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