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