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