C4graphGraph forms for C4 [ 349, 1 ] = C_349(1,136)

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On this page are computer-accessible forms for the graph C4[ 349, 1 ] = C_349(1,136).

(I) Following is a form readable by MAGMA:

g:=Graph<349|{ {2, 3}, {348, 349}, {346, 347}, {344, 345}, {342, 343}, {340, 341}, {338, 339}, {336, 337}, {334, 335}, {332, 333}, {330, 331}, {328, 329}, {326, 327}, {324, 325}, {322, 323}, {320, 321}, {318, 319}, {316, 317}, {314, 315}, {312, 313}, {310, 311}, {308, 309}, {306, 307}, {304, 305}, {302, 303}, {300, 301}, {298, 299}, {296, 297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284, 285}, {282, 283}, {280, 281}, {278, 279}, {276, 277}, {274, 275}, {272, 273}, {270, 271}, {268, 269}, {266, 267}, {264, 265}, {262, 263}, {260, 261}, {258, 259}, {256, 257}, {254, 255}, {252, 253}, {250, 251}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {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}, {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}, {1, 2}, {345, 346}, {341, 342}, {337, 338}, {333, 334}, {329, 330}, {325, 326}, {321, 322}, {317, 318}, {313, 314}, {309, 310}, {305, 306}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281, 282}, {277, 278}, {273, 274}, {269, 270}, {265, 266}, {261, 262}, {257, 258}, {253, 254}, {249, 250}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {149, 150}, {153, 154}, {157, 158}, {161, 162}, {165, 166}, {169, 170}, {173, 174}, {177, 178}, {181, 182}, {185, 186}, {189, 190}, {193, 194}, {197, 198}, {201, 202}, {205, 206}, {209, 210}, {213, 214}, {217, 218}, {221, 222}, {225, 226}, {229, 230}, {233, 234}, {237, 238}, {241, 242}, {245, 246}, {3, 4}, {347, 348}, {339, 340}, {331, 332}, {323, 324}, {315, 316}, {307, 308}, {299, 300}, {291, 292}, {283, 284}, {275, 276}, {267, 268}, {259, 260}, {251, 252}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {123, 124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187, 188}, {195, 196}, {203, 204}, {211, 212}, {219, 220}, {227, 228}, {235, 236}, {243, 244}, {7, 8}, {343, 344}, {327, 328}, {311, 312}, {295, 296}, {279, 280}, {263, 264}, {103, 104}, {87, 88}, {23, 24}, {39, 40}, {55, 56}, {71, 72}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {215, 216}, {231, 232}, {247, 248}, {15, 16}, {335, 336}, {303, 304}, {271, 272}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {207, 208}, {239, 240}, {31, 32}, {287, 288}, {95, 96}, {159, 160}, {223, 224}, {63, 64}, {319, 320}, {191, 192}, {1, 137}, {118, 254}, {117, 253}, {116, 252}, {115, 251}, {114, 250}, {113, 249}, {112, 248}, {103, 239}, {102, 238}, {101, 237}, {100, 236}, {99, 235}, {98, 234}, {97, 233}, {96, 232}, {87, 223}, {86, 222}, {85, 221}, {84, 220}, {83, 219}, {82, 218}, {81, 217}, {80, 216}, {2, 138}, {3, 139}, {4, 140}, {5, 141}, {6, 142}, {7, 143}, {16, 152}, {17, 153}, {18, 154}, {19, 155}, {20, 156}, {21, 157}, {22, 158}, {23, 159}, {32, 168}, {33, 169}, {34, 170}, {35, 171}, {36, 172}, {37, 173}, {38, 174}, {39, 175}, {48, 184}, {49, 185}, {50, 186}, {51, 187}, {52, 188}, {53, 189}, {54, 190}, {55, 191}, {64, 200}, {65, 201}, {66, 202}, {67, 203}, {68, 204}, {69, 205}, {70, 206}, {71, 207}, {119, 255}, {8, 144}, {111, 247}, {110, 246}, {109, 245}, {108, 244}, {107, 243}, {106, 242}, {105, 241}, {104, 240}, {79, 215}, {78, 214}, {77, 213}, {76, 212}, {75, 211}, {74, 210}, {73, 209}, {72, 208}, {9, 145}, {10, 146}, {11, 147}, {12, 148}, {13, 149}, {14, 150}, {15, 151}, {40, 176}, {41, 177}, {42, 178}, {43, 179}, {44, 180}, {45, 181}, {46, 182}, {47, 183}, {24, 160}, {95, 231}, {94, 230}, {93, 229}, {92, 228}, {91, 227}, {90, 226}, {89, 225}, {88, 224}, {25, 161}, {26, 162}, {27, 163}, {28, 164}, {29, 165}, {30, 166}, {31, 167}, {2, 215}, {8, 221}, {10, 223}, {32, 245}, {34, 247}, {40, 253}, {42, 255}, {1, 214}, {9, 222}, {33, 246}, {41, 254}, {3, 216}, {7, 220}, {35, 248}, {39, 252}, {4, 217}, {6, 219}, {36, 249}, {38, 251}, {5, 218}, {37, 250}, {11, 224}, {15, 228}, {27, 240}, {31, 244}, {12, 225}, {14, 227}, {28, 241}, {30, 243}, {13, 226}, {29, 242}, {16, 229}, {18, 231}, {24, 237}, {26, 239}, {17, 230}, {25, 238}, {56, 192}, {57, 193}, {58, 194}, {59, 195}, {60, 196}, {61, 197}, {62, 198}, {63, 199}, {19, 232}, {23, 236}, {20, 233}, {22, 235}, {21, 234}, {127, 128}, {43, 256}, {111, 324}, {107, 320}, {47, 260}, {59, 272}, {63, 276}, {123, 336}, {127, 340}, {44, 257}, {110, 323}, {108, 321}, {46, 259}, {60, 273}, {62, 275}, {124, 337}, {126, 339}, {45, 258}, {109, 322}, {61, 274}, {125, 338}, {48, 261}, {114, 327}, {112, 325}, {50, 263}, {56, 269}, {58, 271}, {120, 333}, {122, 335}, {49, 262}, {113, 326}, {57, 270}, {121, 334}, {51, 264}, {115, 328}, {55, 268}, {119, 332}, {52, 265}, {116, 329}, {54, 267}, {118, 331}, {53, 266}, {117, 330}, {64, 277}, {106, 319}, {104, 317}, {98, 311}, {96, 309}, {74, 287}, {72, 285}, {66, 279}, {65, 278}, {105, 318}, {97, 310}, {73, 286}, {67, 280}, {103, 316}, {99, 312}, {71, 284}, {1, 349}, {68, 281}, {102, 315}, {100, 313}, {70, 283}, {69, 282}, {101, 314}, {75, 288}, {95, 308}, {91, 304}, {79, 292}, {76, 289}, {94, 307}, {92, 305}, {78, 291}, {77, 290}, {93, 306}, {80, 293}, {90, 303}, {88, 301}, {82, 295}, {81, 294}, {89, 302}, {120, 256}, {121, 257}, {122, 258}, {123, 259}, {124, 260}, {125, 261}, {126, 262}, {127, 263}, {83, 296}, {87, 300}, {84, 297}, {86, 299}, {85, 298}, {128, 264}, {129, 265}, {130, 266}, {131, 267}, {132, 268}, {133, 269}, {134, 270}, {135, 271}, {144, 280}, {145, 281}, {146, 282}, {147, 283}, {148, 284}, {149, 285}, {150, 286}, {151, 287}, {160, 296}, {161, 297}, {162, 298}, {163, 299}, {164, 300}, {165, 301}, {166, 302}, {167, 303}, {176, 312}, {177, 313}, {178, 314}, {179, 315}, {180, 316}, {181, 317}, {182, 318}, {183, 319}, {192, 328}, {193, 329}, {194, 330}, {195, 331}, {196, 332}, {197, 333}, {198, 334}, {199, 335}, {208, 344}, {209, 345}, {210, 346}, {211, 347}, {212, 348}, {213, 349}, {136, 272}, {137, 273}, {138, 274}, {139, 275}, {140, 276}, {141, 277}, {142, 278}, {143, 279}, {168, 304}, {169, 305}, {170, 306}, {171, 307}, {172, 308}, {173, 309}, {174, 310}, {175, 311}, {200, 336}, {201, 337}, {202, 338}, {203, 339}, {204, 340}, {205, 341}, {206, 342}, {207, 343}, {152, 288}, {153, 289}, {154, 290}, {155, 291}, {156, 292}, {157, 293}, {158, 294}, {159, 295}, {128, 341}, {130, 343}, {136, 349}, {129, 342}, {131, 344}, {135, 348}, {132, 345}, {134, 347}, {133, 346}, {184, 320}, {185, 321}, {186, 322}, {187, 323}, {188, 324}, {189, 325}, {190, 326}, {191, 327}, {255, 256} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (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)
b: (2, 214, 349, 137)(3, 78, 348, 273)(4, 291, 347, 60)(5, 155, 346, 196)(6, 19, 345, 332)(7, 232, 344, 119)(8, 96, 343, 255)(9, 309, 342, 42)(10, 173, 341, 178)(11, 37, 340, 314)(12, 250, 339, 101)(13, 114, 338, 237)(14, 327, 337, 24)(15, 191, 336, 160)(16, 55, 335, 296)(17, 268, 334, 83)(18, 132, 333, 219)(20, 209, 331, 142)(21, 73, 330, 278)(22, 286, 329, 65)(23, 150, 328, 201)(25, 227, 326, 124)(26, 91, 325, 260)(27, 304, 324, 47)(28, 168, 323, 183)(29, 32, 322, 319)(30, 245, 321, 106)(31, 109, 320, 242)(33, 186, 318, 165)(34, 50, 317, 301)(35, 263, 316, 88)(36, 127, 315, 224)(38, 204, 313, 147)(39, 68, 312, 283)(40, 281, 311, 70)(41, 145, 310, 206)(43, 222, 308, 129)(44, 86, 307, 265)(45, 299, 306, 52)(46, 163, 305, 188)(48, 240, 303, 111)(49, 104, 302, 247)(51, 181, 300, 170)(53, 258, 298, 93)(54, 122, 297, 229)(56, 199, 295, 152)(57, 63, 294, 288)(58, 276, 293, 75)(59, 140, 292, 211)(61, 217, 290, 134)(62, 81, 289, 270)(64, 158, 287, 193)(66, 235, 285, 116)(67, 99, 284, 252)(69, 176, 282, 175)(71, 253, 280, 98)(72, 117, 279, 234)(74, 194, 277, 157)(76, 271, 275, 80)(77, 135, 274, 216)(79, 212, 272, 139)(82, 153, 269, 198)(84, 230, 267, 121)(85, 94, 266, 257)(87, 171, 264, 180)(89, 248, 262, 103)(90, 112, 261, 239)(92, 189, 259, 162)(95, 130, 256, 221)(97, 207, 254, 144)(100, 148, 251, 203)(102, 225, 249, 126)(105, 166, 246, 185)(107, 243, 244, 108)(110, 184, 241, 167)(113, 125, 238, 226)(115, 202, 236, 149)(118, 143, 233, 208)(120, 220, 231, 131)(123, 161, 228, 190)(128, 179, 223, 172)(133, 197, 218, 154)(136, 138, 215, 213)(141, 156, 210, 195)(146, 174, 205, 177)(151, 192, 200, 159)(164, 169, 187, 182)

(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.

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&Graph
C4[ 349, 1 ]
349
-1 2 137 214 349
-2 1 3 138 215
-3 2 4 139 216
-4 3 5 140 217
-5 4 6 141 218
-6 5 7 142 219
-7 143 220 6 8
-8 144 221 7 9
-9 145 222 8 10
-10 11 146 223 9
-11 12 147 224 10
-12 11 13 148 225
-13 12 14 149 226
-14 13 15 150 227
-15 14 16 151 228
-16 15 17 152 229
-17 16 18 153 230
-18 154 231 17 19
-19 155 232 18 20
-20 156 233 19 21
-21 22 157 234 20
-22 23 158 235 21
-23 22 24 159 236
-24 23 25 160 237
-25 24 26 161 238
-26 25 27 162 239
-27 26 28 163 240
-28 27 29 164 241
-29 165 242 28 30
-30 166 243 29 31
-31 167 244 30 32
-32 33 168 245 31
-33 34 169 246 32
-34 33 35 170 247
-35 34 36 171 248
-36 35 37 172 249
-37 36 38 173 250
-38 37 39 174 251
-39 38 40 175 252
-40 176 253 39 41
-41 177 254 40 42
-42 178 255 41 43
-43 44 179 256 42
-44 45 180 257 43
-45 44 46 181 258
-46 45 47 182 259
-47 46 48 183 260
-48 47 49 184 261
-49 48 50 185 262
-50 49 51 186 263
-51 187 264 50 52
-52 188 265 51 53
-53 189 266 52 54
-54 55 190 267 53
-55 56 191 268 54
-56 55 57 192 269
-57 56 58 193 270
-58 57 59 194 271
-59 58 60 195 272
-60 59 61 196 273
-61 60 62 197 274
-62 198 275 61 63
-63 199 276 62 64
-64 200 277 63 65
-65 66 201 278 64
-66 67 202 279 65
-67 66 68 203 280
-68 67 69 204 281
-69 68 70 205 282
-70 69 71 206 283
-71 70 72 207 284
-72 71 73 208 285
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-74 210 287 73 75
-75 211 288 74 76
-76 77 212 289 75
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-79 78 80 215 292
-80 79 81 216 293
-81 80 82 217 294
-82 81 83 218 295
-83 82 84 219 296
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-85 221 298 84 86
-86 222 299 85 87
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-115 114 116 251 328
-116 115 117 252 329
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-145 144 146 281 9
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-324 111 188 323 325
-325 112 189 324 326
-326 113 190 325 327
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-335 122 199 334 336
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-342 341 343 129 206
-343 342 344 130 207
-344 343 345 131 208
-345 132 209 344 346
-346 133 210 345 347
-347 134 211 346 348
-348 135 212 347 349
-349 1 136 213 348
0

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