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