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