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