C4graphGraph forms for C4 [ 337, 1 ] = C_337(1,148)

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On this page are computer-accessible forms for the graph C4[ 337, 1 ] = C_337(1,148).

(I) Following is a form readable by MAGMA:

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

(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[ 337, 1 ]
337
-1 2 190 149 337
-2 1 3 191 150
-3 2 4 192 151
-4 3 5 193 152
-5 4 6 194 153
-6 154 5 7 195
-7 155 6 8 196
-8 156 7 9 197
-9 198 157 8 10
-10 11 199 158 9
-11 12 200 159 10
-12 11 13 201 160
-13 12 14 202 161
-14 13 15 203 162
-15 14 16 204 163
-16 15 17 205 164
-17 165 16 18 206
-18 166 17 19 207
-19 167 18 20 208
-20 209 168 19 21
-21 22 210 169 20
-22 23 211 170 21
-23 22 24 212 171
-24 23 25 213 172
-25 24 26 214 173
-26 25 27 215 174
-27 26 28 216 175
-28 176 27 29 217
-29 177 28 30 218
-30 178 29 31 219
-31 220 179 30 32
-32 33 221 180 31
-33 34 222 181 32
-34 33 35 223 182
-35 34 36 224 183
-36 35 37 225 184
-37 36 38 226 185
-38 37 39 227 186
-39 187 38 40 228
-40 188 39 41 229
-41 189 40 42 230
-42 231 190 41 43
-43 44 232 191 42
-44 45 233 192 43
-45 44 46 234 193
-46 45 47 235 194
-47 46 48 236 195
-48 47 49 237 196
-49 48 50 238 197
-50 198 49 51 239
-51 199 50 52 240
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-54 55 243 202 53
-55 56 244 203 54
-56 55 57 245 204
-57 56 58 246 205
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-59 58 60 248 207
-60 59 61 249 208
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-331 330 332 183 142
-332 143 331 333 184
-333 144 332 334 185
-334 145 333 335 186
-335 187 146 334 336
-336 188 147 335 337
-337 1 189 148 336
0

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