Graph forms
for C4 [ 285, 5 ] = PS(3,95;11)
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On this page are computer-accessible forms for the graph C4[ 285, 5 ] =
PS(3,95;11).
(I) Following is a form readable by MAGMA:
g:=Graph<285|{ {180, 191}, {95, 96}, {128, 212}, {171, 255}, {170, 254}, {169,
253}, {168, 252}, {163, 247}, {162, 246}, {161, 245}, {160, 244}, {129, 213},
{130, 214}, {131, 215}, {136, 220}, {137, 221}, {138, 222}, {139, 223}, {132,
216}, {167, 251}, {166, 250}, {165, 249}, {164, 248}, {133, 217}, {134, 218},
{135, 219}, {32, 126}, {33, 127}, {1, 97}, {2, 98}, {3, 99}, {4, 100}, {5, 101},
{6, 102}, {7, 103}, {8, 104}, {9, 105}, {10, 106}, {11, 107}, {12, 108}, {13,
109}, {14, 110}, {15, 111}, {16, 112}, {17, 113}, {18, 114}, {19, 115}, {20,
116}, {21, 117}, {22, 118}, {23, 119}, {24, 120}, {25, 121}, {26, 122}, {27,
123}, {28, 124}, {29, 125}, {30, 126}, {31, 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, 98}, {5, 99},
{12, 106}, {13, 107}, {20, 114}, {21, 115}, {28, 122}, {29, 123}, {128, 234},
{149, 255}, {148, 254}, {145, 251}, {144, 250}, {129, 235}, {132, 238}, {133,
239}, {140, 224}, {159, 243}, {158, 242}, {157, 241}, {156, 240}, {143, 227},
{141, 225}, {142, 226}, {8, 102}, {147, 253}, {146, 252}, {9, 103}, {24, 118},
{25, 119}, {130, 236}, {131, 237}, {144, 228}, {155, 239}, {154, 238}, {153,
237}, {152, 236}, {147, 231}, {146, 230}, {145, 229}, {181, 192}, {189, 200},
{183, 194}, {134, 240}, {143, 249}, {135, 241}, {142, 248}, {182, 193}, {190,
201}, {136, 242}, {137, 243}, {140, 246}, {141, 247}, {184, 195}, {188, 199},
{148, 232}, {151, 235}, {150, 234}, {149, 233}, {185, 196}, {187, 198}, {16,
110}, {17, 111}, {138, 244}, {139, 245}, {186, 197}, {71, 192}, {79, 200}, {87,
208}, {95, 216}, {72, 193}, {74, 195}, {76, 197}, {78, 199}, {88, 209}, {90,
211}, {92, 213}, {94, 215}, {73, 194}, {77, 198}, {89, 210}, {93, 214}, {75,
196}, {91, 212}, {118, 224}, {119, 225}, {126, 232}, {127, 233}, {80, 201}, {82,
203}, {84, 205}, {86, 207}, {120, 226}, {121, 227}, {124, 230}, {125, 231}, {81,
202}, {85, 206}, {122, 228}, {123, 229}, {83, 204}, {32, 128}, {63, 159}, {62,
158}, {61, 157}, {60, 156}, {59, 155}, {58, 154}, {57, 153}, {56, 152}, {55,
151}, {54, 150}, {53, 149}, {52, 148}, {51, 147}, {50, 146}, {49, 145}, {48,
144}, {47, 143}, {46, 142}, {45, 141}, {44, 140}, {43, 139}, {42, 138}, {41,
137}, {40, 136}, {33, 129}, {34, 130}, {35, 131}, {36, 132}, {37, 133}, {38,
134}, {39, 135}, {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}, {27, 191}, {66, 230}, {65, 229}, {64,
228}, {67, 231}, {72, 236}, {73, 237}, {74, 238}, {75, 239}, {80, 244}, {81,
245}, {82, 246}, {83, 247}, {88, 252}, {89, 253}, {90, 254}, {91, 255}, {36,
130}, {61, 155}, {60, 154}, {53, 147}, {52, 146}, {45, 139}, {44, 138}, {37,
131}, {96, 202}, {97, 203}, {100, 206}, {101, 207}, {112, 218}, {113, 219},
{116, 222}, {117, 223}, {68, 232}, {69, 233}, {70, 234}, {71, 235}, {84, 248},
{85, 249}, {86, 250}, {87, 251}, {108, 192}, {109, 193}, {110, 194}, {111, 195},
{124, 208}, {125, 209}, {126, 210}, {127, 211}, {40, 134}, {57, 151}, {56, 150},
{41, 135}, {98, 204}, {99, 205}, {114, 220}, {115, 221}, {112, 196}, {113, 197},
{114, 198}, {115, 199}, {120, 204}, {121, 205}, {122, 206}, {123, 207}, {102,
208}, {103, 209}, {110, 216}, {111, 217}, {104, 210}, {105, 211}, {108, 214},
{109, 215}, {76, 240}, {77, 241}, {78, 242}, {79, 243}, {116, 200}, {117, 201},
{118, 202}, {119, 203}, {48, 142}, {49, 143}, {106, 212}, {107, 213}, {1, 190},
{107, 191}, {1, 217}, {39, 255}, {2, 218}, {3, 219}, {4, 220}, {5, 221}, {6,
222}, {7, 223}, {32, 248}, {33, 249}, {34, 250}, {35, 251}, {36, 252}, {37,
253}, {38, 254}, {28, 192}, {63, 227}, {62, 226}, {61, 225}, {60, 224}, {29,
193}, {30, 194}, {31, 195}, {64, 158}, {65, 159}, {64, 160}, {66, 162}, {65,
161}, {67, 163}, {68, 164}, {69, 165}, {70, 166}, {71, 167}, {72, 168}, {73,
169}, {74, 170}, {75, 171}, {76, 172}, {77, 173}, {78, 174}, {79, 175}, {80,
176}, {81, 177}, {82, 178}, {83, 179}, {84, 180}, {85, 181}, {86, 182}, {87,
183}, {88, 184}, {89, 185}, {90, 186}, {91, 187}, {92, 188}, {93, 189}, {94,
190}, {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}, {94, 188}, {95, 189}, {32, 196}, {59, 223}, {58, 222}, {57, 221}, {56,
220}, {51, 215}, {50, 214}, {49, 213}, {48, 212}, {43, 207}, {42, 206}, {41,
205}, {40, 204}, {33, 197}, {34, 198}, {35, 199}, {68, 162}, {69, 163}, {76,
170}, {77, 171}, {84, 178}, {85, 179}, {92, 186}, {93, 187}, {8, 224}, {9, 225},
{10, 226}, {11, 227}, {12, 228}, {13, 229}, {14, 230}, {15, 231}, {24, 240},
{25, 241}, {26, 242}, {27, 243}, {28, 244}, {29, 245}, {30, 246}, {31, 247},
{36, 200}, {55, 219}, {54, 218}, {53, 217}, {52, 216}, {39, 203}, {37, 201},
{38, 202}, {72, 166}, {73, 167}, {88, 182}, {89, 183}, {16, 232}, {17, 233},
{18, 234}, {19, 235}, {20, 236}, {21, 237}, {22, 238}, {23, 239}, {70, 191},
{44, 208}, {47, 211}, {46, 210}, {45, 209}, {80, 174}, {81, 175}, {4, 263}, {8,
267}, {12, 271}, {16, 275}, {20, 279}, {24, 283}, {1, 260}, {3, 262}, {9, 268},
{11, 270}, {17, 276}, {19, 278}, {25, 284}, {2, 261}, {10, 269}, {18, 277}, {26,
285}, {5, 264}, {7, 266}, {21, 280}, {23, 282}, {6, 265}, {22, 281}, {13, 272},
{15, 274}, {14, 273}, {40, 256}, {63, 279}, {62, 278}, {61, 277}, {60, 276},
{59, 275}, {58, 274}, {57, 273}, {56, 272}, {47, 263}, {46, 262}, {45, 261},
{44, 260}, {43, 259}, {42, 258}, {41, 257}, {48, 264}, {55, 271}, {54, 270},
{53, 269}, {52, 268}, {51, 267}, {50, 266}, {49, 265}, {64, 280}, {65, 281},
{66, 282}, {67, 283}, {68, 284}, {69, 285}, {92, 256}, {93, 257}, {94, 258},
{95, 259}, {96, 275}, {100, 279}, {104, 283}, {97, 276}, {99, 278}, {105, 284},
{98, 277}, {106, 285}, {101, 280}, {103, 282}, {102, 281}, {150, 256}, {159,
265}, {158, 264}, {151, 257}, {152, 258}, {157, 263}, {156, 262}, {153, 259},
{154, 260}, {155, 261}, {160, 266}, {177, 283}, {176, 282}, {165, 271}, {164,
270}, {161, 267}, {172, 256}, {190, 274}, {189, 273}, {188, 272}, {175, 259},
{174, 258}, {173, 257}, {162, 268}, {179, 285}, {178, 284}, {163, 269}, {176,
260}, {187, 271}, {186, 270}, {185, 269}, {184, 268}, {179, 263}, {178, 262},
{177, 261}, {166, 272}, {175, 281}, {174, 280}, {167, 273}, {168, 274}, {173,
279}, {172, 278}, {169, 275}, {180, 264}, {183, 267}, {182, 266}, {181, 265},
{170, 276}, {171, 277} }>;
(II) A more general form is to represent the graph as the orbit of {180, 191}
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, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285) (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, 96, 191)(2, 107, 217)(3, 118, 243)(4, 129, 269)(5, 140, 200)(6, 151,
226)(7, 162, 252)(8, 173, 278)(9, 184, 209)(10, 100, 235)(11, 111, 261)(12, 122,
192)(13, 133, 218)(14, 144, 244)(15, 155, 270)(16, 166, 201)(17, 177, 227)(18,
188, 253)(19, 104, 279)(20, 115, 210)(21, 126, 236)(22, 137, 262)(23, 148,
193)(24, 159, 219)(25, 170, 245)(26, 181, 271)(27, 97, 202)(28, 108, 228)(29,
119, 254)(30, 130, 280)(31, 141, 211)(32, 152, 237)(33, 163, 263)(34, 174,
194)(35, 185, 220)(36, 101, 246)(37, 112, 272)(38, 123, 203)(39, 134, 229)(40,
145, 255)(41, 156, 281)(42, 167, 212)(43, 178, 238)(44, 189, 264)(45, 105,
195)(46, 116, 221)(47, 127, 247)(48, 138, 273)(49, 149, 204)(50, 160, 230)(51,
171, 256)(52, 182, 282)(53, 98, 213)(54, 109, 239)(55, 120, 265)(56, 131,
196)(57, 142, 222)(58, 153, 248)(59, 164, 274)(60, 175, 205)(61, 186, 231)(62,
102, 257)(63, 113, 283)(64, 124, 214)(65, 135, 240)(66, 146, 266)(67, 157,
197)(68, 168, 223)(69, 179, 249)(70, 190, 275)(71, 106, 206)(72, 117, 232)(73,
128, 258)(74, 139, 284)(75, 150, 215)(76, 161, 241)(77, 172, 267)(78, 183,
198)(79, 99, 224)(80, 110, 250)(81, 121, 276)(82, 132, 207)(83, 143, 233)(84,
154, 259)(85, 165, 285)(86, 176, 216)(87, 187, 242)(88, 103, 268)(89, 114,
199)(90, 125, 225)(91, 136, 251)(92, 147, 277)(93, 158, 208)(94, 169, 234)(95,
180, 260)
c: (2, 95)(3, 94)(4, 93)(5, 92)(6, 91)(7, 90)(8, 89)(9, 88)(10, 87)(11, 86)(12,
85)(13, 84)(14, 83)(15, 82)(16, 81)(17, 80)(18, 79)(19, 78)(20, 77)(21, 76)(22,
75)(23, 74)(24, 73)(25, 72)(26, 71)(27, 70)(28, 69)(29, 68)(30, 67)(31, 66)(32,
65)(33, 64)(34, 63)(35, 62)(36, 61)(37, 60)(38, 59)(39, 58)(40, 57)(41, 56)(42,
55)(43, 54)(44, 53)(45, 52)(46, 51)(47, 50)(48, 49)(97, 190)(98, 189)(99,
188)(100, 187)(101, 186)(102, 185)(103, 184)(104, 183)(105, 182)(106, 181)(107,
180)(108, 179)(109, 178)(110, 177)(111, 176)(112, 175)(113, 174)(114, 173)(115,
172)(116, 171)(117, 170)(118, 169)(119, 168)(120, 167)(121, 166)(122, 165)(123,
164)(124, 163)(125, 162)(126, 161)(127, 160)(128, 159)(129, 158)(130, 157)(131,
156)(132, 155)(133, 154)(134, 153)(135, 152)(136, 151)(137, 150)(138, 149)(139,
148)(140, 147)(141, 146)(142, 145)(143, 144)(192, 285)(193, 284)(194, 283)(195,
282)(196, 281)(197, 280)(198, 279)(199, 278)(200, 277)(201, 276)(202, 275)(203,
274)(204, 273)(205, 272)(206, 271)(207, 270)(208, 269)(209, 268)(210, 267)(211,
266)(212, 265)(213, 264)(214, 263)(215, 262)(216, 261)(217, 260)(218, 259)(219,
258)(220, 257)(221, 256)(222, 255)(223, 254)(224, 253)(225, 252)(226, 251)(227,
250)(228, 249)(229, 248)(230, 247)(231, 246)(232, 245)(233, 244)(234, 243)(235,
242)(236, 241)(237, 240)(238, 239)
C4[ 285, 5 ]
285
-1 190 260 217 97
-2 96 261 218 98
-3 99 97 262 219
-4 220 100 98 263
-5 99 264 221 101
-6 100 265 222 102
-7 101 266 223 103
-8 102 267 224 104
-9 103 268 225 105
-10 104 269 226 106
-11 105 270 227 107
-12 106 271 228 108
-13 107 272 229 109
-14 110 108 273 230
-15 231 111 109 274
-16 110 275 232 112
-17 111 276 233 113
-18 112 277 234 114
-19 113 278 235 115
-20 114 279 236 116
-21 115 280 237 117
-22 116 281 238 118
-23 117 282 239 119
-24 118 283 240 120
-25 121 119 284 241
-26 242 122 120 285
-27 121 243 123 191
-28 122 244 124 192
-29 123 245 125 193
-30 124 246 126 194
-31 125 247 127 195
-32 126 248 128 196
-33 127 249 129 197
-34 198 128 250 130
-35 199 129 251 131
-36 132 200 130 252
-37 253 133 201 131
-38 132 254 134 202
-39 133 255 135 203
-40 134 256 136 204
-41 135 257 137 205
-42 136 258 138 206
-43 137 259 139 207
-44 138 260 140 208
-45 209 139 261 141
-46 210 140 262 142
-47 143 211 141 263
-48 264 144 212 142
-49 143 265 145 213
-50 144 266 146 214
-51 145 267 147 215
-52 146 268 148 216
-53 147 269 149 217
-54 148 270 150 218
-55 149 271 151 219
-56 220 150 272 152
-57 221 151 273 153
-58 154 222 152 274
-59 275 155 223 153
-60 154 276 156 224
-61 155 277 157 225
-62 156 278 158 226
-63 157 279 159 227
-64 158 280 160 228
-65 159 281 161 229
-66 160 282 162 230
-67 231 161 283 163
-68 232 162 284 164
-69 165 233 163 285
-70 166 234 191 164
-71 165 167 235 192
-72 166 168 236 193
-73 167 169 237 194
-74 168 170 238 195
-75 169 171 239 196
-76 170 172 240 197
-77 198 171 173 241
-78 242 199 172 174
-79 243 200 173 175
-80 176 244 201 174
-81 177 245 202 175
-82 176 178 246 203
-83 177 179 247 204
-84 178 180 248 205
-85 179 181 249 206
-86 180 182 250 207
-87 181 183 251 208
-88 209 182 184 252
-89 253 210 183 185
-90 254 211 184 186
-91 187 255 212 185
-92 188 256 213 186
-93 187 189 257 214
-94 188 190 258 215
-95 189 259 216 96
-96 275 2 202 95
-97 1 276 3 203
-98 2 277 4 204
-99 3 278 5 205
-100 4 279 6 206
-101 5 280 7 207
-102 6 281 8 208
-103 209 7 282 9
-104 210 8 283 10
-105 11 211 9 284
-106 12 212 10 285
-107 11 13 191 213
-108 12 14 192 214
-109 13 15 193 215
-110 14 16 194 216
-111 15 17 195 217
-112 16 18 196 218
-113 17 19 197 219
-114 198 220 18 20
-115 199 221 19 21
-116 22 200 222 20
-117 23 201 223 21
-118 22 24 202 224
-119 23 25 203 225
-120 24 26 204 226
-121 25 27 205 227
-122 26 28 206 228
-123 27 29 207 229
-124 28 30 208 230
-125 209 231 29 31
-126 210 232 30 32
-127 33 211 233 31
-128 34 212 234 32
-129 33 35 213 235
-130 34 36 214 236
-131 35 37 215 237
-132 36 38 216 238
-133 37 39 217 239
-134 38 40 218 240
-135 39 41 219 241
-136 220 242 40 42
-137 221 243 41 43
-138 44 222 244 42
-139 45 223 245 43
-140 44 46 224 246
-141 45 47 225 247
-142 46 48 226 248
-143 47 49 227 249
-144 48 50 228 250
-145 49 51 229 251
-146 50 52 230 252
-147 231 253 51 53
-148 232 254 52 54
-149 55 233 255 53
-150 56 234 256 54
-151 55 57 235 257
-152 56 58 236 258
-153 57 59 237 259
-154 58 60 238 260
-155 59 61 239 261
-156 60 62 240 262
-157 61 63 241 263
-158 242 264 62 64
-159 243 265 63 65
-160 66 244 266 64
-161 67 245 267 65
-162 66 68 246 268
-163 67 69 247 269
-164 68 70 248 270
-165 69 71 249 271
-166 70 72 250 272
-167 71 73 251 273
-168 72 74 252 274
-169 253 275 73 75
-170 254 276 74 76
-171 77 255 277 75
-172 78 256 278 76
-173 77 79 257 279
-174 78 80 258 280
-175 79 81 259 281
-176 80 82 260 282
-177 81 83 261 283
-178 82 84 262 284
-179 83 85 263 285
-180 264 191 84 86
-181 265 192 85 87
-182 88 266 193 86
-183 89 267 194 87
-184 88 90 268 195
-185 89 91 269 196
-186 90 92 270 197
-187 198 91 93 271
-188 199 92 94 272
-189 200 93 95 273
-190 1 201 94 274
-191 70 180 27 107
-192 71 181 28 108
-193 72 182 29 109
-194 110 73 183 30
-195 111 74 184 31
-196 112 75 185 32
-197 33 113 76 186
-198 77 187 34 114
-199 78 188 35 115
-200 79 189 36 116
-201 80 190 37 117
-202 81 38 96 118
-203 82 39 97 119
-204 83 40 98 120
-205 99 121 84 41
-206 100 122 85 42
-207 101 123 86 43
-208 44 102 124 87
-209 88 45 103 125
-210 89 46 104 126
-211 90 47 105 127
-212 91 48 106 128
-213 92 49 107 129
-214 93 50 108 130
-215 94 51 109 131
-216 110 132 95 52
-217 1 111 133 53
-218 2 112 134 54
-219 55 3 113 135
-220 56 4 114 136
-221 57 5 115 137
-222 58 6 116 138
-223 59 7 117 139
-224 60 8 118 140
-225 61 9 119 141
-226 62 10 120 142
-227 11 121 143 63
-228 12 122 144 64
-229 13 123 145 65
-230 66 14 124 146
-231 67 15 125 147
-232 68 16 126 148
-233 69 17 127 149
-234 70 18 128 150
-235 71 19 129 151
-236 72 20 130 152
-237 73 21 131 153
-238 22 132 154 74
-239 23 133 155 75
-240 24 134 156 76
-241 77 25 135 157
-242 78 26 136 158
-243 79 27 137 159
-244 80 28 138 160
-245 81 29 139 161
-246 82 30 140 162
-247 83 31 141 163
-248 84 32 142 164
-249 33 143 165 85
-250 34 144 166 86
-251 35 145 167 87
-252 88 36 146 168
-253 89 37 147 169
-254 90 38 148 170
-255 91 39 149 171
-256 92 40 150 172
-257 93 41 151 173
-258 94 42 152 174
-259 95 43 153 175
-260 44 154 176 1
-261 45 155 177 2
-262 46 156 178 3
-263 47 157 179 4
-264 48 158 180 5
-265 49 159 181 6
-266 50 160 182 7
-267 51 161 183 8
-268 52 162 184 9
-269 53 163 185 10
-270 11 54 164 186
-271 55 165 187 12
-272 56 166 188 13
-273 57 167 189 14
-274 58 168 190 15
-275 59 169 16 96
-276 60 170 17 97
-277 61 171 18 98
-278 99 62 172 19
-279 100 63 173 20
-280 101 64 174 21
-281 22 102 65 175
-282 66 176 23 103
-283 67 177 24 104
-284 68 178 25 105
-285 69 179 26 106
0