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