Graph forms
for C4 [ 279, 4 ] = PS(3,93;25)
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On this page are computer-accessible forms for the graph C4[ 279, 4 ] =
PS(3,93;25).
(I) Following is a form readable by MAGMA:
g:=Graph<279|{ {93, 94}, {162, 187}, {166, 191}, {164, 189}, {165, 190}, {163,
188}, {128, 196}, {186, 254}, {185, 253}, {184, 252}, {179, 247}, {178, 246},
{177, 245}, {176, 244}, {171, 239}, {170, 238}, {169, 237}, {168, 236}, {163,
231}, {162, 230}, {161, 229}, {160, 228}, {155, 223}, {154, 222}, {153, 221},
{152, 220}, {129, 197}, {130, 198}, {131, 199}, {136, 204}, {137, 205}, {138,
206}, {139, 207}, {144, 212}, {145, 213}, {146, 214}, {147, 215}, {132, 200},
{183, 251}, {182, 250}, {181, 249}, {180, 248}, {167, 235}, {166, 234}, {165,
233}, {164, 232}, {151, 219}, {133, 201}, {134, 202}, {135, 203}, {148, 216},
{149, 217}, {150, 218}, {2, 94}, {175, 243}, {174, 242}, {173, 241}, {172, 240},
{3, 95}, {32, 124}, {33, 125}, {34, 126}, {35, 127}, {140, 208}, {141, 209},
{142, 210}, {143, 211}, {1, 95}, {32, 126}, {33, 127}, {2, 96}, {3, 97}, {6,
100}, {7, 101}, {10, 104}, {11, 105}, {14, 108}, {15, 109}, {18, 112}, {19,
113}, {22, 116}, {23, 117}, {26, 120}, {27, 121}, {30, 124}, {31, 125}, {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}, {4, 98}, {5, 99}, {12, 106}, {13, 107}, {20, 114}, {21, 115}, {28, 122},
{29, 123}, {167, 192}, {183, 208}, {175, 200}, {168, 193}, {186, 211}, {184,
209}, {174, 199}, {172, 197}, {170, 195}, {169, 194}, {185, 210}, {173, 198},
{8, 100}, {9, 101}, {10, 102}, {11, 103}, {24, 116}, {25, 117}, {26, 118}, {27,
119}, {8, 102}, {9, 103}, {24, 118}, {25, 119}, {171, 196}, {128, 246}, {129,
247}, {136, 254}, {137, 255}, {176, 201}, {182, 207}, {180, 205}, {178, 203},
{130, 248}, {131, 249}, {134, 252}, {135, 253}, {177, 202}, {181, 206}, {16,
108}, {159, 227}, {158, 226}, {157, 225}, {156, 224}, {17, 109}, {18, 110}, {19,
111}, {16, 110}, {17, 111}, {132, 250}, {133, 251}, {179, 204}, {73, 192}, {75,
194}, {77, 196}, {79, 198}, {89, 208}, {91, 210}, {93, 212}, {94, 212}, {95,
213}, {106, 224}, {107, 225}, {110, 228}, {111, 229}, {122, 240}, {123, 241},
{126, 244}, {127, 245}, {74, 193}, {78, 197}, {90, 209}, {108, 226}, {109, 227},
{124, 242}, {125, 243}, {76, 195}, {92, 211}, {112, 230}, {113, 231}, {120,
238}, {121, 239}, {80, 199}, {88, 207}, {81, 200}, {83, 202}, {85, 204}, {87,
206}, {114, 232}, {115, 233}, {118, 236}, {119, 237}, {82, 201}, {86, 205},
{116, 234}, {117, 235}, {84, 203}, {27, 187}, {67, 227}, {66, 226}, {65, 225},
{64, 224}, {28, 188}, {29, 189}, {30, 190}, {31, 191}, {68, 228}, {69, 229},
{70, 230}, {71, 231}, {72, 232}, {73, 233}, {74, 234}, {75, 235}, {76, 236},
{77, 237}, {78, 238}, {79, 239}, {80, 240}, {81, 241}, {82, 242}, {83, 243},
{84, 244}, {85, 245}, {86, 246}, {87, 247}, {88, 248}, {89, 249}, {90, 250},
{91, 251}, {92, 252}, {93, 253}, {94, 255}, {34, 128}, {63, 157}, {62, 156},
{59, 153}, {58, 152}, {55, 149}, {54, 148}, {51, 145}, {50, 144}, {47, 141},
{46, 140}, {43, 137}, {42, 136}, {35, 129}, {38, 132}, {39, 133}, {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}, {36, 130}, {61, 155}, {60, 154}, {53, 147}, {52, 146}, {45, 139},
{44, 138}, {37, 131}, {40, 132}, {59, 151}, {58, 150}, {57, 149}, {56, 148},
{43, 135}, {42, 134}, {41, 133}, {40, 134}, {57, 151}, {56, 150}, {41, 135},
{96, 214}, {97, 215}, {104, 222}, {105, 223}, {98, 216}, {99, 217}, {102, 220},
{103, 221}, {1, 186}, {48, 140}, {51, 143}, {50, 142}, {49, 141}, {124, 192},
{125, 193}, {126, 194}, {127, 195}, {48, 142}, {49, 143}, {100, 218}, {101,
219}, {120, 188}, {121, 189}, {122, 190}, {123, 191}, {119, 187}, {1, 213}, {43,
255}, {42, 254}, {41, 253}, {2, 214}, {3, 215}, {8, 220}, {9, 221}, {10, 222},
{11, 223}, {32, 244}, {33, 245}, {34, 246}, {35, 247}, {40, 252}, {4, 216}, {67,
159}, {66, 158}, {65, 157}, {64, 156}, {5, 217}, {6, 218}, {7, 219}, {36, 248},
{37, 249}, {38, 250}, {39, 251}, {64, 158}, {65, 159}, {32, 192}, {63, 223},
{62, 222}, {61, 221}, {60, 220}, {59, 219}, {58, 218}, {57, 217}, {56, 216},
{55, 215}, {54, 214}, {53, 213}, {52, 212}, {51, 211}, {50, 210}, {49, 209},
{48, 208}, {47, 207}, {46, 206}, {45, 205}, {44, 204}, {43, 203}, {42, 202},
{41, 201}, {33, 193}, {34, 194}, {35, 195}, {36, 196}, {37, 197}, {38, 198},
{39, 199}, {40, 200}, {66, 160}, {67, 161}, {70, 164}, {71, 165}, {74, 168},
{75, 169}, {78, 172}, {79, 173}, {82, 176}, {83, 177}, {86, 180}, {87, 181},
{90, 184}, {91, 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},
{92, 184}, {93, 185}, {68, 162}, {69, 163}, {76, 170}, {77, 171}, {84, 178},
{85, 179}, {92, 186}, {12, 224}, {13, 225}, {14, 226}, {15, 227}, {28, 240},
{29, 241}, {30, 242}, {31, 243}, {72, 164}, {73, 165}, {74, 166}, {75, 167},
{88, 180}, {89, 181}, {90, 182}, {91, 183}, {72, 166}, {73, 167}, {88, 182},
{89, 183}, {16, 228}, {17, 229}, {18, 230}, {19, 231}, {24, 236}, {25, 237},
{26, 238}, {27, 239}, {72, 191}, {69, 188}, {71, 190}, {70, 189}, {20, 232},
{21, 233}, {22, 234}, {23, 235}, {80, 172}, {81, 173}, {82, 174}, {83, 175}, {2,
255}, {80, 174}, {81, 175}, {1, 254}, {68, 187}, {3, 256}, {7, 260}, {11, 264},
{15, 268}, {19, 272}, {23, 276}, {4, 257}, {6, 259}, {12, 265}, {14, 267}, {20,
273}, {22, 275}, {5, 258}, {13, 266}, {21, 274}, {8, 261}, {10, 263}, {24, 277},
{26, 279}, {9, 262}, {25, 278}, {16, 269}, {18, 271}, {17, 270}, {44, 256}, {63,
275}, {62, 274}, {61, 273}, {60, 272}, {47, 259}, {46, 258}, {45, 257}, {48,
260}, {59, 271}, {58, 270}, {57, 269}, {56, 268}, {51, 263}, {50, 262}, {49,
261}, {52, 264}, {55, 267}, {54, 266}, {53, 265}, {64, 276}, {67, 279}, {66,
278}, {65, 277}, {95, 256}, {96, 257}, {98, 259}, {100, 261}, {102, 263}, {104,
265}, {106, 267}, {108, 269}, {110, 271}, {112, 273}, {114, 275}, {116, 277},
{118, 279}, {97, 258}, {101, 262}, {105, 266}, {109, 270}, {113, 274}, {117,
278}, {99, 260}, {107, 268}, {115, 276}, {103, 264}, {111, 272}, {138, 256},
{159, 277}, {158, 276}, {155, 273}, {154, 272}, {139, 257}, {142, 260}, {143,
261}, {140, 258}, {157, 275}, {156, 274}, {141, 259}, {144, 262}, {153, 271},
{152, 270}, {145, 263}, {146, 264}, {151, 269}, {147, 265}, {150, 268}, {148,
266}, {149, 267}, {160, 278}, {161, 279} }>;
(II) A more general form is to represent the graph as the orbit of {93, 94}
under the group generated by the following permutations:
a: (2, 93)(3, 92)(4, 91)(5, 90)(6, 89)(7, 88)(8, 87)(9, 86)(10, 85)(11, 84)(12,
83)(13, 82)(14, 81)(15, 80)(16, 79)(17, 78)(18, 77)(19, 76)(20, 75)(21, 74)(22,
73)(23, 72)(24, 71)(25, 70)(26, 69)(27, 68)(28, 67)(29, 66)(30, 65)(31, 64)(32,
63)(33, 62)(34, 61)(35, 60)(36, 59)(37, 58)(38, 57)(39, 56)(40, 55)(41, 54)(42,
53)(43, 52)(44, 51)(45, 50)(46, 49)(47, 48)(95, 186)(96, 185)(97, 184)(98,
183)(99, 182)(100, 181)(101, 180)(102, 179)(103, 178)(104, 177)(105, 176)(106,
175)(107, 174)(108, 173)(109, 172)(110, 171)(111, 170)(112, 169)(113, 168)(114,
167)(115, 166)(116, 165)(117, 164)(118, 163)(119, 162)(120, 161)(121, 160)(122,
159)(123, 158)(124, 157)(125, 156)(126, 155)(127, 154)(128, 153)(129, 152)(130,
151)(131, 150)(132, 149)(133, 148)(134, 147)(135, 146)(136, 145)(137, 144)(138,
143)(139, 142)(140, 141)(188, 279)(189, 278)(190, 277)(191, 276)(192, 275)(193,
274)(194, 273)(195, 272)(196, 271)(197, 270)(198, 269)(199, 268)(200, 267)(201,
266)(202, 265)(203, 264)(204, 263)(205, 262)(206, 261)(207, 260)(208, 259)(209,
258)(210, 257)(211, 256)(212, 255)(213, 254)(214, 253)(215, 252)(216, 251)(217,
250)(218, 249)(219, 248)(220, 247)(221, 246)(222, 245)(223, 244)(224, 243)(225,
242)(226, 241)(227, 240)(228, 239)(229, 238)(230, 237)(231, 236)(232, 235)(233,
234) (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, 94, 187)(2, 119, 254)(3, 144, 228)(4, 169, 202)(5, 101, 269)(6, 126,
243)(7, 151, 217)(8, 176, 191)(9, 108, 258)(10, 133, 232)(11, 158, 206)(12, 183,
273)(13, 115, 247)(14, 140, 221)(15, 165, 195)(16, 97, 262)(17, 122, 236)(18,
147, 210)(19, 172, 277)(20, 104, 251)(21, 129, 225)(22, 154, 199)(23, 179,
266)(24, 111, 240)(25, 136, 214)(26, 161, 188)(27, 186, 255)(28, 118, 229)(29,
143, 203)(30, 168, 270)(31, 100, 244)(32, 125, 218)(33, 150, 192)(34, 175,
259)(35, 107, 233)(36, 132, 207)(37, 157, 274)(38, 182, 248)(39, 114, 222)(40,
139, 196)(41, 164, 263)(42, 96, 237)(43, 121, 211)(44, 146, 278)(45, 171,
252)(46, 103, 226)(47, 128, 200)(48, 153, 267)(49, 178, 241)(50, 110, 215)(51,
135, 189)(52, 160, 256)(53, 185, 230)(54, 117, 204)(55, 142, 271)(56, 167,
245)(57, 99, 219)(58, 124, 193)(59, 149, 260)(60, 174, 234)(61, 106, 208)(62,
131, 275)(63, 156, 249)(64, 181, 223)(65, 113, 197)(66, 138, 264)(67, 163,
238)(68, 95, 212)(69, 120, 279)(70, 145, 253)(71, 170, 227)(72, 102, 201)(73,
127, 268)(74, 152, 242)(75, 177, 216)(76, 109, 190)(77, 134, 257)(78, 159,
231)(79, 184, 205)(80, 116, 272)(81, 141, 246)(82, 166, 220)(83, 98, 194)(84,
123, 261)(85, 148, 235)(86, 173, 209)(87, 105, 276)(88, 130, 250)(89, 155,
224)(90, 180, 198)(91, 112, 265)(92, 137, 239)(93, 162, 213)
c: (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, 274, 275, 276,
277, 278, 279)
C4[ 279, 4 ]
279
-1 254 213 95 186
-2 255 214 94 96
-3 256 215 95 97
-4 257 216 96 98
-5 99 258 217 97
-6 100 259 218 98
-7 99 101 260 219
-8 220 100 102 261
-9 221 101 103 262
-10 222 102 104 263
-11 264 223 103 105
-12 265 224 104 106
-13 266 225 105 107
-14 267 226 106 108
-15 268 227 107 109
-16 110 269 228 108
-17 111 270 229 109
-18 110 112 271 230
-19 231 111 113 272
-20 232 112 114 273
-21 233 113 115 274
-22 275 234 114 116
-23 276 235 115 117
-24 277 236 116 118
-25 278 237 117 119
-26 279 238 118 120
-27 121 187 239 119
-28 122 188 240 120
-29 121 123 189 241
-30 242 122 124 190
-31 243 123 125 191
-32 244 124 126 192
-33 245 125 127 193
-34 246 126 128 194
-35 247 127 129 195
-36 248 128 130 196
-37 249 129 131 197
-38 132 198 250 130
-39 133 199 251 131
-40 132 134 200 252
-41 253 133 135 201
-42 254 134 136 202
-43 255 135 137 203
-44 256 136 138 204
-45 257 137 139 205
-46 258 138 140 206
-47 259 139 141 207
-48 260 140 142 208
-49 143 209 261 141
-50 144 210 262 142
-51 143 145 211 263
-52 264 144 146 212
-53 265 145 147 213
-54 266 146 148 214
-55 267 147 149 215
-56 268 148 150 216
-57 269 149 151 217
-58 270 150 152 218
-59 271 151 153 219
-60 154 220 272 152
-61 155 221 273 153
-62 154 156 222 274
-63 275 155 157 223
-64 276 156 158 224
-65 277 157 159 225
-66 278 158 160 226
-67 279 159 161 227
-68 187 160 162 228
-69 188 161 163 229
-70 189 162 164 230
-71 165 231 190 163
-72 166 232 191 164
-73 165 167 233 192
-74 166 168 234 193
-75 167 169 235 194
-76 168 170 236 195
-77 169 171 237 196
-78 170 172 238 197
-79 198 171 173 239
-80 199 172 174 240
-81 200 173 175 241
-82 176 242 201 174
-83 177 243 202 175
-84 176 178 244 203
-85 177 179 245 204
-86 178 180 246 205
-87 179 181 247 206
-88 180 182 248 207
-89 181 183 249 208
-90 209 182 184 250
-91 210 183 185 251
-92 211 184 186 252
-93 253 212 94 185
-94 2 255 212 93
-95 1 3 256 213
-96 2 4 257 214
-97 3 5 258 215
-98 4 6 259 216
-99 5 7 260 217
-100 6 8 261 218
-101 7 9 262 219
-102 220 8 10 263
-103 11 264 221 9
-104 12 265 222 10
-105 11 13 266 223
-106 12 14 267 224
-107 13 15 268 225
-108 14 16 269 226
-109 15 17 270 227
-110 16 18 271 228
-111 17 19 272 229
-112 18 20 273 230
-113 231 19 21 274
-114 22 275 232 20
-115 23 276 233 21
-116 22 24 277 234
-117 23 25 278 235
-118 24 26 279 236
-119 187 25 27 237
-120 188 26 28 238
-121 189 27 29 239
-122 190 28 30 240
-123 191 29 31 241
-124 242 192 30 32
-125 33 243 193 31
-126 34 244 194 32
-127 33 35 245 195
-128 34 36 246 196
-129 35 37 247 197
-130 198 36 38 248
-131 199 37 39 249
-132 200 38 40 250
-133 201 39 41 251
-134 202 40 42 252
-135 253 203 41 43
-136 44 254 204 42
-137 45 255 205 43
-138 44 46 256 206
-139 45 47 257 207
-140 46 48 258 208
-141 209 47 49 259
-142 210 48 50 260
-143 211 49 51 261
-144 212 50 52 262
-145 213 51 53 263
-146 264 214 52 54
-147 55 265 215 53
-148 56 266 216 54
-149 55 57 267 217
-150 56 58 268 218
-151 57 59 269 219
-152 220 58 60 270
-153 221 59 61 271
-154 222 60 62 272
-155 223 61 63 273
-156 224 62 64 274
-157 275 225 63 65
-158 66 276 226 64
-159 67 277 227 65
-160 66 68 278 228
-161 67 69 279 229
-162 187 68 70 230
-163 231 188 69 71
-164 232 189 70 72
-165 233 190 71 73
-166 234 191 72 74
-167 235 192 73 75
-168 236 193 74 76
-169 77 237 194 75
-170 78 238 195 76
-171 77 79 239 196
-172 78 80 240 197
-173 198 79 81 241
-174 242 199 80 82
-175 243 200 81 83
-176 244 201 82 84
-177 245 202 83 85
-178 246 203 84 86
-179 247 204 85 87
-180 88 248 205 86
-181 89 249 206 87
-182 88 90 250 207
-183 89 91 251 208
-184 209 90 92 252
-185 253 210 91 93
-186 1 254 211 92
-187 68 27 162 119
-188 69 28 163 120
-189 121 70 29 164
-190 165 122 71 30
-191 166 123 72 31
-192 167 124 73 32
-193 33 168 125 74
-194 34 169 126 75
-195 35 170 127 76
-196 77 36 171 128
-197 78 37 172 129
-198 79 38 173 130
-199 80 39 174 131
-200 132 81 40 175
-201 176 133 82 41
-202 177 134 83 42
-203 178 135 84 43
-204 44 179 136 85
-205 45 180 137 86
-206 46 181 138 87
-207 88 47 182 139
-208 89 48 183 140
-209 90 49 184 141
-210 91 50 185 142
-211 143 92 51 186
-212 144 93 94 52
-213 1 145 95 53
-214 2 146 96 54
-215 55 3 147 97
-216 56 4 148 98
-217 99 57 5 149
-218 100 58 6 150
-219 101 59 7 151
-220 102 60 8 152
-221 103 61 9 153
-222 154 104 62 10
-223 11 155 105 63
-224 12 156 106 64
-225 13 157 107 65
-226 66 14 158 108
-227 67 15 159 109
-228 110 68 16 160
-229 111 69 17 161
-230 112 70 18 162
-231 113 71 19 163
-232 114 72 20 164
-233 165 115 73 21
-234 22 166 116 74
-235 23 167 117 75
-236 24 168 118 76
-237 77 25 169 119
-238 78 26 170 120
-239 121 79 27 171
-240 122 80 28 172
-241 123 81 29 173
-242 124 82 30 174
-243 125 83 31 175
-244 176 126 84 32
-245 33 177 127 85
-246 34 178 128 86
-247 35 179 129 87
-248 88 36 180 130
-249 89 37 181 131
-250 132 90 38 182
-251 133 91 39 183
-252 134 92 40 184
-253 135 93 41 185
-254 1 136 42 186
-255 2 137 94 43
-256 44 3 138 95
-257 45 4 139 96
-258 46 5 140 97
-259 47 6 141 98
-260 99 48 7 142
-261 143 100 49 8
-262 144 101 50 9
-263 145 102 51 10
-264 11 146 103 52
-265 12 147 104 53
-266 13 148 105 54
-267 55 14 149 106
-268 56 15 150 107
-269 57 16 151 108
-270 58 17 152 109
-271 110 59 18 153
-272 154 111 60 19
-273 155 112 61 20
-274 156 113 62 21
-275 22 157 114 63
-276 23 158 115 64
-277 24 159 116 65
-278 66 25 160 117
-279 67 26 161 118
0