Graph forms
for C4 [ 273, 3 ] = C_273(1,118)
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On this page are computer-accessible forms for the graph C4[ 273, 3 ] =
C_273(1,118).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {2, 3}, {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}, {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}, {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}, {1, 2}, {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},
{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}, {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}, {165, 166}, {169, 170}, {173, 174}, {177,
178}, {181, 182}, {185, 186}, {3, 4}, {267, 268}, {259, 260}, {251, 252}, {243,
244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196},
{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}, {163, 164}, {171, 172}, {179,
180}, {187, 188}, {7, 8}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199,
200}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {103, 104}, {119, 120},
{135, 136}, {151, 152}, {167, 168}, {183, 184}, {15, 16}, {271, 272}, {239,
240}, {207, 208}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {175, 176}, {31,
32}, {223, 224}, {95, 96}, {159, 160}, {1, 119}, {8, 126}, {9, 127}, {128, 246},
{129, 247}, {136, 254}, {137, 255}, {2, 120}, {3, 121}, {6, 124}, {7, 125},
{130, 248}, {131, 249}, {134, 252}, {135, 253}, {4, 122}, {5, 123}, {132, 250},
{133, 251}, {63, 64}, {191, 192}, {10, 128}, {90, 208}, {79, 197}, {78, 196},
{75, 193}, {74, 192}, {63, 181}, {62, 180}, {59, 177}, {58, 176}, {11, 129},
{14, 132}, {15, 133}, {26, 144}, {27, 145}, {30, 148}, {31, 149}, {42, 160},
{43, 161}, {46, 164}, {47, 165}, {91, 209}, {94, 212}, {95, 213}, {106, 224},
{107, 225}, {110, 228}, {111, 229}, {122, 240}, {123, 241}, {126, 244}, {127,
245}, {12, 130}, {77, 195}, {76, 194}, {61, 179}, {60, 178}, {13, 131}, {28,
146}, {29, 147}, {44, 162}, {45, 163}, {92, 210}, {93, 211}, {108, 226}, {109,
227}, {124, 242}, {125, 243}, {16, 134}, {89, 207}, {88, 206}, {81, 199}, {80,
198}, {57, 175}, {56, 174}, {17, 135}, {24, 142}, {25, 143}, {48, 166}, {49,
167}, {112, 230}, {113, 231}, {120, 238}, {121, 239}, {18, 136}, {87, 205}, {86,
204}, {83, 201}, {82, 200}, {19, 137}, {22, 140}, {23, 141}, {50, 168}, {51,
169}, {54, 172}, {55, 173}, {114, 232}, {115, 233}, {118, 236}, {119, 237}, {4,
159}, {68, 223}, {64, 219}, {32, 187}, {36, 191}, {96, 251}, {100, 255}, {1,
156}, {67, 222}, {65, 220}, {3, 158}, {33, 188}, {35, 190}, {97, 252}, {99,
254}, {20, 138}, {85, 203}, {84, 202}, {21, 139}, {52, 170}, {53, 171}, {116,
234}, {117, 235}, {2, 157}, {66, 221}, {34, 189}, {98, 253}, {5, 160}, {87,
242}, {85, 240}, {79, 234}, {77, 232}, {71, 226}, {69, 224}, {7, 162}, {13,
168}, {15, 170}, {21, 176}, {23, 178}, {29, 184}, {31, 186}, {93, 248}, {95,
250}, {6, 161}, {86, 241}, {78, 233}, {70, 225}, {14, 169}, {22, 177}, {30,
185}, {94, 249}, {8, 163}, {88, 243}, {76, 231}, {72, 227}, {12, 167}, {24,
179}, {28, 183}, {92, 247}, {9, 164}, {89, 244}, {75, 230}, {73, 228}, {11,
166}, {25, 180}, {27, 182}, {91, 246}, {10, 165}, {90, 245}, {74, 229}, {26,
181}, {32, 150}, {33, 151}, {40, 158}, {41, 159}, {96, 214}, {97, 215}, {104,
222}, {105, 223}, {34, 152}, {35, 153}, {38, 156}, {39, 157}, {98, 216}, {99,
217}, {102, 220}, {103, 221}, {16, 171}, {84, 239}, {80, 235}, {20, 175}, {17,
172}, {83, 238}, {81, 236}, {19, 174}, {36, 154}, {37, 155}, {100, 218}, {101,
219}, {18, 173}, {82, 237}, {37, 192}, {63, 218}, {61, 216}, {39, 194}, {45,
200}, {47, 202}, {53, 208}, {55, 210}, {38, 193}, {62, 217}, {46, 201}, {54,
209}, {40, 195}, {60, 215}, {56, 211}, {44, 199}, {41, 196}, {59, 214}, {57,
212}, {43, 198}, {42, 197}, {58, 213}, {64, 182}, {73, 191}, {72, 190}, {65,
183}, {66, 184}, {71, 189}, {70, 188}, {67, 185}, {48, 203}, {52, 207}, {49,
204}, {51, 206}, {68, 186}, {69, 187}, {50, 205}, {127, 128}, {1, 273}, {101,
256}, {103, 258}, {109, 264}, {111, 266}, {117, 272}, {102, 257}, {110, 265},
{118, 273}, {104, 259}, {108, 263}, {105, 260}, {107, 262}, {106, 261}, {112,
267}, {116, 271}, {113, 268}, {115, 270}, {114, 269}, {138, 256}, {139, 257},
{142, 260}, {143, 261}, {154, 272}, {155, 273}, {140, 258}, {141, 259}, {144,
262}, {145, 263}, {152, 270}, {153, 271}, {146, 264}, {147, 265}, {150, 268},
{151, 269}, {148, 266}, {149, 267}, {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: (2, 119)(3, 237)(4, 82)(5, 200)(6, 45)(7, 163)(9, 126)(10, 244)(11, 89)(12,
207)(13, 52)(14, 170)(16, 133)(17, 251)(18, 96)(19, 214)(20, 59)(21, 177)(23,
140)(24, 258)(25, 103)(26, 221)(27, 66)(28, 184)(30, 147)(31, 265)(32, 110)(33,
228)(34, 73)(35, 191)(37, 154)(38, 272)(39, 117)(40, 235)(41, 80)(42, 198)(44,
161)(46, 124)(47, 242)(48, 87)(49, 205)(51, 168)(53, 131)(54, 249)(55, 94)(56,
212)(58, 175)(60, 138)(61, 256)(62, 101)(63, 219)(65, 182)(67, 145)(68, 263)(69,
108)(70, 226)(72, 189)(74, 152)(75, 270)(76, 115)(77, 233)(79, 196)(81, 159)(83,
122)(84, 240)(86, 203)(88, 166)(90, 129)(91, 247)(93, 210)(95, 173)(97, 136)(98,
254)(100, 217)(102, 180)(104, 143)(105, 261)(107, 224)(109, 187)(111, 150)(112,
268)(114, 231)(116, 194)(118, 157)(121, 238)(123, 201)(125, 164)(128, 245)(130,
208)(132, 171)(135, 252)(137, 215)(139, 178)(142, 259)(144, 222)(146, 185)(149,
266)(151, 229)(153, 192)(156, 273)(158, 236)(160, 199)(165, 243)(167, 206)(172,
250)(174, 213)(179, 257)(181, 220)(186, 264)(188, 227)(193, 271)(195, 234)(202,
241)(209, 248)(216, 255)(223, 262)(230, 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: (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)
c: (2, 156)(3, 38)(4, 193)(5, 75)(6, 230)(7, 112)(8, 267)(9, 149)(10, 31)(11,
186)(12, 68)(13, 223)(14, 105)(15, 260)(16, 142)(17, 24)(18, 179)(19, 61)(20,
216)(21, 98)(22, 253)(23, 135)(25, 172)(26, 54)(27, 209)(28, 91)(29, 246)(30,
128)(32, 165)(33, 47)(34, 202)(35, 84)(36, 239)(37, 121)(39, 158)(41, 195)(42,
77)(43, 232)(44, 114)(45, 269)(46, 151)(48, 188)(49, 70)(50, 225)(51, 107)(52,
262)(53, 144)(55, 181)(56, 63)(57, 218)(58, 100)(59, 255)(60, 137)(62, 174)(64,
211)(65, 93)(66, 248)(67, 130)(69, 167)(71, 204)(72, 86)(73, 241)(74, 123)(76,
160)(78, 197)(80, 234)(81, 116)(82, 271)(83, 153)(85, 190)(87, 227)(88, 109)(89,
264)(90, 146)(92, 183)(94, 220)(95, 102)(96, 257)(97, 139)(99, 176)(101,
213)(103, 250)(104, 132)(106, 169)(108, 206)(110, 243)(111, 125)(113, 162)(115,
199)(117, 236)(119, 273)(120, 155)(122, 192)(124, 229)(126, 266)(127, 148)(129,
185)(131, 222)(133, 259)(134, 141)(136, 178)(138, 215)(140, 252)(143, 171)(145,
208)(147, 245)(150, 164)(152, 201)(154, 238)(159, 194)(161, 231)(163, 268)(166,
187)(168, 224)(170, 261)(173, 180)(175, 217)(177, 254)(182, 210)(184, 247)(189,
203)(191, 240)(198, 233)(200, 270)(205, 226)(207, 263)(212, 219)(214, 256)(221,
249)(228, 242)(237, 272)(244, 265)(251, 258)
C4[ 273, 3 ]
273
-1 2 156 119 273
-2 1 3 157 120
-3 121 2 4 158
-4 122 3 5 159
-5 123 4 6 160
-6 124 5 7 161
-7 125 6 8 162
-8 126 7 9 163
-9 127 8 10 164
-10 11 165 128 9
-11 12 166 129 10
-12 11 13 167 130
-13 12 14 168 131
-14 132 13 15 169
-15 133 14 16 170
-16 134 15 17 171
-17 135 16 18 172
-18 136 17 19 173
-19 137 18 20 174
-20 138 19 21 175
-21 22 176 139 20
-22 23 177 140 21
-23 22 24 178 141
-24 23 25 179 142
-25 143 24 26 180
-26 144 25 27 181
-27 145 26 28 182
-28 146 27 29 183
-29 147 28 30 184
-30 148 29 31 185
-31 149 30 32 186
-32 33 187 150 31
-33 34 188 151 32
-34 33 35 189 152
-35 34 36 190 153
-36 154 35 37 191
-37 155 36 38 192
-38 156 37 39 193
-39 157 38 40 194
-40 158 39 41 195
-41 159 40 42 196
-42 160 41 43 197
-43 44 198 161 42
-44 45 199 162 43
-45 44 46 200 163
-46 45 47 201 164
-47 165 46 48 202
-48 166 47 49 203
-49 167 48 50 204
-50 168 49 51 205
-51 169 50 52 206
-52 170 51 53 207
-53 171 52 54 208
-54 55 209 172 53
-55 56 210 173 54
-56 55 57 211 174
-57 56 58 212 175
-58 176 57 59 213
-59 177 58 60 214
-60 178 59 61 215
-61 179 60 62 216
-62 180 61 63 217
-63 181 62 64 218
-64 182 63 65 219
-65 66 220 183 64
-66 67 221 184 65
-67 66 68 222 185
-68 67 69 223 186
-69 187 68 70 224
-70 188 69 71 225
-71 189 70 72 226
-72 190 71 73 227
-73 191 72 74 228
-74 192 73 75 229
-75 193 74 76 230
-76 77 231 194 75
-77 78 232 195 76
-78 77 79 233 196
-79 78 80 234 197
-80 198 79 81 235
-81 199 80 82 236
-82 200 81 83 237
-83 201 82 84 238
-84 202 83 85 239
-85 203 84 86 240
-86 204 85 87 241
-87 88 242 205 86
-88 89 243 206 87
-89 88 90 244 207
-90 89 91 245 208
-91 209 90 92 246
-92 210 91 93 247
-93 211 92 94 248
-94 212 93 95 249
-95 213 94 96 250
-96 214 95 97 251
-97 215 96 98 252
-98 99 253 216 97
-99 100 254 217 98
-100 99 101 255 218
-101 100 102 256 219
-102 220 101 103 257
-103 221 102 104 258
-104 222 103 105 259
-105 223 104 106 260
-106 224 105 107 261
-107 225 106 108 262
-108 226 107 109 263
-109 110 264 227 108
-110 111 265 228 109
-111 110 112 266 229
-112 111 113 267 230
-113 231 112 114 268
-114 232 113 115 269
-115 233 114 116 270
-116 234 115 117 271
-117 235 116 118 272
-118 236 117 119 273
-119 1 237 118 120
-120 121 2 238 119
-121 122 3 239 120
-122 121 123 4 240
-123 122 124 5 241
-124 242 123 125 6
-125 243 124 126 7
-126 244 125 127 8
-127 245 126 128 9
-128 246 127 129 10
-129 11 247 128 130
-130 12 248 129 131
-131 132 13 249 130
-132 133 14 250 131
-133 132 134 15 251
-134 133 135 16 252
-135 253 134 136 17
-136 254 135 137 18
-137 255 136 138 19
-138 256 137 139 20
-139 257 138 140 21
-140 22 258 139 141
-141 23 259 140 142
-142 143 24 260 141
-143 144 25 261 142
-144 143 145 26 262
-145 144 146 27 263
-146 264 145 147 28
-147 265 146 148 29
-148 266 147 149 30
-149 267 148 150 31
-150 268 149 151 32
-151 33 269 150 152
-152 34 270 151 153
-153 154 35 271 152
-154 155 36 272 153
-155 154 156 37 273
-156 1 155 157 38
-157 2 156 158 39
-158 3 157 159 40
-159 4 158 160 41
-160 5 159 161 42
-161 6 160 162 43
-162 44 7 161 163
-163 45 8 162 164
-164 165 46 9 163
-165 166 47 10 164
-166 11 165 167 48
-167 12 166 168 49
-168 13 167 169 50
-169 14 168 170 51
-170 15 169 171 52
-171 16 170 172 53
-172 17 171 173 54
-173 55 18 172 174
-174 56 19 173 175
-175 176 57 20 174
-176 177 58 21 175
-177 22 176 178 59
-178 23 177 179 60
-179 24 178 180 61
-180 25 179 181 62
-181 26 180 182 63
-182 27 181 183 64
-183 28 182 184 65
-184 66 29 183 185
-185 67 30 184 186
-186 187 68 31 185
-187 188 69 32 186
-188 33 187 189 70
-189 34 188 190 71
-190 35 189 191 72
-191 36 190 192 73
-192 37 191 193 74
-193 38 192 194 75
-194 39 193 195 76
-195 77 40 194 196
-196 78 41 195 197
-197 198 79 42 196
-198 199 80 43 197
-199 44 198 200 81
-200 45 199 201 82
-201 46 200 202 83
-202 47 201 203 84
-203 48 202 204 85
-204 49 203 205 86
-205 50 204 206 87
-206 88 51 205 207
-207 89 52 206 208
-208 209 90 53 207
-209 210 91 54 208
-210 55 209 211 92
-211 56 210 212 93
-212 57 211 213 94
-213 58 212 214 95
-214 59 213 215 96
-215 60 214 216 97
-216 61 215 217 98
-217 99 62 216 218
-218 100 63 217 219
-219 220 101 64 218
-220 221 102 65 219
-221 66 220 222 103
-222 67 221 223 104
-223 68 222 224 105
-224 69 223 225 106
-225 70 224 226 107
-226 71 225 227 108
-227 72 226 228 109
-228 110 73 227 229
-229 111 74 228 230
-230 231 112 75 229
-231 232 113 76 230
-232 77 231 233 114
-233 78 232 234 115
-234 79 233 235 116
-235 80 234 236 117
-236 81 235 237 118
-237 82 236 238 119
-238 83 237 239 120
-239 121 84 238 240
-240 122 85 239 241
-241 242 123 86 240
-242 243 124 87 241
-243 88 242 244 125
-244 89 243 245 126
-245 90 244 246 127
-246 91 245 247 128
-247 92 246 248 129
-248 93 247 249 130
-249 94 248 250 131
-250 132 95 249 251
-251 133 96 250 252
-252 253 134 97 251
-253 254 135 98 252
-254 99 253 255 136
-255 100 254 256 137
-256 101 255 257 138
-257 102 256 258 139
-258 103 257 259 140
-259 104 258 260 141
-260 105 259 261 142
-261 143 106 260 262
-262 144 107 261 263
-263 264 145 108 262
-264 265 146 109 263
-265 110 264 266 147
-266 111 265 267 148
-267 112 266 268 149
-268 113 267 269 150
-269 114 268 270 151
-270 115 269 271 152
-271 116 270 272 153
-272 154 117 271 273
-273 1 155 118 272
0