Graph forms
for C4 [ 288, 229 ] =
BGCG(AMC(16,3,[0.1:1.2]);K1;{2,3})
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On this page are computer-accessible forms for the graph C4[ 288, 229 ] =
BGCG(AMC(16,3,[0.1:1.2]);K1;{2,3}).
(I) Following is a form readable by MAGMA:
g:=Graph<288|{ {135, 150}, {128, 147}, {140, 153}, {139, 147}, {137, 149}, {133,
164}, {129, 163}, {136, 171}, {132, 162}, {128, 167}, {142, 169}, {129, 169},
{141, 160}, {138, 164}, {139, 187}, {130, 182}, {138, 189}, {144, 167}, {130,
184}, {135, 187}, {144, 172}, {137, 182}, {128, 193}, {133, 199}, {139, 201},
{133, 194}, {138, 205}, {135, 207}, {139, 195}, {142, 197}, {131, 205}, {140,
194}, {141, 221}, {138, 216}, {130, 209}, {134, 210}, {141, 211}, {143, 239},
{134, 226}, {134, 224}, {144, 246}, {131, 235}, {136, 226}, {132, 239}, {141,
224}, {133, 245}, {128, 242}, {136, 251}, {142, 253}, {130, 246}, {131, 253},
{132, 251}, {26, 154}, {73, 200}, {117, 244}, {91, 218}, {22, 148}, {114, 240},
{64, 194}, {87, 212}, {107, 232}, {100, 231}, {22, 146}, {106, 238}, {33, 165},
{83, 215}, {18, 151}, {111, 234}, {98, 231}, {30, 152}, {61, 187}, {24, 159},
{110, 233}, {66, 197}, {63, 184}, {53, 178}, {78, 201}, {94, 217}, {21, 157},
{125, 245}, {107, 227}, {65, 201}, {96, 232}, {16, 154}, {120, 242}, {71, 205},
{78, 196}, {94, 212}, {38, 173}, {102, 237}, {72, 195}, {23, 155}, {111, 227},
{33, 173}, {97, 237}, {47, 162}, {117, 248}, {108, 225}, {103, 234}, {59, 182},
{53, 184}, {86, 219}, {36, 170}, {116, 250}, {77, 195}, {84, 218}, {37, 170},
{9, 153}, {116, 228}, {77, 221}, {84, 196}, {90, 202}, {73, 216}, {95, 206},
{96, 241}, {7, 149}, {121, 235}, {49, 163}, {34, 176}, {14, 156}, {13, 159},
{13, 158}, {122, 233}, {117, 230}, {50, 161}, {3, 151}, {103, 243}, {38, 178},
{8, 156}, {55, 162}, {70, 211}, {80, 197}, {100, 241}, {10, 157}, {104, 255},
{59, 163}, {77, 215}, {106, 240}, {15, 148}, {63, 164}, {14, 146}, {104, 244},
{102, 250}, {100, 248}, {68, 216}, {43, 183}, {44, 177}, {123, 230}, {64, 221},
{60, 161}, {85, 200}, {47, 177}, {122, 228}, {57, 167}, {55, 169}, {1, 158},
{107, 203}, {20, 181}, {126, 223}, {65, 224}, {48, 145}, {21, 180}, {93, 252},
{9, 171}, {29, 191}, {93, 255}, {90, 249}, {125, 222}, {2, 166}, {106, 206},
{55, 147}, {27, 191}, {11, 175}, {83, 247}, {21, 176}, {112, 213}, {68, 226},
{7, 160}, {113, 214}, {80, 247}, {18, 186}, {124, 213}, {5, 175}, {123, 209},
{29, 183}, {19, 185}, {85, 254}, {109, 198}, {97, 202}, {127, 211}, {1, 172},
{66, 239}, {17, 188}, {56, 150}, {124, 210}, {83, 252}, {92, 243}, {110, 222},
{111, 223}, {15, 190}, {113, 192}, {109, 220}, {31, 174}, {79, 254}, {75, 249},
{125, 207}, {27, 168}, {72, 251}, {93, 238}, {44, 152}, {120, 204}, {104, 220},
{8, 189}, {108, 217}, {12, 185}, {64, 246}, {17, 166}, {118, 193}, {82, 229},
{91, 236}, {11, 179}, {46, 150}, {5, 188}, {126, 199}, {105, 208}, {34, 155},
{17, 168}, {92, 229}, {20, 174}, {124, 198}, {108, 214}, {8, 179}, {112, 203},
{96, 219}, {6, 186}, {65, 253}, {45, 145}, {3, 190}, {125, 192}, {92, 225},
{110, 208}, {114, 204}, {10, 181}, {26, 165}, {11, 180}, {83, 236}, {20, 212},
{114, 178}, {101, 165}, {42, 234}, {26, 218}, {84, 148}, {9, 200}, {112, 177},
{58, 251}, {51, 242}, {32, 225}, {24, 217}, {30, 220}, {122, 184}, {43, 233},
{95, 157}, {7, 196}, {39, 228}, {37, 230}, {15, 202}, {107, 174}, {46, 235},
{28, 217}, {94, 155}, {99, 165}, {2, 197}, {118, 177}, {58, 253}, {32, 231},
{15, 200}, {88, 159}, {18, 218}, {58, 242}, {19, 219}, {85, 157}, {92, 148},
{31, 214}, {87, 158}, {100, 173}, {3, 201}, {60, 246}, {8, 195}, {87, 156}, {89,
146}, {28, 208}, {126, 178}, {57, 245}, {10, 196}, {45, 227}, {33, 238}, {101,
170}, {81, 158}, {85, 154}, {88, 151}, {11, 219}, {35, 243}, {32, 240}, {57,
235}, {29, 206}, {59, 239}, {71, 147}, {36, 241}, {118, 163}, {97, 180}, {34,
244}, {119, 161}, {105, 191}, {99, 181}, {49, 230}, {51, 228}, {75, 156}, {78,
153}, {12, 212}, {122, 162}, {49, 233}, {34, 250}, {22, 206}, {105, 176}, {115,
170}, {47, 245}, {109, 183}, {12, 215}, {108, 183}, {36, 255}, {35, 248}, {76,
151}, {98, 185}, {4, 216}, {113, 173}, {38, 250}, {73, 149}, {23, 202}, {45,
240}, {72, 149}, {98, 191}, {9, 215}, {127, 161}, {42, 244}, {2, 221}, {63,
224}, {61, 226}, {39, 248}, {70, 153}, {19, 243}, {113, 145}, {43, 203}, {75,
171}, {48, 209}, {82, 179}, {14, 236}, {46, 204}, {49, 210}, {68, 167}, {54,
213}, {79, 172}, {89, 186}, {90, 185}, {88, 188}, {25, 252}, {37, 192}, {119,
145}, {22, 241}, {67, 164}, {43, 204}, {71, 160}, {54, 222}, {78, 166}, {86,
190}, {16, 249}, {56, 209}, {33, 203}, {124, 150}, {57, 211}, {20, 255}, {52,
223}, {91, 176}, {69, 169}, {71, 171}, {76, 160}, {17, 252}, {65, 172}, {88,
181}, {89, 180}, {60, 210}, {80, 190}, {41, 198}, {14, 254}, {70, 182}, {74,
186}, {60, 205}, {99, 146}, {31, 237}, {106, 152}, {39, 213}, {4, 247}, {53,
198}, {21, 225}, {52, 192}, {51, 199}, {42, 222}, {40, 220}, {24, 236}, {16,
229}, {58, 207}, {52, 193}, {73, 188}, {91, 174}, {27, 237}, {110, 152}, {30,
232}, {94, 168}, {29, 234}, {40, 223}, {74, 189}, {41, 208}, {66, 187}, {44,
214}, {96, 154}, {70, 189}, {84, 175}, {2, 254}, {62, 194}, {59, 199}, {90,
166}, {4, 249}, {50, 207}, {19, 238}, {10, 247}, {98, 159}, {25, 231}, {101,
155}, {63, 193}, {27, 229}, {81, 175}, {86, 168}, {23, 232}, {28, 227}, {76,
179}, {5, 260}, {13, 270}, {1, 261}, {5, 256}, {6, 269}, {1, 271}, {7, 278},
{24, 266}, {25, 267}, {6, 275}, {16, 261}, {4, 274}, {18, 267}, {23, 270}, {3,
280}, {28, 263}, {13, 278}, {6, 283}, {26, 263}, {31, 257}, {12, 275}, {40,
264}, {54, 279}, {37, 262}, {51, 272}, {62, 282}, {32, 262}, {39, 257}, {50,
277}, {62, 281}, {35, 266}, {56, 273}, {38, 268}, {61, 279}, {35, 264}, {56,
276}, {48, 286}, {52, 282}, {47, 287}, {46, 284}, {40, 284}, {54, 258}, {42,
286}, {41, 285}, {41, 287}, {53, 259}, {25, 288}, {48, 265}, {44, 277}, {36,
285}, {62, 258}, {45, 272}, {30, 288}, {61, 259}, {55, 265}, {50, 268}, {86,
278}, {82, 275}, {76, 271}, {99, 288}, {69, 256}, {75, 269}, {67, 260}, {103,
288}, {77, 261}, {81, 280}, {74, 256}, {81, 283}, {66, 271}, {67, 269}, {67,
273}, {93, 270}, {80, 260}, {95, 267}, {95, 266}, {69, 274}, {64, 280}, {69,
281}, {72, 276}, {74, 278}, {79, 275}, {82, 270}, {87, 267}, {89, 261}, {79,
274}, {68, 283}, {102, 262}, {105, 264}, {121, 282}, {101, 257}, {97, 263},
{120, 287}, {116, 284}, {118, 286}, {116, 285}, {121, 272}, {117, 287}, {119,
284}, {102, 266}, {123, 279}, {115, 286}, {123, 277}, {127, 273}, {104, 263},
{114, 257}, {119, 259}, {121, 268}, {112, 262}, {126, 265}, {103, 285}, {120,
258}, {111, 277}, {115, 264}, {109, 272}, {127, 258}, {115, 268}, {129, 259},
{140, 271}, {137, 269}, {136, 256}, {134, 265}, {137, 281}, {131, 279}, {144,
260}, {129, 276}, {142, 283}, {143, 280}, {140, 276}, {143, 274}, {132, 282},
{143, 273}, {135, 281} }>;
(II) A more general form is to represent the graph as the orbit of {135, 150}
under the group generated by the following permutations:
a: (1, 2)(4, 8)(5, 7)(6, 9)(10, 11)(13, 17)(14, 16)(15, 18)(19, 20)(22, 26)(23,
25)(24, 27)(28, 29)(31, 35)(32, 34)(33, 36)(37, 38)(40, 44)(41, 43)(42, 45)(46,
47)(49, 53)(50, 52)(51, 54)(55, 56)(58, 62)(59, 61)(60, 63)(64, 65)(67, 71)(68,
70)(69, 72)(73, 74)(76, 80)(77, 79)(78, 81)(82, 83)(85, 89)(86, 88)(87, 90)(91,
92)(94, 98)(95, 97)(96, 99)(100, 101)(103, 107)(104, 106)(105, 108)(109,
110)(112, 116)(113, 115)(114, 117)(118, 119)(121, 125)(122, 124)(123, 126)(127,
128)(130, 134)(131, 133)(132, 135)(136, 137)(139, 143)(140, 142)(141, 144)(145,
286)(146, 154)(147, 273)(148, 218)(149, 256)(150, 162)(151, 190)(152, 220)(153,
283)(155, 231)(156, 249)(157, 180)(158, 166)(159, 168)(160, 260)(161, 193)(163,
259)(164, 205)(165, 241)(167, 211)(169, 276)(170, 173)(171, 269)(172, 221)(174,
243)(175, 196)(176, 225)(177, 284)(178, 230)(179, 247)(181, 219)(182, 226)(183,
208)(184, 210)(185, 212)(186, 200)(187, 239)(188, 278)(189, 216)(191, 217)(192,
268)(194, 253)(195, 274)(197, 271)(198, 233)(199, 279)(201, 280)(202, 267)(203,
285)(204, 287)(206, 263)(207, 282)(209, 265)(213, 228)(214, 264)(215, 275)(222,
272)(223, 277)(224, 246)(227, 234)(229, 236)(232, 288)(235, 245)(237, 266)(238,
255)(240, 244)(242, 258)(248, 257)(250, 262)(251, 281)(252, 270)(254, 261) (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, 10)(2, 14)(3, 18)(4, 16)(5, 11)(6, 15)(7, 13)(8, 17)(9, 12)(19, 136)(20,
140)(21, 144)(22, 142)(23, 137)(24, 141)(25, 139)(26, 143)(27, 138)(28, 127)(29,
131)(30, 135)(31, 133)(32, 128)(33, 132)(34, 130)(35, 134)(36, 129)(37, 118)(38,
122)(39, 126)(40, 124)(41, 119)(42, 123)(43, 121)(44, 125)(45, 120)(46, 109)(47,
113)(48, 117)(49, 115)(50, 110)(51, 114)(52, 112)(53, 116)(54, 111)(55, 100)(56,
104)(57, 108)(58, 106)(59, 101)(60, 105)(61, 103)(62, 107)(63, 102)(64, 91)(65,
95)(66, 99)(67, 97)(68, 92)(69, 96)(70, 94)(71, 98)(72, 93)(73, 82)(74, 86)(75,
90)(76, 88)(77, 83)(78, 87)(79, 85)(80, 89)(81, 84)(145, 287)(146, 197)(147,
231)(148, 283)(149, 270)(150, 220)(152, 207)(153, 212)(154, 274)(155, 182)(156,
166)(157, 172)(158, 196)(159, 160)(161, 208)(162, 173)(163, 170)(164, 237)(165,
239)(167, 225)(168, 189)(169, 241)(171, 185)(174, 194)(176, 246)(177, 192)(178,
228)(179, 188)(180, 260)(181, 271)(183, 235)(184, 250)(186, 190)(187, 288)(191,
205)(193, 262)(195, 252)(198, 284)(199, 257)(200, 275)(201, 267)(202, 269)(203,
282)(204, 272)(206, 253)(209, 244)(210, 264)(211, 217)(213, 223)(214, 245)(216,
229)(218, 280)(219, 256)(221, 236)(222, 277)(224, 266)(226, 243)(227, 258)(230,
286)(232, 281)(233, 268)(234, 279)(238, 251)(240, 242)(247, 261)(248, 265)(255,
276)(259, 285)(263, 273)
c: (2, 8, 3, 6)(4, 9, 7, 5)(10, 136)(11, 143, 12, 141)(13, 144, 16, 140)(14,
139, 18, 142)(15, 137, 17, 138)(19, 127)(20, 134, 21, 132)(22, 135, 25, 131)(23,
130, 27, 133)(24, 128, 26, 129)(28, 118)(29, 125, 30, 123)(31, 126, 34, 122)(32,
121, 36, 124)(33, 119, 35, 120)(37, 109)(38, 116, 39, 114)(40, 117, 43, 113)(41,
112, 45, 115)(42, 110, 44, 111)(46, 100)(47, 107, 48, 105)(49, 108, 52, 104)(50,
103, 54, 106)(51, 101, 53, 102)(55, 91)(56, 98, 57, 96)(58, 99, 61, 95)(59, 94,
63, 97)(60, 92, 62, 93)(64, 82)(65, 89, 66, 87)(67, 90, 70, 86)(68, 85, 72,
88)(69, 83, 71, 84)(74, 80, 75, 78)(76, 81, 79, 77)(145, 264, 287, 203)(146,
187, 267, 253)(147, 218, 169, 236)(148, 281, 252, 205)(149, 188, 216, 200)(150,
231, 235, 241)(151, 283, 254, 195)(152, 277, 234, 222)(153, 278, 260, 249)(154,
276, 159, 167)(155, 184, 237, 199)(156, 201, 186, 197)(157, 251, 181, 226)(158,
172, 261, 271)(160, 175, 274, 215)(161, 243, 258, 238)(162, 174, 265, 176)(163,
217, 193, 263)(164, 202, 182, 168)(165, 259, 266, 242)(166, 189, 190, 269)(170,
198, 262, 272)(171, 196, 256, 247)(173, 284, 248, 204)(177, 227, 286, 208)(178,
250, 228, 257)(179, 280, 275, 221)(180, 239, 212, 224)(183, 192, 220, 230)(185,
211, 219, 273)(191, 245, 232, 209)(194, 270, 246, 229)(206, 207, 288, 279)(210,
225, 282, 255)(213, 240, 268, 285)(214, 223, 244, 233)
C4[ 288, 229 ]
288
-1 158 172 271 261
-2 166 221 254 197
-3 190 201 280 151
-4 247 216 249 274
-5 188 256 260 175
-6 275 269 283 186
-7 278 149 160 196
-8 156 189 179 195
-9 200 171 215 153
-10 157 181 247 196
-11 179 180 175 219
-12 275 212 215 185
-13 278 158 159 270
-14 254 156 146 236
-15 200 190 202 148
-16 154 249 261 229
-17 166 188 168 252
-18 267 151 218 186
-19 243 238 185 219
-20 255 212 181 174
-21 176 157 180 225
-22 146 148 206 241
-23 155 232 202 270
-24 266 159 236 217
-25 231 288 267 252
-26 154 165 218 263
-27 168 191 237 229
-28 227 217 208 263
-29 234 191 183 206
-30 220 232 288 152
-31 257 214 237 174
-32 231 225 240 262
-33 165 203 238 173
-34 176 155 244 250
-35 264 243 266 248
-36 255 170 241 285
-37 170 192 262 230
-38 178 268 173 250
-39 213 257 248 228
-40 220 264 223 284
-41 198 287 208 285
-42 286 222 244 234
-43 233 203 204 183
-44 177 277 214 152
-45 145 227 272 240
-46 235 204 150 284
-47 177 287 245 162
-48 209 286 265 145
-49 210 233 163 230
-50 277 268 161 207
-51 242 199 228 272
-52 223 192 193 282
-53 198 178 259 184
-54 222 213 279 258
-55 265 147 169 162
-56 209 276 150 273
-57 167 211 245 235
-58 242 253 207 251
-59 199 182 239 163
-60 210 246 161 205
-61 187 279 226 259
-62 258 281 194 282
-63 224 193 184 164
-64 221 246 280 194
-65 253 201 224 172
-66 187 271 239 197
-67 269 260 273 164
-68 167 226 216 283
-69 256 169 281 274
-70 189 211 182 153
-71 147 160 171 205
-72 276 149 195 251
-73 188 200 149 216
-74 189 256 278 186
-75 156 269 171 249
-76 179 160 271 151
-77 221 215 195 261
-78 166 201 196 153
-79 275 254 172 274
-80 190 247 260 197
-81 158 280 283 175
-82 275 179 270 229
-83 236 247 215 252
-84 148 196 218 175
-85 154 254 200 157
-86 168 190 278 219
-87 156 212 267 158
-88 188 159 181 151
-89 146 180 261 186
-90 166 202 249 185
-91 176 236 174 218
-92 243 148 225 229
-93 255 270 238 252
-94 155 168 212 217
-95 266 157 267 206
-96 154 232 219 241
-97 180 202 237 263
-98 231 191 159 185
-99 165 288 146 181
-100 231 248 173 241
-101 165 155 257 170
-102 266 237 250 262
-103 243 288 234 285
-104 220 244 255 263
-105 176 264 191 208
-106 238 206 152 240
-107 232 203 227 174
-108 214 225 183 217
-109 198 220 183 272
-110 222 233 152 208
-111 277 223 234 227
-112 177 213 203 262
-113 145 192 214 173
-114 178 257 204 240
-115 264 286 268 170
-116 228 250 284 285
-117 287 244 248 230
-118 286 177 193 163
-119 145 259 161 284
-120 242 287 258 204
-121 235 268 282 272
-122 233 162 184 228
-123 209 277 279 230
-124 198 210 213 150
-125 222 245 192 207
-126 199 265 178 223
-127 211 258 161 273
-128 242 167 147 193
-129 276 169 259 163
-130 209 246 182 184
-131 253 235 279 205
-132 282 162 239 251
-133 199 245 194 164
-134 210 265 224 226
-135 187 281 150 207
-136 256 171 226 251
-137 269 149 182 281
-138 189 205 216 164
-139 187 201 147 195
-140 276 194 271 153
-141 221 211 224 160
-142 253 169 283 197
-143 280 239 273 274
-144 167 246 172 260
-145 45 113 48 119
-146 22 99 89 14
-147 55 71 128 139
-148 22 15 92 84
-149 137 72 7 73
-150 56 46 124 135
-151 88 3 18 76
-152 44 110 106 30
-153 78 70 140 9
-154 26 16 85 96
-155 23 34 101 94
-156 14 8 75 87
-157 95 85 10 21
-158 1 13 81 87
-159 88 13 24 98
-160 71 7 141 76
-161 60 50 127 119
-162 55 132 122 47
-163 59 49 118 129
-164 67 133 138 63
-165 33 99 101 26
-166 78 2 90 17
-167 144 57 68 128
-168 27 17 94 86
-169 55 69 129 142
-170 101 36 37 115
-171 136 71 9 75
-172 1 144 79 65
-173 33 100 113 38
-174 91 107 20 31
-175 11 81 5 84
-176 34 91 105 21
-177 44 112 47 118
-178 114 38 126 53
-179 11 82 8 76
-180 11 89 97 21
-181 88 99 20 10
-182 59 70 137 130
-183 29 108 43 109
-184 122 63 53 130
-185 12 90 19 98
-186 89 6 18 74
-187 66 135 61 139
-188 88 5 17 73
-189 70 138 8 74
-190 3 80 15 86
-191 27 105 29 98
-192 113 37 125 52
-193 128 52 63 118
-194 133 62 140 64
-195 77 72 139 8
-196 78 7 84 10
-197 66 2 80 142
-198 124 41 53 109
-199 133 59 126 51
-200 15 73 85 9
-201 78 3 139 65
-202 23 90 15 97
-203 33 112 107 43
-204 46 114 43 120
-205 60 71 138 131
-206 22 29 95 106
-207 58 135 125 50
-208 110 28 105 41
-209 56 123 48 130
-210 134 124 49 60
-211 57 70 127 141
-212 12 94 20 87
-213 112 124 39 54
-214 44 113 31 108
-215 77 12 83 9
-216 68 4 138 73
-217 24 28 94 108
-218 91 26 18 84
-219 11 19 96 86
-220 104 40 30 109
-221 77 2 64 141
-222 110 125 42 54
-223 111 126 40 52
-224 134 63 141 65
-225 92 108 21 32
-226 68 134 136 61
-227 45 111 28 107
-228 122 39 116 51
-229 92 16 27 82
-230 123 37 49 117
-231 100 25 32 98
-232 23 30 96 107
-233 110 122 49 43
-234 111 103 29 42
-235 121 46 57 131
-236 24 14 91 83
-237 102 27 31 97
-238 33 93 106 19
-239 66 132 143 59
-240 45 114 106 32
-241 22 100 36 96
-242 58 51 128 120
-243 35 92 103 19
-244 34 104 117 42
-245 133 57 47 125
-246 144 60 64 130
-247 80 4 83 10
-248 100 35 39 117
-249 90 4 16 75
-250 34 102 38 116
-251 132 58 136 72
-252 25 93 17 83
-253 58 65 131 142
-254 2 79 14 85
-255 36 93 104 20
-256 69 136 5 74
-257 101 114 39 31
-258 127 62 54 120
-259 61 129 53 119
-260 67 144 80 5
-261 77 1 89 16
-262 112 102 37 32
-263 26 104 28 97
-264 35 115 105 40
-265 55 134 48 126
-266 24 35 102 95
-267 25 18 95 87
-268 121 38 115 50
-269 67 137 6 75
-270 23 13 82 93
-271 66 1 140 76
-272 121 45 51 109
-273 143 56 67 127
-274 143 79 69 4
-275 12 79 82 6
-276 56 72 129 140
-277 44 111 123 50
-278 13 7 74 86
-279 123 61 54 131
-280 143 3 81 64
-281 69 135 137 62
-282 121 132 62 52
-283 68 81 6 142
-284 46 116 40 119
-285 36 103 116 41
-286 48 115 118 42
-287 47 117 41 120
-288 99 25 103 30
0