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