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