Graph forms
for C4 [ 512, 425 ] =
BGCG(UG(ATD[128,69]);K2;{3,4})
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[Families]
On this page are computer-accessible forms for the graph C4[ 512, 425 ] =
BGCG(UG(ATD[128,69]);K2;{3,4}).
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {256, 287}, {256, 296}, {256, 309}, {256, 348}, {43, 299}, {149,
405}, {147, 403}, {69, 325}, {72, 328}, {237, 493}, {127, 382}, {204, 461},
{207, 462}, {214, 471}, {219, 474}, {24, 282}, {253, 511}, {134, 388}, {45,
303}, {97, 355}, {114, 369}, {132, 391}, {174, 429}, {191, 444}, {8, 268}, {146,
406}, {44, 296}, {53, 305}, {234, 494}, {243, 503}, {66, 327}, {67, 326}, {11,
269}, {59, 317}, {169, 431}, {25, 286}, {151, 400}, {95, 344}, {211, 468}, {144,
408}, {185, 433}, {209, 473}, {224, 488}, {77, 327}, {189, 439}, {18, 281}, {92,
343}, {120, 372}, {212, 472}, {214, 474}, {217, 469}, {236, 480}, {57, 308},
{98, 367}, {191, 434}, {210, 479}, {4, 266}, {91, 341}, {198, 456}, {6, 265},
{147, 412}, {130, 397}, {69, 330}, {78, 321}, {195, 460}, {63, 303}, {141, 413},
{66, 338}, {179, 419}, {5, 276}, {38, 311}, {43, 314}, {182, 423}, {26, 264},
{127, 365}, {39, 309}, {251, 488}, {45, 313}, {126, 362}, {162, 438}, {4, 273},
{124, 361}, {7, 274}, {88, 334}, {143, 409}, {140, 410}, {95, 329}, {185, 431},
{98, 373}, {53, 301}, {76, 340}, {102, 382}, {104, 368}, {165, 445}, {100, 381},
{117, 364}, {177, 424}, {16, 266}, {253, 487}, {42, 304}, {86, 332}, {173, 438},
{24, 260}, {246, 490}, {156, 384}, {48, 300}, {216, 452}, {31, 258}, {255, 482},
{252, 481}, {249, 484}, {138, 407}, {78, 339}, {168, 437}, {177, 428}, {228,
505}, {150, 393}, {175, 432}, {44, 268}, {96, 320}, {199, 487}, {233, 457}, {15,
302}, {152, 441}, {29, 316}, {59, 282}, {72, 361}, {212, 501}, {215, 502}, {240,
465}, {151, 437}, {222, 508}, {228, 454}, {243, 465}, {126, 349}, {6, 290}, {9,
301}, {23, 307}, {184, 412}, {15, 298}, {17, 308}, {46, 267}, {229, 448}, {3,
293}, {192, 486}, {210, 500}, {94, 377}, {245, 466}, {224, 455}, {179, 411},
{199, 495}, {231, 463}, {137, 416}, {147, 442}, {140, 421}, {184, 401}, {114,
344}, {81, 378}, {154, 433}, {138, 417}, {129, 426}, {190, 405}, {213, 510},
{111, 323}, {198, 490}, {226, 462}, {46, 259}, {193, 492}, {196, 489}, {221,
496}, {236, 449}, {2, 300}, {135, 425}, {87, 377}, {93, 371}, {180, 410}, {237,
451}, {78, 353}, {84, 379}, {91, 372}, {183, 408}, {202, 485}, {210, 509}, {235,
452}, {52, 260}, {116, 324}, {193, 497}, {239, 479}, {32, 273}, {157, 428},
{154, 427}, {142, 447}, {196, 501}, {234, 475}, {12, 318}, {19, 289}, {45, 287},
{242, 448}, {23, 292}, {153, 426}, {43, 280}, {177, 386}, {200, 507}, {33, 277},
{50, 262}, {103, 339}, {198, 498}, {228, 464}, {54, 259}, {250, 463}, {118,
323}, {83, 358}, {95, 362}, {179, 390}, {243, 454}, {22, 288}, {133, 435}, {20,
291}, {131, 436}, {21, 290}, {188, 395}, {202, 498}, {218, 482}, {81, 360},
{145, 424}, {179, 394}, {85, 367}, {131, 441}, {92, 358}, {176, 394}, {89, 354},
{159, 420}, {149, 430}, {229, 478}, {68, 376}, {181, 393}, {88, 357}, {248,
453}, {142, 435}, {109, 336}, {195, 510}, {7, 313}, {120, 326}, {34, 284}, {95,
353}, {103, 345}, {64, 383}, {156, 419}, {69, 378}, {176, 399}, {209, 494}, {55,
375}, {254, 446}, {152, 472}, {138, 458}, {192, 384}, {104, 297}, {170, 491},
{20, 342}, {131, 449}, {82, 272}, {178, 496}, {213, 407}, {240, 434}, {196,
391}, {16, 340}, {146, 470}, {119, 307}, {79, 267}, {164, 480}, {34, 359}, {125,
312}, {83, 278}, {213, 400}, {215, 402}, {42, 364}, {246, 432}, {54, 368}, {188,
506}, {191, 505}, {239, 425}, {8, 335}, {248, 447}, {112, 311}, {39, 352}, {220,
411}, {59, 371}, {145, 473}, {197, 397}, {70, 271}, {155, 466}, {139, 450}, {8,
322}, {136, 450}, {21, 351}, {172, 486}, {175, 485}, {37, 366}, {61, 374}, {74,
257}, {52, 376}, {189, 497}, {194, 398}, {234, 422}, {74, 263}, {118, 315},
{113, 316}, {93, 272}, {161, 492}, {166, 491}, {217, 404}, {163, 493}, {244,
442}, {205, 387}, {236, 418}, {7, 328}, {155, 468}, {47, 352}, {58, 373}, {77,
258}, {84, 283}, {199, 392}, {11, 347}, {97, 305}, {101, 309}, {13, 348}, {250,
427}, {247, 422}, {244, 421}, {31, 334}, {58, 363}, {169, 504}, {178, 483},
{206, 415}, {239, 446}, {2, 336}, {255, 429}, {143, 477}, {12, 350}, {79, 285},
{106, 312}, {161, 499}, {222, 396}, {4, 343}, {123, 296}, {14, 349}, {25, 333},
{27, 335}, {71, 275}, {169, 509}, {233, 445}, {40, 381}, {137, 476}, {65, 276},
{99, 310}, {103, 306}, {188, 489}, {20, 322}, {26, 332}, {65, 279}, {107, 317},
{13, 346}, {249, 430}, {113, 294}, {22, 321}, {73, 286}, {88, 271}, {184, 495},
{220, 395}, {28, 324}, {252, 420}, {80, 264}, {99, 315}, {174, 503}, {218, 387},
{166, 508}, {48, 363}, {158, 453}, {43, 375}, {79, 275}, {170, 502}, {211, 399},
{232, 436}, {129, 476}, {134, 475}, {35, 380}, {116, 299}, {164, 507}, {201,
406}, {97, 257}, {190, 478}, {2, 355}, {158, 511}, {5, 356}, {188, 477}, {59,
345}, {251, 409}, {75, 297}, {17, 370}, {28, 383}, {50, 337}, {64, 291}, {229,
390}, {86, 306}, {91, 319}, {163, 455}, {168, 460}, {180, 464}, {224, 388}, {66,
295}, {159, 506}, {122, 287}, {126, 280}, {222, 440}, {5, 354}, {22, 369}, {53,
338}, {61, 346}, {77, 298}, {105, 270}, {172, 459}, {226, 389}, {163, 459},
{201, 416}, {247, 414}, {203, 418}, {80, 314}, {109, 263}, {29, 374}, {32, 331},
{233, 386}, {16, 380}, {117, 281}, {241, 413}, {160, 461}, {165, 456}, {107,
261}, {253, 403}, {250, 404}, {141, 483}, {138, 484}, {121, 279}, {217, 439},
{75, 292}, {102, 265}, {238, 385}, {11, 379}, {102, 278}, {80, 289}, {99, 274},
{208, 417}, {36, 342}, {39, 341}, {1, 370}, {110, 285}, {29, 366}, {56, 331},
{76, 319}, {160, 467}, {165, 470}, {185, 458}, {203, 440}, {97, 277}, {104,
284}, {183, 451}, {200, 444}, {235, 415}, {148, 481}, {27, 365}, {112, 262},
{30, 360}, {40, 350}, {18, 357}, {162, 469}, {164, 467}, {190, 457}, {204, 443},
{41, 337}, {117, 269}, {93, 293}, {99, 283}, {175, 471}, {195, 443}, {230, 414},
{73, 304}, {129, 504}, {124, 261}, {87, 302}, {30, 356}, {251, 385}, {142, 500},
{137, 499}, {38, 348}, {49, 330}, {247, 396}, {54, 333}, {243, 392}, {90, 294},
{249, 389}, {114, 270}, {238, 402}, {218, 423}, {236, 401}, {25, 359}, {33,
351}, {55, 329}, {62, 320}, {64, 318}, {58, 325}, {241, 398}, {46, 430}, {47,
431}, {83, 467}, {242, 370}, {70, 455}, {152, 281}, {190, 319}, {76, 462}, {255,
381}, {79, 461}, {91, 473}, {21, 406}, {136, 267}, {109, 494}, {84, 471}, {197,
326}, {63, 443}, {153, 285}, {220, 344}, {6, 387}, {139, 270}, {61, 440}, {170,
303}, {187, 318}, {205, 328}, {225, 356}, {195, 325}, {16, 407}, {18, 405}, {19,
404}, {96, 487}, {106, 493}, {171, 300}, {181, 306}, {232, 367}, {19, 411},
{146, 282}, {67, 459}, {223, 343}, {57, 432}, {150, 287}, {185, 307}, {194,
328}, {57, 434}, {248, 371}, {115, 504}, {81, 474}, {172, 295}, {2, 398}, {134,
266}, {4, 392}, {197, 329}, {204, 320}, {206, 322}, {132, 265}, {173, 288},
{219, 342}, {63, 433}, {86, 472}, {86, 473}, {111, 480}, {89, 470}, {191, 304},
{200, 327}, {167, 310}, {255, 366}, {238, 383}, {10, 408}, {171, 313}, {226,
368}, {13, 414}, {194, 337}, {226, 374}, {12, 409}, {125, 488}, {15, 410}, {216,
333}, {223, 330}, {9, 415}, {252, 362}, {135, 273}, {133, 275}, {132, 274}, {49,
423}, {34, 437}, {254, 361}, {51, 420}, {173, 314}, {23, 399}, {45, 437}, {41,
432}, {144, 265}, {49, 427}, {121, 483}, {206, 340}, {228, 382}, {37, 446},
{152, 259}, {88, 451}, {176, 299}, {181, 302}, {219, 320}, {230, 381}, {22,
394}, {123, 487}, {154, 263}, {173, 304}, {214, 331}, {40, 438}, {245, 363},
{159, 257}, {127, 481}, {124, 482}, {54, 424}, {100, 506}, {166, 312}, {118,
489}, {204, 339}, {48, 400}, {254, 350}, {128, 288}, {55, 407}, {23, 438}, {115,
466}, {82, 499}, {100, 453}, {24, 442}, {145, 307}, {143, 301}, {112, 466}, {84,
502}, {87, 501}, {174, 268}, {187, 281}, {200, 362}, {237, 335}, {56, 411},
{151, 308}, {105, 458}, {117, 465}, {222, 378}, {64, 485}, {131, 294}, {94,
507}, {213, 368}, {242, 343}, {143, 297}, {157, 315}, {128, 295}, {137, 302},
{134, 289}, {172, 267}, {1, 425}, {10, 418}, {26, 434}, {62, 406}, {85, 509},
{96, 456}, {107, 451}, {209, 377}, {212, 380}, {219, 371}, {109, 452}, {130,
299}, {221, 372}, {12, 422}, {122, 464}, {19, 441}, {56, 402}, {65, 491}, {174,
260}, {100, 463}, {239, 324}, {74, 486}, {82, 510}, {206, 354}, {7, 426}, {52,
409}, {215, 378}, {68, 490}, {108, 450}, {51, 412}, {70, 489}, {71, 488}, {98,
461}, {3, 435}, {148, 292}, {25, 425}, {49, 385}, {60, 396}, {5, 436}, {147,
290}, {140, 317}, {68, 502}, {246, 324}, {160, 274}, {82, 480}, {93, 495}, {182,
260}, {65, 498}, {108, 479}, {196, 375}, {231, 340}, {72, 508}, {151, 291},
{149, 289}, {17, 423}, {128, 310}, {115, 453}, {26, 428}, {29, 427}, {51, 389},
{106, 476}, {209, 359}, {211, 357}, {223, 361}, {70, 497}, {71, 496}, {103,
464}, {161, 278}, {178, 261}, {180, 259}, {244, 323}, {21, 429}, {120, 448},
{28, 420}, {101, 477}, {217, 353}, {3, 442}, {48, 393}, {162, 283}, {220, 357},
{14, 436}, {51, 393}, {58, 384}, {74, 497}, {90, 481}, {31, 419}, {81, 493},
{171, 279}, {197, 377}, {135, 314}, {248, 325}, {223, 354}, {231, 346}, {67,
509}, {120, 454}, {216, 358}, {53, 394}, {71, 391}, {135, 327}, {92, 412}, {3,
450}, {148, 341}, {112, 433}, {161, 352}, {170, 363}, {202, 264}, {232, 298},
{10, 457}, {247, 308}, {144, 339}, {126, 445}, {83, 400}, {180, 375}, {207,
268}, {60, 505}, {111, 426}, {63, 506}, {186, 383}, {42, 492}, {87, 401}, {211,
277}, {18, 469}, {27, 467}, {56, 496}, {165, 365}, {189, 373}, {202, 258}, {212,
284}, {216, 272}, {240, 312}, {8, 449}, {136, 321}, {44, 485}, {47, 486}, {77,
388}, {11, 449}, {253, 311}, {246, 316}, {27, 465}, {33, 491}, {38, 492}, {89,
403}, {162, 360}, {241, 315}, {17, 474}, {155, 336}, {69, 398}, {107, 416}, {68,
392}, {186, 374}, {205, 257}, {35, 494}, {130, 335}, {116, 441}, {114, 447},
{85, 408}, {108, 417}, {14, 448}, {24, 471}, {61, 498}, {66, 397}, {106, 421},
{183, 376}, {187, 372}, {92, 396}, {142, 350}, {15, 478}, {154, 331}, {140,
349}, {127, 430}, {207, 286}, {9, 475}, {159, 333}, {119, 421}, {116, 422},
{111, 445}, {193, 275}, {221, 271}, {171, 376}, {199, 276}, {225, 306}, {229,
310}, {121, 429}, {150, 322}, {141, 345}, {201, 285}, {241, 293}, {33, 500},
{148, 321}, {94, 395}, {235, 318}, {46, 504}, {141, 347}, {122, 428}, {50, 484},
{60, 490}, {73, 415}, {168, 382}, {186, 364}, {198, 272}, {227, 309}, {231,
305}, {41, 510}, {153, 334}, {139, 348}, {105, 446}, {208, 263}, {30, 454},
{136, 336}, {36, 508}, {39, 511}, {163, 379}, {244, 300}, {118, 431}, {182,
367}, {193, 280}, {1, 475}, {250, 288}, {6, 476}, {85, 399}, {101, 447}, {104,
435}, {128, 347}, {207, 276}, {73, 405}, {251, 295}, {132, 344}, {176, 364},
{38, 507}, {50, 495}, {210, 271}, {234, 311}, {41, 503}, {90, 388}, {42, 501},
{156, 323}, {124, 419}, {224, 319}, {227, 316}, {44, 460}, {145, 369}, {101,
389}, {178, 338}, {89, 440}, {249, 280}, {123, 410}, {187, 346}, {203, 298},
{37, 455}, {60, 478}, {28, 511}, {40, 459}, {62, 477}, {96, 387}, {225, 258},
{98, 390}, {150, 370}, {133, 353}, {181, 337}, {189, 345}, {192, 292}, {205,
297}, {233, 269}, {237, 264}, {31, 505}, {133, 355}, {130, 356}, {201, 303},
{214, 305}, {105, 385}, {157, 373}, {203, 291}, {10, 483}, {254, 279}, {125,
404}, {122, 403}, {13, 484}, {94, 439}, {208, 313}, {75, 417}, {119, 413}, {194,
296}, {35, 456}, {144, 379}, {110, 386}, {160, 332}, {230, 266}, {235, 262},
{32, 462}, {110, 384}, {78, 416}, {35, 460}, {245, 282}, {113, 414}, {36, 468},
{157, 365}, {129, 369}, {37, 469}, {57, 457}, {76, 444}, {175, 351}, {238, 286},
{153, 360}, {164, 341}, {167, 342}, {80, 418}, {90, 424}, {208, 290}, {227,
273}, {55, 452}, {72, 443}, {230, 277}, {232, 283}, {32, 468}, {146, 358}, {115,
391}, {34, 470}, {62, 458}, {184, 332}, {149, 352}, {155, 366}, {168, 349},
{240, 261}, {1, 503}, {20, 482}, {47, 472}, {139, 380}, {225, 278}, {167, 351},
{177, 329}, {182, 334}, {123, 386}, {158, 359}, {215, 301}, {252, 262}, {36,
479}, {245, 270}, {52, 463}, {102, 413}, {169, 338}, {221, 294}, {75, 439},
{119, 395}, {113, 397}, {186, 326}, {9, 500}, {158, 355}, {14, 499}, {166, 347},
{183, 330}, {192, 317}, {108, 402}, {67, 444}, {121, 390}, {110, 401}, {218,
293}, {227, 284}, {242, 269}, {30, 512}, {125, 512}, {156, 512}, {167, 512}
}>;
(II) A more general form is to represent the graph as the orbit of {256, 287}
under the group generated by the following permutations:
a: (1, 5)(2, 6)(3, 7)(4, 8)(9, 30)(10, 29)(11, 32)(12, 31)(13, 26)(14, 25)(15,
28)(16, 27)(17, 65)(18, 67)(19, 66)(20, 68)(21, 69)(22, 71)(23, 70)(24, 72)(33,
81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 91)(43,
90)(44, 92)(45, 93)(46, 95)(47, 94)(48, 96)(49, 121)(50, 122)(51, 123)(52,
124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 61)(58, 62)(59, 63)(60, 64)(73,
120)(74, 119)(75, 118)(76, 117)(77, 116)(78, 115)(79, 114)(80, 113)(97, 106)(98,
105)(99, 108)(100, 107)(101, 110)(102, 109)(103, 112)(104, 111)(129, 133)(130,
134)(131, 135)(132, 136)(137, 158)(138, 157)(139, 160)(140, 159)(141, 154)(142,
153)(143, 156)(144, 155)(145, 193)(146, 195)(147, 194)(148, 196)(149, 197)(150,
199)(151, 198)(152, 200)(161, 209)(162, 210)(163, 211)(164, 212)(165, 213)(166,
214)(167, 215)(168, 216)(169, 217)(170, 219)(171, 218)(172, 220)(173, 221)(174,
223)(175, 222)(176, 224)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182,
254)(183, 255)(184, 256)(185, 189)(186, 190)(187, 191)(188, 192)(201, 248)(202,
247)(203, 246)(204, 245)(205, 244)(206, 243)(207, 242)(208, 241)(225, 234)(226,
233)(227, 236)(228, 235)(229, 238)(230, 237)(231, 240)(232, 239)(257, 421)(258,
422)(259, 362)(260, 361)(261, 463)(262, 464)(263, 413)(264, 414)(265, 336)(266,
335)(267, 344)(268, 343)(269, 462)(270, 461)(271, 438)(272, 437)(273, 449)(274,
450)(275, 369)(276, 370)(277, 493)(278, 494)(279, 423)(280, 424)(281, 444)(282,
443)(283, 479)(284, 480)(285, 447)(286, 448)(287, 495)(288, 496)(289, 397)(290,
398)(291, 490)(292, 489)(293, 313)(294, 314)(295, 411)(296, 412)(297, 323)(298,
324)(299, 388)(300, 387)(301, 512)(302, 511)(303, 371)(304, 372)(305, 312)(306,
311)(307, 497)(308, 498)(309, 401)(310, 402)(315, 417)(316, 418)(317, 506)(318,
505)(319, 364)(320, 363)(321, 391)(322, 392)(325, 406)(326, 405)(327, 441)(328,
442)(329, 430)(330, 429)(331, 347)(332, 348)(333, 349)(334, 350)(337, 403)(338,
404)(339, 466)(340, 465)(341, 501)(342, 502)(345, 433)(346, 434)(351, 378)(352,
377)(353, 504)(354, 503)(355, 476)(356, 475)(357, 459)(358, 460)(359, 499)(360,
500)(365, 407)(366, 408)(367, 446)(368, 445)(373, 458)(374, 457)(375, 481)(376,
482)(379, 468)(380, 467)(381, 451)(382, 452)(383, 478)(384, 477)(385, 390)(386,
389)(393, 487)(394, 488)(395, 486)(396, 485)(399, 455)(400, 456)(409, 419)(410,
420)(415, 454)(416, 453)(425, 436)(426, 435)(427, 483)(428, 484)(431, 439)(432,
440)(469, 509)(470, 510)(471, 508)(472, 507)(473, 492)(474, 491) (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, 4)(5, 6)(7, 8)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14,
102)(15, 103)(16, 104)(17, 69)(18, 70)(19, 71)(20, 72)(21, 65)(22, 66)(23,
67)(24, 68)(25, 109)(26, 110)(27, 111)(28, 112)(29, 105)(30, 106)(31, 107)(32,
108)(34, 35)(38, 39)(41, 48)(42, 47)(43, 46)(44, 45)(50, 51)(54, 55)(57, 58)(59,
60)(61, 62)(63, 64)(73, 74)(75, 76)(77, 78)(79, 80)(82, 83)(86, 87)(89, 96)(90,
95)(91, 94)(92, 93)(113, 114)(115, 116)(117, 118)(119, 120)(122, 123)(126,
127)(129, 130)(131, 132)(133, 134)(135, 136)(137, 225)(138, 226)(139, 227)(140,
228)(141, 229)(142, 230)(143, 231)(144, 232)(145, 197)(146, 198)(147, 199)(148,
200)(149, 193)(150, 194)(151, 195)(152, 196)(153, 237)(154, 238)(155, 239)(156,
240)(157, 233)(158, 234)(159, 235)(160, 236)(162, 163)(166, 167)(169, 176)(170,
175)(171, 174)(172, 173)(178, 179)(182, 183)(185, 186)(187, 188)(189, 190)(191,
192)(201, 202)(203, 204)(205, 206)(207, 208)(210, 211)(214, 215)(217, 224)(218,
223)(219, 222)(220, 221)(241, 242)(243, 244)(245, 246)(247, 248)(250, 251)(254,
255)(257, 415)(258, 416)(259, 375)(260, 376)(261, 419)(262, 420)(263, 286)(264,
285)(265, 436)(266, 435)(267, 314)(268, 313)(269, 315)(270, 316)(271, 357)(272,
358)(273, 450)(274, 449)(275, 289)(276, 290)(277, 500)(278, 499)(279, 429)(280,
430)(281, 489)(282, 490)(283, 379)(284, 380)(287, 296)(288, 295)(291, 443)(292,
444)(293, 343)(294, 344)(297, 340)(298, 339)(299, 504)(300, 503)(301, 305)(302,
306)(303, 485)(304, 486)(307, 326)(308, 325)(309, 348)(310, 347)(311, 511)(312,
512)(317, 505)(318, 506)(319, 439)(320, 440)(321, 327)(322, 328)(323, 465)(324,
466)(329, 424)(330, 423)(331, 402)(332, 401)(333, 452)(334, 451)(335, 426)(336,
425)(337, 393)(338, 394)(341, 507)(342, 508)(345, 478)(346, 477)(349, 382)(350,
381)(351, 491)(352, 492)(353, 388)(354, 387)(355, 475)(356, 476)(359, 494)(360,
493)(361, 482)(362, 481)(363, 432)(364, 431)(365, 445)(366, 446)(367, 408)(368,
407)(369, 397)(370, 398)(371, 396)(372, 395)(373, 457)(374, 458)(377, 473)(378,
474)(383, 433)(384, 434)(385, 427)(386, 428)(389, 484)(390, 483)(391, 441)(392,
442)(399, 509)(400, 510)(403, 487)(404, 488)(405, 497)(406, 498)(409, 463)(410,
464)(411, 496)(412, 495)(413, 448)(414, 447)(417, 462)(418, 461)(421, 454)(422,
453)(437, 460)(438, 459)(455, 469)(456, 470)(467, 480)(468, 479)(471, 502)(472,
501)
c: (2, 3)(5, 60)(6, 58)(7, 59)(8, 57)(9, 234)(10, 236)(11, 233)(12, 235)(13,
231)(14, 229)(15, 232)(16, 230)(17, 150)(18, 152)(19, 149)(20, 151)(21, 195)(22,
193)(23, 196)(24, 194)(25, 239)(26, 237)(27, 240)(28, 238)(29, 226)(30, 228)(31,
225)(32, 227)(33, 35)(34, 36)(37, 54)(38, 53)(39, 56)(40, 55)(41, 174)(42,
176)(43, 173)(44, 175)(45, 219)(46, 217)(47, 220)(48, 218)(49, 51)(50, 52)(62,
63)(65, 198)(66, 200)(67, 197)(68, 199)(69, 147)(70, 145)(71, 148)(72, 146)(73,
116)(74, 114)(75, 115)(76, 113)(78, 79)(81, 122)(82, 121)(83, 124)(84, 123)(85,
87)(86, 88)(89, 222)(90, 224)(91, 221)(92, 223)(93, 171)(94, 169)(95, 172)(96,
170)(97, 139)(98, 137)(99, 140)(100, 138)(101, 154)(102, 156)(103, 153)(104,
155)(105, 159)(106, 157)(107, 160)(108, 158)(109, 142)(110, 144)(111, 141)(112,
143)(118, 119)(125, 127)(126, 128)(129, 189)(130, 191)(131, 190)(132, 192)(133,
136)(161, 179)(162, 180)(163, 177)(164, 178)(165, 166)(167, 168)(181, 182)(183,
184)(185, 188)(201, 204)(205, 245)(206, 247)(207, 246)(208, 248)(209, 210)(211,
212)(213, 255)(214, 256)(215, 253)(216, 254)(241, 244)(249, 250)(251, 252)(257,
270)(259, 469)(260, 337)(261, 467)(262, 409)(263, 447)(265, 384)(267, 353)(268,
432)(271, 473)(272, 279)(274, 317)(275, 321)(276, 490)(277, 380)(278, 419)(280,
288)(282, 328)(283, 410)(284, 468)(285, 339)(286, 324)(287, 474)(290, 325)(292,
391)(293, 300)(294, 319)(295, 362)(296, 471)(297, 466)(299, 304)(301, 311)(302,
367)(303, 320)(305, 348)(306, 334)(307, 489)(308, 322)(309, 331)(310, 349)(312,
365)(313, 371)(315, 421)(316, 462)(323, 413)(329, 459)(330, 412)(332, 451)(333,
446)(335, 434)(336, 435)(338, 507)(340, 414)(341, 496)(342, 437)(344, 486)(345,
426)(347, 445)(350, 452)(351, 460)(352, 411)(354, 396)(355, 450)(356, 505)(357,
472)(358, 361)(359, 479)(360, 464)(363, 387)(366, 368)(369, 497)(373, 476)(375,
438)(376, 495)(377, 509)(378, 403)(379, 386)(381, 407)(382, 512)(385, 420)(389,
427)(390, 499)(393, 423)(394, 492)(395, 431)(397, 444)(398, 442)(399, 501)(400,
482)(401, 408)(402, 511)(404, 430)(405, 441)(406, 443)(415, 422)(416, 461)(417,
453)(424, 455)(428, 493)(429, 510)(433, 477)(436, 478)(439, 504)(449, 457)(456,
491)(458, 506)(463, 484)(470, 508)(480, 483)(481, 488)(487, 502)(494, 500)
d: (1, 9, 33, 65, 61, 29, 49, 17)(2, 10, 34, 66, 62, 30, 50, 18)(3, 11, 35, 67,
63, 31, 51, 19)(4, 12, 36, 68, 64, 32, 52, 20)(5, 13, 37, 69, 57, 25, 53, 21)(6,
14, 38, 70, 58, 26, 54, 22)(7, 15, 39, 71, 59, 27, 55, 23)(8, 16, 40, 72, 60,
28, 56, 24)(41, 73, 97, 121, 89, 113, 105, 81)(42, 74, 98, 122, 90, 114, 106,
82)(43, 75, 99, 123, 91, 115, 107, 83)(44, 76, 100, 124, 92, 116, 108, 84)(45,
77, 101, 125, 93, 117, 109, 85)(46, 78, 102, 126, 94, 118, 110, 86)(47, 79, 103,
127, 95, 119, 111, 87)(48, 80, 104, 128, 96, 120, 112, 88)(129, 137, 161, 193,
189, 157, 177, 145)(130, 138, 162, 194, 190, 158, 178, 146)(131, 139, 163, 195,
191, 159, 179, 147)(132, 140, 164, 196, 192, 160, 180, 148)(133, 141, 165, 197,
185, 153, 181, 149)(134, 142, 166, 198, 186, 154, 182, 150)(135, 143, 167, 199,
187, 155, 183, 151)(136, 144, 168, 200, 188, 156, 184, 152)(169, 201, 225, 249,
217, 241, 233, 209)(170, 202, 226, 250, 218, 242, 234, 210)(171, 203, 227, 251,
219, 243, 235, 211)(172, 204, 228, 252, 220, 244, 236, 212)(173, 205, 229, 253,
221, 245, 237, 213)(174, 206, 230, 254, 222, 246, 238, 214)(175, 207, 231, 255,
223, 247, 239, 215)(176, 208, 232, 256, 224, 248, 240, 216)(257, 390, 403, 294,
270, 493, 510, 304)(258, 389, 404, 293, 269, 494, 509, 303)(259, 321, 265, 349,
507, 489, 384, 332)(260, 322, 266, 350, 508, 490, 383, 331)(261, 358, 299, 417,
283, 296, 319, 453)(262, 357, 300, 418, 284, 295, 320, 454)(263, 367, 287, 388,
447, 312, 272, 364)(264, 368, 288, 387, 448, 311, 271, 363)(267, 339, 382, 362,
395, 323, 401, 472)(268, 340, 381, 361, 396, 324, 402, 471)(273, 409, 342, 392,
318, 468, 376, 291)(274, 410, 341, 391, 317, 467, 375, 292)(275, 345, 365, 329,
307, 426, 302, 352)(276, 346, 366, 330, 308, 425, 301, 351)(277, 279, 440, 316,
385, 474, 503, 415)(278, 280, 439, 315, 386, 473, 504, 416)(281, 336, 408, 437,
327, 477, 512, 495)(282, 335, 407, 438, 328, 478, 511, 496)(285, 306, 430, 353,
413, 445, 377, 431)(286, 305, 429, 354, 414, 446, 378, 432)(289, 435, 347, 456,
326, 433, 334, 393)(290, 436, 348, 455, 325, 434, 333, 394)(297, 310, 487, 372,
466, 451, 400, 314)(298, 309, 488, 371, 465, 452, 399, 313)(337, 405, 355, 483,
470, 397, 458, 360)(338, 406, 356, 484, 469, 398, 457, 359)(343, 422, 479, 502,
485, 462, 463, 482)(344, 421, 480, 501, 486, 461, 464, 481)(369, 476, 499, 492,
497, 373, 428, 424)(370, 475, 500, 491, 498, 374, 427, 423)(379, 460, 444, 506,
419, 412, 441, 450)(380, 459, 443, 505, 420, 411, 442, 449)
e: (5, 113)(6, 114)(7, 115)(8, 116)(9, 17)(10, 18)(11, 19)(12, 20)(13, 89)(14,
90)(15, 91)(16, 92)(21, 105)(22, 106)(23, 107)(24, 108)(25, 41)(26, 42)(27,
43)(28, 44)(29, 65)(30, 66)(31, 67)(32, 68)(33, 49)(34, 50)(35, 51)(36, 52)(37,
121)(38, 122)(39, 123)(40, 124)(45, 112)(46, 111)(47, 110)(48, 109)(53, 81)(54,
82)(55, 83)(56, 84)(57, 73)(58, 74)(59, 75)(60, 76)(69, 97)(70, 98)(71, 99)(72,
100)(77, 120)(78, 119)(79, 118)(80, 117)(85, 88)(86, 87)(93, 104)(94, 103)(95,
102)(96, 101)(125, 128)(126, 127)(133, 241)(134, 242)(135, 243)(136, 244)(137,
145)(138, 146)(139, 147)(140, 148)(141, 217)(142, 218)(143, 219)(144, 220)(149,
233)(150, 234)(151, 235)(152, 236)(153, 169)(154, 170)(155, 171)(156, 172)(157,
193)(158, 194)(159, 195)(160, 196)(161, 177)(162, 178)(163, 179)(164, 180)(165,
249)(166, 250)(167, 251)(168, 252)(173, 240)(174, 239)(175, 238)(176, 237)(181,
209)(182, 210)(183, 211)(184, 212)(185, 201)(186, 202)(187, 203)(188, 204)(197,
225)(198, 226)(199, 227)(200, 228)(205, 248)(206, 247)(207, 246)(208, 245)(213,
216)(214, 215)(221, 232)(222, 231)(223, 230)(224, 229)(253, 256)(254, 255)(257,
325)(258, 326)(259, 480)(260, 479)(261, 438)(262, 437)(263, 363)(264, 364)(265,
344)(266, 343)(267, 323)(268, 324)(269, 289)(270, 290)(271, 367)(272, 368)(273,
392)(274, 391)(275, 315)(276, 316)(277, 330)(278, 329)(279, 366)(280, 365)(281,
418)(282, 417)(283, 496)(284, 495)(285, 431)(286, 432)(287, 311)(288, 312)(291,
318)(292, 317)(293, 435)(294, 436)(295, 512)(296, 511)(297, 371)(298, 372)(299,
335)(300, 336)(301, 474)(302, 473)(303, 433)(304, 434)(305, 378)(306, 377)(307,
416)(308, 415)(309, 487)(310, 488)(313, 466)(314, 465)(319, 478)(320, 477)(321,
421)(322, 422)(327, 454)(328, 453)(331, 502)(332, 501)(333, 510)(334, 509)(337,
359)(338, 360)(339, 395)(340, 396)(341, 410)(342, 409)(345, 439)(346, 440)(347,
404)(348, 403)(349, 481)(350, 482)(351, 385)(352, 386)(353, 413)(354, 414)(355,
398)(356, 397)(357, 408)(358, 407)(361, 381)(362, 382)(369, 476)(370, 475)(373,
497)(374, 498)(375, 467)(376, 468)(379, 411)(380, 412)(383, 485)(384, 486)(387,
447)(388, 448)(389, 456)(390, 455)(393, 494)(394, 493)(399, 451)(400, 452)(401,
472)(402, 471)(405, 457)(406, 458)(419, 459)(420, 460)(423, 500)(424, 499)(425,
503)(426, 504)(427, 491)(428, 492)(429, 446)(430, 445)(441, 449)(442, 450)(443,
506)(444, 505)(461, 489)(462, 490)(463, 508)(464, 507)(469, 483)(470, 484)
f: (2, 3)(6, 7)(9, 25)(10, 26)(11, 27)(12, 28)(13, 29)(14, 30)(15, 31)(16,
32)(17, 41)(18, 42)(19, 43)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(33, 34)(35,
36)(37, 38)(39, 40)(49, 50)(51, 52)(53, 54)(55, 56)(58, 59)(62, 63)(65, 89)(66,
90)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)(74, 75)(78, 79)(81, 82)(83,
84)(85, 86)(87, 88)(97, 104)(98, 103)(99, 102)(100, 101)(105, 112)(106,
111)(107, 110)(108, 109)(114, 115)(118, 119)(121, 122)(123, 124)(125, 126)(127,
128)(130, 131)(134, 135)(137, 153)(138, 154)(139, 155)(140, 156)(141, 157)(142,
158)(143, 159)(144, 160)(145, 169)(146, 170)(147, 171)(148, 172)(149, 173)(150,
174)(151, 175)(152, 176)(161, 162)(163, 164)(165, 166)(167, 168)(177, 178)(179,
180)(181, 182)(183, 184)(186, 187)(190, 191)(193, 217)(194, 218)(195, 219)(196,
220)(197, 221)(198, 222)(199, 223)(200, 224)(202, 203)(206, 207)(209, 210)(211,
212)(213, 214)(215, 216)(225, 232)(226, 231)(227, 230)(228, 229)(233, 240)(234,
239)(235, 238)(236, 237)(242, 243)(246, 247)(249, 250)(251, 252)(253, 254)(255,
256)(257, 297)(258, 298)(259, 394)(260, 393)(261, 386)(262, 385)(263, 417)(264,
418)(265, 274)(266, 273)(267, 321)(268, 322)(269, 465)(270, 466)(271, 377)(272,
378)(275, 353)(276, 354)(277, 284)(278, 283)(279, 403)(280, 404)(281, 364)(282,
363)(285, 416)(286, 415)(287, 429)(288, 430)(289, 314)(290, 313)(291, 485)(292,
486)(293, 398)(294, 397)(295, 481)(296, 482)(299, 441)(300, 442)(301, 333)(302,
334)(303, 406)(304, 405)(305, 368)(306, 367)(307, 431)(308, 432)(309, 381)(310,
382)(311, 446)(312, 445)(315, 413)(316, 414)(317, 384)(318, 383)(319, 444)(320,
443)(323, 421)(324, 422)(325, 371)(326, 372)(327, 388)(328, 387)(329, 496)(330,
495)(331, 407)(332, 408)(335, 449)(336, 450)(337, 423)(338, 424)(339, 461)(340,
462)(341, 459)(342, 460)(343, 392)(344, 391)(345, 373)(346, 374)(347, 365)(348,
366)(349, 512)(350, 511)(351, 437)(352, 438)(355, 435)(356, 436)(357, 501)(358,
502)(359, 500)(360, 499)(361, 487)(362, 488)(369, 504)(370, 503)(375, 411)(376,
412)(379, 467)(380, 468)(389, 463)(390, 464)(395, 489)(396, 490)(399, 472)(400,
471)(401, 451)(402, 452)(409, 420)(410, 419)(425, 475)(426, 476)(427, 484)(428,
483)(433, 458)(434, 457)(439, 497)(440, 498)(447, 453)(448, 454)(455, 507)(456,
508)(469, 492)(470, 491)(473, 509)(474, 510)(477, 506)(478, 505)(479, 494)(480,
493)
C4[ 512, 425 ]
512
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-2 398 300 355 336
-3 442 435 293 450
-4 266 343 392 273
-5 276 354 356 436
-6 265 387 476 290
-7 313 426 328 274
-8 322 268 335 449
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-11 269 379 347 449
-12 409 422 350 318
-13 484 346 348 414
-14 499 436 349 448
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-24 442 260 282 471
-25 286 333 359 425
-26 264 332 434 428
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-28 420 324 511 383
-29 374 366 316 427
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-31 419 334 258 505
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-61 374 440 498 346
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-63 506 443 433 303
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-65 276 498 279 491
-66 397 327 338 295
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-201 303 416 285 406
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-222 396 440 508 378
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-225 278 356 258 306
-226 374 462 389 368
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-251 385 409 488 295
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-359 209 34 25 158
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-467 27 83 160 164
-468 155 211 36 32
-469 37 18 162 217
-470 165 34 89 146
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-472 47 212 86 152
-473 209 145 91 86
-474 81 214 17 219
-475 1 134 234 9
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-477 143 188 101 62
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-510 213 82 41 195
-511 253 158 28 39
-512 156 167 125 30
0