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On this page are computer-accessible forms for the graph C4[ 480, 544 ] =
SS[480,26].
(I) Following is a form readable by MAGMA:
g:=Graph<480|{ {432, 433}, {1, 3}, {468, 470}, {432, 434}, {1, 2}, {432, 435},
{1, 5}, {467, 471}, {432, 436}, {1, 4}, {352, 363}, {466, 473}, {465, 474},
{353, 362}, {66, 78}, {464, 476}, {67, 79}, {71, 87}, {421, 437}, {128, 144},
{68, 85}, {456, 473}, {420, 437}, {70, 84}, {430, 444}, {64, 83}, {128, 147},
{77, 94}, {69, 86}, {67, 80}, {66, 81}, {65, 82}, {74, 94}, {463, 475}, {431,
443}, {430, 442}, {418, 438}, {75, 95}, {419, 438}, {129, 151}, {462, 472},
{431, 441}, {430, 440}, {423, 433}, {417, 439}, {72, 95}, {422, 433}, {416,
439}, {353, 374}, {352, 375}, {129, 150}, {130, 154}, {461, 469}, {452, 476},
{451, 475}, {448, 472}, {431, 439}, {430, 438}, {131, 155}, {132, 156}, {133,
157}, {140, 148}, {141, 149}, {68, 93}, {450, 475}, {427, 434}, {357, 380},
{356, 381}, {355, 378}, {354, 379}, {70, 92}, {460, 470}, {431, 437}, {424,
434}, {131, 153}, {130, 152}, {64, 91}, {65, 90}, {132, 159}, {133, 158}, {69,
89}, {459, 471}, {458, 470}, {425, 436}, {455, 474}, {449, 476}, {426, 436},
{457, 471}, {429, 435}, {71, 88}, {454, 473}, {453, 474}, {428, 435}, {140,
172}, {412, 444}, {410, 442}, {329, 361}, {141, 173}, {72, 105}, {414, 447},
{413, 444}, {408, 441}, {411, 441}, {349, 382}, {409, 442}, {347, 383}, {77,
104}, {414, 443}, {339, 374}, {338, 375}, {328, 366}, {408, 446}, {338, 373},
{415, 440}, {351, 376}, {350, 377}, {339, 372}, {73, 97}, {214, 255}, {326,
367}, {215, 254}, {76, 102}, {347, 369}, {346, 368}, {327, 365}, {85, 127}, {84,
127}, {406, 445}, {351, 372}, {350, 373}, {337, 378}, {336, 379}, {327, 364},
{136, 163}, {137, 162}, {138, 161}, {139, 160}, {76, 96}, {407, 443}, {82, 126},
{136, 164}, {137, 165}, {74, 103}, {341, 376}, {340, 377}, {337, 380}, {336,
381}, {83, 126}, {75, 102}, {134, 171}, {135, 170}, {138, 167}, {139, 166}, {73,
103}, {406, 440}, {329, 359}, {328, 358}, {326, 360}, {134, 168}, {135, 169},
{348, 371}, {349, 370}, {26, 42}, {345, 361}, {342, 358}, {335, 383}, {27, 43},
{28, 45}, {342, 359}, {335, 382}, {29, 44}, {26, 40}, {27, 41}, {28, 40}, {29,
41}, {24, 45}, {344, 365}, {25, 44}, {28, 43}, {345, 366}, {344, 367}, {29, 42},
{198, 255}, {331, 370}, {330, 371}, {199, 254}, {28, 38}, {331, 369}, {330,
368}, {29, 39}, {343, 364}, {24, 39}, {343, 360}, {341, 362}, {340, 363}, {25,
38}, {401, 465}, {404, 468}, {403, 467}, {315, 378}, {400, 466}, {308, 375},
{309, 374}, {290, 358}, {395, 463}, {313, 381}, {186, 255}, {394, 463}, {187,
254}, {314, 380}, {405, 467}, {402, 468}, {392, 462}, {46, 105}, {393, 462},
{316, 379}, {307, 372}, {306, 373}, {47, 104}, {386, 458}, {304, 377}, {305,
376}, {291, 361}, {391, 461}, {387, 457}, {385, 459}, {390, 461}, {288, 364},
{384, 460}, {388, 457}, {46, 96}, {47, 97}, {289, 366}, {389, 458}, {302, 382},
{59, 106}, {410, 459}, {49, 99}, {317, 367}, {62, 109}, {435, 480}, {407, 452},
{300, 383}, {292, 368}, {293, 369}, {48, 101}, {409, 460}, {295, 370}, {294,
371}, {55, 98}, {50, 100}, {58, 108}, {60, 107}, {411, 451}, {50, 107}, {441,
480}, {412, 453}, {59, 98}, {48, 106}, {442, 480}, {62, 100}, {55, 108}, {413,
454}, {49, 109}, {398, 466}, {396, 464}, {310, 363}, {415, 450}, {397, 464},
{311, 362}, {399, 465}, {58, 101}, {312, 359}, {60, 99}, {52, 84}, {418, 448},
{421, 455}, {419, 449}, {53, 86}, {444, 479}, {57, 90}, {54, 85}, {51, 87},
{443, 479}, {61, 91}, {440, 478}, {424, 462}, {447, 472}, {57, 81}, {445, 469},
{437, 477}, {423, 463}, {417, 457}, {53, 92}, {439, 478}, {416, 458}, {56, 83},
{446, 469}, {438, 477}, {436, 479}, {422, 461}, {420, 456}, {434, 478}, {433,
477}, {52, 89}, {63, 82}, {61, 80}, {51, 93}, {54, 88}, {63, 78}, {286, 365},
{56, 79}, {287, 360}, {426, 467}, {427, 464}, {429, 465}, {425, 468}, {428,
466}, {266, 394}, {267, 395}, {278, 405}, {279, 404}, {264, 397}, {265, 396},
{271, 393}, {268, 395}, {270, 393}, {269, 394}, {38, 175}, {39, 174}, {262,
396}, {263, 397}, {74, 193}, {75, 192}, {72, 196}, {73, 197}, {74, 199}, {281,
404}, {280, 405}, {259, 398}, {258, 399}, {75, 198}, {76, 195}, {285, 402},
{284, 403}, {77, 194}, {32, 176}, {32, 177}, {257, 400}, {256, 401}, {45, 188},
{44, 189}, {43, 186}, {42, 187}, {36, 182}, {276, 390}, {43, 185}, {42, 184},
{37, 183}, {277, 390}, {33, 181}, {275, 391}, {33, 180}, {283, 398}, {282, 399},
{274, 391}, {38, 177}, {261, 402}, {260, 403}, {39, 176}, {272, 392}, {34, 187},
{273, 392}, {37, 188}, {36, 189}, {35, 186}, {34, 185}, {45, 182}, {44, 183},
{41, 178}, {40, 179}, {35, 184}, {40, 180}, {66, 222}, {41, 181}, {64, 221},
{65, 223}, {67, 220}, {359, 450}, {358, 448}, {22, 191}, {299, 386}, {298, 387},
{23, 190}, {31, 179}, {365, 449}, {364, 448}, {297, 389}, {296, 388}, {31, 178},
{367, 450}, {301, 384}, {303, 385}, {319, 401}, {318, 400}, {366, 449}, {30,
174}, {375, 455}, {66, 242}, {65, 241}, {30, 175}, {319, 398}, {318, 399}, {382,
460}, {64, 243}, {372, 455}, {71, 244}, {70, 245}, {69, 246}, {68, 247}, {67,
240}, {369, 453}, {383, 459}, {370, 454}, {72, 253}, {371, 454}, {368, 453},
{73, 252}, {380, 452}, {381, 452}, {377, 451}, {376, 451}, {69, 248}, {373,
456}, {71, 250}, {374, 456}, {68, 251}, {70, 249}, {8, 200}, {20, 212}, {8,
201}, {20, 213}, {20, 214}, {21, 215}, {324, 391}, {325, 390}, {379, 447}, {378,
447}, {8, 206}, {21, 211}, {12, 202}, {11, 205}, {8, 207}, {21, 210}, {12, 203},
{11, 204}, {18, 218}, {19, 219}, {332, 389}, {333, 388}, {18, 217}, {323, 392},
{322, 393}, {79, 132}, {78, 133}, {19, 216}, {10, 199}, {17, 220}, {16, 221},
{334, 384}, {9, 198}, {334, 385}, {333, 386}, {332, 387}, {325, 394}, {324,
395}, {323, 396}, {322, 397}, {14, 222}, {80, 128}, {62, 238}, {15, 223}, {18,
195}, {123, 170}, {122, 171}, {81, 128}, {57, 232}, {56, 233}, {50, 227}, {19,
194}, {52, 230}, {60, 239}, {321, 402}, {320, 403}, {123, 168}, {122, 169}, {48,
228}, {362, 446}, {361, 445}, {321, 405}, {320, 404}, {117, 161}, {63, 235},
{51, 231}, {49, 229}, {20, 193}, {363, 446}, {360, 445}, {117, 160}, {55, 226},
{53, 224}, {21, 192}, {58, 236}, {112, 166}, {95, 137}, {87, 129}, {59, 237},
{18, 197}, {112, 167}, {94, 137}, {86, 129}, {61, 234}, {54, 225}, {19, 196},
{9, 209}, {124, 165}, {125, 164}, {10, 208}, {346, 384}, {88, 131}, {89, 130},
{348, 385}, {90, 132}, {114, 172}, {91, 133}, {92, 131}, {125, 162}, {124, 163},
{114, 173}, {93, 130}, {50, 210}, {116, 148}, {115, 147}, {113, 145}, {111,
143}, {110, 142}, {109, 141}, {108, 140}, {16, 241}, {116, 149}, {115, 146},
{103, 134}, {102, 135}, {58, 216}, {59, 217}, {17, 242}, {13, 233}, {121, 157},
{120, 156}, {55, 211}, {13, 232}, {62, 219}, {49, 212}, {48, 213}, {12, 234},
{121, 159}, {120, 158}, {60, 218}, {12, 235}, {357, 386}, {356, 387}, {355,
388}, {354, 389}, {113, 150}, {107, 140}, {106, 141}, {17, 246}, {16, 247}, {96,
136}, {99, 139}, {16, 249}, {98, 139}, {97, 136}, {9, 227}, {9, 226}, {23, 252},
{22, 253}, {17, 250}, {11, 231}, {126, 146}, {119, 155}, {118, 154}, {13, 225},
{11, 230}, {13, 224}, {10, 228}, {127, 145}, {100, 138}, {10, 229}, {119, 152},
{118, 153}, {105, 134}, {104, 135}, {101, 138}, {126, 142}, {127, 143}, {61,
204}, {63, 205}, {77, 191}, {76, 190}, {15, 251}, {14, 248}, {57, 207}, {56,
206}, {22, 238}, {111, 151}, {47, 215}, {46, 214}, {23, 239}, {51, 202}, {14,
244}, {23, 237}, {22, 236}, {15, 245}, {15, 243}, {53, 201}, {14, 240}, {110,
144}, {54, 200}, {47, 209}, {46, 208}, {52, 203}, {79, 327}, {78, 327}, {90,
328}, {95, 333}, {94, 332}, {91, 328}, {93, 329}, {92, 329}, {86, 330}, {87,
331}, {82, 335}, {83, 334}, {88, 326}, {80, 335}, {89, 326}, {85, 330}, {84,
331}, {81, 334}, {24, 319}, {25, 318}, {96, 332}, {97, 333}, {98, 337}, {99,
336}, {103, 339}, {100, 337}, {102, 339}, {101, 336}, {6, 318}, {108, 340}, {7,
319}, {109, 340}, {104, 338}, {105, 338}, {107, 341}, {106, 341}, {6, 324}, {7,
325}, {6, 323}, {7, 322}, {6, 321}, {7, 320}, {24, 323}, {27, 320}, {26, 321},
{25, 322}, {26, 325}, {27, 324}, {254, 400}, {255, 401}, {30, 415}, {31, 414},
{33, 418}, {168, 299}, {169, 298}, {170, 297}, {171, 296}, {36, 416}, {37, 417},
{30, 408}, {34, 421}, {35, 420}, {142, 286}, {143, 287}, {164, 308}, {165, 309},
{162, 307}, {163, 306}, {172, 313}, {160, 310}, {161, 311}, {166, 304}, {167,
305}, {173, 314}, {191, 287}, {190, 287}, {174, 268}, {176, 274}, {184, 282},
{185, 283}, {179, 272}, {190, 285}, {191, 284}, {177, 277}, {181, 273}, {175,
266}, {188, 281}, {189, 280}, {148, 316}, {182, 284}, {183, 285}, {188, 278},
{189, 279}, {145, 317}, {149, 315}, {150, 312}, {156, 300}, {157, 301}, {144,
289}, {147, 290}, {158, 303}, {159, 302}, {146, 288}, {180, 262}, {182, 261},
{183, 260}, {151, 291}, {179, 263}, {32, 406}, {33, 407}, {174, 276}, {177,
267}, {32, 411}, {178, 265}, {180, 271}, {184, 259}, {185, 258}, {186, 257},
{187, 256}, {31, 419}, {37, 409}, {152, 292}, {154, 294}, {175, 275}, {178,
270}, {176, 269}, {181, 264}, {36, 410}, {153, 295}, {155, 293}, {34, 413}, {35,
412}, {249, 313}, {150, 343}, {251, 314}, {154, 347}, {207, 270}, {211, 274},
{212, 277}, {248, 314}, {153, 346}, {250, 313}, {158, 349}, {159, 348}, {205,
270}, {243, 311}, {252, 312}, {152, 349}, {253, 312}, {164, 353}, {165, 352},
{242, 311}, {110, 424}, {156, 346}, {157, 347}, {240, 310}, {144, 343}, {155,
348}, {166, 353}, {167, 352}, {210, 277}, {213, 274}, {241, 310}, {111, 423},
{145, 345}, {214, 286}, {222, 278}, {228, 300}, {229, 301}, {236, 292}, {237,
293}, {244, 316}, {170, 355}, {171, 354}, {215, 286}, {223, 278}, {224, 297},
{225, 296}, {238, 295}, {239, 294}, {245, 316}, {219, 273}, {221, 279}, {146,
345}, {147, 344}, {208, 283}, {209, 282}, {218, 273}, {220, 279}, {168, 356},
{247, 315}, {169, 357}, {226, 303}, {246, 315}, {227, 302}, {230, 299}, {231,
298}, {151, 344}, {172, 355}, {173, 354}, {114, 419}, {125, 428}, {124, 429},
{123, 426}, {120, 425}, {117, 423}, {119, 421}, {118, 420}, {121, 426}, {122,
425}, {3, 471}, {3, 470}, {112, 422}, {116, 418}, {217, 271}, {2, 469}, {113,
422}, {216, 271}, {4, 476}, {115, 427}, {142, 342}, {234, 306}, {235, 307}, {2,
475}, {121, 416}, {120, 417}, {143, 342}, {196, 285}, {197, 284}, {202, 275},
{114, 424}, {5, 478}, {119, 428}, {118, 429}, {192, 283}, {193, 282}, {194,
281}, {195, 280}, {200, 275}, {4, 472}, {5, 473}, {204, 272}, {232, 308}, {233,
309}, {2, 479}, {201, 276}, {3, 477}, {206, 272}, {5, 474}, {116, 427}, {203,
276}, {122, 410}, {232, 264}, {124, 413}, {125, 412}, {123, 409}, {192, 290},
{117, 406}, {193, 290}, {200, 299}, {201, 298}, {202, 297}, {203, 296}, {235,
264}, {4, 480}, {252, 281}, {253, 280}, {197, 291}, {199, 289}, {239, 265},
{196, 291}, {198, 289}, {238, 265}, {228, 268}, {227, 266}, {113, 411}, {225,
267}, {237, 263}, {230, 269}, {236, 263}, {220, 304}, {221, 305}, {231, 267},
{234, 262}, {115, 414}, {224, 269}, {226, 268}, {112, 415}, {222, 305}, {223,
304}, {229, 266}, {233, 262}, {208, 288}, {148, 357}, {149, 356}, {209, 288},
{240, 260}, {247, 259}, {241, 261}, {246, 258}, {111, 408}, {242, 261}, {243,
260}, {244, 259}, {245, 258}, {204, 308}, {249, 257}, {205, 309}, {110, 407},
{248, 257}, {250, 256}, {212, 303}, {251, 256}, {213, 302}, {162, 350}, {163,
351}, {206, 307}, {207, 306}, {195, 317}, {210, 300}, {211, 301}, {216, 294},
{217, 295}, {218, 292}, {219, 293}, {160, 351}, {161, 350}, {194, 317} }>;
(II) A more general form is to represent the graph as the orbit of {432, 433}
under the group generated by the following permutations:
a: (8, 11)(9, 20)(10, 21)(12, 13)(14, 16)(15, 17)(18, 19)(22, 23)(30, 32)(36,
37)(46, 75)(47, 74)(48, 55)(49, 50)(51, 54)(52, 53)(56, 61)(57, 63)(58, 59)(60,
62)(64, 67)(65, 66)(68, 71)(69, 70)(72, 76)(73, 77)(78, 90)(79, 91)(80, 83)(81,
82)(84, 86)(85, 87)(88, 93)(89, 92)(94, 97)(95, 96)(98, 101)(99, 100)(102,
105)(103, 104)(106, 108)(107, 109)(111, 113)(112, 117)(120, 121)(122, 123)(126,
128)(127, 129)(130, 131)(132, 133)(134, 135)(136, 137)(138, 139)(140, 141)(142,
144)(143, 150)(145, 151)(146, 147)(148, 149)(152, 155)(153, 154)(156, 157)(158,
159)(160, 167)(161, 166)(162, 164)(163, 165)(168, 169)(170, 171)(172, 173)(174,
176)(175, 177)(182, 188)(183, 189)(190, 253)(191, 252)(192, 208)(193, 209)(194,
197)(195, 196)(198, 214)(199, 215)(200, 231)(201, 230)(202, 225)(203, 224)(204,
206)(205, 207)(210, 229)(211, 228)(212, 227)(213, 226)(216, 217)(218, 219)(220,
243)(221, 240)(222, 241)(223, 242)(232, 235)(233, 234)(236, 237)(238, 239)(244,
247)(245, 246)(248, 249)(250, 251)(260, 279)(261, 278)(266, 277)(267, 275)(268,
274)(269, 276)(280, 285)(281, 284)(286, 289)(287, 312)(288, 290)(291, 317)(292,
293)(294, 295)(296, 297)(298, 299)(300, 301)(302, 303)(304, 311)(305, 310)(306,
309)(307, 308)(313, 314)(315, 316)(326, 329)(327, 328)(330, 331)(332, 333)(334,
335)(336, 337)(338, 339)(340, 341)(342, 343)(344, 345)(346, 347)(348, 349)(350,
353)(351, 352)(354, 355)(356, 357)(358, 364)(359, 360)(361, 367)(362, 377)(363,
376)(365, 366)(368, 369)(370, 371)(372, 375)(373, 374)(378, 379)(380, 381)(382,
385)(383, 384)(386, 387)(388, 389)(390, 394)(391, 395)(402, 405)(403, 404)(406,
415)(408, 411)(409, 410)(416, 417)(422, 423)(425, 426)(445, 450)(446, 451)(457,
458)(459, 460)(461, 463)(467, 468)(469, 475)(470, 471) (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, 24, 430, 27)(2, 323, 442, 43)(3, 319, 440, 41)(4, 45, 444, 324)(5, 39,
438, 320)(6, 480, 28, 479)(7, 478, 29, 477)(8, 355, 15, 351, 13, 357, 16,
353)(9, 345, 18, 346, 21, 342, 23, 348)(10, 344, 22, 347, 20, 343, 19, 349)(11,
356, 17, 350, 12, 354, 14, 352)(25, 431, 26, 432)(30, 31, 467, 465, 32, 33, 468,
466)(34, 463, 464, 36, 35, 461, 462, 37)(38, 443, 321, 435)(40, 436, 318,
441)(42, 433, 322, 439)(44, 437, 325, 434)(46, 326, 62, 335)(47, 127, 59,
132)(48, 327, 77, 331)(49, 128, 72, 130)(50, 126, 76, 131)(51, 336, 66, 137)(52,
141, 67, 338)(53, 140, 64, 339)(54, 337, 65, 136)(55, 328, 73, 330)(56, 135, 70,
341)(57, 333, 68, 139)(58, 133, 74, 129)(60, 334, 75, 329)(61, 134, 69, 340)(63,
332, 71, 138)(78, 94, 87, 101)(79, 104, 84, 106)(80, 105, 89, 109)(81, 95, 93,
99)(82, 96, 88, 100)(83, 102, 92, 107)(85, 98, 90, 97)(86, 108, 91, 103)(110,
285, 119, 266, 115, 280, 118, 277)(111, 263, 121, 282, 113, 271, 120, 254)(112,
270, 457, 256, 117, 264, 458, 259)(114, 260, 455, 269, 116, 279, 456, 276)(122,
257, 446, 272, 123, 258, 451, 262)(124, 267, 452, 261, 125, 275, 447, 278)(142,
190, 155, 227, 146, 195, 153, 210)(143, 237, 159, 209, 145, 217, 156, 215)(144,
196, 152, 229, 147, 253, 154, 212)(148, 221, 374, 201, 172, 243, 372, 224)(149,
220, 373, 203, 173, 240, 375, 230)(150, 216, 158, 199, 151, 236, 157, 193)(160,
232, 386, 247, 166, 207, 388, 251)(161, 235, 389, 244, 167, 205, 387, 250)(162,
202, 379, 222, 165, 231, 381, 242)(163, 225, 380, 241, 164, 200, 378, 223)(168,
246, 377, 234, 171, 248, 363, 204)(169, 249, 362, 206, 170, 245, 376, 233)(174,
419, 403, 474, 176, 418, 404, 473)(175, 414, 405, 429, 177, 407, 402, 428)(178,
471, 401, 406, 181, 470, 398, 415)(179, 426, 399, 411, 180, 425, 400, 408)(182,
412, 391, 472, 188, 413, 395, 476)(183, 421, 394, 427, 189, 420, 390, 424)(184,
422, 393, 417, 187, 423, 397, 416)(185, 475, 396, 410, 186, 469, 392, 409)(191,
369, 213, 364, 194, 370, 228, 365)(192, 359, 239, 385, 198, 361, 218, 384)(197,
368, 211, 358, 252, 371, 226, 366)(208, 367, 238, 383, 214, 360, 219, 382)(255,
445, 273, 460, 283, 450, 265, 459)(268, 449, 284, 453, 274, 448, 281, 454)(286,
287, 293, 302, 288, 317, 295, 300)(289, 291, 292, 301, 290, 312, 294, 303)(296,
314, 310, 308, 299, 315, 304, 306)(297, 316, 305, 309, 298, 313, 311, 307)
c: (2, 4)(3, 5)(8, 13)(9, 18)(10, 19)(14, 17)(20, 22)(21, 23)(24, 27)(25,
26)(30, 33)(31, 32)(34, 37)(35, 36)(38, 40)(39, 41)(42, 44)(43, 45)(46, 77)(47,
76)(48, 62)(49, 58)(50, 59)(51, 61)(52, 63)(53, 57)(54, 56)(55, 60)(64, 68)(65,
70)(66, 69)(67, 71)(72, 74)(73, 75)(78, 89)(79, 88)(80, 87)(81, 86)(82, 84)(83,
85)(90, 92)(91, 93)(94, 105)(95, 103)(96, 104)(97, 102)(98, 107)(99, 108)(100,
106)(101, 109)(110, 111)(112, 116)(113, 115)(114, 117)(118, 121)(119, 120)(122,
125)(123, 124)(126, 127)(128, 129)(130, 133)(131, 132)(134, 137)(135, 136)(138,
141)(139, 140)(142, 143)(144, 151)(145, 146)(147, 150)(148, 166)(149, 167)(152,
158)(153, 159)(154, 157)(155, 156)(160, 172)(161, 173)(162, 171)(163, 170)(164,
169)(165, 168)(174, 181)(175, 180)(176, 178)(177, 179)(182, 186)(183, 187)(184,
189)(185, 188)(190, 215)(191, 214)(192, 252)(193, 253)(194, 208)(195, 209)(196,
199)(197, 198)(200, 233)(201, 232)(202, 234)(203, 235)(204, 231)(205, 230)(206,
225)(207, 224)(210, 237)(211, 239)(212, 236)(213, 238)(216, 229)(217, 227)(218,
226)(219, 228)(220, 244)(221, 247)(222, 246)(223, 245)(240, 250)(241, 249)(242,
248)(243, 251)(254, 285)(255, 284)(256, 260)(257, 261)(258, 278)(259, 279)(262,
275)(263, 277)(264, 276)(265, 274)(266, 271)(267, 272)(268, 273)(269, 270)(280,
282)(281, 283)(286, 287)(288, 317)(289, 291)(290, 312)(292, 303)(293, 300)(294,
301)(295, 302)(296, 307)(297, 306)(298, 308)(299, 309)(304, 316)(305, 315)(310,
313)(311, 314)(318, 321)(319, 320)(322, 325)(323, 324)(326, 327)(328, 329)(330,
334)(331, 335)(332, 338)(333, 339)(336, 340)(337, 341)(343, 344)(346, 348)(350,
354)(351, 355)(352, 356)(353, 357)(358, 359)(360, 365)(361, 366)(362, 380)(363,
381)(364, 367)(368, 385)(369, 383)(370, 382)(371, 384)(372, 388)(373, 389)(374,
386)(375, 387)(376, 378)(377, 379)(390, 397)(391, 396)(392, 395)(393, 394)(398,
404)(399, 405)(400, 402)(401, 403)(406, 419)(407, 408)(409, 413)(410, 412)(411,
414)(415, 418)(416, 420)(417, 421)(422, 427)(423, 424)(425, 428)(426, 429)(433,
434)(435, 436)(437, 439)(438, 440)(441, 443)(442, 444)(445, 449)(446, 452)(447,
451)(448, 450)(453, 459)(454, 460)(455, 457)(456, 458)(461, 464)(462, 463)(465,
467)(466, 468)(469, 476)(470, 473)(471, 474)(472, 475)(477, 478)(479, 480)
d: (1, 78, 101, 26, 93, 103)(2, 63, 336, 321, 130, 74)(3, 133, 48, 325, 51,
134)(4, 66, 58, 42, 329, 339)(5, 327, 138, 40, 68, 73)(6, 89, 94, 479, 82,
99)(7, 87, 105, 477, 91, 106)(8, 357, 36, 348, 9, 30)(10, 461, 11, 354, 467,
349)(12, 356, 468, 347, 20, 463)(13, 355, 37, 346, 21, 32)(14, 22, 34, 345, 353,
462)(15, 18, 466, 343, 352, 31)(16, 23, 465, 344, 350, 33)(17, 19, 35, 342, 351,
464)(24, 86, 104, 430, 83, 98)(25, 88, 95, 431, 90, 107)(27, 84, 96, 432, 80,
109)(28, 85, 97, 478, 79, 100)(29, 92, 102, 480, 81, 108)(38, 54, 333, 439, 132,
50)(39, 53, 135, 442, 334, 55)(41, 70, 76, 435, 128, 340)(43, 127, 136, 434, 67,
62)(44, 131, 75, 441, 57, 140)(45, 330, 47, 440, 56, 337)(46, 433, 61, 141, 320,
331)(49, 324, 52, 332, 436, 335)(59, 319, 129, 338, 438, 64)(60, 318, 326, 137,
443, 65)(69, 77, 444, 126, 139, 323)(71, 72, 437, 328, 341, 322)(110, 310, 265,
258, 317, 125)(111, 306, 116, 279, 293, 255)(112, 272, 314, 284, 454, 288)(113,
308, 114, 260, 295, 283)(115, 304, 273, 257, 287, 124)(117, 262, 315, 281, 453,
286)(118, 290, 451, 264, 313, 285)(119, 289, 446, 270, 316, 280)(120, 300, 277,
267, 296, 457)(121, 302, 266, 275, 299, 458)(122, 459, 303, 268, 276, 298)(123,
460, 301, 274, 269, 297)(142, 160, 396, 246, 194, 412)(143, 163, 427, 220, 219,
186)(144, 363, 178, 245, 195, 428)(145, 164, 424, 240, 238, 185)(146, 166, 392,
248, 191, 413)(147, 377, 181, 249, 190, 429)(148, 189, 155, 198, 408, 207)(149,
404, 369, 214, 423, 234)(150, 375, 419, 243, 217, 398)(151, 373, 418, 221, 237,
401)(152, 199, 469, 205, 379, 405)(153, 192, 411, 232, 172, 183)(154, 193, 475,
235, 381, 402)(156, 210, 177, 225, 388, 417)(157, 213, 394, 202, 168, 470)(158,
228, 390, 231, 171, 471)(159, 227, 175, 200, 386, 416)(161, 180, 247, 252, 474,
365)(162, 407, 241, 239, 399, 367)(165, 414, 223, 218, 400, 360)(167, 179, 251,
197, 473, 364)(169, 410, 385, 226, 174, 201)(170, 409, 384, 211, 176, 224)(173,
403, 370, 208, 422, 204)(182, 371, 209, 415, 206, 380)(184, 359, 372, 476, 242,
216)(187, 361, 374, 472, 222, 236)(188, 368, 215, 406, 233, 378)(196, 420, 358,
376, 397, 250)(203, 387, 425, 383, 212, 395)(229, 391, 230, 389, 426, 382)(244,
253, 421, 366, 362, 393)(254, 445, 309, 447, 278, 292)(256, 291, 456, 448, 305,
263)(259, 312, 455, 449, 311, 271)(261, 294, 282, 450, 307, 452)
e: (1, 142)(2, 342)(3, 126)(4, 110)(5, 286)(6, 251)(7, 249)(8, 299)(9, 119)(10,
118)(11, 298)(12, 296)(13, 297)(14, 45)(15, 321)(16, 320)(17, 44)(18, 139)(19,
138)(20, 454)(21, 453)(22, 340)(23, 341)(24, 248)(25, 250)(26, 245)(27, 247)(28,
244)(29, 246)(30, 326)(31, 116)(32, 129)(33, 447)(34, 282)(35, 283)(36, 67)(37,
66)(38, 71)(39, 69)(40, 316)(41, 315)(42, 258)(43, 259)(46, 456)(47, 455)(48,
294)(49, 295)(50, 293)(51, 267)(52, 276)(53, 269)(54, 275)(55, 292)(56, 458)(57,
123)(59, 60)(61, 122)(63, 457)(64, 468)(65, 467)(68, 324)(70, 325)(72, 350)(73,
351)(74, 124)(75, 125)(76, 353)(77, 352)(78, 417)(79, 416)(80, 410)(81, 409)(82,
471)(83, 470)(84, 390)(85, 391)(86, 176)(87, 177)(88, 175)(89, 174)(90, 426)(91,
425)(92, 394)(93, 395)(94, 165)(95, 162)(96, 374)(97, 372)(98, 218)(99,
217)(100, 219)(101, 216)(102, 164)(103, 163)(104, 375)(105, 373)(106, 239)(107,
237)(108, 236)(109, 238)(111, 445)(112, 317)(114, 464)(115, 438)(117, 291)(120,
133)(121, 132)(127, 461)(128, 442)(130, 268)(131, 266)(134, 306)(135, 308)(136,
339)(140, 263)(141, 265)(143, 469)(144, 480)(145, 422)(146, 477)(147, 430)(148,
179)(149, 178)(150, 411)(151, 406)(152, 226)(153, 229)(154, 228)(155, 227)(156,
157)(160, 197)(161, 196)(166, 195)(167, 194)(168, 207)(169, 204)(170, 232)(171,
234)(172, 397)(173, 396)(180, 379)(181, 378)(182, 240)(183, 242)(184, 185)(186,
398)(187, 399)(188, 222)(189, 220)(190, 362)(191, 363)(192, 412)(193, 413)(198,
428)(199, 429)(201, 230)(202, 225)(205, 387)(206, 386)(208, 420)(209, 421)(210,
369)(211, 368)(212, 370)(213, 371)(214, 473)(215, 474)(221, 404)(223, 405)(233,
389)(235, 388)(241, 403)(243, 402)(252, 376)(253, 377)(254, 465)(255, 466)(256,
318)(257, 319)(260, 261)(262, 354)(264, 355)(270, 356)(271, 336)(272, 357)(273,
337)(274, 330)(277, 331)(280, 304)(281, 305)(284, 310)(285, 311)(287, 446)(288,
437)(289, 435)(290, 444)(300, 347)(301, 346)(302, 348)(303, 349)(307, 333)(309,
332)(312, 451)(313, 322)(314, 323)(327, 439)(328, 436)(329, 463)(334, 460)(335,
459)(343, 441)(344, 440)(345, 433)(358, 479)(359, 475)(360, 408)(361, 423)(364,
431)(365, 478)(366, 432)(367, 415)(380, 392)(381, 393)(382, 385)(400, 401)(407,
472)(414, 418)(419, 427)(424, 476)(434, 449)(443, 448)(452, 462)
f: (1, 6, 432, 7)(2, 323, 436, 319)(3, 318, 433, 322)(4, 321, 435, 325)(5, 324,
434, 320)(8, 355, 15, 352)(9, 345, 19, 348)(10, 344, 23, 349)(11, 356, 17,
353)(12, 354, 14, 351)(13, 357, 16, 350)(18, 347, 20, 343)(21, 342, 22, 346)(24,
479)(25, 477)(26, 480)(27, 478)(28, 430, 29, 431)(30, 31, 37, 34)(32, 33, 36,
35)(38, 438, 44, 437)(39, 443, 45, 444)(40, 442, 42, 441)(41, 439, 43, 440)(46,
326, 60, 133)(47, 127, 58, 334)(48, 128, 73, 331)(49, 327, 76, 130)(50, 328, 72,
131)(51, 141, 67, 339)(52, 336, 66, 136)(53, 337, 65, 137)(54, 140, 64, 338)(55,
126, 77, 330)(56, 135, 68, 340)(57, 333, 70, 138)(59, 335, 74, 129)(61, 134, 71,
341)(62, 132, 75, 329)(63, 332, 69, 139)(78, 96, 89, 99)(79, 102, 93, 109)(80,
103, 87, 106)(81, 97, 84, 101)(82, 94, 86, 98)(83, 104, 85, 108)(88, 107, 91,
105)(90, 95, 92, 100)(110, 284, 453, 274)(111, 263, 460, 254)(112, 270, 457,
258)(113, 271, 459, 282)(114, 260, 455, 275)(115, 281, 454, 268)(116, 279, 456,
267)(117, 264, 458, 257)(118, 277, 448, 280)(119, 266, 449, 285)(120, 283, 450,
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278)(125, 269, 452, 261)(142, 191, 368, 211)(143, 236, 384, 215)(144, 197, 369,
213)(145, 216, 385, 209)(146, 194, 371, 226)(147, 252, 370, 228)(148, 221, 373,
225)(149, 220, 374, 231)(150, 217, 383, 193)(151, 237, 382, 199)(152, 229, 365,
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204)(169, 247, 377, 233)(170, 251, 363, 206)(171, 244, 376, 234)(172, 243, 375,
200)(173, 240, 372, 202)(174, 414, 188, 413)(175, 419, 183, 421)(176, 407, 182,
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309)(299, 313, 311, 308)(390, 472, 405, 429)(391, 424, 403, 474)(392, 426, 401,
469)(393, 471, 399, 422)(394, 476, 402, 428)(395, 427, 404, 473)(396, 425, 398,
475)(397, 470, 400, 423)(461, 462, 467, 465)(463, 464, 468, 466)
g: (2, 3)(6, 7)(8, 22, 11, 23)(9, 17, 20, 15)(10, 16, 21, 14)(12, 18, 13,
19)(24, 25)(30, 36, 32, 37)(34, 35)(38, 45)(39, 44)(46, 70, 75, 69)(47, 71, 74,
68)(48, 64, 55, 67)(49, 65, 50, 66)(51, 73, 54, 77)(52, 76, 53, 72)(56, 58, 61,
59)(57, 62, 63, 60)(78, 99, 90, 100)(79, 101, 91, 98)(80, 106, 83, 108)(81, 109,
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324)(321, 325)(322, 323)(326, 332, 329, 333)(327, 336, 328, 337)(330, 338, 331,
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372)(370, 374, 371, 373)(390, 405, 394, 402)(391, 403, 395, 404)(392, 397)(393,
396)(398, 400)(399, 401)(406, 417, 415, 416)(407, 418)(408, 410, 411, 409)(412,
421)(413, 420)(414, 419)(422, 426, 423, 425)(424, 427)(430, 431)(433, 436)(437,
444)(438, 443)(439, 440)(441, 442)(445, 457, 450, 458)(446, 459, 451, 460)(447,
449)(448, 452)(453, 455)(454, 456)(461, 467, 463, 468)(462, 464)(469, 471, 475,
470)(472, 476)(477, 479)
C4[ 480, 544 ]
480
-1 2 3 4 5
-2 1 475 479 469
-3 1 477 470 471
-4 1 476 480 472
-5 473 1 474 478
-6 321 323 324 318
-7 319 320 322 325
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-480 441 442 4 435
0