Graph forms
for C4 [ 274, 2 ] = C_274(1,37)
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On this page are computer-accessible forms for the graph C4[ 274, 2 ] =
C_274(1,37).
(I) Following is a form readable by MAGMA:
g:=Graph<274|{ {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}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113},
{110, 111}, {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}, {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}, {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}, {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}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102},
{97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70},
{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}, {57, 58}, {61, 62}, {65, 66},
{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}, {189, 190}, {193, 194}, {197,
198}, {201, 202}, {205, 206}, {209, 210}, {3, 4}, {267, 268}, {259, 260}, {251,
252}, {243, 244}, {235, 236}, {227, 228}, {219, 220}, {211, 212}, {115, 116},
{107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {11, 12}, {19, 20}, {27,
28}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {123, 124}, {131, 132},
{139, 140}, {147, 148}, {155, 156}, {163, 164}, {171, 172}, {179, 180}, {187,
188}, {195, 196}, {203, 204}, {7, 8}, {263, 264}, {247, 248}, {231, 232}, {215,
216}, {119, 120}, {103, 104}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56},
{135, 136}, {151, 152}, {167, 168}, {183, 184}, {199, 200}, {15, 16}, {271,
272}, {239, 240}, {111, 112}, {79, 80}, {47, 48}, {143, 144}, {175, 176}, {207,
208}, {2, 39}, {218, 255}, {216, 253}, {210, 247}, {90, 127}, {88, 125}, {82,
119}, {80, 117}, {74, 111}, {72, 109}, {8, 45}, {10, 47}, {16, 53}, {18, 55},
{24, 61}, {26, 63}, {64, 101}, {66, 103}, {128, 165}, {130, 167}, {136, 173},
{138, 175}, {144, 181}, {146, 183}, {152, 189}, {154, 191}, {192, 229}, {194,
231}, {200, 237}, {202, 239}, {208, 245}, {1, 38}, {217, 254}, {209, 246}, {89,
126}, {81, 118}, {73, 110}, {9, 46}, {17, 54}, {25, 62}, {65, 102}, {129, 166},
{137, 174}, {145, 182}, {153, 190}, {193, 230}, {201, 238}, {3, 40}, {215, 252},
{211, 248}, {87, 124}, {83, 120}, {71, 108}, {67, 104}, {7, 44}, {19, 56}, {23,
60}, {131, 168}, {135, 172}, {147, 184}, {151, 188}, {195, 232}, {199, 236}, {4,
41}, {214, 251}, {212, 249}, {86, 123}, {84, 121}, {70, 107}, {68, 105}, {6,
43}, {20, 57}, {22, 59}, {132, 169}, {134, 171}, {148, 185}, {150, 187}, {196,
233}, {198, 235}, {5, 42}, {213, 250}, {85, 122}, {69, 106}, {21, 58}, {133,
170}, {149, 186}, {197, 234}, {11, 48}, {79, 116}, {75, 112}, {15, 52}, {139,
176}, {143, 180}, {203, 240}, {207, 244}, {12, 49}, {78, 115}, {76, 113}, {14,
51}, {140, 177}, {142, 179}, {204, 241}, {206, 243}, {13, 50}, {223, 224}, {95,
96}, {77, 114}, {31, 32}, {141, 178}, {159, 160}, {205, 242}, {27, 64}, {31,
68}, {59, 96}, {63, 100}, {155, 192}, {159, 196}, {187, 224}, {191, 228}, {28,
65}, {30, 67}, {60, 97}, {62, 99}, {156, 193}, {158, 195}, {188, 225}, {190,
227}, {29, 66}, {61, 98}, {157, 194}, {189, 226}, {32, 69}, {34, 71}, {40, 77},
{42, 79}, {48, 85}, {50, 87}, {56, 93}, {58, 95}, {160, 197}, {162, 199}, {168,
205}, {170, 207}, {176, 213}, {178, 215}, {184, 221}, {186, 223}, {33, 70}, {41,
78}, {49, 86}, {57, 94}, {161, 198}, {169, 206}, {177, 214}, {185, 222}, {35,
72}, {39, 76}, {51, 88}, {55, 92}, {163, 200}, {167, 204}, {179, 216}, {183,
220}, {36, 73}, {38, 75}, {52, 89}, {54, 91}, {164, 201}, {166, 203}, {180,
217}, {182, 219}, {37, 74}, {53, 90}, {165, 202}, {181, 218}, {43, 80}, {47,
84}, {171, 208}, {175, 212}, {44, 81}, {46, 83}, {172, 209}, {174, 211}, {45,
82}, {63, 64}, {173, 210}, {191, 192}, {91, 128}, {95, 132}, {123, 160}, {127,
164}, {92, 129}, {94, 131}, {124, 161}, {126, 163}, {93, 130}, {125, 162}, {96,
133}, {120, 157}, {114, 151}, {112, 149}, {106, 143}, {104, 141}, {98, 135},
{122, 159}, {97, 134}, {113, 150}, {105, 142}, {121, 158}, {99, 136}, {119,
156}, {115, 152}, {103, 140}, {2, 239}, {118, 155}, {116, 153}, {102, 139},
{100, 137}, {16, 253}, {18, 255}, {1, 238}, {117, 154}, {101, 138}, {17, 254},
{3, 240}, {7, 244}, {11, 248}, {15, 252}, {4, 241}, {6, 243}, {12, 249}, {14,
251}, {5, 242}, {13, 250}, {107, 144}, {111, 148}, {8, 245}, {110, 147}, {108,
145}, {10, 247}, {9, 246}, {109, 146}, {127, 128}, {1, 274}, {19, 256}, {23,
260}, {27, 264}, {31, 268}, {20, 257}, {22, 259}, {28, 265}, {30, 267}, {21,
258}, {29, 266}, {24, 261}, {26, 263}, {25, 262}, {32, 269}, {34, 271}, {33,
270}, {35, 272}, {36, 273}, {37, 274}, {219, 256}, {223, 260}, {220, 257}, {222,
259}, {221, 258}, {224, 261}, {234, 271}, {232, 269}, {226, 263}, {225, 262},
{233, 270}, {227, 264}, {231, 268}, {228, 265}, {230, 267}, {229, 266}, {235,
272}, {236, 273}, {237, 274}, {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, 38, 274, 238)(3, 75, 273, 201)(4, 112, 272, 164)(5, 149, 271, 127)(6,
186, 270, 90)(7, 223, 269, 53)(8, 260, 268, 16)(9, 23, 267, 253)(10, 60, 266,
216)(11, 97, 265, 179)(12, 134, 264, 142)(13, 171, 263, 105)(14, 208, 262,
68)(15, 245, 261, 31)(17, 45, 259, 231)(18, 82, 258, 194)(19, 119, 257, 157)(20,
156, 256, 120)(21, 193, 255, 83)(22, 230, 254, 46)(24, 30, 252, 246)(25, 67,
251, 209)(26, 104, 250, 172)(27, 141, 249, 135)(28, 178, 248, 98)(29, 215, 247,
61)(32, 52, 244, 224)(33, 89, 243, 187)(34, 126, 242, 150)(35, 163, 241,
113)(36, 200, 240, 76)(37, 237, 239, 39)(40, 74, 236, 202)(41, 111, 235,
165)(42, 148, 234, 128)(43, 185, 233, 91)(44, 222, 232, 54)(47, 59, 229,
217)(48, 96, 228, 180)(49, 133, 227, 143)(50, 170, 226, 106)(51, 207, 225,
69)(55, 81, 221, 195)(56, 118, 220, 158)(57, 155, 219, 121)(58, 192, 218,
84)(62, 66, 214, 210)(63, 103, 213, 173)(64, 140, 212, 136)(65, 177, 211,
99)(70, 88, 206, 188)(71, 125, 205, 151)(72, 162, 204, 114)(73, 199, 203,
77)(78, 110, 198, 166)(79, 147, 197, 129)(80, 184, 196, 92)(85, 95, 191,
181)(86, 132, 190, 144)(87, 169, 189, 107)(93, 117, 183, 159)(94, 154, 182,
122)(100, 102, 176, 174)(101, 139, 175, 137)(108, 124, 168, 152)(109, 161, 167,
115)(116, 146, 160, 130)(123, 131, 153, 145) (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)
C4[ 274, 2 ]
274
-1 2 38 238 274
-2 1 3 39 239
-3 2 4 40 240
-4 3 5 41 241
-5 242 4 6 42
-6 243 5 7 43
-7 44 244 6 8
-8 45 245 7 9
-9 46 246 8 10
-10 11 47 247 9
-11 12 48 248 10
-12 11 13 49 249
-13 12 14 50 250
-14 13 15 51 251
-15 14 16 52 252
-16 253 15 17 53
-17 254 16 18 54
-18 55 255 17 19
-19 56 256 18 20
-20 57 257 19 21
-21 22 58 258 20
-22 23 59 259 21
-23 22 24 60 260
-24 23 25 61 261
-25 24 26 62 262
-26 25 27 63 263
-27 264 26 28 64
-28 265 27 29 65
-29 66 266 28 30
-30 67 267 29 31
-31 68 268 30 32
-32 33 69 269 31
-33 34 70 270 32
-34 33 35 71 271
-35 34 36 72 272
-36 35 37 73 273
-37 36 38 74 274
-38 1 37 39 75
-39 2 38 40 76
-40 77 3 39 41
-41 78 4 40 42
-42 79 5 41 43
-43 44 80 6 42
-44 45 81 7 43
-45 44 46 82 8
-46 45 47 83 9
-47 46 48 84 10
-48 11 47 49 85
-49 12 48 50 86
-50 13 49 51 87
-51 88 14 50 52
-52 89 15 51 53
-53 90 16 52 54
-54 55 91 17 53
-55 56 92 18 54
-56 55 57 93 19
-57 56 58 94 20
-58 57 59 95 21
-59 22 58 60 96
-60 23 59 61 97
-61 24 60 62 98
-62 99 25 61 63
-63 100 26 62 64
-64 101 27 63 65
-65 66 102 28 64
-66 67 103 29 65
-67 66 68 104 30
-68 67 69 105 31
-69 68 70 106 32
-70 33 69 71 107
-71 34 70 72 108
-72 35 71 73 109
-73 110 36 72 74
-74 111 37 73 75
-75 112 38 74 76
-76 77 113 39 75
-77 78 114 40 76
-78 77 79 115 41
-79 78 80 116 42
-80 79 81 117 43
-81 44 80 82 118
-82 45 81 83 119
-83 46 82 84 120
-84 121 47 83 85
-85 122 48 84 86
-86 123 49 85 87
-87 88 124 50 86
-88 89 125 51 87
-89 88 90 126 52
-90 89 91 127 53
-91 90 92 128 54
-92 55 91 93 129
-93 56 92 94 130
-94 57 93 95 131
-95 132 58 94 96
-96 133 59 95 97
-97 134 60 96 98
-98 99 135 61 97
-99 100 136 62 98
-100 99 101 137 63
-101 100 102 138 64
-102 101 103 139 65
-103 66 102 104 140
-104 67 103 105 141
-105 68 104 106 142
-106 143 69 105 107
-107 144 70 106 108
-108 145 71 107 109
-109 110 146 72 108
-110 111 147 73 109
-111 110 112 148 74
-112 111 113 149 75
-113 112 114 150 76
-114 77 113 115 151
-115 78 114 116 152
-116 79 115 117 153
-117 154 80 116 118
-118 155 81 117 119
-119 156 82 118 120
-120 121 157 83 119
-121 122 158 84 120
-122 121 123 159 85
-123 122 124 160 86
-124 123 125 161 87
-125 88 124 126 162
-126 89 125 127 163
-127 90 126 128 164
-128 165 91 127 129
-129 166 92 128 130
-130 167 93 129 131
-131 132 168 94 130
-132 133 169 95 131
-133 132 134 170 96
-134 133 135 171 97
-135 134 136 172 98
-136 99 135 137 173
-137 100 136 138 174
-138 101 137 139 175
-139 176 102 138 140
-140 177 103 139 141
-141 178 104 140 142
-142 143 179 105 141
-143 144 180 106 142
-144 143 145 181 107
-145 144 146 182 108
-146 145 147 183 109
-147 110 146 148 184
-148 111 147 149 185
-149 112 148 150 186
-150 187 113 149 151
-151 188 114 150 152
-152 189 115 151 153
-153 154 190 116 152
-154 155 191 117 153
-155 154 156 192 118
-156 155 157 193 119
-157 156 158 194 120
-158 121 157 159 195
-159 122 158 160 196
-160 123 159 161 197
-161 198 124 160 162
-162 199 125 161 163
-163 200 126 162 164
-164 165 201 127 163
-165 166 202 128 164
-166 165 167 203 129
-167 166 168 204 130
-168 167 169 205 131
-169 132 168 170 206
-170 133 169 171 207
-171 134 170 172 208
-172 209 135 171 173
-173 210 136 172 174
-174 211 137 173 175
-175 176 212 138 174
-176 177 213 139 175
-177 176 178 214 140
-178 177 179 215 141
-179 178 180 216 142
-180 143 179 181 217
-181 144 180 182 218
-182 145 181 183 219
-183 220 146 182 184
-184 221 147 183 185
-185 222 148 184 186
-186 187 223 149 185
-187 188 224 150 186
-188 187 189 225 151
-189 188 190 226 152
-190 189 191 227 153
-191 154 190 192 228
-192 155 191 193 229
-193 156 192 194 230
-194 231 157 193 195
-195 232 158 194 196
-196 233 159 195 197
-197 198 234 160 196
-198 199 235 161 197
-199 198 200 236 162
-200 199 201 237 163
-201 200 202 238 164
-202 165 201 203 239
-203 166 202 204 240
-204 167 203 205 241
-205 242 168 204 206
-206 243 169 205 207
-207 244 170 206 208
-208 209 245 171 207
-209 210 246 172 208
-210 209 211 247 173
-211 210 212 248 174
-212 211 213 249 175
-213 176 212 214 250
-214 177 213 215 251
-215 178 214 216 252
-216 253 179 215 217
-217 254 180 216 218
-218 255 181 217 219
-219 220 256 182 218
-220 221 257 183 219
-221 220 222 258 184
-222 221 223 259 185
-223 222 224 260 186
-224 187 223 225 261
-225 188 224 226 262
-226 189 225 227 263
-227 264 190 226 228
-228 265 191 227 229
-229 266 192 228 230
-230 231 267 193 229
-231 232 268 194 230
-232 231 233 269 195
-233 232 234 270 196
-234 233 235 271 197
-235 198 234 236 272
-236 199 235 237 273
-237 200 236 238 274
-238 1 201 237 239
-239 2 202 238 240
-240 3 203 239 241
-241 242 4 204 240
-242 243 5 205 241
-243 242 244 6 206
-244 243 245 7 207
-245 244 246 8 208
-246 209 245 247 9
-247 210 246 248 10
-248 11 211 247 249
-249 12 212 248 250
-250 13 213 249 251
-251 14 214 250 252
-252 253 15 215 251
-253 254 16 216 252
-254 253 255 17 217
-255 254 256 18 218
-256 255 257 19 219
-257 220 256 258 20
-258 221 257 259 21
-259 22 222 258 260
-260 23 223 259 261
-261 24 224 260 262
-262 25 225 261 263
-263 264 26 226 262
-264 265 27 227 263
-265 264 266 28 228
-266 265 267 29 229
-267 266 268 30 230
-268 231 267 269 31
-269 232 268 270 32
-270 33 233 269 271
-271 34 234 270 272
-272 35 235 271 273
-273 36 236 272 274
-274 1 37 237 273
0