, 245, 227)(229, 243, 255,
249)(233, 254)(239, 253, 251, 247)(257, 321)(258, 342)(259, 511)(260, 358)(261,
327, 262, 347)(263, 360)(264, 461)(265, 363)(266, 331)(267, 392)(268, 325)(269,
335)(270, 366)(271, 354)(272, 370)(273, 374, 296, 376)(274, 502, 280, 463)(275,
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330)(291, 340, 317, 348)(292, 341)(293, 343)(294, 472)(295, 326)(297, 322, 312,
334)(298, 323, 318, 346)(299, 355)(300, 329)(301, 351)(302, 361)(303, 356)(305,
349)(306, 488)(307, 344)(308, 506)(309, 339, 311, 324)(310, 352, 314, 345)(313,
350)(315, 332)(319, 336)(320, 328)(353, 480)(357, 424, 367, 478)(359, 431, 362,
426)(364, 395)(365, 473)(368, 406)(377, 462, 378, 471)(379, 402, 380, 422)(381,
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496)(444, 465)(447, 467)(452, 503, 455, 481)(457, 509)(458, 479)(464, 495)(477,
487)(489, 507)(500, 505)(508, 512)
d2: (1, 3)(2, 6)(4, 5)(7, 64)(8, 9, 16, 17)(10, 14)(11, 86)(12, 13, 24, 25)(15,
39)(18, 32)(19, 31)(20, 104, 33, 138)(21, 22, 29, 30)(23, 54)(26, 47)(27,
46)(28, 82, 48, 116)(34, 35, 49, 50)(36, 133)(37, 63, 52, 85)(38, 84, 53,
62)(40, 56)(41, 55)(42, 92)(43, 44)(45, 89)(51, 111)(57, 70)(58, 59)(60, 67)(61,
99)(65, 88)(66, 87)(68, 69)(71, 72, 105, 106)(73, 74)(75, 98)(76, 97)(77,
83)(78, 101, 112, 135)(79, 134, 113, 100)(80, 81, 114, 115)(90, 91)(93, 94, 127,
128)(95, 96)(102, 103, 136, 137)(107, 108)(109, 132)(110, 131)(117, 151, 150,
118)(119, 154)(120, 121, 170, 171)(122, 141)(123, 156, 173, 146)(124, 145, 174,
155)(125, 126, 175, 176)(129, 130)(139, 168, 167, 140)(142, 143, 152, 153)(144,
169)(147, 148, 157, 158)(149, 172)(159, 186, 201, 178)(160, 177, 202, 185)(161,
180, 203, 188)(162, 187, 204, 179)(163, 206, 205, 164)(165, 166, 183, 184)(181,
190, 189, 182)(191, 192, 207, 208)(193, 194, 209, 210)(195, 212, 211, 196)(197,
214, 213, 198)(199, 200)(215, 216)(217, 218, 231, 232)(219, 234, 233, 220)(221,
236, 235, 222)(223, 224)(225, 226)(227, 228)(229, 230)(237, 238)(239, 240)(241,
242)(243, 244)(245, 246)(247, 248)(249, 250)(251, 252)(253, 254)(255, 256)(257,
259)(258, 294)(260, 283, 265, 300)(261, 279)(262, 272)(263, 312, 302, 297)(264,
390)(266, 406)(267, 465)(268, 277)(269, 316)(270, 314, 271, 310)(273, 301)(274,
411)(275, 493)(276, 278)(280, 504)(281, 295)(282, 287)(284, 309)(285, 305)(286,
385)(288, 311)(289, 482)(290, 299, 313, 303)(291, 426)(292, 308)(293, 473)(296,
315)(298, 424)(304, 389)(306, 307)(317, 431)(318, 478)(319, 480)(320, 395)(322,
328)(323, 350, 346, 330)(329, 348, 338, 340)(331, 345)(334, 336)(343, 352)(353,
506, 364, 511)(354, 376, 366, 374)(355, 373, 356, 370)(357, 440)(358, 372, 363,
371)(359, 501)(360, 369, 361, 375)(362, 476)(365, 488, 368, 472)(367, 443)(377,
463)(378, 502)(379, 492)(380, 435)(381, 461, 510, 413)(382, 450, 512, 392)(383,
425)(384, 433)(386, 469, 486, 400)(387, 484)(388, 467, 457, 464)(391, 428)(393,
417)(394, 495, 466, 447)(396, 452)(397, 409)(398, 453, 434, 430)(399, 439)(401,
444)(402, 416)(403, 446)(404, 460)(405, 498, 420, 454)(407, 470)(408, 445, 496,
468)(410, 423, 505, 421)(412, 419, 414, 475)(415, 474)(418, 438)(422, 489)(427,
477)(429, 459)(432, 449)(436, 471)(437, 487)(441, 500)(442, 497, 490, 448)(451,
485)(455, 483)(456, 509)(458, 507)(462, 479)(481, 499, 503, 494)(491, 508)
e2: (38, 63)(45, 70)(53, 85)(60, 92)(76, 98)(79, 101)(110, 132)(113, 135)(274,
280)(286, 304)(424, 478)(426, 431)
f2: (72, 106)(79, 113)(81, 151, 115, 118)(94, 128)(101, 135)(103, 168, 137,
140)(121, 174, 153, 146)(124, 143, 156, 171)(126, 180, 148, 162)(158, 204, 176,
188)(159, 185)(160, 182, 178, 164)(163, 189)(165, 193)(166, 194, 192, 218)(177,
201)(181, 205)(183, 209)(184, 210, 208, 232)(186, 206, 202, 190)(191, 217)(195,
213)(196, 198, 220, 222)(197, 211)(199, 227)(200, 228, 216, 242)(207, 231)(212,
214, 234, 236)(215, 241)(219, 235)(221, 233)(223, 247)(224, 248, 238, 254)(225,
229)(226, 230, 240, 244)(237, 253)(239, 243)(245, 249)(246, 250, 252, 256)(251,
255)(261, 287)(262, 269)(272, 282, 279, 316)(273, 284, 296, 288)(283, 314, 300,
310)(290, 312, 313, 297)(301, 309)(311, 315)(323, 454)(324, 327)(328, 407)(331,
415)(332, 333)(335, 351)(336, 439)(339, 347)(340, 497)(343, 444)(346, 498)(348,
448)(354, 360)(355, 358)(356, 363)(361, 366)(369, 481)(370, 388)(371, 505)(372,
410)(373, 457)(374, 430)(375, 503)(376, 453)(384, 460)(387, 484)(391, 452, 509,
455)(394, 475, 466, 419)(396, 456)(397, 409)(398, 494)(400, 496, 469, 408)(403,
446)(404, 459, 500, 433)(421, 467)(423, 464)(428, 483)(429, 441)(434, 499)(451,
485)
g2: (194, 218)(198, 222)(210, 232)(214, 236)(228, 242)(230, 244)(248, 254)(250,
256)(272, 279)(284, 288)(391, 509)(404, 500)
h2: (8, 16)(12, 24)(20, 33)(21, 29)(28, 48)(34, 49)(37, 52)(62, 84)(353,
364)(365, 368)(392, 450)(413, 461)
m2: (38, 63)(44, 72, 69, 106)(45, 70)(53, 85)(59, 94, 91, 128)(60, 92)(76, 101,
110, 135)(79, 132, 113, 98)(81, 121, 103, 143)(115, 153, 137, 171)(118, 124,
140, 146)(151, 156, 168, 174)(264, 395)(267, 473)(274, 426)(275, 406)(280,
431)(283, 466)(286, 478)(289, 480)(290, 496)(297, 400)(300, 394)(304, 424)(310,
475)(312, 469)(313, 408)(314, 419)(323, 336, 346, 328)(331, 348, 343, 340)(407,
498, 439, 454)(415, 497, 444, 448)
n3: (22, 35)(30, 50)(41, 66)(44, 59)(56, 88)(69, 91)(72, 94)(106, 128)(264,
289)(267, 275)(395, 480)(406, 473)
a3: (39, 64)(54, 86)(77, 99)(82, 104)(111, 133)(116, 138)(122, 154)(144,
172)(268, 276)(295, 305)(416, 489)(436, 479)
b3: (117, 150)(123, 155)(125, 159)(139, 167)(145, 173)(147, 177)(157, 185)(161,
181)(163, 179)(165, 195)(175, 201)(183, 211)(187, 205)(189, 203)(191, 219)(193,
197)(207, 233)(209, 213)(217, 221)(231, 235)(260, 445)(261, 441)(262, 460)(263,
414)(265, 468)(269, 384)(270, 486)(271, 386)(287, 429)(299, 447)(301, 396)(302,
412)(303, 495)(309, 456)(311, 428)(315, 483)(369, 370)(371, 376)(372, 374)(373,
375)(388, 503)(410, 453)(430, 505)(457, 481)
c3: (72, 106)(79, 113)(94, 128)(101, 135)(121, 143)(124, 146)(153, 171)(156,
174)(323, 346)(340, 348)(448, 497)(454, 498)
d3: (165, 191)(183, 207)(195, 219)(199, 215)(211, 233)(223, 237)(225, 239)(245,
251)(269, 287)(301, 315)(384, 429)(396, 483)
e3: (73, 107)(74, 108)(95, 129)(96, 130)(119, 149)(122, 144)(141, 169)(154,
172)(325, 337)(326, 349)(418, 458)(438, 507)
f3: (19, 32)(27, 47)(41, 56)(45, 60)(66, 88)(70, 92)(77, 111)(99, 133)(377,
378)(379, 380)(440, 443)(476, 501)
g3: (21, 34)(29, 49)(40, 65)(43, 58)(55, 87)(68, 90)(71, 93)(105, 127)(266,
293)(319, 320)(390, 482)(465, 493)
h3: (126, 160)(148, 178)(158, 186)(162, 164)(166, 196)(176, 202)(180, 182)(184,
212)(188, 190)(192, 220)(194, 222)(198, 218)(204, 206)(208, 234)(210, 236)(214,
232)(228, 242)(230, 244)(248, 254)(250, 256)(272, 500)(273, 452)(279, 404)(282,
459)(283, 408)(284, 391)(288, 509)(290, 394)(296, 455)(297, 419)(300, 496)(310,
469)(312, 475)(313, 466)(314, 400)(316, 433)(354, 358)(355, 360)(356, 361)(363,
366)(398, 423)(421, 434)(464, 494)(467, 499)
m3: (126, 160)(148, 178)(158, 186)(162, 164)(166, 220)(176, 202)(180, 182)(184,
234)(188, 190)(192, 196)(194, 222)(198, 218)(199, 225)(200, 240)(204, 206)(208,
212)(210, 236)(214, 232)(215, 239)(216, 226)(223, 245)(224, 252)(227, 229)(228,
244)(230, 242)(237, 251)(238, 246)(241, 243)(247, 249)(248, 256)(250, 254)(253,
255)(261, 428)(262, 456)(269, 396)(272, 288)(273, 282)(279, 284)(283, 408)(287,
483)(290, 394)(296, 316)(297, 419)(300, 496)(301, 384)(309, 460)(310, 469)(311,
441)(312, 475)(313, 466)(314, 400)(315, 429)(324, 332)(327, 333)(335, 347)(339,
351)(354, 358)(355, 360)(356, 361)(363, 366)(387, 485)(391, 404)(397, 403)(398,
423)(409, 446)(421, 434)(433, 455)(451, 484)(452, 459)(464, 494)(467, 499)(500,
509)
n4: (125, 157)(147, 175)(161, 187)(165, 183)(179, 203)(191, 207)(193, 209)(217,
231)(369, 375)(374, 376)(430, 453)(481, 503)
a4: (81, 115)(103, 137)(121, 153)(126, 148)(143, 171)(158, 176)(160, 178)(186,
202)(297, 312)(310, 314)(400, 469)(419, 475)
b4: (3, 6)(4, 10)(8, 26, 16, 46)(12, 18, 24, 31)(20, 36, 33, 61)(21, 40, 29,
55)(28, 51, 48, 83)(34, 65, 49, 87)(37, 67, 52, 89)(42, 84, 57, 62)(73, 95)(75,
97)(78, 100)(107, 129)(109, 131)(112, 134)(259, 432)(266, 390)(277, 462)(278,
471)(281, 422)(285, 402)(291, 385)(293, 482)(294, 437)(298, 504)(306, 508)(308,
417)(317, 389)(318, 411)(319, 465)(320, 493)(353, 367, 364, 357)(359, 365, 362,
368)(392, 502, 450, 463)(413, 492, 461, 435)
c4: (3, 6)(4, 10)(8, 12)(16, 24)(18, 26)(31, 46)(73, 95)(107, 129)(259,
308)(294, 306)(417, 432)(437, 508)
d4: (43, 68)(58, 90)(75, 109)(80, 102)(97, 131)(114, 136)(117, 139)(150,
167)(322, 334)(345, 352)(399, 470)(401, 474)
e4: (166, 192)(184, 208)(196, 220)(200, 216)(212, 234)(224, 238)(226, 240)(246,
252)(273, 296)(282, 316)(433, 459)(452, 455)
C4[ 512, 47 ]
512
-1 321 257 393 383
-2 321 292 383 449
-3 321 259 425 417
-4 341 477 259 417
-5 341 257 393 427
-6 308 321 432 425
-7 342 402 383 285
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0