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