C4graphGraph forms for C4 [ 328, 3 ] = C_328(1,83)

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On this page are computer-accessible forms for the graph C4[ 328, 3 ] = C_328(1,83).

(I) Following is a form readable by MAGMA:

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

(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[ 328, 3 ]
328
-1 2 246 84 328
-2 1 3 247 85
-3 2 4 248 86
-4 3 5 249 87
-5 88 4 6 250
-6 89 5 7 251
-7 90 6 8 252
-8 253 91 7 9
-9 254 92 8 10
-10 11 255 93 9
-11 12 256 94 10
-12 11 13 257 95
-13 12 14 258 96
-14 13 15 259 97
-15 14 16 260 98
-16 99 15 17 261
-17 100 16 18 262
-18 101 17 19 263
-19 264 102 18 20
-20 265 103 19 21
-21 22 266 104 20
-22 23 267 105 21
-23 22 24 268 106
-24 23 25 269 107
-25 24 26 270 108
-26 25 27 271 109
-27 110 26 28 272
-28 111 27 29 273
-29 112 28 30 274
-30 275 113 29 31
-31 276 114 30 32
-32 33 277 115 31
-33 34 278 116 32
-34 33 35 279 117
-35 34 36 280 118
-36 35 37 281 119
-37 36 38 282 120
-38 121 37 39 283
-39 122 38 40 284
-40 123 39 41 285
-41 286 124 40 42
-42 287 125 41 43
-43 44 288 126 42
-44 45 289 127 43
-45 44 46 290 128
-46 45 47 291 129
-47 46 48 292 130
-48 47 49 293 131
-49 132 48 50 294
-50 133 49 51 295
-51 134 50 52 296
-52 297 135 51 53
-53 298 136 52 54
-54 55 299 137 53
-55 56 300 138 54
-56 55 57 301 139
-57 56 58 302 140
-58 57 59 303 141
-59 58 60 304 142
-60 143 59 61 305
-61 144 60 62 306
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-85 2 168 84 86
-86 3 169 85 87
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-88 89 5 171 87
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-90 89 91 7 173
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-95 12 178 94 96
-96 13 179 95 97
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-102 101 103 19 185
-103 102 104 20 186
-104 187 103 105 21
-105 22 188 104 106
-106 23 189 105 107
-107 24 190 106 108
-108 25 191 107 109
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-110 111 27 193 109
-111 110 112 28 194
-112 111 113 29 195
-113 112 114 30 196
-114 113 115 31 197
-115 198 114 116 32
-116 33 199 115 117
-117 34 200 116 118
-118 35 201 117 119
-119 36 202 118 120
-120 121 37 203 119
-121 122 38 204 120
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-126 209 125 127 43
-127 44 210 126 128
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-223 222 224 140 306
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-244 243 245 161 327
-245 244 246 162 328
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-247 2 246 248 164
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-251 168 6 250 252
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-253 254 170 8 252
-254 253 255 171 9
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-306 223 61 305 307
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-309 308 310 226 64
-310 309 311 227 65
-311 66 310 312 228
-312 67 311 313 229
-313 68 312 314 230
-314 231 69 313 315
-315 232 70 314 316
-316 233 71 315 317
-317 234 72 316 318
-318 319 235 73 317
-319 320 236 74 318
-320 319 321 237 75
-321 320 322 238 76
-322 77 321 323 239
-323 78 322 324 240
-324 79 323 325 241
-325 242 80 324 326
-326 243 81 325 327
-327 244 82 326 328
-328 1 245 83 327
0

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