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