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