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