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