Graph forms
for C4 [ 314, 2 ] = C_314(1,129)
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On this page are computer-accessible forms for the graph C4[ 314, 2 ] =
C_314(1,129).
(I) Following is a form readable by MAGMA:
g:=Graph<314|{ {2, 3}, {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}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174,
175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163},
{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},
{56, 57}, {54, 55}, {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}, {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}, {1, 2}, {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}, {181, 182},
{177, 178}, {173, 174}, {169, 170}, {165, 166}, {85, 86}, {81, 82}, {77, 78},
{73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {5, 6}, {9, 10},
{13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42},
{45, 46}, {49, 50}, {89, 90}, {93, 94}, {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}, {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}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163,
164}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {11, 12}, {19, 20}, {27, 28}, {35,
36}, {43, 44}, {51, 52}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123,
124}, {131, 132}, {139, 140}, {147, 148}, {155, 156}, {7, 8}, {311, 312}, {295,
296}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200},
{183, 184}, {167, 168}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103,
104}, {119, 120}, {135, 136}, {151, 152}, {15, 16}, {303, 304}, {271, 272},
{239, 240}, {207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144},
{31, 32}, {287, 288}, {223, 224}, {95, 96}, {159, 160}, {63, 64}, {191, 192},
{2, 131}, {86, 215}, {84, 213}, {82, 211}, {80, 209}, {78, 207}, {76, 205}, {74,
203}, {72, 201}, {70, 199}, {68, 197}, {66, 195}, {64, 193}, {62, 191}, {60,
189}, {58, 187}, {56, 185}, {54, 183}, {52, 181}, {4, 133}, {6, 135}, {8, 137},
{10, 139}, {12, 141}, {14, 143}, {16, 145}, {18, 147}, {20, 149}, {22, 151},
{24, 153}, {26, 155}, {28, 157}, {30, 159}, {32, 161}, {34, 163}, {36, 165},
{38, 167}, {40, 169}, {42, 171}, {44, 173}, {46, 175}, {48, 177}, {50, 179},
{88, 217}, {90, 219}, {92, 221}, {94, 223}, {96, 225}, {98, 227}, {100, 229},
{102, 231}, {104, 233}, {106, 235}, {108, 237}, {110, 239}, {112, 241}, {114,
243}, {116, 245}, {118, 247}, {120, 249}, {122, 251}, {124, 253}, {126, 255},
{1, 130}, {85, 214}, {81, 210}, {77, 206}, {73, 202}, {69, 198}, {65, 194}, {61,
190}, {57, 186}, {53, 182}, {5, 134}, {9, 138}, {13, 142}, {17, 146}, {21, 150},
{25, 154}, {29, 158}, {33, 162}, {37, 166}, {41, 170}, {45, 174}, {49, 178},
{89, 218}, {93, 222}, {97, 226}, {101, 230}, {105, 234}, {109, 238}, {113, 242},
{117, 246}, {121, 250}, {125, 254}, {3, 132}, {83, 212}, {75, 204}, {67, 196},
{59, 188}, {11, 140}, {19, 148}, {27, 156}, {35, 164}, {43, 172}, {51, 180},
{91, 220}, {99, 228}, {107, 236}, {115, 244}, {123, 252}, {7, 136}, {87, 216},
{71, 200}, {55, 184}, {23, 152}, {39, 168}, {103, 232}, {119, 248}, {15, 144},
{79, 208}, {47, 176}, {111, 240}, {2, 187}, {70, 255}, {68, 253}, {66, 251},
{64, 249}, {4, 189}, {6, 191}, {1, 186}, {69, 254}, {65, 250}, {5, 190}, {3,
188}, {67, 252}, {31, 160}, {95, 224}, {7, 192}, {63, 248}, {55, 240}, {15,
200}, {23, 208}, {31, 216}, {39, 224}, {47, 232}, {8, 193}, {62, 247}, {60,
245}, {58, 243}, {56, 241}, {10, 195}, {12, 197}, {14, 199}, {24, 209}, {26,
211}, {28, 213}, {30, 215}, {40, 225}, {42, 227}, {44, 229}, {46, 231}, {9,
194}, {61, 246}, {57, 242}, {13, 198}, {25, 210}, {29, 214}, {41, 226}, {45,
230}, {11, 196}, {59, 244}, {27, 212}, {43, 228}, {16, 201}, {54, 239}, {52,
237}, {18, 203}, {20, 205}, {22, 207}, {48, 233}, {50, 235}, {17, 202}, {53,
238}, {21, 206}, {49, 234}, {19, 204}, {51, 236}, {32, 217}, {34, 219}, {36,
221}, {38, 223}, {33, 218}, {37, 222}, {35, 220}, {63, 192}, {127, 128}, {1,
314}, {71, 256}, {87, 272}, {79, 264}, {95, 280}, {103, 288}, {111, 296}, {119,
304}, {127, 312}, {72, 257}, {78, 263}, {76, 261}, {74, 259}, {88, 273}, {90,
275}, {92, 277}, {94, 279}, {104, 289}, {106, 291}, {108, 293}, {110, 295},
{120, 305}, {122, 307}, {124, 309}, {126, 311}, {73, 258}, {77, 262}, {89, 274},
{93, 278}, {105, 290}, {109, 294}, {121, 306}, {125, 310}, {75, 260}, {91, 276},
{107, 292}, {123, 308}, {80, 265}, {86, 271}, {84, 269}, {82, 267}, {112, 297},
{114, 299}, {116, 301}, {118, 303}, {81, 266}, {85, 270}, {113, 298}, {117,
302}, {83, 268}, {115, 300}, {96, 281}, {98, 283}, {100, 285}, {102, 287}, {97,
282}, {101, 286}, {99, 284}, {127, 256}, {128, 257}, {184, 313}, {182, 311},
{180, 309}, {178, 307}, {176, 305}, {174, 303}, {172, 301}, {170, 299}, {168,
297}, {166, 295}, {164, 293}, {162, 291}, {130, 259}, {132, 261}, {134, 263},
{136, 265}, {138, 267}, {140, 269}, {142, 271}, {144, 273}, {146, 275}, {148,
277}, {150, 279}, {152, 281}, {154, 283}, {156, 285}, {158, 287}, {160, 289},
{129, 258}, {185, 314}, {181, 310}, {177, 306}, {173, 302}, {169, 298}, {165,
294}, {161, 290}, {133, 262}, {137, 266}, {141, 270}, {145, 274}, {149, 278},
{153, 282}, {157, 286}, {131, 260}, {179, 308}, {171, 300}, {163, 292}, {139,
268}, {147, 276}, {155, 284}, {135, 264}, {183, 312}, {167, 296}, {151, 280},
{143, 272}, {175, 304}, {128, 313}, {129, 314}, {159, 288}, {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) (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.
**************
&Graph **************
b: (2, 186, 314, 130)(3, 57, 313, 259)(4, 242, 312, 74)(5, 113, 311, 203)(6,
298, 310, 18)(7, 169, 309, 147)(8, 40, 308, 276)(9, 225, 307, 91)(10, 96, 306,
220)(11, 281, 305, 35)(12, 152, 304, 164)(13, 23, 303, 293)(14, 208, 302,
108)(15, 79, 301, 237)(16, 264, 300, 52)(17, 135, 299, 181)(19, 191, 297,
125)(20, 62, 296, 254)(21, 247, 295, 69)(22, 118, 294, 198)(24, 174, 292,
142)(25, 45, 291, 271)(26, 230, 290, 86)(27, 101, 289, 215)(28, 286, 288,
30)(29, 157, 287, 159)(31, 213, 285, 103)(32, 84, 284, 232)(33, 269, 283,
47)(34, 140, 282, 176)(36, 196, 280, 120)(37, 67, 279, 249)(38, 252, 278,
64)(39, 123, 277, 193)(41, 179, 275, 137)(42, 50, 274, 266)(43, 235, 273,
81)(44, 106, 272, 210)(46, 162, 270, 154)(48, 218, 268, 98)(49, 89, 267,
227)(51, 145, 265, 171)(53, 201, 263, 115)(54, 72, 262, 244)(55, 257, 261,
59)(56, 128, 260, 188)(58, 184, 258, 132)(60, 240, 256, 76)(61, 111, 255,
205)(63, 167, 253, 149)(65, 223, 251, 93)(66, 94, 250, 222)(68, 150, 248,
166)(70, 206, 246, 110)(71, 77, 245, 239)(73, 133, 243, 183)(75, 189, 241,
127)(78, 116, 238, 200)(80, 172, 236, 144)(82, 228, 234, 88)(83, 99, 233,
217)(85, 155, 231, 161)(87, 211, 229, 105)(90, 138, 226, 178)(92, 194, 224,
122)(95, 121, 221, 195)(97, 177, 219, 139)(100, 104, 216, 212)(102, 160, 214,
156)(107, 143, 209, 173)(109, 199, 207, 117)(112, 126, 204, 190)(114, 182, 202,
134)(119, 165, 197, 151)(124, 148, 192, 168)(129, 131, 187, 185)(136, 170, 180,
146)(141, 153, 175, 163)
C4[ 314, 2 ]
314
-1 2 314 130 186
-2 187 1 3 131
-3 132 188 2 4
-4 133 189 3 5
-5 134 190 4 6
-6 135 191 5 7
-7 136 192 6 8
-8 137 193 7 9
-9 138 194 8 10
-10 11 139 195 9
-11 12 140 196 10
-12 11 13 141 197
-13 198 12 14 142
-14 143 199 13 15
-15 144 200 14 16
-16 145 201 15 17
-17 146 202 16 18
-18 147 203 17 19
-19 148 204 18 20
-20 149 205 19 21
-21 22 150 206 20
-22 23 151 207 21
-23 22 24 152 208
-24 209 23 25 153
-25 154 210 24 26
-26 155 211 25 27
-27 156 212 26 28
-28 157 213 27 29
-29 158 214 28 30
-30 159 215 29 31
-31 160 216 30 32
-32 33 161 217 31
-33 34 162 218 32
-34 33 35 163 219
-35 220 34 36 164
-36 165 221 35 37
-37 166 222 36 38
-38 167 223 37 39
-39 168 224 38 40
-40 169 225 39 41
-41 170 226 40 42
-42 171 227 41 43
-43 44 172 228 42
-44 45 173 229 43
-45 44 46 174 230
-46 231 45 47 175
-47 176 232 46 48
-48 177 233 47 49
-49 178 234 48 50
-50 179 235 49 51
-51 180 236 50 52
-52 181 237 51 53
-53 182 238 52 54
-54 55 183 239 53
-55 56 184 240 54
-56 55 57 185 241
-57 242 56 58 186
-58 187 243 57 59
-59 188 244 58 60
-60 189 245 59 61
-61 190 246 60 62
-62 191 247 61 63
-63 192 248 62 64
-64 193 249 63 65
-65 66 194 250 64
-66 67 195 251 65
-67 66 68 196 252
-68 253 67 69 197
-69 198 254 68 70
-70 199 255 69 71
-71 200 256 70 72
-72 201 257 71 73
-73 202 258 72 74
-74 203 259 73 75
-75 204 260 74 76
-76 77 205 261 75
-77 78 206 262 76
-78 77 79 207 263
-79 264 78 80 208
-80 209 265 79 81
-81 210 266 80 82
-82 211 267 81 83
-83 212 268 82 84
-84 213 269 83 85
-85 214 270 84 86
-86 215 271 85 87
-87 88 216 272 86
-88 89 217 273 87
-89 88 90 218 274
-90 275 89 91 219
-91 220 276 90 92
-92 221 277 91 93
-93 222 278 92 94
-94 223 279 93 95
-95 224 280 94 96
-96 225 281 95 97
-97 226 282 96 98
-98 99 227 283 97
-99 100 228 284 98
-100 99 101 229 285
-101 286 100 102 230
-102 231 287 101 103
-103 232 288 102 104
-104 233 289 103 105
-105 234 290 104 106
-106 235 291 105 107
-107 236 292 106 108
-108 237 293 107 109
-109 110 238 294 108
-110 111 239 295 109
-111 110 112 240 296
-112 297 111 113 241
-113 242 298 112 114
-114 243 299 113 115
-115 244 300 114 116
-116 245 301 115 117
-117 246 302 116 118
-118 247 303 117 119
-119 248 304 118 120
-120 121 249 305 119
-121 122 250 306 120
-122 121 123 251 307
-123 308 122 124 252
-124 253 309 123 125
-125 254 310 124 126
-126 255 311 125 127
-127 256 312 126 128
-128 257 313 127 129
-129 258 314 128 130
-130 1 259 129 131
-131 132 2 260 130
-132 133 3 261 131
-133 132 134 4 262
-134 133 135 5 263
-135 264 134 136 6
-136 265 135 137 7
-137 266 136 138 8
-138 267 137 139 9
-139 268 138 140 10
-140 11 269 139 141
-141 12 270 140 142
-142 143 13 271 141
-143 144 14 272 142
-144 143 145 15 273
-145 144 146 16 274
-146 275 145 147 17
-147 276 146 148 18
-148 277 147 149 19
-149 278 148 150 20
-150 279 149 151 21
-151 22 280 150 152
-152 23 281 151 153
-153 154 24 282 152
-154 155 25 283 153
-155 154 156 26 284
-156 155 157 27 285
-157 286 156 158 28
-158 287 157 159 29
-159 288 158 160 30
-160 289 159 161 31
-161 290 160 162 32
-162 33 291 161 163
-163 34 292 162 164
-164 165 35 293 163
-165 166 36 294 164
-166 165 167 37 295
-167 166 168 38 296
-168 297 167 169 39
-169 298 168 170 40
-170 299 169 171 41
-171 300 170 172 42
-172 301 171 173 43
-173 44 302 172 174
-174 45 303 173 175
-175 176 46 304 174
-176 177 47 305 175
-177 176 178 48 306
-178 177 179 49 307
-179 308 178 180 50
-180 309 179 181 51
-181 310 180 182 52
-182 311 181 183 53
-183 312 182 184 54
-184 55 313 183 185
-185 56 314 184 186
-186 187 1 57 185
-187 188 2 58 186
-188 187 189 3 59
-189 188 190 4 60
-190 189 191 5 61
-191 190 192 6 62
-192 191 193 7 63
-193 192 194 8 64
-194 193 195 9 65
-195 66 194 196 10
-196 11 67 195 197
-197 198 12 68 196
-198 199 13 69 197
-199 198 200 14 70
-200 199 201 15 71
-201 200 202 16 72
-202 201 203 17 73
-203 202 204 18 74
-204 203 205 19 75
-205 204 206 20 76
-206 77 205 207 21
-207 22 78 206 208
-208 209 23 79 207
-209 210 24 80 208
-210 209 211 25 81
-211 210 212 26 82
-212 211 213 27 83
-213 212 214 28 84
-214 213 215 29 85
-215 214 216 30 86
-216 215 217 31 87
-217 88 216 218 32
-218 33 89 217 219
-219 220 34 90 218
-220 221 35 91 219
-221 220 222 36 92
-222 221 223 37 93
-223 222 224 38 94
-224 223 225 39 95
-225 224 226 40 96
-226 225 227 41 97
-227 226 228 42 98
-228 99 227 229 43
-229 44 100 228 230
-230 231 45 101 229
-231 232 46 102 230
-232 231 233 47 103
-233 232 234 48 104
-234 233 235 49 105
-235 234 236 50 106
-236 235 237 51 107
-237 236 238 52 108
-238 237 239 53 109
-239 110 238 240 54
-240 55 111 239 241
-241 242 56 112 240
-242 243 57 113 241
-243 242 244 58 114
-244 243 245 59 115
-245 244 246 60 116
-246 245 247 61 117
-247 246 248 62 118
-248 247 249 63 119
-249 248 250 64 120
-250 121 249 251 65
-251 66 122 250 252
-252 253 67 123 251
-253 254 68 124 252
-254 253 255 69 125
-255 254 256 70 126
-256 255 257 71 127
-257 256 258 72 128
-258 257 259 73 129
-259 258 260 74 130
-260 259 261 75 131
-261 132 260 262 76
-262 77 133 261 263
-263 264 78 134 262
-264 265 79 135 263
-265 264 266 80 136
-266 265 267 81 137
-267 266 268 82 138
-268 267 269 83 139
-269 268 270 84 140
-270 269 271 85 141
-271 270 272 86 142
-272 143 271 273 87
-273 88 144 272 274
-274 275 89 145 273
-275 276 90 146 274
-276 275 277 91 147
-277 276 278 92 148
-278 277 279 93 149
-279 278 280 94 150
-280 279 281 95 151
-281 280 282 96 152
-282 281 283 97 153
-283 154 282 284 98
-284 99 155 283 285
-285 286 100 156 284
-286 287 101 157 285
-287 286 288 102 158
-288 287 289 103 159
-289 288 290 104 160
-290 289 291 105 161
-291 290 292 106 162
-292 291 293 107 163
-293 292 294 108 164
-294 165 293 295 109
-295 110 166 294 296
-296 297 111 167 295
-297 298 112 168 296
-298 297 299 113 169
-299 298 300 114 170
-300 299 301 115 171
-301 300 302 116 172
-302 301 303 117 173
-303 302 304 118 174
-304 303 305 119 175
-305 176 304 306 120
-306 121 177 305 307
-307 308 122 178 306
-308 309 123 179 307
-309 308 310 124 180
-310 309 311 125 181
-311 310 312 126 182
-312 311 313 127 183
-313 312 314 128 184
-314 1 313 129 185
0