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