Graph forms
for C4 [ 272, 26 ] = PL(CS(C_34(1,13)[34^2],1))
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On this page are computer-accessible forms for the graph C4[ 272, 26 ] =
PL(CS(C_34(1,13)[34^2],1)).
(I) Following is a form readable by MAGMA:
g:=Graph<272|{ {136, 137}, {135, 137}, {129, 169}, {130, 170}, {129, 170}, {130,
169}, {134, 170}, {134, 171}, {133, 171}, {133, 170}, {136, 204}, {131, 203},
{132, 204}, {128, 202}, {128, 203}, {135, 204}, {131, 204}, {132, 203}, {134,
218}, {135, 219}, {134, 219}, {135, 218}, {131, 231}, {130, 231}, {130, 232},
{131, 232}, {128, 244}, {136, 252}, {128, 245}, {136, 253}, {133, 253}, {133,
252}, {13, 141}, {56, 184}, {10, 139}, {59, 186}, {56, 185}, {13, 140}, {9,
139}, {59, 185}, {14, 140}, {14, 141}, {52, 183}, {51, 183}, {63, 187}, {9,
140}, {63, 186}, {60, 185}, {10, 140}, {60, 186}, {48, 182}, {48, 183}, {1,
137}, {125, 245}, {113, 249}, {98, 234}, {2, 138}, {82, 218}, {25, 144}, {125,
244}, {99, 234}, {83, 218}, {26, 144}, {111, 229}, {110, 228}, {99, 233}, {95,
213}, {83, 217}, {94, 212}, {1, 138}, {113, 250}, {111, 228}, {110, 229}, {98,
233}, {95, 212}, {51, 184}, {2, 137}, {82, 217}, {94, 213}, {6, 138}, {52, 184},
{29, 145}, {6, 139}, {116, 249}, {29, 144}, {5, 139}, {116, 250}, {55, 185},
{30, 144}, {5, 138}, {55, 184}, {30, 145}, {35, 179}, {36, 180}, {32, 178}, {39,
181}, {32, 179}, {39, 180}, {83, 192}, {84, 192}, {26, 143}, {88, 205}, {25,
143}, {104, 254}, {96, 246}, {87, 193}, {35, 180}, {104, 255}, {96, 247}, {36,
179}, {87, 192}, {22, 142}, {105, 241}, {47, 183}, {70, 222}, {71, 223}, {74,
210}, {85, 205}, {88, 192}, {22, 143}, {47, 182}, {44, 181}, {70, 223}, {71,
222}, {75, 210}, {88, 193}, {91, 194}, {21, 143}, {122, 224}, {119, 237}, {118,
236}, {101, 255}, {44, 182}, {75, 209}, {91, 193}, {21, 142}, {123, 224}, {119,
236}, {118, 237}, {105, 242}, {101, 254}, {74, 209}, {17, 141}, {95, 195}, {40,
180}, {18, 142}, {40, 181}, {108, 241}, {95, 194}, {43, 182}, {92, 193}, {43,
181}, {108, 242}, {92, 194}, {17, 142}, {18, 141}, {15, 175}, {100, 196}, {99,
195}, {54, 150}, {12, 173}, {57, 152}, {54, 151}, {15, 174}, {12, 174}, {103,
197}, {96, 194}, {58, 152}, {53, 151}, {19, 176}, {103, 196}, {96, 195}, {53,
150}, {8, 172}, {123, 223}, {115, 215}, {107, 207}, {61, 153}, {50, 150}, {49,
149}, {20, 176}, {8, 173}, {122, 223}, {114, 215}, {106, 207}, {61, 152}, {11,
174}, {11, 173}, {62, 152}, {23, 177}, {23, 176}, {100, 195}, {99, 196}, {62,
153}, {50, 149}, {49, 150}, {3, 171}, {111, 199}, {24, 176}, {4, 172}, {67,
235}, {78, 230}, {79, 231}, {84, 252}, {24, 177}, {111, 198}, {108, 197}, {27,
178}, {66, 235}, {78, 231}, {79, 230}, {7, 173}, {114, 216}, {108, 198}, {27,
177}, {81, 251}, {93, 247}, {7, 172}, {115, 216}, {93, 246}, {31, 179}, {127,
211}, {126, 210}, {104, 196}, {28, 177}, {127, 210}, {126, 211}, {107, 198},
{104, 197}, {58, 151}, {31, 178}, {81, 252}, {28, 178}, {107, 197}, {57, 151},
{66, 236}, {3, 172}, {4, 171}, {67, 236}, {84, 251}, {33, 145}, {120, 200}, {34,
146}, {120, 201}, {123, 202}, {123, 201}, {33, 146}, {116, 199}, {34, 145}, {38,
146}, {127, 203}, {115, 199}, {38, 147}, {127, 202}, {124, 201}, {37, 147},
{124, 202}, {112, 198}, {37, 146}, {112, 199}, {45, 149}, {64, 248}, {76, 244},
{86, 238}, {87, 239}, {90, 226}, {42, 147}, {45, 148}, {64, 249}, {86, 239},
{87, 238}, {91, 226}, {41, 147}, {106, 208}, {103, 221}, {102, 220}, {46, 148},
{73, 243}, {91, 225}, {20, 175}, {115, 200}, {107, 208}, {103, 220}, {102, 221},
{46, 149}, {90, 225}, {19, 175}, {116, 200}, {41, 148}, {73, 244}, {16, 174},
{119, 201}, {42, 148}, {16, 175}, {119, 200}, {76, 243}, {97, 161}, {98, 162},
{97, 162}, {98, 161}, {53, 241}, {102, 162}, {61, 249}, {53, 240}, {102, 163},
{61, 248}, {90, 159}, {22, 208}, {101, 163}, {47, 233}, {46, 232}, {39, 225},
{38, 224}, {31, 217}, {30, 216}, {23, 209}, {89, 159}, {22, 209}, {101, 162},
{47, 232}, {46, 233}, {39, 224}, {38, 225}, {31, 216}, {30, 217}, {23, 208},
{56, 240}, {109, 165}, {86, 158}, {52, 253}, {109, 164}, {106, 163}, {56, 241},
{86, 159}, {52, 254}, {110, 164}, {105, 163}, {85, 159}, {85, 158}, {110, 165},
{2, 206}, {49, 253}, {34, 238}, {18, 222}, {81, 157}, {82, 158}, {3, 206}, {105,
164}, {35, 238}, {19, 222}, {3, 205}, {106, 164}, {35, 237}, {19, 221}, {2,
205}, {49, 254}, {34, 237}, {18, 221}, {81, 158}, {82, 157}, {77, 157}, {118,
166}, {74, 155}, {121, 168}, {118, 167}, {77, 156}, {73, 155}, {122, 168}, {117,
167}, {78, 156}, {78, 157}, {117, 166}, {113, 165}, {125, 169}, {114, 166}, {73,
156}, {125, 168}, {74, 156}, {126, 168}, {113, 166}, {126, 169}, {114, 165},
{59, 227}, {65, 153}, {66, 154}, {44, 245}, {58, 227}, {32, 250}, {44, 246},
{32, 251}, {65, 154}, {66, 153}, {10, 214}, {41, 245}, {70, 154}, {11, 214},
{122, 167}, {70, 155}, {11, 213}, {121, 167}, {58, 228}, {69, 155}, {10, 213},
{59, 228}, {41, 246}, {69, 154}, {6, 226}, {15, 235}, {14, 234}, {7, 227}, {6,
227}, {15, 234}, {14, 235}, {7, 226}, {21, 243}, {29, 251}, {21, 242}, {29,
250}, {51, 219}, {62, 214}, {63, 215}, {50, 219}, {62, 215}, {63, 214}, {24,
242}, {4, 239}, {24, 243}, {20, 255}, {84, 191}, {83, 191}, {1, 239}, {50, 220},
{17, 255}, {80, 190}, {51, 220}, {80, 191}, {79, 191}, {1, 240}, {9, 248}, {76,
189}, {79, 190}, {76, 190}, {4, 240}, {12, 248}, {72, 188}, {72, 189}, {75,
190}, {75, 189}, {43, 211}, {55, 207}, {54, 206}, {67, 187}, {68, 188}, {42,
211}, {55, 206}, {54, 207}, {89, 160}, {64, 186}, {71, 189}, {90, 160}, {12,
247}, {64, 187}, {71, 188}, {26, 230}, {93, 161}, {27, 230}, {93, 160}, {9,
247}, {42, 212}, {27, 229}, {94, 160}, {26, 229}, {43, 212}, {67, 188}, {68,
187}, {94, 161}, {5, 261}, {13, 269}, {5, 260}, {13, 268}, {8, 260}, {8, 261},
{17, 256}, {25, 264}, {20, 256}, {28, 264}, {28, 263}, {16, 268}, {16, 269},
{25, 263}, {37, 259}, {45, 267}, {37, 258}, {45, 266}, {40, 258}, {36, 271},
{40, 259}, {33, 271}, {33, 272}, {36, 272}, {60, 261}, {48, 266}, {60, 262},
{48, 267}, {57, 261}, {57, 262}, {69, 257}, {77, 265}, {69, 256}, {77, 264},
{85, 272}, {72, 256}, {88, 272}, {68, 269}, {72, 257}, {68, 270}, {65, 269},
{65, 270}, {80, 264}, {92, 260}, {80, 265}, {89, 259}, {89, 260}, {92, 259},
{100, 268}, {97, 267}, {109, 263}, {109, 262}, {97, 268}, {100, 267}, {112,
262}, {120, 270}, {112, 263}, {120, 271}, {121, 257}, {117, 271}, {117, 270},
{121, 258}, {124, 257}, {124, 258}, {129, 265}, {129, 266}, {132, 265}, {132,
266} }>;
(II) A more general form is to represent the graph as the orbit of {136, 137}
under the group generated by the following permutations:
a: (1, 2)(3, 4)(5, 6)(7, 8)(9, 10)(11, 12)(13, 14)(15, 16)(17, 18)(19, 20)(21,
22)(23, 24)(25, 26)(27, 28)(29, 30)(31, 32)(33, 34)(35, 36)(37, 38)(39, 40)(41,
42)(43, 44)(45, 46)(47, 48)(49, 50)(51, 52)(53, 54)(55, 56)(57, 58)(59, 60)(61,
62)(63, 64)(65, 66)(67, 68)(69, 70)(71, 72)(73, 74)(75, 76)(77, 78)(79, 80)(81,
82)(83, 84)(85, 86)(87, 88)(89, 90)(91, 92)(93, 94)(95, 96)(97, 98)(99,
100)(101, 102)(103, 104)(105, 106)(107, 108)(109, 110)(111, 112)(113, 114)(115,
116)(117, 118)(119, 120)(121, 122)(123, 124)(125, 126)(127, 128)(129, 130)(131,
132)(133, 134)(135, 136)(205, 239)(206, 240)(207, 241)(208, 242)(209, 243)(210,
244)(211, 245)(212, 246)(213, 247)(214, 248)(215, 249)(216, 250)(217, 251)(218,
252)(219, 253)(220, 254)(221, 255)(222, 256)(223, 257)(224, 258)(225, 259)(226,
260)(227, 261)(228, 262)(229, 263)(230, 264)(231, 265)(232, 266)(233, 267)(234,
268)(235, 269)(236, 270)(237, 271)(238, 272) (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, 5, 10, 14, 17, 22, 26, 29, 33, 38, 41, 45, 50, 53, 57, 62, 66, 69, 74,
78, 81, 85, 90, 93, 97, 102, 105, 109, 114, 118, 121, 126, 130, 133, 3, 7, 12,
16, 19, 24, 28, 31, 35, 40, 43, 47, 52, 55, 59, 64, 68, 71, 76, 80, 83, 87, 92,
95, 99, 104, 107, 111, 116, 120, 123, 128, 132, 135)(2, 6, 9, 13, 18, 21, 25,
30, 34, 37, 42, 46, 49, 54, 58, 61, 65, 70, 73, 77, 82, 86, 89, 94, 98, 101,
106, 110, 113, 117, 122, 125, 129, 134, 4, 8, 11, 15, 20, 23, 27, 32, 36, 39,
44, 48, 51, 56, 60, 63, 67, 72, 75, 79, 84, 88, 91, 96, 100, 103, 108, 112, 115,
119, 124, 127, 131, 136)(137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147,
148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163,
164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179,
180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195,
196, 197, 198, 199, 200, 201, 202, 203, 204)(205, 226, 247, 268, 221, 242, 263,
216, 237, 258, 211, 232, 253, 206, 227, 248, 269, 222, 243, 264, 217, 238, 259,
212, 233, 254, 207, 228, 249, 270, 223, 244, 265, 218, 239, 260, 213, 234, 255,
208, 229, 250, 271, 224, 245, 266, 219, 240, 261, 214, 235, 256, 209, 230, 251,
272, 225, 246, 267, 220, 241, 262, 215, 236, 257, 210, 231, 252)
c: (5, 135)(6, 136)(7, 133)(8, 134)(9, 131)(10, 132)(11, 129)(12, 130)(13,
127)(14, 128)(15, 125)(16, 126)(17, 123)(18, 124)(19, 121)(20, 122)(21, 119)(22,
120)(23, 117)(24, 118)(25, 115)(26, 116)(27, 113)(28, 114)(29, 111)(30, 112)(31,
109)(32, 110)(33, 107)(34, 108)(35, 105)(36, 106)(37, 103)(38, 104)(39, 101)(40,
102)(41, 99)(42, 100)(43, 97)(44, 98)(45, 95)(46, 96)(47, 93)(48, 94)(49,
91)(50, 92)(51, 89)(52, 90)(53, 87)(54, 88)(55, 85)(56, 86)(57, 83)(58, 84)(59,
81)(60, 82)(61, 79)(62, 80)(63, 77)(64, 78)(65, 75)(66, 76)(67, 73)(68, 74)(69,
71)(70, 72)(137, 138)(139, 204)(140, 203)(141, 202)(142, 201)(143, 200)(144,
199)(145, 198)(146, 197)(147, 196)(148, 195)(149, 194)(150, 193)(151, 192)(152,
191)(153, 190)(154, 189)(155, 188)(156, 187)(157, 186)(158, 185)(159, 184)(160,
183)(161, 182)(162, 181)(163, 180)(164, 179)(165, 178)(166, 177)(167, 176)(168,
175)(169, 174)(170, 173)(171, 172)(205, 206)(207, 272)(208, 271)(209, 270)(210,
269)(211, 268)(212, 267)(213, 266)(214, 265)(215, 264)(216, 263)(217, 262)(218,
261)(219, 260)(220, 259)(221, 258)(222, 257)(223, 256)(224, 255)(225, 254)(226,
253)(227, 252)(228, 251)(229, 250)(230, 249)(231, 248)(232, 247)(233, 246)(234,
245)(235, 244)(236, 243)(237, 242)(238, 241)(239, 240)
d: (2, 4)(5, 86, 135, 56)(6, 87, 136, 53)(7, 88, 133, 54)(8, 85, 134, 55)(9, 34,
131, 108)(10, 35, 132, 105)(11, 36, 129, 106)(12, 33, 130, 107)(13, 118, 127,
24)(14, 119, 128, 21)(15, 120, 125, 22)(16, 117, 126, 23)(17, 66, 123, 76)(18,
67, 124, 73)(19, 68, 121, 74)(20, 65, 122, 75)(25, 98, 115, 44)(26, 99, 116,
41)(27, 100, 113, 42)(28, 97, 114, 43)(29, 46, 111, 96)(30, 47, 112, 93)(31, 48,
109, 94)(32, 45, 110, 95)(37, 78, 103, 64)(38, 79, 104, 61)(39, 80, 101, 62)(40,
77, 102, 63)(49, 58, 91, 84)(50, 59, 92, 81)(51, 60, 89, 82)(52, 57, 90, 83)(69,
70, 71, 72)(137, 240, 138, 239)(139, 238, 204, 241)(140, 237, 203, 242)(141,
236, 202, 243)(142, 235, 201, 244)(143, 234, 200, 245)(144, 233, 199, 246)(145,
232, 198, 247)(146, 231, 197, 248)(147, 230, 196, 249)(148, 229, 195, 250)(149,
228, 194, 251)(150, 227, 193, 252)(151, 226, 192, 253)(152, 225, 191, 254)(153,
224, 190, 255)(154, 223, 189, 256)(155, 222, 188, 257)(156, 221, 187, 258)(157,
220, 186, 259)(158, 219, 185, 260)(159, 218, 184, 261)(160, 217, 183, 262)(161,
216, 182, 263)(162, 215, 181, 264)(163, 214, 180, 265)(164, 213, 179, 266)(165,
212, 178, 267)(166, 211, 177, 268)(167, 210, 176, 269)(168, 209, 175, 270)(169,
208, 174, 271)(170, 207, 173, 272)(171, 206, 172, 205)
C4[ 272, 26 ]
272
-1 137 138 239 240
-2 137 138 205 206
-3 171 172 205 206
-4 171 172 239 240
-5 138 139 260 261
-6 138 226 139 227
-7 226 172 227 173
-8 172 260 173 261
-9 247 248 139 140
-10 213 214 139 140
-11 213 214 173 174
-12 247 248 173 174
-13 268 269 140 141
-14 234 235 140 141
-15 234 235 174 175
-16 268 269 174 175
-17 255 256 141 142
-18 221 222 141 142
-19 176 221 222 175
-20 176 255 256 175
-21 143 242 243 142
-22 143 209 142 208
-23 176 209 177 208
-24 176 242 177 243
-25 143 264 144 263
-26 143 144 229 230
-27 177 178 229 230
-28 264 177 178 263
-29 144 145 250 251
-30 144 145 216 217
-31 178 179 216 217
-32 178 179 250 251
-33 145 146 271 272
-34 145 146 237 238
-35 179 180 237 238
-36 179 180 271 272
-37 146 147 258 259
-38 146 147 224 225
-39 180 224 181 225
-40 180 181 258 259
-41 245 147 246 148
-42 211 212 147 148
-43 211 212 181 182
-44 245 246 181 182
-45 266 267 148 149
-46 232 233 148 149
-47 232 233 182 183
-48 266 267 182 183
-49 253 254 149 150
-50 220 149 150 219
-51 220 183 184 219
-52 253 254 183 184
-53 150 151 240 241
-54 150 151 206 207
-55 184 206 185 207
-56 184 185 240 241
-57 151 261 152 262
-58 227 151 228 152
-59 227 228 185 186
-60 261 185 262 186
-61 248 249 152 153
-62 214 215 152 153
-63 187 214 215 186
-64 187 248 249 186
-65 154 269 270 153
-66 154 235 236 153
-67 187 188 235 236
-68 187 188 269 270
-69 154 155 256 257
-70 154 155 222 223
-71 188 189 222 223
-72 188 189 256 257
-73 155 243 156 244
-74 209 155 210 156
-75 209 210 189 190
-76 243 189 244 190
-77 264 265 156 157
-78 231 156 157 230
-79 231 190 191 230
-80 264 265 190 191
-81 157 158 251 252
-82 157 158 217 218
-83 191 192 217 218
-84 191 192 251 252
-85 158 159 205 272
-86 158 159 238 239
-87 192 193 238 239
-88 192 193 205 272
-89 159 160 259 260
-90 159 225 160 226
-91 225 193 226 194
-92 193 259 194 260
-93 246 247 160 161
-94 212 213 160 161
-95 212 213 194 195
-96 246 247 194 195
-97 267 268 161 162
-98 233 234 161 162
-99 233 234 195 196
-100 267 268 195 196
-101 254 255 162 163
-102 220 221 162 163
-103 220 221 196 197
-104 254 255 196 197
-105 242 163 164 241
-106 163 207 164 208
-107 198 207 197 208
-108 198 242 197 241
-109 165 262 164 263
-110 165 228 229 164
-111 198 199 228 229
-112 198 199 262 263
-113 165 166 249 250
-114 165 166 215 216
-115 199 200 215 216
-116 199 200 249 250
-117 166 167 270 271
-118 166 167 236 237
-119 200 201 236 237
-120 200 201 270 271
-121 167 168 257 258
-122 167 168 223 224
-123 201 223 202 224
-124 201 202 257 258
-125 244 168 245 169
-126 210 211 168 169
-127 210 211 202 203
-128 244 245 202 203
-129 265 266 169 170
-130 231 232 169 170
-131 231 232 203 204
-132 265 266 203 204
-133 253 170 171 252
-134 170 171 218 219
-135 137 204 218 219
-136 253 137 204 252
-137 1 2 135 136
-138 1 2 5 6
-139 5 6 9 10
-140 13 14 9 10
-141 13 14 17 18
-142 22 17 18 21
-143 22 25 26 21
-144 25 26 29 30
-145 33 34 29 30
-146 33 34 37 38
-147 37 38 41 42
-148 45 46 41 42
-149 45 46 49 50
-150 49 50 53 54
-151 57 58 53 54
-152 57 58 61 62
-153 66 61 62 65
-154 66 69 70 65
-155 69 70 73 74
-156 77 78 73 74
-157 77 78 81 82
-158 81 82 85 86
-159 89 90 85 86
-160 89 90 93 94
-161 93 94 97 98
-162 101 102 97 98
-163 101 102 105 106
-164 110 105 106 109
-165 110 113 114 109
-166 113 114 117 118
-167 121 122 117 118
-168 121 122 125 126
-169 125 126 129 130
-170 133 134 129 130
-171 133 134 3 4
-172 3 4 7 8
-173 11 12 7 8
-174 11 12 15 16
-175 15 16 19 20
-176 23 24 19 20
-177 23 24 27 28
-178 27 28 31 32
-179 35 36 31 32
-180 35 36 39 40
-181 44 39 40 43
-182 44 47 48 43
-183 47 48 51 52
-184 55 56 51 52
-185 55 56 59 60
-186 59 60 63 64
-187 67 68 63 64
-188 67 68 71 72
-189 71 72 75 76
-190 79 80 75 76
-191 79 80 83 84
-192 88 83 84 87
-193 88 91 92 87
-194 91 92 95 96
-195 99 100 95 96
-196 99 100 103 104
-197 103 104 107 108
-198 111 112 107 108
-199 111 112 115 116
-200 115 116 119 120
-201 123 124 119 120
-202 123 124 127 128
-203 132 127 128 131
-204 132 135 136 131
-205 88 2 3 85
-206 55 2 3 54
-207 55 106 107 54
-208 22 23 106 107
-209 22 23 74 75
-210 126 127 74 75
-211 126 127 42 43
-212 94 95 42 43
-213 11 94 95 10
-214 11 62 63 10
-215 114 115 62 63
-216 114 115 30 31
-217 82 83 30 31
-218 134 135 82 83
-219 134 135 50 51
-220 102 103 50 51
-221 102 103 18 19
-222 70 71 18 19
-223 122 123 70 71
-224 122 123 38 39
-225 90 91 38 39
-226 90 91 6 7
-227 58 59 6 7
-228 110 111 58 59
-229 110 111 26 27
-230 78 79 26 27
-231 78 79 130 131
-232 46 47 130 131
-233 99 46 47 98
-234 99 14 15 98
-235 66 67 14 15
-236 66 67 118 119
-237 34 35 118 119
-238 34 35 86 87
-239 1 4 86 87
-240 1 56 4 53
-241 56 105 53 108
-242 24 105 108 21
-243 24 73 21 76
-244 125 73 128 76
-245 44 125 128 41
-246 44 93 41 96
-247 12 93 96 9
-248 12 61 9 64
-249 113 61 116 64
-250 113 116 29 32
-251 81 29 84 32
-252 133 81 136 84
-253 133 136 49 52
-254 101 49 104 52
-255 101 104 17 20
-256 69 17 72 20
-257 121 69 124 72
-258 121 124 37 40
-259 89 37 92 40
-260 89 92 5 8
-261 57 5 60 8
-262 57 112 60 109
-263 112 25 28 109
-264 77 25 80 28
-265 77 132 80 129
-266 132 45 48 129
-267 45 100 48 97
-268 100 13 16 97
-269 13 68 16 65
-270 68 117 65 120
-271 33 36 117 120
-272 33 88 36 85
0