Graph forms
for C4 [ 286, 2 ] = C_286(1,131)
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On this page are computer-accessible forms for the graph C4[ 286, 2 ] =
C_286(1,131).
(I) Following is a form readable by MAGMA:
g:=Graph<286|{ {2, 3}, {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}, {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}, {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}, {1, 2}, {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}, {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}, {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}, {165, 166}, {3, 4}, {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}, {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},
{7, 8}, {279, 280}, {263, 264}, {247, 248}, {231, 232}, {215, 216}, {199, 200},
{183, 184}, {87, 88}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119,
120}, {135, 136}, {151, 152}, {167, 168}, {15, 16}, {271, 272}, {239, 240},
{207, 208}, {175, 176}, {79, 80}, {47, 48}, {111, 112}, {143, 144}, {31, 32},
{223, 224}, {95, 96}, {159, 160}, {63, 64}, {191, 192}, {4, 135}, {84, 215},
{80, 211}, {76, 207}, {72, 203}, {68, 199}, {64, 195}, {60, 191}, {56, 187}, {8,
139}, {12, 143}, {16, 147}, {20, 151}, {24, 155}, {28, 159}, {32, 163}, {36,
167}, {40, 171}, {44, 175}, {48, 179}, {52, 183}, {88, 219}, {92, 223}, {96,
227}, {100, 231}, {104, 235}, {108, 239}, {112, 243}, {116, 247}, {120, 251},
{124, 255}, {1, 132}, {83, 214}, {81, 212}, {75, 206}, {73, 204}, {67, 198},
{65, 196}, {59, 190}, {57, 188}, {3, 134}, {9, 140}, {11, 142}, {17, 148}, {19,
150}, {25, 156}, {27, 158}, {33, 164}, {35, 166}, {41, 172}, {43, 174}, {49,
180}, {51, 182}, {89, 220}, {91, 222}, {97, 228}, {99, 230}, {105, 236}, {107,
238}, {113, 244}, {115, 246}, {121, 252}, {123, 254}, {2, 133}, {82, 213}, {74,
205}, {66, 197}, {58, 189}, {10, 141}, {18, 149}, {26, 157}, {34, 165}, {42,
173}, {50, 181}, {90, 221}, {98, 229}, {106, 237}, {114, 245}, {122, 253}, {5,
136}, {87, 218}, {85, 216}, {71, 202}, {69, 200}, {55, 186}, {7, 138}, {21,
152}, {23, 154}, {37, 168}, {39, 170}, {53, 184}, {101, 232}, {103, 234}, {117,
248}, {119, 250}, {6, 137}, {86, 217}, {70, 201}, {54, 185}, {22, 153}, {38,
169}, {102, 233}, {118, 249}, {4, 159}, {68, 223}, {64, 219}, {32, 187}, {36,
191}, {96, 251}, {100, 255}, {1, 156}, {79, 210}, {77, 208}, {67, 222}, {65,
220}, {3, 158}, {13, 144}, {15, 146}, {33, 188}, {35, 190}, {45, 176}, {47,
178}, {97, 252}, {99, 254}, {109, 240}, {111, 242}, {2, 157}, {78, 209}, {66,
221}, {14, 145}, {34, 189}, {46, 177}, {98, 253}, {110, 241}, {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}, {76, 231}, {72, 227}, {12, 167}, {24, 179}, {28,
183}, {88, 243}, {92, 247}, {9, 164}, {75, 230}, {73, 228}, {11, 166}, {25,
180}, {27, 182}, {89, 244}, {91, 246}, {10, 165}, {74, 229}, {26, 181}, {90,
245}, {16, 171}, {84, 239}, {80, 235}, {20, 175}, {17, 172}, {83, 238}, {81,
236}, {19, 174}, {29, 160}, {31, 162}, {93, 224}, {95, 226}, {18, 173}, {82,
237}, {30, 161}, {94, 225}, {37, 192}, {63, 218}, {61, 216}, {55, 210}, {39,
194}, {45, 200}, {47, 202}, {53, 208}, {38, 193}, {62, 217}, {54, 209}, {46,
201}, {40, 195}, {60, 215}, {56, 211}, {44, 199}, {41, 196}, {59, 214}, {57,
212}, {43, 198}, {42, 197}, {58, 213}, {48, 203}, {52, 207}, {49, 204}, {63,
194}, {61, 192}, {51, 206}, {50, 205}, {62, 193}, {127, 128}, {1, 286}, {101,
256}, {103, 258}, {109, 264}, {111, 266}, {117, 272}, {119, 274}, {125, 280},
{127, 282}, {102, 257}, {110, 265}, {118, 273}, {126, 281}, {104, 259}, {108,
263}, {120, 275}, {124, 279}, {105, 260}, {107, 262}, {121, 276}, {123, 278},
{106, 261}, {122, 277}, {112, 267}, {116, 271}, {113, 268}, {115, 270}, {125,
256}, {127, 258}, {114, 269}, {126, 257}, {128, 259}, {132, 263}, {136, 267},
{140, 271}, {144, 275}, {148, 279}, {152, 283}, {129, 260}, {131, 262}, {137,
268}, {139, 270}, {145, 276}, {147, 278}, {153, 284}, {155, 286}, {130, 261},
{138, 269}, {146, 277}, {154, 285}, {133, 264}, {135, 266}, {149, 280}, {151,
282}, {134, 265}, {150, 281}, {128, 283}, {129, 284}, {131, 286}, {141, 272},
{143, 274}, {130, 285}, {142, 273}, {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, 132)(3, 263)(4, 108)(5, 239)(6, 84)(7, 215)(8, 60)(9, 191)(10, 36)(11,
167)(13, 143)(14, 274)(15, 119)(16, 250)(17, 95)(18, 226)(19, 71)(20, 202)(21,
47)(22, 178)(24, 154)(25, 285)(26, 130)(27, 261)(28, 106)(29, 237)(30, 82)(31,
213)(32, 58)(33, 189)(35, 165)(37, 141)(38, 272)(39, 117)(40, 248)(41, 93)(42,
224)(43, 69)(44, 200)(46, 176)(48, 152)(49, 283)(50, 128)(51, 259)(52, 104)(53,
235)(54, 80)(55, 211)(57, 187)(59, 163)(61, 139)(62, 270)(63, 115)(64, 246)(65,
91)(66, 222)(68, 198)(70, 174)(72, 150)(73, 281)(74, 126)(75, 257)(76, 102)(77,
233)(79, 209)(81, 185)(83, 161)(85, 137)(86, 268)(87, 113)(88, 244)(90, 220)(92,
196)(94, 172)(96, 148)(97, 279)(98, 124)(99, 255)(101, 231)(103, 207)(105,
183)(107, 159)(109, 135)(110, 266)(112, 242)(114, 218)(116, 194)(118, 170)(120,
146)(121, 277)(123, 253)(125, 229)(127, 205)(129, 181)(131, 157)(134, 264)(136,
240)(138, 216)(140, 192)(142, 168)(145, 275)(147, 251)(149, 227)(151, 203)(153,
179)(156, 286)(158, 262)(160, 238)(162, 214)(164, 190)(169, 273)(171, 249)(173,
225)(175, 201)(180, 284)(182, 260)(184, 236)(186, 212)(193, 271)(195, 247)(197,
223)(204, 282)(206, 258)(208, 234)(217, 269)(219, 245)(228, 280)(230, 256)(241,
267)(252, 278) (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, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286)
c: (2, 156)(3, 25)(4, 180)(5, 49)(6, 204)(7, 73)(8, 228)(9, 97)(10, 252)(11,
121)(12, 276)(13, 145)(15, 169)(16, 38)(17, 193)(18, 62)(19, 217)(20, 86)(21,
241)(22, 110)(23, 265)(24, 134)(26, 158)(28, 182)(29, 51)(30, 206)(31, 75)(32,
230)(33, 99)(34, 254)(35, 123)(36, 278)(37, 147)(39, 171)(41, 195)(42, 64)(43,
219)(44, 88)(45, 243)(46, 112)(47, 267)(48, 136)(50, 160)(52, 184)(54, 208)(55,
77)(56, 232)(57, 101)(58, 256)(59, 125)(60, 280)(61, 149)(63, 173)(65, 197)(67,
221)(68, 90)(69, 245)(70, 114)(71, 269)(72, 138)(74, 162)(76, 186)(78, 210)(80,
234)(81, 103)(82, 258)(83, 127)(84, 282)(85, 151)(87, 175)(89, 199)(91, 223)(93,
247)(94, 116)(95, 271)(96, 140)(98, 164)(100, 188)(102, 212)(104, 236)(106,
260)(107, 129)(108, 284)(109, 153)(111, 177)(113, 201)(115, 225)(117, 249)(119,
273)(120, 142)(122, 166)(124, 190)(126, 214)(128, 238)(130, 262)(132, 286)(133,
155)(135, 179)(137, 203)(139, 227)(141, 251)(143, 275)(146, 168)(148, 192)(150,
216)(152, 240)(154, 264)(159, 181)(161, 205)(163, 229)(165, 253)(167, 277)(172,
194)(174, 218)(176, 242)(178, 266)(185, 207)(187, 231)(189, 255)(191, 279)(198,
220)(200, 244)(202, 268)(211, 233)(213, 257)(215, 281)(224, 246)(226, 270)(237,
259)(239, 283)(250, 272)(263, 285)
C4[ 286, 2 ]
286
-1 132 286 2 156
-2 1 133 3 157
-3 2 134 4 158
-4 3 135 5 159
-5 4 136 6 160
-6 5 137 7 161
-7 6 138 8 162
-8 7 139 9 163
-9 8 140 10 164
-10 11 165 9 141
-11 12 166 10 142
-12 11 143 13 167
-13 12 144 14 168
-14 13 145 15 169
-15 14 146 16 170
-16 15 147 17 171
-17 16 148 18 172
-18 17 149 19 173
-19 18 150 20 174
-20 19 151 21 175
-21 22 176 20 152
-22 23 177 21 153
-23 22 154 24 178
-24 23 155 25 179
-25 24 156 26 180
-26 25 157 27 181
-27 26 158 28 182
-28 27 159 29 183
-29 28 160 30 184
-30 29 161 31 185
-31 30 162 32 186
-32 33 187 31 163
-33 34 188 32 164
-34 33 165 35 189
-35 34 166 36 190
-36 35 167 37 191
-37 36 168 38 192
-38 37 169 39 193
-39 38 170 40 194
-40 39 171 41 195
-41 40 172 42 196
-42 41 173 43 197
-43 44 198 42 174
-44 45 199 43 175
-45 44 176 46 200
-46 45 177 47 201
-47 46 178 48 202
-48 47 179 49 203
-49 48 180 50 204
-50 49 181 51 205
-51 50 182 52 206
-52 51 183 53 207
-53 52 184 54 208
-54 55 209 53 185
-55 56 210 54 186
-56 55 187 57 211
-57 56 188 58 212
-58 57 189 59 213
-59 58 190 60 214
-60 59 191 61 215
-61 60 192 62 216
-62 61 193 63 217
-63 62 194 64 218
-64 63 195 65 219
-65 66 220 64 196
-66 67 221 65 197
-67 66 198 68 222
-68 67 199 69 223
-69 68 200 70 224
-70 69 201 71 225
-71 70 202 72 226
-72 71 203 73 227
-73 72 204 74 228
-74 73 205 75 229
-75 74 206 76 230
-76 77 231 75 207
-77 78 232 76 208
-78 77 209 79 233
-79 78 210 80 234
-80 79 211 81 235
-81 80 212 82 236
-82 81 213 83 237
-83 82 214 84 238
-84 83 215 85 239
-85 84 216 86 240
-86 85 217 87 241
-87 88 242 86 218
-88 89 243 87 219
-89 88 220 90 244
-90 89 221 91 245
-91 90 222 92 246
-92 91 223 93 247
-93 92 224 94 248
-94 93 225 95 249
-95 94 226 96 250
-96 95 227 97 251
-97 96 228 98 252
-98 99 253 97 229
-99 100 254 98 230
-100 99 231 101 255
-101 100 232 102 256
-102 101 233 103 257
-103 102 234 104 258
-104 103 235 105 259
-105 104 236 106 260
-106 105 237 107 261
-107 106 238 108 262
-108 107 239 109 263
-109 110 264 108 240
-110 111 265 109 241
-111 110 242 112 266
-112 111 243 113 267
-113 112 244 114 268
-114 113 245 115 269
-115 114 246 116 270
-116 115 247 117 271
-117 116 248 118 272
-118 117 249 119 273
-119 118 250 120 274
-120 121 275 119 251
-121 122 276 120 252
-122 121 253 123 277
-123 122 254 124 278
-124 123 255 125 279
-125 124 256 126 280
-126 125 257 127 281
-127 126 258 128 282
-128 127 259 129 283
-129 128 260 130 284
-130 129 261 131 285
-131 132 286 130 262
-132 1 133 131 263
-133 132 264 2 134
-134 133 265 3 135
-135 134 266 4 136
-136 135 267 5 137
-137 136 268 6 138
-138 137 269 7 139
-139 138 270 8 140
-140 139 271 9 141
-141 140 272 10 142
-142 11 143 141 273
-143 12 144 142 274
-144 143 275 13 145
-145 144 276 14 146
-146 145 277 15 147
-147 146 278 16 148
-148 147 279 17 149
-149 148 280 18 150
-150 149 281 19 151
-151 150 282 20 152
-152 151 283 21 153
-153 22 154 152 284
-154 23 155 153 285
-155 154 286 24 156
-156 1 155 25 157
-157 2 156 26 158
-158 3 157 27 159
-159 4 158 28 160
-160 5 159 29 161
-161 6 160 30 162
-162 7 161 31 163
-163 8 162 32 164
-164 33 165 9 163
-165 34 166 10 164
-166 11 165 35 167
-167 12 166 36 168
-168 13 167 37 169
-169 14 168 38 170
-170 15 169 39 171
-171 16 170 40 172
-172 17 171 41 173
-173 18 172 42 174
-174 19 173 43 175
-175 44 176 20 174
-176 45 177 21 175
-177 22 176 46 178
-178 23 177 47 179
-179 24 178 48 180
-180 25 179 49 181
-181 26 180 50 182
-182 27 181 51 183
-183 28 182 52 184
-184 29 183 53 185
-185 30 184 54 186
-186 55 187 31 185
-187 56 188 32 186
-188 33 187 57 189
-189 34 188 58 190
-190 35 189 59 191
-191 36 190 60 192
-192 37 191 61 193
-193 38 192 62 194
-194 39 193 63 195
-195 40 194 64 196
-196 41 195 65 197
-197 66 198 42 196
-198 67 199 43 197
-199 44 198 68 200
-200 45 199 69 201
-201 46 200 70 202
-202 47 201 71 203
-203 48 202 72 204
-204 49 203 73 205
-205 50 204 74 206
-206 51 205 75 207
-207 52 206 76 208
-208 77 209 53 207
-209 78 210 54 208
-210 55 209 79 211
-211 56 210 80 212
-212 57 211 81 213
-213 58 212 82 214
-214 59 213 83 215
-215 60 214 84 216
-216 61 215 85 217
-217 62 216 86 218
-218 63 217 87 219
-219 88 220 64 218
-220 89 221 65 219
-221 66 220 90 222
-222 67 221 91 223
-223 68 222 92 224
-224 69 223 93 225
-225 70 224 94 226
-226 71 225 95 227
-227 72 226 96 228
-228 73 227 97 229
-229 74 228 98 230
-230 99 231 75 229
-231 100 232 76 230
-232 77 231 101 233
-233 78 232 102 234
-234 79 233 103 235
-235 80 234 104 236
-236 81 235 105 237
-237 82 236 106 238
-238 83 237 107 239
-239 84 238 108 240
-240 85 239 109 241
-241 110 242 86 240
-242 111 243 87 241
-243 88 242 112 244
-244 89 243 113 245
-245 90 244 114 246
-246 91 245 115 247
-247 92 246 116 248
-248 93 247 117 249
-249 94 248 118 250
-250 95 249 119 251
-251 96 250 120 252
-252 121 253 97 251
-253 122 254 98 252
-254 99 253 123 255
-255 100 254 124 256
-256 101 255 125 257
-257 102 256 126 258
-258 103 257 127 259
-259 104 258 128 260
-260 105 259 129 261
-261 106 260 130 262
-262 107 261 131 263
-263 132 264 108 262
-264 133 265 109 263
-265 110 264 134 266
-266 111 265 135 267
-267 112 266 136 268
-268 113 267 137 269
-269 114 268 138 270
-270 115 269 139 271
-271 116 270 140 272
-272 117 271 141 273
-273 118 272 142 274
-274 143 275 119 273
-275 144 276 120 274
-276 121 275 145 277
-277 122 276 146 278
-278 123 277 147 279
-279 124 278 148 280
-280 125 279 149 281
-281 126 280 150 282
-282 127 281 151 283
-283 128 282 152 284
-284 129 283 153 285
-285 154 286 130 284
-286 1 155 131 285
0