Graph forms
for C4 [ 256, 39 ] = PL(BC_64({0,32},{1,15})
[Home] [Table] [Glossary]
[Families]
On this page are computer-accessible forms for the graph C4[ 256, 39 ] =
PL(BC_64({0,32},{1,15}).
(I) Following is a form readable by MAGMA:
g:=Graph<256|{ {100, 109}, {100, 110}, {115, 121}, {114, 121}, {99, 110}, {178,
191}, {99, 109}, {177, 191}, {163, 186}, {163, 185}, {164, 185}, {164, 186},
{75, 107}, {76, 108}, {88, 120}, {85, 116}, {89, 120}, {86, 116}, {19, 48}, {10,
46}, {20, 48}, {11, 47}, {10, 47}, {11, 46}, {86, 115}, {85, 115}, {75, 108},
{76, 107}, {68, 111}, {67, 111}, {146, 190}, {145, 189}, {89, 117}, {88, 117},
{26, 52}, {27, 53}, {26, 53}, {146, 189}, {145, 190}, {27, 52}, {8, 58}, {87,
101}, {8, 59}, {67, 112}, {86, 101}, {68, 112}, {3, 59}, {31, 39}, {30, 38},
{22, 46}, {21, 45}, {4, 60}, {131, 187}, {132, 188}, {30, 39}, {31, 38}, {20,
47}, {22, 45}, {21, 46}, {19, 47}, {5, 59}, {86, 104}, {3, 60}, {5, 58}, {4,
59}, {87, 104}, {131, 188}, {132, 187}, {33, 97}, {34, 98}, {17, 80}, {43, 106},
{12, 78}, {157, 223}, {156, 222}, {154, 216}, {43, 105}, {18, 80}, {12, 79},
{157, 222}, {156, 223}, {155, 216}, {34, 97}, {33, 98}, {53, 113}, {166, 226},
{165, 225}, {161, 229}, {54, 114}, {44, 105}, {160, 229}, {9, 79}, {44, 106},
{9, 78}, {166, 225}, {165, 226}, {143, 200}, {54, 113}, {53, 114}, {28, 84},
{183, 255}, {182, 254}, {160, 232}, {143, 199}, {28, 85}, {183, 254}, {182,
255}, {161, 232}, {25, 85}, {25, 84}, {13, 67}, {155, 213}, {57, 119}, {56,
118}, {13, 66}, {160, 239}, {154, 213}, {57, 118}, {56, 119}, {54, 102}, {160,
240}, {55, 103}, {130, 210}, {131, 211}, {54, 103}, {184, 233}, {147, 194}, {55,
102}, {130, 211}, {131, 210}, {16, 66}, {184, 234}, {170, 248}, {147, 193}, {16,
67}, {171, 248}, {157, 201}, {158, 202}, {24, 77}, {148, 193}, {24, 78}, {148,
194}, {141, 219}, {140, 218}, {140, 219}, {158, 201}, {157, 202}, {144, 199},
{141, 218}, {144, 200}, {2, 91}, {23, 78}, {1, 91}, {169, 243}, {168, 242},
{149, 207}, {148, 206}, {29, 71}, {23, 77}, {29, 70}, {169, 242}, {168, 243},
{149, 206}, {148, 207}, {6, 90}, {7, 91}, {1, 92}, {183, 234}, {18, 79}, {7,
90}, {6, 91}, {2, 92}, {183, 233}, {171, 245}, {17, 79}, {170, 245}, {35, 66},
{155, 250}, {133, 228}, {35, 65}, {155, 249}, {134, 228}, {29, 121}, {180, 208},
{30, 122}, {36, 65}, {181, 208}, {156, 249}, {134, 227}, {32, 70}, {156, 250},
{36, 66}, {128, 230}, {129, 231}, {133, 227}, {29, 122}, {32, 71}, {30, 121},
{128, 231}, {129, 230}, {175, 198}, {151, 253}, {175, 197}, {150, 253}, {14,
98}, {15, 99}, {14, 99}, {15, 98}, {128, 237}, {128, 238}, {159, 240}, {159,
239}, {180, 196}, {179, 195}, {172, 220}, {173, 220}, {177, 192}, {163, 209},
{178, 192}, {152, 235}, {162, 209}, {152, 236}, {173, 217}, {172, 217}, {176,
197}, {162, 212}, {176, 198}, {163, 212}, {180, 195}, {179, 196}, {137, 241},
{181, 205}, {136, 241}, {180, 205}, {4, 126}, {4, 127}, {151, 236}, {136, 244},
{151, 235}, {139, 247}, {138, 246}, {137, 244}, {139, 246}, {138, 247}, {1,
127}, {1, 126}, {18, 146}, {75, 203}, {74, 202}, {63, 191}, {62, 190}, {19,
147}, {87, 215}, {88, 216}, {123, 251}, {124, 252}, {18, 147}, {75, 202}, {74,
203}, {63, 190}, {62, 191}, {19, 146}, {64, 194}, {65, 195}, {64, 195}, {65,
194}, {21, 145}, {89, 221}, {90, 222}, {8, 141}, {31, 154}, {21, 144}, {16,
149}, {8, 142}, {35, 165}, {34, 164}, {31, 153}, {16, 150}, {34, 165}, {35,
164}, {89, 222}, {90, 221}, {123, 252}, {124, 251}, {9, 129}, {49, 185}, {24,
144}, {10, 130}, {7, 142}, {48, 185}, {24, 145}, {7, 141}, {9, 130}, {10, 129},
{95, 212}, {48, 188}, {95, 211}, {49, 188}, {100, 234}, {87, 216}, {88, 215},
{100, 235}, {73, 217}, {74, 218}, {25, 136}, {64, 209}, {127, 238}, {26, 136},
{64, 210}, {127, 237}, {73, 218}, {74, 217}, {15, 150}, {15, 149}, {92, 198},
{93, 199}, {92, 199}, {93, 198}, {2, 158}, {82, 206}, {81, 205}, {3, 159}, {124,
224}, {2, 159}, {26, 135}, {3, 158}, {125, 224}, {25, 135}, {94, 192}, {81,
206}, {82, 205}, {95, 192}, {36, 132}, {77, 237}, {97, 193}, {125, 221}, {36,
133}, {76, 237}, {96, 193}, {124, 221}, {17, 179}, {17, 178}, {33, 133}, {96,
196}, {33, 132}, {97, 196}, {20, 178}, {23, 177}, {22, 176}, {20, 179}, {23,
176}, {22, 177}, {5, 173}, {68, 236}, {6, 174}, {11, 162}, {69, 236}, {11, 161},
{5, 174}, {6, 173}, {84, 255}, {69, 233}, {83, 255}, {122, 214}, {123, 215},
{12, 161}, {68, 233}, {122, 215}, {123, 214}, {12, 162}, {82, 226}, {83, 227},
{69, 244}, {83, 226}, {82, 227}, {71, 246}, {125, 204}, {70, 244}, {73, 251},
{72, 250}, {71, 245}, {126, 204}, {27, 168}, {73, 250}, {72, 251}, {96, 211},
{28, 168}, {96, 212}, {70, 243}, {93, 232}, {126, 203}, {69, 243}, {94, 232},
{125, 203}, {13, 181}, {14, 182}, {32, 153}, {94, 231}, {32, 154}, {93, 231},
{13, 182}, {28, 167}, {14, 181}, {27, 167}, {76, 240}, {72, 245}, {77, 240},
{72, 246}, {104, 169}, {44, 238}, {45, 239}, {104, 170}, {44, 239}, {45, 238},
{106, 174}, {107, 175}, {106, 175}, {107, 174}, {110, 166}, {111, 167}, {52,
253}, {110, 167}, {111, 166}, {52, 254}, {114, 184}, {115, 184}, {51, 254},
{103, 170}, {37, 235}, {51, 253}, {103, 169}, {37, 234}, {39, 247}, {41, 249},
{40, 248}, {40, 249}, {51, 225}, {50, 225}, {120, 171}, {37, 241}, {40, 252},
{38, 242}, {120, 172}, {41, 252}, {50, 228}, {37, 242}, {51, 228}, {38, 241},
{61, 229}, {62, 230}, {57, 224}, {58, 224}, {61, 230}, {62, 229}, {119, 172},
{119, 171}, {39, 248}, {40, 247}, {49, 208}, {55, 214}, {43, 201}, {55, 213},
{50, 208}, {95, 189}, {108, 142}, {42, 201}, {94, 189}, {108, 143}, {58, 223},
{42, 204}, {57, 223}, {105, 143}, {43, 204}, {105, 142}, {113, 153}, {113, 152},
{80, 186}, {81, 187}, {109, 135}, {80, 187}, {81, 186}, {109, 134}, {101, 137},
{102, 138}, {116, 152}, {56, 213}, {63, 210}, {116, 153}, {56, 214}, {63, 209},
{101, 138}, {102, 137}, {42, 219}, {41, 219}, {60, 200}, {41, 220}, {61, 200},
{42, 220}, {112, 134}, {112, 135}, {61, 197}, {60, 197}, {117, 140}, {118, 140},
{50, 207}, {118, 139}, {49, 207}, {117, 139}, {83, 256}, {84, 256}, {150, 256},
{151, 256} }>;
(II) A more general form is to represent the graph as the orbit of {100, 109}
under the group generated by the following permutations:
a: (1, 2)(3, 4)(5, 8)(6, 7)(9, 12)(10, 11)(13, 16)(14, 15)(17, 18)(19, 20)(21,
22)(23, 24)(25, 28)(26, 27)(29, 32)(30, 31)(33, 34)(35, 36)(101, 104)(102,
103)(105, 106)(107, 108)(109, 110)(111, 112)(113, 114)(115, 116)(117, 120)(118,
119)(121, 153)(122, 154)(123, 155)(124, 156)(125, 157)(126, 158)(127, 159)(128,
160)(129, 161)(130, 162)(131, 163)(132, 164)(133, 165)(134, 166)(135, 167)(136,
168)(137, 169)(138, 170)(139, 171)(140, 172)(141, 173)(142, 174)(143, 175)(144,
176)(145, 177)(146, 178)(147, 179)(148, 180)(149, 181)(150, 182)(151, 183)(152,
184)(185, 188)(186, 187)(189, 192)(190, 191)(193, 196)(194, 195)(197, 200)(198,
199)(201, 204)(202, 203)(205, 206)(207, 208)(209, 210)(211, 212)(213, 214)(215,
216)(217, 218)(219, 220)(221, 222)(223, 224)(225, 228)(226, 227)(229, 230)(231,
232)(233, 236)(234, 235)(237, 240)(238, 239)(241, 242)(243, 244)(245, 246)(247,
248)(249, 252)(250, 251)(253, 254)(255, 256) (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, 4)(5, 239)(6, 238)(7, 237)(8, 240)(9, 117)(10, 120)(11, 119)(12, 118)(13,
235)(14, 234)(15, 233)(16, 236)(17, 247)(18, 246)(19, 245)(20, 248)(21, 217)(22,
220)(23, 219)(24, 218)(25, 227)(26, 226)(27, 225)(28, 228)(29, 193)(30, 196)(31,
195)(32, 194)(33, 115)(34, 114)(35, 113)(36, 116)(37, 181)(38, 180)(39, 179)(40,
178)(41, 177)(42, 176)(43, 175)(44, 174)(45, 173)(46, 172)(47, 171)(48, 170)(49,
169)(50, 168)(51, 167)(52, 166)(53, 165)(54, 164)(55, 163)(56, 162)(57, 161)(58,
160)(59, 159)(60, 158)(61, 157)(62, 156)(63, 155)(64, 154)(65, 153)(66, 152)(67,
151)(68, 150)(69, 149)(70, 148)(71, 147)(72, 146)(73, 145)(74, 144)(75, 143)(76,
142)(77, 141)(78, 140)(79, 139)(80, 138)(81, 137)(82, 136)(83, 135)(84, 134)(85,
133)(86, 132)(87, 131)(88, 130)(89, 129)(90, 128)(91, 127)(92, 126)(93, 125)(94,
124)(95, 123)(96, 122)(97, 121)(98, 184)(99, 183)(100, 182)(101, 187)(102,
186)(103, 185)(104, 188)(105, 107)(109, 255)(110, 254)(111, 253)(112, 256)(189,
251)(190, 250)(191, 249)(192, 252)(197, 201)(198, 204)(199, 203)(200, 202)(205,
241)(206, 244)(207, 243)(208, 242)(209, 213)(210, 216)(211, 215)(212, 214)(221,
231)(222, 230)(223, 229)(224, 232)
c: (2, 4)(5, 202)(6, 203)(7, 204)(8, 201)(9, 192)(10, 189)(11, 190)(12, 191)(13,
226)(14, 227)(15, 228)(16, 225)(18, 20)(22, 24)(25, 234)(26, 235)(27, 236)(28,
233)(29, 104)(30, 101)(31, 102)(32, 103)(34, 36)(37, 136)(38, 137)(39, 138)(40,
139)(41, 140)(42, 141)(43, 142)(44, 143)(45, 144)(46, 145)(47, 146)(48, 147)(49,
148)(50, 149)(51, 150)(52, 151)(53, 152)(54, 153)(55, 154)(56, 155)(57, 156)(58,
157)(59, 158)(60, 159)(61, 160)(62, 161)(63, 162)(64, 163)(65, 164)(66, 165)(67,
166)(68, 167)(69, 168)(70, 169)(71, 170)(72, 171)(73, 172)(74, 173)(75, 174)(76,
175)(77, 176)(78, 177)(79, 178)(80, 179)(81, 180)(82, 181)(83, 182)(84, 183)(85,
184)(86, 121)(87, 122)(88, 123)(89, 124)(90, 125)(91, 126)(92, 127)(93, 128)(94,
129)(95, 130)(96, 131)(97, 132)(98, 133)(99, 134)(100, 135)(106, 108)(110,
112)(114, 116)(117, 252)(118, 249)(119, 250)(120, 251)(185, 194)(186, 195)(187,
196)(188, 193)(197, 240)(198, 237)(199, 238)(200, 239)(206, 208)(210, 212)(214,
216)(218, 220)(222, 224)(230, 232)(242, 244)(246, 248)(254, 256)
d: (1, 5, 219, 251, 213, 101, 243, 235, 255, 225, 33, 195, 19, 9, 229, 199, 107,
201, 221, 119, 247, 29, 113, 25, 111, 15, 205, 185, 211, 191, 21, 237, 3, 7,
217, 249, 215, 103, 241, 233, 253, 227, 35, 193, 17, 11, 231, 197, 105, 203,
223, 117, 245, 31, 115, 27, 109, 13, 207, 187, 209, 189, 23, 239)(2, 6, 220,
252, 214, 102, 244, 236, 256, 226, 34, 196, 20, 10, 230, 200, 108, 202, 222,
120, 248, 30, 114, 26, 112, 16, 206, 186, 212, 192, 22, 238, 4, 8, 218, 250,
216, 104, 242, 234, 254, 228, 36, 194, 18, 12, 232, 198, 106, 204, 224, 118,
246, 32, 116, 28, 110, 14, 208, 188, 210, 190, 24, 240)(37, 183, 51, 133, 65,
147, 79, 161, 93, 175, 43, 125, 57, 139, 71, 153, 85, 167, 99, 181, 49, 131, 63,
145, 77, 159, 91, 173, 41, 123, 55, 137, 69, 151, 83, 165, 97, 179, 47, 129, 61,
143, 75, 157, 89, 171, 39, 121, 53, 135, 67, 149, 81, 163, 95, 177, 45, 127, 59,
141, 73, 155, 87, 169)(38, 184, 52, 134, 66, 148, 80, 162, 94, 176, 44, 126, 58,
140, 72, 154, 86, 168, 100, 182, 50, 132, 64, 146, 78, 160, 92, 174, 42, 124,
56, 138, 70, 152, 84, 166, 98, 180, 48, 130, 62, 144, 76, 158, 90, 172, 40, 122,
54, 136, 68, 150, 82, 164, 96, 178, 46, 128, 60, 142, 74, 156, 88, 170)
C4[ 256, 39 ]
256
-1 91 92 126 127
-2 91 92 158 159
-3 59 158 60 159
-4 59 60 126 127
-5 58 59 173 174
-6 90 91 173 174
-7 90 91 141 142
-8 58 59 141 142
-9 78 79 129 130
-10 46 47 129 130
-11 46 47 161 162
-12 78 79 161 162
-13 66 67 181 182
-14 99 181 182 98
-15 99 149 150 98
-16 66 67 149 150
-17 79 178 80 179
-18 79 80 146 147
-19 47 146 48 147
-20 178 47 179 48
-21 45 144 46 145
-22 176 45 177 46
-23 77 176 78 177
-24 77 78 144 145
-25 135 136 84 85
-26 135 136 52 53
-27 167 168 52 53
-28 167 168 84 85
-29 121 122 70 71
-30 121 122 38 39
-31 154 38 39 153
-32 154 70 71 153
-33 132 133 97 98
-34 165 97 98 164
-35 66 165 65 164
-36 66 132 133 65
-37 242 234 235 241
-38 242 30 31 241
-39 247 248 30 31
-40 247 248 249 252
-41 220 249 219 252
-42 220 201 204 219
-43 201 105 204 106
-44 105 106 238 239
-45 22 238 239 21
-46 11 22 10 21
-47 11 19 20 10
-48 188 19 20 185
-49 188 185 207 208
-50 225 228 207 208
-51 253 254 225 228
-52 253 254 26 27
-53 113 26 114 27
-54 102 113 103 114
-55 102 103 213 214
-56 213 214 118 119
-57 223 224 118 119
-58 223 224 5 8
-59 3 4 5 8
-60 200 3 4 197
-61 200 229 197 230
-62 190 191 229 230
-63 209 210 190 191
-64 209 210 194 195
-65 35 36 194 195
-66 13 35 36 16
-67 111 13 112 16
-68 111 112 233 236
-69 243 233 244 236
-70 243 244 29 32
-71 245 246 29 32
-72 245 246 250 251
-73 217 250 218 251
-74 202 203 217 218
-75 202 203 107 108
-76 237 107 108 240
-77 23 24 237 240
-78 12 23 24 9
-79 12 17 18 9
-80 187 17 18 186
-81 187 205 206 186
-82 226 205 227 206
-83 255 256 226 227
-84 255 25 256 28
-85 25 115 28 116
-86 101 104 115 116
-87 101 104 215 216
-88 215 117 216 120
-89 221 222 117 120
-90 221 222 6 7
-91 1 2 6 7
-92 198 1 199 2
-93 198 231 199 232
-94 231 232 189 192
-95 189 211 212 192
-96 211 212 193 196
-97 33 34 193 196
-98 33 34 14 15
-99 110 14 15 109
-100 110 234 235 109
-101 137 138 86 87
-102 55 137 138 54
-103 55 169 170 54
-104 169 170 86 87
-105 44 143 43 142
-106 44 174 43 175
-107 75 174 76 175
-108 143 75 76 142
-109 99 100 134 135
-110 99 100 166 167
-111 67 166 68 167
-112 67 68 134 135
-113 53 152 54 153
-114 121 184 53 54
-115 121 85 184 86
-116 85 86 152 153
-117 88 89 139 140
-118 56 57 139 140
-119 56 57 171 172
-120 88 89 171 172
-121 114 115 29 30
-122 214 215 29 30
-123 214 215 251 252
-124 221 224 251 252
-125 221 224 203 204
-126 1 4 203 204
-127 1 4 237 238
-128 231 237 238 230
-129 231 9 10 230
-130 210 211 9 10
-131 187 188 210 211
-132 33 187 188 36
-133 33 36 227 228
-134 112 227 228 109
-135 112 25 26 109
-136 244 25 26 241
-137 101 244 102 241
-138 101 102 246 247
-139 246 247 117 118
-140 117 118 218 219
-141 7 8 218 219
-142 105 7 8 108
-143 199 200 105 108
-144 199 24 200 21
-145 24 189 190 21
-146 189 190 18 19
-147 193 18 194 19
-148 193 194 206 207
-149 15 16 206 207
-150 253 256 15 16
-151 253 256 235 236
-152 113 235 236 116
-153 113 116 31 32
-154 213 216 31 32
-155 213 216 249 250
-156 222 223 249 250
-157 222 201 223 202
-158 2 3 201 202
-159 2 3 239 240
-160 232 239 229 240
-161 11 12 232 229
-162 11 209 12 212
-163 209 212 185 186
-164 34 35 185 186
-165 34 35 225 226
-166 110 111 225 226
-167 110 111 27 28
-168 242 243 27 28
-169 242 243 103 104
-170 245 103 104 248
-171 245 248 119 120
-172 220 217 119 120
-173 220 5 6 217
-174 5 6 106 107
-175 198 106 107 197
-176 22 198 23 197
-177 22 23 191 192
-178 191 192 17 20
-179 17 195 20 196
-180 205 195 196 208
-181 13 14 205 208
-182 254 13 255 14
-183 254 233 255 234
-184 233 234 114 115
-185 48 49 163 164
-186 80 81 163 164
-187 132 80 81 131
-188 132 48 49 131
-189 145 146 94 95
-190 145 146 62 63
-191 177 178 62 63
-192 177 178 94 95
-193 147 148 96 97
-194 147 148 64 65
-195 179 180 64 65
-196 179 180 96 97
-197 176 60 61 175
-198 176 92 93 175
-199 143 144 92 93
-200 143 144 60 61
-201 157 158 42 43
-202 157 158 74 75
-203 125 126 74 75
-204 125 126 42 43
-205 81 180 82 181
-206 81 82 148 149
-207 49 148 50 149
-208 180 49 181 50
-209 63 162 64 163
-210 63 64 130 131
-211 95 96 130 131
-212 95 96 162 163
-213 55 154 56 155
-214 55 56 122 123
-215 88 122 123 87
-216 88 154 155 87
-217 73 172 74 173
-218 73 74 140 141
-219 41 140 42 141
-220 172 41 173 42
-221 89 90 124 125
-222 89 90 156 157
-223 57 156 58 157
-224 57 58 124 125
-225 165 166 50 51
-226 165 166 82 83
-227 133 134 82 83
-228 133 134 50 51
-229 61 160 62 161
-230 61 62 128 129
-231 93 94 128 129
-232 93 94 160 161
-233 68 69 183 184
-234 100 37 183 184
-235 100 37 151 152
-236 68 69 151 152
-237 77 127 128 76
-238 44 45 127 128
-239 44 45 159 160
-240 77 159 160 76
-241 37 136 38 137
-242 168 37 169 38
-243 69 168 70 169
-244 69 70 136 137
-245 71 170 72 171
-246 71 72 138 139
-247 39 138 40 139
-248 170 39 171 40
-249 155 156 40 41
-250 155 156 72 73
-251 123 124 72 73
-252 123 124 40 41
-253 51 150 52 151
-254 182 51 183 52
-255 83 182 84 183
-256 83 84 150 151
0