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