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