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