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