Graph forms
for C4 [ 305, 3 ] = C_305(1,133)
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On this page are computer-accessible forms for the graph C4[ 305, 3 ] =
C_305(1,133).
(I) Following is a form readable by MAGMA:
g:=Graph<305|{ {2, 3}, {304, 305}, {302, 303}, {300, 301}, {298, 299}, {296,
297}, {294, 295}, {292, 293}, {290, 291}, {288, 289}, {286, 287}, {284, 285},
{282, 283}, {280, 281}, {278, 279}, {276, 277}, {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}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166,
167}, {164, 165}, {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}, {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}, {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}, {1, 2}, {301, 302}, {297, 298}, {293, 294}, {289, 290}, {285, 286}, {281,
282}, {277, 278}, {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}, {173, 174}, {169, 170}, {165, 166}, {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},
{3, 4}, {299, 300}, {291, 292}, {283, 284}, {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}, {171, 172}, {163, 164}, {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}, {7, 8}, {295, 296}, {279, 280}, {263, 264}, {247,
248}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {167, 168}, {87, 88}, {71,
72}, {55, 56}, {23, 24}, {39, 40}, {103, 104}, {119, 120}, {135, 136}, {151,
152}, {15, 16}, {303, 304}, {271, 272}, {239, 240}, {207, 208}, {175, 176}, {79,
80}, {47, 48}, {111, 112}, {143, 144}, {31, 32}, {287, 288}, {223, 224}, {95,
96}, {159, 160}, {63, 64}, {191, 192}, {2, 135}, {82, 215}, {80, 213}, {74,
207}, {72, 205}, {66, 199}, {64, 197}, {58, 191}, {56, 189}, {8, 141}, {10,
143}, {16, 149}, {18, 151}, {24, 157}, {26, 159}, {32, 165}, {34, 167}, {40,
173}, {42, 175}, {48, 181}, {50, 183}, {88, 221}, {90, 223}, {96, 229}, {98,
231}, {104, 237}, {106, 239}, {112, 245}, {114, 247}, {120, 253}, {122, 255},
{1, 134}, {81, 214}, {73, 206}, {65, 198}, {57, 190}, {9, 142}, {17, 150}, {25,
158}, {33, 166}, {41, 174}, {49, 182}, {89, 222}, {97, 230}, {105, 238}, {113,
246}, {121, 254}, {3, 136}, {87, 220}, {83, 216}, {71, 204}, {67, 200}, {55,
188}, {7, 140}, {19, 152}, {23, 156}, {35, 168}, {39, 172}, {51, 184}, {99,
232}, {103, 236}, {115, 248}, {119, 252}, {4, 137}, {86, 219}, {84, 217}, {70,
203}, {68, 201}, {54, 187}, {6, 139}, {20, 153}, {22, 155}, {36, 169}, {38,
171}, {52, 185}, {100, 233}, {102, 235}, {116, 249}, {118, 251}, {5, 138}, {85,
218}, {69, 202}, {53, 186}, {21, 154}, {37, 170}, {101, 234}, {117, 250}, {11,
144}, {79, 212}, {75, 208}, {15, 148}, {43, 176}, {47, 180}, {107, 240}, {111,
244}, {12, 145}, {78, 211}, {76, 209}, {14, 147}, {44, 177}, {46, 179}, {108,
241}, {110, 243}, {13, 146}, {77, 210}, {45, 178}, {109, 242}, {1, 173}, {83,
255}, {82, 254}, {81, 253}, {80, 252}, {67, 239}, {66, 238}, {65, 237}, {64,
236}, {2, 174}, {3, 175}, {16, 188}, {17, 189}, {18, 190}, {19, 191}, {4, 176},
{79, 251}, {78, 250}, {77, 249}, {76, 248}, {71, 243}, {70, 242}, {69, 241},
{68, 240}, {5, 177}, {6, 178}, {7, 179}, {12, 184}, {13, 185}, {14, 186}, {15,
187}, {27, 160}, {31, 164}, {91, 224}, {95, 228}, {8, 180}, {75, 247}, {74,
246}, {73, 245}, {72, 244}, {9, 181}, {10, 182}, {11, 183}, {28, 161}, {30,
163}, {92, 225}, {94, 227}, {29, 162}, {93, 226}, {20, 192}, {63, 235}, {62,
234}, {61, 233}, {60, 232}, {55, 227}, {54, 226}, {53, 225}, {52, 224}, {21,
193}, {22, 194}, {23, 195}, {28, 200}, {29, 201}, {30, 202}, {31, 203}, {24,
196}, {59, 231}, {58, 230}, {57, 229}, {56, 228}, {25, 197}, {26, 198}, {27,
199}, {32, 204}, {33, 205}, {34, 206}, {35, 207}, {48, 220}, {49, 221}, {50,
222}, {51, 223}, {36, 208}, {37, 209}, {38, 210}, {39, 211}, {44, 216}, {45,
217}, {46, 218}, {47, 219}, {59, 192}, {63, 196}, {40, 212}, {41, 213}, {42,
214}, {43, 215}, {60, 193}, {62, 195}, {61, 194}, {127, 128}, {1, 305}, {84,
256}, {86, 258}, {85, 257}, {87, 259}, {92, 264}, {93, 265}, {94, 266}, {95,
267}, {116, 288}, {117, 289}, {118, 290}, {119, 291}, {124, 296}, {125, 297},
{126, 298}, {127, 299}, {88, 260}, {89, 261}, {90, 262}, {91, 263}, {120, 292},
{121, 293}, {122, 294}, {123, 295}, {96, 268}, {97, 269}, {98, 270}, {99, 271},
{112, 284}, {113, 285}, {114, 286}, {115, 287}, {100, 272}, {101, 273}, {102,
274}, {103, 275}, {108, 280}, {109, 281}, {110, 282}, {111, 283}, {123, 256},
{127, 260}, {104, 276}, {105, 277}, {106, 278}, {107, 279}, {124, 257}, {126,
259}, {125, 258}, {128, 261}, {170, 303}, {168, 301}, {130, 263}, {136, 269},
{138, 271}, {144, 277}, {146, 279}, {152, 285}, {154, 287}, {160, 293}, {162,
295}, {129, 262}, {169, 302}, {137, 270}, {145, 278}, {153, 286}, {161, 294},
{131, 264}, {167, 300}, {163, 296}, {135, 268}, {147, 280}, {151, 284}, {132,
265}, {166, 299}, {164, 297}, {134, 267}, {148, 281}, {150, 283}, {133, 266},
{165, 298}, {149, 282}, {139, 272}, {171, 304}, {143, 276}, {140, 273}, {172,
305}, {142, 275}, {141, 274}, {128, 300}, {129, 301}, {130, 302}, {131, 303},
{132, 304}, {133, 305}, {155, 288}, {159, 292}, {156, 289}, {158, 291}, {157,
290}, {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, 134, 305, 173)(3, 267, 304, 40)(4, 95, 303, 212)(5, 228, 302, 79)(6, 56,
301, 251)(7, 189, 300, 118)(8, 17, 299, 290)(9, 150, 298, 157)(10, 283, 297,
24)(11, 111, 296, 196)(12, 244, 295, 63)(13, 72, 294, 235)(14, 205, 293,
102)(15, 33, 292, 274)(16, 166, 291, 141)(18, 127, 289, 180)(19, 260, 288,
47)(20, 88, 287, 219)(21, 221, 286, 86)(22, 49, 285, 258)(23, 182, 284, 125)(25,
143, 282, 164)(26, 276, 281, 31)(27, 104, 280, 203)(28, 237, 279, 70)(29, 65,
278, 242)(30, 198, 277, 109)(32, 159, 275, 148)(34, 120, 273, 187)(35, 253, 272,
54)(36, 81, 271, 226)(37, 214, 270, 93)(38, 42, 269, 265)(39, 175, 268, 132)(41,
136, 266, 171)(43, 97, 264, 210)(44, 230, 263, 77)(45, 58, 262, 249)(46, 191,
261, 116)(48, 152, 259, 155)(50, 113, 257, 194)(51, 246, 256, 61)(52, 74, 255,
233)(53, 207, 254, 100)(55, 168, 252, 139)(57, 129, 250, 178)(59, 90, 248,
217)(60, 223, 247, 84)(62, 184, 245, 123)(64, 145, 243, 162)(66, 106, 241,
201)(67, 239, 240, 68)(69, 200, 238, 107)(71, 161, 236, 146)(73, 122, 234,
185)(75, 83, 232, 224)(76, 216, 231, 91)(78, 177, 229, 130)(80, 138, 227,
169)(82, 99, 225, 208)(85, 193, 222, 114)(87, 154, 220, 153)(89, 115, 218,
192)(92, 209, 215, 98)(94, 170, 213, 137)(96, 131, 211, 176)(101, 186, 206,
121)(103, 147, 204, 160)(105, 108, 202, 199)(110, 163, 197, 144)(112, 124, 195,
183)(117, 179, 190, 128)(119, 140, 188, 167)(126, 156, 181, 151)(133, 172, 174,
135)(142, 149, 165, 158) (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,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292,
293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305)
C4[ 305, 3 ]
305
-1 2 134 173 305
-2 1 3 135 174
-3 2 4 136 175
-4 176 3 5 137
-5 177 4 6 138
-6 178 5 7 139
-7 179 6 8 140
-8 180 7 9 141
-9 181 8 10 142
-10 11 143 182 9
-11 12 144 183 10
-12 11 13 145 184
-13 12 14 146 185
-14 13 15 147 186
-15 187 14 16 148
-16 188 15 17 149
-17 189 16 18 150
-18 190 17 19 151
-19 191 18 20 152
-20 192 19 21 153
-21 22 154 193 20
-22 23 155 194 21
-23 22 24 156 195
-24 23 25 157 196
-25 24 26 158 197
-26 198 25 27 159
-27 199 26 28 160
-28 200 27 29 161
-29 201 28 30 162
-30 202 29 31 163
-31 203 30 32 164
-32 33 165 204 31
-33 34 166 205 32
-34 33 35 167 206
-35 34 36 168 207
-36 35 37 169 208
-37 209 36 38 170
-38 210 37 39 171
-39 211 38 40 172
-40 212 39 41 173
-41 213 40 42 174
-42 214 41 43 175
-43 44 176 215 42
-44 45 177 216 43
-45 44 46 178 217
-46 45 47 179 218
-47 46 48 180 219
-48 220 47 49 181
-49 221 48 50 182
-50 222 49 51 183
-51 223 50 52 184
-52 224 51 53 185
-53 225 52 54 186
-54 55 187 226 53
-55 56 188 227 54
-56 55 57 189 228
-57 56 58 190 229
-58 57 59 191 230
-59 231 58 60 192
-60 232 59 61 193
-61 233 60 62 194
-62 234 61 63 195
-63 235 62 64 196
-64 236 63 65 197
-65 66 198 237 64
-66 67 199 238 65
-67 66 68 200 239
-68 67 69 201 240
-69 68 70 202 241
-70 242 69 71 203
-71 243 70 72 204
-72 244 71 73 205
-73 245 72 74 206
-74 246 73 75 207
-75 247 74 76 208
-76 77 209 248 75
-77 78 210 249 76
-78 77 79 211 250
-79 78 80 212 251
-80 79 81 213 252
-81 253 80 82 214
-82 254 81 83 215
-83 255 82 84 216
-84 256 83 85 217
-85 257 84 86 218
-86 258 85 87 219
-87 88 220 259 86
-88 89 221 260 87
-89 88 90 222 261
-90 89 91 223 262
-91 90 92 224 263
-92 264 91 93 225
-93 265 92 94 226
-94 266 93 95 227
-95 267 94 96 228
-96 268 95 97 229
-97 269 96 98 230
-98 99 231 270 97
-99 100 232 271 98
-100 99 101 233 272
-101 100 102 234 273
-102 101 103 235 274
-103 275 102 104 236
-104 276 103 105 237
-105 277 104 106 238
-106 278 105 107 239
-107 279 106 108 240
-108 280 107 109 241
-109 110 242 281 108
-110 111 243 282 109
-111 110 112 244 283
-112 111 113 245 284
-113 112 114 246 285
-114 286 113 115 247
-115 287 114 116 248
-116 288 115 117 249
-117 289 116 118 250
-118 290 117 119 251
-119 291 118 120 252
-120 121 253 292 119
-121 122 254 293 120
-122 121 123 255 294
-123 122 124 256 295
-124 123 125 257 296
-125 297 124 126 258
-126 298 125 127 259
-127 299 126 128 260
-128 300 127 129 261
-129 301 128 130 262
-130 302 129 131 263
-131 132 264 303 130
-132 133 265 304 131
-133 132 134 266 305
-134 1 133 135 267
-135 2 134 136 268
-136 3 135 137 269
-137 4 136 138 270
-138 5 137 139 271
-139 6 138 140 272
-140 7 139 141 273
-141 8 140 142 274
-142 143 275 9 141
-143 144 276 10 142
-144 11 143 145 277
-145 12 144 146 278
-146 13 145 147 279
-147 14 146 148 280
-148 15 147 149 281
-149 16 148 150 282
-150 17 149 151 283
-151 18 150 152 284
-152 19 151 153 285
-153 154 286 20 152
-154 155 287 21 153
-155 22 154 156 288
-156 23 155 157 289
-157 24 156 158 290
-158 25 157 159 291
-159 26 158 160 292
-160 27 159 161 293
-161 28 160 162 294
-162 29 161 163 295
-163 30 162 164 296
-164 165 297 31 163
-165 166 298 32 164
-166 33 165 167 299
-167 34 166 168 300
-168 35 167 169 301
-169 36 168 170 302
-170 37 169 171 303
-171 38 170 172 304
-172 39 171 173 305
-173 1 40 172 174
-174 2 41 173 175
-175 176 3 42 174
-176 177 4 43 175
-177 44 176 178 5
-178 45 177 179 6
-179 46 178 180 7
-180 47 179 181 8
-181 48 180 182 9
-182 49 181 183 10
-183 11 50 182 184
-184 12 51 183 185
-185 13 52 184 186
-186 187 14 53 185
-187 188 15 54 186
-188 55 187 189 16
-189 56 188 190 17
-190 57 189 191 18
-191 58 190 192 19
-192 59 191 193 20
-193 60 192 194 21
-194 22 61 193 195
-195 23 62 194 196
-196 24 63 195 197
-197 198 25 64 196
-198 199 26 65 197
-199 66 198 200 27
-200 67 199 201 28
-201 68 200 202 29
-202 69 201 203 30
-203 70 202 204 31
-204 71 203 205 32
-205 33 72 204 206
-206 34 73 205 207
-207 35 74 206 208
-208 209 36 75 207
-209 210 37 76 208
-210 77 209 211 38
-211 78 210 212 39
-212 79 211 213 40
-213 80 212 214 41
-214 81 213 215 42
-215 82 214 216 43
-216 44 83 215 217
-217 45 84 216 218
-218 46 85 217 219
-219 220 47 86 218
-220 221 48 87 219
-221 88 220 222 49
-222 89 221 223 50
-223 90 222 224 51
-224 91 223 225 52
-225 92 224 226 53
-226 93 225 227 54
-227 55 94 226 228
-228 56 95 227 229
-229 57 96 228 230
-230 231 58 97 229
-231 232 59 98 230
-232 99 231 233 60
-233 100 232 234 61
-234 101 233 235 62
-235 102 234 236 63
-236 103 235 237 64
-237 104 236 238 65
-238 66 105 237 239
-239 67 106 238 240
-240 68 107 239 241
-241 242 69 108 240
-242 243 70 109 241
-243 110 242 244 71
-244 111 243 245 72
-245 112 244 246 73
-246 113 245 247 74
-247 114 246 248 75
-248 115 247 249 76
-249 77 116 248 250
-250 78 117 249 251
-251 79 118 250 252
-252 253 80 119 251
-253 254 81 120 252
-254 121 253 255 82
-255 122 254 256 83
-256 123 255 257 84
-257 124 256 258 85
-258 125 257 259 86
-259 126 258 260 87
-260 88 127 259 261
-261 89 128 260 262
-262 90 129 261 263
-263 264 91 130 262
-264 265 92 131 263
-265 132 264 266 93
-266 133 265 267 94
-267 134 266 268 95
-268 135 267 269 96
-269 136 268 270 97
-270 137 269 271 98
-271 99 138 270 272
-272 100 139 271 273
-273 101 140 272 274
-274 275 102 141 273
-275 276 103 142 274
-276 143 275 277 104
-277 144 276 278 105
-278 145 277 279 106
-279 146 278 280 107
-280 147 279 281 108
-281 148 280 282 109
-282 110 149 281 283
-283 111 150 282 284
-284 112 151 283 285
-285 286 113 152 284
-286 287 114 153 285
-287 154 286 288 115
-288 155 287 289 116
-289 156 288 290 117
-290 157 289 291 118
-291 158 290 292 119
-292 159 291 293 120
-293 121 160 292 294
-294 122 161 293 295
-295 123 162 294 296
-296 297 124 163 295
-297 298 125 164 296
-298 165 297 299 126
-299 166 298 300 127
-300 167 299 301 128
-301 168 300 302 129
-302 169 301 303 130
-303 170 302 304 131
-304 132 171 303 305
-305 1 133 172 304
0