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