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