Graph forms
for C4 [ 320, 200 ] =
BGCG(UG(Cmap(320,21){8,4|10}_20);K1;5)
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On this page are computer-accessible forms for the graph C4[ 320, 200 ] =
BGCG(UG(Cmap(320,21){8,4|10}_20);K1;5).
(I) Following is a form readable by MAGMA:
g:=Graph<320|{ {130, 162}, {143, 174}, {146, 176}, {159, 189}, {148, 182}, {156,
185}, {145, 183}, {129, 166}, {153, 190}, {143, 168}, {136, 175}, {137, 163},
{138, 161}, {144, 187}, {135, 170}, {135, 183}, {149, 164}, {129, 179}, {133,
183}, {131, 176}, {145, 164}, {150, 163}, {137, 177}, {132, 189}, {132, 191},
{131, 191}, {151, 171}, {137, 181}, {157, 162}, {152, 216}, {144, 209}, {148,
213}, {133, 198}, {128, 196}, {158, 218}, {142, 202}, {154, 220}, {156, 218},
{139, 197}, {137, 216}, {158, 207}, {145, 195}, {141, 222}, {130, 214}, {153,
207}, {157, 203}, {130, 213}, {147, 203}, {142, 215}, {133, 217}, {151, 203},
{148, 200}, {151, 202}, {152, 197}, {150, 200}, {157, 195}, {133, 228}, {153,
251}, {132, 231}, {159, 252}, {155, 248}, {128, 232}, {128, 235}, {149, 254},
{139, 230}, {141, 226}, {135, 245}, {152, 234}, {141, 248}, {136, 254}, {158,
232}, {147, 229}, {131, 249}, {140, 247}, {148, 232}, {142, 243}, {144, 237},
{142, 241}, {78, 206}, {98, 226}, {101, 229}, {86, 215}, {111, 238}, {43, 169},
{48, 178}, {95, 221}, {48, 179}, {118, 245}, {108, 239}, {38, 162}, {52, 176},
{85, 209}, {83, 212}, {37, 173}, {47, 167}, {95, 215}, {60, 181}, {69, 204},
{74, 192}, {126, 244}, {110, 228}, {107, 224}, {37, 169}, {61, 177}, {51, 191},
{43, 166}, {126, 243}, {66, 207}, {64, 205}, {34, 172}, {70, 200}, {58, 180},
{50, 188}, {47, 161}, {36, 170}, {36, 171}, {38, 169}, {34, 179}, {42, 184},
{124, 238}, {110, 252}, {60, 175}, {126, 237}, {125, 238}, {115, 231}, {35,
180}, {125, 234}, {101, 242}, {91, 194}, {86, 204}, {121, 227}, {46, 181}, {119,
236}, {88, 197}, {124, 225}, {35, 189}, {111, 241}, {76, 211}, {113, 238}, {109,
242}, {96, 192}, {73, 232}, {19, 177}, {80, 242}, {103, 197}, {107, 201}, {74,
233}, {113, 210}, {78, 237}, {3, 167}, {125, 217}, {122, 222}, {94, 250}, {67,
230}, {69, 227}, {14, 169}, {110, 201}, {19, 187}, {75, 227}, {81, 249}, {82,
251}, {118, 223}, {116, 221}, {109, 196}, {25, 178}, {118, 221}, {101, 206},
{106, 193}, {26, 182}, {85, 248}, {9, 167}, {117, 219}, {11, 164}, {66, 237},
{77, 226}, {104, 199}, {69, 245}, {70, 247}, {25, 171}, {116, 198}, {101, 215},
{14, 189}, {111, 220}, {16, 164}, {68, 240}, {66, 246}, {19, 167}, {3, 182},
{21, 163}, {73, 255}, {27, 173}, {90, 236}, {93, 235}, {105, 223}, {17, 166},
{76, 251}, {80, 231}, {10, 178}, {90, 226}, {88, 225}, {116, 206}, {120, 194},
{23, 172}, {124, 199}, {79, 244}, {68, 248}, {119, 203}, {117, 201}, {74, 246},
{24, 165}, {82, 239}, {96, 221}, {28, 162}, {81, 239}, {69, 250}, {10, 202},
{126, 190}, {121, 185}, {108, 172}, {52, 245}, {62, 255}, {41, 235}, {123, 185},
{57, 251}, {106, 168}, {104, 172}, {15, 202}, {58, 255}, {44, 233}, {26, 223},
{18, 212}, {58, 252}, {22, 208}, {20, 210}, {99, 165}, {17, 214}, {114, 181},
{12, 196}, {12, 198}, {57, 243}, {53, 255}, {10, 193}, {120, 179}, {115, 184},
{104, 163}, {58, 246}, {114, 190}, {97, 173}, {39, 233}, {51, 253}, {57, 246},
{9, 217}, {107, 187}, {18, 195}, {6, 212}, {110, 188}, {8, 219}, {125, 174},
{124, 175}, {106, 185}, {2, 214}, {121, 173}, {45, 249}, {18, 198}, {9, 220},
{11, 222}, {4, 210}, {7, 209}, {37, 242}, {50, 229}, {115, 171}, {121, 161}, {7,
222}, {27, 194}, {105, 176}, {23, 205}, {25, 195}, {11, 208}, {56, 227}, {97,
186}, {38, 250}, {53, 233}, {28, 193}, {120, 165}, {61, 224}, {49, 236}, {42,
247}, {5, 219}, {45, 243}, {13, 211}, {97, 191}, {6, 217}, {40, 247}, {63, 223},
{88, 184}, {45, 204}, {64, 161}, {49, 208}, {75, 170}, {85, 180}, {31, 253},
{29, 254}, {35, 192}, {77, 174}, {42, 206}, {49, 213}, {40, 205}, {63, 218},
{84, 177}, {47, 201}, {67, 165}, {90, 188}, {59, 220}, {2, 234}, {3, 234}, {12,
229}, {94, 183}, {13, 231}, {20, 254}, {80, 186}, {84, 190}, {11, 224}, {57,
210}, {17, 250}, {13, 230}, {13, 225}, {32, 204}, {16, 253}, {87, 186}, {8,
230}, {30, 240}, {40, 199}, {65, 174}, {63, 208}, {55, 216}, {4, 244}, {31,
239}, {34, 211}, {54, 199}, {89, 168}, {3, 241}, {88, 170}, {5, 241}, {52, 192},
{46, 218}, {16, 228}, {8, 252}, {82, 166}, {1, 244}, {56, 205}, {30, 235}, {20,
225}, {5, 240}, {79, 186}, {15, 249}, {45, 219}, {26, 236}, {89, 175}, {36,
211}, {65, 182}, {63, 200}, {77, 180}, {44, 214}, {72, 178}, {62, 196}, {56,
194}, {6, 253}, {42, 209}, {24, 228}, {71, 187}, {29, 224}, {60, 193}, {41,
212}, {85, 168}, {43, 213}, {49, 207}, {15, 240}, {71, 184}, {67, 188}, {39,
216}, {7, 263}, {46, 302}, {53, 308}, {1, 259}, {27, 281}, {29, 286}, {47, 300},
{44, 296}, {20, 273}, {22, 275}, {1, 263}, {36, 291}, {46, 297}, {62, 310}, {10,
259}, {54, 317}, {76, 320}, {7, 266}, {56, 309}, {27, 277}, {48, 318}, {40,
294}, {29, 269}, {50, 290}, {30, 270}, {61, 300}, {12, 280}, {48, 292}, {43,
319}, {55, 290}, {61, 299}, {32, 311}, {25, 257}, {18, 267}, {44, 309}, {34,
315}, {2, 280}, {16, 267}, {22, 269}, {6, 282}, {32, 316}, {23, 267}, {4, 281},
{55, 298}, {28, 257}, {4, 282}, {95, 320}, {30, 319}, {21, 311}, {35, 257}, {5,
294}, {33, 258}, {23, 308}, {14, 301}, {9, 301}, {28, 313}, {52, 273}, {33,
260}, {8, 302}, {21, 306}, {54, 273}, {51, 283}, {33, 264}, {38, 271}, {19,
313}, {32, 266}, {33, 269}, {109, 320}, {15, 289}, {51, 285}, {41, 262}, {55,
262}, {59, 265}, {59, 264}, {53, 257}, {60, 265}, {17, 295}, {50, 260}, {37,
275}, {31, 297}, {24, 302}, {21, 290}, {59, 268}, {31, 296}, {22, 289}, {2,
314}, {26, 291}, {54, 271}, {39, 286}, {1, 314}, {62, 261}, {14, 306}, {41,
276}, {24, 295}, {39, 280}, {87, 279}, {98, 290}, {106, 297}, {112, 307}, {108,
303}, {127, 315}, {89, 284}, {114, 311}, {78, 264}, {93, 283}, {75, 268}, {77,
266}, {81, 278}, {95, 280}, {108, 299}, {72, 256}, {74, 258}, {87, 287}, {100,
300}, {91, 274}, {99, 298}, {81, 283}, {111, 292}, {97, 301}, {127, 307}, {113,
317}, {70, 267}, {123, 309}, {71, 264}, {90, 277}, {68, 276}, {87, 263}, {102,
310}, {92, 269}, {96, 305}, {84, 262}, {117, 295}, {92, 270}, {94, 268}, {103,
309}, {64, 277}, {117, 288}, {92, 265}, {100, 305}, {105, 318}, {93, 261}, {114,
298}, {70, 287}, {71, 285}, {118, 300}, {102, 316}, {66, 281}, {122, 289}, {78,
274}, {83, 270}, {99, 318}, {103, 314}, {107, 310}, {96, 318}, {123, 293}, {79,
272}, {98, 317}, {112, 272}, {68, 293}, {119, 278}, {72, 298}, {123, 281}, {80,
306}, {83, 305}, {67, 288}, {91, 312}, {122, 286}, {64, 293}, {65, 292}, {93,
312}, {84, 306}, {76, 299}, {115, 276}, {116, 284}, {82, 315}, {94, 311}, {65,
301}, {79, 288}, {112, 287}, {92, 307}, {72, 312}, {86, 294}, {73, 312}, {99,
274}, {102, 279}, {109, 284}, {112, 259}, {127, 268}, {119, 260}, {98, 278},
{113, 261}, {100, 272}, {73, 316}, {100, 273}, {83, 293}, {75, 316}, {86, 289},
{89, 302}, {104, 287}, {120, 256}, {103, 286}, {105, 272}, {122, 256}, {127,
260}, {102, 283}, {91, 292}, {156, 284}, {153, 282}, {146, 278}, {147, 277},
{149, 275}, {136, 271}, {160, 295}, {143, 263}, {145, 282}, {135, 266}, {136,
261}, {146, 285}, {160, 304}, {134, 279}, {140, 285}, {154, 270}, {149, 256},
{156, 265}, {128, 279}, {132, 275}, {154, 258}, {155, 262}, {159, 258}, {140,
274}, {157, 259}, {139, 276}, {160, 319}, {143, 303}, {144, 304}, {138, 299},
{154, 315}, {141, 303}, {150, 308}, {155, 319}, {134, 288}, {139, 291}, {131,
297}, {155, 305}, {159, 308}, {129, 303}, {151, 313}, {147, 317}, {160, 271},
{150, 294}, {152, 296}, {130, 304}, {138, 313}, {134, 307}, {146, 296}, {134,
314}, {140, 304}, {138, 310}, {158, 291}, {129, 320} }>;
(II) A more general form is to represent the graph as the orbit of {130, 162}
under the group generated by the following permutations:
a: (2, 4, 7, 10)(3, 6, 11, 15)(5, 9, 16, 22)(8, 14, 23, 33)(12, 20, 32, 48)(13,
21, 34, 50)(17, 27, 42, 60)(18, 29, 45, 65)(19, 31, 49, 68)(24, 37, 40, 59)(25,
39, 57, 77)(26, 41, 61, 81)(28, 44, 66, 85)(30, 47, 51, 63)(35, 53, 74, 58)(36,
55, 76, 98)(38, 56, 78, 89)(43, 64, 71, 46)(52, 73, 96, 62)(54, 75, 99, 109)(67,
80, 104, 127)(69, 91, 116, 136)(70, 92, 117, 97)(72, 95, 113, 135)(79, 87, 112,
134)(82, 90, 115, 137)(83, 107, 131, 148)(84, 108, 119, 139)(86, 111, 133,
149)(88, 114, 129, 147)(93, 118)(94, 120, 101, 124)(100, 102, 105, 128)(103,
126, 143, 157)(106, 130, 123, 144)(110, 132, 150, 154)(121, 140, 156, 160)(122,
142, 125, 145)(138, 146, 158, 155)(141, 151, 152, 153)(161, 285, 218, 319)(162,
309, 237, 168)(163, 315, 188, 231)(164, 289, 241, 217)(165, 242, 199, 268)(166,
277, 184, 181)(167, 253, 208, 240)(169, 205, 264, 302)(170, 298, 320, 317)(171,
216, 251, 226)(172, 260, 230, 306)(173, 247, 265, 295)(174, 195, 286, 243)(175,
250, 194, 206)(176, 232, 305, 310)(177, 239, 236, 276)(178, 280, 210, 266)(179,
229, 225, 311)(180, 257, 233, 246)(182, 212, 224, 249)(183, 256, 215, 238)(185,
304)(186, 287, 307, 288)(187, 297, 213, 293)(189, 308, 258, 252)(190, 303, 203,
197)(191, 200, 270, 201)(192, 255)(193, 214, 281, 209)(196, 273, 316, 318)(198,
254, 204, 292)(202, 234, 282, 222)(207, 248, 313, 296)(211, 290)(219, 301, 267,
269)(220, 228, 275, 294)(221, 261, 245, 312)(223, 235, 300, 283)(227, 274, 284,
271)(244, 263, 259, 314)(262, 299, 278, 291)(272, 279) (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, 12, 50, 33, 22, 15, 10)(3, 18, 67, 74, 37, 81, 60, 7)(4, 17, 62, 21,
71, 63, 68, 48)(5, 25, 79, 44, 109, 98, 59, 11)(6, 24, 58, 14, 51, 46, 85,
65)(8, 35, 97, 31, 89, 77, 9, 16)(13, 52, 121, 108, 124, 135, 47, 23)(19, 70,
139, 96, 27, 82, 136, 32)(20, 69, 138, 104, 88, 118, 64, 34)(26, 83, 120, 57,
38, 102, 137, 42)(28, 87, 152, 116, 90, 154, 149, 45)(29, 86, 151, 112, 103, 95,
147, 127)(30, 72, 126, 130, 128, 55, 78, 49)(36, 100, 56, 76, 54, 75, 61,
40)(39, 101, 119, 92, 122, 142, 157, 134)(41, 99, 66, 43, 93, 114, 144, 148)(53,
80, 146, 156, 141, 111, 145, 117)(73, 84, 140, 158, 155, 91, 153, 160)(94, 107,
150, 115, 105, 123, 129, 113)(106, 143, 125, 133, 110, 159, 132, 131)(161, 172,
225, 245)(162, 279, 216, 206, 236, 270, 256, 243)(163, 184, 223, 293, 179, 210,
250, 310)(164, 219, 257, 186, 296, 284, 226, 220)(165, 246, 169, 283, 181, 209,
182, 212)(166, 261, 311, 187, 200, 276, 318, 281)(167, 267, 230, 192, 173, 239,
175, 266)(168, 174, 217, 228, 252, 189, 191, 297)(170, 300, 205, 211, 273, 227,
299, 199)(171, 272, 309, 320, 317, 268, 224, 294)(176, 185, 303, 238, 183, 201,
308, 231)(177, 247, 291, 305, 194, 251, 271, 316)(178, 244, 214, 196, 290, 264,
208, 240)(180, 301, 253, 302)(188, 258, 275, 249, 193, 263, 234, 198)(190, 304,
232, 262, 274, 207, 319, 312)(195, 288, 233, 242, 278, 265, 222, 241)(197, 221,
277, 315, 254, 204, 313, 287)(202, 259, 314, 280, 229, 260, 269, 289)(203, 307,
286, 215)(213, 235, 298, 237)(218, 248, 292, 282, 295, 255, 306, 285)
C4[ 320, 200 ]
320
-1 244 259 314 263
-2 234 214 280 314
-3 167 234 182 241
-4 210 244 281 282
-5 294 240 219 241
-6 253 212 282 217
-7 209 222 266 263
-8 302 219 230 252
-9 220 167 301 217
-10 178 202 193 259
-11 222 224 164 208
-12 198 280 196 229
-13 231 211 225 230
-14 189 169 301 306
-15 289 202 249 240
-16 253 267 228 164
-17 166 214 250 295
-18 198 212 267 195
-19 187 177 167 313
-20 210 254 225 273
-21 311 290 163 306
-22 275 289 269 208
-23 308 267 172 205
-24 165 302 228 295
-25 178 257 171 195
-26 223 236 291 182
-27 277 281 194 173
-28 257 313 193 162
-29 286 254 224 269
-30 319 235 270 240
-31 253 297 239 296
-32 266 311 204 316
-33 264 258 269 260
-34 211 179 172 315
-35 189 180 257 192
-36 211 170 291 171
-37 242 275 169 173
-38 169 271 162 250
-39 286 233 280 216
-40 199 247 205 294
-41 276 212 235 262
-42 209 247 184 206
-43 319 166 169 213
-44 309 233 214 296
-45 243 204 249 219
-46 297 181 302 218
-47 167 201 300 161
-48 178 179 292 318
-49 213 236 207 208
-50 188 290 260 229
-51 253 191 283 285
-52 176 245 192 273
-53 308 233 255 257
-54 199 271 273 317
-55 298 290 216 262
-56 309 194 205 227
-57 210 243 246 251
-58 255 180 246 252
-59 220 264 265 268
-60 265 181 193 175
-61 177 299 300 224
-62 255 310 261 196
-63 200 223 218 208
-64 277 161 205 293
-65 301 182 292 174
-66 246 237 281 207
-67 165 188 288 230
-68 276 248 293 240
-69 245 204 227 250
-70 287 200 267 247
-71 187 264 184 285
-72 298 178 256 312
-73 232 255 312 316
-74 233 246 192 258
-75 268 170 227 316
-76 320 211 299 251
-77 266 180 226 174
-78 264 237 206 274
-79 244 288 272 186
-80 231 242 306 186
-81 278 249 239 283
-82 166 315 239 251
-83 212 270 293 305
-84 177 190 262 306
-85 209 168 180 248
-86 289 204 215 294
-87 287 279 186 263
-88 170 225 184 197
-89 168 302 284 175
-90 188 277 236 226
-91 312 292 194 274
-92 265 269 270 307
-93 235 312 261 283
-94 311 268 183 250
-95 221 320 280 215
-96 221 192 305 318
-97 191 301 173 186
-98 278 290 226 317
-99 165 298 274 318
-100 300 272 305 273
-101 242 215 206 229
-102 310 279 283 316
-103 286 309 314 197
-104 199 287 172 163
-105 176 223 272 318
-106 297 168 193 185
-107 187 310 201 224
-108 299 303 172 239
-109 242 320 196 284
-110 188 201 228 252
-111 220 292 238 241
-112 287 259 272 307
-113 210 238 261 317
-114 298 190 311 181
-115 231 276 171 184
-116 198 221 206 284
-117 288 201 295 219
-118 221 223 245 300
-119 278 203 236 260
-120 165 179 256 194
-121 161 227 173 185
-122 286 222 256 289
-123 309 281 293 185
-124 199 225 238 175
-125 234 238 217 174
-126 243 244 190 237
-127 268 260 315 307
-128 232 235 279 196
-129 166 320 179 303
-130 213 214 304 162
-131 176 297 191 249
-132 231 275 189 191
-133 198 183 217 228
-134 288 279 314 307
-135 266 245 170 183
-136 254 271 261 175
-137 177 181 216 163
-138 299 310 313 161
-139 276 291 197 230
-140 247 304 274 285
-141 222 226 248 303
-142 243 202 215 241
-143 168 303 174 263
-144 187 209 237 304
-145 183 282 195 164
-146 176 278 285 296
-147 277 203 229 317
-148 232 200 213 182
-149 275 254 256 164
-150 308 200 294 163
-151 202 203 313 171
-152 234 216 197 296
-153 190 282 207 251
-154 220 258 270 315
-155 319 248 305 262
-156 265 185 218 284
-157 203 259 162 195
-158 232 291 207 218
-159 308 189 258 252
-160 319 271 304 295
-161 121 47 138 64
-162 157 38 28 130
-163 104 137 150 21
-164 11 145 16 149
-165 99 67 24 120
-166 82 17 129 43
-167 3 47 19 9
-168 143 89 106 85
-169 14 37 38 43
-170 88 36 135 75
-171 25 36 115 151
-172 23 34 104 108
-173 121 37 27 97
-174 77 143 125 65
-175 89 124 136 60
-176 146 105 52 131
-177 137 61 84 19
-178 25 48 72 10
-179 34 48 129 120
-180 77 35 58 85
-181 46 114 60 137
-182 3 26 148 65
-183 133 145 135 94
-184 88 71 115 42
-185 121 123 156 106
-186 79 80 97 87
-187 144 71 19 107
-188 110 67 90 50
-189 132 35 14 159
-190 114 126 84 153
-191 132 51 97 131
-192 35 52 74 96
-193 60 28 106 10
-194 56 91 27 120
-195 145 25 157 18
-196 12 62 128 109
-197 88 103 139 152
-198 12 133 116 18
-199 124 104 40 54
-200 70 148 150 63
-201 110 47 117 107
-202 15 151 10 142
-203 157 147 151 119
-204 45 69 86 32
-205 23 56 40 64
-206 78 101 116 42
-207 66 158 49 153
-208 11 22 49 63
-209 144 7 85 42
-210 57 113 4 20
-211 34 13 36 76
-212 6 83 18 41
-213 49 148 130 43
-214 44 2 17 130
-215 101 95 86 142
-216 55 137 39 152
-217 133 125 6 9
-218 46 156 158 63
-219 45 5 117 8
-220 154 111 59 9
-221 116 95 96 118
-222 11 122 7 141
-223 26 105 63 118
-224 11 61 29 107
-225 88 13 124 20
-226 77 90 141 98
-227 121 56 69 75
-228 110 133 24 16
-229 12 101 147 50
-230 67 13 139 8
-231 132 13 80 115
-232 158 148 73 128
-233 44 39 74 53
-234 2 3 125 152
-235 93 128 30 41
-236 90 26 49 119
-237 66 78 144 126
-238 111 113 124 125
-239 81 82 31 108
-240 68 15 5 30
-241 111 3 5 142
-242 101 80 37 109
-243 45 57 126 142
-244 1 79 4 126
-245 69 135 52 118
-246 66 57 58 74
-247 70 40 140 42
-248 155 68 85 141
-249 45 15 81 131
-250 69 38 17 94
-251 57 82 76 153
-252 110 58 159 8
-253 16 6 51 31
-254 136 149 29 20
-255 58 62 73 53
-256 122 72 149 120
-257 35 25 28 53
-258 33 154 159 74
-259 1 112 157 10
-260 33 50 127 119
-261 113 136 93 62
-262 55 155 84 41
-263 143 1 7 87
-264 33 78 59 71
-265 156 59 92 60
-266 77 135 7 32
-267 23 70 16 18
-268 59 94 127 75
-269 22 33 92 29
-270 154 92 83 30
-271 136 38 160 54
-272 100 79 112 105
-273 100 52 20 54
-274 99 78 91 140
-275 22 132 37 149
-276 68 115 139 41
-277 90 147 27 64
-278 146 81 119 98
-279 134 102 128 87
-280 12 2 39 95
-281 66 123 4 27
-282 145 4 6 153
-283 102 81 93 51
-284 89 156 116 109
-285 146 71 51 140
-286 122 103 39 29
-287 112 70 104 87
-288 67 79 134 117
-289 22 122 15 86
-290 55 50 21 98
-291 36 26 158 139
-292 111 91 48 65
-293 68 123 83 64
-294 5 40 150 86
-295 24 17 160 117
-296 44 146 31 152
-297 46 106 31 131
-298 55 99 114 72
-299 61 138 108 76
-300 100 47 61 118
-301 14 9 97 65
-302 89 24 46 8
-303 143 129 108 141
-304 144 160 140 130
-305 100 155 83 96
-306 14 80 84 21
-307 112 134 92 127
-308 23 159 150 53
-309 44 56 123 103
-310 102 138 62 107
-311 114 94 21 32
-312 91 93 72 73
-313 28 138 19 151
-314 1 2 134 103
-315 154 34 82 127
-316 102 73 75 32
-317 113 147 54 98
-318 99 48 105 96
-319 155 160 30 43
-320 95 129 76 109
0