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