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