Graph forms
for C4 [ 273, 8 ] = PS(3,91;16)
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On this page are computer-accessible forms for the graph C4[ 273, 8 ] =
PS(3,91;16).
(I) Following is a form readable by MAGMA:
g:=Graph<273|{ {91, 92}, {167, 183}, {175, 191}, {174, 190}, {173, 189}, {172,
188}, {171, 187}, {170, 186}, {168, 184}, {169, 185}, {128, 203}, {180, 255},
{176, 251}, {132, 207}, {144, 219}, {148, 223}, {160, 235}, {164, 239}, {129,
204}, {179, 254}, {177, 252}, {131, 206}, {145, 220}, {147, 222}, {161, 236},
{163, 238}, {130, 205}, {178, 253}, {146, 221}, {162, 237}, {133, 208}, {175,
250}, {173, 248}, {135, 210}, {141, 216}, {143, 218}, {165, 240}, {167, 242},
{134, 209}, {174, 249}, {142, 217}, {166, 241}, {4, 94}, {5, 95}, {32, 122},
{33, 123}, {36, 126}, {37, 127}, {136, 211}, {172, 247}, {140, 215}, {168, 243},
{1, 93}, {2, 94}, {3, 95}, {32, 124}, {33, 125}, {34, 126}, {35, 127}, {137,
212}, {171, 246}, {169, 244}, {139, 214}, {2, 92}, {3, 93}, {34, 124}, {35,
125}, {138, 213}, {170, 245}, {4, 96}, {5, 97}, {6, 98}, {7, 99}, {12, 104},
{13, 105}, {14, 106}, {15, 107}, {20, 112}, {21, 113}, {22, 114}, {23, 115},
{28, 120}, {29, 121}, {30, 122}, {31, 123}, {6, 96}, {7, 97}, {14, 104}, {15,
105}, {22, 112}, {23, 113}, {30, 120}, {31, 121}, {8, 98}, {9, 99}, {12, 102},
{13, 103}, {24, 114}, {25, 115}, {28, 118}, {29, 119}, {128, 235}, {132, 239},
{144, 251}, {148, 255}, {8, 100}, {9, 101}, {10, 102}, {11, 103}, {24, 116},
{25, 117}, {26, 118}, {27, 119}, {129, 236}, {131, 238}, {145, 252}, {147, 254},
{10, 100}, {11, 101}, {26, 116}, {27, 117}, {130, 237}, {146, 253}, {176, 192},
{182, 198}, {181, 197}, {180, 196}, {179, 195}, {178, 194}, {177, 193}, {133,
240}, {135, 242}, {141, 248}, {143, 250}, {149, 224}, {151, 226}, {157, 232},
{159, 234}, {134, 241}, {142, 249}, {150, 225}, {158, 233}, {16, 106}, {17,
107}, {20, 110}, {21, 111}, {136, 243}, {140, 247}, {152, 227}, {156, 231}, {16,
108}, {17, 109}, {18, 110}, {19, 111}, {137, 244}, {139, 246}, {153, 228}, {155,
230}, {18, 108}, {19, 109}, {138, 245}, {154, 229}, {84, 192}, {85, 193}, {86,
194}, {87, 195}, {93, 200}, {95, 202}, {117, 224}, {119, 226}, {125, 232}, {127,
234}, {94, 201}, {118, 225}, {126, 233}, {92, 199}, {120, 227}, {124, 231}, {88,
196}, {89, 197}, {90, 198}, {91, 199}, {121, 228}, {123, 230}, {122, 229}, {36,
128}, {63, 155}, {62, 154}, {61, 153}, {60, 152}, {55, 147}, {54, 146}, {53,
145}, {52, 144}, {47, 139}, {46, 138}, {45, 137}, {44, 136}, {37, 129}, {38,
130}, {39, 131}, {18, 183}, {72, 237}, {66, 231}, {64, 229}, {24, 189}, {26,
191}, {74, 239}, {80, 245}, {82, 247}, {88, 253}, {90, 255}, {38, 128}, {63,
153}, {62, 152}, {55, 145}, {54, 144}, {47, 137}, {46, 136}, {39, 129}, {25,
190}, {65, 230}, {73, 238}, {81, 246}, {89, 254}, {40, 130}, {61, 151}, {60,
150}, {57, 147}, {56, 146}, {45, 135}, {44, 134}, {41, 131}, {19, 184}, {71,
236}, {67, 232}, {23, 188}, {83, 248}, {87, 252}, {96, 203}, {100, 207}, {112,
219}, {116, 223}, {40, 132}, {59, 151}, {58, 150}, {57, 149}, {56, 148}, {43,
135}, {41, 133}, {42, 134}, {20, 185}, {70, 235}, {68, 233}, {22, 187}, {84,
249}, {86, 251}, {97, 204}, {99, 206}, {113, 220}, {115, 222}, {42, 132}, {59,
149}, {58, 148}, {43, 133}, {21, 186}, {69, 234}, {85, 250}, {98, 205}, {114,
221}, {101, 208}, {103, 210}, {109, 216}, {111, 218}, {117, 192}, {119, 194},
{125, 200}, {127, 202}, {1, 182}, {102, 209}, {110, 217}, {118, 193}, {126,
201}, {48, 138}, {53, 143}, {52, 142}, {49, 139}, {75, 240}, {79, 244}, {104,
211}, {108, 215}, {120, 195}, {124, 199}, {48, 140}, {51, 143}, {50, 142}, {49,
141}, {76, 241}, {78, 243}, {105, 212}, {107, 214}, {121, 196}, {123, 198}, {50,
140}, {51, 141}, {77, 242}, {106, 213}, {122, 197}, {8, 207}, {56, 255}, {48,
247}, {16, 215}, {24, 223}, {32, 231}, {40, 239}, {1, 200}, {55, 254}, {53,
252}, {51, 250}, {49, 248}, {3, 202}, {5, 204}, {7, 206}, {17, 216}, {19, 218},
{21, 220}, {23, 222}, {33, 232}, {35, 234}, {37, 236}, {39, 238}, {2, 201}, {54,
253}, {50, 249}, {6, 205}, {18, 217}, {22, 221}, {34, 233}, {38, 237}, {112,
187}, {116, 191}, {113, 188}, {115, 190}, {4, 203}, {52, 251}, {20, 219}, {36,
235}, {114, 189}, {109, 184}, {111, 186}, {110, 185}, {9, 208}, {47, 246}, {45,
244}, {43, 242}, {11, 210}, {13, 212}, {15, 214}, {41, 240}, {64, 154}, {69,
159}, {68, 158}, {65, 155}, {10, 209}, {63, 228}, {59, 224}, {46, 245}, {14,
213}, {27, 192}, {31, 196}, {42, 241}, {108, 183}, {64, 156}, {67, 159}, {66,
158}, {65, 157}, {28, 193}, {62, 227}, {60, 225}, {30, 195}, {66, 156}, {67,
157}, {12, 211}, {61, 226}, {44, 243}, {29, 194}, {68, 160}, {71, 163}, {70,
162}, {69, 161}, {76, 168}, {77, 169}, {78, 170}, {79, 171}, {84, 176}, {85,
177}, {86, 178}, {87, 179}, {32, 197}, {58, 223}, {56, 221}, {50, 215}, {48,
213}, {34, 199}, {40, 205}, {42, 207}, {70, 160}, {71, 161}, {78, 168}, {79,
169}, {86, 176}, {87, 177}, {33, 198}, {57, 222}, {49, 214}, {41, 206}, {72,
162}, {73, 163}, {76, 166}, {77, 167}, {88, 178}, {89, 179}, {35, 200}, {55,
220}, {51, 216}, {39, 204}, {72, 164}, {73, 165}, {74, 166}, {75, 167}, {80,
188}, {81, 189}, {82, 190}, {83, 191}, {88, 180}, {89, 181}, {90, 182}, {36,
201}, {54, 219}, {52, 217}, {38, 203}, {74, 164}, {75, 165}, {90, 180}, {91,
181}, {37, 202}, {53, 218}, {76, 184}, {77, 185}, {78, 186}, {79, 187}, {25,
224}, {27, 226}, {29, 228}, {31, 230}, {80, 170}, {81, 171}, {84, 174}, {85,
175}, {26, 225}, {47, 212}, {43, 208}, {30, 229}, {75, 183}, {80, 172}, {81,
173}, {82, 174}, {83, 175}, {44, 209}, {46, 211}, {82, 172}, {83, 173}, {28,
227}, {45, 210}, {1, 257}, {2, 258}, {3, 259}, {4, 260}, {5, 261}, {6, 262}, {7,
263}, {8, 264}, {9, 265}, {10, 266}, {11, 267}, {12, 268}, {13, 269}, {14, 270},
{15, 271}, {16, 272}, {17, 273}, {57, 256}, {63, 262}, {61, 260}, {59, 258},
{58, 257}, {62, 261}, {60, 259}, {64, 263}, {72, 271}, {65, 264}, {71, 270},
{69, 268}, {67, 266}, {66, 265}, {70, 269}, {68, 267}, {73, 272}, {94, 260},
{95, 261}, {74, 273}, {91, 256}, {92, 258}, {93, 259}, {96, 262}, {97, 263},
{104, 270}, {105, 271}, {98, 264}, {99, 265}, {102, 268}, {103, 269}, {100,
266}, {101, 267}, {106, 272}, {107, 273}, {149, 256}, {151, 258}, {157, 264},
{159, 266}, {150, 257}, {158, 265}, {152, 259}, {156, 263}, {153, 260}, {155,
262}, {154, 261}, {160, 267}, {164, 271}, {161, 268}, {163, 270}, {162, 269},
{165, 272}, {181, 256}, {166, 273}, {182, 257} }>;
(II) A more general form is to represent the graph as the orbit of {91, 92}
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, 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, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228,
229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273) (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, 91)(3, 90)(4, 89)(5, 88)(6, 87)(7, 86)(8, 85)(9, 84)(10, 83)(11, 82)(12,
81)(13, 80)(14, 79)(15, 78)(16, 77)(17, 76)(18, 75)(19, 74)(20, 73)(21, 72)(22,
71)(23, 70)(24, 69)(25, 68)(26, 67)(27, 66)(28, 65)(29, 64)(30, 63)(31, 62)(32,
61)(33, 60)(34, 59)(35, 58)(36, 57)(37, 56)(38, 55)(39, 54)(40, 53)(41, 52)(42,
51)(43, 50)(44, 49)(45, 48)(46, 47)(93, 182)(94, 181)(95, 180)(96, 179)(97,
178)(98, 177)(99, 176)(100, 175)(101, 174)(102, 173)(103, 172)(104, 171)(105,
170)(106, 169)(107, 168)(108, 167)(109, 166)(110, 165)(111, 164)(112, 163)(113,
162)(114, 161)(115, 160)(116, 159)(117, 158)(118, 157)(119, 156)(120, 155)(121,
154)(122, 153)(123, 152)(124, 151)(125, 150)(126, 149)(127, 148)(128, 147)(129,
146)(130, 145)(131, 144)(132, 143)(133, 142)(134, 141)(135, 140)(136, 139)(137,
138)(184, 273)(185, 272)(186, 271)(187, 270)(188, 269)(189, 268)(190, 267)(191,
266)(192, 265)(193, 264)(194, 263)(195, 262)(196, 261)(197, 260)(198, 259)(199,
258)(200, 257)(201, 256)(202, 255)(203, 254)(204, 253)(205, 252)(206, 251)(207,
250)(208, 249)(209, 248)(210, 247)(211, 246)(212, 245)(213, 244)(214, 243)(215,
242)(216, 241)(217, 240)(218, 239)(219, 238)(220, 237)(221, 236)(222, 235)(223,
234)(224, 233)(225, 232)(226, 231)(227, 230)(228, 229)
c: (1, 92, 183)(2, 167, 257, 91, 108, 200)(3, 151, 240, 90, 124, 217)(4, 135,
223, 89, 140, 234)(5, 119, 206, 88, 156, 251)(6, 103, 189, 87, 172, 268)(7, 178,
263, 86, 97, 194)(8, 162, 246, 85, 113, 211)(9, 146, 229, 84, 129, 228)(10, 130,
212, 83, 145, 245)(11, 114, 195, 82, 161, 262)(12, 98, 269, 81, 177, 188)(13,
173, 252, 80, 102, 205)(14, 157, 235, 79, 118, 222)(15, 141, 218, 78, 134,
239)(16, 125, 201, 77, 150, 256)(17, 109, 184, 76, 166, 273)(18, 93, 258, 75,
182, 199)(19, 168, 241, 74, 107, 216)(20, 152, 224, 73, 123, 233)(21, 136, 207,
72, 139, 250)(22, 120, 190, 71, 155, 267)(23, 104, 264, 70, 171, 193)(24, 179,
247, 69, 96, 210)(25, 163, 230, 68, 112, 227)(26, 147, 213, 67, 128, 244)(27,
131, 196, 66, 144, 261)(28, 115, 270, 65, 160, 187)(29, 99, 253, 64, 176,
204)(30, 174, 236, 63, 101, 221)(31, 158, 219, 62, 117, 238)(32, 142, 202, 61,
133, 255)(33, 126, 185, 60, 149, 272)(34, 110, 259, 59, 165, 198)(35, 94, 242,
58, 181, 215)(36, 169, 225, 57, 106, 232)(37, 153, 208, 56, 122, 249)(38, 137,
191, 55, 138, 266)(39, 121, 265, 54, 154, 192)(40, 105, 248, 53, 170, 209)(41,
180, 231, 52, 95, 226)(42, 164, 214, 51, 111, 243)(43, 148, 197, 50, 127,
260)(44, 132, 271, 49, 143, 186)(45, 116, 254, 48, 159, 203)(46, 100, 237, 47,
175, 220)
C4[ 273, 8 ]
273
-1 200 257 93 182
-2 201 92 258 94
-3 202 93 259 95
-4 203 94 260 96
-5 204 95 261 97
-6 205 96 262 98
-7 99 206 97 263
-8 264 100 207 98
-9 99 265 101 208
-10 209 100 266 102
-11 210 101 267 103
-12 211 102 268 104
-13 212 103 269 105
-14 213 104 270 106
-15 214 105 271 107
-16 215 106 272 108
-17 216 107 273 109
-18 110 183 217 108
-19 111 184 218 109
-20 110 112 185 219
-21 220 111 113 186
-22 187 221 112 114
-23 188 222 113 115
-24 189 223 114 116
-25 190 224 115 117
-26 191 225 116 118
-27 192 226 117 119
-28 193 227 118 120
-29 121 194 228 119
-30 122 195 229 120
-31 121 123 196 230
-32 231 122 124 197
-33 198 232 123 125
-34 199 233 124 126
-35 200 234 125 127
-36 201 235 126 128
-37 202 236 127 129
-38 203 237 128 130
-39 204 238 129 131
-40 132 205 239 130
-41 133 206 240 131
-42 132 134 207 241
-43 242 133 135 208
-44 209 243 134 136
-45 210 244 135 137
-46 211 245 136 138
-47 212 246 137 139
-48 213 247 138 140
-49 214 248 139 141
-50 215 249 140 142
-51 143 216 250 141
-52 144 217 251 142
-53 143 145 218 252
-54 253 144 146 219
-55 220 254 145 147
-56 221 255 146 148
-57 222 256 147 149
-58 223 257 148 150
-59 224 258 149 151
-60 225 259 150 152
-61 226 260 151 153
-62 154 227 261 152
-63 155 228 262 153
-64 154 156 229 263
-65 264 155 157 230
-66 231 265 156 158
-67 232 266 157 159
-68 233 267 158 160
-69 234 268 159 161
-70 235 269 160 162
-71 236 270 161 163
-72 237 271 162 164
-73 165 238 272 163
-74 166 239 273 164
-75 165 167 183 240
-76 166 168 184 241
-77 242 167 169 185
-78 243 168 170 186
-79 187 244 169 171
-80 188 245 170 172
-81 189 246 171 173
-82 190 247 172 174
-83 191 248 173 175
-84 176 192 249 174
-85 177 193 250 175
-86 176 178 194 251
-87 177 179 195 252
-88 253 178 180 196
-89 254 179 181 197
-90 198 255 180 182
-91 199 256 92 181
-92 199 2 91 258
-93 1 200 3 259
-94 2 201 4 260
-95 3 202 5 261
-96 4 203 6 262
-97 5 204 7 263
-98 264 6 205 8
-99 265 7 206 9
-100 266 8 207 10
-101 11 267 9 208
-102 209 12 268 10
-103 11 210 13 269
-104 12 211 14 270
-105 13 212 15 271
-106 14 213 16 272
-107 15 214 17 273
-108 16 215 18 183
-109 17 216 19 184
-110 18 217 20 185
-111 19 218 21 186
-112 22 187 20 219
-113 220 23 188 21
-114 22 221 24 189
-115 23 222 25 190
-116 24 223 26 191
-117 25 224 27 192
-118 26 225 28 193
-119 27 226 29 194
-120 28 227 30 195
-121 29 228 31 196
-122 30 229 32 197
-123 33 198 31 230
-124 231 34 199 32
-125 33 232 35 200
-126 34 233 36 201
-127 35 234 37 202
-128 36 235 38 203
-129 37 236 39 204
-130 38 237 40 205
-131 39 238 41 206
-132 40 239 42 207
-133 41 240 43 208
-134 44 209 42 241
-135 242 45 210 43
-136 44 243 46 211
-137 45 244 47 212
-138 46 245 48 213
-139 47 246 49 214
-140 48 247 50 215
-141 49 248 51 216
-142 50 249 52 217
-143 51 250 53 218
-144 52 251 54 219
-145 55 220 53 252
-146 253 56 221 54
-147 55 254 57 222
-148 56 255 58 223
-149 57 256 59 224
-150 58 257 60 225
-151 59 258 61 226
-152 60 259 62 227
-153 61 260 63 228
-154 62 261 64 229
-155 63 262 65 230
-156 66 231 64 263
-157 264 67 232 65
-158 66 265 68 233
-159 67 266 69 234
-160 68 267 70 235
-161 69 268 71 236
-162 70 269 72 237
-163 71 270 73 238
-164 72 271 74 239
-165 73 272 75 240
-166 74 273 76 241
-167 77 242 183 75
-168 78 243 184 76
-169 77 79 244 185
-170 78 80 245 186
-171 187 79 81 246
-172 188 80 82 247
-173 189 81 83 248
-174 190 82 84 249
-175 191 83 85 250
-176 192 84 86 251
-177 193 85 87 252
-178 88 253 194 86
-179 89 254 195 87
-180 88 90 255 196
-181 89 91 256 197
-182 198 1 90 257
-183 167 18 75 108
-184 168 19 76 109
-185 77 110 169 20
-186 78 111 170 21
-187 22 79 112 171
-188 23 80 113 172
-189 24 81 114 173
-190 25 82 115 174
-191 26 83 116 175
-192 176 27 84 117
-193 177 28 85 118
-194 178 29 86 119
-195 179 30 87 120
-196 88 121 180 31
-197 89 122 181 32
-198 33 90 123 182
-199 34 91 124 92
-200 1 35 125 93
-201 2 36 126 94
-202 3 37 127 95
-203 4 38 128 96
-204 5 39 129 97
-205 6 40 130 98
-206 99 7 41 131
-207 132 100 8 42
-208 133 101 9 43
-209 44 134 102 10
-210 11 45 135 103
-211 12 46 136 104
-212 13 47 137 105
-213 14 48 138 106
-214 15 49 139 107
-215 16 50 140 108
-216 17 51 141 109
-217 110 18 52 142
-218 143 111 19 53
-219 144 112 20 54
-220 55 145 113 21
-221 22 56 146 114
-222 23 57 147 115
-223 24 58 148 116
-224 25 59 149 117
-225 26 60 150 118
-226 27 61 151 119
-227 28 62 152 120
-228 121 29 63 153
-229 154 122 30 64
-230 155 123 31 65
-231 66 156 124 32
-232 33 67 157 125
-233 34 68 158 126
-234 35 69 159 127
-235 36 70 160 128
-236 37 71 161 129
-237 38 72 162 130
-238 39 73 163 131
-239 132 40 74 164
-240 165 133 41 75
-241 166 134 42 76
-242 77 167 135 43
-243 44 78 168 136
-244 45 79 169 137
-245 46 80 170 138
-246 47 81 171 139
-247 48 82 172 140
-248 49 83 173 141
-249 50 84 174 142
-250 143 51 85 175
-251 176 144 52 86
-252 177 145 53 87
-253 88 178 146 54
-254 55 89 179 147
-255 56 90 180 148
-256 57 91 181 149
-257 1 58 182 150
-258 2 59 92 151
-259 3 60 93 152
-260 4 61 94 153
-261 154 5 62 95
-262 155 6 63 96
-263 156 7 64 97
-264 157 8 65 98
-265 66 99 158 9
-266 67 100 159 10
-267 11 68 101 160
-268 12 69 102 161
-269 13 70 103 162
-270 14 71 104 163
-271 15 72 105 164
-272 165 16 73 106
-273 166 17 74 107
0