C4graphGraph forms for C4 [ 328, 2 ] = C_328(1,81)

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On this page are computer-accessible forms for the graph C4[ 328, 2 ] = C_328(1,81).

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

(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, 2 ]
328
-1 2 82 248 328
-2 1 3 83 249
-3 2 4 84 250
-4 3 5 85 251
-5 4 6 86 252
-6 253 5 7 87
-7 88 254 6 8
-8 89 255 7 9
-9 90 256 8 10
-10 11 91 257 9
-11 12 92 258 10
-12 11 13 93 259
-13 12 14 94 260
-14 13 15 95 261
-15 14 16 96 262
-16 15 17 97 263
-17 264 16 18 98
-18 99 265 17 19
-19 100 266 18 20
-20 101 267 19 21
-21 22 102 268 20
-22 23 103 269 21
-23 22 24 104 270
-24 23 25 105 271
-25 24 26 106 272
-26 25 27 107 273
-27 26 28 108 274
-28 275 27 29 109
-29 110 276 28 30
-30 111 277 29 31
-31 112 278 30 32
-32 33 113 279 31
-33 34 114 280 32
-34 33 35 115 281
-35 34 36 116 282
-36 35 37 117 283
-37 36 38 118 284
-38 37 39 119 285
-39 286 38 40 120
-40 121 287 39 41
-41 122 288 40 42
-42 123 289 41 43
-43 44 124 290 42
-44 45 125 291 43
-45 44 46 126 292
-46 45 47 127 293
-47 46 48 128 294
-48 47 49 129 295
-49 48 50 130 296
-50 297 49 51 131
-51 132 298 50 52
-52 133 299 51 53
-53 134 300 52 54
-54 55 135 301 53
-55 56 136 302 54
-56 55 57 137 303
-57 56 58 138 304
-58 57 59 139 305
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-60 59 61 141 307
-61 308 60 62 142
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-80 79 81 161 327
-81 80 82 162 328
-82 1 81 83 163
-83 2 82 84 164
-84 165 3 83 85
-85 166 4 84 86
-86 167 5 85 87
-87 88 168 6 86
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-90 89 91 171 9
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-104 23 103 105 185
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-112 111 113 193 31
-113 112 114 194 32
-114 33 113 115 195
-115 34 114 116 196
-116 35 115 117 197
-117 198 36 116 118
-118 199 37 117 119
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-312 231 311 313 65
-313 66 232 312 314
-314 67 233 313 315
-315 68 234 314 316
-316 69 235 315 317
-317 70 236 316 318
-318 319 71 237 317
-319 320 72 238 318
-320 319 321 73 239
-321 320 322 74 240
-322 321 323 75 241
-323 242 322 324 76
-324 77 243 323 325
-325 78 244 324 326
-326 79 245 325 327
-327 80 246 326 328
-328 1 81 247 327
0

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