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