Graph forms
for C4 [ 272, 4 ] = {4,4}_16,4
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On this page are computer-accessible forms for the graph C4[ 272, 4 ] =
{4,4}_16,4.
(I) Following is a form readable by MAGMA:
g:=Graph<272|{ {2, 3}, {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}, {202, 203}, {200, 201}, {198, 199}, {196, 197},
{194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {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}, {66, 67}, {64, 65}, {62, 63}, {60,
61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {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}, {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}, {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}, {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}, {185, 186}, {93, 94}, {89, 90}, {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}, {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}, {3, 4}, {267, 268},
{259, 260}, {251, 252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211,
212}, {203, 204}, {195, 196}, {187, 188}, {91, 92}, {83, 84}, {75, 76}, {67,
68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {99,
100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {147, 148},
{155, 156}, {163, 164}, {171, 172}, {179, 180}, {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}, {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, 69},
{187, 255}, {186, 254}, {185, 253}, {184, 252}, {59, 127}, {58, 126}, {57, 125},
{56, 124}, {51, 119}, {50, 118}, {2, 70}, {3, 71}, {8, 76}, {9, 77}, {10, 78},
{11, 79}, {16, 84}, {17, 85}, {18, 86}, {19, 87}, {24, 92}, {25, 93}, {26, 94},
{27, 95}, {32, 100}, {33, 101}, {34, 102}, {35, 103}, {40, 108}, {41, 109}, {42,
110}, {43, 111}, {48, 116}, {49, 117}, {128, 196}, {129, 197}, {130, 198}, {131,
199}, {136, 204}, {137, 205}, {138, 206}, {139, 207}, {144, 212}, {145, 213},
{146, 214}, {147, 215}, {152, 220}, {153, 221}, {154, 222}, {155, 223}, {160,
228}, {161, 229}, {162, 230}, {163, 231}, {168, 236}, {169, 237}, {170, 238},
{171, 239}, {176, 244}, {177, 245}, {178, 246}, {179, 247}, {1, 68}, {137, 204},
{4, 72}, {183, 251}, {55, 123}, {54, 122}, {53, 121}, {52, 120}, {5, 73}, {6,
74}, {7, 75}, {20, 88}, {21, 89}, {22, 90}, {23, 91}, {36, 104}, {37, 105}, {38,
106}, {39, 107}, {132, 200}, {133, 201}, {134, 202}, {135, 203}, {148, 216},
{149, 217}, {150, 218}, {151, 219}, {164, 232}, {165, 233}, {166, 234}, {167,
235}, {180, 248}, {181, 249}, {182, 250}, {12, 80}, {13, 81}, {14, 82}, {15,
83}, {44, 112}, {45, 113}, {46, 114}, {47, 115}, {140, 208}, {141, 209}, {142,
210}, {143, 211}, {172, 240}, {173, 241}, {174, 242}, {175, 243}, {28, 96}, {29,
97}, {30, 98}, {31, 99}, {156, 224}, {157, 225}, {158, 226}, {159, 227}, {63,
64}, {191, 192}, {64, 216}, {68, 220}, {67, 219}, {66, 218}, {65, 217}, {60,
128}, {63, 131}, {62, 130}, {61, 129}, {124, 192}, {125, 193}, {126, 194}, {127,
195}, {64, 132}, {91, 159}, {90, 158}, {89, 157}, {88, 156}, {83, 151}, {82,
150}, {81, 149}, {80, 148}, {75, 143}, {74, 142}, {73, 141}, {72, 140}, {67,
135}, {66, 134}, {65, 133}, {96, 164}, {97, 165}, {98, 166}, {99, 167}, {104,
172}, {105, 173}, {106, 174}, {107, 175}, {112, 180}, {113, 181}, {114, 182},
{115, 183}, {120, 188}, {121, 189}, {122, 190}, {123, 191}, {68, 136}, {87,
155}, {86, 154}, {85, 153}, {84, 152}, {71, 139}, {70, 138}, {69, 137}, {100,
168}, {101, 169}, {102, 170}, {103, 171}, {116, 184}, {117, 185}, {118, 186},
{119, 187}, {69, 136}, {1, 221}, {79, 147}, {78, 146}, {77, 145}, {76, 144}, {2,
222}, {3, 223}, {32, 252}, {33, 253}, {34, 254}, {35, 255}, {108, 176}, {109,
177}, {110, 178}, {111, 179}, {4, 224}, {5, 225}, {6, 226}, {7, 227}, {12, 232},
{13, 233}, {14, 234}, {15, 235}, {20, 240}, {21, 241}, {22, 242}, {23, 243},
{28, 248}, {29, 249}, {30, 250}, {31, 251}, {56, 208}, {63, 215}, {62, 214},
{61, 213}, {60, 212}, {59, 211}, {58, 210}, {57, 209}, {8, 228}, {9, 229}, {10,
230}, {11, 231}, {24, 244}, {25, 245}, {26, 246}, {27, 247}, {53, 205}, {55,
207}, {54, 206}, {16, 236}, {93, 161}, {92, 160}, {17, 237}, {18, 238}, {19,
239}, {94, 162}, {95, 163}, {127, 128}, {36, 256}, {52, 272}, {37, 257}, {38,
258}, {39, 259}, {44, 264}, {45, 265}, {46, 266}, {47, 267}, {40, 260}, {41,
261}, {42, 262}, {43, 263}, {48, 268}, {51, 271}, {50, 270}, {49, 269}, {188,
256}, {191, 259}, {190, 258}, {189, 257}, {192, 260}, {203, 271}, {202, 270},
{201, 269}, {200, 268}, {195, 263}, {194, 262}, {193, 261}, {196, 264}, {199,
267}, {198, 266}, {197, 265}, {204, 272}, {205, 272}, {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, 69, 68, 221)(3, 137, 67, 153)(4, 205, 66, 85)(5, 53, 65, 17)(6, 121, 64,
237)(7, 189, 63, 169)(8, 257, 62, 101)(9, 37, 61, 33)(10, 105, 60, 253)(11, 173,
59, 185)(12, 241, 58, 117)(13, 21, 57, 49)(14, 89, 56, 269)(15, 157, 55,
201)(16, 225, 54, 133)(18, 73, 52, 217)(19, 141, 51, 149)(20, 209, 50, 81)(22,
125, 48, 233)(23, 193, 47, 165)(24, 261, 46, 97)(25, 41, 45, 29)(26, 109, 44,
249)(27, 177, 43, 181)(28, 245, 42, 113)(30, 93, 40, 265)(31, 161, 39, 197)(32,
229, 38, 129)(34, 77, 36, 213)(35, 145)(70, 136, 220, 222)(71, 204, 219,
154)(72, 272, 218, 86)(74, 120, 216, 238)(75, 188, 215, 170)(76, 256, 214,
102)(78, 104, 212, 254)(79, 172, 211, 186)(80, 240, 210, 118)(82, 88, 208,
270)(83, 156, 207, 202)(84, 224, 206, 134)(87, 140, 271, 150)(90, 124, 268,
234)(91, 192, 267, 166)(92, 260, 266, 98)(94, 108, 264, 250)(95, 176, 263,
182)(96, 244, 262, 114)(99, 160, 259, 198)(100, 228, 258, 130)(103, 144, 255,
146)(106, 128, 252, 230)(107, 196, 251, 162)(110, 112, 248, 246)(111, 180, 247,
178)(115, 164, 243, 194)(116, 232, 242, 126)(119, 148, 239, 142)(122, 132, 236,
226)(123, 200, 235, 158)(127, 184, 231, 174)(131, 168, 227, 190)(135, 152, 223,
138)(139, 203, 151, 155)(143, 187, 147, 171)(159, 191, 199, 167)(163, 175, 195,
183) (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)
C4[ 272, 4 ]
272
-1 221 2 68 69
-2 1 222 3 70
-3 2 223 4 71
-4 3 224 5 72
-5 4 225 6 73
-6 5 226 7 74
-7 6 227 8 75
-8 7 228 9 76
-9 77 8 229 10
-10 11 78 9 230
-11 231 12 79 10
-12 11 232 13 80
-13 12 233 14 81
-14 13 234 15 82
-15 14 235 16 83
-16 15 236 17 84
-17 16 237 18 85
-18 17 238 19 86
-19 18 239 20 87
-20 88 19 240 21
-21 22 89 20 241
-22 242 23 90 21
-23 22 243 24 91
-24 23 244 25 92
-25 24 245 26 93
-26 25 246 27 94
-27 26 247 28 95
-28 27 248 29 96
-29 28 249 30 97
-30 29 250 31 98
-31 99 30 251 32
-32 33 100 31 252
-33 253 34 101 32
-34 33 254 35 102
-35 34 255 36 103
-36 35 256 37 104
-37 36 257 38 105
-38 37 258 39 106
-39 38 259 40 107
-40 39 260 41 108
-41 40 261 42 109
-42 110 41 262 43
-43 44 111 42 263
-44 264 45 112 43
-45 44 265 46 113
-46 45 266 47 114
-47 46 267 48 115
-48 47 268 49 116
-49 48 269 50 117
-50 49 270 51 118
-51 50 271 52 119
-52 51 272 53 120
-53 121 205 52 54
-54 55 122 206 53
-55 56 123 207 54
-56 55 57 124 208
-57 209 56 58 125
-58 210 57 59 126
-59 211 58 60 127
-60 212 59 61 128
-61 213 60 62 129
-62 214 61 63 130
-63 215 62 64 131
-64 132 216 63 65
-65 66 133 217 64
-66 67 134 218 65
-67 66 68 135 219
-68 220 1 67 136
-69 1 70 136 137
-70 2 69 71 138
-71 3 70 72 139
-72 4 71 73 140
-73 5 72 74 141
-74 6 73 75 142
-75 143 7 74 76
-76 77 144 8 75
-77 78 145 9 76
-78 77 79 146 10
-79 11 78 80 147
-80 12 79 81 148
-81 13 80 82 149
-82 14 81 83 150
-83 15 82 84 151
-84 16 83 85 152
-85 17 84 86 153
-86 154 18 85 87
-87 88 155 19 86
-88 89 156 20 87
-89 88 90 157 21
-90 22 89 91 158
-91 23 90 92 159
-92 24 91 93 160
-93 25 92 94 161
-94 26 93 95 162
-95 27 94 96 163
-96 28 95 97 164
-97 165 29 96 98
-98 99 166 30 97
-99 100 167 31 98
-100 99 101 168 32
-101 33 100 102 169
-102 34 101 103 170
-103 35 102 104 171
-104 36 103 105 172
-105 37 104 106 173
-106 38 105 107 174
-107 39 106 108 175
-108 176 40 107 109
-109 110 177 41 108
-110 111 178 42 109
-111 110 112 179 43
-112 44 111 113 180
-113 45 112 114 181
-114 46 113 115 182
-115 47 114 116 183
-116 48 115 117 184
-117 49 116 118 185
-118 50 117 119 186
-119 187 51 118 120
-120 121 188 52 119
-121 122 189 53 120
-122 121 123 190 54
-123 55 122 124 191
-124 56 123 125 192
-125 57 124 126 193
-126 58 125 127 194
-127 59 126 128 195
-128 60 127 129 196
-129 61 128 130 197
-130 198 62 129 131
-131 132 199 63 130
-132 133 200 64 131
-133 132 134 201 65
-134 66 133 135 202
-135 67 134 136 203
-136 68 69 135 204
-137 69 138 204 205
-138 70 137 139 206
-139 71 138 140 207
-140 72 139 141 208
-141 209 73 140 142
-142 143 210 74 141
-143 144 211 75 142
-144 143 145 212 76
-145 77 144 146 213
-146 78 145 147 214
-147 79 146 148 215
-148 80 147 149 216
-149 81 148 150 217
-150 82 149 151 218
-151 83 150 152 219
-152 220 84 151 153
-153 154 221 85 152
-154 155 222 86 153
-155 154 156 223 87
-156 88 155 157 224
-157 89 156 158 225
-158 90 157 159 226
-159 91 158 160 227
-160 92 159 161 228
-161 93 160 162 229
-162 94 161 163 230
-163 231 95 162 164
-164 165 232 96 163
-165 166 233 97 164
-166 165 167 234 98
-167 99 166 168 235
-168 100 167 169 236
-169 101 168 170 237
-170 102 169 171 238
-171 103 170 172 239
-172 104 171 173 240
-173 105 172 174 241
-174 242 106 173 175
-175 176 243 107 174
-176 177 244 108 175
-177 176 178 245 109
-178 110 177 179 246
-179 111 178 180 247
-180 112 179 181 248
-181 113 180 182 249
-182 114 181 183 250
-183 115 182 184 251
-184 116 183 185 252
-185 253 117 184 186
-186 187 254 118 185
-187 188 255 119 186
-188 187 189 256 120
-189 121 188 190 257
-190 122 189 191 258
-191 123 190 192 259
-192 124 191 193 260
-193 125 192 194 261
-194 126 193 195 262
-195 127 194 196 263
-196 264 128 195 197
-197 198 265 129 196
-198 199 266 130 197
-199 198 200 267 131
-200 132 199 201 268
-201 133 200 202 269
-202 134 201 203 270
-203 135 202 204 271
-204 136 137 203 272
-205 137 206 272 53
-206 138 205 207 54
-207 55 139 206 208
-208 209 56 140 207
-209 210 57 141 208
-210 209 211 58 142
-211 143 210 212 59
-212 144 211 213 60
-213 145 212 214 61
-214 146 213 215 62
-215 147 214 216 63
-216 148 215 217 64
-217 149 216 218 65
-218 66 150 217 219
-219 220 67 151 218
-220 221 68 152 219
-221 220 1 222 153
-222 154 221 2 223
-223 155 222 3 224
-224 156 223 4 225
-225 157 224 5 226
-226 158 225 6 227
-227 159 226 7 228
-228 160 227 8 229
-229 161 228 9 230
-230 231 162 229 10
-231 11 232 163 230
-232 231 12 233 164
-233 165 232 13 234
-234 166 233 14 235
-235 167 234 15 236
-236 168 235 16 237
-237 169 236 17 238
-238 170 237 18 239
-239 171 238 19 240
-240 172 239 20 241
-241 242 173 240 21
-242 22 243 174 241
-243 242 23 244 175
-244 176 243 24 245
-245 177 244 25 246
-246 178 245 26 247
-247 179 246 27 248
-248 180 247 28 249
-249 181 248 29 250
-250 182 249 30 251
-251 183 250 31 252
-252 253 184 251 32
-253 33 254 185 252
-254 253 34 255 186
-255 187 254 35 256
-256 188 255 36 257
-257 189 256 37 258
-258 190 257 38 259
-259 191 258 39 260
-260 192 259 40 261
-261 193 260 41 262
-262 194 261 42 263
-263 264 195 262 43
-264 44 265 196 263
-265 264 45 266 197
-266 198 265 46 267
-267 199 266 47 268
-268 200 267 48 269
-269 201 268 49 270
-270 202 269 50 271
-271 203 270 51 272
-272 204 205 271 52
0