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