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