Graph forms
for C4 [ 512, 572 ] = SS[512,107]
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On this page are computer-accessible forms for the graph C4[ 512, 572 ] =
SS[512,107].
(I) Following is a form readable by MAGMA:
g:=Graph<512|{ {1, 3}, {16, 18}, {12, 14}, {1, 2}, {17, 18}, {1, 5}, {11, 15},
{1, 4}, {498, 503}, {377, 383}, {119, 127}, {246, 255}, {497, 504}, {499, 505},
{464, 475}, {464, 476}, {496, 508}, {112, 127}, {500, 507}, {367, 383}, {486,
502}, {485, 501}, {455, 471}, {448, 465}, {459, 474}, {456, 473}, {457, 475},
{491, 505}, {490, 504}, {453, 470}, {488, 507}, {454, 469}, {35, 55}, {460,
472}, {489, 508}, {495, 506}, {9, 31}, {463, 473}, {458, 476}, {461, 474}, {463,
472}, {32, 56}, {494, 502}, {493, 501}, {462, 471}, {10, 16}, {33, 58}, {492,
503}, {484, 511}, {462, 469}, {461, 470}, {452, 479}, {34, 57}, {13, 17}, {483,
511}, {37, 57}, {14, 18}, {15, 18}, {487, 506}, {451, 478}, {354, 383}, {36,
58}, {480, 510}, {38, 56}, {450, 477}, {453, 485}, {477, 509}, {475, 507}, {470,
502}, {469, 501}, {479, 510}, {7, 37}, {474, 504}, {459, 489}, {449, 483}, {449,
482}, {478, 509}, {451, 480}, {7, 35}, {472, 508}, {20, 48}, {452, 481}, {476,
505}, {457, 492}, {450, 484}, {460, 491}, {9, 33}, {31, 55}, {29, 53}, {27, 51},
{26, 50}, {9, 32}, {24, 49}, {214, 255}, {28, 54}, {30, 52}, {9, 34}, {468,
511}, {8, 36}, {455, 490}, {471, 506}, {458, 487}, {8, 38}, {473, 503}, {456,
486}, {454, 488}, {465, 510}, {466, 509}, {448, 499}, {25, 47}, {19, 43}, {21,
44}, {70, 127}, {23, 46}, {22, 45}, {39, 103}, {422, 486}, {43, 107}, {42, 106},
{41, 105}, {40, 104}, {42, 107}, {44, 110}, {47, 109}, {40, 108}, {419, 487},
{41, 109}, {400, 469}, {46, 104}, {423, 481}, {401, 471}, {416, 488}, {418,
490}, {39, 110}, {52, 125}, {47, 102}, {43, 98}, {45, 103}, {424, 482}, {54,
124}, {46, 101}, {447, 500}, {427, 480}, {402, 473}, {404, 472}, {45, 96}, {444,
497}, {431, 482}, {430, 483}, {425, 484}, {420, 489}, {417, 492}, {406, 475},
{51, 126}, {53, 123}, {446, 496}, {421, 491}, {403, 476}, {445, 498}, {405,
474}, {55, 103}, {58, 106}, {48, 97}, {56, 105}, {49, 99}, {434, 480}, {57,
107}, {57, 109}, {443, 495}, {442, 494}, {441, 493}, {437, 481}, {432, 484},
{50, 100}, {58, 108}, {56, 110}, {436, 483}, {48, 105}, {399, 470}, {61, 100},
{59, 98}, {49, 106}, {62, 101}, {61, 102}, {60, 96}, {50, 108}, {55, 104}, {62,
97}, {60, 99}, {392, 488}, {54, 87}, {391, 485}, {395, 489}, {393, 491}, {59,
95}, {439, 467}, {439, 466}, {394, 492}, {396, 490}, {60, 84}, {444, 468}, {442,
466}, {441, 465}, {51, 90}, {445, 468}, {443, 466}, {440, 465}, {413, 500},
{398, 487}, {53, 92}, {52, 94}, {411, 497}, {410, 496}, {61, 86}, {438, 477},
{397, 486}, {435, 479}, {447, 467}, {440, 468}, {53, 88}, {446, 467}, {414,
499}, {62, 83}, {60, 81}, {51, 93}, {412, 498}, {385, 495}, {384, 494}, {62,
80}, {59, 85}, {52, 91}, {433, 478}, {61, 82}, {54, 89}, {7, 119}, {429, 477},
{8, 120}, {389, 500}, {8, 122}, {387, 497}, {386, 496}, {11, 121}, {44, 95},
{428, 479}, {59, 79}, {426, 478}, {13, 120}, {390, 499}, {12, 122}, {409, 495},
{408, 494}, {388, 498}, {6, 126}, {6, 124}, {415, 485}, {407, 493}, {6, 125},
{6, 123}, {10, 119}, {7, 121}, {304, 432}, {307, 435}, {279, 406}, {308, 438},
{305, 434}, {299, 431}, {309, 433}, {89, 223}, {306, 436}, {95, 217}, {71, 207},
{285, 405}, {79, 199}, {277, 415}, {290, 424}, {281, 403}, {280, 402}, {289,
426}, {294, 429}, {293, 425}, {284, 401}, {282, 404}, {288, 430}, {286, 400},
{64, 207}, {292, 427}, {291, 428}, {69, 213}, {65, 211}, {383, 493}, {267, 408},
{270, 413}, {67, 215}, {283, 399}, {264, 412}, {70, 210}, {67, 214}, {295, 434},
{68, 209}, {66, 212}, {269, 411}, {268, 410}, {265, 414}, {66, 218}, {73, 208},
{310, 431}, {300, 437}, {85, 204}, {75, 209}, {303, 437}, {69, 222}, {296, 435},
{81, 202}, {80, 203}, {78, 213}, {68, 216}, {301, 433}, {298, 438}, {82, 206},
{74, 214}, {72, 212}, {64, 221}, {297, 436}, {266, 407}, {84, 201}, {70, 219},
{65, 220}, {83, 205}, {302, 432}, {263, 409}, {86, 200}, {76, 211}, {77, 210},
{64, 224}, {76, 236}, {27, 186}, {29, 188}, {28, 189}, {29, 190}, {78, 237},
{75, 232}, {74, 233}, {72, 235}, {70, 229}, {65, 226}, {66, 230}, {69, 225},
{28, 185}, {30, 187}, {30, 184}, {319, 409}, {257, 423}, {67, 228}, {77, 234},
{68, 227}, {79, 231}, {71, 238}, {27, 183}, {256, 428}, {259, 430}, {73, 231},
{271, 417}, {262, 424}, {261, 427}, {260, 426}, {258, 429}, {15, 191}, {272,
416}, {24, 168}, {19, 163}, {20, 165}, {316, 397}, {312, 393}, {274, 419}, {87,
230}, {276, 422}, {313, 395}, {21, 166}, {24, 171}, {273, 421}, {318, 394},
{278, 418}, {315, 398}, {26, 172}, {314, 396}, {25, 174}, {275, 420}, {96, 215},
{19, 171}, {287, 423}, {93, 229}, {92, 228}, {84, 236}, {83, 235}, {82, 234},
{81, 233}, {80, 232}, {21, 173}, {91, 226}, {20, 174}, {317, 391}, {100, 222},
{90, 224}, {22, 173}, {97, 218}, {88, 227}, {86, 237}, {85, 238}, {23, 172},
{22, 170}, {25, 164}, {102, 219}, {101, 216}, {26, 167}, {23, 169}, {63, 129},
{94, 225}, {311, 392}, {99, 220}, {98, 221}, {118, 182}, {67, 130}, {117, 180},
{116, 181}, {89, 155}, {261, 455}, {260, 454}, {113, 179}, {90, 152}, {93, 158},
{348, 415}, {112, 179}, {94, 157}, {65, 133}, {88, 156}, {83, 151}, {69, 128},
{115, 182}, {92, 153}, {64, 134}, {73, 143}, {66, 132}, {68, 131}, {114, 181},
{80, 152}, {85, 156}, {258, 459}, {256, 457}, {341, 415}, {36, 239}, {257, 458},
{82, 153}, {91, 151}, {15, 194}, {351, 402}, {87, 154}, {86, 155}, {14, 192},
{262, 456}, {84, 154}, {14, 193}, {259, 460}, {81, 158}, {35, 242}, {326, 407},
{37, 244}, {31, 205}, {79, 157}, {35, 241}, {16, 195}, {38, 245}, {37, 246},
{17, 197}, {17, 196}, {95, 138}, {71, 146}, {16, 198}, {38, 240}, {31, 201},
{36, 243}, {76, 148}, {323, 411}, {78, 150}, {74, 147}, {75, 144}, {111, 180},
{77, 145}, {322, 414}, {321, 413}, {320, 412}, {72, 149}, {351, 386}, {325,
408}, {324, 410}, {63, 223}, {381, 413}, {361, 393}, {357, 389}, {303, 462},
{379, 410}, {362, 395}, {306, 464}, {378, 408}, {364, 398}, {353, 387}, {100,
135}, {364, 399}, {108, 143}, {356, 384}, {376, 412}, {360, 396}, {34, 199},
{309, 464}, {63, 217}, {363, 397}, {352, 390}, {113, 151}, {328, 431}, {380,
411}, {377, 414}, {367, 392}, {365, 394}, {358, 385}, {355, 388}, {112, 153},
{382, 407}, {366, 391}, {34, 200}, {32, 203}, {118, 157}, {96, 139}, {33, 202},
{32, 204}, {335, 419}, {111, 131}, {98, 142}, {97, 141}, {101, 136}, {115, 158},
{114, 156}, {375, 409}, {353, 399}, {117, 155}, {116, 154}, {33, 206}, {359,
392}, {102, 137}, {99, 140}, {63, 208}, {343, 423}, {373, 389}, {349, 429},
{347, 427}, {346, 426}, {115, 130}, {356, 405}, {345, 424}, {343, 422}, {340,
421}, {123, 138}, {116, 133}, {126, 140}, {374, 388}, {372, 390}, {369, 387},
{368, 386}, {348, 430}, {336, 418}, {125, 142}, {371, 384}, {370, 385}, {359,
404}, {354, 401}, {339, 416}, {126, 141}, {114, 134}, {371, 391}, {344, 428},
{338, 422}, {113, 132}, {337, 420}, {327, 434}, {125, 136}, {124, 137}, {119,
130}, {117, 128}, {103, 145}, {358, 400}, {357, 403}, {352, 406}, {111, 152},
{375, 384}, {355, 404}, {350, 425}, {342, 417}, {124, 139}, {118, 129}, {110,
150}, {382, 390}, {380, 388}, {365, 405}, {329, 433}, {120, 128}, {120, 129},
{368, 393}, {361, 400}, {332, 437}, {104, 146}, {372, 398}, {369, 395}, {363,
401}, {360, 402}, {347, 417}, {345, 419}, {344, 418}, {334, 436}, {330, 432},
{121, 131}, {107, 144}, {378, 385}, {376, 387}, {374, 397}, {350, 421}, {310,
461}, {308, 463}, {123, 135}, {362, 406}, {307, 463}, {305, 461}, {105, 148},
{366, 403}, {349, 416}, {331, 438}, {109, 147}, {379, 389}, {370, 396}, {346,
420}, {333, 435}, {304, 462}, {122, 132}, {106, 149}, {381, 386}, {373, 394},
{122, 133}, {121, 134}, {255, 453}, {127, 321}, {40, 360}, {42, 362}, {41, 361},
{40, 363}, {42, 365}, {39, 366}, {39, 364}, {47, 356}, {46, 357}, {43, 358},
{41, 359}, {44, 355}, {48, 353}, {50, 352}, {49, 354}, {255, 425}, {10, 362},
{13, 365}, {10, 363}, {12, 366}, {12, 360}, {13, 361}, {11, 364}, {11, 359},
{45, 351}, {172, 300}, {174, 302}, {183, 311}, {188, 316}, {189, 317}, {185,
312}, {187, 314}, {215, 341}, {186, 313}, {192, 323}, {198, 325}, {172, 296},
{173, 297}, {174, 298}, {196, 320}, {190, 315}, {171, 301}, {173, 299}, {184,
318}, {193, 326}, {195, 324}, {197, 322}, {216, 336}, {166, 303}, {191, 310},
{218, 339}, {75, 448}, {221, 342}, {171, 295}, {222, 338}, {175, 290}, {220,
337}, {175, 289}, {219, 340}, {163, 307}, {165, 309}, {167, 310}, {170, 315},
{198, 343}, {178, 288}, {164, 311}, {176, 291}, {169, 316}, {176, 293}, {87,
449}, {168, 318}, {164, 306}, {178, 292}, {217, 335}, {177, 294}, {90, 450},
{169, 305}, {92, 452}, {192, 344}, {88, 449}, {195, 346}, {163, 313}, {170,
304}, {89, 450}, {166, 317}, {194, 345}, {197, 350}, {168, 308}, {94, 451},
{167, 314}, {165, 312}, {193, 348}, {93, 451}, {91, 452}, {196, 347}, {183,
279}, {184, 280}, {185, 281}, {186, 282}, {182, 279}, {190, 284}, {24, 443},
{27, 440}, {189, 286}, {25, 444}, {29, 440}, {26, 447}, {187, 285}, {188, 283},
{30, 439}, {19, 441}, {111, 453}, {180, 286}, {21, 446}, {28, 439}, {22, 445},
{179, 280}, {182, 285}, {181, 281}, {20, 442}, {177, 287}, {180, 282}, {181,
283}, {179, 284}, {118, 454}, {247, 327}, {248, 328}, {249, 329}, {250, 330},
{253, 332}, {254, 333}, {115, 455}, {251, 334}, {247, 321}, {252, 331}, {112,
457}, {248, 322}, {249, 323}, {252, 326}, {113, 458}, {116, 456}, {130, 319},
{253, 320}, {114, 460}, {117, 459}, {250, 324}, {251, 325}, {146, 338}, {162,
354}, {160, 352}, {148, 340}, {147, 339}, {175, 367}, {177, 369}, {178, 370},
{183, 375}, {186, 378}, {200, 264}, {144, 337}, {162, 355}, {160, 353}, {184,
377}, {185, 376}, {189, 380}, {202, 267}, {206, 271}, {224, 289}, {254, 319},
{134, 324}, {178, 368}, {204, 270}, {206, 268}, {225, 291}, {239, 301}, {128,
323}, {150, 341}, {149, 342}, {176, 371}, {190, 381}, {229, 294}, {230, 293},
{201, 269}, {133, 320}, {176, 373}, {177, 372}, {187, 382}, {131, 325}, {137,
335}, {132, 322}, {226, 292}, {228, 290}, {129, 326}, {161, 358}, {188, 379},
{205, 266}, {203, 263}, {199, 265}, {207, 256}, {223, 272}, {151, 327}, {157,
333}, {156, 332}, {154, 330}, {212, 260}, {152, 329}, {159, 334}, {153, 328},
{208, 257}, {210, 259}, {211, 258}, {246, 295}, {135, 341}, {213, 262}, {209,
261}, {155, 334}, {158, 331}, {23, 448}, {199, 272}, {247, 288}, {139, 339},
{159, 327}, {140, 340}, {136, 337}, {175, 374}, {241, 296}, {248, 289}, {250,
291}, {138, 336}, {244, 302}, {141, 342}, {200, 275}, {240, 299}, {242, 297},
{249, 290}, {253, 294}, {254, 293}, {142, 338}, {202, 278}, {201, 276}, {204,
273}, {145, 335}, {203, 277}, {143, 336}, {205, 274}, {243, 300}, {245, 298},
{251, 292}, {144, 368}, {148, 372}, {146, 371}, {191, 349}, {145, 370}, {149,
374}, {252, 287}, {147, 373}, {160, 328}, {208, 312}, {231, 271}, {239, 263},
{160, 329}, {162, 331}, {211, 314}, {212, 317}, {209, 315}, {214, 316}, {229,
271}, {161, 330}, {210, 313}, {213, 318}, {161, 333}, {195, 303}, {162, 332},
{239, 257}, {135, 375}, {138, 378}, {136, 376}, {220, 300}, {247, 263}, {248,
264}, {254, 270}, {77, 444}, {140, 381}, {78, 447}, {216, 297}, {218, 299},
{224, 273}, {234, 283}, {244, 261}, {250, 267}, {252, 269}, {5, 503}, {142,
380}, {139, 377}, {72, 442}, {192, 306}, {193, 307}, {225, 275}, {228, 278},
{236, 286}, {238, 284}, {240, 258}, {241, 259}, {242, 256}, {169, 346}, {198,
309}, {217, 298}, {221, 302}, {222, 301}, {233, 282}, {245, 262}, {249, 266},
{163, 343}, {196, 304}, {197, 305}, {230, 274}, {237, 281}, {253, 265}, {3,
502}, {141, 379}, {168, 350}, {194, 308}, {226, 276}, {227, 277}, {235, 285},
{2, 501}, {170, 349}, {137, 382}, {76, 443}, {74, 445}, {73, 446}, {243, 260},
{251, 268}, {4, 508}, {207, 311}, {232, 272}, {241, 265}, {3, 506}, {150, 367},
{4, 509}, {236, 277}, {244, 269}, {159, 357}, {233, 275}, {242, 264}, {2, 505},
{167, 348}, {159, 356}, {5, 510}, {219, 295}, {227, 287}, {237, 273}, {238,
274}, {240, 268}, {246, 266}, {2, 511}, {164, 345}, {5, 504}, {194, 319}, {235,
278}, {243, 270}, {71, 441}, {166, 344}, {165, 347}, {161, 351}, {143, 369},
{191, 321}, {234, 276}, {245, 267}, {4, 507}, {215, 296}, {223, 288}, {231,
280}, {232, 279}, {3, 512}, {467, 512}, {481, 512}, {482, 512} }>;
(II) A more general form is to represent the graph as the orbit of {1, 3}
under the group generated by the following permutations:
a: (2, 3, 5, 4)(7, 8)(10, 13, 11, 12)(14, 16, 17, 15)(19, 20, 22, 26)(21, 23,
24, 25)(27, 28, 29, 30)(31, 33, 34, 32)(35, 36, 37, 38)(39, 40, 42, 41)(43, 48,
45, 50)(44, 46, 49, 47)(51, 54, 53, 52)(55, 58, 57, 56)(59, 62, 60, 61)(63, 68,
65, 70)(64, 66, 67, 69)(71, 72, 74, 78)(73, 75, 76, 77)(79, 80, 84, 82)(81, 86,
85, 83)(87, 92, 94, 90)(88, 91, 93, 89)(95, 101, 99, 102)(96, 100, 98, 97)(103,
108, 107, 105)(104, 106, 109, 110)(111, 116, 112, 118)(113, 115, 117, 114)(119,
120, 121, 122)(123, 125, 126, 124)(127, 129, 131, 133)(128, 134, 132, 130)(135,
142, 141, 139)(136, 140, 137, 138)(143, 144, 148, 145)(146, 149, 147, 150)(151,
158, 155, 156)(152, 154, 153, 157)(159, 162)(160, 161)(163, 165, 170, 167)(164,
166, 169, 168)(171, 174, 173, 172)(175, 176)(177, 178)(179, 182, 180, 181)(183,
189, 188, 184)(185, 190, 187, 186)(191, 193, 198, 196)(192, 195, 197, 194)(199,
203, 201, 206)(200, 204, 205, 202)(207, 212, 214, 213)(208, 209, 211, 210)(215,
222, 221, 218)(216, 220, 219, 217)(223, 227, 226, 229)(224, 230, 228, 225)(231,
232, 236, 234)(233, 237, 238, 235)(239, 244, 240, 241)(242, 243, 246, 245)(247,
252, 251, 253)(248, 254, 249, 250)(255, 262, 256, 260)(257, 261, 258, 259)(263,
269, 268, 265)(264, 270, 266, 267)(271, 272, 277, 276)(273, 274, 278, 275)(279,
286, 283, 280)(281, 284, 285, 282)(287, 292, 294, 288)(289, 293, 290, 291)(295,
298, 297, 300)(296, 301, 302, 299)(303, 305, 308, 306)(304, 310, 307, 309)(311,
317, 316, 318)(312, 315, 314, 313)(319, 323, 324, 322)(320, 321, 326, 325)(327,
331, 334, 332)(328, 333, 329, 330)(335, 336, 337, 340)(338, 342, 339, 341)(343,
347, 349, 348)(344, 346, 350, 345)(351, 352, 358, 353)(354, 356, 355, 357)(359,
366, 363, 365)(360, 362, 361, 364)(367, 371, 374, 373)(368, 372, 370, 369)(375,
380, 379, 377)(376, 381, 382, 378)(383, 384, 388, 389)(385, 387, 386, 390)(391,
397, 394, 392)(393, 398, 396, 395)(399, 402, 406, 400)(401, 405, 404, 403)(407,
408, 412, 413)(409, 411, 410, 414)(415, 422, 417, 416)(418, 420, 421, 419)(423,
427, 429, 430)(424, 428, 426, 425)(431, 435, 433, 432)(434, 438, 436, 437)(439,
440)(441, 442, 445, 447)(443, 444, 446, 448)(449, 452, 451, 450)(453, 456, 457,
454)(455, 459, 460, 458)(461, 463, 464, 462)(465, 466, 468, 467)(469, 470, 473,
475)(471, 474, 472, 476)(477, 483, 481, 480)(478, 484, 482, 479)(485, 486, 492,
488)(487, 490, 489, 491)(493, 494, 498, 500)(495, 497, 496, 499)(501, 502, 503,
507)(504, 508, 505, 506)(509, 511, 512, 510) (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, 6)(2, 123)(3, 124)(4, 125)(5, 126)(9, 18)(10, 57)(11, 55)(12, 56)(13,
58)(14, 32)(15, 31)(16, 34)(17, 33)(19, 279)(20, 280)(21, 281)(22, 283)(23,
282)(24, 285)(25, 284)(26, 286)(27, 465)(28, 467)(29, 468)(30, 466)(35, 121)(36,
120)(37, 119)(38, 122)(40, 41)(43, 406)(44, 403)(45, 399)(46, 404)(47, 401)(48,
402)(49, 405)(50, 400)(51, 510)(52, 509)(53, 511)(54, 512)(59, 464)(60, 461)(61,
462)(62, 463)(63, 257)(64, 256)(65, 258)(66, 262)(67, 255)(68, 259)(69, 260)(70,
261)(71, 311)(72, 318)(73, 312)(74, 316)(75, 313)(76, 314)(77, 315)(78, 317)(79,
309)(80, 307)(81, 305)(82, 304)(83, 308)(84, 310)(85, 306)(86, 303)(87, 482)(88,
483)(89, 481)(90, 479)(91, 477)(92, 484)(93, 480)(94, 478)(95, 476)(96, 470)(97,
473)(98, 475)(99, 474)(100, 469)(101, 472)(102, 471)(103, 364)(104, 359)(105,
360)(106, 365)(107, 362)(108, 361)(109, 363)(110, 366)(111, 296)(112, 302)(113,
298)(114, 297)(115, 295)(116, 299)(117, 300)(118, 301)(127, 244)(128, 243)(129,
239)(130, 246)(131, 241)(132, 245)(133, 240)(134, 242)(135, 501)(136, 508)(137,
506)(138, 505)(139, 502)(140, 504)(141, 503)(142, 507)(143, 393)(144, 395)(145,
398)(146, 392)(147, 397)(148, 396)(149, 394)(150, 391)(151, 438)(152, 435)(153,
432)(154, 431)(155, 437)(156, 436)(157, 433)(158, 434)(159, 162)(160, 161)(163,
232)(164, 238)(165, 231)(166, 237)(167, 236)(168, 235)(169, 233)(170, 234)(171,
182)(172, 180)(173, 181)(174, 179)(175, 176)(177, 178)(183, 441)(184, 442)(185,
446)(186, 448)(187, 443)(188, 445)(189, 447)(190, 444)(191, 201)(192, 204)(193,
203)(194, 205)(195, 200)(196, 206)(197, 202)(198, 199)(209, 210)(212, 213)(215,
453)(216, 460)(217, 458)(218, 456)(219, 455)(220, 459)(221, 457)(222, 454)(223,
423)(224, 428)(225, 426)(226, 429)(227, 430)(228, 425)(229, 427)(230, 424)(247,
252)(248, 250)(249, 254)(251, 253)(263, 326)(264, 324)(265, 325)(266, 319)(267,
322)(268, 320)(269, 321)(270, 323)(271, 347)(272, 343)(273, 344)(274, 345)(275,
346)(276, 349)(277, 348)(278, 350)(287, 288)(289, 291)(290, 293)(292, 294)(327,
331)(328, 330)(329, 333)(332, 334)(335, 487)(336, 491)(337, 489)(338, 488)(339,
486)(340, 490)(341, 485)(342, 492)(351, 353)(352, 358)(354, 356)(355, 357)(367,
371)(368, 369)(370, 372)(373, 374)(375, 493)(376, 496)(377, 494)(378, 499)(379,
498)(380, 500)(381, 497)(382, 495)(383, 384)(385, 390)(386, 387)(388, 389)(407,
409)(408, 414)(410, 412)(411, 413)(416, 422)(418, 421)(450, 452)
c: (1, 7, 6, 8)(2, 35, 125, 120)(3, 119, 126, 38)(4, 121, 123, 36)(5, 37, 124,
122)(9, 439, 18, 440)(10, 51, 56, 512)(11, 53, 58, 509)(12, 510, 57, 54)(13,
511, 55, 52)(14, 465, 34, 28)(15, 29, 33, 466)(16, 27, 32, 467)(17, 468, 31,
30)(19, 272, 281, 344)(20, 345, 284, 271)(21, 343, 279, 273)(22, 276, 285,
350)(23, 275, 286, 348)(24, 349, 283, 278)(25, 274, 280, 347)(26, 346, 282,
277)(39, 452, 42, 450)(40, 451, 41, 449)(43, 223, 403, 428)(44, 423, 406,
224)(45, 226, 405, 425)(46, 225, 400, 430)(47, 230, 402, 427)(48, 424, 401,
229)(49, 429, 399, 228)(50, 426, 404, 227)(59, 208, 464, 207)(60, 211, 461,
214)(61, 212, 463, 209)(62, 213, 462, 210)(63, 476, 256, 98)(64, 95, 257,
475)(65, 474, 255, 96)(66, 473, 261, 102)(67, 99, 258, 470)(68, 100, 260,
472)(69, 469, 259, 101)(70, 97, 262, 471)(71, 79, 312, 306)(72, 308, 315,
82)(73, 309, 311, 85)(74, 84, 314, 305)(75, 86, 317, 307)(76, 310, 316, 81)(77,
83, 318, 304)(78, 303, 313, 80)(87, 360, 480, 109)(88, 108, 478, 359)(89, 366,
479, 107)(90, 110, 481, 362)(91, 365, 484, 103)(92, 106, 477, 364)(93, 105, 482,
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166)(164, 238, 231, 165)(167, 169, 233, 236)(168, 170, 234, 235)(171, 416, 181,
418)(172, 420, 180, 415)(173, 422, 182, 421)(174, 419, 179, 417)(183, 204, 446,
198)(184, 196, 444, 205)(185, 192, 441, 199)(186, 203, 447, 195)(187, 197, 445,
201)(188, 202, 443, 191)(189, 193, 448, 200)(190, 206, 442, 194)(215, 220, 459,
453)(216, 222, 454, 460)(217, 458, 457, 221)(218, 456, 455, 219)(247, 389, 250,
385)(248, 388, 252, 390)(249, 383, 253, 387)(251, 384, 254, 386)(263, 500, 324,
378)(264, 380, 326, 499)(265, 376, 323, 493)(266, 377, 320, 497)(267, 495, 321,
379)(268, 494, 319, 381)(269, 382, 322, 498)(270, 496, 325, 375)(287, 352, 289,
355)(288, 357, 291, 358)(290, 354, 294, 353)(292, 356, 293, 351)(327, 373, 330,
370)(328, 374, 331, 372)(329, 367, 332, 369)(333, 368, 334, 371)(407, 414, 412,
411)(408, 409, 413, 410)
d: (2, 4)(3, 5)(7, 8)(10, 12)(11, 13)(14, 16)(15, 17)(19, 21)(20, 25)(22,
24)(23, 26)(27, 28)(29, 30)(31, 33)(32, 34)(35, 36)(37, 38)(39, 42)(43, 44)(45,
49)(46, 50)(47, 48)(51, 54)(52, 53)(55, 58)(56, 57)(61, 62)(63, 64)(65, 67)(66,
70)(68, 69)(71, 73)(72, 77)(74, 76)(75, 78)(79, 85)(80, 86)(81, 84)(82, 83)(87,
93)(88, 94)(89, 90)(91, 92)(95, 98)(96, 99)(97, 102)(100, 101)(103, 106)(104,
108)(105, 109)(107, 110)(111, 117)(112, 113)(114, 118)(115, 116)(119, 122)(120,
121)(123, 125)(124, 126)(127, 132)(128, 131)(129, 134)(130, 133)(135, 136)(137,
141)(138, 142)(139, 140)(143, 146)(144, 150)(145, 149)(147, 148)(151, 153)(152,
155)(154, 158)(156, 157)(159, 160)(161, 162)(163, 166)(164, 165)(167, 169)(168,
170)(171, 173)(175, 178)(176, 177)(181, 182)(183, 185)(184, 190)(186, 189)(187,
188)(191, 197)(192, 198)(193, 195)(194, 196)(199, 204)(200, 203)(201, 202)(205,
206)(207, 208)(209, 213)(210, 212)(211, 214)(215, 220)(216, 222)(217, 221)(218,
219)(223, 224)(225, 227)(226, 228)(229, 230)(231, 238)(232, 237)(233, 236)(234,
235)(239, 242)(240, 246)(241, 243)(244, 245)(247, 248)(249, 251)(250, 252)(253,
254)(255, 258)(256, 257)(259, 260)(261, 262)(263, 264)(265, 270)(266, 268)(267,
269)(271, 274)(272, 273)(275, 277)(276, 278)(279, 281)(280, 284)(282, 286)(283,
285)(287, 291)(288, 289)(290, 292)(293, 294)(295, 299)(296, 300)(297, 301)(298,
302)(303, 307)(304, 308)(305, 310)(306, 309)(311, 312)(313, 317)(314, 316)(315,
318)(319, 320)(321, 322)(323, 325)(324, 326)(327, 328)(329, 334)(330, 331)(332,
333)(335, 342)(336, 338)(337, 341)(339, 340)(343, 344)(345, 347)(346, 348)(349,
350)(351, 354)(352, 357)(353, 356)(355, 358)(359, 361)(360, 363)(362, 366)(364,
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382)(383, 386)(384, 387)(385, 388)(389, 390)(391, 395)(392, 393)(394, 398)(396,
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430)(431, 434)(432, 438)(433, 436)(435, 437)(439, 440)(441, 446)(442, 444)(443,
445)(447, 448)(449, 451)(453, 459)(454, 460)(455, 456)(457, 458)(462, 463)(465,
467)(466, 468)(469, 472)(470, 474)(471, 473)(475, 476)(477, 484)(478, 483)(479,
481)(480, 482)(485, 489)(486, 490)(487, 492)(488, 491)(493, 496)(494, 497)(495,
498)(499, 500)(501, 508)(502, 504)(503, 506)(505, 507)(509, 511)(510, 512)
e: (1, 9)(2, 31)(3, 32)(4, 33)(5, 34)(6, 18)(7, 440)(8, 439)(10, 51)(11, 53)(12,
54)(13, 52)(14, 124)(15, 123)(16, 126)(17, 125)(19, 295)(20, 300)(21, 299)(22,
297)(23, 302)(24, 301)(25, 296)(26, 298)(27, 119)(28, 122)(29, 121)(30, 120)(35,
468)(36, 466)(37, 465)(38, 467)(39, 449)(40, 450)(41, 452)(42, 451)(43, 434)(44,
431)(45, 436)(46, 432)(47, 435)(48, 437)(49, 433)(50, 438)(55, 511)(56, 512)(57,
510)(58, 509)(59, 461)(60, 464)(61, 463)(62, 462)(63, 314)(64, 316)(65, 312)(66,
317)(67, 311)(68, 315)(69, 318)(70, 313)(71, 255)(72, 260)(73, 258)(74, 256)(75,
261)(76, 257)(77, 259)(78, 262)(79, 474)(80, 471)(81, 475)(82, 472)(83, 469)(84,
476)(85, 470)(86, 473)(87, 366)(88, 364)(89, 360)(90, 363)(91, 361)(92, 359)(93,
362)(94, 365)(95, 310)(96, 306)(97, 303)(98, 305)(99, 309)(100, 308)(101,
304)(102, 307)(103, 483)(104, 484)(105, 481)(106, 478)(107, 480)(108, 477)(109,
479)(110, 482)(111, 284)(112, 282)(113, 286)(114, 283)(115, 279)(116, 281)(117,
280)(118, 285)(127, 186)(128, 184)(129, 187)(130, 183)(131, 190)(132, 189)(133,
185)(134, 188)(135, 194)(136, 196)(137, 193)(138, 191)(139, 192)(140, 198)(141,
195)(142, 197)(143, 429)(144, 427)(145, 430)(146, 425)(147, 428)(148, 423)(149,
426)(150, 424)(151, 400)(152, 401)(153, 404)(154, 403)(155, 402)(156, 399)(157,
405)(158, 406)(159, 161)(160, 162)(163, 219)(164, 215)(165, 220)(166, 218)(167,
217)(168, 222)(169, 221)(170, 216)(172, 174)(179, 180)(199, 504)(200, 503)(201,
505)(202, 507)(203, 506)(204, 502)(205, 501)(206, 508)(207, 214)(208, 211)(223,
396)(224, 397)(225, 394)(226, 393)(227, 398)(228, 392)(229, 395)(230, 391)(231,
459)(232, 455)(233, 457)(234, 460)(235, 454)(236, 458)(237, 456)(238, 453)(239,
443)(240, 446)(241, 444)(242, 445)(243, 442)(244, 448)(245, 447)(246, 441)(247,
385)(248, 388)(249, 383)(250, 389)(251, 386)(252, 390)(253, 387)(254, 384)(263,
495)(264, 498)(265, 497)(266, 493)(267, 500)(268, 496)(269, 499)(270, 494)(271,
489)(272, 490)(273, 486)(274, 485)(275, 492)(276, 491)(277, 487)(278, 488)(287,
372)(288, 370)(289, 374)(290, 367)(291, 373)(292, 368)(293, 371)(294, 369)(319,
375)(320, 376)(321, 378)(322, 380)(323, 377)(324, 379)(325, 381)(326, 382)(327,
358)(328, 355)(329, 354)(330, 357)(331, 352)(332, 353)(333, 356)(334, 351)(335,
348)(336, 349)(337, 347)(338, 350)(339, 344)(340, 343)(341, 345)(342, 346)(408,
413)(411, 414)(415, 419)(416, 418)(417, 420)(421, 422)
f: (1, 43, 213, 223)(2, 19, 69, 89)(3, 107, 262, 272)(4, 358, 318, 63)(5, 98,
78, 288)(6, 403, 210, 428)(7, 228, 62, 399)(8, 429, 462, 49)(9, 431, 209,
397)(10, 202, 218, 398)(11, 130, 235, 48)(12, 229, 166, 140)(13, 438, 454,
443)(14, 93, 317, 340)(15, 115, 72, 105)(16, 81, 66, 372)(17, 331, 260, 76)(18,
158, 212, 148)(20, 359, 319, 285)(21, 381, 360, 271)(22, 284, 108, 268)(23, 276,
264, 88)(24, 120, 477, 469)(25, 311, 375, 356)(26, 292, 498, 85)(27, 371, 102,
306)(28, 491, 307, 94)(29, 104, 82, 297)(30, 312, 472, 333)(31, 328, 68,
316)(32, 310, 261, 374)(33, 299, 315, 363)(34, 482, 75, 486)(35, 92, 101,
283)(36, 258, 304, 354)(37, 290, 80, 470)(38, 349, 471, 106)(39, 127, 418,
141)(40, 206, 173, 190)(41, 194, 182, 442)(42, 245, 416, 506)(44, 413, 396,
417)(45, 179, 143, 410)(46, 234, 242, 53)(47, 164, 183, 384)(50, 251, 445,
238)(51, 391, 219, 192)(52, 185, 460, 435)(54, 505, 163, 225)(55, 153, 216,
188)(56, 191, 455, 149)(57, 424, 232, 502)(58, 240, 170, 401)(59, 447, 178,
503)(60, 132, 177, 195)(61, 436, 440, 146)(64, 341, 327, 497)(65, 320, 332,
300)(67, 83, 353, 121)(70, 344, 126, 366)(71, 100, 334, 468)(73, 496, 351,
280)(74, 274, 352, 325)(77, 256, 123, 357)(79, 467, 368, 473)(84, 322, 287,
346)(86, 483, 465, 338)(87, 499, 343, 275)(90, 485, 295, 323)(91, 376, 114,
296)(95, 500, 370, 492)(96, 113, 369, 324)(97, 364, 119, 278)(99, 122, 294,
303)(103, 112, 336, 379)(109, 345, 279, 494)(110, 321, 490, 342)(111, 255, 266,
329)(116, 265, 481, 337)(117, 484, 493, 301)(118, 466, 361, 308)(124, 476, 313,
291)(125, 281, 259, 479)(128, 450, 501, 171)(129, 509, 400, 168)(131, 214, 205,
160)(133, 253, 437, 220)(134, 215, 151, 387)(135, 159, 444, 207)(136, 181, 241,
452)(137, 464, 186, 176)(138, 389, 145, 457)(139, 458, 395, 250)(142, 237, 430,
510)(144, 456, 199, 512)(147, 419, 406, 408)(150, 247, 504, 221)(152, 453, 246,
249)(154, 414, 423, 420)(155, 511, 441, 222)(156, 172, 226, 412)(157, 439, 393,
463)(161, 184, 208, 508)(162, 243, 211, 196)(165, 404, 254, 187)(167, 427, 388,
204)(169, 201, 248, 227)(174, 392, 409, 405)(175, 203, 461, 244)(180, 425, 407,
433)(189, 421, 193, 451)(197, 252, 426, 236)(198, 233, 230, 390)(200, 449, 448,
422)(217, 507, 385, 394)(224, 415, 434, 411)(231, 446, 386, 402)(239, 459, 432,
383)(257, 489, 330, 377)(263, 474, 302, 367)(267, 339, 487, 362)(269, 289, 277,
305)(270, 314, 347, 355)(273, 348, 480, 380)(282, 293, 382, 309)(286, 350, 326,
478)(298, 488, 495, 365)(335, 475, 378, 373)
g: (1, 10, 451, 13)(2, 363, 93, 120)(3, 119, 94, 361)(4, 16, 480, 365)(5, 362,
478, 17)(6, 56, 449, 55)(7, 52, 41, 512)(8, 511, 40, 51)(9, 54, 39, 53)(11, 452,
57, 439)(12, 440, 58, 450)(14, 465, 106, 477)(15, 479, 107, 466)(18, 510, 42,
509)(19, 24, 308, 307)(20, 310, 256, 337)(21, 68, 83, 339)(22, 336, 80, 66)(23,
342, 258, 306)(25, 26, 64, 65)(27, 36, 484, 360)(28, 364, 92, 34)(29, 33, 89,
366)(30, 359, 481, 37)(31, 124, 110, 88)(32, 87, 103, 123)(35, 125, 105,
482)(38, 483, 104, 126)(43, 443, 194, 435)(44, 227, 205, 139)(45, 138, 203,
230)(46, 141, 240, 436)(47, 447, 134, 226)(48, 431, 242, 136)(49, 438, 193,
441)(50, 224, 133, 444)(59, 236, 419, 215)(60, 217, 415, 238)(61, 237, 181,
234)(62, 218, 173, 216)(63, 485, 284, 81)(67, 79, 286, 487)(69, 491, 486,
70)(71, 99, 298, 348)(72, 349, 344, 75)(73, 111, 113, 74)(76, 345, 296, 98)(77,
100, 273, 116)(78, 114, 276, 102)(82, 86, 281, 283)(84, 335, 341, 85)(90, 122,
468, 108)(91, 109, 467, 121)(95, 277, 274, 96)(97, 299, 297, 101)(112, 275, 312,
470)(115, 118, 469, 471)(117, 476, 316, 271)(127, 225, 393, 502)(128, 505, 397,
229)(129, 501, 401, 158)(130, 157, 400, 506)(131, 151, 147, 446)(132, 445, 143,
152)(135, 204, 154, 145)(137, 150, 156, 201)(140, 245, 430, 146)(142, 148, 424,
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390)(176, 386, 408, 247)(177, 249, 414, 388)(178, 384, 413, 250)(179, 233, 208,
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246)(186, 239, 425, 402)(187, 392, 437, 244)(189, 398, 228, 199)(190, 202, 223,
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508)(210, 222, 421, 456)(213, 460, 422, 219)(255, 280, 282, 257)(259, 338, 340,
262)(260, 304, 490, 279)(261, 285, 488, 303)(263, 293, 351, 378)(264, 376, 353,
328)(265, 380, 372, 290)(266, 377, 355, 287)(267, 288, 371, 381)(268, 334, 357,
379)(269, 382, 367, 332)(270, 330, 370, 375)(272, 317, 315, 278)(289, 320, 497,
352)(291, 368, 494, 321)(292, 356, 500, 324)(294, 323, 499, 374)(295, 318, 472,
343)(300, 302, 314, 311)(301, 350, 473, 313)(305, 492, 489, 309)(319, 333, 358,
495)(322, 498, 369, 329)(325, 327, 373, 496)(326, 493, 354, 331)(346, 347, 474,
475)
C4[ 512, 572 ]
512
-1 2 3 4 5
-2 1 511 501 505
-3 506 1 512 502
-4 1 507 508 509
-5 1 510 503 504
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-7 121 35 37 119
-8 122 36 38 120
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-38 56 245 8 240
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