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