Graph forms
for C4 [ 261, 3 ] = {4,4}_15,6
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On this page are computer-accessible forms for the graph C4[ 261, 3 ] =
{4,4}_15,6.
(I) Following is a form readable by MAGMA:
g:=Graph<261|{ {2, 3}, {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}, {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}, {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}, {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}, {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}, {1, 2}, {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}, {97, 98}, {93,
94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61,
62}, {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}, {57, 58}, {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}, {193, 194}, {197, 198}, {201, 202}, {3, 4}, {259,
260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212},
{203, 204}, {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}, {195, 196}, {7, 8}, {247, 248}, {231, 232}, {215,
216}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {103, 104}, {119, 120}, {135,
136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {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, 87}, {8, 95}, {32, 119}, {40, 127}, {128,
215}, {136, 223}, {160, 247}, {168, 255}, {1, 88}, {3, 90}, {5, 92}, {7, 94},
{33, 120}, {35, 122}, {37, 124}, {39, 126}, {129, 216}, {131, 218}, {133, 220},
{135, 222}, {161, 248}, {163, 250}, {165, 252}, {167, 254}, {2, 89}, {6, 93},
{34, 121}, {38, 125}, {130, 217}, {134, 221}, {162, 249}, {166, 253}, {4, 91},
{36, 123}, {132, 219}, {164, 251}, {9, 96}, {11, 98}, {13, 100}, {15, 102}, {25,
112}, {27, 114}, {29, 116}, {31, 118}, {137, 224}, {139, 226}, {141, 228}, {143,
230}, {153, 240}, {155, 242}, {157, 244}, {159, 246}, {10, 97}, {14, 101}, {26,
113}, {30, 117}, {138, 225}, {142, 229}, {154, 241}, {158, 245}, {12, 99}, {28,
115}, {140, 227}, {156, 243}, {16, 103}, {24, 111}, {144, 231}, {152, 239}, {17,
104}, {19, 106}, {21, 108}, {23, 110}, {145, 232}, {147, 234}, {149, 236}, {151,
238}, {18, 105}, {22, 109}, {146, 233}, {150, 237}, {20, 107}, {63, 64}, {148,
235}, {191, 192}, {37, 175}, {85, 223}, {84, 222}, {81, 219}, {80, 218}, {69,
207}, {68, 206}, {65, 203}, {64, 202}, {48, 186}, {49, 187}, {52, 190}, {53,
191}, {50, 188}, {83, 221}, {82, 220}, {67, 205}, {66, 204}, {51, 189}, {38,
176}, {79, 217}, {78, 216}, {71, 209}, {70, 208}, {39, 177}, {46, 184}, {47,
185}, {40, 178}, {77, 215}, {76, 214}, {73, 211}, {72, 210}, {41, 179}, {44,
182}, {45, 183}, {42, 180}, {75, 213}, {74, 212}, {43, 181}, {41, 128}, {63,
150}, {61, 148}, {59, 146}, {43, 130}, {45, 132}, {47, 134}, {57, 144}, {105,
192}, {107, 194}, {109, 196}, {111, 198}, {121, 208}, {123, 210}, {125, 212},
{127, 214}, {42, 129}, {62, 149}, {58, 145}, {46, 133}, {106, 193}, {110, 197},
{122, 209}, {126, 213}, {44, 131}, {60, 147}, {108, 195}, {124, 211}, {86, 224},
{87, 225}, {48, 135}, {56, 143}, {112, 199}, {120, 207}, {49, 136}, {51, 138},
{53, 140}, {55, 142}, {113, 200}, {115, 202}, {117, 204}, {119, 206}, {50, 137},
{54, 141}, {114, 201}, {118, 205}, {52, 139}, {116, 203}, {64, 151}, {96, 183},
{72, 159}, {104, 191}, {65, 152}, {97, 184}, {71, 158}, {69, 156}, {67, 154},
{99, 186}, {101, 188}, {103, 190}, {66, 153}, {70, 157}, {98, 185}, {102, 189},
{68, 155}, {100, 187}, {2, 227}, {4, 229}, {6, 231}, {8, 233}, {10, 235}, {12,
237}, {14, 239}, {16, 241}, {18, 243}, {20, 245}, {22, 247}, {24, 249}, {26,
251}, {28, 253}, {30, 255}, {1, 226}, {5, 230}, {9, 234}, {13, 238}, {17, 242},
{21, 246}, {25, 250}, {29, 254}, {3, 228}, {11, 236}, {19, 244}, {27, 252}, {73,
160}, {95, 182}, {93, 180}, {91, 178}, {89, 176}, {79, 166}, {77, 164}, {75,
162}, {74, 161}, {94, 181}, {90, 177}, {78, 165}, {7, 232}, {92, 179}, {76,
163}, {23, 248}, {54, 192}, {88, 174}, {63, 201}, {62, 200}, {55, 193}, {80,
167}, {88, 175}, {81, 168}, {87, 174}, {85, 172}, {83, 170}, {56, 194}, {61,
199}, {60, 198}, {57, 195}, {82, 169}, {86, 173}, {58, 196}, {59, 197}, {15,
240}, {84, 171}, {127, 128}, {31, 256}, {32, 257}, {34, 259}, {36, 261}, {33,
258}, {35, 260}, {169, 256}, {171, 258}, {173, 260}, {175, 261}, {170, 257},
{174, 261}, {172, 259}, {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, 226, 87, 88)(3, 139, 86, 175)(4, 52, 85, 37)(5, 190, 84, 124)(6, 103, 83,
211)(7, 16, 82, 73)(8, 241, 81, 160)(9, 154, 80, 247)(10, 67, 79, 22)(11, 205,
78, 109)(12, 118, 77, 196)(13, 31, 76, 58)(14, 256, 75, 145)(15, 169, 74,
232)(17, 220, 72, 94)(18, 133, 71, 181)(19, 46, 70, 43)(20, 184, 69, 130)(21,
97, 68, 217)(23, 235, 66, 166)(24, 148, 65, 253)(25, 61, 64, 28)(26, 199, 63,
115)(27, 112, 62, 202)(29, 250, 60, 151)(30, 163, 59, 238)(32, 214, 57, 100)(33,
127, 56, 187)(34, 40, 55, 49)(35, 178, 54, 136)(36, 91, 53, 223)(38, 229, 51,
172)(39, 142, 50, 259)(41, 193, 48, 121)(42, 106, 47, 208)(44, 244, 45, 157)(89,
227, 225, 174)(90, 140, 224, 261)(92, 191, 222, 123)(93, 104, 221, 210)(95, 242,
219, 159)(96, 155, 218, 246)(98, 206, 216, 108)(99, 119, 215, 195)(101, 257,
213, 144)(102, 170, 212, 231)(105, 134, 209, 180)(107, 185, 207, 129)(110, 236,
204, 165)(111, 149, 203, 252)(113, 200, 201, 114)(116, 251, 198, 150)(117, 164,
197, 237)(120, 128, 194, 186)(122, 179, 192, 135)(125, 230, 189, 171)(126, 143,
188, 258)(131, 245, 183, 156)(132, 158, 182, 243)(137, 260, 177, 141)(138, 173,
176, 228)(146, 239, 255, 162)(147, 152, 254, 249)(153, 167, 248, 234)(161, 233,
240, 168) (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)
c: (2, 87)(3, 86)(4, 85)(5, 84)(6, 83)(7, 82)(8, 81)(9, 80)(10, 79)(11, 78)(12,
77)(13, 76)(14, 75)(15, 74)(16, 73)(17, 72)(18, 71)(19, 70)(20, 69)(21, 68)(22,
67)(23, 66)(24, 65)(25, 64)(26, 63)(27, 62)(28, 61)(29, 60)(30, 59)(31, 58)(32,
57)(33, 56)(34, 55)(35, 54)(36, 53)(37, 52)(38, 51)(39, 50)(40, 49)(41, 48)(42,
47)(43, 46)(44, 45)(88, 226)(89, 225)(90, 224)(91, 223)(92, 222)(93, 221)(94,
220)(95, 219)(96, 218)(97, 217)(98, 216)(99, 215)(100, 214)(101, 213)(102,
212)(103, 211)(104, 210)(105, 209)(106, 208)(107, 207)(108, 206)(109, 205)(110,
204)(111, 203)(112, 202)(113, 201)(114, 200)(115, 199)(116, 198)(117, 197)(118,
196)(119, 195)(120, 194)(121, 193)(122, 192)(123, 191)(124, 190)(125, 189)(126,
188)(127, 187)(128, 186)(129, 185)(130, 184)(131, 183)(132, 182)(133, 181)(134,
180)(135, 179)(136, 178)(137, 177)(138, 176)(139, 175)(140, 261)(141, 260)(142,
259)(143, 258)(144, 257)(145, 256)(146, 255)(147, 254)(148, 253)(149, 252)(150,
251)(151, 250)(152, 249)(153, 248)(154, 247)(155, 246)(156, 245)(157, 244)(158,
243)(159, 242)(160, 241)(161, 240)(162, 239)(163, 238)(164, 237)(165, 236)(166,
235)(167, 234)(168, 233)(169, 232)(170, 231)(171, 230)(172, 229)(173, 228)(174,
227)
C4[ 261, 3 ]
261
-1 88 2 226 87
-2 1 89 3 227
-3 2 90 4 228
-4 3 91 5 229
-5 4 92 6 230
-6 231 5 93 7
-7 232 6 94 8
-8 233 7 95 9
-9 234 8 96 10
-10 11 235 9 97
-11 12 236 10 98
-12 11 99 13 237
-13 12 100 14 238
-14 13 101 15 239
-15 14 102 16 240
-16 15 103 17 241
-17 242 16 104 18
-18 243 17 105 19
-19 244 18 106 20
-20 245 19 107 21
-21 22 246 20 108
-22 23 247 21 109
-23 22 110 24 248
-24 23 111 25 249
-25 24 112 26 250
-26 25 113 27 251
-27 26 114 28 252
-28 253 27 115 29
-29 254 28 116 30
-30 255 29 117 31
-31 256 30 118 32
-32 33 257 31 119
-33 34 258 32 120
-34 33 121 35 259
-35 34 122 36 260
-36 35 123 37 261
-37 36 124 38 175
-38 176 37 125 39
-39 177 38 126 40
-40 178 39 127 41
-41 179 40 128 42
-42 180 41 129 43
-43 44 181 42 130
-44 45 182 43 131
-45 44 132 46 183
-46 45 133 47 184
-47 46 134 48 185
-48 47 135 49 186
-49 187 48 136 50
-50 188 49 137 51
-51 189 50 138 52
-52 190 51 139 53
-53 191 52 140 54
-54 55 192 53 141
-55 56 193 54 142
-56 55 143 57 194
-57 56 144 58 195
-58 57 145 59 196
-59 58 146 60 197
-60 198 59 147 61
-61 199 60 148 62
-62 200 61 149 63
-63 201 62 150 64
-64 202 63 151 65
-65 66 203 64 152
-66 67 204 65 153
-67 66 154 68 205
-68 67 155 69 206
-69 68 156 70 207
-70 69 157 71 208
-71 209 70 158 72
-72 210 71 159 73
-73 211 72 160 74
-74 212 73 161 75
-75 213 74 162 76
-76 77 214 75 163
-77 78 215 76 164
-78 77 165 79 216
-79 78 166 80 217
-80 79 167 81 218
-81 80 168 82 219
-82 220 81 169 83
-83 221 82 170 84
-84 222 83 171 85
-85 223 84 172 86
-86 224 85 173 87
-87 1 225 86 174
-88 1 89 174 175
-89 88 176 2 90
-90 89 177 3 91
-91 90 178 4 92
-92 91 179 5 93
-93 92 180 6 94
-94 93 181 7 95
-95 94 182 8 96
-96 95 183 9 97
-97 96 184 10 98
-98 11 99 97 185
-99 12 100 98 186
-100 99 187 13 101
-101 100 188 14 102
-102 101 189 15 103
-103 102 190 16 104
-104 103 191 17 105
-105 104 192 18 106
-106 105 193 19 107
-107 106 194 20 108
-108 107 195 21 109
-109 22 110 108 196
-110 23 111 109 197
-111 110 198 24 112
-112 111 199 25 113
-113 112 200 26 114
-114 113 201 27 115
-115 114 202 28 116
-116 115 203 29 117
-117 116 204 30 118
-118 117 205 31 119
-119 118 206 32 120
-120 33 121 119 207
-121 34 122 120 208
-122 121 209 35 123
-123 122 210 36 124
-124 123 211 37 125
-125 124 212 38 126
-126 125 213 39 127
-127 126 214 40 128
-128 127 215 41 129
-129 128 216 42 130
-130 129 217 43 131
-131 44 132 130 218
-132 45 133 131 219
-133 132 220 46 134
-134 133 221 47 135
-135 134 222 48 136
-136 135 223 49 137
-137 136 224 50 138
-138 137 225 51 139
-139 138 226 52 140
-140 139 227 53 141
-141 140 228 54 142
-142 55 143 141 229
-143 56 144 142 230
-144 143 231 57 145
-145 144 232 58 146
-146 145 233 59 147
-147 146 234 60 148
-148 147 235 61 149
-149 148 236 62 150
-150 149 237 63 151
-151 150 238 64 152
-152 151 239 65 153
-153 66 154 152 240
-154 67 155 153 241
-155 154 242 68 156
-156 155 243 69 157
-157 156 244 70 158
-158 157 245 71 159
-159 158 246 72 160
-160 159 247 73 161
-161 160 248 74 162
-162 161 249 75 163
-163 162 250 76 164
-164 77 165 163 251
-165 78 166 164 252
-166 165 253 79 167
-167 166 254 80 168
-168 167 255 81 169
-169 168 256 82 170
-170 169 257 83 171
-171 170 258 84 172
-172 171 259 85 173
-173 172 260 86 174
-174 88 173 261 87
-175 88 176 37 261
-176 89 177 38 175
-177 176 90 178 39
-178 177 91 179 40
-179 178 92 180 41
-180 179 93 181 42
-181 180 94 182 43
-182 44 181 95 183
-183 45 182 96 184
-184 46 183 97 185
-185 47 184 98 186
-186 99 187 48 185
-187 100 188 49 186
-188 187 101 189 50
-189 188 102 190 51
-190 189 103 191 52
-191 190 104 192 53
-192 191 105 193 54
-193 55 192 106 194
-194 56 193 107 195
-195 57 194 108 196
-196 58 195 109 197
-197 110 198 59 196
-198 111 199 60 197
-199 198 112 200 61
-200 199 113 201 62
-201 200 114 202 63
-202 201 115 203 64
-203 202 116 204 65
-204 66 203 117 205
-205 67 204 118 206
-206 68 205 119 207
-207 69 206 120 208
-208 121 209 70 207
-209 122 210 71 208
-210 209 123 211 72
-211 210 124 212 73
-212 211 125 213 74
-213 212 126 214 75
-214 213 127 215 76
-215 77 214 128 216
-216 78 215 129 217
-217 79 216 130 218
-218 80 217 131 219
-219 132 220 81 218
-220 133 221 82 219
-221 220 134 222 83
-222 221 135 223 84
-223 222 136 224 85
-224 223 137 225 86
-225 224 138 226 87
-226 1 225 139 227
-227 2 226 140 228
-228 3 227 141 229
-229 4 228 142 230
-230 143 231 5 229
-231 144 232 6 230
-232 231 145 233 7
-233 232 146 234 8
-234 233 147 235 9
-235 234 148 236 10
-236 11 235 149 237
-237 12 236 150 238
-238 13 237 151 239
-239 14 238 152 240
-240 15 239 153 241
-241 154 242 16 240
-242 155 243 17 241
-243 242 156 244 18
-244 243 157 245 19
-245 244 158 246 20
-246 245 159 247 21
-247 22 246 160 248
-248 23 247 161 249
-249 24 248 162 250
-250 25 249 163 251
-251 26 250 164 252
-252 165 253 27 251
-253 166 254 28 252
-254 253 167 255 29
-255 254 168 256 30
-256 255 169 257 31
-257 256 170 258 32
-258 33 257 171 259
-259 34 258 172 260
-260 35 259 173 261
-261 36 260 174 175
0