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