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