Graph forms
for C4 [ 260, 13 ] = PL(Br(10,13;5))
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On this page are computer-accessible forms for the graph C4[ 260, 13 ] =
PL(Br(10,13;5)).
(I) Following is a form readable by MAGMA:
g:=Graph<260|{ {128, 221}, {128, 230}, {129, 231}, {128, 231}, {128, 240}, {129,
241}, {129, 240}, {130, 241}, {130, 250}, {130, 251}, {129, 250}, {15, 143},
{101, 229}, {2, 131}, {101, 228}, {91, 218}, {15, 142}, {1, 131}, {102, 228},
{91, 217}, {45, 175}, {44, 174}, {38, 164}, {39, 164}, {108, 239}, {102, 229},
{45, 174}, {44, 175}, {83, 208}, {9, 141}, {107, 239}, {39, 163}, {30, 154},
{10, 142}, {74, 206}, {84, 208}, {1, 132}, {38, 163}, {31, 154}, {74, 207}, {2,
132}, {31, 153}, {73, 207}, {9, 142}, {30, 153}, {10, 141}, {73, 206}, {16,
152}, {103, 239}, {102, 238}, {44, 164}, {17, 153}, {16, 153}, {115, 250}, {103,
238}, {102, 239}, {44, 165}, {17, 152}, {14, 132}, {115, 249}, {15, 133}, {14,
133}, {59, 176}, {15, 132}, {33, 173}, {60, 176}, {54, 186}, {34, 174}, {72,
196}, {73, 197}, {55, 186}, {118, 251}, {116, 249}, {72, 197}, {73, 196}, {43,
165}, {116, 250}, {55, 185}, {33, 174}, {54, 185}, {43, 164}, {34, 173}, {104,
248}, {104, 249}, {5, 151}, {74, 216}, {75, 217}, {4, 151}, {60, 175}, {74,
217}, {75, 216}, {45, 185}, {113, 229}, {59, 175}, {45, 184}, {112, 229}, {79,
218}, {46, 184}, {112, 230}, {65, 215}, {79, 217}, {46, 185}, {113, 230}, {28,
133}, {127, 230}, {65, 216}, {28, 134}, {84, 207}, {107, 240}, {4, 152}, {108,
240}, {83, 207}, {89, 197}, {5, 152}, {27, 134}, {88, 197}, {16, 142}, {103,
249}, {27, 133}, {88, 198}, {16, 143}, {103, 248}, {89, 198}, {76, 236}, {77,
237}, {76, 237}, {77, 236}, {89, 248}, {20, 182}, {127, 221}, {126, 220}, {90,
248}, {57, 155}, {8, 171}, {127, 220}, {56, 155}, {20, 183}, {8, 172}, {99,
199}, {98, 198}, {56, 156}, {28, 184}, {19, 183}, {19, 182}, {99, 198}, {98,
199}, {57, 156}, {29, 184}, {75, 227}, {75, 226}, {117, 220}, {29, 183}, {7,
172}, {36, 143}, {28, 183}, {7, 171}, {127, 211}, {126, 210}, {35, 143}, {13,
161}, {61, 145}, {62, 146}, {12, 161}, {126, 211}, {90, 247}, {12, 162}, {117,
219}, {41, 135}, {40, 134}, {76, 226}, {89, 247}, {13, 162}, {125, 210}, {41,
134}, {40, 135}, {61, 146}, {62, 145}, {76, 227}, {18, 162}, {43, 155}, {42,
154}, {18, 163}, {54, 135}, {43, 154}, {42, 155}, {17, 163}, {105, 219}, {99,
209}, {53, 135}, {86, 228}, {17, 162}, {99, 208}, {35, 144}, {87, 228}, {2,
182}, {125, 201}, {124, 200}, {115, 199}, {100, 208}, {36, 144}, {11, 191}, {87,
227}, {3, 182}, {125, 200}, {114, 199}, {105, 220}, {100, 209}, {10, 191}, {64,
245}, {86, 227}, {3, 181}, {64, 246}, {2, 181}, {126, 201}, {41, 145}, {78,
246}, {41, 144}, {78, 247}, {42, 144}, {114, 200}, {77, 247}, {42, 145}, {115,
200}, {77, 246}, {81, 237}, {110, 210}, {109, 209}, {82, 238}, {53, 136}, {18,
172}, {101, 219}, {100, 218}, {54, 136}, {19, 173}, {18, 173}, {110, 209}, {109,
210}, {101, 218}, {100, 219}, {19, 172}, {81, 238}, {82, 237}, {52, 244}, {95,
159}, {94, 158}, {52, 245}, {95, 158}, {94, 159}, {22, 212}, {125, 191}, {124,
190}, {34, 224}, {23, 213}, {22, 213}, {124, 191}, {112, 179}, {35, 224}, {23,
212}, {87, 148}, {59, 255}, {112, 180}, {87, 147}, {58, 255}, {123, 190}, {79,
138}, {24, 222}, {51, 245}, {79, 137}, {24, 223}, {51, 244}, {23, 223}, {96,
168}, {93, 149}, {23, 222}, {124, 181}, {96, 169}, {93, 148}, {63, 246}, {10,
192}, {94, 148}, {52, 254}, {63, 245}, {66, 136}, {67, 137}, {11, 192}, {94,
149}, {52, 255}, {66, 137}, {67, 136}, {88, 147}, {5, 201}, {108, 160}, {6,
202}, {82, 158}, {88, 148}, {27, 214}, {109, 160}, {83, 158}, {27, 213}, {123,
181}, {122, 180}, {83, 157}, {5, 202}, {123, 180}, {6, 201}, {82, 157}, {49,
225}, {123, 171}, {122, 170}, {67, 147}, {37, 244}, {122, 171}, {49, 224}, {67,
146}, {1, 211}, {97, 179}, {96, 178}, {50, 224}, {38, 244}, {31, 204}, {121,
170}, {97, 178}, {96, 179}, {56, 235}, {50, 225}, {9, 221}, {106, 190}, {56,
236}, {31, 203}, {21, 193}, {20, 192}, {1, 212}, {107, 190}, {38, 243}, {21,
192}, {20, 193}, {8, 221}, {8, 222}, {107, 189}, {93, 139}, {92, 138}, {40,
254}, {37, 243}, {68, 146}, {9, 222}, {106, 189}, {93, 138}, {92, 139}, {40,
255}, {68, 147}, {50, 234}, {121, 161}, {120, 160}, {51, 235}, {68, 156}, {69,
157}, {13, 212}, {121, 160}, {51, 234}, {50, 235}, {68, 157}, {69, 156}, {80,
137}, {80, 138}, {55, 236}, {122, 161}, {111, 180}, {22, 202}, {117, 169}, {111,
179}, {97, 189}, {55, 235}, {33, 253}, {61, 225}, {22, 203}, {116, 169}, {97,
188}, {60, 225}, {32, 253}, {13, 211}, {116, 170}, {98, 188}, {60, 226}, {32,
254}, {21, 203}, {21, 202}, {117, 170}, {98, 189}, {33, 254}, {61, 226}, {70,
166}, {70, 167}, {119, 150}, {106, 139}, {47, 205}, {105, 139}, {53, 215}, {69,
167}, {4, 231}, {47, 204}, {69, 166}, {3, 231}, {114, 150}, {113, 149}, {37,
193}, {65, 165}, {85, 177}, {86, 178}, {36, 193}, {105, 140}, {64, 165}, {26,
252}, {106, 140}, {49, 215}, {48, 214}, {36, 194}, {64, 166}, {26, 253}, {114,
149}, {113, 150}, {49, 214}, {48, 215}, {37, 194}, {65, 166}, {85, 178}, {86,
177}, {26, 242}, {26, 243}, {25, 243}, {81, 187}, {3, 232}, {32, 203}, {25,
242}, {80, 187}, {4, 232}, {47, 195}, {46, 194}, {32, 204}, {80, 188}, {46,
195}, {53, 216}, {47, 194}, {81, 188}, {120, 150}, {121, 151}, {120, 151}, {24,
232}, {25, 233}, {24, 233}, {39, 214}, {25, 232}, {14, 252}, {109, 159}, {39,
213}, {72, 186}, {90, 168}, {14, 253}, {108, 159}, {91, 168}, {72, 187}, {29,
233}, {119, 131}, {58, 206}, {57, 205}, {30, 234}, {118, 131}, {120, 141}, {70,
176}, {95, 169}, {71, 177}, {29, 234}, {95, 168}, {58, 205}, {57, 206}, {30,
233}, {70, 177}, {71, 176}, {11, 242}, {6, 252}, {119, 141}, {118, 140}, {11,
241}, {62, 196}, {7, 252}, {119, 140}, {63, 196}, {7, 251}, {91, 167}, {48,
204}, {35, 223}, {63, 195}, {71, 187}, {6, 251}, {48, 205}, {34, 223}, {12,
241}, {62, 195}, {71, 186}, {90, 167}, {12, 242}, {58, 256}, {59, 256}, {66,
256}, {66, 257}, {78, 256}, {78, 257}, {85, 257}, {84, 257}, {84, 258}, {85,
258}, {92, 258}, {92, 259}, {104, 258}, {110, 260}, {104, 259}, {111, 260},
{111, 259}, {110, 259}, {118, 260}, {130, 260} }>;
(II) A more general form is to represent the graph as the orbit of {128, 221}
under the group generated by the following permutations:
a: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)(14, 19, 24, 16, 21, 26, 18, 23,
15, 20, 25, 17, 22)(27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39)(40, 45,
50, 42, 47, 52, 44, 49, 41, 46, 51, 43, 48)(53, 54, 55, 56, 57, 58, 59, 60, 61,
62, 63, 64, 65)(66, 71, 76, 68, 73, 78, 70, 75, 67, 72, 77, 69, 74)(79, 80, 81,
82, 83, 84, 85, 86, 87, 88, 89, 90, 91)(92, 97, 102, 94, 99, 104, 96, 101, 93,
98, 103, 95, 100)(105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116,
117)(118, 123, 128, 120, 125, 130, 122, 127, 119, 124, 129, 121, 126)(131, 181,
231, 151, 201, 251, 171, 221, 141, 191, 241, 161, 211)(132, 182, 232, 152, 202,
252, 172, 222, 142, 192, 242, 162, 212)(133, 183, 233, 153, 203, 253, 173, 223,
143, 193, 243, 163, 213)(134, 184, 234, 154, 204, 254, 174, 224, 144, 194, 244,
164, 214)(135, 185, 235, 155, 205, 255, 175, 225, 145, 195, 245, 165, 215)(136,
186, 236, 156, 206, 256, 176, 226, 146, 196, 246, 166, 216)(137, 187, 237, 157,
207, 257, 177, 227, 147, 197, 247, 167, 217)(138, 188, 238, 158, 208, 258, 178,
228, 148, 198, 248, 168, 218)(139, 189, 239, 159, 209, 259, 179, 229, 149, 199,
249, 169, 219)(140, 190, 240, 160, 210, 260, 180, 230, 150, 200, 250, 170,
220) (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: (14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 123)(20, 124)(21, 125)(22,
126)(23, 127)(24, 128)(25, 129)(26, 130)(27, 105)(28, 106)(29, 107)(30, 108)(31,
109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 115)(38, 116)(39, 117)(40,
92)(41, 93)(42, 94)(43, 95)(44, 96)(45, 97)(46, 98)(47, 99)(48, 100)(49,
101)(50, 102)(51, 103)(52, 104)(53, 79)(54, 80)(55, 81)(56, 82)(57, 83)(58,
84)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(64, 90)(65, 91)(131, 132)(133,
140)(134, 139)(135, 138)(136, 137)(141, 142)(143, 150)(144, 149)(145, 148)(146,
147)(151, 152)(153, 160)(154, 159)(155, 158)(156, 157)(161, 162)(163, 170)(164,
169)(165, 168)(166, 167)(171, 172)(173, 180)(174, 179)(175, 178)(176, 177)(181,
182)(183, 190)(184, 189)(185, 188)(186, 187)(191, 192)(193, 200)(194, 199)(195,
198)(196, 197)(201, 202)(203, 210)(204, 209)(205, 208)(206, 207)(211, 212)(213,
220)(214, 219)(215, 218)(216, 217)(221, 222)(223, 230)(224, 229)(225, 228)(226,
227)(231, 232)(233, 240)(234, 239)(235, 238)(236, 237)(241, 242)(243, 250)(244,
249)(245, 248)(246, 247)(251, 252)(253, 260)(254, 259)(255, 258)(256, 257)
c: (2, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(14, 23)(15, 22)(16, 21)(17, 20)(18,
19)(24, 26)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(40, 49)(41, 48)(42,
47)(43, 46)(44, 45)(50, 52)(54, 65)(55, 64)(56, 63)(57, 62)(58, 61)(59, 60)(66,
75)(67, 74)(68, 73)(69, 72)(70, 71)(76, 78)(80, 91)(81, 90)(82, 89)(83, 88)(84,
87)(85, 86)(92, 101)(93, 100)(94, 99)(95, 98)(96, 97)(102, 104)(106, 117)(107,
116)(108, 115)(109, 114)(110, 113)(111, 112)(118, 127)(119, 126)(120, 125)(121,
124)(122, 123)(128, 130)(131, 211)(132, 212)(133, 213)(134, 214)(135, 215)(136,
216)(137, 217)(138, 218)(139, 219)(140, 220)(141, 201)(142, 202)(143, 203)(144,
204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 191)(152,
192)(153, 193)(154, 194)(155, 195)(156, 196)(157, 197)(158, 198)(159, 199)(160,
200)(161, 181)(162, 182)(163, 183)(164, 184)(165, 185)(166, 186)(167, 187)(168,
188)(169, 189)(170, 190)(221, 251)(222, 252)(223, 253)(224, 254)(225, 255)(226,
256)(227, 257)(228, 258)(229, 259)(230, 260)(231, 241)(232, 242)(233, 243)(234,
244)(235, 245)(236, 246)(237, 247)(238, 248)(239, 249)(240, 250)
d: (1, 14, 2, 15)(3, 16, 13, 26)(4, 17, 12, 25)(5, 18, 11, 24)(6, 19, 10, 23)(7,
20, 9, 22)(8, 21)(27, 118, 28, 119)(29, 120, 39, 130)(30, 121, 38, 129)(31, 122,
37, 128)(32, 123, 36, 127)(33, 124, 35, 126)(34, 125)(40, 106, 41, 105)(42, 117,
52, 107)(43, 116, 51, 108)(44, 115, 50, 109)(45, 114, 49, 110)(46, 113, 48,
111)(47, 112)(53, 92, 54, 93)(55, 94, 65, 104)(56, 95, 64, 103)(57, 96, 63,
102)(58, 97, 62, 101)(59, 98, 61, 100)(60, 99)(66, 80, 67, 79)(68, 91, 78,
81)(69, 90, 77, 82)(70, 89, 76, 83)(71, 88, 75, 84)(72, 87, 74, 85)(73, 86)(131,
133)(134, 140)(135, 139)(136, 138)(141, 213, 251, 183)(142, 212, 252, 182)(143,
211, 253, 181)(144, 220, 254, 190)(145, 219, 255, 189)(146, 218, 256, 188)(147,
217, 257, 187)(148, 216, 258, 186)(149, 215, 259, 185)(150, 214, 260, 184)(151,
163, 241, 233)(152, 162, 242, 232)(153, 161, 243, 231)(154, 170, 244, 240)(155,
169, 245, 239)(156, 168, 246, 238)(157, 167, 247, 237)(158, 166, 248, 236)(159,
165, 249, 235)(160, 164, 250, 234)(171, 193, 221, 203)(172, 192, 222, 202)(173,
191, 223, 201)(174, 200, 224, 210)(175, 199, 225, 209)(176, 198, 226, 208)(177,
197, 227, 207)(178, 196, 228, 206)(179, 195, 229, 205)(180, 194, 230, 204)
C4[ 260, 13 ]
260
-1 132 211 212 131
-2 132 181 182 131
-3 231 232 181 182
-4 231 232 151 152
-5 201 202 151 152
-6 201 202 251 252
-7 171 172 251 252
-8 221 222 171 172
-9 221 222 141 142
-10 191 192 141 142
-11 242 191 192 241
-12 242 161 162 241
-13 211 212 161 162
-14 132 253 133 252
-15 132 143 133 142
-16 143 152 142 153
-17 162 152 163 153
-18 172 162 173 163
-19 182 172 183 173
-20 192 182 193 183
-21 202 192 203 193
-22 212 202 213 203
-23 222 212 223 213
-24 232 222 233 223
-25 242 232 243 233
-26 242 253 243 252
-27 133 134 213 214
-28 133 134 183 184
-29 233 234 183 184
-30 154 233 234 153
-31 154 203 204 153
-32 253 254 203 204
-33 253 254 173 174
-34 223 224 173 174
-35 143 144 223 224
-36 143 144 193 194
-37 243 244 193 194
-38 243 244 163 164
-39 213 214 163 164
-40 254 134 255 135
-41 144 134 145 135
-42 154 144 155 145
-43 154 165 155 164
-44 165 174 164 175
-45 184 174 185 175
-46 194 184 195 185
-47 204 194 205 195
-48 214 204 215 205
-49 224 214 225 215
-50 234 224 235 225
-51 244 234 245 235
-52 254 244 255 245
-53 135 136 215 216
-54 135 136 185 186
-55 235 236 185 186
-56 155 156 235 236
-57 155 156 205 206
-58 255 256 205 206
-59 176 255 256 175
-60 176 225 226 175
-61 145 146 225 226
-62 145 146 195 196
-63 245 246 195 196
-64 165 166 245 246
-65 165 166 215 216
-66 256 136 257 137
-67 146 136 147 137
-68 156 146 157 147
-69 166 156 167 157
-70 176 166 177 167
-71 176 187 177 186
-72 187 196 186 197
-73 206 196 207 197
-74 216 206 217 207
-75 226 216 227 217
-76 236 226 237 227
-77 246 236 247 237
-78 256 246 257 247
-79 137 138 217 218
-80 187 188 137 138
-81 187 188 237 238
-82 157 158 237 238
-83 157 158 207 208
-84 257 258 207 208
-85 177 178 257 258
-86 177 178 227 228
-87 147 148 227 228
-88 198 147 148 197
-89 198 247 248 197
-90 167 168 247 248
-91 167 168 217 218
-92 258 138 259 139
-93 148 138 149 139
-94 158 148 159 149
-95 168 158 169 159
-96 178 168 179 169
-97 188 178 189 179
-98 198 188 199 189
-99 198 209 199 208
-100 209 218 208 219
-101 228 218 229 219
-102 238 228 239 229
-103 248 238 249 239
-104 258 248 259 249
-105 220 139 140 219
-106 189 190 139 140
-107 189 190 239 240
-108 159 160 239 240
-109 209 210 159 160
-110 209 210 259 260
-111 179 180 259 260
-112 179 180 229 230
-113 149 150 229 230
-114 199 200 149 150
-115 199 200 249 250
-116 169 170 249 250
-117 220 169 170 219
-118 260 140 251 131
-119 150 140 141 131
-120 160 150 151 141
-121 170 160 161 151
-122 180 170 171 161
-123 190 180 181 171
-124 200 190 191 181
-125 210 200 201 191
-126 220 210 211 201
-127 220 221 211 230
-128 231 221 240 230
-129 231 250 240 241
-130 260 250 251 241
-131 1 2 118 119
-132 1 2 14 15
-133 14 15 27 28
-134 27 28 40 41
-135 40 41 53 54
-136 66 67 53 54
-137 66 67 79 80
-138 79 80 92 93
-139 92 93 105 106
-140 105 106 118 119
-141 9 119 10 120
-142 15 16 9 10
-143 35 36 15 16
-144 35 36 41 42
-145 61 62 41 42
-146 67 68 61 62
-147 88 67 68 87
-148 88 93 94 87
-149 113 114 93 94
-150 113 114 119 120
-151 121 4 5 120
-152 4 5 16 17
-153 16 17 30 31
-154 30 31 42 43
-155 56 57 42 43
-156 56 57 68 69
-157 68 69 82 83
-158 82 83 94 95
-159 94 95 108 109
-160 121 108 109 120
-161 121 12 122 13
-162 12 13 17 18
-163 38 17 39 18
-164 44 38 39 43
-165 44 64 43 65
-166 69 70 64 65
-167 90 69 91 70
-168 90 91 95 96
-169 116 95 117 96
-170 121 122 116 117
-171 122 123 7 8
-172 7 18 8 19
-173 33 34 18 19
-174 33 44 34 45
-175 44 45 59 60
-176 59 70 60 71
-177 70 71 85 86
-178 85 96 86 97
-179 111 112 96 97
-180 111 122 112 123
-181 2 123 3 124
-182 2 3 19 20
-183 28 29 19 20
-184 45 46 28 29
-185 55 45 46 54
-186 55 71 72 54
-187 80 81 71 72
-188 80 81 97 98
-189 106 107 97 98
-190 123 124 106 107
-191 11 124 125 10
-192 11 20 10 21
-193 36 37 20 21
-194 46 36 47 37
-195 46 47 62 63
-196 72 62 73 63
-197 88 89 72 73
-198 88 99 89 98
-199 99 114 115 98
-200 124 114 125 115
-201 125 5 126 6
-202 22 5 6 21
-203 22 31 21 32
-204 47 48 31 32
-205 57 47 58 48
-206 57 58 73 74
-207 83 73 84 74
-208 99 100 83 84
-209 99 110 100 109
-210 110 125 126 109
-211 1 13 126 127
-212 22 1 23 13
-213 22 23 27 39
-214 48 27 49 39
-215 48 49 53 65
-216 74 53 75 65
-217 79 91 74 75
-218 100 79 101 91
-219 100 101 105 117
-220 126 105 127 117
-221 127 128 8 9
-222 23 24 8 9
-223 23 34 24 35
-224 34 35 49 50
-225 49 60 50 61
-226 60 61 75 76
-227 75 86 76 87
-228 101 102 86 87
-229 101 112 102 113
-230 112 113 127 128
-231 3 4 128 129
-232 24 3 25 4
-233 24 25 29 30
-234 50 29 51 30
-235 55 56 50 51
-236 55 77 56 76
-237 77 81 82 76
-238 102 81 103 82
-239 102 103 107 108
-240 128 107 129 108
-241 11 12 129 130
-242 11 12 25 26
-243 25 26 37 38
-244 37 38 51 52
-245 51 52 63 64
-246 77 78 63 64
-247 77 78 89 90
-248 89 90 103 104
-249 103 104 115 116
-250 115 116 129 130
-251 6 7 118 130
-252 14 26 6 7
-253 33 14 26 32
-254 33 40 52 32
-255 58 59 40 52
-256 66 78 58 59
-257 66 78 84 85
-258 92 104 84 85
-259 110 111 92 104
-260 110 111 118 130
0