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