Graph forms
for C4 [ 273, 2 ] = C_273(1,92)
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On this page are computer-accessible forms for the graph C4[ 273, 2 ] =
C_273(1,92).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {2, 3}, {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}, {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}, {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}, {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}, {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}, {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},
{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}, {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},
{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, 93}, {2, 94}, {3, 95}, {32, 124}, {33,
125}, {34, 126}, {35, 127}, {128, 220}, {129, 221}, {130, 222}, {131, 223},
{160, 252}, {161, 253}, {162, 254}, {163, 255}, {4, 96}, {5, 97}, {6, 98}, {7,
99}, {12, 104}, {13, 105}, {14, 106}, {15, 107}, {20, 112}, {21, 113}, {22,
114}, {23, 115}, {28, 120}, {29, 121}, {30, 122}, {31, 123}, {132, 224}, {133,
225}, {134, 226}, {135, 227}, {140, 232}, {141, 233}, {142, 234}, {143, 235},
{148, 240}, {149, 241}, {150, 242}, {151, 243}, {156, 248}, {157, 249}, {158,
250}, {159, 251}, {8, 100}, {9, 101}, {10, 102}, {11, 103}, {24, 116}, {25,
117}, {26, 118}, {27, 119}, {136, 228}, {137, 229}, {138, 230}, {139, 231},
{152, 244}, {153, 245}, {154, 246}, {155, 247}, {16, 108}, {17, 109}, {18, 110},
{19, 111}, {144, 236}, {145, 237}, {146, 238}, {147, 239}, {63, 64}, {191, 192},
{36, 128}, {63, 155}, {62, 154}, {61, 153}, {60, 152}, {55, 147}, {37, 129},
{38, 130}, {39, 131}, {44, 136}, {45, 137}, {46, 138}, {47, 139}, {52, 144},
{53, 145}, {54, 146}, {100, 192}, {101, 193}, {102, 194}, {103, 195}, {108,
200}, {109, 201}, {110, 202}, {111, 203}, {116, 208}, {117, 209}, {118, 210},
{119, 211}, {124, 216}, {125, 217}, {126, 218}, {127, 219}, {40, 132}, {59,
151}, {58, 150}, {57, 149}, {56, 148}, {41, 133}, {42, 134}, {43, 135}, {104,
196}, {105, 197}, {106, 198}, {107, 199}, {120, 212}, {121, 213}, {122, 214},
{123, 215}, {2, 183}, {74, 255}, {72, 253}, {66, 247}, {64, 245}, {8, 189}, {10,
191}, {1, 182}, {73, 254}, {65, 246}, {9, 190}, {3, 184}, {71, 252}, {67, 248},
{7, 188}, {48, 140}, {49, 141}, {50, 142}, {51, 143}, {112, 204}, {113, 205},
{114, 206}, {115, 207}, {4, 185}, {70, 251}, {68, 249}, {6, 187}, {5, 186}, {69,
250}, {11, 192}, {63, 244}, {59, 240}, {15, 196}, {27, 208}, {31, 212}, {43,
224}, {47, 228}, {12, 193}, {62, 243}, {60, 241}, {14, 195}, {28, 209}, {30,
211}, {44, 225}, {46, 227}, {13, 194}, {61, 242}, {29, 210}, {45, 226}, {16,
197}, {58, 239}, {56, 237}, {18, 199}, {24, 205}, {26, 207}, {48, 229}, {50,
231}, {17, 198}, {57, 238}, {25, 206}, {49, 230}, {19, 200}, {55, 236}, {23,
204}, {51, 232}, {64, 156}, {67, 159}, {66, 158}, {65, 157}, {96, 188}, {97,
189}, {98, 190}, {99, 191}, {20, 201}, {54, 235}, {22, 203}, {52, 233}, {21,
202}, {53, 234}, {68, 160}, {87, 179}, {86, 178}, {85, 177}, {84, 176}, {79,
171}, {78, 170}, {77, 169}, {76, 168}, {71, 163}, {70, 162}, {69, 161}, {92,
184}, {93, 185}, {94, 186}, {95, 187}, {72, 164}, {91, 183}, {90, 182}, {89,
181}, {88, 180}, {75, 167}, {74, 166}, {73, 165}, {32, 213}, {34, 215}, {40,
221}, {42, 223}, {33, 214}, {41, 222}, {35, 216}, {39, 220}, {80, 172}, {83,
175}, {82, 174}, {81, 173}, {36, 217}, {38, 219}, {37, 218}, {127, 128}, {1,
273}, {75, 256}, {91, 272}, {79, 260}, {76, 257}, {78, 259}, {92, 273}, {77,
258}, {80, 261}, {90, 271}, {88, 269}, {82, 263}, {81, 262}, {89, 270}, {83,
264}, {87, 268}, {84, 265}, {86, 267}, {85, 266}, {164, 256}, {165, 257}, {166,
258}, {167, 259}, {172, 264}, {173, 265}, {174, 266}, {175, 267}, {180, 272},
{181, 273}, {168, 260}, {169, 261}, {170, 262}, {171, 263}, {176, 268}, {177,
269}, {178, 270}, {179, 271}, {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, 182)(3, 90)(4, 271)(5, 179)(6, 87)(7, 268)(8, 176)(9, 84)(10, 265)(11,
173)(12, 81)(13, 262)(14, 170)(15, 78)(16, 259)(17, 167)(18, 75)(19, 256)(20,
164)(21, 72)(22, 253)(23, 161)(24, 69)(25, 250)(26, 158)(27, 66)(28, 247)(29,
155)(30, 63)(31, 244)(32, 152)(33, 60)(34, 241)(35, 149)(36, 57)(37, 238)(38,
146)(39, 54)(40, 235)(41, 143)(42, 51)(43, 232)(44, 140)(45, 48)(46, 229)(47,
137)(49, 226)(50, 134)(52, 223)(53, 131)(55, 220)(56, 128)(58, 217)(59, 125)(61,
214)(62, 122)(64, 211)(65, 119)(67, 208)(68, 116)(70, 205)(71, 113)(73, 202)(74,
110)(76, 199)(77, 107)(79, 196)(80, 104)(82, 193)(83, 101)(85, 190)(86, 98)(88,
187)(89, 95)(91, 184)(93, 273)(94, 181)(96, 270)(97, 178)(99, 267)(100,
175)(102, 264)(103, 172)(105, 261)(106, 169)(108, 258)(109, 166)(111, 255)(112,
163)(114, 252)(115, 160)(117, 249)(118, 157)(120, 246)(121, 154)(123, 243)(124,
151)(126, 240)(127, 148)(129, 237)(130, 145)(132, 234)(133, 142)(135, 231)(136,
139)(138, 228)(141, 225)(144, 222)(147, 219)(150, 216)(153, 213)(156, 210)(159,
207)(162, 204)(165, 201)(168, 198)(171, 195)(174, 192)(177, 189)(180, 186)(185,
272)(188, 269)(191, 266)(194, 263)(197, 260)(200, 257)(203, 254)(206, 251)(209,
248)(212, 245)(215, 242)(218, 239)(221, 236)(224, 233)(227, 230) (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, 93)(3, 185)(5, 96)(6, 188)(8, 99)(9, 191)(11, 102)(12, 194)(14, 105)(15,
197)(17, 108)(18, 200)(20, 111)(21, 203)(23, 114)(24, 206)(26, 117)(27, 209)(29,
120)(30, 212)(32, 123)(33, 215)(35, 126)(36, 218)(38, 129)(39, 221)(41, 132)(42,
224)(44, 135)(45, 227)(47, 138)(48, 230)(50, 141)(51, 233)(53, 144)(54, 236)(56,
147)(57, 239)(59, 150)(60, 242)(62, 153)(63, 245)(65, 156)(66, 248)(68, 159)(69,
251)(71, 162)(72, 254)(74, 165)(75, 257)(77, 168)(78, 260)(80, 171)(81, 263)(83,
174)(84, 266)(86, 177)(87, 269)(89, 180)(90, 272)(92, 183)(95, 186)(98,
189)(101, 192)(104, 195)(107, 198)(110, 201)(113, 204)(116, 207)(119, 210)(122,
213)(125, 216)(128, 219)(131, 222)(134, 225)(137, 228)(140, 231)(143, 234)(146,
237)(149, 240)(152, 243)(155, 246)(158, 249)(161, 252)(164, 255)(167, 258)(170,
261)(173, 264)(176, 267)(179, 270)(182, 273)
c: (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)
C4[ 273, 2 ]
273
-1 2 93 182 273
-2 1 3 94 183
-3 2 4 95 184
-4 3 5 96 185
-5 4 6 97 186
-6 187 5 7 98
-7 99 188 6 8
-8 100 189 7 9
-9 101 190 8 10
-10 11 102 191 9
-11 12 103 192 10
-12 11 13 104 193
-13 12 14 105 194
-14 13 15 106 195
-15 14 16 107 196
-16 15 17 108 197
-17 198 16 18 109
-18 110 199 17 19
-19 111 200 18 20
-20 112 201 19 21
-21 22 113 202 20
-22 23 114 203 21
-23 22 24 115 204
-24 23 25 116 205
-25 24 26 117 206
-26 25 27 118 207
-27 26 28 119 208
-28 209 27 29 120
-29 121 210 28 30
-30 122 211 29 31
-31 123 212 30 32
-32 33 124 213 31
-33 34 125 214 32
-34 33 35 126 215
-35 34 36 127 216
-36 35 37 128 217
-37 36 38 129 218
-38 37 39 130 219
-39 220 38 40 131
-40 132 221 39 41
-41 133 222 40 42
-42 134 223 41 43
-43 44 135 224 42
-44 45 136 225 43
-45 44 46 137 226
-46 45 47 138 227
-47 46 48 139 228
-48 47 49 140 229
-49 48 50 141 230
-50 231 49 51 142
-51 143 232 50 52
-52 144 233 51 53
-53 145 234 52 54
-54 55 146 235 53
-55 56 147 236 54
-56 55 57 148 237
-57 56 58 149 238
-58 57 59 150 239
-59 58 60 151 240
-60 59 61 152 241
-61 242 60 62 153
-62 154 243 61 63
-63 155 244 62 64
-64 156 245 63 65
-65 66 157 246 64
-66 67 158 247 65
-67 66 68 159 248
-68 67 69 160 249
-69 68 70 161 250
-70 69 71 162 251
-71 70 72 163 252
-72 253 71 73 164
-73 165 254 72 74
-74 166 255 73 75
-75 167 256 74 76
-76 77 168 257 75
-77 78 169 258 76
-78 77 79 170 259
-79 78 80 171 260
-80 79 81 172 261
-81 80 82 173 262
-82 81 83 174 263
-83 264 82 84 175
-84 176 265 83 85
-85 177 266 84 86
-86 178 267 85 87
-87 88 179 268 86
-88 89 180 269 87
-89 88 90 181 270
-90 89 91 182 271
-91 90 92 183 272
-92 91 93 184 273
-93 1 92 94 185
-94 2 93 95 186
-95 187 3 94 96
-96 188 4 95 97
-97 189 5 96 98
-98 99 190 6 97
-99 100 191 7 98
-100 99 101 192 8
-101 100 102 193 9
-102 101 103 194 10
-103 11 102 104 195
-104 12 103 105 196
-105 13 104 106 197
-106 198 14 105 107
-107 199 15 106 108
-108 200 16 107 109
-109 110 201 17 108
-110 111 202 18 109
-111 110 112 203 19
-112 111 113 204 20
-113 112 114 205 21
-114 22 113 115 206
-115 23 114 116 207
-116 24 115 117 208
-117 209 25 116 118
-118 210 26 117 119
-119 211 27 118 120
-120 121 212 28 119
-121 122 213 29 120
-122 121 123 214 30
-123 122 124 215 31
-124 123 125 216 32
-125 33 124 126 217
-126 34 125 127 218
-127 35 126 128 219
-128 220 36 127 129
-129 221 37 128 130
-130 222 38 129 131
-131 132 223 39 130
-132 133 224 40 131
-133 132 134 225 41
-134 133 135 226 42
-135 134 136 227 43
-136 44 135 137 228
-137 45 136 138 229
-138 46 137 139 230
-139 231 47 138 140
-140 232 48 139 141
-141 233 49 140 142
-142 143 234 50 141
-143 144 235 51 142
-144 143 145 236 52
-145 144 146 237 53
-146 145 147 238 54
-147 55 146 148 239
-148 56 147 149 240
-149 57 148 150 241
-150 242 58 149 151
-151 243 59 150 152
-152 244 60 151 153
-153 154 245 61 152
-154 155 246 62 153
-155 154 156 247 63
-156 155 157 248 64
-157 156 158 249 65
-158 66 157 159 250
-159 67 158 160 251
-160 68 159 161 252
-161 253 69 160 162
-162 254 70 161 163
-163 255 71 162 164
-164 165 256 72 163
-165 166 257 73 164
-166 165 167 258 74
-167 166 168 259 75
-168 167 169 260 76
-169 77 168 170 261
-170 78 169 171 262
-171 79 170 172 263
-172 264 80 171 173
-173 265 81 172 174
-174 266 82 173 175
-175 176 267 83 174
-176 177 268 84 175
-177 176 178 269 85
-178 177 179 270 86
-179 178 180 271 87
-180 88 179 181 272
-181 89 180 182 273
-182 1 90 181 183
-183 2 91 182 184
-184 3 92 183 185
-185 4 93 184 186
-186 187 5 94 185
-187 188 6 95 186
-188 187 189 7 96
-189 188 190 8 97
-190 189 191 9 98
-191 99 190 192 10
-192 11 100 191 193
-193 12 101 192 194
-194 13 102 193 195
-195 14 103 194 196
-196 15 104 195 197
-197 198 16 105 196
-198 199 17 106 197
-199 198 200 18 107
-200 199 201 19 108
-201 200 202 20 109
-202 110 201 203 21
-203 22 111 202 204
-204 23 112 203 205
-205 24 113 204 206
-206 25 114 205 207
-207 26 115 206 208
-208 209 27 116 207
-209 210 28 117 208
-210 209 211 29 118
-211 210 212 30 119
-212 211 213 31 120
-213 121 212 214 32
-214 33 122 213 215
-215 34 123 214 216
-216 35 124 215 217
-217 36 125 216 218
-218 37 126 217 219
-219 220 38 127 218
-220 221 39 128 219
-221 220 222 40 129
-222 221 223 41 130
-223 222 224 42 131
-224 132 223 225 43
-225 44 133 224 226
-226 45 134 225 227
-227 46 135 226 228
-228 47 136 227 229
-229 48 137 228 230
-230 231 49 138 229
-231 232 50 139 230
-232 231 233 51 140
-233 232 234 52 141
-234 233 235 53 142
-235 143 234 236 54
-236 55 144 235 237
-237 56 145 236 238
-238 57 146 237 239
-239 58 147 238 240
-240 59 148 239 241
-241 242 60 149 240
-242 243 61 150 241
-243 242 244 62 151
-244 243 245 63 152
-245 244 246 64 153
-246 154 245 247 65
-247 66 155 246 248
-248 67 156 247 249
-249 68 157 248 250
-250 69 158 249 251
-251 70 159 250 252
-252 253 71 160 251
-253 254 72 161 252
-254 253 255 73 162
-255 254 256 74 163
-256 255 257 75 164
-257 165 256 258 76
-258 77 166 257 259
-259 78 167 258 260
-260 79 168 259 261
-261 80 169 260 262
-262 81 170 261 263
-263 264 82 171 262
-264 265 83 172 263
-265 264 266 84 173
-266 265 267 85 174
-267 266 268 86 175
-268 176 267 269 87
-269 88 177 268 270
-270 89 178 269 271
-271 90 179 270 272
-272 91 180 271 273
-273 1 92 181 272
0