Graph forms
for C4 [ 269, 1 ] = C_269(1,82)
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 269, 1 ] =
C_269(1,82).
(I) Following is a form readable by MAGMA:
g:=Graph<269|{ {2, 3}, {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}, {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}, {58,
59}, {56, 57}, {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}, {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}, {1, 2}, {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}, {97, 98}, {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}, {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}, {185, 186}, {189, 190}, {3, 4}, {267,
268}, {259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220},
{211, 212}, {203, 204}, {195, 196}, {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}, {187, 188}, {7, 8}, {263, 264}, {247,
248}, {231, 232}, {215, 216}, {199, 200}, {87, 88}, {71, 72}, {55, 56}, {23,
24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151, 152}, {167, 168}, {183,
184}, {15, 16}, {239, 240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143,
144}, {175, 176}, {31, 32}, {223, 224}, {95, 96}, {159, 160}, {1, 83}, {4, 86},
{5, 87}, {8, 90}, {9, 91}, {12, 94}, {13, 95}, {32, 114}, {33, 115}, {36, 118},
{37, 119}, {40, 122}, {41, 123}, {44, 126}, {45, 127}, {128, 210}, {129, 211},
{132, 214}, {133, 215}, {136, 218}, {137, 219}, {140, 222}, {141, 223}, {160,
242}, {161, 243}, {164, 246}, {165, 247}, {168, 250}, {169, 251}, {172, 254},
{173, 255}, {2, 84}, {3, 85}, {10, 92}, {11, 93}, {34, 116}, {35, 117}, {42,
124}, {43, 125}, {130, 212}, {131, 213}, {138, 220}, {139, 221}, {162, 244},
{163, 245}, {170, 252}, {171, 253}, {6, 88}, {7, 89}, {38, 120}, {39, 121},
{134, 216}, {135, 217}, {166, 248}, {167, 249}, {14, 96}, {15, 97}, {30, 112},
{31, 113}, {142, 224}, {143, 225}, {158, 240}, {159, 241}, {16, 98}, {17, 99},
{20, 102}, {21, 103}, {24, 106}, {25, 107}, {28, 110}, {29, 111}, {144, 226},
{145, 227}, {148, 230}, {149, 231}, {152, 234}, {153, 235}, {156, 238}, {157,
239}, {18, 100}, {19, 101}, {26, 108}, {27, 109}, {146, 228}, {147, 229}, {154,
236}, {155, 237}, {22, 104}, {23, 105}, {150, 232}, {151, 233}, {63, 64}, {191,
192}, {46, 128}, {63, 145}, {62, 144}, {47, 129}, {110, 192}, {111, 193}, {126,
208}, {127, 209}, {48, 130}, {61, 143}, {60, 142}, {57, 139}, {56, 138}, {49,
131}, {52, 134}, {53, 135}, {112, 194}, {113, 195}, {116, 198}, {117, 199},
{120, 202}, {121, 203}, {124, 206}, {125, 207}, {50, 132}, {59, 141}, {58, 140},
{51, 133}, {114, 196}, {115, 197}, {122, 204}, {123, 205}, {4, 191}, {68, 255},
{64, 251}, {1, 188}, {67, 254}, {65, 252}, {3, 190}, {54, 136}, {55, 137}, {118,
200}, {119, 201}, {2, 189}, {66, 253}, {5, 192}, {63, 250}, {61, 248}, {55,
242}, {7, 194}, {13, 200}, {15, 202}, {21, 208}, {23, 210}, {29, 216}, {31,
218}, {37, 224}, {39, 226}, {45, 232}, {47, 234}, {53, 240}, {6, 193}, {62,
249}, {54, 241}, {14, 201}, {22, 209}, {30, 217}, {38, 225}, {46, 233}, {8,
195}, {60, 247}, {56, 243}, {12, 199}, {24, 211}, {28, 215}, {40, 227}, {44,
231}, {9, 196}, {59, 246}, {57, 244}, {11, 198}, {25, 212}, {27, 214}, {41,
228}, {43, 230}, {10, 197}, {58, 245}, {26, 213}, {42, 229}, {64, 146}, {97,
179}, {96, 178}, {77, 159}, {76, 158}, {73, 155}, {72, 154}, {69, 151}, {68,
150}, {65, 147}, {100, 182}, {101, 183}, {104, 186}, {105, 187}, {108, 190},
{109, 191}, {66, 148}, {75, 157}, {74, 156}, {67, 149}, {98, 180}, {99, 181},
{106, 188}, {107, 189}, {16, 203}, {20, 207}, {48, 235}, {52, 239}, {17, 204},
{19, 206}, {49, 236}, {51, 238}, {70, 152}, {71, 153}, {102, 184}, {103, 185},
{18, 205}, {50, 237}, {78, 160}, {95, 177}, {94, 176}, {79, 161}, {80, 162},
{93, 175}, {92, 174}, {89, 171}, {88, 170}, {85, 167}, {84, 166}, {81, 163},
{82, 164}, {91, 173}, {90, 172}, {83, 165}, {32, 219}, {36, 223}, {33, 220},
{35, 222}, {86, 168}, {87, 169}, {34, 221}, {127, 128}, {1, 269}, {69, 256},
{79, 266}, {77, 264}, {71, 258}, {70, 257}, {78, 265}, {72, 259}, {76, 263},
{73, 260}, {75, 262}, {74, 261}, {80, 267}, {81, 268}, {82, 269}, {174, 256},
{175, 257}, {176, 258}, {177, 259}, {180, 262}, {181, 263}, {184, 266}, {185,
267}, {178, 260}, {179, 261}, {186, 268}, {187, 269}, {182, 264}, {183, 265},
{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) (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, 188, 269, 83)(3, 106, 268, 165)(4, 24, 267, 247)(5, 211, 266, 60)(6, 129,
265, 142)(7, 47, 264, 224)(8, 234, 263, 37)(9, 152, 262, 119)(10, 70, 261,
201)(11, 257, 260, 14)(12, 175, 259, 96)(13, 93, 258, 178)(15, 198, 256, 73)(16,
116, 255, 155)(17, 34, 254, 237)(18, 221, 253, 50)(19, 139, 252, 132)(20, 57,
251, 214)(21, 244, 250, 27)(22, 162, 249, 109)(23, 80, 248, 191)(25, 185, 246,
86)(26, 103, 245, 168)(28, 208, 243, 63)(29, 126, 242, 145)(30, 44, 241,
227)(31, 231, 240, 40)(32, 149, 239, 122)(33, 67, 238, 204)(35, 172, 236,
99)(36, 90, 235, 181)(38, 195, 233, 76)(39, 113, 232, 158)(41, 218, 230, 53)(42,
136, 229, 135)(43, 54, 228, 217)(45, 159, 226, 112)(46, 77, 225, 194)(48, 182,
223, 89)(49, 100, 222, 171)(51, 205, 220, 66)(52, 123, 219, 148)(55, 146, 216,
125)(56, 64, 215, 207)(58, 169, 213, 102)(59, 87, 212, 184)(61, 192, 210,
79)(62, 110, 209, 161)(65, 133, 206, 138)(68, 156, 203, 115)(69, 74, 202,
197)(71, 179, 200, 92)(72, 97, 199, 174)(75, 120, 196, 151)(78, 143, 193,
128)(81, 166, 190, 105)(82, 84, 189, 187)(85, 107, 186, 164)(88, 130, 183,
141)(91, 153, 180, 118)(94, 176, 177, 95)(98, 117, 173, 154)(101, 140, 170,
131)(104, 163, 167, 108)(111, 127, 160, 144)(114, 150, 157, 121)(124, 137, 147,
134)
C4[ 269, 1 ]
269
-1 188 2 269 83
-2 1 189 3 84
-3 2 190 4 85
-4 3 191 5 86
-5 4 192 6 87
-6 88 5 193 7
-7 89 6 194 8
-8 90 7 195 9
-9 91 8 196 10
-10 11 92 9 197
-11 198 12 93 10
-12 11 199 13 94
-13 12 200 14 95
-14 13 201 15 96
-15 14 202 16 97
-16 15 203 17 98
-17 99 16 204 18
-18 100 17 205 19
-19 101 18 206 20
-20 102 19 207 21
-21 22 103 20 208
-22 209 23 104 21
-23 22 210 24 105
-24 23 211 25 106
-25 24 212 26 107
-26 25 213 27 108
-27 26 214 28 109
-28 110 27 215 29
-29 111 28 216 30
-30 112 29 217 31
-31 113 30 218 32
-32 33 114 31 219
-33 220 34 115 32
-34 33 221 35 116
-35 34 222 36 117
-36 35 223 37 118
-37 36 224 38 119
-38 37 225 39 120
-39 121 38 226 40
-40 122 39 227 41
-41 123 40 228 42
-42 124 41 229 43
-43 44 125 42 230
-44 231 45 126 43
-45 44 232 46 127
-46 45 233 47 128
-47 46 234 48 129
-48 47 235 49 130
-49 48 236 50 131
-50 132 49 237 51
-51 133 50 238 52
-52 134 51 239 53
-53 135 52 240 54
-54 55 136 53 241
-55 242 56 137 54
-56 55 243 57 138
-57 56 244 58 139
-58 57 245 59 140
-59 58 246 60 141
-60 59 247 61 142
-61 143 60 248 62
-62 144 61 249 63
-63 145 62 250 64
-64 146 63 251 65
-65 66 147 64 252
-66 253 67 148 65
-67 66 254 68 149
-68 67 255 69 150
-69 68 256 70 151
-70 69 257 71 152
-71 70 258 72 153
-72 154 71 259 73
-73 155 72 260 74
-74 156 73 261 75
-75 157 74 262 76
-76 77 158 75 263
-77 264 78 159 76
-78 77 265 79 160
-79 78 266 80 161
-80 79 267 81 162
-81 80 268 82 163
-82 81 269 83 164
-83 165 1 82 84
-84 166 2 83 85
-85 167 3 84 86
-86 168 4 85 87
-87 88 169 5 86
-88 89 170 6 87
-89 88 90 171 7
-90 89 91 172 8
-91 90 92 173 9
-92 91 93 174 10
-93 11 92 94 175
-94 176 12 93 95
-95 177 13 94 96
-96 178 14 95 97
-97 179 15 96 98
-98 99 180 16 97
-99 100 181 17 98
-100 99 101 182 18
-101 100 102 183 19
-102 101 103 184 20
-103 102 104 185 21
-104 22 103 105 186
-105 187 23 104 106
-106 188 24 105 107
-107 189 25 106 108
-108 190 26 107 109
-109 110 191 27 108
-110 111 192 28 109
-111 110 112 193 29
-112 111 113 194 30
-113 112 114 195 31
-114 113 115 196 32
-115 33 114 116 197
-116 198 34 115 117
-117 199 35 116 118
-118 200 36 117 119
-119 201 37 118 120
-120 121 202 38 119
-121 122 203 39 120
-122 121 123 204 40
-123 122 124 205 41
-124 123 125 206 42
-125 124 126 207 43
-126 44 125 127 208
-127 209 45 126 128
-128 210 46 127 129
-129 211 47 128 130
-130 212 48 129 131
-131 132 213 49 130
-132 133 214 50 131
-133 132 134 215 51
-134 133 135 216 52
-135 134 136 217 53
-136 135 137 218 54
-137 55 136 138 219
-138 220 56 137 139
-139 221 57 138 140
-140 222 58 139 141
-141 223 59 140 142
-142 143 224 60 141
-143 144 225 61 142
-144 143 145 226 62
-145 144 146 227 63
-146 145 147 228 64
-147 146 148 229 65
-148 66 147 149 230
-149 231 67 148 150
-150 232 68 149 151
-151 233 69 150 152
-152 234 70 151 153
-153 154 235 71 152
-154 155 236 72 153
-155 154 156 237 73
-156 155 157 238 74
-157 156 158 239 75
-158 157 159 240 76
-159 77 158 160 241
-160 242 78 159 161
-161 243 79 160 162
-162 244 80 161 163
-163 245 81 162 164
-164 165 246 82 163
-165 166 247 83 164
-166 165 167 248 84
-167 166 168 249 85
-168 167 169 250 86
-169 168 170 251 87
-170 88 169 171 252
-171 253 89 170 172
-172 254 90 171 173
-173 255 91 172 174
-174 256 92 173 175
-175 176 257 93 174
-176 177 258 94 175
-177 176 178 259 95
-178 177 179 260 96
-179 178 180 261 97
-180 179 181 262 98
-181 99 180 182 263
-182 264 100 181 183
-183 265 101 182 184
-184 266 102 183 185
-185 267 103 184 186
-186 187 268 104 185
-187 188 269 105 186
-188 187 1 189 106
-189 188 2 190 107
-190 189 3 191 108
-191 190 4 192 109
-192 110 191 5 193
-193 111 192 6 194
-194 112 193 7 195
-195 113 194 8 196
-196 114 195 9 197
-197 198 115 196 10
-198 11 199 116 197
-199 198 12 200 117
-200 199 13 201 118
-201 200 14 202 119
-202 201 15 203 120
-203 121 202 16 204
-204 122 203 17 205
-205 123 204 18 206
-206 124 205 19 207
-207 125 206 20 208
-208 209 126 207 21
-209 22 210 127 208
-210 209 23 211 128
-211 210 24 212 129
-212 211 25 213 130
-213 212 26 214 131
-214 132 213 27 215
-215 133 214 28 216
-216 134 215 29 217
-217 135 216 30 218
-218 136 217 31 219
-219 220 137 218 32
-220 33 221 138 219
-221 220 34 222 139
-222 221 35 223 140
-223 222 36 224 141
-224 223 37 225 142
-225 143 224 38 226
-226 144 225 39 227
-227 145 226 40 228
-228 146 227 41 229
-229 147 228 42 230
-230 231 148 229 43
-231 44 232 149 230
-232 231 45 233 150
-233 232 46 234 151
-234 233 47 235 152
-235 234 48 236 153
-236 154 235 49 237
-237 155 236 50 238
-238 156 237 51 239
-239 157 238 52 240
-240 158 239 53 241
-241 242 159 240 54
-242 55 243 160 241
-243 242 56 244 161
-244 243 57 245 162
-245 244 58 246 163
-246 245 59 247 164
-247 165 246 60 248
-248 166 247 61 249
-249 167 248 62 250
-250 168 249 63 251
-251 169 250 64 252
-252 253 170 251 65
-253 66 254 171 252
-254 253 67 255 172
-255 254 68 256 173
-256 255 69 257 174
-257 256 70 258 175
-258 176 257 71 259
-259 177 258 72 260
-260 178 259 73 261
-261 179 260 74 262
-262 180 261 75 263
-263 264 181 262 76
-264 77 265 182 263
-265 264 78 266 183
-266 265 79 267 184
-267 266 80 268 185
-268 267 81 269 186
-269 187 1 268 82
0