C4graphGraph forms for C4 [ 321, 1 ] = C_321(1,106)

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On this page are computer-accessible forms for the graph C4[ 321, 1 ] = C_321(1,106).

(I) Following is a form readable by MAGMA:

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

(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[ 321, 1 ]
321
-1 2 321 216 107
-2 1 3 217 108
-3 2 4 218 109
-4 110 3 5 219
-5 220 111 4 6
-6 221 112 5 7
-7 222 113 6 8
-8 223 114 7 9
-9 224 115 8 10
-10 11 225 116 9
-11 12 226 117 10
-12 11 13 227 118
-13 12 14 228 119
-14 13 15 229 120
-15 121 14 16 230
-16 231 122 15 17
-17 232 123 16 18
-18 233 124 17 19
-19 234 125 18 20
-20 235 126 19 21
-21 22 236 127 20
-22 23 237 128 21
-23 22 24 238 129
-24 23 25 239 130
-25 24 26 240 131
-26 132 25 27 241
-27 242 133 26 28
-28 243 134 27 29
-29 244 135 28 30
-30 245 136 29 31
-31 246 137 30 32
-32 33 247 138 31
-33 34 248 139 32
-34 33 35 249 140
-35 34 36 250 141
-36 35 37 251 142
-37 143 36 38 252
-38 253 144 37 39
-39 254 145 38 40
-40 255 146 39 41
-41 256 147 40 42
-42 257 148 41 43
-43 44 258 149 42
-44 45 259 150 43
-45 44 46 260 151
-46 45 47 261 152
-47 46 48 262 153
-48 154 47 49 263
-49 264 155 48 50
-50 265 156 49 51
-51 266 157 50 52
-52 267 158 51 53
-53 268 159 52 54
-54 55 269 160 53
-55 56 270 161 54
-56 55 57 271 162
-57 56 58 272 163
-58 57 59 273 164
-59 165 58 60 274
-60 275 166 59 61
-61 276 167 60 62
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-65 66 280 171 64
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-68 67 69 283 174
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-75 290 181 74 76
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-80 79 81 295 186
-81 187 80 82 296
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-90 89 91 305 196
-91 90 92 306 197
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-95 310 201 94 96
-96 311 202 95 97
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-100 99 101 315 206
-101 100 102 316 207
-102 101 103 317 208
-103 209 102 104 318
-104 319 210 103 105
-105 320 211 104 106
-106 321 212 105 107
-107 1 213 106 108
-108 2 214 107 109
-109 110 3 215 108
-110 111 4 216 109
-111 110 112 5 217
-112 111 113 6 218
-113 112 114 7 219
-114 220 113 115 8
-115 221 114 116 9
-116 222 115 117 10
-117 11 223 116 118
-118 12 224 117 119
-119 13 225 118 120
-120 121 14 226 119
-121 122 15 227 120
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-222 221 223 116 7
-223 222 224 117 8
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-315 209 100 314 316
-316 210 101 315 317
-317 211 102 316 318
-318 319 212 103 317
-319 320 213 104 318
-320 319 321 214 105
-321 1 320 215 106
0

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