C4graphGraph forms for C4 [ 338, 2 ] = C_338(1,99)

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On this page are computer-accessible forms for the graph C4[ 338, 2 ] = C_338(1,99).

(I) Following is a form readable by MAGMA:

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

(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[ 338, 2 ]
338
-1 100 2 338 240
-2 1 101 3 241
-3 242 2 102 4
-4 243 3 103 5
-5 244 4 104 6
-6 245 5 105 7
-7 246 6 106 8
-8 247 7 107 9
-9 248 8 108 10
-10 11 249 9 109
-11 110 12 250 10
-12 11 111 13 251
-13 12 112 14 252
-14 253 13 113 15
-15 254 14 114 16
-16 255 15 115 17
-17 256 16 116 18
-18 257 17 117 19
-19 258 18 118 20
-20 259 19 119 21
-21 22 260 20 120
-22 121 23 261 21
-23 22 122 24 262
-24 23 123 25 263
-25 264 24 124 26
-26 265 25 125 27
-27 266 26 126 28
-28 267 27 127 29
-29 268 28 128 30
-30 269 29 129 31
-31 270 30 130 32
-32 33 271 31 131
-33 132 34 272 32
-34 33 133 35 273
-35 34 134 36 274
-36 275 35 135 37
-37 276 36 136 38
-38 277 37 137 39
-39 278 38 138 40
-40 279 39 139 41
-41 280 40 140 42
-42 281 41 141 43
-43 44 282 42 142
-44 143 45 283 43
-45 44 144 46 284
-46 45 145 47 285
-47 286 46 146 48
-48 287 47 147 49
-49 288 48 148 50
-50 289 49 149 51
-51 290 50 150 52
-52 291 51 151 53
-53 292 52 152 54
-54 55 293 53 153
-55 154 56 294 54
-56 55 155 57 295
-57 56 156 58 296
-58 297 57 157 59
-59 298 58 158 60
-60 299 59 159 61
-61 300 60 160 62
-62 301 61 161 63
-63 302 62 162 64
-64 303 63 163 65
-65 66 304 64 164
-66 165 67 305 65
-67 66 166 68 306
-68 67 167 69 307
-69 308 68 168 70
-70 309 69 169 71
-71 310 70 170 72
-72 311 71 171 73
-73 312 72 172 74
-74 313 73 173 75
-75 314 74 174 76
-76 77 315 75 175
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-79 78 178 80 318
-80 319 79 179 81
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-89 88 188 90 328
-90 89 189 91 329
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-92 331 91 191 93
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-94 333 93 193 95
-95 334 94 194 96
-96 335 95 195 97
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-98 99 337 97 197
-99 198 100 338 98
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-102 101 3 201 103
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-104 103 5 203 105
-105 104 6 204 106
-106 105 7 205 107
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-332 331 233 333 93
-333 332 234 334 94
-334 333 235 335 95
-335 334 236 336 96
-336 335 237 337 97
-337 336 238 338 98
-338 99 1 337 239
0

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