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