Graph forms
for C4 [ 256, 133 ] =
BGCG(KE_16(1,7,2,11,1);K2;{3,4,5,6,9,10})
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 256, 133 ] =
BGCG(KE_16(1,7,2,11,1);K2;{3,4,5,6,9,10}).
(I) Following is a form readable by MAGMA:
g:=Graph<256|{ {128, 167}, {128, 198}, {128, 230}, {128, 249}, {42, 170}, {127,
255}, {56, 184}, {54, 182}, {47, 175}, {45, 172}, {55, 182}, {75, 202}, {87,
214}, {3, 129}, {38, 164}, {69, 199}, {26, 153}, {51, 176}, {28, 152}, {101,
225}, {89, 221}, {52, 176}, {64, 197}, {109, 232}, {86, 211}, {10, 140}, {102,
224}, {13, 139}, {76, 202}, {21, 146}, {105, 238}, {68, 195}, {71, 192}, {20,
156}, {113, 249}, {108, 228}, {72, 192}, {1, 136}, {96, 233}, {91, 210}, {47,
166}, {40, 161}, {14, 135}, {23, 157}, {66, 200}, {81, 219}, {1, 138}, {125,
246}, {98, 233}, {81, 218}, {24, 148}, {59, 183}, {27, 150}, {120, 245}, {102,
235}, {45, 160}, {35, 174}, {65, 204}, {73, 196}, {80, 221}, {85, 216}, {17,
159}, {126, 240}, {121, 247}, {118, 248}, {107, 229}, {97, 239}, {66, 204}, {3,
147}, {125, 237}, {110, 254}, {58, 171}, {98, 243}, {94, 207}, {61, 172}, {7,
149}, {53, 167}, {26, 136}, {16, 130}, {8, 155}, {126, 237}, {94, 205}, {85,
198}, {2, 150}, {126, 234}, {41, 189}, {29, 137}, {10, 158}, {11, 158}, {127,
234}, {114, 231}, {36, 177}, {25, 143}, {118, 224}, {113, 231}, {52, 162}, {4,
147}, {53, 162}, {11, 156}, {8, 159}, {36, 188}, {122, 226}, {48, 168}, {68,
220}, {28, 133}, {127, 230}, {94, 199}, {69, 220}, {16, 138}, {32, 187}, {121,
226}, {33, 186}, {69, 222}, {24, 132}, {43, 183}, {22, 139}, {111, 242}, {104,
245}, {95, 194}, {28, 129}, {86, 203}, {73, 215}, {114, 236}, {113, 239}, {105,
247}, {100, 250}, {93, 195}, {79, 209}, {17, 142}, {115, 236}, {99, 252}, {43,
180}, {42, 181}, {72, 215}, {78, 209}, {94, 254}, {117, 213}, {82, 243}, {6,
164}, {113, 211}, {56, 154}, {16, 178}, {57, 154}, {97, 194}, {91, 248}, {83,
240}, {25, 189}, {123, 223}, {116, 208}, {114, 214}, {45, 137}, {82, 246}, {20,
177}, {50, 151}, {29, 184}, {64, 229}, {42, 140}, {127, 217}, {124, 218}, {99,
197}, {55, 144}, {76, 228}, {124, 212}, {82, 250}, {15, 166}, {96, 201}, {46,
135}, {7, 173}, {98, 200}, {59, 145}, {9, 163}, {6, 173}, {46, 133}, {84, 255},
{5, 169}, {31, 179}, {21, 185}, {79, 227}, {87, 251}, {13, 160}, {105, 196},
{102, 203}, {95, 242}, {60, 145}, {46, 131}, {35, 142}, {24, 181}, {6, 169},
{55, 152}, {10, 165}, {26, 170}, {101, 213}, {18, 163}, {12, 190}, {124, 206},
{48, 130}, {39, 149}, {29, 175}, {67, 241}, {83, 225}, {13, 190}, {125, 206},
{91, 232}, {40, 155}, {66, 241}, {31, 171}, {117, 193}, {100, 208}, {73, 253},
{6, 179}, {56, 141}, {44, 153}, {39, 146}, {34, 151}, {12, 185}, {78, 251}, {19,
165}, {121, 207}, {115, 197}, {111, 217}, {8, 191}, {118, 193}, {51, 132}, {39,
144}, {22, 161}, {74, 253}, {4, 188}, {108, 212}, {7, 191}, {77, 244}, {112,
201}, {107, 210}, {87, 238}, {39, 157}, {97, 219}, {55, 141}, {64, 250}, {78,
244}, {1, 186}, {101, 222}, {52, 143}, {88, 227}, {7, 187}, {89, 229}, {58,
134}, {40, 148}, {15, 178}, {112, 205}, {101, 216}, {59, 134}, {26, 167}, {19,
174}, {62, 131}, {11, 180}, {96, 223}, {67, 252}, {84, 235}, {4, 196}, {90,
154}, {32, 224}, {49, 240}, {57, 248}, {54, 247}, {67, 130}, {74, 139}, {77,
140}, {11, 201}, {119, 181}, {23, 213}, {22, 212}, {21, 215}, {106, 169}, {123,
184}, {118, 181}, {41, 237}, {85, 145}, {2, 199}, {102, 163}, {58, 255}, {12,
201}, {65, 135}, {109, 171}, {78, 136}, {25, 222}, {37, 226}, {17, 217}, {34,
234}, {61, 245}, {65, 137}, {2, 203}, {89, 144}, {87, 158}, {1, 203}, {111,
165}, {104, 162}, {45, 231}, {38, 236}, {32, 234}, {27, 209}, {9, 195}, {49,
250}, {92, 151}, {88, 147}, {5, 200}, {43, 230}, {17, 220}, {16, 222}, {99,
173}, {91, 149}, {56, 246}, {30, 208}, {44, 227}, {120, 183}, {84, 155}, {8,
216}, {30, 206}, {21, 197}, {62, 238}, {68, 148}, {75, 155}, {9, 216}, {41,
248}, {33, 240}, {62, 239}, {71, 150}, {80, 129}, {77, 159}, {46, 253}, {108,
191}, {107, 184}, {61, 238}, {72, 156}, {117, 161}, {42, 255}, {116, 161}, {30,
200}, {125, 171}, {122, 172}, {100, 178}, {34, 244}, {63, 233}, {75, 157}, {62,
233}, {112, 167}, {105, 190}, {93, 138}, {66, 149}, {67, 148}, {74, 157}, {5,
221}, {107, 179}, {97, 185}, {57, 225}, {51, 235}, {35, 251}, {29, 196}, {50,
235}, {49, 232}, {80, 137}, {22, 204}, {92, 134}, {50, 232}, {63, 229}, {86,
140}, {58, 225}, {116, 175}, {59, 224}, {88, 131}, {14, 210}, {115, 175}, {106,
182}, {96, 188}, {28, 192}, {81, 141}, {15, 210}, {117, 168}, {90, 135}, {36,
249}, {5, 219}, {92, 130}, {47, 241}, {40, 246}, {31, 193}, {4, 219}, {111,
176}, {100, 187}, {33, 193}, {121, 153}, {119, 151}, {80, 177}, {120, 153},
{106, 139}, {30, 253}, {92, 191}, {53, 214}, {116, 144}, {34, 199}, {49, 212},
{35, 198}, {60, 217}, {63, 218}, {70, 163}, {18, 244}, {110, 136}, {84, 178},
{18, 245}, {109, 138}, {89, 190}, {50, 213}, {64, 168}, {110, 134}, {103, 143},
{70, 174}, {72, 160}, {54, 223}, {123, 146}, {57, 208}, {71, 174}, {32, 202},
{114, 152}, {110, 132}, {93, 183}, {41, 195}, {38, 204}, {79, 165}, {15, 228},
{95, 180}, {36, 207}, {23, 252}, {18, 249}, {27, 247}, {44, 192}, {70, 170},
{74, 166}, {73, 164}, {93, 176}, {31, 241}, {124, 146}, {99, 141}, {88, 182},
{12, 227}, {60, 211}, {69, 170}, {85, 186}, {2, 242}, {115, 131}, {61, 205},
{77, 189}, {3, 242}, {112, 129}, {103, 150}, {60, 205}, {19, 226}, {76, 189},
{81, 160}, {14, 252}, {109, 159}, {90, 168}, {37, 215}, {70, 180}, {37, 214},
{95, 172}, {90, 169}, {10, 254}, {104, 156}, {54, 194}, {86, 162}, {47, 218},
{51, 198}, {83, 166}, {76, 186}, {120, 142}, {108, 154}, {103, 145}, {82, 164},
{9, 254}, {53, 194}, {3, 251}, {119, 143}, {37, 221}, {20, 236}, {65, 185}, {75,
179}, {38, 223}, {119, 142}, {103, 158}, {23, 237}, {126, 132}, {98, 152}, {48,
202}, {43, 209}, {52, 207}, {104, 147}, {71, 188}, {19, 239}, {27, 231}, {24,
228}, {14, 243}, {33, 220}, {13, 243}, {123, 133}, {48, 206}, {79, 177}, {83,
173}, {25, 230}, {122, 133}, {44, 211}, {68, 187}, {20, 256}, {63, 256}, {106,
256}, {122, 256} }>;
(II) A more general form is to represent the graph as the orbit of {128, 167}
under the group generated by the following permutations:
a: (2, 26)(3, 44)(4, 12)(5, 13)(6, 22)(7, 40)(10, 18)(11, 36)(14, 30)(15,
48)(19, 61)(21, 29)(23, 57)(24, 32)(27, 53)(31, 49)(34, 42)(35, 60)(37, 45)(39,
56)(43, 52)(47, 64)(50, 58)(51, 59)(65, 73)(66, 82)(67, 100)(70, 94)(71,
112)(72, 80)(74, 90)(75, 108)(78, 86)(79, 104)(81, 89)(83, 117)(84, 92)(87,
113)(91, 125)(95, 121)(97, 105)(99, 116)(102, 110)(103, 128)(107, 124)(111,
120)(118, 126)(119, 127)(129, 192)(130, 178)(132, 224)(134, 235)(135, 253)(136,
203)(137, 215)(139, 169)(140, 244)(141, 144)(142, 217)(143, 230)(145, 198)(146,
184)(147, 227)(148, 187)(149, 246)(150, 167)(151, 255)(153, 242)(154, 157)(155,
191)(156, 177)(158, 249)(160, 221)(161, 173)(162, 209)(163, 254)(164, 204)(165,
245)(166, 168)(170, 199)(171, 232)(172, 226)(174, 205)(175, 197)(176, 183)(179,
212)(180, 207)(181, 234)(185, 196)(188, 201)(190, 219)(193, 240)(194, 247)(200,
243)(202, 228)(206, 210)(208, 252)(211, 251)(213, 225)(214, 231)(218, 229)(237,
248)(238, 239)(241, 250) (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: (2, 78)(4, 80)(6, 66)(8, 68)(10, 70)(12, 72)(14, 74)(16, 76)(18, 94)(20,
96)(22, 82)(24, 84)(26, 86)(28, 88)(30, 90)(32, 92)(33, 109)(35, 111)(37,
97)(39, 99)(41, 101)(43, 103)(45, 105)(47, 107)(50, 126)(52, 128)(54, 114)(56,
116)(58, 118)(60, 120)(62, 122)(64, 124)(65, 73)(67, 75)(69, 77)(71, 79)(81,
89)(83, 91)(85, 93)(87, 95)(98, 106)(100, 108)(102, 110)(104, 112)(113,
121)(115, 123)(117, 125)(119, 127)(129, 147)(130, 202)(131, 133)(132, 235)(134,
224)(135, 253)(136, 203)(137, 196)(138, 186)(139, 243)(140, 170)(141, 144)(142,
217)(143, 230)(145, 183)(146, 197)(148, 155)(149, 173)(150, 209)(151, 234)(152,
182)(153, 211)(154, 208)(156, 201)(157, 252)(158, 180)(159, 220)(160, 190)(161,
246)(162, 167)(163, 254)(164, 204)(165, 174)(166, 210)(168, 206)(169, 200)(171,
193)(172, 238)(175, 184)(176, 198)(177, 188)(178, 228)(179, 241)(181, 255)(185,
215)(187, 191)(189, 222)(192, 227)(194, 214)(195, 216)(199, 244)(205, 245)(207,
249)(212, 250)(213, 237)(218, 229)(219, 221)(223, 236)(225, 248)(226, 239)(231,
247)(232, 240)(233, 256)(242, 251)
c: (1, 2, 95, 97, 5, 6, 83, 101, 9, 10, 87, 105, 13, 14, 91, 109)(3, 54, 81, 90,
7, 58, 85, 94, 11, 62, 89, 82, 15, 50, 93, 86)(4, 106, 99, 57, 8, 110, 103, 61,
12, 98, 107, 49, 16, 102, 111, 53)(17, 26, 71, 122, 21, 30, 75, 126, 25, 18, 79,
114, 29, 22, 67, 118)(19, 37, 73, 74, 23, 41, 77, 78, 27, 45, 65, 66, 31, 33,
69, 70)(20, 115, 116, 40, 24, 119, 120, 44, 28, 123, 124, 48, 32, 127, 128,
36)(34, 43, 113, 80, 38, 47, 117, 68, 42, 35, 121, 72, 46, 39, 125, 76)(51, 52,
104, 88, 55, 56, 108, 92, 59, 60, 112, 96, 63, 64, 100, 84)(129, 223, 218, 168,
187, 255, 198, 207, 156, 131, 144, 246, 228, 151, 183, 211)(130, 224, 217, 167,
188, 256, 197, 208, 155, 132, 143, 245, 227, 152, 184, 212)(133, 146, 206, 202,
234, 230, 249, 177, 236, 175, 161, 148, 181, 142, 153, 192)(134, 145, 205, 201,
233, 229, 250, 178, 235, 176, 162, 147, 182, 141, 154, 191)(135, 149, 171, 186,
199, 180, 239, 221, 164, 166, 213, 195, 140, 251, 247, 160)(136, 150, 172, 185,
200, 179, 240, 222, 163, 165, 214, 196, 139, 252, 248, 159)(137, 204, 241, 193,
220, 170, 174, 226, 215, 253, 157, 237, 189, 244, 209, 231)(138, 203, 242, 194,
219, 169, 173, 225, 216, 254, 158, 238, 190, 243, 210, 232)
d: (2, 16, 26, 33)(3, 48, 53, 31)(4, 30, 37, 6)(7, 36, 57, 19)(8, 18, 41,
10)(11, 40, 61, 23)(12, 22, 45, 14)(15, 44, 49, 27)(17, 34, 25, 42)(20, 56, 62,
39)(21, 38, 29, 46)(24, 60, 50, 43)(28, 64, 54, 47)(32, 52, 58, 35)(51, 59)(55,
63)(66, 80, 90, 97)(67, 112, 117, 95)(68, 94, 101, 70)(71, 100, 121, 83)(72, 82,
105, 74)(75, 104, 125, 87)(76, 86, 109, 78)(79, 108, 113, 91)(81, 98, 89,
106)(84, 120, 126, 103)(85, 102, 93, 110)(88, 124, 114, 107)(92, 128, 118,
111)(96, 116, 122, 99)(115, 123)(119, 127)(129, 168, 194, 241)(130, 167, 193,
242)(131, 146, 236, 184)(132, 145, 235, 183)(133, 197, 223, 175)(134, 198, 224,
176)(135, 185, 204, 137)(136, 186, 203, 138)(139, 160, 243, 190)(140, 159, 244,
189)(141, 233, 144, 256)(142, 234, 143, 255)(147, 206, 214, 179)(148, 205, 213,
180)(149, 177, 154, 239)(150, 178, 153, 240)(151, 230, 181, 217)(152, 229, 182,
218)(155, 245, 237, 158)(156, 246, 238, 157)(161, 172, 252, 201)(162, 171, 251,
202)(163, 195, 254, 216)(164, 196, 253, 215)(165, 191, 249, 248)(166, 192, 250,
247)(169, 219, 200, 221)(170, 220, 199, 222)(173, 188, 208, 226)(174, 187, 207,
225)(209, 228, 211, 232)(210, 227, 212, 231)
C4[ 256, 133 ]
256
-1 136 203 138 186
-2 242 199 203 150
-3 242 147 129 251
-4 188 147 196 219
-5 221 200 169 219
-6 179 169 173 164
-7 187 191 149 173
-8 155 191 159 216
-9 254 216 195 163
-10 165 254 158 140
-11 156 201 158 180
-12 190 201 227 185
-13 243 190 160 139
-14 210 243 135 252
-15 166 210 178 228
-16 178 222 138 130
-17 220 159 217 142
-18 244 245 249 163
-19 165 226 239 174
-20 177 156 256 236
-21 146 215 185 197
-22 212 204 139 161
-23 157 213 237 252
-24 132 148 181 228
-25 143 189 222 230
-26 167 136 170 153
-27 209 231 247 150
-28 133 192 129 152
-29 137 184 196 175
-30 253 200 206 208
-31 179 171 193 241
-32 187 234 202 224
-33 220 193 240 186
-34 199 244 234 151
-35 198 174 251 142
-36 177 188 249 207
-37 221 214 215 226
-38 223 236 204 164
-39 144 146 157 149
-40 155 246 148 161
-41 189 237 248 195
-42 255 170 181 140
-43 209 180 183 230
-44 211 192 227 153
-45 231 137 160 172
-46 253 133 135 131
-47 166 218 175 241
-48 168 202 206 130
-49 232 212 250 240
-50 232 213 235 151
-51 132 176 198 235
-52 143 176 162 207
-53 167 214 194 162
-54 223 247 182 194
-55 144 182 141 152
-56 154 246 184 141
-57 154 225 248 208
-58 134 255 225 171
-59 134 145 224 183
-60 145 211 205 217
-61 245 172 205 238
-62 233 238 239 131
-63 233 256 218 229
-64 168 250 229 197
-65 135 137 204 185
-66 200 149 204 241
-67 148 130 241 252
-68 187 220 148 195
-69 220 199 222 170
-70 180 170 163 174
-71 188 192 150 174
-72 156 192 160 215
-73 253 215 196 164
-74 253 166 157 139
-75 155 157 179 202
-76 189 202 228 186
-77 189 244 159 140
-78 209 244 136 251
-79 165 209 177 227
-80 177 221 137 129
-81 160 141 218 219
-82 243 246 250 164
-83 166 225 173 240
-84 155 178 255 235
-85 198 145 216 186
-86 211 203 140 162
-87 158 214 238 251
-88 147 182 227 131
-89 144 221 190 229
-90 154 135 168 169
-91 210 232 149 248
-92 134 191 151 130
-93 176 138 183 195
-94 199 254 205 207
-95 242 180 172 194
-96 188 233 201 223
-97 194 239 185 219
-98 243 200 233 152
-99 173 141 197 252
-100 187 178 250 208
-101 222 213 225 216
-102 224 235 203 163
-103 143 145 158 150
-104 156 245 147 162
-105 190 247 238 196
-106 256 169 182 139
-107 210 179 184 229
-108 154 212 191 228
-109 232 159 138 171
-110 132 254 134 136
-111 165 176 242 217
-112 167 201 205 129
-113 231 211 249 239
-114 231 214 236 152
-115 236 131 175 197
-116 144 161 175 208
-117 168 213 193 161
-118 224 181 193 248
-119 143 181 151 142
-120 245 183 142 153
-121 247 226 207 153
-122 133 256 226 172
-123 133 146 223 184
-124 146 212 206 218
-125 246 171 237 206
-126 132 234 237 240
-127 255 234 217 230
-128 198 167 249 230
-129 112 3 80 28
-130 67 48 92 16
-131 88 46 115 62
-132 110 24 126 51
-133 122 46 123 28
-134 110 58 59 92
-135 46 90 14 65
-136 110 1 78 26
-137 45 80 29 65
-138 1 16 93 109
-139 22 13 106 74
-140 77 42 86 10
-141 55 99 56 81
-142 35 17 119 120
-143 25 103 52 119
-144 55 89 39 116
-145 59 103 60 85
-146 123 124 39 21
-147 88 3 4 104
-148 67 24 68 40
-149 66 91 39 7
-150 2 103 27 71
-151 34 92 50 119
-152 55 114 28 98
-153 44 121 26 120
-154 56 57 90 108
-155 40 84 8 75
-156 11 104 72 20
-157 23 39 74 75
-158 11 103 10 87
-159 77 17 8 109
-160 45 13 81 72
-161 22 116 40 117
-162 104 52 53 86
-163 102 70 18 9
-164 38 82 6 73
-165 111 79 19 10
-166 47 15 83 74
-167 112 26 128 53
-168 90 48 117 64
-169 90 5 6 106
-170 69 26 70 42
-171 58 125 31 109
-172 45 122 61 95
-173 99 6 83 7
-174 35 70 71 19
-175 47 115 116 29
-176 111 93 51 52
-177 79 36 80 20
-178 100 15 16 84
-179 6 107 31 75
-180 11 70 95 43
-181 24 118 42 119
-182 55 88 106 54
-183 59 93 43 120
-184 56 123 29 107
-185 12 97 21 65
-186 33 1 85 76
-187 100 68 7 32
-188 36 4 71 96
-189 77 25 41 76
-190 12 89 13 105
-191 92 7 8 108
-192 44 71 28 72
-193 33 117 118 31
-194 95 53 97 54
-195 68 93 41 9
-196 4 105 29 73
-197 99 115 64 21
-198 35 51 128 85
-199 34 2 69 94
-200 66 5 30 98
-201 11 12 112 96
-202 48 75 32 76
-203 1 2 102 86
-204 22 66 38 65
-205 112 60 61 94
-206 124 48 125 30
-207 121 36 94 52
-208 100 57 116 30
-209 78 79 27 43
-210 14 91 15 107
-211 44 113 60 86
-212 22 124 49 108
-213 23 101 50 117
-214 37 114 53 87
-215 37 72 73 21
-216 101 8 85 9
-217 111 60 17 127
-218 47 124 81 63
-219 4 81 5 97
-220 33 68 69 17
-221 89 80 37 5
-222 101 25 69 16
-223 123 38 96 54
-224 102 59 118 32
-225 57 101 58 83
-226 121 122 37 19
-227 44 88 12 79
-228 24 15 108 76
-229 89 63 107 64
-230 25 127 128 43
-231 45 113 114 27
-232 91 49 50 109
-233 62 63 96 98
-234 34 126 127 32
-235 102 50 51 84
-236 114 38 115 20
-237 23 125 126 41
-238 61 105 62 87
-239 113 62 19 97
-240 33 49 126 83
-241 66 67 47 31
-242 111 2 3 95
-243 13 14 82 98
-244 77 34 78 18
-245 104 61 18 120
-246 56 125 82 40
-247 121 27 105 54
-248 57 91 41 118
-249 36 113 18 128
-250 100 49 82 64
-251 78 35 3 87
-252 99 23 67 14
-253 46 73 30 74
-254 110 94 9 10
-255 58 127 84 42
-256 122 106 63 20
0