Graph forms
for C4 [ 275, 1 ] = C_275(1,76)
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On this page are computer-accessible forms for the graph C4[ 275, 1 ] =
C_275(1,76).
(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}, {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}, {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}, {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}, {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}, {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}, {97, 98}, {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}, {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}, {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},
{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}, {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, 77}, {51, 127}, {2,
78}, {3, 79}, {16, 92}, {17, 93}, {18, 94}, {19, 95}, {32, 108}, {33, 109}, {34,
110}, {35, 111}, {48, 124}, {49, 125}, {50, 126}, {128, 204}, {129, 205}, {130,
206}, {131, 207}, {144, 220}, {145, 221}, {146, 222}, {147, 223}, {160, 236},
{161, 237}, {162, 238}, {163, 239}, {176, 252}, {177, 253}, {178, 254}, {179,
255}, {4, 80}, {5, 81}, {6, 82}, {7, 83}, {12, 88}, {13, 89}, {14, 90}, {15,
91}, {36, 112}, {37, 113}, {38, 114}, {39, 115}, {44, 120}, {45, 121}, {46,
122}, {47, 123}, {132, 208}, {133, 209}, {134, 210}, {135, 211}, {140, 216},
{141, 217}, {142, 218}, {143, 219}, {164, 240}, {165, 241}, {166, 242}, {167,
243}, {172, 248}, {173, 249}, {174, 250}, {175, 251}, {8, 84}, {9, 85}, {10,
86}, {11, 87}, {40, 116}, {41, 117}, {42, 118}, {43, 119}, {136, 212}, {137,
213}, {138, 214}, {139, 215}, {168, 244}, {169, 245}, {170, 246}, {171, 247},
{20, 96}, {21, 97}, {22, 98}, {23, 99}, {28, 104}, {29, 105}, {30, 106}, {31,
107}, {148, 224}, {149, 225}, {150, 226}, {151, 227}, {156, 232}, {157, 233},
{158, 234}, {159, 235}, {24, 100}, {25, 101}, {26, 102}, {27, 103}, {152, 228},
{153, 229}, {154, 230}, {155, 231}, {63, 64}, {191, 192}, {52, 128}, {63, 139},
{62, 138}, {61, 137}, {60, 136}, {55, 131}, {54, 130}, {53, 129}, {116, 192},
{117, 193}, {118, 194}, {119, 195}, {124, 200}, {125, 201}, {126, 202}, {127,
203}, {56, 132}, {59, 135}, {58, 134}, {57, 133}, {120, 196}, {121, 197}, {122,
198}, {123, 199}, {8, 207}, {56, 255}, {16, 215}, {24, 223}, {32, 231}, {40,
239}, {48, 247}, {1, 200}, {55, 254}, {53, 252}, {51, 250}, {3, 202}, {5, 204},
{7, 206}, {17, 216}, {19, 218}, {21, 220}, {23, 222}, {33, 232}, {35, 234}, {37,
236}, {39, 238}, {49, 248}, {2, 201}, {54, 253}, {6, 205}, {18, 217}, {22, 221},
{34, 233}, {38, 237}, {50, 249}, {64, 140}, {96, 172}, {83, 159}, {82, 158},
{81, 157}, {80, 156}, {67, 143}, {66, 142}, {65, 141}, {97, 173}, {98, 174},
{99, 175}, {112, 188}, {113, 189}, {114, 190}, {115, 191}, {4, 203}, {52, 251},
{20, 219}, {36, 235}, {68, 144}, {79, 155}, {78, 154}, {77, 153}, {76, 152},
{71, 147}, {70, 146}, {69, 145}, {100, 176}, {101, 177}, {102, 178}, {103, 179},
{108, 184}, {109, 185}, {110, 186}, {111, 187}, {9, 208}, {11, 210}, {13, 212},
{15, 214}, {41, 240}, {43, 242}, {45, 244}, {47, 246}, {10, 209}, {14, 213},
{42, 241}, {46, 245}, {72, 148}, {75, 151}, {74, 150}, {73, 149}, {104, 180},
{105, 181}, {106, 182}, {107, 183}, {12, 211}, {44, 243}, {84, 160}, {95, 171},
{94, 170}, {93, 169}, {92, 168}, {87, 163}, {86, 162}, {85, 161}, {25, 224},
{27, 226}, {29, 228}, {31, 230}, {26, 225}, {30, 229}, {88, 164}, {91, 167},
{90, 166}, {89, 165}, {28, 227}, {127, 128}, {1, 275}, {57, 256}, {63, 262},
{61, 260}, {59, 258}, {58, 257}, {62, 261}, {60, 259}, {64, 263}, {72, 271},
{65, 264}, {71, 270}, {69, 268}, {67, 266}, {66, 265}, {70, 269}, {68, 267},
{73, 272}, {75, 274}, {74, 273}, {76, 275}, {180, 256}, {191, 267}, {190, 266},
{189, 265}, {188, 264}, {181, 257}, {182, 258}, {183, 259}, {184, 260}, {187,
263}, {185, 261}, {186, 262}, {192, 268}, {195, 271}, {194, 270}, {193, 269},
{196, 272}, {199, 275}, {198, 274}, {197, 273}, {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, 200)(3, 124)(4, 48)(5, 247)(6, 171)(7, 95)(8, 19)(9, 218)(10, 142)(11,
66)(12, 265)(13, 189)(14, 113)(15, 37)(16, 236)(17, 160)(18, 84)(20, 207)(21,
131)(22, 55)(23, 254)(24, 178)(25, 102)(27, 225)(28, 149)(29, 73)(30, 272)(31,
196)(32, 120)(33, 44)(34, 243)(35, 167)(36, 91)(38, 214)(39, 138)(40, 62)(41,
261)(42, 185)(43, 109)(45, 232)(46, 156)(47, 80)(49, 203)(50, 127)(52, 250)(53,
174)(54, 98)(56, 221)(57, 145)(58, 69)(59, 268)(60, 192)(61, 116)(63, 239)(64,
163)(65, 87)(67, 210)(68, 134)(70, 257)(71, 181)(72, 105)(74, 228)(75, 152)(77,
275)(78, 199)(79, 123)(81, 246)(82, 170)(83, 94)(85, 217)(86, 141)(88, 264)(89,
188)(90, 112)(92, 235)(93, 159)(96, 206)(97, 130)(99, 253)(100, 177)(103,
224)(104, 148)(106, 271)(107, 195)(108, 119)(110, 242)(111, 166)(114, 213)(115,
137)(117, 260)(118, 184)(121, 231)(122, 155)(125, 202)(128, 249)(129, 173)(132,
220)(133, 144)(135, 267)(136, 191)(139, 238)(140, 162)(143, 209)(146, 256)(147,
180)(150, 227)(153, 274)(154, 198)(157, 245)(158, 169)(161, 216)(164, 263)(165,
187)(168, 234)(172, 205)(175, 252)(179, 223)(182, 270)(183, 194)(186, 241)(190,
212)(193, 259)(197, 230)(204, 248)(208, 219)(211, 266)(215, 237)(222, 255)(229,
273)(233, 244)(240, 262)(258, 269) (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)
c: (2, 77)(3, 153)(4, 229)(5, 30)(6, 106)(7, 182)(8, 258)(9, 59)(10, 135)(11,
211)(13, 88)(14, 164)(15, 240)(16, 41)(17, 117)(18, 193)(19, 269)(20, 70)(21,
146)(22, 222)(24, 99)(25, 175)(26, 251)(27, 52)(28, 128)(29, 204)(31, 81)(32,
157)(33, 233)(35, 110)(36, 186)(37, 262)(38, 63)(39, 139)(40, 215)(42, 92)(43,
168)(44, 244)(46, 121)(47, 197)(48, 273)(49, 74)(50, 150)(51, 226)(53, 103)(54,
179)(55, 255)(57, 132)(58, 208)(60, 85)(61, 161)(62, 237)(64, 114)(65, 190)(66,
266)(68, 143)(69, 219)(71, 96)(72, 172)(73, 248)(75, 125)(76, 201)(79, 154)(80,
230)(82, 107)(83, 183)(84, 259)(86, 136)(87, 212)(90, 165)(91, 241)(93, 118)(94,
194)(95, 270)(97, 147)(98, 223)(101, 176)(102, 252)(104, 129)(105, 205)(108,
158)(109, 234)(112, 187)(113, 263)(115, 140)(116, 216)(119, 169)(120, 245)(123,
198)(124, 274)(126, 151)(127, 227)(130, 180)(131, 256)(134, 209)(137, 162)(138,
238)(141, 191)(142, 267)(145, 220)(148, 173)(149, 249)(152, 202)(156, 231)(159,
184)(160, 260)(163, 213)(167, 242)(170, 195)(171, 271)(174, 224)(178, 253)(181,
206)(185, 235)(189, 264)(192, 217)(196, 246)(200, 275)(203, 228)(207, 257)(214,
239)(218, 268)(225, 250)(236, 261)(247, 272)
C4[ 275, 1 ]
275
-1 77 275 2 200
-2 1 78 3 201
-3 2 79 4 202
-4 3 80 5 203
-5 4 81 6 204
-6 5 82 7 205
-7 6 83 8 206
-8 7 84 9 207
-9 8 85 10 208
-10 11 209 9 86
-11 12 210 10 87
-12 11 88 13 211
-13 12 89 14 212
-14 13 90 15 213
-15 14 91 16 214
-16 15 92 17 215
-17 16 93 18 216
-18 17 94 19 217
-19 18 95 20 218
-20 19 96 21 219
-21 22 220 20 97
-22 23 221 21 98
-23 22 99 24 222
-24 23 100 25 223
-25 24 101 26 224
-26 25 102 27 225
-27 26 103 28 226
-28 27 104 29 227
-29 28 105 30 228
-30 29 106 31 229
-31 30 107 32 230
-32 33 231 31 108
-33 34 232 32 109
-34 33 110 35 233
-35 34 111 36 234
-36 35 112 37 235
-37 36 113 38 236
-38 37 114 39 237
-39 38 115 40 238
-40 39 116 41 239
-41 40 117 42 240
-42 41 118 43 241
-43 44 242 42 119
-44 45 243 43 120
-45 44 121 46 244
-46 45 122 47 245
-47 46 123 48 246
-48 47 124 49 247
-49 48 125 50 248
-50 49 126 51 249
-51 50 127 52 250
-52 51 128 53 251
-53 52 129 54 252
-54 55 253 53 130
-55 56 254 54 131
-56 55 132 57 255
-57 56 133 58 256
-58 57 134 59 257
-59 58 135 60 258
-60 59 136 61 259
-61 60 137 62 260
-62 61 138 63 261
-63 62 139 64 262
-64 63 140 65 263
-65 66 264 64 141
-66 67 265 65 142
-67 66 143 68 266
-68 67 144 69 267
-69 68 145 70 268
-70 69 146 71 269
-71 70 147 72 270
-72 71 148 73 271
-73 72 149 74 272
-74 73 150 75 273
-75 74 151 76 274
-76 77 275 75 152
-77 1 78 76 153
-78 77 154 2 79
-79 78 155 3 80
-80 79 156 4 81
-81 80 157 5 82
-82 81 158 6 83
-83 82 159 7 84
-84 83 160 8 85
-85 84 161 9 86
-86 85 162 10 87
-87 11 88 86 163
-88 12 89 87 164
-89 88 165 13 90
-90 89 166 14 91
-91 90 167 15 92
-92 91 168 16 93
-93 92 169 17 94
-94 93 170 18 95
-95 94 171 19 96
-96 95 172 20 97
-97 96 173 21 98
-98 22 99 97 174
-99 23 100 98 175
-100 99 176 24 101
-101 100 177 25 102
-102 101 178 26 103
-103 102 179 27 104
-104 103 180 28 105
-105 104 181 29 106
-106 105 182 30 107
-107 106 183 31 108
-108 107 184 32 109
-109 33 110 108 185
-110 34 111 109 186
-111 110 187 35 112
-112 111 188 36 113
-113 112 189 37 114
-114 113 190 38 115
-115 114 191 39 116
-116 115 192 40 117
-117 116 193 41 118
-118 117 194 42 119
-119 118 195 43 120
-120 44 121 119 196
-121 45 122 120 197
-122 121 198 46 123
-123 122 199 47 124
-124 123 200 48 125
-125 124 201 49 126
-126 125 202 50 127
-127 126 203 51 128
-128 127 204 52 129
-129 128 205 53 130
-130 129 206 54 131
-131 55 132 130 207
-132 56 133 131 208
-133 132 209 57 134
-134 133 210 58 135
-135 134 211 59 136
-136 135 212 60 137
-137 136 213 61 138
-138 137 214 62 139
-139 138 215 63 140
-140 139 216 64 141
-141 140 217 65 142
-142 66 143 141 218
-143 67 144 142 219
-144 143 220 68 145
-145 144 221 69 146
-146 145 222 70 147
-147 146 223 71 148
-148 147 224 72 149
-149 148 225 73 150
-150 149 226 74 151
-151 150 227 75 152
-152 151 228 76 153
-153 77 154 152 229
-154 78 155 153 230
-155 154 231 79 156
-156 155 232 80 157
-157 156 233 81 158
-158 157 234 82 159
-159 158 235 83 160
-160 159 236 84 161
-161 160 237 85 162
-162 161 238 86 163
-163 162 239 87 164
-164 88 165 163 240
-165 89 166 164 241
-166 165 242 90 167
-167 166 243 91 168
-168 167 244 92 169
-169 168 245 93 170
-170 169 246 94 171
-171 170 247 95 172
-172 171 248 96 173
-173 172 249 97 174
-174 173 250 98 175
-175 99 176 174 251
-176 100 177 175 252
-177 176 253 101 178
-178 177 254 102 179
-179 178 255 103 180
-180 179 256 104 181
-181 180 257 105 182
-182 181 258 106 183
-183 182 259 107 184
-184 183 260 108 185
-185 184 261 109 186
-186 110 187 185 262
-187 111 188 186 263
-188 187 264 112 189
-189 188 265 113 190
-190 189 266 114 191
-191 190 267 115 192
-192 191 268 116 193
-193 192 269 117 194
-194 193 270 118 195
-195 194 271 119 196
-196 195 272 120 197
-197 121 198 196 273
-198 122 199 197 274
-199 198 275 123 200
-200 1 199 124 201
-201 2 200 125 202
-202 3 201 126 203
-203 4 202 127 204
-204 5 203 128 205
-205 6 204 129 206
-206 7 205 130 207
-207 8 206 131 208
-208 132 209 9 207
-209 133 210 10 208
-210 11 209 134 211
-211 12 210 135 212
-212 13 211 136 213
-213 14 212 137 214
-214 15 213 138 215
-215 16 214 139 216
-216 17 215 140 217
-217 18 216 141 218
-218 19 217 142 219
-219 143 220 20 218
-220 144 221 21 219
-221 22 220 145 222
-222 23 221 146 223
-223 24 222 147 224
-224 25 223 148 225
-225 26 224 149 226
-226 27 225 150 227
-227 28 226 151 228
-228 29 227 152 229
-229 30 228 153 230
-230 154 231 31 229
-231 155 232 32 230
-232 33 231 156 233
-233 34 232 157 234
-234 35 233 158 235
-235 36 234 159 236
-236 37 235 160 237
-237 38 236 161 238
-238 39 237 162 239
-239 40 238 163 240
-240 41 239 164 241
-241 165 242 42 240
-242 166 243 43 241
-243 44 242 167 244
-244 45 243 168 245
-245 46 244 169 246
-246 47 245 170 247
-247 48 246 171 248
-248 49 247 172 249
-249 50 248 173 250
-250 51 249 174 251
-251 52 250 175 252
-252 176 253 53 251
-253 177 254 54 252
-254 55 253 178 255
-255 56 254 179 256
-256 57 255 180 257
-257 58 256 181 258
-258 59 257 182 259
-259 60 258 183 260
-260 61 259 184 261
-261 62 260 185 262
-262 63 261 186 263
-263 187 264 64 262
-264 188 265 65 263
-265 66 264 189 266
-266 67 265 190 267
-267 68 266 191 268
-268 69 267 192 269
-269 70 268 193 270
-270 71 269 194 271
-271 72 270 195 272
-272 73 271 196 273
-273 74 272 197 274
-274 198 275 75 273
-275 1 199 76 274
0