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