Graph forms
for C4 [ 291, 2 ] = PS(3,97;35)
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On this page are computer-accessible forms for the graph C4[ 291, 2 ] =
PS(3,97;35).
(I) Following is a form readable by MAGMA:
g:=Graph<291|{ {97, 98}, {192, 227}, {193, 228}, {194, 229}, {192, 254}, {193,
255}, {134, 196}, {191, 253}, {190, 252}, {187, 249}, {186, 248}, {183, 245},
{182, 244}, {179, 241}, {178, 240}, {175, 237}, {174, 236}, {171, 233}, {170,
232}, {167, 229}, {166, 228}, {163, 225}, {162, 224}, {159, 221}, {158, 220},
{155, 217}, {154, 216}, {151, 213}, {150, 212}, {147, 209}, {146, 208}, {143,
205}, {142, 204}, {135, 197}, {138, 200}, {139, 201}, {133, 195}, {189, 251},
{188, 250}, {181, 243}, {180, 242}, {173, 235}, {172, 234}, {165, 227}, {164,
226}, {157, 219}, {156, 218}, {149, 211}, {148, 210}, {141, 203}, {140, 202},
{136, 198}, {185, 247}, {184, 246}, {169, 231}, {168, 230}, {153, 215}, {152,
214}, {137, 199}, {189, 224}, {191, 226}, {144, 206}, {177, 239}, {176, 238},
{145, 207}, {190, 225}, {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}, {1, 99}, {4, 102}, {5, 103}, {8, 106}, {9,
107}, {12, 110}, {13, 111}, {16, 114}, {17, 115}, {20, 118}, {21, 119}, {24,
122}, {25, 123}, {28, 126}, {29, 127}, {160, 195}, {188, 223}, {184, 219}, {180,
215}, {176, 211}, {172, 207}, {168, 203}, {164, 199}, {161, 196}, {187, 222},
{185, 220}, {179, 214}, {177, 212}, {171, 206}, {169, 204}, {163, 198}, {2,
100}, {3, 101}, {10, 108}, {11, 109}, {18, 116}, {19, 117}, {26, 124}, {27,
125}, {162, 197}, {186, 221}, {178, 213}, {170, 205}, {165, 200}, {183, 218},
{181, 216}, {167, 202}, {6, 104}, {7, 105}, {22, 120}, {23, 121}, {166, 201},
{182, 217}, {173, 208}, {175, 210}, {14, 112}, {161, 223}, {160, 222}, {15,
113}, {174, 209}, {98, 230}, {99, 231}, {104, 236}, {105, 237}, {106, 238},
{107, 239}, {112, 244}, {113, 245}, {114, 246}, {115, 247}, {120, 252}, {121,
253}, {122, 254}, {123, 255}, {64, 197}, {66, 199}, {72, 205}, {74, 207}, {80,
213}, {82, 215}, {88, 221}, {90, 223}, {96, 229}, {65, 198}, {73, 206}, {81,
214}, {89, 222}, {97, 230}, {67, 200}, {71, 204}, {83, 216}, {87, 220}, {100,
232}, {101, 233}, {102, 234}, {103, 235}, {116, 248}, {117, 249}, {118, 250},
{119, 251}, {68, 201}, {70, 203}, {84, 217}, {86, 219}, {69, 202}, {85, 218},
{75, 208}, {79, 212}, {108, 240}, {109, 241}, {110, 242}, {111, 243}, {76, 209},
{78, 211}, {30, 128}, {65, 223}, {64, 222}, {63, 161}, {62, 160}, {31, 129},
{94, 192}, {95, 193}, {96, 254}, {97, 255}, {77, 210}, {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}, {33, 129}, {34, 130}, {35, 131}, {36, 132}, {37, 133}, {38, 134},
{39, 135}, {40, 136}, {96, 192}, {97, 193}, {32, 130}, {66, 224}, {61, 159},
{60, 158}, {57, 155}, {56, 154}, {53, 151}, {52, 150}, {49, 147}, {48, 146},
{45, 143}, {44, 142}, {41, 139}, {33, 131}, {36, 134}, {37, 135}, {40, 138},
{67, 225}, {70, 228}, {71, 229}, {74, 232}, {75, 233}, {78, 236}, {79, 237},
{82, 240}, {83, 241}, {86, 244}, {87, 245}, {90, 248}, {91, 249}, {94, 252},
{95, 253}, {96, 194}, {34, 132}, {59, 157}, {58, 156}, {51, 149}, {50, 148},
{43, 141}, {42, 140}, {35, 133}, {68, 226}, {69, 227}, {76, 234}, {77, 235},
{84, 242}, {85, 243}, {92, 250}, {93, 251}, {38, 136}, {55, 153}, {54, 152},
{39, 137}, {72, 230}, {73, 231}, {88, 246}, {89, 247}, {91, 224}, {95, 228},
{92, 225}, {94, 227}, {46, 144}, {47, 145}, {80, 238}, {81, 239}, {93, 226}, {1,
194}, {64, 160}, {67, 163}, {66, 162}, {65, 161}, {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}, {95, 191}, {38, 196}, {65, 163}, {64,
162}, {63, 221}, {62, 220}, {59, 217}, {58, 216}, {55, 213}, {54, 212}, {51,
209}, {50, 208}, {47, 205}, {46, 204}, {43, 201}, {42, 200}, {39, 197}, {68,
166}, {69, 167}, {72, 170}, {73, 171}, {76, 174}, {77, 175}, {80, 178}, {81,
179}, {84, 182}, {85, 183}, {88, 186}, {89, 187}, {92, 190}, {93, 191}, {1,
231}, {67, 165}, {66, 164}, {61, 219}, {60, 218}, {53, 211}, {52, 210}, {45,
203}, {44, 202}, {8, 238}, {9, 239}, {16, 246}, {17, 247}, {24, 254}, {25, 255},
{37, 195}, {74, 172}, {75, 173}, {82, 180}, {83, 181}, {90, 188}, {91, 189}, {2,
232}, {3, 233}, {6, 236}, {7, 237}, {18, 248}, {19, 249}, {22, 252}, {23, 253},
{4, 234}, {57, 215}, {56, 214}, {41, 199}, {40, 198}, {5, 235}, {20, 250}, {21,
251}, {70, 168}, {71, 169}, {86, 184}, {87, 185}, {10, 240}, {11, 241}, {14,
244}, {15, 245}, {63, 196}, {62, 195}, {12, 242}, {49, 207}, {48, 206}, {13,
243}, {78, 176}, {79, 177}, {1, 256}, {3, 258}, {5, 260}, {7, 262}, {9, 264},
{11, 266}, {13, 268}, {15, 270}, {17, 272}, {19, 274}, {21, 276}, {23, 278},
{25, 280}, {27, 282}, {29, 284}, {31, 286}, {33, 288}, {35, 290}, {2, 257}, {6,
261}, {10, 265}, {14, 269}, {18, 273}, {22, 277}, {26, 281}, {30, 285}, {34,
289}, {4, 259}, {12, 267}, {20, 275}, {28, 283}, {36, 291}, {8, 263}, {24, 279},
{26, 256}, {59, 289}, {58, 288}, {27, 257}, {30, 260}, {31, 261}, {28, 258},
{61, 291}, {60, 290}, {29, 259}, {16, 271}, {32, 262}, {57, 287}, {56, 286},
{49, 279}, {48, 278}, {41, 271}, {40, 270}, {33, 263}, {34, 264}, {55, 285},
{54, 284}, {51, 281}, {50, 280}, {35, 265}, {38, 268}, {39, 269}, {36, 266},
{53, 283}, {52, 282}, {37, 267}, {42, 272}, {47, 277}, {46, 276}, {43, 273},
{44, 274}, {45, 275}, {32, 287}, {99, 258}, {101, 260}, {103, 262}, {105, 264},
{107, 266}, {109, 268}, {111, 270}, {113, 272}, {115, 274}, {117, 276}, {119,
278}, {121, 280}, {123, 282}, {125, 284}, {127, 286}, {98, 257}, {102, 261},
{106, 265}, {110, 269}, {114, 273}, {118, 277}, {122, 281}, {126, 285}, {100,
259}, {108, 267}, {116, 275}, {124, 283}, {104, 263}, {120, 279}, {124, 256},
{125, 257}, {126, 258}, {127, 259}, {112, 271}, {128, 260}, {155, 287}, {154,
286}, {153, 285}, {152, 284}, {147, 279}, {146, 278}, {145, 277}, {144, 276},
{139, 271}, {129, 261}, {130, 262}, {131, 263}, {136, 268}, {137, 269}, {138,
270}, {132, 264}, {151, 283}, {150, 282}, {149, 281}, {148, 280}, {133, 265},
{134, 266}, {135, 267}, {140, 272}, {143, 275}, {142, 274}, {141, 273}, {128,
287}, {129, 288}, {131, 290}, {130, 289}, {132, 291}, {156, 288}, {159, 291},
{158, 290}, {157, 289}, {194, 256} }>;
(II) A more general form is to represent the graph as the orbit of {97, 98}
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, 286, 287, 288, 289, 290, 291) (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, 98, 195)(2, 160, 256, 97, 133, 231)(3, 125, 220, 96, 168, 267)(4, 187,
281, 95, 106, 206)(5, 152, 245, 94, 141, 242)(6, 117, 209, 93, 176, 278)(7, 179,
270, 92, 114, 217)(8, 144, 234, 91, 149, 253)(9, 109, 198, 90, 184, 289)(10,
171, 259, 89, 122, 228)(11, 136, 223, 88, 157, 264)(12, 101, 284, 87, 192,
203)(13, 163, 248, 86, 130, 239)(14, 128, 212, 85, 165, 275)(15, 190, 273, 84,
103, 214)(16, 155, 237, 83, 138, 250)(17, 120, 201, 82, 173, 286)(18, 182, 262,
81, 111, 225)(19, 147, 226, 80, 146, 261)(20, 112, 287, 79, 181, 200)(21, 174,
251, 78, 119, 236)(22, 139, 215, 77, 154, 272)(23, 104, 276, 76, 189, 211)(24,
166, 240, 75, 127, 247)(25, 131, 204, 74, 162, 283)(26, 193, 265, 73, 100,
222)(27, 158, 229, 72, 135, 258)(28, 123, 290, 71, 170, 197)(29, 185, 254, 70,
108, 233)(30, 150, 218, 69, 143, 269)(31, 115, 279, 68, 178, 208)(32, 177, 243,
67, 116, 244)(33, 142, 207, 66, 151, 280)(34, 107, 268, 65, 186, 219)(35, 169,
232, 64, 124, 255)(36, 134, 196, 63, 159, 291)(37, 99, 257, 62, 194, 230)(38,
161, 221, 61, 132, 266)(39, 126, 282, 60, 167, 205)(40, 188, 246, 59, 105,
241)(41, 153, 210, 58, 140, 277)(42, 118, 271, 57, 175, 216)(43, 180, 235, 56,
113, 252)(44, 145, 199, 55, 148, 288)(45, 110, 260, 54, 183, 227)(46, 172, 224,
53, 121, 263)(47, 137, 285, 52, 156, 202)(48, 102, 249, 51, 191, 238)(49, 164,
213, 50, 129, 274)
c: (2, 97)(3, 96)(4, 95)(5, 94)(6, 93)(7, 92)(8, 91)(9, 90)(10, 89)(11, 88)(12,
87)(13, 86)(14, 85)(15, 84)(16, 83)(17, 82)(18, 81)(19, 80)(20, 79)(21, 78)(22,
77)(23, 76)(24, 75)(25, 74)(26, 73)(27, 72)(28, 71)(29, 70)(30, 69)(31, 68)(32,
67)(33, 66)(34, 65)(35, 64)(36, 63)(37, 62)(38, 61)(39, 60)(40, 59)(41, 58)(42,
57)(43, 56)(44, 55)(45, 54)(46, 53)(47, 52)(48, 51)(49, 50)(99, 194)(100,
193)(101, 192)(102, 191)(103, 190)(104, 189)(105, 188)(106, 187)(107, 186)(108,
185)(109, 184)(110, 183)(111, 182)(112, 181)(113, 180)(114, 179)(115, 178)(116,
177)(117, 176)(118, 175)(119, 174)(120, 173)(121, 172)(122, 171)(123, 170)(124,
169)(125, 168)(126, 167)(127, 166)(128, 165)(129, 164)(130, 163)(131, 162)(132,
161)(133, 160)(134, 159)(135, 158)(136, 157)(137, 156)(138, 155)(139, 154)(140,
153)(141, 152)(142, 151)(143, 150)(144, 149)(145, 148)(146, 147)(196, 291)(197,
290)(198, 289)(199, 288)(200, 287)(201, 286)(202, 285)(203, 284)(204, 283)(205,
282)(206, 281)(207, 280)(208, 279)(209, 278)(210, 277)(211, 276)(212, 275)(213,
274)(214, 273)(215, 272)(216, 271)(217, 270)(218, 269)(219, 268)(220, 267)(221,
266)(222, 265)(223, 264)(224, 263)(225, 262)(226, 261)(227, 260)(228, 259)(229,
258)(230, 257)(231, 256)(232, 255)(233, 254)(234, 253)(235, 252)(236, 251)(237,
250)(238, 249)(239, 248)(240, 247)(241, 246)(242, 245)(243, 244)
C4[ 291, 2 ]
291
-1 99 231 256 194
-2 100 232 257 98
-3 99 101 233 258
-4 100 102 234 259
-5 101 103 235 260
-6 102 104 236 261
-7 103 105 237 262
-8 104 106 238 263
-9 264 105 107 239
-10 265 106 108 240
-11 266 107 109 241
-12 110 242 267 108
-13 111 243 268 109
-14 110 112 244 269
-15 111 113 245 270
-16 112 114 246 271
-17 113 115 247 272
-18 114 116 248 273
-19 115 117 249 274
-20 275 116 118 250
-21 276 117 119 251
-22 277 118 120 252
-23 121 253 278 119
-24 122 254 279 120
-25 121 123 255 280
-26 122 124 256 281
-27 123 125 257 282
-28 124 126 258 283
-29 125 127 259 284
-30 126 128 260 285
-31 286 127 129 261
-32 287 128 130 262
-33 288 129 131 263
-34 132 264 289 130
-35 133 265 290 131
-36 132 134 266 291
-37 133 135 267 195
-38 134 136 268 196
-39 135 137 269 197
-40 198 136 138 270
-41 199 137 139 271
-42 200 138 140 272
-43 201 139 141 273
-44 202 140 142 274
-45 143 275 203 141
-46 144 276 204 142
-47 143 145 277 205
-48 144 146 278 206
-49 145 147 279 207
-50 146 148 280 208
-51 209 147 149 281
-52 210 148 150 282
-53 211 149 151 283
-54 212 150 152 284
-55 213 151 153 285
-56 154 286 214 152
-57 155 287 215 153
-58 154 156 288 216
-59 155 157 289 217
-60 156 158 290 218
-61 157 159 291 219
-62 220 158 160 195
-63 221 159 161 196
-64 222 160 162 197
-65 198 223 161 163
-66 199 224 162 164
-67 165 200 225 163
-68 166 201 226 164
-69 165 167 202 227
-70 166 168 203 228
-71 167 169 204 229
-72 168 170 205 230
-73 231 169 171 206
-74 232 170 172 207
-75 233 171 173 208
-76 209 234 172 174
-77 210 235 173 175
-78 176 211 236 174
-79 177 212 237 175
-80 176 178 213 238
-81 177 179 214 239
-82 178 180 215 240
-83 179 181 216 241
-84 242 180 182 217
-85 243 181 183 218
-86 244 182 184 219
-87 220 245 183 185
-88 221 246 184 186
-89 187 222 247 185
-90 188 223 248 186
-91 187 189 224 249
-92 188 190 225 250
-93 189 191 226 251
-94 190 192 227 252
-95 253 191 193 228
-96 254 192 194 229
-97 255 193 98 230
-98 2 257 97 230
-99 231 1 3 258
-100 232 2 4 259
-101 233 3 5 260
-102 234 4 6 261
-103 235 5 7 262
-104 236 6 8 263
-105 264 237 7 9
-106 265 238 8 10
-107 11 266 239 9
-108 12 267 240 10
-109 11 13 268 241
-110 242 12 14 269
-111 243 13 15 270
-112 244 14 16 271
-113 245 15 17 272
-114 246 16 18 273
-115 247 17 19 274
-116 275 248 18 20
-117 276 249 19 21
-118 22 277 250 20
-119 23 278 251 21
-120 22 24 279 252
-121 253 23 25 280
-122 254 24 26 281
-123 255 25 27 282
-124 256 26 28 283
-125 257 27 29 284
-126 258 28 30 285
-127 286 259 29 31
-128 287 260 30 32
-129 33 288 261 31
-130 34 289 262 32
-131 33 35 290 263
-132 264 34 36 291
-133 265 35 37 195
-134 266 36 38 196
-135 267 37 39 197
-136 198 268 38 40
-137 199 269 39 41
-138 200 270 40 42
-139 201 271 41 43
-140 44 202 272 42
-141 45 203 273 43
-142 44 46 204 274
-143 275 45 47 205
-144 276 46 48 206
-145 277 47 49 207
-146 278 48 50 208
-147 209 279 49 51
-148 210 280 50 52
-149 211 281 51 53
-150 212 282 52 54
-151 55 213 283 53
-152 56 214 284 54
-153 55 57 215 285
-154 286 56 58 216
-155 287 57 59 217
-156 288 58 60 218
-157 289 59 61 219
-158 220 290 60 62
-159 221 291 61 63
-160 222 62 195 64
-161 223 63 196 65
-162 66 224 64 197
-163 198 67 225 65
-164 66 199 68 226
-165 67 200 69 227
-166 68 201 70 228
-167 69 202 71 229
-168 70 203 72 230
-169 231 71 204 73
-170 232 72 205 74
-171 233 73 206 75
-172 234 74 207 76
-173 77 235 75 208
-174 209 78 236 76
-175 77 210 79 237
-176 78 211 80 238
-177 79 212 81 239
-178 80 213 82 240
-179 81 214 83 241
-180 242 82 215 84
-181 243 83 216 85
-182 244 84 217 86
-183 245 85 218 87
-184 88 246 86 219
-185 220 89 247 87
-186 88 221 90 248
-187 89 222 91 249
-188 90 223 92 250
-189 91 224 93 251
-190 92 225 94 252
-191 253 93 226 95
-192 254 94 227 96
-193 255 95 228 97
-194 1 256 96 229
-195 133 37 160 62
-196 134 38 161 63
-197 135 39 162 64
-198 136 40 163 65
-199 66 137 41 164
-200 165 67 138 42
-201 166 68 139 43
-202 44 167 69 140
-203 45 168 70 141
-204 46 169 71 142
-205 143 47 170 72
-206 144 48 171 73
-207 145 49 172 74
-208 146 50 173 75
-209 147 51 174 76
-210 77 148 52 175
-211 176 78 149 53
-212 177 79 150 54
-213 55 178 80 151
-214 56 179 81 152
-215 57 180 82 153
-216 154 58 181 83
-217 155 59 182 84
-218 156 60 183 85
-219 157 61 184 86
-220 158 62 185 87
-221 88 159 63 186
-222 187 89 160 64
-223 188 90 161 65
-224 66 189 91 162
-225 67 190 92 163
-226 68 191 93 164
-227 165 69 192 94
-228 166 70 193 95
-229 167 71 194 96
-230 168 72 97 98
-231 99 1 169 73
-232 100 2 170 74
-233 101 3 171 75
-234 102 4 172 76
-235 77 103 5 173
-236 78 104 6 174
-237 79 105 7 175
-238 176 80 106 8
-239 177 81 107 9
-240 178 82 108 10
-241 11 179 83 109
-242 110 12 180 84
-243 111 13 181 85
-244 112 14 182 86
-245 113 15 183 87
-246 88 114 16 184
-247 89 115 17 185
-248 90 116 18 186
-249 187 91 117 19
-250 188 92 118 20
-251 189 93 119 21
-252 22 190 94 120
-253 121 23 191 95
-254 122 24 192 96
-255 123 25 193 97
-256 1 124 26 194
-257 2 125 27 98
-258 99 3 126 28
-259 100 4 127 29
-260 101 5 128 30
-261 102 6 129 31
-262 103 7 130 32
-263 33 104 8 131
-264 132 34 105 9
-265 133 35 106 10
-266 11 134 36 107
-267 12 135 37 108
-268 13 136 38 109
-269 110 14 137 39
-270 111 15 138 40
-271 112 16 139 41
-272 113 17 140 42
-273 114 18 141 43
-274 44 115 19 142
-275 143 45 116 20
-276 144 46 117 21
-277 22 145 47 118
-278 23 146 48 119
-279 24 147 49 120
-280 121 25 148 50
-281 122 26 149 51
-282 123 27 150 52
-283 124 28 151 53
-284 125 29 152 54
-285 55 126 30 153
-286 154 56 127 31
-287 155 57 128 32
-288 33 156 58 129
-289 34 157 59 130
-290 35 158 60 131
-291 132 36 159 61
0