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