C4graphGraph forms for C4 [ 312, 4 ] = C_312(1,77)

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On this page are computer-accessible forms for the graph C4[ 312, 4 ] = C_312(1,77).

(I) Following is a form readable by MAGMA:

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

(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[ 312, 4 ]
312
-1 78 2 312 236
-2 1 79 3 237
-3 2 80 4 238
-4 3 81 5 239
-5 4 82 6 240
-6 5 83 7 241
-7 242 6 84 8
-8 243 7 85 9
-9 244 8 86 10
-10 11 245 9 87
-11 88 12 246 10
-12 11 89 13 247
-13 12 90 14 248
-14 13 91 15 249
-15 14 92 16 250
-16 15 93 17 251
-17 16 94 18 252
-18 253 17 95 19
-19 254 18 96 20
-20 255 19 97 21
-21 22 256 20 98
-22 99 23 257 21
-23 22 100 24 258
-24 23 101 25 259
-25 24 102 26 260
-26 25 103 27 261
-27 26 104 28 262
-28 27 105 29 263
-29 264 28 106 30
-30 265 29 107 31
-31 266 30 108 32
-32 33 267 31 109
-33 110 34 268 32
-34 33 111 35 269
-35 34 112 36 270
-36 35 113 37 271
-37 36 114 38 272
-38 37 115 39 273
-39 38 116 40 274
-40 275 39 117 41
-41 276 40 118 42
-42 277 41 119 43
-43 44 278 42 120
-44 121 45 279 43
-45 44 122 46 280
-46 45 123 47 281
-47 46 124 48 282
-48 47 125 49 283
-49 48 126 50 284
-50 49 127 51 285
-51 286 50 128 52
-52 287 51 129 53
-53 288 52 130 54
-54 55 289 53 131
-55 132 56 290 54
-56 55 133 57 291
-57 56 134 58 292
-58 57 135 59 293
-59 58 136 60 294
-60 59 137 61 295
-61 60 138 62 296
-62 297 61 139 63
-63 298 62 140 64
-64 299 63 141 65
-65 66 300 64 142
-66 143 67 301 65
-67 66 144 68 302
-68 67 145 69 303
-69 68 146 70 304
-70 69 147 71 305
-71 70 148 72 306
-72 71 149 73 307
-73 308 72 150 74
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-75 310 74 152 76
-76 77 311 75 153
-77 154 78 312 76
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-79 78 2 156 80
-80 79 3 157 81
-81 80 4 158 82
-82 81 5 159 83
-83 82 6 160 84
-84 83 7 161 85
-85 84 8 162 86
-86 85 9 163 87
-87 88 86 10 164
-88 11 165 89 87
-89 88 12 166 90
-90 89 13 167 91
-91 90 14 168 92
-92 91 15 169 93
-93 92 16 170 94
-94 93 17 171 95
-95 94 18 172 96
-96 95 19 173 97
-97 96 20 174 98
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-102 101 25 179 103
-103 102 26 180 104
-104 103 27 181 105
-105 104 28 182 106
-106 105 29 183 107
-107 106 30 184 108
-108 107 31 185 109
-109 110 108 32 186
-110 33 187 111 109
-111 110 34 188 112
-112 111 35 189 113
-113 112 36 190 114
-114 113 37 191 115
-115 114 38 192 116
-116 115 39 193 117
-117 116 40 194 118
-118 117 41 195 119
-119 118 42 196 120
-120 121 119 43 197
-121 44 198 122 120
-122 121 45 199 123
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-142 143 141 65 219
-143 66 220 144 142
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-153 154 152 76 230
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-156 155 79 233 157
-157 156 80 234 158
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-160 159 83 237 161
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-162 161 85 239 163
-163 162 86 240 164
-164 165 163 87 241
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-167 166 90 244 168
-168 167 91 245 169
-169 168 92 246 170
-170 169 93 247 171
-171 170 94 248 172
-172 171 95 249 173
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-174 173 97 251 175
-175 176 174 98 252
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-177 176 100 254 178
-178 177 101 255 179
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-185 184 108 262 186
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-217 216 140 294 218
-218 217 141 295 219
-219 220 218 142 296
-220 143 297 221 219
-221 220 144 298 222
-222 221 145 299 223
-223 222 146 300 224
-224 223 147 301 225
-225 224 148 302 226
-226 225 149 303 227
-227 226 150 304 228
-228 227 151 305 229
-229 228 152 306 230
-230 231 229 153 307
-231 154 308 232 230
-232 231 155 309 233
-233 232 156 310 234
-234 233 157 311 235
-235 234 158 312 236
-236 1 235 159 237
-237 2 236 160 238
-238 3 237 161 239
-239 4 238 162 240
-240 5 239 163 241
-241 242 6 240 164
-242 165 243 7 241
-243 242 166 244 8
-244 243 167 245 9
-245 244 168 246 10
-246 11 245 169 247
-247 12 246 170 248
-248 13 247 171 249
-249 14 248 172 250
-250 15 249 173 251
-251 16 250 174 252
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-253 176 254 18 252
-254 253 177 255 19
-255 254 178 256 20
-256 255 179 257 21
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-269 34 268 192 270
-270 35 269 193 271
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-286 209 287 51 285
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-289 288 212 290 54
-290 55 289 213 291
-291 56 290 214 292
-292 57 291 215 293
-293 58 292 216 294
-294 59 293 217 295
-295 60 294 218 296
-296 297 61 295 219
-297 220 298 62 296
-298 297 221 299 63
-299 298 222 300 64
-300 299 223 301 65
-301 66 300 224 302
-302 67 301 225 303
-303 68 302 226 304
-304 69 303 227 305
-305 70 304 228 306
-306 71 305 229 307
-307 308 72 306 230
-308 231 309 73 307
-309 308 232 310 74
-310 309 233 311 75
-311 310 234 312 76
-312 77 1 311 235
0

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