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