Strength of Kimberling X points
Thanks to Edward Brisse for his compilation of the points in barycentrics. Long coordinates are cut off to the right (which hopefully I can correct). The first 422 point are strong. The weak ones are below those. I first plan to use this information in many ways, the first is to search for weak points that collect on strong line; ie., that are colinear. A second is to collect the single strong point that is on each weak line.
| X number | strength | a coordinate in barycentrics |
| 2 | strong | 1 |
| 3 | strong | (a^2 (a^2 - b^2 - c^2)) |
| 4 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 5 | strong | (- a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) |
| 6 | strong | (a^2) |
| 20 | strong | (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4) |
| 22 | strong | (a^2 (a^4 - b^4 - c^4)) |
| 23 | strong | (a^2 (a^4 - b^4 + b^2 c^2 - c^4)) |
| 24 | strong | (a^2 (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 25 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 26 | strong | (a^2 (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + 2 b^6 c^2 - 2 b^4 c^4 + 2 a^2 c^6 + 2 b^2 c^6 - c^8)) |
| 30 | strong | (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) |
| 32 | strong | (a^4) |
| 39 | strong | (a^2 (b^2 + c^2)) |
| 49 | strong | (a^4 (a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 50 | strong | (a^4 (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2)) |
| 51 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 52 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 53 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 54 | strong | (a^2 ( a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 64 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a^2 b^2 - 3 b^4 - 2 a^2 c^2 + 2 b^2 c^2 + c^4)) |
| 66 | strong | ((a^4 + b^4 - c^4) (a^4 - b^4 + c^4)) |
| 67 | strong | ((a^4 - a^2 b^2 + b^4 - c^4) (a^4 - b^4 - a^2 c^2 + c^4)) |
| 68 | strong | ((a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 69 | strong | (a^2 - b^2 - c^2) |
| 70 | strong | ((a^8 - 2 a^6 b^2 + 2 a^4 b^4 - 2 a^2 b^6 + b^8 - 2 a^6 c^2 - 2 b^6 c^2 + 2 a^2 c^6 + 2 b^2 c^6 - c^8) (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 |
| 74 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4)) |
| 76 | strong | (b^2 c^2) |
| 83 | strong | ((a^2 + b^2) (a^2 + c^2)) |
| 93 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - 2 |
| 94 | strong | (b^2 c^2 (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2)) |
| 95 | strong | ((a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 96 | strong | (( a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 - a^ |
| 97 | strong | (a^2 (a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 98 | strong | ((a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 111 | strong | (a^2 (a^2 + b^2 - 2 c^2) (a^2 - 2 b^2 + c^2)) |
| 113 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 |
| 114 | strong | ((a^2 b^2 - b^4 + a^2 c^2 - c^4) (2 a^4 - a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 126 | strong | ((2 a^2 - b^2 - c^2) ( a^2 b^2 + b^4 + a^2 c^2 - 4 b^2 c^2 + c^4)) |
| 128 | strong | (( a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) ( a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (2 a^8 - 4 a^6 b^2 + 3 a^4 b^4 - 2 a^2 b^6 + b |
| 129 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + a^4 b^2 c^2 + b^6 c^2 + a^4 c^4 - 2 b^4 c^4 + |
| 131 | strong | ((a^2 - b^2 - c^2) ( a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6) (2 a^8 - 3 a^6 b^2 + a^4 b |
| 132 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4) (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 133 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 c^2 |
| 138 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (2 a^8 - 4 a^6 b^2 + a^4 b^4 + 2 a^2 b^6 - b^8 - 4 a^6 |
| 140 | strong | (2 a^4 - 3 a^2 b^2 + b^4 - 3 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 141 | strong | (b^2 + c^2) |
| 143 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 146 | strong | (a^10 + a^8 b^2 - 8 a^6 b^4 + 8 a^4 b^6 - a^2 b^8 - b^10 + a^8 c^2 + 9 a^6 b^2 c^2 - 6 a^4 b^4 c^2 - 7 a^2 b^6 c^2 + 3 b^8 c^2 - 8 a^6 c |
| 147 | strong | (a^8 + a^6 b^2 - 2 a^4 b^4 + a^2 b^6 - b^8 + a^6 c^2 - 3 a^4 b^2 c^2 + a^2 b^4 c^2 + b^6 c^2 - 2 a^4 c^4 + a^2 b^2 c^4 + a^2 c^6 + b^2 |
| 148 | strong | (a^4 - a^2 b^2 - b^4 - a^2 c^2 + 3 b^2 c^2 - c^4) |
| 154 | strong | (a^2 (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 155 | strong | (a^2 (a^2 - b^2 - c^2) (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + 3 a^2 c^4 + b^2 c^4 - c^6)) |
| 156 | strong | (a^2 (a^8 - 3 a^6 b^2 + 3 a^4 b^4 - a^2 b^6 - 3 a^6 c^2 + 2 a^4 b^2 c^2 + b^6 c^2 + 3 a^4 c^4 - 2 b^4 c^4 - a^2 c^6 + b^2 c^6)) |
| 157 | strong | (a^2 (a^6 - a^4 b^2 + a^2 b^4 - b^6 - a^4 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6)) |
| 159 | strong | (a^2 (a^6 + a^4 b^2 - a^2 b^4 - b^6 + a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 - a^2 c^4 + b^2 c^4 - c^6)) |
| 160 | strong | (a^4 (a^2 b^2 - b^4 + a^2 c^2 - b^2 c^2 - c^4)) |
| 161 | strong | (a^2 (a^10 - a^8 b^2 - 2 a^6 b^4 + 2 a^4 b^6 + a^2 b^8 - b^10 - a^8 c^2 - 2 a^6 b^2 c^2 + 2 a^4 b^4 c^2 - 2 a^2 b^6 c^2 + 3 b^8 c^2 - 2 |
| 182 | strong | (a^2 (a^4 - a^2 b^2 - a^2 c^2 - 2 b^2 c^2)) |
| 183 | strong | (a^4 - a^2 b^2 - a^2 c^2 - 2 b^2 c^2) |
| 184 | strong | (a^4 (a^2 - b^2 - c^2)) |
| 185 | strong | (a^2 (a^2 - b^2 - c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 186 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 - b^2 + c^2)) |
| 187 | strong | (a^2 ( 2 a^2 - b^2 - c^2)) |
| 193 | strong | (3 a^2 - b^2 - c^2) |
| 194 | strong | (-a^2) b^2 - a^2 c^2 + b^2 c^2) |
| 195 | strong | (a^2 (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 + 5 a^4 b^2 c^2 + a^2 b^4 c^2 - 2 b^6 c^2 + 6 a^4 c^4 + a^2 b^2 c^4 + 2 |
| 206 | strong | (a^4 (a^4 - b^4 - c^4)) |
| 211 | strong | (a^4 (b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 + b^2 c^2 - c^4)) |
| 216 | strong | (a^2 (a^2 - b^2 - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 217 | strong | (a^4 (a^2 - b^2 - c^2) ( a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 230 | strong | (2 a^4 - a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) |
| 231 | strong | (2 a^8 - 4 a^6 b^2 + 3 a^4 b^4 - 2 a^2 b^6 + b^8 - 4 a^6 c^2 + 2 a^2 b^4 c^2 - 4 b^6 c^2 + 3 a^4 c^4 + 2 a^2 b^2 c^4 + 6 b^4 c^4 - 2 a^2 |
| 232 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 235 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 237 | strong | (a^4 ( a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 248 | strong | (a^2 (a^2 - b^2 - c^2) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 251 | strong | (a^2 (a^2 + b^2) (a^2 + c^2)) |
| 252 | strong | ((a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) ( a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 |
| 253 | strong | ((a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a^2 b^2 - 3 b^4 - 2 a^2 c^2 + 2 b^2 c^2 + c^4)) |
| 254 | strong | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) ( a^6 - a^4 b^2 - a^2 b^4 + b^6 - 3 a^4 c^2 + 2 a^2 b^2 c^2 - 3 b^4 c^2 + 3 a^2 c^4 + 3 b^2 c^4 - c^ |
| 262 | strong | ((a^2 b^2 - b^4 + 2 a^2 c^2 + b^2 c^2) (2 a^2 b^2 + a^2 c^2 + b^2 c^2 - c^4)) |
| 263 | strong | (a^2 (a^2 b^2 - b^4 + 2 a^2 c^2 + b^2 c^2) (2 a^2 b^2 + a^2 c^2 + b^2 c^2 - c^4)) |
| 264 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 265 | strong | ((a^2 - b^2 - c^2) (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) ( a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2)) |
| 275 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 276 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 287 | strong | ((a^2 - b^2 - c^2) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 288 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - 3 a^2 b^2 + 2 b^4 - 2 a^2 c^2 - 3 b^2 c^2 + c^4) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c |
| 290 | strong | (b^2 c^2 (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 297 | strong | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 305 | strong | (b^2 c^2 ((-a^2) + b^2 + c^2)) |
| 308 | strong | (b^2 (a^2 + b^2) c^2 (a^2 + c^2)) |
| 311 | strong | (b^2 c^2 ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 315 | strong | (a^4 - b^4 - c^4) |
| 316 | strong | (a^4 - b^4 + b^2 c^2 - c^4) |
| 317 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 323 | strong | (a^2 (a^2 - b^2 - b c - c^2) ( a^2 - b^2 + b c - c^2)) |
| 324 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 325 | strong | (-a^2) b^2 + b^4 - a^2 c^2 + c^4) |
| 327 | strong | (b^2 c^2 ((- a^2) b^2 + b^4 - 2 a^2 c^2 - b^2 c^2) ((-2) a^2 b^2 - a^2 c^2 - b^2 c^2 + c^4)) |
| 328 | strong | (b^2 c^2 (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) ((-a^2) + b^2 + c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2)) |
| 340 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 - b^2 + c^2)) |
| 343 | strong | ((a^2 - b^2 - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 352 | strong | (a^2 (a^4 - 4 a^2 b^2 + b^4 - 4 a^2 c^2 + 5 b^2 c^2 + c^4)) |
| 353 | strong | (a^2 (4 a^4 - 4 a^2 b^2 - 2 b^4 - 4 a^2 c^2 - b^2 c^2 - 2 c^4)) 6 |
| 376 | strong | (5 a^4 - 4 a^2 b^2 - b^4 - 4 a^2 c^2 + 2 b^2 c^2 - c^4) |
| 378 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + 4 b^2 c^2 + c^4)) |
| 381 | strong | (a^4 + a^2 b^2 - 2 b^4 + a^2 c^2 + 4 b^2 c^2 - 2 c^4) |
| 382 | strong | (3 a^4 - a^2 b^2 - 2 b^4 - a^2 c^2 + 4 b^2 c^2 - 2 c^4) |
| 384 | strong | (a^4 + b^2 c^2) |
| 385 | strong | ((a^2 - b c) (a^2 + b c)) |
| 389 | strong | (a^2 (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 c^2 - 3 a^2 b^4 c^2 + 2 b^6 c^2 - 3 a^4 c^4 - 3 a^2 b^2 c^4 - 2 b^4 c^4 + 3 a^2 c^6 + 2 |
| 393 | strong | ((a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2) |
| 394 | strong | (a^2 (a^2 - b^2 - c^2)^2) |
| 399 | strong | (a^2 (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 + a^4 b^2 c^2 + a^2 b^4 c^2 + 2 b^6 c^2 + 6 a^4 c^4 + a^2 b^2 c^4 - 6 b |
| 401 | strong | (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + a^4 b^2 c^2 + b^6 c^2 + a^4 c^4 - 2 b^4 c^4 + b^2 c^6) |
| 402 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^8 - a^6 b^2 - 2 a^4 b^4 + 3 a^2 b^6 - b^8 - a^6 c^2 + 5 a^4 b^2 c^2 - 3 a^2 b^4 c^ |
| 403 | strong | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 417 | strong | (a^4 (a^2 - b^2 - c^2)^3 (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 418 | strong | (a^4 (a^2 - b^2 - c^2)^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 419 | strong | ((a^2 - b c) (a^2 + b c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 420 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^4 + a^2 b^2 - b^4 + a^2 c^2 - b^2 c^2 - c^4)) |
| 421 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + a^4 b^2 c^2 - b^6 c^2 + a^4 c^4 + 2 b^4 c^4 - b^2 c^6)) |
| 426 | strong | (a^2 (a^2 - b^2 - c^2)^3 (a^4 + b^4 - 2 b^2 c^2 + c^4)) |
| 427 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (b^2 + c^2)) |
| 428 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^2 + b^2 + c^2)) |
| 432 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^16 b^2 - 8 a^14 b^4 + 28 a^12 b^6 - 56 a^10 b^8 + 70 a^8 b^10 - 56 a^6 b^12 + 28 a^4 b^14 - 8 a |
| 433 | strong | ((a^2 + b^2 - c^2) (a2 - b^2 + c^2) (a^12 b^2 + 2 a^10 b^4 - a^8 b^6 - 4 a^6 b^8 - a^4 b^10 + 2 a^2 b^12 + b^14 + a^12 c^2 - 4 a^10 b^2 |
| 434 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^16 b^2 - 8 a^14 b^4 + 28 a^12 b^6 - 56 a^10 b^8 + 70 a^8 b^10 - 56 a^6 b^12 + 28 a^4 b^14 - 8 a |
| 435 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^16 b^2 - 8 a^14 b^4 + 28 a^12 b^6 - 56 a^10 b^8 + 70 a^8 b^10 - 56 a^6 b^12 + 28 a^4 b^14 - 8 a |
| 436 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + 3 a^4 b^2 c^2 - b^6 c^2 + a^4 c^4 + 2 b^4 c^4 - b^2 c^6)) |
| 438 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (5 a^12 - 7 a^10 b^2 - 8 a^8 b^4 + 18 a^6 b^6 - 11 a^4 b^8 + 5 a^2 b^10 - 2 b^12 - 7 a^10 c^2 + 26 a |
| 439 | strong | ((3 a^2 - b^2 - c^2)^2) |
| 441 | strong | ((a^2 - b^2 - c^2) (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 446 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 - c^4) (a^8 b^2 - 2 a^6 b^4 + a^4 b^6 + a^8 c^2 + 2 a^2 b^6 c^2 + b^8 c^2 - 2 a^6 c^4 - 4 a^2 b^4 c^4 - b^ |
| 450 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3) (a^4 - a^2 b^2 - a^2 b c + b^3 c - a^2 c |
| 454 | strong | (a^2 (a^2 - b^2 - c^2) (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + 3 a^2 c^4 + b^2 c^4 - c^6)^2) |
| 455 | strong | (a^2 (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^6 + a^4 b^2 - a^2 b^4 - b^6 + a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 - a^2 c^4 + b^2 c^4 - c^6)^2 |
| 456 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 + 5 a^4 b^2 c^2 + a^2 b^4 c^2 - 2 b^ |
| 457 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 + a^4 b^2 c^2 + a^2 b^4 c^2 + 2 b^6 |
| 458 | strong | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 - a^2 c^2 - 2 b^2 c^2)) |
| 459 | strong | ((3 a^2 - b^2 - c^2) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 460 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^4 - a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 467 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 468 | strong | ((2 a^2 - b^2 - c^2) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 477 | strong | ((a^8 + a^6 b^2 - 4 a^4 b^4 + a^2 b^6 + b^8 - 3 a^6 c^2 + 2 a^4 b^2 c^2 + 2 a^2 b^4 c^2 - 3 b^6 c^2 + 3 a^4 c^4 - 2 a^2 b^2 c^4 + 3 b^4 |
| 511 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 524 | strong | (2 a^2 - b^2 - c^2) |
| 538 | strong | (-a^2) b^2 - a^2 c^2 + 2 b^2 c^2) |
| 539 | strong | ((a^2 - b^2 - c^2) ( 2 a^8 - 4 a^6 b^2 + 3 a^4 b^4 - 2 a^2 b^6 + b^8 - 4 a^6 c^2 + 2 a^2 b^4 c^2 - 4 b^6 c^2 + 3 a^4 c^4 + 2 a^2 b^2 c^4 |
| 541 | strong | (2 a^10 - 11 a^6 b^4 + 13 a^4 b^6 - 3 a^2 b^8 - b^10 + 16 a^6 b^2 c^2 - 11 a^4 b^4 c^2 - 8 a^2 b^6 c^2 + 3 b^8 c^2 - 11 a^6 c^4 - 11 a^4 |
| 542 | strong | (2 a^6 - 2 a^4 b^2 + a^2 b^4 - b^6 - 2 a^4 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6) |
| 543 | strong | (2 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 4 b^2 c^2 - c^4) |
| 546 | strong | (2 a^4 + a^2 b^2 - 3 b^4 + a^2 c^2 + 6 b^2 c^2 - 3 c^4) |
| 547 | strong | (2 a^4 - 7 a^2 b^2 + 5 b^4 - 7 a^2 c^2 - 10 b^2 c^2 + 5 c^4) |
| 548 | strong | (6 a^4 - 5 a^2 b^2 - b^4 - 5 a^2 c^2 + 2 b^2 c^2 - c^4) |
| 549 | strong | (4 a^4 - 5 a^2 b^2 + b^4 - 5 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 550 | strong | (4 a^4 - 3 a^2 b^2 - b^4 - 3 a^2 c^2 + 2 b^2 c^2 - c^4) |
| 562 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) ( a^2 - b^2 + b c - c^2) (a^2 - b^2 + c^2) ( a^4 - a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) (a^ |
| 565 | strong | (b^2 c^2 ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 b^4 - 2 a^2 b^6 + b^8 - a^4 b^2 c^2 + 2 a^2 b^4 c^2 - 4 b^6 c^2 + a^4 c^4 + |
| 566 | strong | (a^2 (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 567 | strong | (a^2 (a^8 - 3 a^6 b^2 + 3 a^4 b^4 - a^2 b^6 - 3 a^6 c^2 + 3 a^4 b^2 c^2 + 2 a^2 b^4 c^2 - 2 b^6 c^2 + 3 a^4 c^4 + 2 a^2 b^2 c^4 + 4 b^4 |
| 568 | strong | (a^2 ( a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 c^2 - a^4 b^2 c^2 - 2 a^2 b^4 c^2 + 2 b^6 c^2 - 3 a^4 c^4 - 2 a^2 b^2 c^4 - 2 b^4 c^4 |
| 569 | strong | (a^2 (a^8 - 3 a^6 b^2 + 3 a^4 b^4 - a^2 b^6 - 3 a^6 c^2 + 2 a^4 b^2 c^2 + 3 a^2 b^4 c^2 - 2 b^6 c^2 + 3 a^4 c^4 + 3 a^2 b^2 c^4 + 4 b^4 |
| 570 | strong | (a^2 (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 571 | strong | (a^4 ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 574 | strong | (a^2 (a^2 - 2 b^2 - 2 c^2)) |
| 575 | strong | (a^2 (2 a^4 - 3 a^2 b^2 + b^4 - 3 a^2 c^2 - 4 b^2 c^2 + c^46 |
| 577 | strong | (a^4 (a^2 - b^2 - c^2)^2) |
| 578 | strong | (a^2 (a^8 - 3 a^6 b^2 + 3 a^4 b^4 - a^2 b^6 - 3 a^6 c^2 + 4 a^4 b^2 c^2 + a^2 b^4 c^2 - 2 b^6 c^2 + 3 a^4 c^4 + a^2 b^2 c^4 + 4 b^4 c^4 |
| 592 | strong | (a^2 (a^6 b^2 - 2 a^4 b^4 + a^2 b^6 + 2 a^6 c^2 - 3 a^4 b^2 c^2 - 3 a^2 b^4 c^2 + 2 b^6 c^2 - 3 a^4 c^4 - 6 a^2 b^2 c^4 - 3 b^4 c^4 + a^ |
| 597 | strong | (4 a^2 + b^2 + c^2) |
| 598 | strong | ((2 a^2 + 2 b^2 - c^2) (2 a^2 - b^2 + 2 c^2)) |
| 599 | strong | (a^2 - 2 b^2 - 2 c^2) |
| 620 | strong | (2 a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4) |
| 625 | strong | (a^2 b^2 - 2 b^4 + a^2 c^2 + 2 b^2 c^2 - 2 c^4) |
| 626 | strong | (b^4 + c^4) |
| 631 | strong | (3 a^4 - 4 a^2 b^2 + b^4 - 4 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 632 | strong | (4 a^4 - 7 a^2 b^2 + 3 b^4 - 7 a^2 c^2 - 6 b^2 c^2 + 3 c^4) |
| 671 | strong | ((a^2 + b^2 - 2 c^2) ( a^2 - 2 b^2 + c^2)) |
| 682 | strong | (a^4 (a^2 - b^2 - c^2) ( a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 683 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2) (a^4 + a^2 b^2 - 2 a^2 c^2 + b^2 c^2 + c^4 |
| 695 | strong | (a^2 ( b^4 + a^2 c^2) (a^2 b^2 + c^4)) |
| 698 | strong | (-a^2) b^4 + b^4 c^2 - a^2 c^4 + b^2 c^4) |
| 699 | strong | (a^2 (a^4 b^2 + a^2 b^4 - a^4 c^2 - b^4 c^2) ((-a^4) b^2 + a^4 c^2 + a^2 c^4 - b^2 c^4)) |
| 702 | strong | (-a^4) b^4 - a^4 c^4 + 2 b^4 c^4) |
| 703 | strong | (a^2 (2 a^4 b^4 - a^4 c^4 - b^4 c^4) ((-a^4) b^4 + 2 a^4 c^4 - b^4 c^4)) |
| 706 | strong | (-a^6) b^4 - a^6 c^4 + b^6 c^4 + b^4 c^6) |
| 707 | strong | (a^2 ((-a^4) b^6 + a^6 c4 - b^6 c^4 + a^4 c^6) (a^6 b^4 + a^4 b^6 - a^4 c^6 - b^4 c^6)) |
| 729 | strong | (a^2 (2 a^2 b^2 - a^2 c^2 - b^2 c^2) ((-a^2) b^2 + 2 a^2 c^2 - b^2 c^2)) 10 |
| 732 | strong | ((a^2 - b c) ( a^2 + b c) (b^2 + c^2)) |
| 736 | strong | (a^6 b^2 + a^6 c^2 - b^6 c^2 - b^2 c^6) |
| 737 | strong | (a^2 ((- a^2) b^6 + a^6 c^2 - b^6 c^2 + a^2 c^6) (a^6 b^2 + a^2 b^6 - a^2 c^6 - b^2 c^6)) |
| 754 | strong | (2 a^4 - b^4 - c^4) |
| 755 | strong | (a^2 (a^4 + b^4 - 2 c^4) (a^4 - 2 b^4 + c^4)) |
| 800 | strong | (a^2 (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 801 | strong | ((a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 + 4 a^2 b^2 c^2 - 2 b^4 c^2 + a^2 c^4 + b^2 c^4) (a^6 - 2 a^4 b^2 + a^2 b^4 - a^4 c^2 + 4 a^ |
| 841 | strong | (a^2 (a^10 - 3 a^8 b^2 + 2 a^6 b^4 + 2 a^4 b^6 - 3 a^2 b^8 + b^10 + 3 a^8 c^2 + 8 a^6 b^2 c^2 - 22 a^4 b^4 c^2 + 8 a^2 b^6 c^2 + 3 b^8 |
| 842 | strong | (a^2 (a^6 - a^4 b^2 - a^2 b^4 + b^6 - a^4 c^2 - b^4 c^2 + 2 a^2 c^4 + 2 b^2 c^4 - 2 c^6) (a^6 - a^4 b^2 + 2 a^2 b^4 - 2 b^6 - a^4 c^2 + 2 |
| 843 | strong | (a^2 ( a^4 - 4 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 2 c^4) ( a^4 + 2 a^2 b^2 - 2 b^4 - 4 a^2 c^2 + 2 b^2 c^2 + c^4)) |
| 847 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^c^2 - 2 b^2 c^2 + c^4)) |
| 852 | strong | (a^2 (a^2 - b^2 - c^2) (a^6 b^2 - 2 a^4 b^4 + a^2 b^6 + a^6 c^2 + 2 a^4 b^2 c^2 - a^2 b^4 c^2 - 2 b^6 c^2 - 2 a^4 c^4 - a^2 b^2 c^4 + 4 b |
| 858 | strong | (a^4 b^2 - b^6 + a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + b^2 c^4 - c^6) |
| 864 | strong | (a^4 (a^4 b^4 - a^2 b^6 + b^6 c^2 + a^4 c^4 - 2 b^4 c^4 - a^2 c^6 + b^2 c^6)) |
| 895 | strong | (a^2 ( a^2 + b^2 - 2 c^2) (a^2 - b^2 - c^2) (a^2 - 2 b^2 + c^2)) |
| 973 | strong | (a^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) ( a^10 - 3 a^8 b^2 + 2 a^6 b^4 + 2 a^4 b^6 - 3 a^2 b^8 + b^10 - 3 a^8 c^2 + 3 a^6 b^2 c |
| 974 | strong | (a^2 (a^2 - b^2 - c^2) ( a^10 b^2 - 3 a^8 b^4 + 2 a^6 b^6 + 2 a^4 b^8 - 3 a^2 b^10 + b^12 + a^10 c^2 + 2 a^8 b^2 c^2 - a^6 b^4 c^2 - 11 |
| 1003 | strong | (3 a^4 - a^2 b^2 - a^2 c^2 + 2 b^2 c^2) |
| 1007 | strong | (a^4 - 4 a^2 b^2 + 3 b^4 - 4 a^2 c^2 - 2 b^2 c^2 + 3 c^4) |
| 1031 | strong | ((a^4 + a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - c^4) (a^4 + a^2 b^2 - b^4 + a^2 c^2 + b^2 c^2 + c^4)) |
| 1032 | strong | ((a^2 - b^2 - c^2) (a^8 + 4 a^6 b^2 - 10 a^4 b^4 + 4 a^2 b^6 + b^8 - 4 a^6 c^2 + 4 a^4 b^2 c^2 + 4 a^2 b^4 c^2 - 4 b^6 c^2 + 6 a^4 c^4 - |
| 1033 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 - 4 a^4 b^2 c^2 + 4 a^2 b^4 c^2 + 4 b |
| 1073 | strong | (a^2 (a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a^2 b^2 - 3 b^4 - 2 a^2 c^2 + 2 b^2 c^2 + c^4)) |
| 1075 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^10 b^2 - 4 a^8 b^4 + 6 a^6 b^6 - 4 a^4 b^8 + a^2 b^10 + a^10 c^2 - a^8 b^2 c^2 - 2 a^6 b^4 c^2 |
| 1078 | strong | (a^4 - a^2 b^2 - a^2 c^2 - b^2 c^2) |
| 1092 | strong | (a^4 ( a^2 - b^2 - c^2)^3) |
| 1093 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2)^3 ((-a^2) - b^2 + c^2)^3) |
| 1105 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 + 4 a^2 b^2 c^2 - 2 b^4 c^2 + a^2 c^4 + b^2 c^4) (a^6 - 2 |
| 1112 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 c^4 + c^6)) |
| 1117 | strong | ((a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 3 a^4 c^2 + |
| 1138 | strong | ((a^8 + 2 a^6 b^2 - 6 a^4 b^4 + 2 a^2 b^6 + b^8 - 4 a^6 c^2 + a^4 b^2 c^2 + a^2 b^4 c^2 - 4 b^6 c^2 + 6 a^4 c^4 + a^2 b^2 c^4 + 6 b^4 c |
| 1141 | strong | ((a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2) ( a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) |
| 1147 | strong | (a^4 (a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 1153 | strong | (10 a^4 - 13 a^2 b^2 + 4 b^4 - 13 a^2 c^2 - 10 b^2 c^2 + 4 c^4) |
| 1154 | strong | (a^2 (a^2 - b^2 - b c - c^2) ( a^2 - b^2 + b c - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) 10 |
| 1157 | strong | (a^2 ( a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c |
| 1166 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 - |
| 1173 | strong | (a^2 (a^4 - 3 a^2 b^2 + 2 b^4 - 2 a^2 c^2 - 3 b^2 c^2 + c^4) (a^4 - 2 a^2 b^2 + b^4 - 3 a^2 c^2 - 3 b^2 c^2 + 2 c^4)) |
| 1176 | strong | (a^2 (a^2 + b^2) ( a^2 - b^2 - c^2) (a^2 + c^2)) |
| 1177 | strong | (a^2 (a^6 - a^4 b^2 - a^2 b^4 + b^6 + 2 a^2 b^2 c^2 - a^2 c^4 - b^2 c^4) (a^6 - a^2 b^4 - a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - a^2 c^4 + c |
| 1179 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 - 2 a^2 b^2 c^2 - 2 b^4 c^2 + a^2 c^4 + b^2 c^4) (a^6 - 2 |
| 1180 | strong | (a^2 (a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 + c^4)) |
| 1181 | strong | (a^2 (a^2 - b^2 - c^2) (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c^2 - 6 a^2 b^2 c^2 + b^4 c^2 + 3 a^2 c^4 + b^2 c^4 - c^6)) |
| 1184 | strong | (a^2 (a^2 + b^2 - 2 b c + c^2) (a^2 + b^2 + 2 b c + c^2)) |
| 1186 | strong | (a^4 (a^2 b^4 + a^2 b^2 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4)) |
| 1194 | strong | (a^2 (a^2 b^2 + b^4 + a^2 c^2 + c^4)) |
| 1196 | strong | (a^2 (a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1199 | strong | (a^2 ( a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 + 3 a^4 b^2 c^2 + 4 a^2 b^4 c^2 - 3 b^6 c^2 + 6 a^4 c^4 + 4 a^2 b^2 c^4 |
| 1204 | strong | (a^2 (a^2 - b^2 - c^2) (a^6 - 3 a^2 b^4 + 2 b^6 + 6 a^2 b^2 c^2 - 2 b^4 c^2 - 3 a^2 c^4 - 2 b^2 c^4 + 2 c^6)) |
| 1205 | strong | (a^2 (a^10 b^2 - a^8 b^4 - 2 a^6 b^6 + 2 a^4 b^8 + a^2 b^10 - b^12 + a^10 c^2 - 2 a^8 b^2 c^2 + 3 a^6 b^4 c^2 + 2 a^4 b^6 c^2 - 4 a^2 |
| 1207 | strong | (a^2 (a^2 b^2 - a^2 b c + a^2 c^2 + b^2 c^2) (a^2 b^2 + a^2 b c + a^2 c^2 + b^2 c^2)) |
| 1209 | strong | ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6) |
| 1216 | strong | (a^2 (a^2 - b^2 - c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1217 | strong | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 3 a^4 c^2 + 6 a^2 b^2 c^2 - 3 b^4 c^2 + 3 a^2 c^4 + 3 b^2 c^4 - c^6 |
| 1225 | strong | (b^2 c^2 ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c |
| 1232 | strong | (b^2 c^2 (2 a^4 - 3 a^2 b^2 + b^4 - 3 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1235 | strong | (b^2 c^2 ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (b^2 + c^2)) |
| 1236 | strong | (b^2 c^2 ((-a^4) b^2 + b^6 - a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - b^2 c^4 + c^6)) |
| 1238 | strong | ((a^2 - b^2 - c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1239 | strong | (b^2 c^2 (a^4 + a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2) (a^4 + a^2 b^2 + a^2 c^2 + b^2 c^2 + c^4)) |
| 1241 | strong | (b^2 c^2 ( a^4 + b^4 + a^2 c^2 + b^2 c^2) (a^4 + a^2 b^2 + b^2 c^2 + c^4)) |
| 1249 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1263 | strong | ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) ((-a^6) + 3 a^4 b^2 - 3 a^2 b^4 + b^6 + a^4 c^2 - a^2 b^2 c^2 - 3 b^4 c^2 + a^2 c^4 + 3 b^ |
| 1272 | strong | (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b6 + b^8 - 4 a^6 c^2 + a^4 b^2 c^2 + a^2 b^4 c^2 + 2 b^6 c^2 + 6 a^4 c^4 + a^2 b^2 c^4 - 6 b^4 c^4 |
| 1273 | strong | ((a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1294 | strong | (( a^8 + 2 a^6 b^2 - 6 a^4 b^4 + 2 a^2 b^6 + b^8 - 3 a^6 c^2 + 3 a^4 b^2 c^2 + 3 a^2 b^4 c^2 - 3 b^6 c^2 + 3 a^4 c^4 - 4 a^2 b^2 c^4 + 3 |
| 1297 | strong | (a^2 (a^6 - a^4 b^2 - a^2 b^4 + b^6 + a^2 c^4 + b^2 c^4 - 2 c^6) (a^6 + a^2 b^4 - 2 b^6 - a^4 c^2 + b^4 c^2 - a^2 c^4 + c^6)) |
| 1298 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^4 b^4 - 2 a^2 b^6 + b^8 + a^6 c^2 + a^2 |
| 1299 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - a^6 b^2 + a^4 b^4 - 3 a^2 b^6 + 2 b^8 - 4 a^6 c^2 + a^4 b^2 c^2 + 2 a^2 b^4 c^2 - 3 b^6 c |
| 1300 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 + 2 a^2 b^2 c^2 - 2 b^4 c^2 + a^2 c^4 + b^2 c^4) (a^6 - 2 |
| 1316 | strong | (a^8 - a^6 b^2 - a^6 c^2 + a^4 b^2 c^2 + b^6 c^2 - 2 b^4 c^4 + b^2 c^6) |
| 1350 | strong | (a^2 (a^4 + 2 a^2 b^2 - 3 b^4 + 2 a^2 c^2 - 2 b^2 c^2 - 3 c^4)) |
| 1351 | strong | (a^2 (a^4 - 4 a^2 b^2 + 3 b^4 - 4 a^2 c^2 - 2 b^2 c^2 + 3 c^4)) |
| 1352 | strong | (a^6 - a^4 b^2 + a^2 b^4 - b^6 - a^4 c^2 + 2 a^2 b^2 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6) |
| 1353 | strong | (4 a^6 - 7 a^4 b^2 + 4 a^2 b^4 - b^6 - 7 a^4 c^2 - 4 a^2 b^2 c^2 + b^4 c^2 + 4 a^2 c^4 + b^2 c^4 - c^6) |
| 1368 | strong | ((a^2 - b^2 - c^2) (a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1369 | strong | (a^6 + a^4 b^2 - a^2 b^4 - b^6 + a^4 c^2 - a^2 b^2 c^2 - b^4 c^2 - a^2 c^4 - b^2 c^4 - c^6) |
| 1370 | strong | (a^6 + a^4 b^2 - a^2 b^4 - b^6 + a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 - a^2 c^4 + b^2 c^4 - c^6) |
| 1383 | strong | (a^2 (2 a^2 + 2 b^2 - c^2) (2 a^2 - b^2 + 2 c^2)) |
| 1384 | strong | (a^2 (5 a^2 - b^2 - c^2)) |
| 1485 | strong | (a^2 (a^6 - a^4 b^2 - a^2 b^4 + b^6 - a^4 c^2 - b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6) (a^6 - a^4 b^2 + a^2 b^4 - b^6 - a^4 c^2 + b^4 c^2 - a |
| 1487 | strong | ((a^4 - 3 a^2 b^2 + 2 b^4 - 2 a^2 c^2 - 3 b^2 c^2 + c^4) (a^4 - a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 - 2 a^2 b^2 + b^4 - a^2 c |
| 1493 | strong | (a^2 (2 a^4 - 3 a^2 b^2 + b^4 - 3 a^2 c^2 - 2 b^2 c^2 + c^4) ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 1494 | strong | ((a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4)) |
| 1495 | strong | (a^2 ( 2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1498 | strong | (a^2 (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 - 4 a^4 b^2 c^2 + 4 a^2 b^4 c^2 + 4 b^6 c^2 + 6 a^4 c^4 + 4 a^2 b^2 c^4 |
| 1501 | strong | (a^6) |
| 1502 | strong | (b^4 c^4) |
| 1503 | strong | (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6) |
| 1506 | strong | (-2) a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 1511 | strong | (a^2 (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1513 | strong | ((a^2 b^2 - b^4 + a^2 c^2 - c^4) (3 a^4 + b^4 - 2 b^2 c^2 + c^4)) |
| 1514 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^6 + a^4 b^2 - 5 a^2 b^4 + 3 b^6 + a^4 c^2 + 10 a^2 b^2 c^2 - 3 b^4 c^2 - 5 a^2 c^ |
| 1515 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (5 a^4 - 4 a^2 b^2 - b^4 - 4 a^2 c^2 + 2 b^2 c^2 - c^4) (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 |
| 1516 | strong | ((a^2 - b^2 - c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6) (4 a^8 - 5 a^6 b^2 - a^4 b^ |
| 1529 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 + 2 a^2 b^2 - 3 b^4 + 2 a^2 c^2 - 2 b^2 c^2 - 3 c^4) (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + |
| 1531 | strong | ((a^2 - b^2 - c^2) ( a^4 + a^2 b^2 - 2 b^4 + a^2 c^2 + 4 b^2 c^2 - 2 c^4) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1533 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 8 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 |
| 1539 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^6 - 3 a^2 b^4 + 2 b^6 + 5 a^2 b^2 c^2 - 2 b^4 c^2 - 3 a^2 c^4 - 2 b^2 c^4 + 2 c^6)) |
| 1540 | strong | ((2 a^10 - 4 a^8 b^2 + a^6 b^4 + a^4 b^6 + a^2 b^8 - b^10 - 4 a^8 c^2 + 4 a^6 b^2 c^2 - a^4 b^4 c^2 - 2 a^2 b^6 c^2 + 3 b^8 c^2 + a^6 c |
| 1550 | strong | ((2 a^6 - 2 a^4 b^2 + a^2 b^4 - b^6 - 2 a^4 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6) (a^8 - a^6 b^2 + a^4 b^4 - 3 a^2 b^6 + 2 b^8 - a^6 c |
| 1551 | strong | ((2 a^6 - 2 a^4 b^2 + a^2 b^4 - b^6 - 2 a^4 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6) (a^8 + 3 a^6 b^2 - 5 a^4 b^4 - 3 a^2 b^6 + 4 b^8 + 3 |
| 1552 | strong | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c |
| 1553 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)^2 (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 c^2 + 2 a^4 b^2 c^2 - 2 a^2 b^4 c^2 - |
| 1554 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6) (a^8 b^2 - 2 a^6 b^4 + 2 |
| 1555 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) ( a^8 - a^6 b^2 + a^4 b^4 - 3 a^2 b^6 + 2 b^8 - a^6 c^2 + 8 a^4 b^2 c^2 + 3 a^2 b^4 |
| 1556 | strong | ((2 a^6 - a^2 b^4 - b^6 + b^4 c^2 - a^2 c^4 + b^2 c^4 - c^6) (a^8 + a^6 b^2 - 3 a^4 b^4 - a^2 b^6 + 2 b^8 + a^6 c^2 - a^4 b^2 c^2 - 3 a^2 |
| 1557 | strong | ((-3) a^6 b^2 + 2 a^4 b^4 + a^2 b^6 - 3 a^6 c^2 + 2 a^4 b^2 c^2 - a^2 b^4 c^2 + 2 b^6 c^2 + 2 a^4 c^4 - a^2 b^2 c^4 - 4 b^4 c^4 + a^2 c^ |
| 1559 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4) (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 |
| 1560 | strong | ((2 a^2 - b^2 - c^2) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - b^6 + a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 1561 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (3 a^6 b^2 - 5 a^4 b^4 + a^2 b^6 + b^8 + 3 a^6 c^2 + 4 a^4 b^2 c^2 - a^2 b^4 c^2 + |
| 1567 | strong | ((- a^6) b^2 + a^4 b^4 - a^6 c^2 + 2 a^4 b^2 c^2 - a^2 b^4 c^2 + b^6 c^2 + a^4 c^4 - a^2 b^2 c^4 - 2 b^4 c^4 + b^2 c^6) ( 2 a^8 b^4 - 3 a |
| 1568 | strong | ((a^2 - b^2 - c^2) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1569 | strong | (-2) a^6 b^2 + 2 a^4 b^4 - a^2 b^6 - 2 a^6 c^2 + 4 a^4 b^2 c^2 - a^2 b^4 c^2 + b^6 c^2 + 2 a^4 c^4 - a^2 b^2 c^4 - 2 b^4 c^4 - a^2 c^6 + |
| 1570 | strong | (a^2 (2 a^4 - 3 a^2 b^2 + 3 b^4 - 3 a^2 c^2 - 2 b^2 c^2 + 3 c^4)) |
| 1593 | strong | (a^2 ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + 6 b^2 c^2 + c^4)) |
| 1594 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1595 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 8 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1596 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b4 + b^6 + a^4 c^2 + 8 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1597 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + 10 b^2 c^2 + c^4)) |
| 1598 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - 6 b^2 c^2 + c^4)) |
| 1601 | strong | (a^2 (a^20 - 6 a^18 b^2 + 15 a^16 b^4 - 20 a^14 b^6 + 14 a^12 b^8 - 14 a^8 b^12 + 20 a^6 b^14 - 15 a^4 b^16 + 6 a^2 b^18 - b^20 - 6 a |
| 1609 | strong | (a^2 (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + 3 a^2 c^4 + b^2 c^4 - c^6)) |
| 1611 | strong | (a^2 (a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 6 b^2 c^2 + c^4)) |
| 1613 | strong | (a^2 (a^2 b^2 + a^2 c^2 - b^2 c^2)) |
| 1614 | strong | (a^2 (a^8 - 3 a^6 b^2 + 3 a^4 b^4 - a^2 b^6 - 3 a^6 c^2 + a^4 b^2 c^2 + a^2 b^4 c^2 + b^6 c^2 + 3 a^4 c^4 + a^2 b^2 c^4 - 2 b^4 c^4 - a |
| 1619 | strong | (a^2 (a^10 - a^8 b^2 - 2 a^6 b^4 + 2 a^4 b^6 + a^2 b^8 - b^10 - a^8 c^2 + 12 a^6 b^2 c^2 - 6 a^4 b^4 c^2 - 4 a^2 b^6 c^2 - b^8 c^2 - 2 a |
| 1620 | strong | (a^2 (7 a^8 - 12 a^6 b^2 - 6 a^4 b^4 + 20 a^2 b^6 - 9 b^8 - 12 a^6 c^2 + 28 a^4 b^2 c^2 - 20 a^2 b^4 c^2 + 4 b^6 c^2 - 6 a^4 c^4 - 20 a^2 |
| 1627 | strong | (a^2 (a^4 + a^2 b^2 + a^2 c^2 - b^2 c^2)) |
| 1628 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^16 - 8 a^14 b^2 + 28 a^12 b^4 - 56 a10 b^6 + 70 a^8 b^8 - 56 a^6 b^10 + 28 a^4 b^12 - 8 a^2 |
| 1629 | strong | ((a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2 (a^4 - a^2 b^2 - a^2 c^2 - b^2 c^2)) |
| 1641 | strong | ((2 a^2 - b^2 - c^2) (2 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 4 b^2 c^2 - c^4)) |
| 1651 | strong | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (2 a^8 - 2 a^6 b^2 - 3 a^4 b^4 + 4 a^2 b^6 - b^8 - 2 a^6 c^2 + 8 a^4 b^2 c^2 - 4 a^2 |
| 1656 | strong | (a^4 - 3 a^2 b^2 + 2 b^4 - 3 a^2 c^2 - 4 b^2 c^2 + 2 c^4) |
| 1657 | strong | (5 a^4 - 3 a^2 b^2 - 2 b^4 - 3 a^2 c^2 + 4 b^2 c^2 - 2 c^4) |
| 1658 | strong | (a^2 (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + 2 a^4 b^2 c^2 - a^2 b^4 c^2 + b^6 c^2 - a^2 b^2 c^4 + 2 a^2 c^6 + b^2 c^6 - c^8)) |
| 1660 | strong | (a^4 (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + 10 a^4 b^2 c^2 - 6 a^2 b^4 c2 - 2 b^6 c^2 - 6 a^2 b^2 c^4 + 6 b^4 c^4 + 2 a^2 c^6 - |
| 1661 | strong | (a^2 (a^10 + 3 a^8 b^2 - 14 a^6 b^4 + 14 a^4 b^6 - 3 a^2 b^8 - b^10 + 3 a^8 c^2 + 20 a^6 b^2 c^2 - 14 a^4 b^4 c^2 - 12 a^2 b^6 c^2 + 3 |
| 1691 | strong | (a^2 (a^2 - b c) (a^2 + b c)) |
| 1692 | strong | (a^2 (2 a^4 - a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1799 | strong | ((a^2 + b^2) (a^2 - b^2 - c^2) (a^2 + c^2)) |
| 1843 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (b^2 + c^2)) |
| 1853 | strong | (a^6 + a^2 b^4 - 2 b^6 - 2 a^2 b^2 c^2 + 2 b^4 c^2 + a^2 c^4 + 2 b^2 c^4 - 2 c^6) |
| 1879 | strong | (a^4 b^4 - 2 a^2 b^6 + b^8 + 2 a^2 b^4 c^2 - 4 b^6 c^2 + a^4 c^4 + 2 a^2 b^2 c^4 + 6 b^4 c^4 - 2 a^2 c^6 - 4 b^2 c^6 + c^8) |
| 1885 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( 2 a^6 - 3 a^4 b^2 + b^6 - 3 a^4 c^2 + 8 a^2 b^2 c^2 - b^4 c^2 - b^2 c^4 + c^6)) |
| 1899 | strong | ((a^2 - b^2 - c^2) (a^4 + b^4 - 2 b^2 c^2 + c^4)) |
| 1907 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 - 12 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1915 | strong | (a^2 (a^4 + b^2 c^2)) |
| 1916 | strong | ((b^2 - a c) (b^2 + a c) ((-a) b + c^2) (a b + c^2)) |
| 1941 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^12 - 4 a^10 b^2 + 6 a^8 b^4 - 4 a^6 b^6 + a^4 b^8 - 4 a^10 c^2 + 13 a^8 b^2 c^2 - 12 a^6 b^4 c^ |
| 1968 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 - a^2 c^2 + 2 b^2 c^2)) |
| 1970 | strong | (a^2 (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + 3 a^4 b^2 c^2 - b^6 c^2 + a^4 c^4 + 2 b^4 c^4 - b^2 c^6)) |
| 1971 | strong | (a^2 (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + a^4 b^2 c^2 + b^6 c^2 + a^4 c^4 - 2 b^4 c^4 + b^2 c^6)) |
| 1972 | strong | ((a^4 b^4 - 2 a^2 b^6 + b^8 + a^6 c^2 + a^2 b^4 c^2 - 2 b^6 c^2 - 2 a^4 c^4 + b^4 c^4 + a^2 c^6) (a^6 b^2 - 2 a^4 b^4 + a^2 b^6 + a^4 c |
| 1974 | strong | (a^4 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1975 | strong | (a^4 - a^2 b^2 - a^2 c^2 + 2 b^2 c^2) |
| 1976 | strong | (a^2 (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 1986 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c |
| 1987 | strong | (a^2 (a^4 b^4 - 2 a^2 b^6 + b^8 + a^6 c^2 + a^2 b^4 c^2 - 2 b^6 c^2 - 2 a^4 c^4 + b^4 c^4 + a^2 c^6) (a^6 b^2 - 2 a^4 b^4 + a^2 b^6 + a |
| 1988 | strong | (a^2 (a^6 b^2 - 2 a^4 b^4 + a^2 b^6 - a^6 c^2 + a^4 b^2 c^2 + a^2 b^4 c^2 - b^6 c^2 + 2 a^4 c^4 - a^2 b^2 c^4 + 2 b^4 c^4 - a^2 c^6 - b |
| 1989 | strong | ((a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2)) |
| 1990 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1992 | strong | (5 a^2 - b^2 - c^2) |
| 1993 | strong | (a^2 ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 1994 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 1995 | strong | (a^2 (a^4 - b^4 + 4 b^2 c^2 - c^4)) |
| 2001 | strong | (a^2 (a^8 - a^6 b^2 + a^4 b^4 - a^2 b^6 - a^6 c^2 + a^2 b^4 c^2 + a^4 c^4 + a^2 b^2 c^4 + 2 b^4 c^4 - a^2 c^6)) |
| 2021 | strong | (a^2 (3 a^4 b^2 - 2 a^2 b^4 + b^6 + 3 a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c4 - b^2 c^4 + c^6)) |
| 2023 | strong | (a^6 b^2 - a^4 b^4 + 2 a^2 b^6 + a^6 c^2 - 2 a^4 b^2 c^2 - a^2 b^4 c^2 + b^6 c^2 - a^4 c^4 - a^2 b^2 c^4 - 2 b^4 c^4 + 2 a^2 c^6 + b^2 c |
| 2024 | strong | (a^2 (3 a^6 b^2 - a^4 b^4 + a^2 b^6 + b^8 + 3 a^6 c^2 - 5 a^2 b^4 c^2 + 2 b^6 c^2 - a^4 c^4 - 5 a^2 b^2 c^4 - 2 b^4 c^4 + a^2 c^6 + 2 b^ |
| 2025 | strong | (a^2 (3 a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 + b^8 + 3 a^6 c^2 - 4 a^4 b^2 c^2 - 5 a^2 b^4 c^2 + 4 b^6 c^2 - 3 a^4 c^4 - 5 a^2 b^2 c^4 - 2 b^4 |
| 2030 | strong | (a^2 (4 a^4 - a^2 b^2 + b^4 - a^2 c^2 - 4 b^2 c^2 + c^4)) |
| 2031 | strong | (a^2 (4 a^6 - 5 a^4 b^2 + 4 a^2 b^4 + b^6 - 5 a^4 c^2 - 6 a^2 b^2 c^2 + b^4 c^2 + 4 a^2 c^4 + b2 c^4 + c^6)) |
| 2032 | strong | (a^2 (4 a^8 - a^6 b^2 + 3 a^4 b^4 + a^2 b^6 + b^8 - a^6 c^2 - 8 a^4 b^2 c^2 - a^2 b^4 c^2 - 2 b^6 c^2 + 3 a^4 c^4 - a^2 b^2 c^4 + 2 b^4 |
| 2041 | strong | (-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4 - a^4 f0h1 + a^2 b^2 f0h1 + a^2 c^2 f0h1) |
| 2042 | strong | (-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4 + a^4 f0h1 - a^2 b^2 f0h1 - a^2 c^2 f0h1) |
| 2043 | strong | (a^4 + a^2 b^2 - 2 b^4 + a^2 c^2 + 4 b^2 c^2 - 2 c^4 - a^2 b^2 f0h1 + b^4 f0h1 - a^2 c^2 f0h1 - 2 b^2 c^2 f0h1 + c^4 f0h1) |
| 2044 | strong | (a^4 + a^2 b^2 - 2 b^4 + a^2 c^2 + 4 b^2 c^2 - 2 c^4 + a^2 b^2 f0h1 - b^4 f0h1 + a^2 c^2 f0h1 + 2 b^2 c^2 f0h1 - c^4 f0h1) |
| 2045 | strong | (a^4 - 3 a^2 b^2 + 2 b^4 - 3 a^2 c^2 - 4 b^2 c^2 + 2 c^4 + a^2 b^2 f0h1 - b^4 f0h1 + a^2 c^2 f0h1 + 2 b^2 c^2 f0h1 - c^4 f0h1) |
| 2046 | strong | (a^4 - 3 a^2 b^2 + 2 b^4 - 3 a^2 c^2 - 4 b^2 c^2 + 2 c^4 - a^2 b^2 f0h1 + b^4 f0h1 - a^2 c^2 f0h1 - 2 b^2 c^2 f0h1 + c^4 f0h1) |
| 2052 | strong | (b^2 c^2 ((-a^2) + b^2 - c^2)^2 ((-a^2) - b^2 + c^2)^2) |
| 2055 | strong | (a^2 (a^2 - b^2 - c^2) (a^12 - 4 a^10 b^2 + 6 a^8 b^4 - 4 a^6 b^6 + a^4 b^8 - 4 a^10 c^2 + 9 a^8 b^2 c^2 - 4 a^6 b^4 c^2 - 2 a^4 b^6 c^2 |
| 2056 | strong | (a^2 ( a^4 - 2 a^2 b^2 - 2 a^2 c^2 + b^2 c^2)) |
| 2060 | strong | ((3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4) (5 a^12 - 10 a^10 b^2 - 9 a^8 b^4 + 36 a^6 b^6 - 29 a^4 b^8 + 6 a^2 b^10 + b^12 |
| 2063 | strong | (a^2 (a^2 - b^2 - c^2) (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + 10 a^4 b^2 c^2 - 6 a^2 b^4 c^2 - 2 b^6 c^2 - 6 a^2 b^2 c^4 + 6 b^ |
| 2065 | strong | (a^2 (a^4 + b^4 - a^2 c^2 - b^2 c^2) ( a^4 - a^2 b^2 - b^2 c^2 + c^4) (a^4 - a^2 b^2 + 2 b^4 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^4 - 2 a^2 b^2 |
| 2070 | strong | (a^2 ( a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + a^4 b^2 c^2 - a^2 b^4 c^2 + 2 b^6 c^2 - a^2 b^2 c^4 - 2 b^4 c^4 + 2 a^2 c^6 + 2 b^ |
| 2071 | strong | (a^2 (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + 7 a^4 b^2 c^2 - 4 a^2b^4 c^2 - b^6 c^2 - 4 a^2 b^2 c^4 + 4 b^4 c^4 + 2 a^2 c^6 - b^ |
| 2076 | strong | (a^2 (a^4 + a^2 b^2 - b^4 + a^2 c^2 - b^2 c^2 - c^4)) |
| 2079 | strong | (a^2 ( a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 + 5 a^4 b^2 c^2 - 3 a^2 b^4 c^2 + 2 b^6 c^2 - 3 a^2 b^2 c^4 - 2 b^4 c^4 + 2 a^2 c^6 |
| 2080 | strong | (a^2 (a^6 - 3 a^4 b^2 + 2 a^2 b^4 - 3 a^4 c^2 - a^2 b^2 c^2 + b^4 c^2 + 2 a^2 c^4 + b^2 c^4)) |
| 2120 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^18 - 6 a^16 b^2 + 15 a^14 b^4 - 21 a^12 b |
| 2121 | strong | ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) ((-a^18) + 6 a^16 b^2 - 15 a^14 b4 + 21 a^12 b^6 - 21 a^10 b^8 + 21 a^8 b^10 - 21 a^6 b^ |
| 2130 | strong | (a^2 ( a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a^2 b^2 - 3 b^4 - 2 a^2 c^2 + 2 b^2 c^2 + c^4) ( a |
| 2131 | strong | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4) (a^16 + 8 a^14 b^2 - 68 a^12 b^4 + 184 a^10 |
| 2132 | strong | (a^2 (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4) (a^18 - 6 a^16 b^2 + 15 a^1 |
| 2138 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^10 - a^8 b^2 - 2 a^6 b^4 + 2 a^4 b^6 + a^2 b^8 - b^10 - a^8 c^2 + 12 a^6 b^2 c^2 - 6 a^4 b^4 |
| 2139 | strong | ((a^2 - b^2 - c^2) (a^10 + a^8 b^2 - 2 a^6 b^4 - 2 a^4 b^6 + a^2 b^8 + b^10 - a^8 c^2 + 4 a^6 b^2 c^2 - 6 a^4 b^4 c^2 + 4 a^2 b^6 c^2 - |
| 2165 | strong | ((a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 2207 | strong | (a^2 (a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2) |
| 2211 | strong | (a^4 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) 12 |
| 2351 | strong | (a^2 (a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) ( a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 2353 | strong | (a^2 (a^4 + b^4 - c^4) (a^4 - b^4 + c^4)) |
| 2366 | strong | ((a^8 - 2 a^6 b^2 + 2 a^4 b^4 - 2 a^2 b^6 + b^8 + a^6 c^2 - a^4 b^2 c^2 - a^2 b^4 c^2 + b^6 c^2 - a^4 c^4 + 4 a^2 b^2 c^4 - b^4 c^4 - a^ |
| 2367 | strong | (b^2 c^2 ( a^6 + b^6 - a^4 c^2 - b^4 c^2) (a^6 - a^4 b^2 - b^2 c^4 + c^6)) |
| 2373 | strong | ((a^6 - a^4 b^2 - a^2 b^4 + b^6 + 2 a^2 b^2 c^2 - a^2 c^4 - b^2 c^4) (a^6 - a^2 b^4 - a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - a^2 c^4 + c^6)) |
| 2374 | strong | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 - 4 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2) (a^4 + a^2 b^2 - 4 a^2 c^2 + b^2 c^2 + c^4)) |
| 2383 | strong | (a^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 2 a^6 b^2 + 3 a^4 b^4 - 4 a^2 b^6 + 2 b^8 - 4 a^6 c^2 + 2 a^4 b^2 c^2 - 4 b^6 c^2 + 6 a^4 |
| 2386 | strong | (a^2 ( a^6 b^2 + a^4 b^4 - a^2 b^6 - b^8 + a^6 c^2 - 4 a^4 b^2 c^2 + a^2 b^4 c^2 + 2 b^6 c^2 + a^4 c^4 + a^2 b^2 c^4 - 2 b^4 c^4 - a^2 |
| 2387 | strong | (a^4 (a^2 b^4 - b^6 + a^2 c^4 - c^6)) |
| 2393 | strong | (a^2 ( a^4 b^2 - b^6 + a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 2450 | strong | ((a^2 b^2 - b^4 + a^2 c^2 - c^4) ( a^4 + b^4 - 2 b^2 c^2 + c^4)) |
| 2452 | strong | (a^8 - a^6 b^2 - 2 a^4 b^4 + 2 a^2 b^6 - a^6 c^2 + 5 a^4 b^2 c^2 - 2 a^2 b^4 c^2 - b^6 c^2 - 2 a^4 c^4 - 2 a^2 b^2 c^4 + 2 b^4 c^4 + 2 a^ |
| 2453 | strong | (a^8 - a^6 b^2 + a^4 b^4 - a^2 b^6 - a^6 c^2 - a^4 b^2 c^2 + a^2 b^4 c^2 + 2 b^6 c^2 + a^4 c^4 + a^2 b^2 c^4 - 4 b^4 c^4 - a^2 c^6 + 2 |
| 2456 | strong | (a^2 (a^8 - 2 a^6 b^2 + 3 a^4 b^4 - 2 a^2 b^6 - 2 a^6 c^2 + a^4 b^2 c^2 + 2 a^2 b^4 c^2 - 3 b^6 c^2 + 3 a^4 c^4 + 2 a^2 b^2 c^4 + 2 b^4 |
| 2458 | strong | (a^2 (a^8 + 2 a^4 b^4 - a^2 b^6 + a^4 b^2 c^2 - 2 b^6 c^2 + 2 a^4 c^4 - a^2 c^6 - 2 b^2 c^6)) |
| 2482 | strong | ((2 a^2 - b^2 - c^2)^2) |
| 2493 | strong | (a^2 (a^6 b^2 - a^4 b^4 - a^2 b^6 + b^8 + a^6 c^2 - 2 a^4 b^2 c^2 + 2 a^2 b^4 c^2 - 3 b^6 c^2 - a^4 c^4 + 2 a^2 b^2 c^4 + 4 b^4 c^4 - a^ |
| 2502 | strong | (a^2 (2 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 4 b^2 c^2 - c^4)) |
| 2548 | strong | (a^4 + 2 a^2 b^2 - b^4 + 2 a^2 c^2 + 2 b^2 c^2 - c^4) |
| 2549 | strong | (a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4) |
| 2675 | strong | (-17) a^4 + 2 a^2 b^2 + 15 b^4 + 2 a^2 c^2 - 30 b^2 c^2 + 15 c^4 + 3 a^4 f0h2 - 6 a^2 b^2 f0h2 + 3 b^4 f0h2 - 6 a^2 c^2 f0h2 - 6 b^2 c^2 f |
| 2676 | strong | (-a^4) - 14 a^2 b^2 + 15 b^4 - 14 a^2 c^2 - 30 b^2 c^2 + 15 c^4 + 3 a^4 f0h2 - 6 a^2 b^2 f0h2 + 3 b^4 f0h2 - 6 a^2 c^2 f0h2 - 6 b^2 c^2 f0h |
| 2133 | strong1 | |
| 1 | weak | a |
| 7 | weak | ((a + b - c) (a - b + c)) |
| 8 | weak | (a - b - c) |
| 9 | weak | (a (a - b - c)) |
| 10 | weak | (b + c) |
| 11 | weak | (b + c - a)(b - c)^2 |
| 12 | weak | (( a + b - c) (a - b + c) (b + c)^2) |
| 19 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 21 | weak | (a (a + b) (a - b - c) (a + c)) |
| 27 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 28 | weak | (a (a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 29 | weak | ((a + b) (a - b - c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 31 | weak | (a^3) |
| 33 | weak | (a (a - b - c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 34 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 35 | weak | (a^2 (a^2 - b^2 - b c - c^2)) |
| 36 | weak | (a^2 (a^2 - b^2 + b c - c^2)) |
| 37 | weak | (a (b + c)) |
| 38 | weak | (a (b^2 + c^2)) |
| 40 | weak | (a (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 41 | weak | (a^3 (a - b - c)) |
| 42 | weak | (a^2 (b + c)) |
| 43 | weak | (a (a b + a c - b c)) |
| 44 | weak | (a (2 a - b - c)) |
| 45 | weak | (a (a - 2 b - 2 c)) |
| 46 | weak | (a (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)) |
| 47 | weak | (a^3 ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 48 | weak | (a^3 (a^2 - b^2 - c^2)) |
| 55 | weak | (a^2 (a - b - c)) |
| 56 | weak | (a^2 (a + b - c) (a - b + c)) |
| 57 | weak | (a (a + b - c) (a - b + c)) |
| 58 | weak | (a^2 (a + b) (a + c)) |
| 59 | weak | (a^2 (a - b)^2 (a + b - c) ((-a) + c)^2 (a - b + c)) |
| 60 | weak | (a^2 (a + b)^2 (a - b - c) (a + c)^2) |
| 63 | weak | (a (a^2 - b^2 - c^2)) |
| 65 | weak | (a (a + b - c) (a - b + c) (b + c)) |
| 71 | weak | (a^2 (b + c) (a^2 - b^2 - c^2)) |
| 72 | weak | (a (b + c) ( a^2 - b^2 - c^2)) |
| 73 | weak | (a^2 (a + b - c) (a - b + c) (b + c) (a^2 - b^2 - c^2)) |
| 75 | weak | (b c) |
| 77 | weak | (a (a + b - c) (a - b + c) (a^2 - b^2 - c^2)) |
| 78 | weak | (a (a - b - c) (a^2 - b^2 - c^2)) |
| 79 | weak | ((a^2 + a b + b^2 - c^2) (a^2 - b^2 + a c + c^2)) |
| 80 | weak | (( a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 81 | weak | (a (a + b) (a + c)) |
| 82 | weak | (a (a^2 + b^2) ( a^2 + c^2)) |
| 84 | weak | (a (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^2 + b c |
| 85 | weak | (b ((-a) + b - c) c ((- a) - b + c)) |
| 86 | weak | ((a + b) (a + c)) |
| 87 | weak | (a (a b - a c - b c) ((-a) b + a c - b c)) |
| 88 | weak | (a (a + b - 2 c) (a - 2 b + c)) |
| 89 | weak | (a (2 a + 2 b - c) (2 a - b + 2 c)) |
| 90 | weak | (a (a^3 - a^2 b - a b^2 + b^3 + a^2 c + b^2 c - a c^2 - b c^2 - c^3) (a3 + a^2 b - a b^2 - b^3 - a^2 c - b^2 c - a c^2 + b c^2 + c^3)) |
| 91 | weak | (b c (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) ( a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 92 | weak | (b c ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 99 | weak | ((a - b) (a + b) ((-a) + c) (a + c)) |
| 100 | weak | (a (a - b) ((-a) + c)) |
| 101 | weak | (a^2 (a - b) ((-a) + c)) |
| 102 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 - a^3 c + a^2 b c + a b^2 c - b^3 c + a^2 c^2 - 2 a b c^2 + b^2 c^2 + a c^3 + b c^3 - 2 c^4) (a^4 - a^3 b + a^2 |
| 103 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 104 | weak | (a (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) ( a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 105 | weak | (a (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 106 | weak | (a^2 (a + b - 2 c) (a - 2 b + c)) |
| 107 | weak | ((a - b) ( a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2) |
| 108 | weak | (a (a - b) ( a + b - c) ((- a) + c) (a - b + c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2)) |
| 109 | weak | (a^2 (a - b) (a + b - c) ((-a) + c) (a - b + c)) |
| 110 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c)) |
| 112 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2)) |
| 115 | weak | ((b - c)^2 (b + c)^2) |
| 116 | weak | ((b - c)^2 ((-a) b + b^2 - a c + b c + c^2)) |
| 117 | weak | ((2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4) (a^4 b^2 - 2 a^2 b^4 + b |
| 118 | weak | ((2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) (a^3 b^2 - a^2 b^3 - a b^4 + b^5 + a^3 c^2 + 2 a b^2 c^2 - b^3 c^2 - a^2 c^3 - b^2 c^3 |
| 119 | weak | ((a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^ |
| 120 | weak | ((- a) b + b^2 - a c + c^2) (a^2 b + b^3 + a^2 c - 2 a b c - b^2 c - b c^2 + c^3)) |
| 121 | weak | ((2 a - b - c) (a b^2 + b^3 - 2 b^2 c + a c^2 - 2 b c^2 + c^3)) |
| 122 | weak | ((b - c)^2 ( b + c)^2 ((-a^2) + b^2 + c^2)^2 ((-3) a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 123 | weak | ((a - b - c) ( b - c)^2 (a^2 - b^2 - c^2) (a^4 - b^4 + 2 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 - c^4)) |
| 124 | weak | ((a - b - c) (b - c)^2 (a^2 b - b^3 + a^2 c - a b c - c^3)) |
| 125 | weak | ((b - c)^2 (b + c)^2 ((-a^2) + b^2 + c^2)) |
| 127 | weak | ((b - c)^2 (b + c)^2 ((-a^2) + b^2 + c^2) ((-a^4) + b^4 + c^4)) |
| 130 | weak | (a^2 (b - c)^2 (b + c)^2(a^2 - b^2 - c^2)^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + 3 a^4 b^2 |
| 134 | weak | (a^2 (b - c)^2 (b + c)^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)^2 (a^12 - 4 a^10 b^2 + 6 a^ |
| 135 | weak | ((b - c)^2 (b + c)^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4) ((- a^6) + 3 a^4 b^2 - 3 a^2 b^4 + b |
| 136 | weak | ((b - c)^2 (b + c)^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 137 | weak | ((b - c)^2 (b + c)^2 ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 139 | weak | ((b - c)^2 (b + c)^2 ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4) ((-a^2) b^2 + b^4 - a^2 c2 - 2 b^2 c |
| 142 | weak | (- a) b + b^2 - a c - 2 b c + c^2) |
| 144 | weak | (3 a^2 - 2 a b - b^2 - 2 a c + 2 b c - c^2) |
| 145 | weak | (3 a - b - c) |
| 149 | weak | (a^3 - a^2 b + a b^2 - b^3 - a^2 c - a b c + b^2 c + a c^2 + b c^2 - c^3) |
| 150 | weak | (a^4 - a^3 b + a b^3 - b^4 - a^3 c + a^2 b c - a b^2 c + b^3 c - a b c^2 + a c^3 + b c^3 - c^4) |
| 151 | weak | (a^10 - a^9 b + a^8 b^2 + 2 a^7 b^3 - 8 a^6 b^4 + 8 a^4 b^6 - 2 a^3 b^7 - a2 b^8 + a b^9 - b^10 - a^9 c + 3 a^8 b c - 6 a^7 b^2 c + 2 a^6 |
| 152 | weak | (a^8 - a^7 b + 2 a^6 b^2 - 5 a^5 b^3 + 5 a^3 b^5 - 2 a^2 b^6 + a b^7 - b^8 - a^7 c + a^6 b c + a^5 b^2 c - a^4 b^3 c + a^3 b^4 c - a^2 b^5 |
| 153 | weak | (a^7 - a^6 b - a^5 b^2 + a^4 b^3 - a^3 b^4 + a^2 b^5 + a b^6 - b^7 - a^6 c + 7 a^5 b c - 5 a^4 b^2 c - 2 a^3 b^3 c + 5 a^2 b^4 c - 5 a b^5 |
| 158 | weak | (b c ((- a^2) + b^2 - c^2)^2 ((-a^2) - b^2 + c^2)^2) |
| 162 | weak | (a (a - b) (a + b) ((-a) + c) ( a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 163 | weak | (a^3 (a - b) (a + b) ((- a) + c) (a + c)) |
| 165 | weak | (a (3 a^2 - 2 a b - b^2 - 2 a c + 2 b c - c^2)) |
| 169 | weak | (a (a^3 - a^2 b + a b^2 - b^3 - a^2 c + b^2 c + a c^2 + b c^2 - c^3)) |
| 170 | weak | (a (a^5 b - 4 a^4 b^2 + 6 a^3 b^3 - 4 a^2 b^4 + a b^5 + a^5 c - a^4 b c - 2 a^3 b^2 c + 2 a^2 b^3 c + a b^4 c - b^5 c - 4 a^4 c^2 - 2 a^3 b c |
| 171 | weak | (a (a^2 + b c)) |
| 172 | weak | (a^2 (a^2 + b c)) |
| 181 | weak | (a^2 ( a + b - c) (a - b + c) (b + c)^2) |
| 189 | weak | ((a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^2 + b c^2 |
| 190 | weak | ((a - b) ((-a) + c)) |
| 191 | weak | (a (a^3 + a^2 b - a b^2 - b^3 + a^2 c - a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 192 | weak | (-a) b - a c + b c) |
| 196 | weak | ((a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 197 | weak | (a^2 (a^4 - b^4 + 2 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 - c^4)) |
| 198 | weak | (a^2 (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 199 | weak | (a^2 (a^4 + a^3 b - a b^3 - b^4 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 - a c^3 - b c^3 - c^4)) |
| 200 | weak | (a (a - b - c)^2) |
| 201 | weak | (a (a + b - c) (a - b + c) (b + c)^2 (a^2 - b^2 - c^2)) |
| 204 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 205 | weak | (a^3 (a^4 - b^4 + 2 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 - c^4)) |
| 207 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^6 - 2 a^5 b - a^4 b^2 + 4 a^3 b^3 - a^2 b^4 - 2 a b^5 + b^6 - 2 a^5 c - 2 a^ |
| 208 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 209 | weak | (a^2 (b + c) (a^2 b - b^3 + a^2 c + a b c - c^3)) |
| 210 | weak | (a (a - b - c) (b + c)) |
| 212 | weak | (a^3 (a - b - c) (a^2 - b^2 - c^2)) |
| 213 | weak | (a^3 (b + c)) |
| 214 | weak | (a (2 a - b - c) (a^2 - b^2 + b c - c^2)) |
| 215 | weak | (a^4 ( a - b - c) (a^2 - b^2 + b c - c^2)^2) |
| 218 | weak | (a^2 (a^2 - 2 a b + b^2 - 2 a c + c^2)) |
| 219 | weak | (a^2 (a - b - c) (a^2 - b^2 - c^2)) |
| 220 | weak | (a^2 (a - b - c)^2) |
| 221 | weak | (a^2 ( a + b - c) (a - b + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 222 | weak | (a^2 ( a + b - c) (a - b + c) (a^2 - b^2 - c^2)) |
| 223 | weak | (a (a + b - c) (a - b + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 224 | weak | (a (a^2 - b^2 - c^2) (a^4 - 2 a^3 b + 2 a b^3 - b^4 - 2 a^3 c - 2 a^2 b c + 2 b^2 c^2 + 2 a c^3 - c^4)) |
| 225 | weak | (( a + b - c) (a - b + c) (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 226 | weak | ((a + b - c) (a - b + c) ( b + c)) |
| 227 | weak | (a (a + b - c) (a - b + c) (b + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 228 | weak | (a^3 (b + c) (a^2 - b^2 - c^2)) |
| 229 | weak | (a (a + b) ( a + c) (a^4 - b^4 + a^2 b c + a b^2 c + a b c^2 + 2 b^2 c^2 - c^4)) |
| 238 | weak | (a (a^2 - b c)) |
| 239 | weak | (a^2 - b c) |
| 240 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 241 | weak | (a (a + b - c) (a - b + c) (a b - b^2 + a c - c^2)) |
| 242 | weak | ((a^2 - b c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 243 | weak | ((a - b - c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 244 | weak | (a (b - c)^2) |
| 245 | weak | (a (b - c)^2 (b + c) (a^7 - 2 a^5 b^2 + a^4 b^3 + a^3 b^4 - 2 a^2 b^5 + b^7 - a^5 b c + a^4 b^2 c + a^3 b^3 c - 2 a^2 b^4 c + b^6 c - 2 a^5 |
| 246 | weak | (a^2 (b - c)^2 (b + c)^2 (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 + 7 a^4 b^2 c^2 - 5 a^2 b^4 c^2 + 2 b^6 c^2 + 6 a^4 c^ |
| 247 | weak | ((b - c)^2 (b + c)^2 (a^10 - 4 a^8 b^2 + 5 a^6 b^4 - a^4 b^6 - 2 a^2 b^8 + b^10 - 4 a^8 c^2 + 7 a^6 b^2 c^2 - 6 a^4 b^4 c^2 + 5 a^2 b^6 c |
| 249 | weak | (a^2 ( a - b)^2 (a + b)^2 ((-a) + c)^2 (a + c)^2) |
| 250 | weak | (a^2 (a - b)^2 (a + b)^2((-a) + c)^2 (a + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) 14 |
| 255 | weak | (a^3 (a^2 - b^2 - c^2)^2) |
| 256 | weak | (a (b^2 + a c) ( a b + c^2)) |
| 257 | weak | ((b^2 + a c) ( a b + c^2)) |
| 261 | weak | ((a + b)^2 (a - b - c) ( a + c)^2) |
| 267 | weak | (a (a^3 + a^2 b + a b^2 + b^3 + a^2 c + a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + a b c - b^2 c + a c^2 + b c^ |
| 268 | weak | (a^2 (a - b - c) (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c |
| 269 | weak | (a (a + b - c)^2 (a - b + c)^2) |
| 270 | weak | (a ( a + b)^2 (a - b - c) (a + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 271 | weak | (a (a - b - c) (a^2 - b^2 - c^2) ( a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c |
| 272 | weak | ((a + b) (a + c) (a^3 + b^3 - a b c - a c^2 - b c^2) (a^3 - a b^2 - a b c - b^2 c + c^3)) 8 |
| 274 | weak | (b (a + b) c (a + c)) |
| 277 | weak | ((a^2 - 2 a b + b^2 - 2 b c + c^2) (a^2 + b^2 - 2 a c - 2 b c + c^2)) |
| 278 | weak | (( a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 279 | weak | ((a + b - c)^2 (a - b + c)^2) |
| 280 | weak | ((a - b - c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c |
| 281 | weak | ((a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 282 | weak | (a ( a - b - c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - |
| 283 | weak | (a^2 (a + b) (a - b - c) (a + c) ( a^2 - b^2 - c^2)) |
| 284 | weak | (a^2 (a + b) (a - b - c) (a + c)) |
| 285 | weak | (a (a + b) (a - b - c) (a + c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 |
| 286 | weak | (b (a + b) c (a + c) ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 291 | weak | (a ((-b^2) + a c) (a b - c^2)) |
| 292 | weak | (a^2 ((-b^2) + a c) (a b - c^2)) |
| 293 | weak | (a (a^2 - b^2 - c^2) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 294 | weak | (a ( a - b - c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 295 | weak | (a^2 ((-b^2) + a c) (a b - c^2) (a^2 - b^2 - c^2)) |
| 304 | weak | (b c ((-a^2) + b^2 + c^2)) |
| 306 | weak | ((b + c) ((-a^2) + b^2 + c^2)) |
| 307 | weak | ((a + b - c) ( a - b + c) (b + c) (a^2 - b^2 - c^2)) |
| 309 | weak | (b c (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) ( a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^2 + b |
| 310 | weak | (b^2 (a + b) c^2 (a + c)) |
| 312 | weak | (b c ((-a) + b + c)) |
| 313 | weak | (b^2 c^2 (b + c)) |
| 314 | weak | (b (a + b) c (a + c) ((-a) + b + c)) |
| 318 | weak | (b c ((-a) + b + c) ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 319 | weak | (a^2 - b^2 - b c - c^2) |
| 320 | weak | (a^2 - b^2 + b c - c^2) |
| 321 | weak | (b c (b + c)) |
| 322 | weak | (b c ((-a^3) - a^2 b + a b^2 + b^3 - a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 + c^3)) |
| 326 | weak | (a (a^2 - b^2 - c^2)^2) |
| 329 | weak | (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3) |
| 330 | weak | ((a b - a c - b c) ((-a) b + a c - b c)) |
| 331 | weak | (b^2 ((-a) + b - c) c^2 ((- a) - b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 332 | weak | ((a + b) (a - b - c) (a + c) (a^2 - b^2 - c^2)) |
| 333 | weak | (( a + b) (a - b - c) (a + c)) |
| 334 | weak | (b c (b^2 - a c) ((-a) b + c^2)) |
| 335 | weak | (( b^2 - a c) ((-a) b + c^2)) |
| 336 | weak | (b c ((-a^2) + b^2 + c^2) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 337 | weak | ((b^2 - a c) ((-a) b + c^2) ((-a^2) + b^2 + c^2)) |
| 338 | weak | (b^2 ( b - c)^2 c^2 (b + c)^2) |
| 339 | weak | (b^2 (b - c)^2 c^2 (b + c)^2 ((-a^2) + b^2 + c^2)) |
| 341 | weak | (b c ((-a) + b + c)^2) |
| 342 | weak | (b ((-a) + b - c) c ((-a) - b + c) ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((- a^3) - a^2 b + a b^2 + b^3 - a^2 c + 2 a b c - b^2 c + a c^2 - b c |
| 344 | weak | (a^2 - 2 a b + b^2 - 2 a c + c^2) |
| 345 | weak | ((a - b - c) (a^2 - b^2 - c^2)) |
| 346 | weak | ((a - b - c)^2) |
| 347 | weak | ((a + b - c) (a - b + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 348 | weak | ((a + b - c) (a - b + c) (a^2 - b^2 - c^2)) |
| 349 | weak | (b^2 ((-a) + b - c) c^2 ((-a) - b + c) (b + c)) |
| 350 | weak | (b c ((-a^2) + b c)) |
| 351 | weak | (a^2 (b - c) (b + c) (2 a^2 - b^2 - c^2)) |
| 354 | weak | (a (a b - b^2 + a c + 2 b c - c^2)) |
| 355 | weak | (a^4 - a^3 b + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a b c^2 + 2 b^2 c^2 + a c^3 - c^4) |
| 374 | weak | (a (a^3 b + a^2 b^2 - a b^3 - b^4 + a^3 c - 6 a^2 b c + 5 a b^2 c + a^2 c^2 + 5 a b c^2 + 2 b^2 c^2 - a c^3 - c^4)) |
| 375 | weak | (a^2 (a^2 b^2 - b^4 - a b^2 c + b^3 c + a^2 c^2 - a b c^2 + 4 b^2 c^2 + b c^3 - c^4)) |
| 377 | weak | (a^4 - b^4 + 2 a^2 b c + 2 a b^2 c + 2 a b c^2 + 2 b^2 c^2 - c^4) |
| 379 | weak | (a^5 - a b^4 + a^2 b^2 c - b^4 c + a^2 b c^2 + 2 a b^2 c^2 + b^3 c^2 + b^2 c^3 - a c^4 - b c^4) |
| 380 | weak | (a (a - b - c) (3 a^3 + 3 a^2 b + a b^2 + b^3 + 3 a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 + c^3)) |
| 386 | weak | (a^2 (a b + b^2 + a c + b c + c^2)) |
| 387 | weak | (a^4 + 4 a^3 b + 2 a^2 b^2 + b^4 + 4 a^3 c + 4 a^2 b c + 2 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 388 | weak | ((a + b - c) (a - b + c) (a^2 + b^2 + 2 b c + c^2)) |
| 390 | weak | ((a - b - c) (3 a^2 + b^2 - 2 b c + c^2)) |
| 391 | weak | ((a - b - c) (3 a + b + c)) |
| 392 | weak | (a (a^2 b - b^3 + a^2 c - 4 a b c - b^2 c - b c^2 - c^3)) |
| 404 | weak | (a (a^3 - a b^2 + a b c + b^2 c - a c^2 + b c^2)) |
| 405 | weak | (a (a^3 - a b^2 - 2 a b c - 2 b^2 c - a c^2 - 2 b c^2)) |
| 406 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 407 | weak | ((b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((-2) a^2 - a b + b^2 - a c - 2 b c + c^2)) |
| 408 | weak | (a^3 (b + c) (a^2 - b^2 - c^2)^2 (a^4 b + a^3 b^2 - a^2 b^3 - a b^4 + a^4 c + a^2 b^2 c - 2 b^4 c + a^3 c^2 + a^2 b c^2 + 2 a b^2 c^2 + 2 b |
| 409 | weak | (a ( a + b) (a + c) (a^4 - a^3 b + a b^3 - b^4 - a^3 c + a^2 b c + a b^2 c + b^3 c + a b c^2 + 4 b^2 c^2 + a c^3 + b c^3 - c^4)) |
| 411 | weak | (a (a^6 - a^5 b - 2 a^4 b^2 + 2 a^3 b^3 + a^2 b^4 - a b^5 - a^5 c - a^4 b c + a b^4 c + b^5 c - 2 a^4 c^2 + 2 a^2 b^2 c^2 + 2 a^3 c^3 - 2 b |
| 412 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^6 + a^5 b - 2 a^4 b^2 - 2 a^3 b^3 + a^2 b^4 + a b^5 + a^5 c - a^4 b c - a b^4 c + b^5 c - 2 a^4 c^2 |
| 413 | weak | (a (a + b) (a - b - c)^3(a + c) (a^4 + a^3 b + a b^3 + b^4 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 + a c^3 - b c^3 + c^4)) |
| 414 | weak | ((a + b) (a - b - c)^3 (a + c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^8 b^2 + 2 a^7 b^3 - a^6 b^4 - 4 a^5 b^5 - a^4 b^6 + 2 a^3 b^7 + a^2 b |
| 415 | weak | (( a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 - 2 a^2 b + b^3 - 2 a^2 c + a b c + c^3)) |
| 416 | weak | (a (a + b) (a + c) (a^7 b^2 - a^6 b^3 - 2 a^5 b^4 + 2 a^4 b^5 + a^3 b^6 - a^2 b^7 + a^7 b c - a^6 b^2 c - a^5 b^3 c + 2 a^4 b^4 c - a^3 b^ |
| 422 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a b c - b^2 c - b c^2)) |
| 423 | weak | ((a + b) (a + c) (a^2 + b2 - c^2) (a^2 + a b - b^2 + a c - b c - c^2) (a^2 - b^2 + c^2)) |
| 424 | weak | ((b + c) ((-a^2) + b^2 - c^2) ((- a^2) - b^2 + c^2) ((-a^3) b - a^2 b^2 + a b^3 + b^4 - a^3 c - a^2 c^2 + a c^3 + c^4)) |
| 425 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^6 - a^5 b - a^4 b^2 + a^3 b^3 - a^5 c + a^4 b c + a^3 b^2 c - b^5 c - a^4 c^2 + a^3 |
| 429 | weak | ((b + c) ((-a^2) + b^2 - c^2)) ((-a^2) - b^2 + c^2) (a b + b^2 + a c + c^2)) |
| 430 | weak | ((b + c) (2 a + b + c) ((-a^2) + b^2 - c^2) ((- a^2) - b^2 + c^2)) |
| 431 | weak | ((b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c + 2 a^3 b c + 2 a^2 b^2 c - b^4 c + 2 a^2 b c^2 - 2 a^2 c^ |
| 437 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (5 a^6 - 6 a^5 b - 8 a^4 b^2 + 11 a^3 b^3 - 5 a b^5 + 3 b^6 - 6 a^5 c + 18 a^4 b c - 5 a^3 b^2 c - 12 a |
| 440 | weak | ((b + c) ((-a^2) + b^2 + c^2) (2 a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 442 | weak | ((b + c) ((-a^2) b + b^3 - a^2 c - 2 a b c - b^2 c - b c^2 + c^3)) |
| 443 | weak | (a^4 - b^4 + 4 a^2 b c + 4 a b^2 c + 4 a b c^2 + 2 b^2 c^2 - c^4) |
| 444 | weak | (a (a^2 + b c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a b + b^2 + a c + c^2)) |
| 445 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 447 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^3 b + a b^3 - b^4 - a^3 c + a^2 b c + a b^2 c - b^3 c + a b c^2 + a c^3 - b c^3 - |
| 448 | weak | ((a + b) (a + c) (a^6 - a^5 b - a^4 b^2 + a^3 b^3 - a^5 c - a^4 b c + a^3 b^2 c + b^5 c - a^4 c^2 + a^3 b c^2 + a^3 c^3 - 2 b^3 c^3 + b c^5)) |
| 449 | weak | (2 a^8 - 3 a^6 b^2 + a^4 b^4 - a^2 b^6 + b^8 - 8 a^6 b c - 8 a^5 b^2 c + 4 a^4 b^3 c + 4 a^3 b^4 c + 4 a^2 b^5 c + 4 a b^6 c - 3 a^6 c^2 - |
| 451 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 452 | weak | ((a - b - c) (3 a^3 + 3 a^2 b + a b^2 + b^3 + 3 a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 + c^3)) |
| 453 | weak | (a (a + b) (a - b - c) (a + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)^2) |
| 461 | weak | ((a - b - c) (3 a + b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 464 | weak | (( a^2 - b^2 - c^2) (a^4 + 4 a^3 b + 2 a^2 b^2 + b^4 + 4 a^3 c + 4 a^2 b c + 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 469 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a b + b^2 + a c + b c + c^2)) |
| 474 | weak | (a (a^3 - a b^2 + 2 a b c + 2 b^2 c - a c^2 + 2 b c^2)) |
| 475 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + 2 a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 476 | weak | ((a - b) (a + b) ((- a) + c) (a + c) (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2)) |
| 478 | weak | (a^2 (a + b - c) (a - b + c) (a4 - b^4 + 2 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 - c^4)) |
| 479 | weak | ((a + b - c)^3 (a - b + c)^3) |
| 480 | weak | (a^2 (a - b - c)^3) |
| 484 | weak | (a (a^3 + a^2 b - a b^2 - b^3 + a^2 c - a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 495 | weak | (-a^2) b^2 + b^4 - 4 a^2 b c - a^2 c^2 - 2 b^2 c^2 + c^4) 4 |
| 497 | weak | ((a - b - c) (a^2 + b^2 - 2 b c + c^2)) |
| 498 | weak | (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 b c - 2 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 499 | weak | (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 b c - 2 a^2 c^2 - 2 b^2 c^2 + c^4) |
| 500 | weak | (a^2 (a^2 - b^2 - b c - c^2) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 501 | weak | (a^2 (a + b) (a + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 502 | weak | (( b + c) ((-a^3) - a^2 b + a b^2 + b^3 - a^2 c - a b c + b^2 c - a c^2 - b c^2 - c^3) ((-a^3) - a^2 b - a b^2 - b^3 - a^2 c - a b c - b^2 c + a c^ |
| 506 | weak | ((a + b - c) (a - b + c) (a ((-a) + b + c))^(2/3) |
| 507 | weak | ((a + b - c) (a - b + c) (a ((-a) + b + c))^(3/4) |
| 512 | weak | (a^2 (b - c) (b + c)) |
| 513 | weak | (a (b - c)) |
| 514 | weak | (b - c) |
| 515 | weak | (2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4) |
| 516 | weak | (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) |
| 517 | weak | (a (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 518 | weak | (a (a b - b^2 + a c - c^2)) |
| 519 | weak | (2 a - b - c) |
| 520 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2)^2) |
| 521 | weak | (a (a - b - c) ( b - c) (a^2 - b^2 - c^2)) |
| 522 | weak | ((a - b - c) (b - c)) |
| 523 | weak | ((b - c) (b + c)) |
| 525 | weak | ((b - c) (b + c) ((- a^2) + b^2 + c^2)) |
| 526 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2)) |
| 527 | weak | (2 a^2 - a b - b^2 - a c + 2 b c - c^2) |
| 528 | weak | (2 a^3 - 2 a^2 b + a b^2 - b^3 - 2 a^2 c + b^2 c + a c^2 + b c^2 - c^3) |
| 529 | weak | (2 a^4 - a^2 b^2 - b^4 + 4 a^2 b c - 2 a b^2 c - a^2 c^2 - 2 a b c^2 + 2 b^2 c^2 - c^4) |
| 534 | weak | (2 a^5 + a^4 b - 2 a b^4 - b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - 2 a^2 b c^2 + 4 a b^2 c^2 - 2 a c^4 + b c^4 - c^5) |
| 535 | weak | (2 a^4 - a^2 b^2 - b^4 + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 - c^4) |
| 536 | weak | (-a) b - a c + 2 b c) |
| 537 | weak | (a^2 b - 2 a b^2 + a^2 c + b^2 c - 2 a c^2 + b c^2) |
| 540 | weak | (2 a^4 + 2 a^3 b - a b^3 - b^4 + 2 a^3 c + 2 a^2 b c - a b^2 c - b^3 c - a b c^2 - a c^3 - b c^3 - c^4) |
| 544 | weak | (2 a^4 - 2 a^3 b + a b^3 - b^4 - 2 a^3 c + 2 a^2 b c - a b^2 c + b^3 c - a b c^2 + a c^3 + b c^3 - c^4) |
| 545 | weak | (2 a^2 - 2 a b - b^2 - 2 a c + 4 b c - c^2) |
| 551 | weak | (4 a + b + c) |
| 552 | weak | ((a + b)^2 (a + b - c) (a + c)^2 (a - b + c)) |
| 553 | weak | ((a + b - c) ( a - b + c) (2 a + b + c)) |
| 560 | weak | (a^5) |
| 561 | weak | (b^3 c^3) |
| 563 | weak | (a^5 (a^2 - b^2 - c^2) ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 564 | weak | (b c (a^4 b^4 - 2 a^2 b^6 + b^8 + 2 a^2 b^4 c^2 - 4 b^6 c^2 + a^4 c^4 + 2 a^2 b^2 c^4 + 6 b^4 c^4 - 2 a^2 c^6 - 4 b^2 c^6 + c^8)) |
| 572 | weak | (a^2 (a^3 - a b^2 + a b c - b^2 c - a c^2 - b c^2)) |
| 573 | weak | (a^2 (a^2 b - b^3 + a^2 c - a b c - c^3)) |
| 579 | weak | (a^2 (a^2 b - b^3 + a^2 c + a b c - c^3)) |
| 580 | weak | (a^2 (a^5 - 2 a^3 b^2 + a b^4 - a^3 b c - a^2 b^2 c + a b^3 c + b^4 c - 2 a^3 c^2 - a^2 b c^2 - b^3 c^2 + a b c^3 - b^2 c^3 + a c^4 + b c^4)) |
| 581 | weak | (a^2 (a^4 b - 2 a^2 b^3 + b^5 + a^4 c + a^3 b c - a^2 b^2 c - a b^3 c - a^2 b c^2 - 2 a b^2 c^2 - b^3 c^2 - 2 a^2 c^3 - a b c^3 - b^2 c^3 + c |
| 582 | weak | (a^2 (a^5 - 2 a^3 b^2 + a b^4 - 2 a^3 b c - a^2 b^2 c + 2 a b^3 c + b^4 c - 2 a^3 c^2 - a^2 b c^2 - b^3 c^2 + 2 a b c^3 - b^2 c^3 + a c^4 + b |
| 583 | weak | (a^2 (a^2 b - b^3 + a^2 c + 2 a b c - c^3)) 5 |
| 593 | weak | (a^2 (a + b)^2 (a + c)^2) |
| 594 | weak | ((b + c)^2) |
| 595 | weak | (a^2 (a^2 + a b + a c - b c)) |
| 596 | weak | ((a b + b^2 - a c + b c) ((-a) b + a c + b c + c^2)) |
| 600 | weak | (a^2 (2 a^2 - a b + 2 b^2 - 2 c^2) (2 a^2 - 2 b^2 - a c + 2 c^2) ( a^2 b^2 + a^2 c^2 - b^2 c^2)) |
| 601 | weak | (a^3 (a^4 - 2 a^2 b^2 + b^4 + 2 a2 b c - 2 b^3 c - 2 a^2 c^2 - 2 b^2 c^2 - 2 b c^3 + c^4)) |
| 602 | weak | (a^3 (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 b c + 2 b^3 c - 2 a^2 c^2 - 2 b^2 c^2 + 2 b c^3 + c^4)) |
| 603 | weak | (a^3 (a + b - c) (a - b + c) (a^2 - b^2 - c^2)) |
| 604 | weak | (a^3 (a + b - c) (a - b + c)) |
| 607 | weak | (a^2 (a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 608 | weak | (a^2 (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) 8 |
| 609 | weak | (a^2 (2 a^2 + b c)) |
| 610 | weak | (a (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 611 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 b c - 2 b^3 c - 2 a^2 c^2 - 2 b^2 c^2 - 2 b c^3 + c^4)) |
| 612 | weak | (a (a^2 + b^2 + 2 b c + c^2)) |
| 613 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 b c + 2 b^3 c - 2 a^2 c^2 - 2 b^2 c^2 + 2 b c^3 + c^4)) |
| 614 | weak | (a ( a^2 + b^2 - 2 b c + c^2)) |
| 643 | weak | (a (a - b) (a + b) (a - b - c) ((-a) + c) (a + c)) |
| 644 | weak | (a ( a - b) (a - b - c) ((-a) + c)) |
| 645 | weak | ((a - b) (a + b) (a - b - c) ((-a) + c) (a + c)) |
| 646 | weak | ((a - b) b (a - b - c) c ((-a) + c)) |
| 647 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2)) |
| 649 | weak | (a^2 (b - c)) |
| 650 | weak | (a (a - b - c) (b - c)) |
| 651 | weak | (a (a - b) (a + b - c) ((-a) + c) (a - b + c)) |
| 652 | weak | (a^2 (a - b - c) ( b - c) (a^2 - b^2 - c^2)) |
| 653 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 654 | weak | (a^2 (a - b - c) (b - c) (a^2 - b^2 + b c - c^2)) |
| 655 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) (a^2 - a b + b^2 - c^2) ( a^2 - b^2 - a c + c^2)) |
| 656 | weak | (a (b - c) (b + c) ( a^2 - b^2 - c^2)) |
| 657 | weak | (a^2 (a - b - c)^2 (b - c)) |
| 658 | weak | ((a - b) (a + b - c)^2 ((-a) + c) (a - b + c)^2) |
| 659 | weak | (a (b - c) (a^2 - b c)) |
| 660 | weak | (a (a - b) ((-a) + c) ((-b^2) + a c) (a b - c^2)) |
| 661 | weak | (a (b - c) (b + c)) |
| 662 | weak | (a (a - b) (a + b) ((-a) + c) (a + c)) |
| 663 | weak | (a^2 (a - b - c) (b - c)) |
| 664 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c)) |
| 665 | weak | (a^2 (b - c) (a b - b^2 + a c - c^2)) |
| 666 | weak | ((a - b) ((-a) + c) ( a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 667 | weak | (a^3 (b - c)) |
| 668 | weak | ((a - b) b c ((-a) + c)) |
| 669 | weak | (a^4 (b - c) (b + c)) |
| 670 | weak | ((a - b) b^2 (a + b) c^2 ((-a) + c) (a + c)) |
| 672 | weak | (a^2 (a b - b^2 + a c - c^2)) |
| 673 | weak | ((a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 674 | weak | (a^2 (a b^2 - b^3 + a c^2 - c^3)) |
| 675 | weak | ((a^3 + b^3 - a^2 c - b^2 c) (a^3 - a^2 b - b c^2 + c^3)) |
| 676 | weak | ((b - c) ((-2) a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 677 | weak | (a^2 (a - b) ((-a) + c) (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 678 | weak | (a (2 a - b - c)^2) |
| 679 | weak | (a (a + b - 2 c)^2 (a - 2 b + c)^2) |
| 680 | weak | (a^3 (b - c) ( a^2 - b^2 - c^2)^2 (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 b c - 2 a^2 b^3 c + b^5 c + a^4 c^2 - b^4 c^2 - 2 a^2 b c^3 - 2 b^3 c^3 - |
| 681 | weak | ((a - b) b c ((-a) + c) ((-a^2) + b^2 - c^2)^2 ((-a^2) - b^2 + c^2)^2 (a^6 + a^5 b - a^4 b^2 - 2 a^3 b^3 - a^2 b^4 + a b^5 + b^6 - 2 a^4 c^2 |
| 684 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 685 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 686 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 687 | weak | ((a - b) (a + b) ((-a) + c) (a + c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 + 2 a^2 b^2 c^2 - 2 b^4 c^ |
| 688 | weak | (a^4 (b - c) (b + c) (b^2 + c^2)) |
| 689 | weak | ((a - b) b^2 (a + b) (a^2 + b^2) c^2 ((-a) + c) (a + c) (a^2 + c^2)) |
| 690 | weak | ((b - c) (b + c) ((-2) a^2 + b^2 + c^2)) |
| 691 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - 2 c^2) (a^2 - 2 b^2 + c^2)) |
| 692 | weak | (a^3 (a - b) ((-a) + c)) |
| 693 | weak | (b (b - c) c) |
| 694 | weak | (a^2 ((-b^2) + a c) (b^2 + a c) (a b - c^2) (a b + c^2)) |
| 696 | weak | (-a) b^4 + b^4 c - a c^4 + b c^4) |
| 697 | weak | (a^2 (a^4 b + a b^4 - a^4 c - b^4 c) ((-a^4) b + a^4 c + a c^4 - b c^4)) |
| 700 | weak | (-a^3) b^4 + b^4 c^3 - a^3 c^4 + b^3 c^4) |
| 701 | weak | (a^2 (a^4 b^3 + a^3 b^4 - a^4 c^3 - b^4 c^3) ((-a^4) b^3 + a^4 c^3 + a^3 c^4 - b^3 c^4)) |
| 704 | weak | (-a^5) b^4 - a^5 c^4 + b^5 c^4 + b^4 c^5) |
| 705 | weak | (a^2 ((-a^4) b^5 + a^5 c^4 - b^5 c^4 + a^4 c^5) ( a^5 b^4 + a^4 b^5 - a^4 c^5 - b^4 c^5)) |
| 708 | weak | (-a^7) b^4 - a^7 c^4 + b^7 c^4 + b^4 c^7) |
| 709 | weak | (a^2 ((-a^4) b^7 + a^7 c^4 - b^7 c^4 + a^4 c^7) (a^7 b^4 + a^4 b^7 - a^4 c^7 - b^4 c^7)) |
| 710 | weak | ((-a^2) + b c) (a^2 + b c) (a^4 + b^2 c^2) (b^4 + c^4)) |
| 711 | weak | (a^2 (a^4 + b^4) ((-b^2) + a c) (b^2 + a c) (a b - c^2) ( a b + c^2) (b^4 + a^2 c^2) (a^4 + c^4) (a^2 b^2 + c^4)) |
| 712 | weak | (- a) b^3 + b^3 c - a c^3 + b c^3) |
| 713 | weak | (a^2 (a^3 b + a b^3 - a^3 c - b^3 c) ((-a^3) b + a^3 c + a c^3 - b c^3)) |
| 714 | weak | ((b + c) ((- a^2) b^2 + a^2 b c - a^2 c^2 + b^2 c^2)) |
| 715 | weak | (a^2 (a + b) (a + c) ((-a^2) b^2 + a b^2 c + a^2 c^2 - b^2 c^2) (a^2 b^2 - a^2 c^2 + a b c^2 - b^2 c^2)) |
| 716 | weak | (-a^3) b^3 - a^3 c^3 + 2 b^3 c^3) |
| 717 | weak | (a^2 (2 a^3 b^3 - a^3 c^3 - b^3 c^3) ((-a^3) b^3 + 2 a^3 c^3 - b^3 c^3)) |
| 718 | weak | ((b + c) ((-a^4) b^2 + a^4 b c - a^4 c^2 + b^3 c^3)) |
| 719 | weak | (a^2 (a + b) (a + c) ((-a^2) b^4 + a b^4 c - b^4 c^2 + a^3 c^3) (a^3 b^3 - a^2 c^4 + a b c^4 - b^2 c^4)) |
| 720 | weak | (- a^5) b^3 - a^5 c^3 + b^5 c^3 + b^3 c^5) |
| 721 | weak | (a^2 ((-a^3) b^5 + a^5 c^3 - b^5 c^3 + a^3 c^5) (a^5 b^3 + a^3 b^5 - a^3 c^5 - b^3 c^5)) |
| 722 | weak | ((b + c) ((-a^2) + b c) ( b^2 - b c + c^2) (a^4 + a^2 b c + b^2 c^2)) |
| 723 | weak | (a^2 (a + b) (a^2 - a b + b^2) (a + c) ((-b^2) + a c) (a b - c^2) (a^2 - a c + c^2) (b^4 + a b^2 c + a^2 c^2) (a^2 b^2 + a b c^2 + c^4)) |
| 724 | weak | (a^7 b^3 + a^7 c^3 - b^7 c^3 - b^3 c^7) |
| 725 | weak | (a^2 ((-a^3) b^7 + a^7 c^3 - b^7 c^3 + a^3 c^7) (a^7 b^3 + a^3 b^7 - a^3 c^7 - b^3 c^7)) |
| 726 | weak | (-a) b^2 + b^2 c - a c^2 + b c^2) |
| 727 | weak | (a^2 (a^2 b + a b^2 - a^2 c - b^2 c) ((-a^2) b + a^2 c + a c^2 - b c^2)) |
| 728 | weak | (a (a - b - c)^3) |
| 730 | weak | (-a^3) b^2 - a^3 c^2 + b^3 c^2 + b^2 c^3) |
| 731 | weak | (a^2 ((-a^2) b^3 + a^3 c^2 - b^3 c^2 + a^2 c^3) (a^3 b^2 + a^2 b^3 - a^2 c^3 - b^2 c^3)) |
| 733 | weak | (a^2 (a^2 + b^2) ((-b^2) + a c) (b^2 + a c) (a b - c^2) (a^2 + c^2) (a b + c^2)) |
| 734 | weak | (a^5 b^2 + a^5 c^2 - b^5 c^2 - b^2 c^5) |
| 735 | weak | (a^2 ((- a^2) b^5 + a^5 c^2 - b^5 c^2 + a^2 c^5) (a^5 b^2 + a^2 b^5 - a^2 c^5 - b^2 c^5)) |
| 738 | weak | (a (a + b - c)^3 (a - b + c)^3) |
| 739 | weak | (a^2 (2 a b - a c - b c) ((-a) b + 2 a c - b c)) |
| 740 | weak | ((b + c) ((-a^2) + b c)) |
| 741 | weak | (a^2 (a + b) (a + c) ( b^2 - a c) ((-a) b + c^2)) |
| 742 | weak | (a^3 b + a^3 c - b^3 c - b c^3) |
| 744 | weak | ((b + c) (a^4 - b^3 c + b^2 c^2 - b c^3)) |
| 745 | weak | (a^2 (a + b) ( a + c) ((-b^4) + a^3 c - a^2 c^2 + a c^3) (a^3 b - a^2 b^2 + a b^3 - c^4)) |
| 746 | weak | (a^5 b + a^5 c - b^5 c - b c^5) |
| 747 | weak | (a^2 (a b^5 - a^5 c + b^5 c - a c^5) ((- a^5) b - a b^5 + a c^5 + b c^5)) |
| 748 | weak | (a (a^2 - 2 b c)) |
| 749 | weak | (a ((-b^2) + 2 a c) (2 a b - c^2)) |
| 750 | weak | (a (a^2 + 2 b c)) |
| 751 | weak | (a (b^2 + 2 a c) (2 a b + c^2)) |
| 752 | weak | (2 a^3 - b^3 - c^3) |
| 753 | weak | (a^2 (a^3 + b^3 - 2 c^3) (a^3 - 2 b^3 + c^3)) |
| 756 | weak | (a (b + c)^2) |
| 757 | weak | (a (a + b)^2 (a + c)^2) |
| 758 | weak | (a (b + c) (a^2 - b^2 + b c - c^2)) |
| 759 | weak | (a (a + b) (a + c) (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 760 | weak | (a (a^3 b - b^4 + a^3 c - c^4)) |
| 761 | weak | (a (a^4 + b^4 - a c^3 - b c^3) (a^4 - a b^3 - b^3 c + c^4)) |
| 762 | weak | (a (b + c)^3) |
| 763 | weak | (a (a + b)^3 (a + c)^3) |
| 764 | weak | (a (b - c)^3) |
| 765 | weak | (a (a - b)^2 ((-a) + c)^2) |
| 766 | weak | (a^3 (a b^3 - b^4 + a c^3 - c^4)) |
| 767 | weak | (b c (a^4 + b^4 - a^3 c - b^3 c) (a^4 - a^3 b - b c^3 + c^4)) |
| 768 | weak | ((b - c) ( a b^3 + a b^2 c + b^3 c + a b c^2 + b^2 c^2 + a c^3 + b c^3)) |
| 769 | weak | (a^2 (a - b) ((-a) + c) (a^3 b + a^2 b^2 + a b^3 + a^3 c + a^2 b c + a b^2 c + b^3 c) (a^3 b + a^3 c + a^2 b c + a^2 c^2 + a b c^2 + a c^3 + |
| 770 | weak | (a (a - b - c) (b - c) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 b c - b^5 c + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 + 2 b^3 c^3 - 2 a^2 c^4 - b^2 c^4 - b c |
| 771 | weak | (a (a - b) ( a + b - c) ((-a) + c) (a - b + c) (a^6 - a^5 b - a^4 b^2 + 2 a^3 b^3 - a^2 b^4 - a b^5 + b^6 - 2 a^4 c^2 + 4 a^2 b^2 c^2 - 2 b^4 c^ |
| 772 | weak | ((b - c) (a^3 b^3 + a^3 b^2 c + a^3 b c^2 + a^3 c^3 + b^3 c^3)) |
| 773 | weak | (a^2 (a - b) ((-a) + c) ( a^3 b^3 + a^2 b^3 c + a b^3 c^2 + a^3 c^3 + b^3 c^3) (a^3 b^3 + a^3 c^3 + a^2 b c^3 + a b^2 c^3 + b^3 c^3)) |
| 774 | weak | (a (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 775 | weak | (a (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 + 4 a^2 b^2 c^2 - 2 b^4 c^2 + a^2 c^4 + b^2 c^4) (a^6 - 2 a^4 b^2 + a^2 b^4 - a^4 c^2 + 4 |
| 776 | weak | ((b - c) ((-a^5) b^3 - a^5 b^2 c - a^5 b c^2 - a^5 c^3 + b^4 c^4)) |
| 777 | weak | (a^2 (a - b) ((-a) + c) ((-a^3) b^5 - a^2 b^5 c - a b^5 c^2 - b^5 c^3 + a^4 c^4) (a^4 b^4 - a^3 c^5 - a^2 b c^5 - a b^2 c^5 - b^3 c^5)) |
| 778 | weak | ((b - c) (b + c) ((- a^6) b^2 - a^6 c^2 + b^4 c^4)) |
| 779 | weak | (a^2 (a - b) (a + b) ((- a) + c) (a + c) ((-a^2) b^6 - b^6 c^2 + a^4 c^4) (a^4 b^4 - a^2 c^6 - b^2 c^6)) |
| 780 | weak | ((b - c) ((-a^7) b^3 - a^7 b^2 c - a^7 b c^2 - a^7 c^3 + b^6 c^4 + b^5 c^5 + b^4 c^6)) |
| 781 | weak | (a^2 (a - b) ((-a) + c) ((-a^3) b^7 - a^2 b^7 c - a b^7 c^2 - b^7 c^3 + a^6 c^4 + a^5 c^5 + a^4 c^6) (a^6 b^4 + a^5 b^5 + a^4 b^6 - a^3 c^ |
| 782 | weak | ((b - c) (b + c) ((- a^2) + b c) (a^2 + b c) (b^2 + c^2) (a^4 + b^2 c^2)) |
| 783 | weak | (a^2 (a - b) (a + b) (a^2 + b^2) ((-a) + c) (a + c) ((-b^2) + a c) ( b^2 + a c) (a b - c^2) (a^2 + c^2) (a b + c^2) (b^4 + a^2 c^2) (a^2 b^2 + c^ |
| 784 | weak | ((b - c) (a b^2 + a b c + b^2 c + a c^2 + b c^2)) |
| 785 | weak | (a^2 (a - b) ((-a) + c) (a^2 b + a b^2 + a^2 c + a b c + b^2 c) (a^2 b + a^2 c + a b c + a c^2 + b c^2)) |
| 786 | weak | ((b - c) (a^2 b^2 + a^2 b c + a^2 c^2 + b^2 c^2)) |
| 787 | weak | (a^2 (a - b) ((- a) + c) (a^2 b^2 + a b^2 c + a^2 c^2 + b^2 c^2) (a^2 b^2 + a^2 c^2 + a b c^2 + b^2 c^2)) |
| 788 | weak | (a^3 (b - c) (b^2 + b c + c^2)) |
| 789 | weak | (b ((-a) + b) (a^2 + a b + b^2) (a - c) c (a^2 + a c + c^2)) |
| 790 | weak | (( b - c) ((-a^4) b^2 - a^4 b c - a^4 c^2 + b^3 c^3)) |
| 791 | weak | (a^2 (a - b) ((-a) + c) ((-a^2) b^4 - a b^4 c - b^4 c^2 + a^3 c^3) (a^3 b^3 - a^2 c^4 - a b c^4 - b^2 c^4)) |
| 792 | weak | ((b - c) ((-a^5) b^2 - a^5 b c - a^5 c^2 + b^4 c^3 + b^3 c^4)) |
| 793 | weak | (a^2 (a - b) ((-a) + c) ((-a^2) b^5 - a b^5 c - b^5 c^2 + a^4 c^3 + a^3 c^4) (a^4 b^3 + a^3 b^4 - a^2 c^5 - a b c^5 - b^2 c^5)) |
| 794 | weak | ((b - c) ((- a^2) + b c) (b^2 + b c + c^2) (a^4 + a^2 b c + b^2 c^2)) |
| 795 | weak | (a^2 (a - b) (a^2 + a b + b^2) ((-a) + c) ((-b^2) + a c) (a b - c^2) (a^2 + a c + c^2) (b^4 + a b^2 c + a^2 c^2) (a^2 b^2 + a b c^2 + c^4)) |
| 796 | weak | ((b - c) ((-a^7) b^2 - a^7 b c - a^7 c^2 + b^6 c^3 + b^5 c^4 + b^4 c^5 + b^3 c^6)) |
| 797 | weak | (a^2 (a - b) ((-a) + c) ((-a^2) b^7 - a b^7 c - b^7 c^2 + a^6 c^3 + a^5 c^4 + a^4 c^5 + a^3 c^6) (a^6 b^3 + a^5 b^4 + a^4 b^5 + a^3 b^6 - |
| 798 | weak | (a^3 (b - c) (b + c)) |
| 799 | weak | ((a - b) b (a + b) c ((-a) + c) (a + c)) |
| 802 | weak | ((b - c) ((-a^3) b - a^3 c + b^2 c^2)) |
| 803 | weak | (a^2 (a - b) ((-a) + c) ((-a) b^3 - b^3 c + a^2 c^2) (a^2 b^2 - a c^3 - b c^3)) |
| 804 | weak | ((b - c) (b + c) ((- a^2) + b c) (a^2 + b c)) |
| 805 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) ((-b^2) + a c) (b^2 + a c) (a b - c^2) (a b + c^2)) |
| 806 | weak | ((b - c) ((-a^5) b - a^5 c + b^4 c^2 + b^3 c^3 + b^2 c^4)) |
| 807 | weak | (a^2 (a - b) ((-a) + c) ((-a) b^5 - b^5 c + a^4 c^2 + a^3 c^3 + a^2 c^4) (a^4 b^2 + a^3 b^3 + a^2 b^4 - a c^5 - b c^5)) |
| 808 | weak | ((b - c) (b + c) ((-a^6) + b^4 c^2 + b^2 c^4)) |
| 809 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) ((-b^6) + a^4 c^2 + a^2 c^4) (a^4 b^2 + a^2 b^4 - c^6)) |
| 810 | weak | (a^3 (b - c) (b + c) (a^2 - b^2 - c^2)) |
| 811 | weak | ((a - b) b (a + b) c ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 812 | weak | ((b - c) ((-a^2) + b c)) |
| 813 | weak | (a^2 (a - b) ((-a) + c) ((-b^2) + a c) (a b - c^2)) |
| 814 | weak | ((b - c) ((-a^3) + b^2 c + b c^2)) |
| 815 | weak | (a^2 (a - b) ((-a) + c) ((- b^3) + a^2 c + a c^2) (a^2 b + a b^2 - c^3)) |
| 816 | weak | ((b - c) (a^4 - b^3 c - b^2 c^2 - b c^3)) |
| 817 | weak | (a^2 ( a - b) ((-a) + c) ((-b^4) + a^3 c + a^2 c^2 + a c^3) (a^3 b + a^2 b^2 + a b^3 - c^4)) |
| 818 | weak | (( b - c) (a^5 - b^4 c - b^3 c^2 - b^2 c^3 - b c^4)) |
| 819 | weak | (a^2 (a - b) ((-a) + c) ((-b^5) + a^4 c + a^3 c^2 + a^2 c^3 + a c^4) (a^4 b + a^3 b^2 + a^2 b^3 + a b^4 - c^5)) |
| 820 | weak | (a^3 (a^2 - b^2 - c^2)^2 (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 821 | weak | (b c ((- a^2) + b^2 - c^2)^2 ((- a^2) - b^2 + c^2)^2 (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 2 a^4 c^2 + 4 a^2 b^2 c^2 - 2 b^4 c^2 + a^2 c^4 + b^ |
| 822 | weak | (a^3 (b - c) (b + c) (a^2 - b^2 - c^2)^2) |
| 823 | weak | ((a - b) b ( a + b) c ((-a) + c) (a + c) (a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2) |
| 824 | weak | ((b - c) (b^2 + b c + c^2)) |
| 825 | weak | (a^2 (a - b) (a^2 + a b + b^2) ((-a) + c) (a^2 + a c + c^2)) |
| 826 | weak | ((b - c) ( b + c) (b^2 + c^2)) |
| 827 | weak | (a^2 (a - b) (a + b) ( a^2 + b^2) ((- a) + c) (a + c) (a^2 + c^2)) |
| 828 | weak | (a^3 (b + c) (a^2 - b^2 - c^2)^2 (a^4 b^2 - 2 a^2 b^4 + b^6 - a^4 b c + 2 a^2 b^3 c - b^5 c + a^4 c^2 - b^4 c^2 + 2 a^2 b c^3 + 2 b^3 c^3 - |
| 829 | weak | (b (a + b) c (a + c) ((-a^2) + b^2 - c^2)^2 ((-a^2) - b^2 + c^2)^2 ( a^6 - a^5 b - a^4 b^2 + 2 a^3 b^3 - a^2 b^4 - a b^5 + b^6 - 2 a^4 c^2 + |
| 830 | weak | (a (b - c) (a^2 + b^2 + b c + c^2)) |
| 831 | weak | (a (a - b) ((- a) + c) (a^2 + a b + b^2 + c^2) (a^2 + b^2 + a c + c^2)) |
| 832 | weak | (a (b - c) (a^3 + b^3 + b^2 c + b c^2 + c^3)) |
| 833 | weak | (a (a - b) ((-a) + c) (a^3 + a^2 b + a b^2 + b^3 + c^3) (a^3 + b^3 + a^2 c + a c^2 + c^3)) |
| 834 | weak | (a^2 (b - c) (a b + b^2 + a c + b c + c^2)) |
| 835 | weak | ((a - b) ((-a) + c) (a^2 + a b + b^2 + a c + b c) (a^2 + a b + a c + b c + c^2)) |
| 836 | weak | (a^2 (b + c) (a^2 - b^2 - c^2)^2 ( a^4 - 2 a^2 b^2 + b^4 + 4 a^2 b c - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 837 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2 (a^4 - 2 a^2 b^2 + b^4 + 4 a b^2 c - 2 a^2 c^2 - 2 b^2 c^2 + c^4) (a^4 - 2 a^2 b^2 |
| 838 | weak | (a^3 (b - c) (a b^2 + b^3 + a b c + b^2 c + a c^2 + b c^2 + c^3)) |
| 839 | weak | ((a - b) b c ((-a) + c) ( a^3 + a^2 b + a b^2 + b^3 + a^2 c + a b c + b^2 c) (a^3 + a^2 b + a^2 c + a b c + a c^2 + b c^2 + c^3)) |
| 840 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 - a^2 c - b^2 c + 2 a c^2 + 2 b c^2 - 2 c^3) (a^3 - a^2 b + 2 a b^2 - 2 b^3 - a^2 c + 2 b^2 c - a c^2 - b c^2 + |
| 846 | weak | (a (a^2 - a b - b^2 - a c - b c - c^2)) |
| 849 | weak | (a^3 (a + b)^2 (a + c)^2) |
| 850 | weak | (b^2 (b - c) c^2 (b + c)) |
| 851 | weak | (a (b + c) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 853 | weak | (a^2 (a - b - c) (a^5 b^2 - a^4 b^3 - a^3 b^4 + a^2 b^5 + a^4 b^2 c - a^2 b^4 c + a^5 c^2 + a^4 b c^2 - 2 b^5 c^2 - a^4 c^3 + 2 b^4 c^3 - a |
| 854 | weak | (a^2 (a^5 b^2 + a^4 b^3 - a^3 b^4 - a^2 b^5 - a^4 b^2 c + a^2 b^4 c + a^5 c^2 - a^4 b c^2 + 2 b^5 c^2 + a^4 c^3 - 2 b^4 c^3 - a^3 c^4 + |
| 855 | weak | (a (a^5 b + a^4 b^2 - a^3 b^3 - a^2 b^4 + a^5 c - 2 a^4 b c + a^2 b^3 c - a b^4 c + b^5 c + a^4 c^2 + a b^3 c^2 - a^3 c^3 + a^2 b c^3 + a b |
| 856 | weak | (a (b + c) (a^2 - b^2 - c^2) (a^6 - 2 a^4 b^2 + a^2 b^4 + 3 a^4 b c - 2 a^2 b^3 c - b^5 c - 2 a^4 c^2 + 2 a^2 b^2 c^2 - 2 a^2 b c^3 + 2 b^3 c |
| 857 | weak | ((b + c) ((-a^4) + b^4 + a^2 b c - b^3 c - b c^3 + c^4)) |
| 859 | weak | (a^2 (a + b) (a + c) ( a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 860 | weak | ((b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((-a^2) + b^2 - b c + c^2)) |
| 861 | weak | (a (a - b - c) (a^5 b - a^4 b^2 - a^3 b^3 + a^2 b^4 + a^5 c + 2 a^4 b c - a^2 b^3 c - a b^4 c - b^5 c - a^4 c^2 + a b^3 c^2 - a^3 c^3 - a^2 b c |
| 862 | weak | (a (b + c) (a^2 - b c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 863 | weak | (a^3 (b + c) (a^4 b^2 - a^2 b^4 - a^4 b c + a^2 b^3 c + a^4 c^2 - a^2 b^2 c^2 + b^4 c^2 + a^2 b c^3 - 2 b^3 c^3 - a^2 c^4 + b^2 c^4)) |
| 865 | weak | (a^2 (b - c)^2 (b + c)^2 (a^6 - a^4 b^2 - a^4 c^2 + 3 a^2 b^2 c^2 - b^4 c^2 - b^2 c^4)) |
| 866 | weak | (a (b - c)^2 (a^5 - a^3 b^2 - a^3 b c + a^2 b^2 c + a b^3 c - b^4 c - a^3 c^2 + a^2 b c^2 + 2 a b^2 c^2 - b^3 c^2 + a b c^3 - b^2 c^3 - b c^4) |
| 867 | weak | ((b - c)^2 ((-a^4) + a^3 b - a b^3 + b^4 + a^3 c - a^2 b c - a b^2 c + b^3 c - a b c^2 - a c^3 + b c^3 + c^4)) |
| 868 | weak | ((b - c)^2 (b + c)^2 ((-a^2) b^2 + b^4 - a^2 c^2 + c^4)) |
| 869 | weak | (a^3 (b^2 + b c + c^2)) |
| 870 | weak | (b (a^2 + a b + b^2) c (a^2 + a c + c^2)) 6 |
| 871 | weak | (b^3 (a^2 + a b + b^2) c^3 (a^2 + a c + c^2)) |
| 872 | weak | (a^3 (b + c)^2) |
| 874 | weak | ((a - b) b c ((-a) + c) (a^2 - b c)) |
| 875 | weak | (a^3 (b - c) ((-b^2) + a c) (a b - c^2)) |
| 876 | weak | (a (b - c) ((-b^2) + a c) (a b - c^2)) |
| 877 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 878 | weak | (a^2 (b - c) ( b + c) (a^2 - b^2 - c^2) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 879 | weak | ((b - c) ( b + c) ((-a^2) + b^2 + c^2) (a^4 + b^4 - a^2 c^2 - b^2 c^2) ( a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 880 | weak | ((a - b) b^2 ( a + b) c^2 ((-a) + c) (a + c) ( a^2 - b c) (a^2 + b c)) |
| 881 | weak | (a^4 (b - c) (b + c) ((-b^2) + a c) (b^2 + a c) (a b - c^2) (a b + c^2)) |
| 882 | weak | (a^2 (b - c) (b + c) ((-b^2) + a c) (b^2 + a c) (a b - c^2) ( a b + c^2)) |
| 883 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) (a b - b^2 + a c - c^2)) |
| 884 | weak | (a^2 (a - b - c) (b - c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 885 | weak | ((a - b - c) (b - c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 886 | weak | ((a - b) b^2 (a + b) c^2 ((-a) + c) (a + c) (2 a^2 b^2 - a^2 c^2 - b^2 c^2) ((-a^2) b^2 + 2 a^2 c^2 - b^2 c^2)) |
| 887 | weak | (a^4 (b - c) (b + c) (a^2 b^2 + a^2 c^2 - 2 b^2 c^2)) |
| 888 | weak | (a^2 (b - c) (b + c) ( a^2 b^2 + a^2 c^2 - 2 b^2 c^2)) |
| 889 | weak | ((a - b) b c ((-a) + c) (2 a b - a c - b c) ((-a) b + 2 a c - b c)) |
| 890 | weak | (a^3 (b - c) (a b + a c - 2 b c)) |
| 891 | weak | (a (b - c) (a b + a c - 2 b c)) |
| 892 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - 2 c^2) ( a^2 - 2 b^2 + c^2)) |
| 893 | weak | (a^2 (b^2 + a c) ( a b + c^2)) |
| 894 | weak | (a^2 + b c) |
| 896 | weak | (a (2 a^2 - b^2 - c^2)) |
| 897 | weak | (a (a^2 + b^2 - 2 c^2) (a^2 - 2 b^2 + c^2)) |
| 898 | weak | (a (a - b) ((-a) + c) (2 a b - a c - b c) ((-a) b + 2 a c - b c)) |
| 899 | weak | (a (a b + a c - 2 b c)) |
| 900 | weak | ((2 a - b - c) (b - c)) |
| 901 | weak | (a^2 (a - b) (a + b - 2 c) ((-a) + c) (a - 2 b + c)) |
| 902 | weak | (a^2 (2 a - b - c)) |
| 903 | weak | ((a + b - 2 c) (a - 2 b + c)) |
| 904 | weak | (a^3 (b^2 + a c) (a b + c^2)) |
| 905 | weak | (a (b - c) (a^2 - b^2 - c^2)) |
| 906 | weak | (a^3 (a - b) ((-a) + c) (a^2 - b^2 - c^2)) |
| 907 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + 3 b^2 + c^2) (a^2 + b^2 + 3 c^2)) |
| 908 | weak | (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) |
| 909 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) ( a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) 8 |
| 910 | weak | (a ( 2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)) |
| 911 | weak | (a^3 (a^3 - a^2 b - a b^2 + b3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 912 | weak | (a (a^2 - b^2 - c^2) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4)) |
| 913 | weak | (a^2 ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - a^3 c + a^2 b c + a b^2 c - b^3 c - a^2 c^2 - b^2 c^2 + a c^3 + b c^3) (a |
| 914 | weak | ((a^2 - b^2 - c^2) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4)) |
| 915 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^4 - 2 a^2 b^2 + b^4 - a^3 c + a^2 b c + a b^2 c - b^3 c - a^2 c^2 - b^2 c^2 + a c^3 + b c^3) (a^4 |
| 916 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 b^2 - a^2 b^3 - a b^4 + b^5 + a^3 c^2 + 2 a b^2 c^2 - b^3 c^2 - a^2 c^3 - b^2 c^3 - a c^4 + c^5)) |
| 917 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^5 - a^3 b^2 - a^2 b^3 + b^5 - a^4 c + 2 a^2 b^2 c - b^4 c - a^3 c^2 - b^3 c^2 + a^2 c^3 + b^2 c^3) |
| 918 | weak | ((b - c) ((-a) b + b^2 - a c + c^2)) |
| 920 | weak | (a (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c^2 - 2 a^2 b^2 c^2 + b^4 c^2 + 3 a^2 c^4 + b^2 c^4 - c^6)) |
| 921 | weak | (a (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 3 a^4 c^2 + 2 a^2 b^2 c^2 - 3 b^4 c^2 + 3 a^2 c^4 + 3 b^2 c^4 - c^6) (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b |
| 922 | weak | (a^3 (2 a^2 - b^2 - c^2)) |
| 923 | weak | (a^3 (a^2 + b^2 - 2 c^2) (a^2 - 2 b^2 + c^2)) |
| 924 | weak | (a^2 (b - c) (b + c) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 925 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 926 | weak | (a^2 (a - b - c) (b - c) (a b - b^2 + a c - c^2)) |
| 927 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 928 | weak | (a^2 (b - c) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c - 2 a^2 b c + a b^2 c - a^2 c^2 + a b c^2 - a c^3 + c^4)) |
| 929 | weak | ((a - b) ((-a) + c) (a^4 + b^4 - a^3 c + a^2 b c + a b^2 c - b^3 c - a^2 c^2 - 2 a b c^2 - b^2 c^2 + a c^3 + b c^3) ( a^4 - a^3 b - a^2 b^2 + a |
| 930 | weak | ((a - b) (a + b) ((- a) + c) (a + c) (a^4 - a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) ( a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 931 | weak | (a (a - b) (a + b) ((-a) + c) (a + c) (a b + b^2 + 2 a c + b c) (2 a b + a c + b c + c^2)) |
| 932 | weak | (a (a - b) ((-a) + c) (a b - a c - b c) ((-a) b + a c - b c)) 7 |
| 933 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^ |
| 935 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 + b^4 - c^4) (a^4 - b^4 - a^2 c^2 + c^4)) |
| 936 | weak | (a ( a^3 - a^2 b - a b^2 + b^3 - a^2 c + 2 a b c + 3 b^2 c - a c^2 + 3 b c^2 + c^3)) |
| 937 | weak | (a (a^3 + 3 a^2 b + 3 a b^2 + b^3 - a^2 c + 2 a b c - b^2 c - a c^2 - b c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 + 3 a^2 c + 2 a b c - b^2 c + 3 a |
| 938 | weak | (a^4 - 2 a^3 b + 2 a b^3 - b^4 - 2 a^3 c - 4 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4) |
| 939 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 - 2 a^3 c + 2 a^2 b c + 2 a b^2 c - 2 b^3 c + 4 a b c^2 + 2 a c^3 + 2 b c^3 - c^4) (a^4 - 2 a^3 b + 2 a b^3 - b^4 |
| 940 | weak | (a (a^2 + a b + a c + 2 b c)) |
| 941 | weak | (a (a b + b^2 + 2 a c + b c) (2 a b + a c + b c + c^2)) |
| 942 | weak | (a (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 943 | weak | (a (a^3 - a^2 b - a b^2 + b^3 - 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c - 2 a b c - b^2 c - a c^2 + c^3)) |
| 944 | weak | (3 a^4 - 2 a^3 b - 2 a^2 b^2 + 2 a b^3 - b^4 - 2 a^3 c + 4 a^2 b c - 2 a b^2 c - 2 a^2 c^2 - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4) |
| 945 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 - 2 a^3 c + 2 a^2 b c + 2 a b^2 c - 2 b^3 c + 2 a^2 c^2 - 4 a b c^2 + 2 b^2 c^2 + 2 a c^3 + 2 b c^3 - 3 c^4) (a^4 |
| 946 | weak | (a^3 b + a^2 b^2 - a b^3 - b^4 + a^3 c - 2 a^2 b c + a b^2 c + a^2 c^2 + a b c^2 + 2 b^2 c^2 - a c^3 - c^4) |
| 947 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 + a^3 c - a^2 b c - a b^2 c + b^3 c - a^2 c^2 + 2 a b c^2 - b^2 c^2 - a c^3 - b c^3) (a^4 + a^3 b - a^2 b^2 - a b |
| 948 | weak | ((a + b - c) (a - b + c) (a^3 - a^2 b + a b^2 - b^3 - a^2 c + 2 a b c + b^2 c + a c^2 + b c^2 - c^3)) |
| 949 | weak | (a^2 (a - b - c) (a^3 - a^2 b - a b^2 + b^3 - a^2 c - 2 a b c - b^2 c + a c^2 + b c^2 - c^3) (a^3 - a^2 b + a b^2 - b^3 - a^2 c - 2 a b c + b^2 c - |
| 950 | weak | ((a - b - c) (2 a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 951 | weak | (a^2 ( a + b - c) (a - b + c) (a^3 + a b^2 + 2 b^3 - a^2 c + b^2 c - a c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 + 2 c^3)) |
| 952 | weak | (2 a^4 - 2 a^3 b - a^2 b^2 + 2 a b^3 - b^4 - 2 a^3 c + 4 a^2 b c - 2 a b^2 c - a^2 c^2 - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4) |
| 953 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 - 2 a^3 c + 2 a^2 b c + 2 a b^2 c - 2 b^3 c + a^2 c^2 - 4 a b c^2 + b^2 c^2 + 2 a c^3 + 2 b c^3 - 2 c^4) (a^4 - 2 |
| 954 | weak | (a (a^5 - 2 a^4 b + 2 a^2 b^3 - a b^4 - 2 a^4 c + 4 a^2 b^2 c - 2 b^4 c + 4 a^2 b c^2 + 2 a b^2 c^2 + 2 b^3 c^2 + 2 a^2 c^3 + 2 b^2 c^3 - a |
| 955 | weak | (a ( a^4 b - 2 a^3 b^2 + 2 a b^4 - b^5 + 2 a^4 c - 4 a^2 b^2 c + 2 b^4 c - 2 a^3 c^2 - 2 a^2 b c^2 - 4 a b^2 c^2 - 2 a^2 c^3 - 2 b^2 c^3 + 2 a |
| 956 | weak | (a (a^3 - a b^2 + 2 a b c - 2 b^2 c - a c^2 - 2 b c^2)) |
| 957 | weak | (a (a^2 b - b^3 + 2 a^2 c - 2 a b c + 2 a c^2 + b c^2) (2 a^2 b + 2 a b^2 + a^2 c - 2 a b c + b^2 c - c^3)) |
| 958 | weak | (a (a - b - c) (a^2 + a b + a c + 2 b c)) |
| 959 | weak | (a (a + b - c) (a - b + c) (a b + b^2 + 2 a c + b c) (2 a b + a c + b c + c^2)) |
| 960 | weak | (a (a - b - c) (a b + b^2 + a c + c^2)) |
| 961 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 + a c + b c) (a^2 + a b + b c + c^2)) |
| 962 | weak | (a^4 + 2 a^3 b - 2 a b^3 - b^4 + 2 a^3 c - 4 a^2 b c + 2 a b^2 c + 2 a b c^2 + 2 b^2 c^2 - 2 a c^3 - c^4) |
| 963 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 + 2 a^3 c - 2 a^2 b c - 2 a b^2 c + 2 b^3 c + 4 a b c^2 - 2 a c^3 - 2 b c^3 - c^4) (a^4 + 2 a^3 b - 2 a b^3 - b^4 - |
| 964 | weak | (a^4 + a^3 b + a^2 b^2 + a b^3 + a^3 c + 2 a^2 b c + 2 a b^2 c + b^3 c + a^2 c^2 + 2 a b c^2 + 2 b^2 c^2 + a c^3 + b c^3) |
| 965 | weak | (a (a^4 - a^3 b - a^2 b^2 + a b^3 - a^3 c + 3 a b^2 c + 2 b^3 c - a^2 c^2 + 3 a b c^2 + 4 b^2 c^2 + a c^3 + 2 b c^3)) |
| 966 | weak | (a^2 - 2 a b - b^2 - 2 a c - 2 b c - c^2) |
| 967 | weak | (a^2 (a^2 + 2 a b + b^2 + 2 a c + 2 b c - c^2) (a^2 + 2 a b - b^2 + 2 a c + 2 b c + c^2)) |
| 968 | weak | (a (a^2 - 2 a b - b^2 - 2 a c - 2 b c - c^2)) |
| 969 | weak | (a (a^2 + 2 a b + b^2 + 2 a c + 2 b c - c^2) (a^2 + 2 a b - b^2 + 2 a c + 2 b c + c^2)) |
| 970 | weak | (a^2 (a^3 b^2 + a^2 b^3 - a b^4 - b^5 + 2 a^3 b c + a^2 b^2 c - 2 a b^3 c - b^4 c + a^3 c^2 + a^2 b c^2 + a^2 c^3 - 2 a b c^3 - a c^4 - b c^ |
| 971 | weak | (a (a^4 b - 2 a^3 b^2 + 2 a b^4 - b^5 + a^4 c + 2 a^3 b c - 2 a b^3 c - b^4 c - 2 a^3 c^2 + 2 b^3 c^2 - 2 a b c^3 + 2 b^2 c^3 + 2 a c^4 - b c^ |
| 972 | weak | (a (a^5 + a^4 b - 2 a^3 b^2 - 2 a^2 b^3 + a b^4 + b^5 - 2 a^4 c + 2 a^3 b c + 2 a b^3 c - 2 b^4 c + 2 a^2 c^3 - 2 a b c^3 + 2 b^2 c^3 - a c^4 |
| 975 | weak | (a ( a^3 + a^2 b + a b^2 + b^3 + a^2 c + 4 a b c + 3 b^2 c + a c^2 + 3 b c^2 + c^3)) |
| 976 | weak | (a (a^3 + b^3 + b^2 c + b c^2 + c^3)) |
| 977 | weak | (a (a^3 + a^2 b + a b^2 + b^3 + c^3) (a^3 + b^3 + a^2 c + a c^2 + c^3)) |
| 978 | weak | (a (a^2 b + a b^2 + a^2 c - a b c - b^2 c + a c^2 - b c^2)) |
| 979 | weak | (a (a^2 b + a b^2 - a^2 c + a b c - b^2 c - a c^2 - b c^2) ((-a^2) b - a b^2 + a^2 c + a b c - b^2 c + a c^2 - b c^2)) |
| 980 | weak | (a (a^2 b^2 + a b^3 + a^2 b c + a b^2 c + b^3 c + a^2 c^2 + a b c^2 + a c^3 + b c^3)) |
| 981 | weak | (a (a^3 b + a b^3 + a^3 c + a^2 b c + a b^2 c + b^3 c + a^2 c^2 + a b c^2 + b^2 c^2) (a^3 b + a^2 b^2 + a^3 c + a^2 b c + a b^2 c + a b c^2 |
| 982 | weak | (a (b^2 - b c + c^2)) |
| 983 | weak | (a (a^2 - a b + b^2) (a^2 - a c + c^2)) |
| 984 | weak | (a (b^2 + b c + c^2)) |
| 985 | weak | (a (a^2 + a b + b^2) (a^2 + a c + c^2)) |
| 986 | weak | (a (a b^2 + b^3 + a b c + a c^2 + c^3)) |
| 987 | weak | (a (a^3 + b^3 + a^2 c + a b c + b^2 c) (a^3 + a^2 b + a b c + b c^2 + c^3)) |
| 988 | weak | (a (a^3 - a^2 b - 3 a b^2 - b^3 - a^2 c - b^2 c - 3 a c^2 - b c^2 - c^3)) |
| 989 | weak | (a (a^3 + a^2 b + a b^2 + b^3 + 3 a^2 c + 3 b^2 c + a c^2 + b c^2 - c^3) ( a^3 + 3 a^2 b + a b^2 - b^3 + a^2 c + b^2 c + a c^2 + 3 b c^2 + c |
| 990 | weak | (a ( a^5 - a^4 b - a b^4 + b^5 - a^4 c - 2 a^3 b c + 2 a b^3 c + b^4 c - 2 a b^2 c^2 - 2 b^3 c^2 + 2 a b c^3 - 2 b^2 c^3 - a c^4 + b c^4 + c^5)) |
| 991 | weak | (a^2 (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + a^2 b c - a b^2 c - b^3 c - a^2 c^2 - a b c^2 - a c^3 - b c^3 + c^4)) |
| 992 | weak | (a (a^3 b + a^2 b^2 + a^3 c - a b^2 c - b^3 c + a^2 c^2 - a b c^2 - 2 b^2 c^2 - b c^3)) |
| 993 | weak | (a (a^3 - a b^2 - b^2 c - a c^2 - b c^2)) |
| 994 | weak | (a (a^2 b - b^3 + a^2 c + a c^2 + b c^2) (a^2 b + a b^2 + a^2 c + b^2 c - c^3)) |
| 995 | weak | (a^2 (a b + b^2 + a c - b c + c^2)) |
| 996 | weak | ((a^2 - a b + b^2 + a c + b c) (a^2 + a b - a c + b c + c^2)) |
| 997 | weak | (a (a^3 - a^2 b - a b^2 + b^3 - a^2 c + 2 a b c + b^2 c - a c^2 + b c^2 + c^3)) |
| 998 | weak | (a (a^3 + a^2 b + a b^2 + b^3 - a^2 c + 2 a b c - b^2 c - a c^2 - b c^2 + c^3) ( a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c - b^2 c + a c^2 - b |
| 999 | weak | (a^2 (a^2 - b^2 + 4 b c - c^2)) |
| 1000 | weak | ((a^2 - 4 a b + b^2 - c^2) (a^2 - b^2 - 4 a c + c^2)) |
| 1001 | weak | (a (a^2 - a b - a c - 2 b c)) |
| 1002 | weak | (a (a b - b^2 + 2 a c + b c) (2 a b + a c + b c - c^2)) |
| 1004 | weak | (a (a^5 - 2 a^4 b + 2 a^2 b^3 - a b^4 - 2 a^4 c + 2 b^4 c - 2 a b^2 c^2 - 2 b^3 c^2 + 2 a^2 c^3 - 2 b^2 c^3 - a c^4 + 2 b c^4)) |
| 1005 | weak | (a (a^5 - 2 a^4 b + 2 a^2 b^3 - a b^4 - 2 a^4 c - a^3 b c + a^2 b^2 c + a b^3 c + b^4 c + a^2 b c^2 + 4 a b^2 c^2 - b^3 c^2 + 2 a^2 c^3 + a |
| 1006 | weak | (a (a^6 - a^5 b - 2 a^4 b^2 + 2 a^3 b^3 + a^2 b^4 - a b^5 - a^5 c - a^4 b c + 2 a^2 b^3 c + a b^4 c - b^5 c - 2 a^4 c^2 + 2 a^2 b^2 c^2 + 2 |
| 1008 | weak | (a^5 b + a^4 b^2 + a^3 b^3 + a^2 b^4 + a^5 c + 2 a^4 b c + 2 a^3 b^2 c + 2 a^2 b^3 c + a b^4 c + a^4 c^2 + 2 a^3 b c^2 + 3 a^2 b^2 c^2 + |
| 1009 | weak | (a (a^4 b - a^2 b^3 + a^4 c + 2 a^3 b c + b^4 c + b^3 c^2 - a^2 c^3 + b^2 c^3 + b c^4)) |
| 1010 | weak | ((a + b) (a + c) (a^2 + b^2 + 2 b c + c^2)) |
| 1011 | weak | (a^2 (a^3 b - a b^3 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 - 2 b^2 c^2 - a c^3 - b c^3)) |
| 1012 | weak | (a (a^6 - a^5 b - 2 a^4 b^2 + 2 a^3 b^3 + a^2 b^4 - a b^5 - a^5 c + 4 a^4 b c - 2 a^2 b^3 c + a b^4 c - 2 b^5 c - 2 a^4 c^2 + 2 a^2 b^2 c^2 |
| 1013 | weak | (a (a^2 + b^2 - c^2) (a2 - b^2 + c^2) (a^4 - a^3 b - a^2 b^2 + a b^3 - a^3 c + a b^2 c - a^2 c^2 + a b c^2 + 2 b^2 c^2 + a c^3)) |
| 1014 | weak | (a (a + b) ( a + b - c) (a + c) (a - b + c)) |
| 1015 | weak | (a^2 (b - c)^2) |
| 1016 | weak | ((a - b)^2 ((- a) + c)^2) |
| 1017 | weak | (a^2 (2 a - b - c)^2) |
| 1018 | weak | (a (a - b) ((-a) + c) (b + c)) |
| 1019 | weak | (a (a + b) (b - c) (a + c)) |
| 1020 | weak | (a (a - b) (a + b - c)^2 ((-a) + c) (a - b + c)^2 (b + c)) |
| 1021 | weak | (a ( a + b) (a - b - c)^2 (b - c) (a + c)) |
| 1022 | weak | (a (a + b - 2 c) (b - c) (a - 2 b + c)) |
| 1023 | weak | (a (a - b) ( 2 a - b - c) ((-a) + c)) |
| 1024 | weak | (a (a - b - c) (b - c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 1025 | weak | (a (a - b) (a + b - c) ((-a) + c) (a - b + c) ( a b - b^2 + a c - c^2)) |
| 1026 | weak | (a (a - b) ((-a) + c) ( a b - b^2 + a c - c^2)) |
| 1027 | weak | (a (b - c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 1029 | weak | ((a^3 + a^2 b + a b^2 + b^3 + a^2 c + a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + a b c - b^2 c + a c^2 + b c^2 |
| 1030 | weak | (a^2 (a^3 + a^2 b - a b^2 - b^3 + a^2 c - a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 1034 | weak | (( a - b - c) ( a^6 + 2 a^5 b - a^4 b^2 - 4 a^3 b^3 - a^2 b^4 + 2 a b^5 + b^6 - 2 a^5 c + 2 a^4 b c + 2 a b^4 c - 2 b^5 c - a^4 c^2 + 2 a^2 b^ |
| 1035 | weak | (a^2 (a + b - c) (a - b + c) (a^6 - 2 a^5 b - a^4 b^2 + 4 a^3 b^3 - a^2 b^4 - 2 a b^5 + b^6 - 2 a^5 c - 2 a^4 b c + 2 a b^4 c + 2 b^5 c - a^4 c |
| 1036 | weak | (a^2 (a - b - c) (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 1037 | weak | (a^2 ( a + b - c) (a - b + c) (a^2 - 2 a b + b^2 + c^2) (a^2 + b^2 - 2 a c + c^2)) |
| 1038 | weak | (a (a + b - c) (a - b + c) (a^2 - b^2 - c^2) (a^2 + b^2 + 2 b c + c^2)) |
| 1039 | weak | (a (a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 1040 | weak | (a (a - b - c) (a^2 - b^2 - c^2) (a^2 + b^2 - 2 b c + c^2)) |
| 1041 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^2 - 2 a b + b^2 + c^2) (a^2 + b^2 - 2 a c + c^2)) |
| 1042 | weak | (a^2 (a + b - c)^2 (a - b + c)^2 (b + c)) |
| 1043 | weak | ((a + b) (a - b - c)^2 (a + c)) |
| 1044 | weak | (a (a^5 b - 2 a^3 b^3 + a b^5 + a^5 c + 3 a^4 b c + 2 a^3 b^2 c - 2 a^2 b^3 c - 3 a b^4 c - b^5 c + 2 a^3 b c^2 + 2 a b^3 c^2 - 2 a^3 c^3 - 2 |
| 1045 | weak | (a (a^2 b^2 + a^2 b c + a b^2 c + a^2 c^2 + a b c^2 - b^2 c^2)) |
| 1046 | weak | (a (a^3 + 2 a^2 b - b^3 + 2 a^2 c + a b c - c^3)) |
| 1047 | weak | (a (a^7 b^2 + a^6 b^3 - 2 a^5 b^4 - 2 a^4 b^5 + a^3 b^6 + a^2 b^7 + a^7 b c + a^6 b^2 c - a^5 b^3 c - 2 a^4 b^4 c - a^3 b^5 c + a^2 b^6 c |
| 1048 | weak | (a (a^7 b^2 + a^6 b^3 - 2 a^5 b^4 - 2 a^4 b^5 + a^3 b^6 + a^2 b^7 + a^7 b c + 2 a^6 b^2 c - a^5 b^3 c - 4 a^4 b^4 c - a^3 b^5 c + 2 a^2 b |
| 1050 | weak | (a (a^4 b^2 + 2 a^3 b^3 + a^2 b^4 + a^4 b c - 3 a^3 b^2 c - 3 a^2 b^3 c + a b^4 c + a^4 c^2 - 3 a^3 b c^2 + 7 a^2 b^2 c^2 + a b^3 c^2 - b^ |
| 1051 | weak | (a (3 a^2 + 5 a b + b^2 + 5 a c + b c + c^2)) |
| 1052 | weak | (a (a^4 - 2 a^3 b - a^2 b^2 + 2 a b^3 - b^4 - 2 a^3 c + 8 a^2 b c - 4 a b^2 c + 2 b^3 c - a^2 c^2 - 4 a b c^2 - b^2 c^2 + 2 a c^3 + 2 b c^3 - c^ |
| 1053 | weak | (a (a^6 - 2 a^5 b + 2 a^4 b^2 - 2 a^3 b^3 + 2 a b^5 - b^6 - 2 a^5 c + 2 a^4 b c + 4 a^2 b^3 c - 6 a b^4 c + 2 b^5 c + 2 a^4 c^2 - 7 a^2 b^2 c |
| 1054 | weak | (a (a^2 - a b - b^2 - a c + 3 b c - c^2)) |
| 1055 | weak | (a^2 (2 a^2 - a b - b^2 - a c + 2 b c - c^2)) |
| 1056 | weak | (a^4 - b^4 + 8 a^2 b c + 2 b^2 c^2 - c^4) |
| 1057 | weak | (a^2 (a^4 - 2 a^2 b^2 + b^4 - 8 a b c^2 - c^4) (a^4 - b^4 - 8 a b^2 c - 2 a^2 c^2 + c^4)) |
| 1058 | weak | (a^4 - b^4 - 8 a^2 b c + 2 b^2 c^2 - c^4) |
| 1059 | weak | (a^2 ( a^4 - 2 a^2 b^2 + b^4 + 8 a b c^2 - c^4) (a^4 - b^4 + 8 a b^2 c - 2 a^2 c^2 + c^4)) |
| 1060 | weak | (a (a^2 - b^2 - c^2) (a^4 - b^4 + 2 a^2 b c + 2 b^2 c^2 - c^4)) |
| 1061 | weak | (a (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a b c^2 - c^4) (a^4 - b^4 - 2 a b^2 c - 2 a^2 c^2 + c^4)) |
| 1062 | weak | (a (a^2 - b^2 - c^2) (a^4 - b^4 - 2 a^2 b c + 2 b^2 c^2 - c^4)) |
| 1063 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) (a^4 - 2 a^2 b^2 + b^4 + 2 a b c^2 - c^4) ( a^4 - b^4 + 2 a b^2 c - 2 a^2 c^2 + c^4)) |
| 1064 | weak | (a^2 (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - b^4 c - 4 a b^2 c^2 - 2 a^2 c^3 - b c^4 + c^5)) |
| 1065 | weak | ((a^5 - a^4 b - a b^4 + b^5 - 4 a^2 b^2 c - 2 a^3 c^2 - 2 b^3 c^2 + a c^4 + b c^4) (a^5 - 2 a^3 b^2 + a b^4 - a^4 c + b^4 c - 4 a^2 b c^2 - 2 |
| 1066 | weak | (a^2 (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - b^4 c + 4 a b^2 c^2 - 2 a^2 c^3 - b c^4 + c^5)) |
| 1067 | weak | ((a^5 - a^4 b - a b^4 + b^5 + 4 a2 b^2 c - 2 a^3 c^2 - 2 b^3 c^2 + a c^4 + b c^4) (a^5 - 2 a^3 b^2 + a b^4 - a^4 c + b^4 c + 4 a^2 b c^2 - 2 |
| 1068 | weak | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)) |
| 1069 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + b^2 c - a c^2 - b c^2 - c^3) ( a^3 + a^2 b - a b^2 - b^3 - a^2 c - b^2 c - a c^2 + |
| 1070 | weak | (a^6 b - a^4 b^3 - a^2 b^5 + b^7 + a^6 c + a^4 b^2 c - a^2 b^4 c - b^6 c + a^4 b c^2 + 8 a^3 b^2 c^2 + 2 a^2 b^3 c^2 - 3 b^5 c^2 - a^4 c^ |
| 1071 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 b - a^2 b^2 + b^4 + a^3 c + 2 a^2 b c - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1072 | weak | (a^6 b - a^4 b^3 - a^2 b^5 + b^7 + a^6 c + a^4 b^2 c - a^2 b^4 c - b^6 c + a^4 b c^2 - 8 a^3 b^2 c^2 + 2 a^2 b^3 c^2 - 3 b^5 c^2 - a^4 c^3 |
| 1074 | weak | (a^6 b - a^4 b^3 - a^2 b^5 + b^7 + a^6 c - 4 a^5 b c + a^4 b^2 c + 4 a^3 b^3 c - a^2 b^4 c - b^6 c + a^4 b c^2 + 2 a^2 b^3 c^2 - 3 b^5c^2 - |
| 1076 | weak | (a^6 b - a^4 b^3 - a^2 b^5 + b^7 + a^6 c + 4 a^5 b c + a^4 b^2 c - 4 a^3 b^3 c - a^2 b^4 c - b^6 c + a^4 b c^2 + 2 a^2 b^3 c^2 - 3 b^5 c^2 |
| 1079 | weak | (a (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)^2) |
| 1083 | weak | (a (a^4 - a^3 b - a^3 c - a^2 b c + 2 a b^2 c - b^3 c + 2 a b c^2 - b c^3)) |
| 1084 | weak | (a^4 (b - c)^2 (b + c)^2) |
| 1086 | weak | ((b - c)^2) |
| 1087 | weak | (b c ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)^2) |
| 1088 | weak | (b ((-a) + b - c)^2 c ((-a) - b + c)^2) |
| 1089 | weak | (b c (b + c)^2) |
| 1090 | weak | (b (b - c)^4 c ((-a) + b + c)^2) |
| 1091 | weak | (b ((-a) + b - c)^2 c ((-a) - b + c)^2 (b + c)^4) |
| 1096 | weak | (a (a^2 + b^2 - c^2)^2 (a^2 - b2 + c^2)^2) |
| 1097 | weak | (b c ((-3) a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 2 b^2 c^2 + c^4)^2) |
| 1098 | weak | (a (a + b)^2 (a - b - c)^2 (a + c)^2) |
| 1099 | weak | (b c ((-2) a^4 + a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)^2) |
| 1100 | weak | (a (2 a + b + c)) |
| 1101 | weak | (a^3 (a - b)^2 (a + b)^2 ((-a) + c)^2 (a + c)^2) 11 |
| 1102 | weak | (a (a^2 - b^2 - c^2)^3) |
| 1103 | weak | (a ( a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)^2) |
| 1104 | weak | (a (2 a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 1106 | weak | (a^3 (a + b - c)^2 (a - b + c)^2) |
| 1107 | weak | (a (a b^2 + b^2 c + a c^2 + b c^2)) |
| 1108 | weak | (a (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + 2 a^2 b c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4)) |
| 1109 | weak | (b (b - c)^2 c (b + c)^2) |
| 1110 | weak | (a^3 (a - b)^2 ((- a) + c)^2) |
| 1111 | weak | (b (b - c)^2 c) |
| 1116 | weak | ((b - c) (b + c) ((-2) a^8 + 5 a^6 b^2 - 3 a^4 b^4 - a^2 b^6 + b^8 + 5 a^6 c^2 - 8 a^4 b^2 c^2 + 4 a^2 b^4 c^2 - 4 b^6 c^2 - 3 a^4 c^4 + 4 a |
| 1118 | weak | ((a + b - c) (a - b + c) (a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2) |
| 1119 | weak | ((a + b - c)^2 (a - b + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1120 | weak | ((a^2 - 4 a b + b^2 + a c + b c) (a^2 + a b - 4 a c + b c + c^2)) |
| 1121 | weak | ((a^2 - 2 a b + b^2 + a c + b c - 2 c^2) (a^2 + a b - 2 b^2 - 2 a c + b c + c^2)) |
| 1122 | weak | (a (a + b - c) (a - b + c) (a b + b^2 + a c - 2 b c + c^2)) |
| 1125 | weak | (2 a + b + c) |
| 1126 | weak | (a^2 (a + 2 b + c) (a + b + 2 c)) |
| 1145 | weak | ((2 a - b - c) ( a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1146 | weak | ((b - c)^2 ((-a) + b + c)^2) |
| 1148 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^5 b - 2 a^3 b^3 + a b^5 + a^5 c + a^4 b c - a b^4 c - b^5 c - 2 a^3 c^3 + 2 b^3 c^3 - a b c^4 + a c^5 |
| 1149 | weak | (a^2 (a b + b^2 + a c - 4 b c + c^2)) |
| 1150 | weak | (a^3 - a b^2 - b^2 c - a c^2 - b c^2) |
| 1155 | weak | (a (2 a^2 - a b - b^2 - a c + 2 b c - c^2)) |
| 1156 | weak | (a (a^2 - 2 a b + b^2 + a c + b c - 2 c^2) (a^2 + a b - 2 b^2 - 2 a c + b c + c^2)) |
| 1158 | weak | (a (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 + 2 a^4 b c + 2 a^3 b^2 c - 2 a^2 b^3 c - 2 a b^4 c - 3 a^4 c^2 + 2 a^3 b c^2 - 2 a2 b^2 c^2 + 2 a b^3 |
| 1159 | weak | (a (a^3 - 4 a^2 b - a b^2 + 4 b^3 - 4 a^2 c - 4 b^2 c - a c^2 - 4 b c^2 + 4 c^3)) |
| 1168 | weak | (a ( a + b - 2 c) (a - 2 b + c) (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 1169 | weak | (a^2 (a + b) (a + c) (a^2 + b^2 + a c + b c) (a^2 + a b + b c + c^2)) |
| 1170 | weak | (a (a + b - c) (a - b + c) (a^2 - 2 a b + b^2 - a c - b c) (a^2 - a b - 2 a c - b c + c^2)) |
| 1171 | weak | (a^2 (a + b) (a + c) (a + 2 b + c) (a + b + 2 c)) |
| 1172 | weak | (a (a + b) (a - b - c) ( a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1174 | weak | (a^2 (a^2 - 2 a b + b^2 - a c - b c) (a^2 - a b - 2 a c - b c + c^2)) |
| 1175 | weak | (a^2 (a + b) (a + c) (a^3 - a^2 b - a b^2 + b^3 - 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c - 2 a b c - b^2 c - a c^2 + c^3)) |
| 1178 | weak | (a^2 (a + b) (a + c) (b^2 + a c) (a b + c^2)) |
| 1182 | weak | (a^2 (a^5 b - a^4 b^2 - 2 a^3 b^3 + 2 a^2 b^4 + a b^5 - b^6 + a^5 c - a^4 b c - a b^4 c + b^5 c - a^4 c^2 - 4 a^2 b^2 c^2 + b^4 c^2 - 2 a^3 |
| 1183 | weak | (a (a - b - c) (a^5 + 2 a^4 b + 2 a^3 b^2 + 2 a^2 b^3 + a b^4 + 2 a^4 c + 5 a^3 b c + a^2 b^2 c - a b^3 c + b^4 c + 2 a^3 c^2 + a^2 b c^2 - b |
| 1185 | weak | (a^3 (a b^2 + a b c + b^2 c + a c^2 + b c^2)) |
| 1187 | weak | (a^2 (b + c) (a^4 b + 2 a^3 b^2 + 2 a^2 b^3 + 2 a b^4 + b^5 + a^4 c + 2 a^3 b c + 4 a^2 b^2 c + 4 a b^3 c + b^4 c + 2 a^3 c^2 + 4 a^2 b c^ |
| 1188 | weak | (a^3 (a - b - c) (a^4 b^2 - 3 a^3 b^3 + 3 a^2 b^4 - a b^5 + a^4 b c - a^3 b^2 c - 2 a^2 b^3 c + 3 a b^4 c - b^5 c + a^4 c^2 - a^3 b c^2 - 2 a^ |
| 1189 | weak | (a^2 (a b + a c - b c) (a^4 b^4 + a^3 b^5 - 4 a^4 b^3 c - 3 a^3 b^4 c - 3 a^2 b^5 c + 6 a^4 b^2 c^2 + 2 a^3 b^3 c^2 + 2 a^2 b^4 c^2 + 3 a b |
| 1190 | weak | (a^2 (a - b - c) (a^3 - 3 a^2 b + 3 a b^2 - b^3 - 3 a^2 c - 6 a b c + b^2 c + 3 a c^2 + b c^2 - c^3)) |
| 1191 | weak | (a^2 (a^2 + 2 a b + b^2 + 2 a c - 2 b c + c^2)) |
| 1193 | weak | (a^2 (a b + b^2 + a c + c^2)) |
| 1195 | weak | (a^2 (a - b - c) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c + 2 a^3 b c + 2 a^2 b^2 c - b^4 c + 2 a^2 b c^2 - 2 a^2 c^3 - b c^4 + c^5)) |
| 1197 | weak | (a^3 (a b^2 + b^2 c + a c^2 + b c^2)) |
| 1198 | weak | (a^2 (a b + a c - b c) (a^4 b^4 + a^3 b^5 - 4 a^4 b^3 c - 2 a^3 b^4 c - 3 a^2 b^5 c + 6 a^4 b^2 c^2 + a^3 b^3 c^2 + a^2 b^4 c^2 + 3 a b^5 c |
| 1200 | weak | (a^2 (a - b - c) (a^2 b - 2 a b^2 + b^3 + a^2 c + 4 a b c - b^2 c - 2 a c^2 - b c^2 + c^3)) |
| 1201 | weak | (a^2 (a b + b^2 + a c - 2 b c + c^2)) |
| 1202 | weak | (a^2 (a^3 b - 3 a^2 b^2 + 3 a b^3 - b^4 + a^3 c - 3 a b^2 c + 2 b^3 c - 3 a^2 c^2 - 3 a b c^2 - 2 b^2 c^2 + 3 a c^3 + 2 b c^3 - c^4)) |
| 1203 | weak | (a^2 (a^2 + 2 a b + b^2 + 2 a c + b c + c^2)) |
| 1206 | weak | (a^2 (a^2 b^2 + a^2 b c + 2 a b^2 c + a^2 c^2 + 2 a b c^2 + b^2 c^2)) |
| 1208 | weak | (a^2 (a^7 b + a^6 b^2 - 3 a^5 b^3 - 3 a^4 b^4 + 3 a^3 b^5 + 3 a^2 b^6 - a b^7 - b^8 + a^7 c - a^5 b^2 c - 2 a^4 b^3 c - a^3 b^4 c + 4 a^2 |
| 1210 | weak | (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + 2 a^2 b c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4) |
| 1211 | weak | ((b + c) (a b + b^2 + a c + c^2)) |
| 1212 | weak | (a (a - b - c) (a b - b^2 + a c + 2 b c - c^2)) |
| 1213 | weak | ((b + c) (2 a + b + c)) |
| 1214 | weak | (a (a + b - c) (a - b + c) (b + c) (a^2 - b^2 - c^2)) |
| 1215 | weak | ((b + c) (a^2 + b c)) |
| 1218 | weak | (b c (a^2 b + a b^2 + a^2 c + a b c + b^2 c) (a^2 b + a^2 c + a b c + a c^2 + b c^2)) |
| 1219 | weak | ((a^2 + 2 a b + b^2 - 2 a c + 2 b c + c^2) (a^2 - 2 a b + b^2 + 2 a c + 2 b c + c^2)) |
| 1220 | weak | ((a^2 + b^2 + a c + b c) (a^2 + a b + b c + c^2)) |
| 1221 | weak | (b c (a^2 b + a b^2 + a^2 c + b^2 c) (a^2 b + a^2 c + a c^2 + b c^2)) |
| 1222 | weak | ((a^2 - 2 a b + b^2 + a c + b c) (a^2 + a b - 2 a c + b c + c^2)) |
| 1223 | weak | ((a^4 - 2 a^3 b + 2 a^2 b^2 - 2 a b^3 + b^4 - 3 a^3 c + 3 a^2 b c + 3 a b^2 c - 3 b^3 c + 3 a^2 c^2 + 3 b^2 c^2 - a c^3 - b c^3) (a^4 - 3 a^3 |
| 1224 | weak | ((a^2 + 2 a b + b^2 + a c + 2 b c + c^2) (a^2 + a b + b^2 + 2 a c + 2 b c + c^2)) |
| 1226 | weak | (b^2 c^2 (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + 2 a^2 b c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4)) |
| 1227 | weak | (b c ((-2) a + b + c) ((- a^2) + b^2 - b c + c^2)) |
| 1228 | weak | (b^2 c^2 (b + c) (a b + b^2 + a c + c^2)) |
| 1229 | weak | (b c ((-a) + b + c) ((- a) b + b^2 - a c - 2 b c + c^2)) |
| 1230 | weak | (b^2 c^2 (b + c) (2 a + b + c)) |
| 1231 | weak | (b ((-a) + b - c) c ((-a) - b + c) (b + c) ((-a^2) + b^2 + c^2)) |
| 1233 | weak | (b^2 c^2 ((-a) b + b^2 - a c - 2 b c + c^2)) |
| 1234 | weak | (b^2 c^2 (b + c) ((-a^2) b + b^3 - a^2 c - 2 a b c - b^2 c - b c^2 + c^3)) |
| 1237 | weak | (b^2 c^2 (b + c) (a^2 + b c)) |
| 1240 | weak | (b^2 c^2 (a^2 + b^2 + a c + b c) (a^2 + a b + b c + c^2)) |
| 1243 | weak | (a (a^5 b - a^4 b^2 - 2 a^3 b^3 + 2 a^2 b^4 + a b^5 - b^6 + a^5 c - a^4 b c - 2 a^3 b^2 c + a b^4 c + b^5 c - 2 a^2 b^2 c^2 + 2 b^4 c^2 - 2 |
| 1244 | weak | (a ((-a^3) b^2 + a b^4 + a^4 c + 2 a b^3 c + b^4 c + a^3 c^2 + a^2 c^3 - b^2 c^3 + a c^4) (a^4 b + a^3 b^2 + a^2 b^3 + a b^4 - a^3 c^2 - b |
| 1245 | weak | (a^2 (b + c) (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 1246 | weak | ((a^3 b + 2 a^2 b^2 + a b^3 + a^3 c + a^2 b c + a b^2 c + b^3 c - a b c^2 - a c^3 - b c^3) (a^3 b - a b^3 + a^3 c + a^2 b c - a b^2 c - b^3 c + |
| 1247 | weak | (a (a^3 + b^3 - a b c - 2 a c^2 - 2 b c^2 - c^3) ( a^3 - 2 a b^2 - b^3 - a b c - 2 b^2 c + c^3)) |
| 1248 | weak | (a (a^7 b^2 + a^6 b^3 - 2 a^5 b^4 - 2 a^4 b^5 + a^3 b^6 + a^2 b^7 - a^7 b c + a^6 b^2 c + a^5 b^3 c - 2 a^4 b^4 c + a^3 b^5 c + a^2 b^6 |
| 1252 | weak | (a^2 (a - b)^2 ((- a) + c)^2) |
| 1253 | weak | (a^3 (a - b - c)^2) |
| 1254 | weak | (a (a + b - c)^2 ( a - b + c)^2 (b + c)^2) |
| 1255 | weak | (a (a + 2 b + c) (a + b + 2 c)) |
| 1256 | weak | (a (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3)^2 (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^2 + |
| 1257 | weak | (a (a^3 + a b^2 + 2 b^3 - a^2 c + b^2 c - a c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 + 2 c^3)) |
| 1258 | weak | (a (a^2 b + a b^2 + a^2 c + b^2 c) (a^2 b + a^2 c + a c^2 + b c^2)) |
| 1259 | weak | (a^2 (a - b - c) (a^2 - b^2 - c^2)^2) |
| 1260 | weak | (a^2 (a - b - c)^2 ( a^2 - b^2 - c^2)) |
| 1261 | weak | (a (a - b - c) (a^2 - 2 a b + b^2 + a c + b c) ( a^2 + a b - 2 a c + b c + c^2)) |
| 1262 | weak | (a^2 (a - b)^2 ( a + b - c)^2 ((-a) + c)^2 (a - b + c)^2) |
| 1264 | weak | ((a - b - c) (a^2 - b^2 - c^2)^2) |
| 1265 | weak | ((a - b - c)^2 (a^2 - b^2 - c^2)) |
| 1266 | weak | (a b + b^2 + a c - 4 b c + c^2) |
| 1268 | weak | ((a + 2 b + c) (a + b + 2 c)) |
| 1269 | weak | (b^2 c^2 (2 a + b + c)) |
| 1275 | weak | ((a - b)^2 (a + b - c)^2 ((-a) + c)^2 (a - b + c)^2) |
| 1278 | weak | (-a) b - a c + 3 b c) |
| 1279 | weak | (a (2 a^2 - a b + b^2 - a c - 2 b c + c^2)) |
| 1280 | weak | (a (a^2 - a b + 2 b^2 - 2 a c - b c + c^2) (a^2 - 2 a b + b^2 - a c - b c + 2 c^2)) |
| 1281 | weak | (( a^2 - b c) (a^3 - b^3 + a b c - c^3)) |
| 1282 | weak | (a (a^4 + a^3 b - 2 a^2 b^2 + a b^3 - b^4 + a^3 c - 3 a^2 b c + a b^2 c + b^3 c - 2 a^2 c^2 + a b c^2 + a c^3 + b c^3 - c^4)) |
| 1283 | weak | (a^2 (a^4 - a^3 b + a b^3 - b4 - a^3 c + b^2 c^2 + a c^3 - c^4)) |
| 1284 | weak | (a (a + b - c) (a - b + c) (b + c) (a^2 - b c)) |
| 1285 | weak | (a (3 a^2 + b^2 - c^2) ( 3 a^2 - b^2 + c^2)) |
| 1286 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^6 + a^4 b^2 + a^2 b^4 + b^6 - a^4 c^2 - 2 a^2 b^2 c^2 - b^4 c^2 - a^2 c^4 - b^2 c^4 + c^6) (a^6 - a^4 |
| 1287 | weak | ((a - b) (a + b) ((-a) + c) (a + c) ( a^6 + a^4 b^2 + a^2 b^4 + b^6 - a^4 c^2 - a^2 b^2 c^2 - b^4 c^2 - a^2 c^4 - b^2 c^4 + c^6) (a^6 - a^4 b |
| 1288 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 2 a^6 b^2 + 2 a^4 b^4 - 2 a^2 b^6 + b^8 - 2 a^6 c^2 - 2 b^6 c^2 |
| 1289 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 + b^4 - c^4) (a^4 - b^4 + c^4)) |
| 1290 | weak | (a (a - b) ((-a) + c) ( a^3 + a^2 b + a b^2 + b^3 - a^2 c - a b c - b^2 c - a c^2 - b c^2 + c^3) ( a^3 - a^2 b - a b^2 + b^3 + a^2 c - a b c - b^2 |
| 1291 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 3 a^4 c^2 + a^2 b^2 c^2 - 3 b^4 c^2 + 3 a^2 c^4 + 3 b^2 c^4 - c^6) (a |
| 1292 | weak | (a (a - b) ((-a) + c) (a^2 - 2 a b + b^2 - 2 b c + c^2) (a^2 + b^2 - 2 a c - 2 b c + c^2)) |
| 1293 | weak | (a^2 (a - b) (a + b - 3 c) ((-a) + c) (a - 3 b + c)) |
| 1295 | weak | (a (a^6 - a^4 b^2 - a^2 b^4 + b^6 - a^5 c + 3 a^4 b c - 2 a^3 b^2 c - 2 a^2 b^3 c + 3 a b^4 c - b^5 c - 2 a^4 c^2 + 4 a^2 b^2 c^2 - 2 b^4 c^2 |
| 1296 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - 5 c^2) (a^2 - 5 b^2 + c^2)) |
| 1301 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a |
| 1302 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^4 + 4 a^2 b^2 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) ( a^4 - 2 a^2 b^2 + b^4 + 4 a^2 c^2 - 2 b^2 c^2 + c^ |
| 1303 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) ((-a^4) b^4 + 2 a^2 b^6 - b^8 + a^6 c^2 - 3 a^2 b^4 c^2 + 2 b^6 c^2 - 2 a^4 c^4 - b^4 c^4 + a^2 c^6) ( |
| 1304 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^ |
| 1305 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) ( a^3 + b^3 - a b c - a c^2 - b c^2) (a^3 - a b^2 - a b c - b^2 c + c^3)) 10 |
| 1308 | weak | (a (a - b) ((-a) + c) ( a^2 + a b + b^2 - 2 a c - 2 b c + c^2) (a^2 - 2 a b + b^2 + a c - 2 b c + c^2)) |
| 1309 | weak | ((a - b) ((-a) + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^ |
| 1310 | weak | (a ( a - b) ((-a) + c) (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 1311 | weak | ((a^4 - a^3 b - a b^3 + b^4 + a^2 b c + a b^2 c - a^2 c^2 - b^2 c^2) ( a^4 - a^2 b^2 - a^3 c + a^2 b c + a b c^2 - b^2 c^2 - a c^3 + c^4)) |
| 1317 | weak | ((2 a - b - c)^2 ( a + b - c) (a - b + c)) |
| 1318 | weak | (a^2 ( a + b - 2 c)^2 (a - b - c) (a - 2 b + c)^2) 7 |
| 1319 | weak | (a (2 a - b - c) (a + b - c) (a - b + c)) |
| 1320 | weak | (a (a + b - 2 c) ( a - b - c) (a - 2 b + c)) |
| 1323 | weak | ((a + b - c) (a - b + c) (2 a^2 - a b - b^2 - a c + 2 b c - c^2)) |
| 1325 | weak | (a (a + b) (a + c) (a^4 - b^4 + a^2 b c - a b^2 c - a b c^2 + 2 b^2 c^2 - c^4)) |
| 1326 | weak | (a^2 (a + b) ( a + c) (a^2 + a b - b^2 + a c - b c - c^2)) |
| 1329 | weak | ((a - b - c) (a b^2 + b^3 - b^2 c + a c^2 - b c^2 + c^3)) |
| 1330 | weak | (a^4 + a^3 b - a b^3 - b^4 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 - a c^3 - b c^3 - c^4) |
| 1331 | weak | (a^2 (a - b) ((-a) + c) (a^2 - b^2 - c^2)) |
| 1332 | weak | (a (a - b) ((-a) + c) (a^2 - b^2 - c^2)) |
| 1333 | weak | (a^3 (a + b) (a + c)) 5 |
| 1334 | weak | (a^2 (a - b - c) ( b + c)) |
| 1339 | weak | (a (a + b - 3 c) (2 a - b - c) (a - 3 b + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 4 a b c + 3 b^2 c - a c^2 + 3 b c^2 - c^3)) |
| 1355 | weak | (a^4 (a + b - c) (a - b + c) ( a^2 b^2 - b^4 + a^2 c^2 - c^4)^2) |
| 1356 | weak | (a^4 (b - c)^2 (a + b - c) (a - b + c) (b + c)^2) |
| 1357 | weak | (a^2 (b - c)^2 (a + b - c) (a - b + c)) |
| 1358 | weak | ((b - c)^2 ((-a) + b - c) ((-a) - b + c)) |
| 1359 | weak | ((a + b - c) (a - b + c) (2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4)^2) |
| 1360 | weak | ((a + b - c) (a - b + c) (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)^2) |
| 1361 | weak | (a^2 (a + b - c) (a - b + c) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)^2) |
| 1362 | weak | (a^2 (a + b - c) (a - b + c) (a b - b^2 + a c - c^2)^2) |
| 1363 | weak | (a^4 (b - c)^2 (a + b - c) (a - b + c) (b + c)^2 (a^2 - b^2 - c^2)^4) |
| 1364 | weak | (a^2 (a - b - c) ( b - c)^2 (a^2 - b^2 - c^2)^2) |
| 1365 | weak | ((b - c)^2 ((-a) + b - c) ((-a) - b + c) (b + c)^2) |
| 1366 | weak | ((a + b - c) (a - b + c) (2 a^2 - b^2 - c^2)^2) |
| 1367 | weak | ((b - c)^2 ((- a) + b - c) ((-a) - b + c) (b + c)^2 ((-a^2) + b^2 + c^2)^2) |
| 1376 | weak | (a (a^2 - a b - a c + 2 b c)) |
| 1385 | weak | (a (2 a^3 - a^2 b - 2 a b^2 + b^3 - a^2 c + 2 a b c - b^2 c - 2 a c^2 - b c^2 + c^3)) |
| 1386 | weak | (a (2 a^2 + a b + b^2 + a c + c^2)) |
| 1387 | weak | (2 a^4 - 2 a^3 b - 3 a^2 b^2 + 2 a b^3 + b^4 - 2 a^3 c + 8 a^2 b c - 2 a b^2 c - 3 a^2 c^2 - 2 a b c^2 - 2 b^2 c^2 + 2 a c^3 + c^4) |
| 1388 | weak | (a ( 3 a - 2 b - 2 c) (a + b - c) (a - b + c)) |
| 1389 | weak | (a (a^3 - 2 a^2 b - a b^2 + 2 b^3 - a^2 c + 2 a b c - b^2 c - a c^2 - 2 b c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 - 2 a^2 c + 2 a b c - 2 b^2 c - a |
| 1390 | weak | (a (a^2 + a b + 2 b^2 + b c + c^2) (a^2 + b^2 + a c + b c + 2 c^2)) |
| 1391 | weak | (a^2 (a^4 + 2 a^3 b - 3 a^2 b^2 - 2 a b^3 + 2 b^4 - 2 a^2 b c + 8 a b^2 c - 2 b^3 c - 2 a^2 c^2 - 2 a b c^2 - 3 b^2 c^2 + 2 b c^3 + c^4) (a^4 |
| 1392 | weak | (a (2 a + 2 b - 3 c) ( a - b - c) (2 a - 3 b + 2 c)) |
| 1393 | weak | (a (a + b - c) (a - b + c) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1394 | weak | (a (a + b - c) (a - b + c) (3 a^4 - 2 a^2 b^2 - b^4 - 2 a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1395 | weak | (a^3 (a + b - c) (a - b + c)) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1396 | weak | (a (a + b) ( a + b - c) (a + c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1397 | weak | (a^4 (a + b - c) (a - b + c)) |
| 1398 | weak | (a^2 (a + b - c)^2 (a - b + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1399 | weak | (a^3 (a + b - c) ( a - b + c) (a^2 - b^2 - b c - c^2)) |
| 1400 | weak | (a^2 (a + b - c) (a - b + c) (b + c)) |
| 1401 | weak | (a^2 (a + b - c) (a - b + c) (b^2 + c^2)) |
| 1402 | weak | (a^3 (a + b - c) (a - b + c) ( b + c)) |
| 1403 | weak | (a^2 (a + b - c) (a - b + c) (a b + a c - b c)) |
| 1404 | weak | (a^2 (2 a - b - c) (a + b - c) (a - b + c)) |
| 1405 | weak | (a^2 (a - 2 b - 2 c) (a + b - c) ( a - b + c)) |
| 1406 | weak | (a^2 (a + b - c) (a - b + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)) |
| 1407 | weak | (a^2 (a + b - c)^2 (a - b + c)^2) |
| 1408 | weak | (a^3 (a + b) ( a + b - c) (a + c) (a - b + c)) |
| 1409 | weak | (a^3 (a + b - c) (a - b + c)) (b + c) (a^2 - b^2 - c^2)) |
| 1410 | weak | (a^3 (a + b - c)^2 (a - b + c)^2 (b + c) (a^2 - b^2 - c^2)) |
| 1411 | weak | (a (a + b - c) (a - b + c) (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 1412 | weak | (a^2 (a + b) (a + b - c) (a + c) (a - b + c)) |
| 1413 | weak | (a^2 (a + b - c) (a - b + c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a |
| 1414 | weak | (a (a - b) (a + b) (a + b - c) ((-a) + c) (a + c) (a - b + c)) |
| 1415 | weak | (a^3 (a - b) (a + b - c) ((-a) + c) (a - b + c)) |
| 1416 | weak | (a^2 (a + b - c) (a - b + c) (a^2 + b^2 - a c - b c) ( a^2 - a b - b c + c^2)) |
| 1417 | weak | (a^3 ( a + b - 2 c) (a + b - c) (a - 2 b + c) (a - b + c)) |
| 1418 | weak | (a (a + b - c) (a - b + c) (a b - b^2 + a c + 2 b c - c^2)) |
| 1419 | weak | (a (a + b - c) (a - b + c) (3 a^2 - 2 a b - b^2 - 2 a c + 2 b c - c^2)) |
| 1420 | weak | (a (3 a - b - c) (a + b - c) (a - b + c)) |
| 1421 | weak | (a (a + b - c) (a - b + c) (a^3 - a^2 b + a b^2 - b^3 - a^2 c - a b c + b^2 c + a c^2 + b c^2 - c^3)) |
| 1422 | weak | (a (a + b - c) (a - b + c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c |
| 1423 | weak | (a (a + b - c) (a - b + c) (a b + a c - b c)) |
| 1424 | weak | (a (a + b - c) (a - b + c) (a^2 b^2 + a^2 c^2 - b^2 c^2)) |
| 1425 | weak | (a^2 (a + b - c)^2 (a - b + c)^2 (b + c)^2 (a^2 - b^2 - c^2)) |
| 1426 | weak | (a (a + b - c)^2 (a - b + c)^2 (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1427 | weak | (a (a + b - c)^2 (a - b + c)^2 (b + c)) |
| 1428 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - b c)) |
| 1429 | weak | (a (a + b - c) (a - b + c) (a^2 - b c)) |
| 1430 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 1431 | weak | (a^2 (a + b - c) (a - b + c) (b^2 + a c) (a b + c^2)) |
| 1432 | weak | (a (a + b - c) (a - b + c) (b^2 + a c) (a b + c^2)) |
| 1433 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c |
| 1434 | weak | ((a + b) (a + b - c) (a + c) (a - b + c)) |
| 1435 | weak | (a (a + b - c)^2 (a - b + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1436 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^2 + |
| 1437 | weak | (a^3 (a + b) (a + c) ( a^2 - b^2 - c^2)) |
| 1438 | weak | (a^2 (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 1439 | weak | (a (a + b - c)^2 (a - b + c)^2 (b + c) (a^2 - b^2 - c^2)) |
| 1440 | weak | ((a + b - c) (a - b + c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - |
| 1441 | weak | (b ((- a) + b - c) c ((-a) - b + c) (b + c)) |
| 1442 | weak | (a (a + b - c) (a - b + c) (a^2 - b^2 - b c - c^2)) |
| 1443 | weak | (a (a + b - c) (a - b + c) (a^2 - b^2 + b c - c^2)) |
| 1444 | weak | (a (a + b) (a + c) (a^2 - b^2 - c^2)) |
| 1445 | weak | (a (a + b - c) (a - b + c) (a^2 - 2 a b + b^2 - 2 a c + c^2)) |
| 1446 | weak | (b ((-a) + b - c)^2 c ((-a) - b + c)^2 (b + c)) |
| 1447 | weak | ((a + b - c) (a - b + c) (a^2 - b c)) |
| 1448 | weak | (a (a + b - c) (a - b + c) (a^4 - b^4 + 2 a^2 b c + 2 a b^2 c + 2 a b c^2 + 2 b^2 c^2 - c^4)) |
| 1449 | weak | (a (3 a + b + c)) |
| 1450 | weak | (a^2 (a + b - c) (a - b + c) (a^2 b - b^3 + a^2 c - 4 a b c - b^2 c - b c^2 - c^3)) |
| 1451 | weak | (a^2 (a + b - c) (a - b + c) (a^3 - a b^2 - 2 a b c - 2 b^2 c - a c^2 - 2 b c^2)) |
| 1452 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c - b^2 c - a c^2 - b c^2 - c^3)) |
| 1453 | weak | (a (3 a^3 + 3 a^2 b + a b^2 + b^3 + 3 a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 + c^3)) |
| 1454 | weak | (a (a + b - c) (a - b + c) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 b c - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1455 | weak | (a (a + b - c) (a - b + c) (2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4)) |
| 1456 | weak | (a (a + b - c) (a - b + c) (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)) |
| 1457 | weak | (a^2 (a + b - c) (a - b + c) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1458 | weak | (a^2 (a + b - c) (a - b + c) (a b - b^2 + a c - c^2)) |
| 1459 | weak | (a^2 (b - c) (a^2 - b^2 - c^2)) |
| 1460 | weak | (a^2 (a + b - c) (a - b + c) (a^2 + b^2 + 2 b c + c^2)) |
| 1461 | weak | (a^2 (a - b) (a + b - c)^2 ((-a) + c) (a - b + c)^2) |
| 1462 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 1463 | weak | (a (a + b - c) (a - b + c) (a b^2 - b^2 c + a c^2 - b c^2)) |
| 1464 | weak | (a^2 (a + b - c) (a - b + c) (b + c) (a^2 - b^2 + b c - c^2)) |
| 1465 | weak | (a (a + b - c) (a - b + c) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1466 | weak | (a^2 (a + b - c) (a - b + c) (a^3 - a^2 b - a b^2 + b^3 - a^2 c + 2 a b c + 3 b^2 c - a c^2 + 3 b c^2 + c^3)) |
| 1467 | weak | (a (a + b - c) (a - b + c) (a^4 - 2 a^3 b + 2 a b^3 - b^4 - 2 a^3 c - 4 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4)) |
| 1468 | weak | (a^2 (a^2 + a b + a c + 2 b c)) |
| 1469 | weak | (a^2 (a + b - c) ( a - b + c) (b^2 + b c + c^2)) |
| 1470 | weak | (a^2 (a + b - c) (a - b + c) (a^3 - a^2 b - a b^2 + b^3 - a^2 c + 2 a b c + b^2 c - a c^2 + b c^2 + c^3)) |
| 1471 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - a b - a c - 2 b c)) |
| 1472 | weak | (a^3 ( a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 1473 | weak | (a^2 (a^2 - b^2 - c^2) (a^2 + b^2 - 2 b c + c^2)) |
| 1474 | weak | (a^2 (a + b) ( a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1475 | weak | (a^2 (a b - b^2 + a c + 2 b c - c^2)) |
| 1476 | weak | (a (a + b - c) (a - b + c) (a^2 - 2 a b + b^2 + a c + b c) (a^2 + a b - 2 a c + b c + c^2)) |
| 1477 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - a b + 2 b^2 - 2 a c - b c + c^2) (a^2 - 2 a b + b^2 - a c - b c + 2 c^2)) |
| 1478 | weak | (a^4 - b^4 + 2 a^2 b c + 2 b^2 c^2 - c^4) |
| 1479 | weak | (a^4 - b^4 - 2 a^2 b c + 2 b^2 c^2 - c^4) |
| 1480 | weak | (a^2 ( a^2 - b^2 + 4 b c - c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 4 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 1481 | weak | (a^2 (a^2 - b^2 + 4 b c - c^2) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 4 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + |
| 1482 | weak | (a (a^3 - 2 a^2 b - a b^2 + 2 b^3 - 2 a^2 c + 4 a b c - 2 b^2 c - a c^2 - 2 b c^2 + 2 c^3)) |
| 1483 | weak | (4 a^4 - 4 a^3 b - 3 a^2 b^2 + 4 a b^3 - b^4 - 4 a^3 c + 8 a^2 b c - 4 a b^2 c - 3 a^2 c^2 - 4 a b c^2 + 2 b^2 c^2 + 4 a c^3 - c^4) |
| 1484 | weak | (-a^5) b^2 + a^4 b^3 + 2 a^3 b^4 - 2 a^2 b^5 - a b^6 + b^7 + 4 a^5 b c - 3 a^4 b^2 c - 5 a^3 b^3 c + 4 a^2 b^4 c + a b^5 c - b^6 c - a^5 c^ |
| 1486 | weak | (a^2 ( a^3 - a^2 b + a b^2 - b^3 - a^2 c + b^2 c + a c^2 + b c^2 - c^3)) |
| 1490 | weak | (a (a^6 - 2 a^5 b - a^4 b^2 + 4 a^3 b^3 - a^2 b^4 - 2 a b^5 + b^6 - 2 a^5 c - 2 a^4 b c + 2 a b^4 c + 2 b^5 c - a^4 c^2 + 2 a^2 b^2 c^2 - b^ |
| 1491 | weak | (a (b - c) (b^2 + b c + c^2)) |
| 1492 | weak | (a ( a - b) (a^2 + a b + b^2) ((-a) + c) (a^2 + a c + c^2)) |
| 1496 | weak | (a^3 (a^4 - 2 a^2 b^2 + b4 - 2 a^2 c^2 + 6 b^2 c^2 + c^4)) |
| 1497 | weak | (a^3 ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - 6 b^2 c^2 + c^4)) |
| 1499 | weak | ((b - c) (b + c) ((-5) a^2 + b^2 + c^2)) |
| 1500 | weak | (a^2 (b + c)^2) |
| 1509 | weak | ((a + b)^2 (a + c)^2) |
| 1510 | weak | (a^2 (b - c) (b + c) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 1512 | weak | ((a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (a^4 - 2 a^3 b + 2 a b^3 - b^4 - 2 a^3 c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c |
| 1517 | weak | ((a^4 b^2 - 2 a^3 b^3 + 2 a b^5 - b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - 2 a b^3 c^2 - b^4 c^2 - 2 a^3 c^3 - 2 a b^2 c^3 + 4 b^3 c^3 - b^2 c^4 + |
| 1518 | weak | ((a^3 b^2 + a^2 b^3 - a b^4 - b^5 - a^2 b^2 c + b^4 c + a^3 c^2 - a^2 b c^2 + 4 a b^2 c^2 - 2 b^3 c^2 + a^2 c^3 - 2 b^2 c^3 - a c^4 + b c^4 |
| 1519 | weak | ((a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (a^4 - 2 a^2 b^2 + b^4 + 4 a^2 b c - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1520 | weak | ((a^3 b^2 + a^2 b^3 - a b^4 - b^5 + a^3 c^2 + 2 a b^2 c^2 - b^3 c^2 + a^2 c^3 - b^2 c^3 - a c^4 - c^5) (4 a^5 + a^4 b + 2 a^2 b^3 + b^5 + |
| 1521 | weak | ((2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) (2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + |
| 1528 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3) (a^5 b - a^4 b^2 - 2 a^3 b^3 |
| 1530 | weak | ((2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) (a^5 - 2 a^2 b^3 - a b^4 + 2 b^5 + 2 a b^2 c^2 - 2 b^3 c^2 - 2 a^2 c^3 - 2 b^2 c^3 - a c^ |
| 1532 | weak | (( a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + 2 a^2 b c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^ |
| 1534 | weak | ((a^5 b - a^4 b^2 - 2 a^3 b^3 + 2 a^2 b^4 + a b^5 - b^6 + a^5 c + 4 a^4 b c + 4 a^3 b^2 c - 2 a^2 b^3 c - 5 a b^4 c - 2 b^5 c - a^4 c^2 + 4 a |
| 1535 | weak | ((2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4) (a^6 - a^5 b + 2 a^3 b^3 |
| 1536 | weak | ((2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) ( a^4 b - 2 a^3 b^2 + 2 a b^4 - b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - 2 a^3 c^2 - 2 a^2 b c |
| 1537 | weak | (( a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (2 a^4 - a^3 b - 3 a^2 b^2 + a b^3 + b^4 - a^3 c + 6 a^2 b c - a b^2 c - 3 a^2 c^2 - a b |
| 1538 | weak | ((a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (a^3 - 3 a b^2 + 2 b^3 + 6 a b c - 2 b^2 c - 3 a c^2 - 2 b c^2 + 2 c^3)) |
| 1541 | weak | ((2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) (a^5 - a^4 b + 2 a^3 b^2 - 2 a^2 b^3 - 3 a b^4 + 3 b^5 - a^4 c + 2 a^2 b^2 c - b^4 c + 2 |
| 1542 | weak | ((2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4) (a^6 + a^4 b^2 - 5 a^2 b |
| 1543 | weak | ((a^4 b - 2 a^3 b^2 + 2 a b^4 - b^5 + a^4 c + 2 a^3 b c - 2 a b^3 c - b^4 c - 2 a^3 c^2 + 2 b^3 c^2 - 2 a b c^3 + 2 b^2 c^3 + 2 a c^4 - b c^4 - |
| 1544 | weak | (( 2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) ( a^6 + a^5 b - 2 a^3 b^3 - 3 a^2 b^4 + a b^5 + 2 b^6 + a^5 c + a^4 b c - 2 a^3 b^2 c |
| 1547 | weak | ((2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3) (a^5 b + a^4 b^2 - 2 a^3 b^3 - 2 a^2 b^4 + a b^5 + b^6 + a^5 c - 2 a^4 b c + 2 a^3 b^2 |
| 1548 | weak | ((a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3) (3 a^6 b - 5 a^4 b^3 + a^2 b^5 + b^7 + 3 a^6 c + 4 a^5 b c + 3 a^4 b^2 c + a^2 b^4 c |
| 1549 | weak | ((2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4) (a^8 b - 2 a^7 b^2 - 2 a^ |
| 1558 | weak | ((2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4) (a^6 - a^5 b + 2 a^3 b^3 - 3 a^2 b^4 - a b^5 + 2 b^6 - a^5 c + a^4 b c + a b^4 c - b^5 |
| 1562 | weak | ((b - c)^2 (b + c)^2 ((-a^2) + b^2 + c^2) ((-3) a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1565 | weak | ((b - c)^2 ((-a^2) + b^2 + c^2)) |
| 1566 | weak | ((a - b - c) (b - c)^2 ( a b - b^2 + a c - c^2) (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)) |
| 1571 | weak | (a (a^3 + a^2 b - 3 a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - 3 a c^2 + b c^2 - c^3)) |
| 1572 | weak | (a (a^3 + a^2 b + a b^2 - b^3 + a^2 c - 2 a b c + b^2 c + a c^2 + b c^2 - c^3)) |
| 1573 | weak | (a (a b^2 + 2 b^2 c + a c^2 + 2 b c^2)) |
| 1574 | weak | (a (a b^2 - 2 b^2 c + a c^2 - 2 b c^2)) |
| 1575 | weak | (a (a b^2 - b^2 c + a c^2 - b c^2)) |
| 1576 | weak | (a^4 (a - b) (a + b) ((- a) + c) (a + c)) |
| 1577 | weak | (b (b - c) c (b + c)) |
| 1580 | weak | (a (a^2 - b c) (a^2 + b c)) |
| 1581 | weak | (a ((-b^2) + a c) (b^2 + a c) (a b - c^2) (a b + c^2)) |
| 1582 | weak | (a (a^4 + b^2 c^2)) |
| 1602 | weak | (a^2 (a^6 - 2 a^5 b + a^4 b^2 - a^2 b^4 + 2 a b^5 - b^6 - 2 a^5 c + 2 a^4 b c - 2 a b^4 c + 2 b^5 c + a^4 c^2 - b^4 c^2 - a^2 c^4 - 2 a b c^4 |
| 1603 | weak | (a^2 (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 + 4 a^6 b c - 4 a^4 b^3 c + 4 a^3 b^4 c - 4 a b^6 c - 2 a^6 c^2 + 6 a^4 b^2 c^2 - 6 a^2 b^4 c^2 + 2 |
| 1604 | weak | (a^2 (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 + 4 a^4 b c + 4 a^3 b^2 c - 4 a^2 b^3 c - 4 a b^4 c - 3 a^4 c^2 + 4 a^3 b c^2 - 6 a^2 b^2 c^2 + 4 a |
| 1610 | weak | (a ( a^6 + a^5 b - a^2 b^4 - a b^5 + a^5 c + 3 a^4 b c - 2 a^3 b^2 c - 2 a^2 b^3 c + a b^4 c - b^5 c - 2 a^3 b c^2 + 2 a^2 b^2 c^2 - 2 a^2 b c |
| 1612 | weak | (a (a^6 - a^5 b - 2 a^4 b^2 + 2 a^3 b^3 + a^2 b^4 - a b^5 - a^5 c - 5 a^4 b c - 2 a^3 b^2 c + 2 a^2 b^3 c - a b^4 c - b^5 c - 2 a^4 c^2 - 2 a^ |
| 1615 | weak | (a^2 (a^4 - 4 a^3 b + 6 a^2 b^2 - 4 a b^3 + b^4 - 4 a^3 c - 4 a^2 b c + 4 a b^2 c + 4 b^3 c + 6 a^2 c^2 + 4 a b c^2 - 10 b^2 c^2 - 4 a c^3 + 4 |
| 1616 | weak | (a^2 (a^2 + 2 a b + b^2 + 2 a c - 6 b c + c^2)) |
| 1617 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - 2 a b + b^2 - 2 a c + c^2)) |
| 1618 | weak | (a^2 ( a - b) ((-a) + c) (a^4 - a^3 b - a^2 b^2 + a b^3 - a^3 c + 3 a^2 b c - a b^2 c + b^3 c - a^2 c^2 - a b c^2 - 2 b^2 c^2 + a c^3 + b c^3)) |
| 1621 | weak | (a (a^2 - a b - a c - b c)) |
| 1622 | weak | (a^2 (a^8 + 2 a^7 b - 2 a^6 b^2 - 6 a^5 b^3 + 6 a^3 b^5 + 2 a^2 b^6 - 2 a b^7 - b^8 + 2 a^7 c - 2 a^6 b c - 2 a^5 b^2 c + 2 a^4 b^3 c - 2 a |
| 1623 | weak | (a^2 (2 a^4 - 2 a^3 b + 2 a b^3 - 2 b^4 - 2 a^3 c + a^2 b c - a b^2 c + 2 b^3 c - a b c^2 - b^2 c^2 + 2 a c^3 + 2 b c^3 - 2 c^4)) |
| 1624 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) ( a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 4 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1625 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1626 | weak | (a^2 (a^4 - a^3 b + a b^3 - b^4 - a^3 c + b^3 c + a c^3 + b c^3 - c^4)) |
| 1630 | weak | (a^2 (a^6 - a^5 b - 2 a^4 b^2 + 2 a^3 b^3 + a^2 b^4 - a b^5 - a^5 c - a^4 b c + a b^4 c + b^5 c - 2 a^4 c^2 + 2 a^2 b^2 c^2 + 2 a^3 c^3 - 2 |
| 1631 | weak | (a^2 (a^3 - b^3 - c^3)) |
| 1632 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^4 + b^4 - 2 b^2 c^2 + c^4)) |
| 1633 | weak | (a (a - b) ((-a) + c) (a^2 + b^2 - 2 b c + c^2)) |
| 1634 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (b^2 + c^2)) |
| 1635 | weak | (a ( 2 a - b - c) (b - c)) |
| 1636 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2)^2 (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1637 | weak | ((b - c) (b + c) ((-2) a^4 + a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1638 | weak | ((b - c) ((-2) a^2 + a b + b^2 + a c - 2 b c + c^2)) |
| 1639 | weak | ((a - b - c) (2 a - b - c) (b - c)) |
| 1640 | weak | ((b - c) (b + c) ((-2) a^6 + 2 a^4 b^2 - a^2 b^4 + b^6 + 2 a^4 c^2 - b^4 c^2 - a^2 c^4 - b^2 c^4 + c^6)) |
| 1642 | weak | (a (a b - b^2 + a c - c^2) (2 a^3 - 2 a^2 b + a b^2 - b^3 - 2 a^2 c + b^2 c + a c^2 + b c^2 - c^3)) |
| 1643 | weak | (a (b - c) (2 a^3 - 2 a^2 b + a b^2 - b^3 - 2 a^2 c + b^2 c + a c^2 + b c^2 - c^3)) |
| 1644 | weak | ((2 a - b - c) ( 2 a^2 - 2 a b - b^2 - 2 a c + 4 b c - c^2)) |
| 1645 | weak | (a^4 (b - c)^2 (b + c)^2 ( a^2 b^2 + a^2 c^2 - 2 b^2 c^2)) |
| 1646 | weak | (a^2 (b - c)^2 (a b + a c - 2 b c)) |
| 1647 | weak | ((2 a - b - c) (b - c)^2) |
| 1648 | weak | ((b - c)^2 (b + c)^2 ((-2) a^2 + b^2 + c^2)) |
| 1649 | weak | ((b - c) ( b + c) ((-2) a^2 + b^2 + c^2)^2) |
| 1650 | weak | ((b - c)^2 (b + c)^2 ((-a^2) + b^2 + c^2)^2 ((-2) a^4 + a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1654 | weak | (a^2 - a b - b^2 - a c - b c - c^2) |
| 1655 | weak | (-a^2) b^2 - a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + b^2 c^2) |
| 1682 | weak | (a^2 (a - b - c) (a b + b^2 + a c + c^2)^2) |
| 1695 | weak | (a (a^5 b + 4 a^4 b^2 + 2 a^3 b^3 - 4 a^2 b^4 - 3 a b^5 + a^5 c + 7 a^4 b c + 2 a^3 b^2 c - 6 a^2 b^3 c - 3 a b^4 c - b^5 c + 4 a^4 c^2 + 2 |
| 1696 | weak | (a^2 (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + 5 b^2 c - a c^2 + 5 b c^2 - c^3)) |
| 1697 | weak | (a (a - b - c) (a^2 + 2 a b + b^2 + 2 a c - 2 b c + c^2)) |
| 1698 | weak | (a + 2 b + 2 c) |
| 1699 | weak | (a^3 + a b^2 - 2 b^3 - 2 a b c + 2 b^2 c + a c^2 + 2 b c^2 - 2 c^3) |
| 1706 | weak | (a (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2a b c + 5 b^2 c - a c^2 + 5 b c^2 - c^3)) |
| 1707 | weak | (a (3 a^2 - b^2 - c^2)) |
| 1708 | weak | (a (a + b - c) (a - b + c) (a^3 - a^2 b - a b^2 + b^3 - a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 + c^3)) |
| 1709 | weak | (a (a^5 - a^4 b - 2 a^3 b^2 + 2 a^2 b^3 + a b^4 - b^5 - a^4 c + 6 a^3 b c - 2 a^2 b^2 c - 2 a b^3 c - b^4 c - 2 a^3 c^2 - 2 a^2 b c^2 + 2 a b^ |
| 1710 | weak | (a (a^6 + a^5 b - a^4 b^2 + a^2 b^4 - a b^5 - b^6 + a^5 c + a^4 b c - a b^4 c - b^5 c - a^4 c^2 + 2 a b^3 c^2 + b^4 c^2 + 2 a b^2 c^3 + 2b^ |
| 1711 | weak | (a (a^5 - a^4 b - 2 a^3 b^2 + 2 a^2 b^3 + a b^4 - b^5 - a^4 c - 2 a^2 b^2 c - b^4 c - 2 a^3 c^2 - 2 a^2 b c^2 + 2 a b^2 c^2 + 2 b^3 c^2 + 2 |
| 1712 | weak | (a ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - 4 a^6 b^2 + 6 a^4 b^4 - 4 a^2 b^6 + b^8 - 4 a^6 c^2 - 4 a^4 b^2 c^2 + 4 a^2 b^4 c^2 + 4 b^ |
| 1713 | weak | (a (a^6 b - a^5 b^2 - 2 a^4 b^3 + 2 a^3 b^4 + a^2 b^5 - a b^6 + a^6 c - 3 a^4 b^2 c + 3 a^2 b^4 c - b^6 c - a^5 c^2 - 3 a^4 b c^2 - 4 a^3 b |
| 1714 | weak | (a^4 + 2 a^3 b + b^4 + 2 a^3 c - 2 a b^2 c - 2 a b c^2 - 2 b^2 c^2 + c^4) |
| 1715 | weak | (a (a^8 b + a^7 b^2 - 3 a^6 b^3 - 3 a^5 b^4 + 3 a^4 b^5 + 3 a^3 b^6 - a^2 b^7 - a b^8 + a^8 c - 2 a^6 b^2 c + 2 a^2 b^6 c - b^8 c + a^7 c^ |
| 1716 | weak | (a (a^3 b + a b^3 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 + a c^3 - b c^3)) |
| 1717 | weak | (a (a^6 - a^4 b^2 - a^2 b^4 + b^6 - 3 a^4 b c - a^3 b^2 c + a^2 b^3 c + a b^4 c + 2 b^5 c - a^4 c^2 - a^3 b c^2 + 2 a^2 b^2 c^2 - a b^3 c^2 |
| 1718 | weak | (a (a^6 - a^4 b^2 - a^2 b^4 + b^6 + a^4 b c - a^3 b^2 c + a^2 b^3 c + a b^4 c - 2 b^5 c - a^4 c^2 - a^3 b c^2 + 2 a^2 b^2 c^2 - a b^3 c^2 - |
| 1719 | weak | (a (a^5 + a^4 b - a b^4 - b^5 + a^4 c + 3 a^3 b c - a b^3 c - b^4 c + 2 a b^2 c^2 + 2 b^3 c^2 - a b c^3 + 2 b^2 c^3 - a c^4 - b c^4 - c^5)) |
| 1720 | weak | (a ( a^9 - a^8 b - 4 a^7 b^2 + 4 a^6 b^3 + 6 a^5 b^4 - 6 a^4 b^5 - 4 a^3 b^6 + 4 a^2 b^7 + a b^8 - b^9 - a^8 c + 2 a^7 b c - 10 a^5 b^3 c |
| 1721 | weak | (a (a^4 - 2 a^3 b + 2 a^2 b^2 - 2 a b^3 + b^4 - 2 a^3 c - 2 a^2 b c + 2 a b^2 c + 2 b^3 c + 2 a^2 c^2 + 2 a b c^2 - 6 b^2 c^2 - 2 a c^3 + 2 b c |
| 1722 | weak | (a (a^3 + a^2 b + a b^2 + b^3 + a^2 c - 3 b^2 c + a c^2 - 3 b c^2 + c^3)) |
| 1723 | weak | (a (a^4 - 2 a^3 b + 2 a b^3 - b^4 - 2 a^3 c - 2 a^2 b c + 2 b^2 c^2 + 2 a c^3 - c^4)) |
| 1724 | weak | (a (a^3 + a^2 b + a^2 c - b^2 c - b c^2)) |
| 1725 | weak | (a (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 1726 | weak | (a (a^5 - a^3 b^2 + a^2 b^3 - b^5 - a^3 c^2 + b^3 c^2 + a^2 c^3 + b^2 c^3 - c^5)) |
| 1727 | weak | (a ( a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 + a^4 b c + a^3 b^2 c - a^2 b^3 c - a b^4 c - 3 a^4 c^2 + a^3 b c^2 - 2 a^2 b^2 c^2 + a b^3 c^2 + b^ |
| 1728 | weak | (a (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 2 a^3 b^2 c + 2 a^2 b^3 c + 2 a b^4 c - 2 b^5 c - 3 a^4 c^2 - 2 a^3 b c^2 - 2 a^2 b^2 c^2 - 2 a b^3 c |
| 1729 | weak | (a (a^6 - a^5 b - a^4 b^2 + a^2 b^4 + a b^5 - b^6 - a^5 c + a^3 b^2 c - a^2 b^3 c + b^5 c - a^4 c^2 + a^3 b c^2 - a b^3 c^2 + b^4 c^2 - a^ |
| 1730 | weak | (a (a^4 b + a^3 b^2 - a^2 b^3 - a b^4 + a^4 c - b^4 c + a^3 c^2 + 2 a b^2 c^2 + b^3 c^2 - a^2 c^3 + b^2 c^3 - a c^4 - b c^4)) |
| 1731 | weak | (a (a - b - c) (a^3 + b^3 - a b c - b^2 c - b c^2 + c^3)) |
| 1732 | weak | (a ( a^4 - 4 a^3 b + 4 a b^3 - b^4 - 4 a^3 c - 4 a^2 b c + 2 b^2 c^2 + 4 a c^3 - c^4)) |
| 1733 | weak | (b c (2 a^4 - a^2 b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1734 | weak | (a (b - c) (a b - b^2 + a c - b c - c^2)) |
| 1735 | weak | (a (a^4 b^2 - 2 a^2 b^4 + b^6 - a^3 b^2 c + a^2 b^3 c + a b^4 c - b^5 c + a^4 c^2 - a^3 b c^2 + 2 a^2 b^2 c^2 - a b^3 c^2 - b^4 c^2 + a^2 |
| 1736 | weak | (a (a^3 b^2 - a^2 b^3 - a b^4 + b^5 + a^3 c^2 + 2 a b^2 c^2 - b^3 c^2 - a^2 c^3 - b^2 c^3 - a c^4 + c^5)) |
| 1737 | weak | (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4) |
| 1738 | weak | (a^2 b + b^3 + a^2 c - 2 a b c - b2 c - b c^2 + c^3) |
| 1739 | weak | (a (a b^2 + b^3 - 2 b^2 c + a c^2 - 2 b c^2 + c^3)) |
| 1740 | weak | (a (a^2 b^2 + a^2 c^2 - b^2 c^2)) |
| 1741 | weak | (a (a - b - c) (a^6 + 2 a^5 b - a^4 b^2 - 4 a^3 b^3 - a^2 b^4 + 2 a b^5 + b^6 + 2 a^5 c + 2 a^4 b c + 2 a^3 b^2 c - 2 a^2 b^3 c - 4 a b^4 c - |
| 1742 | weak | (a (a^3 b - 2 a^2 b^2 + a b^3 + a^3 c + a^2 b c - a b^2 c - b^3 c - 2 a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - b c^3)) |
| 1743 | weak | (a (3 a - b - c)) |
| 1744 | weak | (a ( a^7 - 2 a^5 b^2 - a^4 b^3 + a^3 b^4 + 2 a^2 b^5 - b^7 - a^5 b c - 2 a^4 b^2 c + 2 a^2 b^4 c + a b^5 c - 2 a^5 c^2 - 2 a^4 b c^2 - 2 a^2 |
| 1745 | weak | (a (a^5 b - 2 a^3 b^3 + a b^5 + a^5 c + a^4 b c - a b^4 c - b^5 c - 2 a^3 c^3 + 2 b^3 c^3 - a b c^4 + a c^5 - b c^5)) |
| 1746 | weak | (a^6 - a^4 b^2 + a^3 b^3 - a b^5 + a^4 b c - b^5 c - a^4 c^2 + a b^3 c^2 + a^3 c^3 + a b^2 c^3 + 2 b^3 c^3 - a c^5 - b c^5) |
| 1747 | weak | (a (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 2 a^6 c^2 - 4 a^4 b^2 c^2 + 2 b^6 c^2 - 2 b^4 c^4 + 2 a^2 c^6 + 2 b^2 c^6 - c^8)) |
| 1748 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) 9 |
| 1749 | weak | (a (a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 - 3 a^4 c^2 - a^2 b^2 c^2 + b^4 c^2 + 3 a^2 c^4 + b^2 c^4 - c^6)) |
| 1750 | weak | (a (a^5 - 3 a^4 b + 2 a^3 b^2 + 2 a^2 b^3 - 3 a b^4 + b^5 - 3 a^4 c - 2 a^2 b^2 c + 5 b^4 c + 2 a^3 c^2 - 2 a^2 b c^2 + 6 a b^2 c^2 - 6 b^3 |
| 1751 | weak | ((a^3 + b^3 - a b c - a c^2 - b c^2) (a^3 - a b^2 - a b c - b^2 c + c^3)) |
| 1752 | weak | (a (a^6 - 2 a^5 b + a^4 b^2 - a^2 b^4 + 2 a b^5 - b^6 - 2 a^5 c + 2 a^3 b^2 c - 2 a^2 b^3 c + 2 b^5 c + a^4 c^2 + 2 a^3 b c^2 + 2 a^2 b^2 c |
| 1753 | weak | (a ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^5 + a^4 b - 2 a^3 b^2 - 2 a^2 b^3 + a b^4 + b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - 2 a^3 c^2 - 2 a^ |
| 1754 | weak | (a (a^5 - a^4 b - a^3 b^2 + a^2 b^3 - a^4 c + b^4 c - a^3 c^2 - b^3 c^2 + a^2 c^3 - b^2 c^3 + b c^4)) |
| 1755 | weak | (a^3 (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 1756 | weak | (a (a^4 b + a^3 b^2 - a^2 b^3 - a b^4 + a^4 c + b^4 c + a^3 c^2 - b^3 c^2 - a^2 c^3 - b^2 c^3 - a c^4 + b c^4)) |
| 1757 | weak | (a (a^2 + a b - b^2 + a c - b c - c^2)) |
| 1758 | weak | (a (a + b - c) (a - b + c) (a^3 - 2 a^2 b + b^3 - 2 a^2 c + a b c + c^3)) |
| 1759 | weak | (a (a^3 - b^3 - c^3)) |
| 1760 | weak | (a (a^4 - b^4 - c^4)) |
| 1761 | weak | (a (a^4 + a^3 b - a b^3 - b^4 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 - a c^3 - b c^3 - c^4)) |
| 1762 | weak | (a (a^5 - a^3 b^2 + a^2 b^3 - b^5 - a^3 b c + a b^3 c - a^3 c^2 + 2 a b^2 c^2 + b^3 c^2 + a^2 c^3 + a b c^3 + b^2 c^3 - c^5)) |
| 1763 | weak | (a (a^5 + a^4 b - a b^4 - b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - 2 a^2 b c^2 + 2 a b^2 c^2 - a c^4 + b c^4 - c^5)) |
| 1764 | weak | (a (a^4 b + a^3 b^2 - a^2 b^3 - a b^4 + a^4 c - b^4 c + a^3 c^2 - 2 a b^2 c^2 + b^3 c^2 - a^2 c^3 + b^2 c^3 - a c^4 - b c^4)) |
| 1765 | weak | (a ( a^6 b - a^5 b^2 - 2 a^4 b^3 + 2 a^3 b^4 + a^2 b^5 - a b^6 + a^6 c + a^4 b^2 c - a^2 b^4 c - b^6 c - a^5 c^2 + a^4 b c^2 + a b^4 c^2 - |
| 1766 | weak | (a (a^4 - b^4 + 2 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 - c^4)) |
| 1767 | weak | (a (a + b - c) (a - b + c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^5 - a^4 b - 2 a^3 b^2 + 2 a^2 b^3 + a b^4 - b^5 - a^4 c + 4 a^3 b c + 2 a^2 |
| 1768 | weak | (a (a^5 - a^4 b - 2 a^3 b^2 + 2 a^2 b^3 + a b^4 - b^5 - a^4 c + 5 a^3 b c - 2 a^2 b^2 c - 3 a b^3 c + b^4 c - 2 a^3 c^2 - 2 a^2 b c^2 + 4 a b |
| 1769 | weak | (a (b - c) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1770 | weak | (2 a^4 + a^3 b - a^2 b^2 - a b^3 - b^4 + a^3 c + a b^2 c - a^2 c^2 + a b c^2 + 2 b^2 c^2 - a c^3 - c^4) |
| 1771 | weak | (a (a^6 - 2 a^4 b^2 + a^2 b^4 + a^3 b^2 c - a^2 b^3 c - a b^4 c + b^5 c - 2 a^4 c^2 + a^3 b c^2 + a b^3 c^2 - a^2 b c^3 + a b^2 c^3 - 2 b^3 |
| 1772 | weak | (a (a^4 b^2 - 2 a^2 b^4 + b^6 - 2 a^3 b^2 c + 2 a^2 b^3 c + 2 a b^4 c - 2 b^5 c + a^4 c^2 - 2 a^3 b c^2 + 2 a^2 b^2 c^2 - 2 a b^3 c^2 - b^4 |
| 1773 | weak | (a (a^6 + 2 a^5 b + a^4 b2 - a^2 b^4 - 2 a b^5 - b^6 + 2 a^5 c + 2 a^4 b c + 2 a^3 b^2 c + 2 a^2 b^3 c + a^4 c^2 + 2 a^3 b c^2 + 2 a^2 b^2 |
| 1774 | weak | (a (a^9 + a^8 b - 2 a^7 b^2 - 2 a^6 b^3 + 2 a^3 b^6 + 2 a^2 b^7 - a b^8 - b^9 + a^8 c + 2 a^7 b c - 6 a^5 b^3 c - 2 a^4 b^4 c + 6 a^3 b^5 c |
| 1775 | weak | (a (a^9 + a^8 b - 2 a^7 b^2 - 2 a^6 b^3 + 2 a^3 b^6 + 2 a^2 b^7 - a b^8 - b^9 + a^8 c - 2 a^7 b c + 6 a^5 b^3 c - 2 a^4 b^4 c - 6 a^3 b^5 c |
| 1776 | weak | (a (a - b - c) (a^4 - 2 a^2 b^2 + b^4 + 3 a^2 b c - b^3 c - 2 a^2 c^2 - b c^3 + c^4)) |
| 1777 | weak | (a (a^6 - 2 a^4 b^2 + a^2 b^4 + 2 a^4 b c + a^3 b^2 c - a^2 b^3 c - a b^4 c - b^5 c - 2 a^4 c^2 + a^3 b c^2 + a b^3 c^2 - a^2 b c^3 + a b^2 |
| 1778 | weak | (a (a + b) (a + c) (a^2 + 2 a b - b^2 + 2 a c - 2 b c - c^2)) |
| 1780 | weak | (a^2 (a + b) (a + c) ( a^3 - a^2 b - a b^2 + b^3 - a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 + c^3)) |
| 1781 | weak | (a (a^4 - b^4 + a^2 b c + a b^2 c + a b c^2 + 2 b^2 c^2 - c^4)) |
| 1782 | weak | (a (a^6 + a^5 b - a^4 b^2 + a^2 b^4 - a b^5 - b^6 + a^5 c - a^4 b c - a^3 b^2 c + a^2 b^3 c - a^4 c^2 - a^3 b c^2 + a b^3 c^2 + b^4 c^2 + a |
| 1783 | weak | (a (a - b) ((-a) + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1784 | weak | (b c ((-a^2) + b^2 - c^2)((-a^2) - b^2 + c^2) ((-2) a^4 + a^2 b^2 + b^4 + a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1785 | weak | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1786 | weak | (a ( a + b - c) (a - b + c) (a^6 + a^5 b - a^4 b^2 - 2 a^3 b^3 - a^2 b^4 + a b^5 + b^6 + a^5 c - a^4 b c - 2 a^3 b^2 c + a b^4 c + b^5 c - a^4 |
| 1787 | weak | (a (a + b - c) (a - b + c) (a^6 - a^5 b - a^4 b^2 + 2 a^3 b^3 - a^2 b^4 - a b^5 + b^6 - a^5 c + 3 a^4 b c - 2 a^2 b^3 c + a b^4 c - b^5 c - a^4 |
| 1788 | weak | ((a + b - c) (a - b + c) ( a^2 + 2 a b - b^2 + 2 a c - 2 b c - c^2)) |
| 1789 | weak | (a (a + b) (a - b - c) (a + c) (a^2 - b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 + a c + c^2)) |
| 1790 | weak | (a^2 (a + b) (a + c) (a^2 - b^2 - c^2)) |
| 1791 | weak | (a (a^2 + b^2 + a c + b c) (a^2 - b^2 - c^2) (a^2 + a b + b c + c^2)) |
| 1792 | weak | (a (a + b) (a - b - c)^2 (a + c) (a^2 - b^2 - c^2)) |
| 1793 | weak | (a (a + b) (a - b - c) (a + c) (a^2 - b^2 - c^2) (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 1794 | weak | (a^2 ( a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 - 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c - 2 a b c - b^2 c - a c^2 + c^3)) |
| 1795 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 1796 | weak | (a^2 (a + 2 b + c) (a + b + 2 c) (a^2 - b^2 - c^2)) |
| 1797 | weak | (a^2 (a + b - 2 c) (a - 2 b + c) (a^2 - b^2 - c^2)) |
| 1798 | weak | (a^2 (a + b) (a + c) (a^2 + b^2 + a c + b c) (a^2 - b^2 - c^2) (a^2 + a b + b c + c^2)) |
| 1800 | weak | (a^2 (a + b) (a - b - c) (a + c) (a^2 - b^2 - c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)) |
| 1801 | weak | (a^2 (a + b) (a + c) (a^2 - b^2 - c^2) (a^3 - a^2 b + a b^2 - b^3 - a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 - c^3)) |
| 1802 | weak | (a^3 (a - b - c)^2 (a^2 - b^2 - c^2)) |
| 1803 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - 2 a b + b^2 - a c - b c) ( a^2 - b^2 - c^2) (a^2 - a b - 2 a c - b c + c^2)) |
| 1804 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - b^2 - c^2)^2) |
| 1807 | weak | (a (a^2 - b^2 - c^2) ( a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 1808 | weak | (a^2 (a + b) (a - b - c) (a + c) ((-b^2) + a c) (a b - c^2) (a^2 - b^2 - c^2)) |
| 1809 | weak | (a (a - b - c) (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 1810 | weak | (a^2 (a^2 - b^2 - c^2) (a^2 - a b + 2 b^2 - 2 a c - b c + c^2) (a^2 - 2 a b + b^2 - a c - b c + 2 c^2)) |
| 1811 | weak | (a (a^2 - 4 a b + b^2 + a c + b c) (a^2 - b^2 - c^2) (a^2 + a b - 4 a c + b c + c^2)) |
| 1812 | weak | (a (a + b) ( a - b - c) (a + c) (a^2 - b^2 - c^2)) |
| 1813 | weak | (a^2 (a - b) (a + b - c) ((-a) + c) (a - b + c) (a^2 - b^2 - c^2)) |
| 1814 | weak | (a (a^2 + b^2 - a c - b c) (a^2 - b^2 - c^2) (a^2 - a b - b c + c^2)) |
| 1815 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 1816 | weak | (a (a + b) (a - b - c) (a + c) (a^5 b - 2 a^3 b^3 + a b^5 + a^5 c + a^4 b c - a b^4 c - b^5 c - 2 a^3 c^3 + 2 b^3 c^3 - a b c^4 + a c^5 - b c^5)) |
| 1817 | weak | (a (a + b) ( a + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 1818 | weak | (a^2 (a^2 - b^2 - c^2) (a b - b^2 + a c - c^2)) |
| 1819 | weak | (a^2 (a + b) (a - b - c) (a + c) ( a^2 - b^2 - c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 1820 | weak | (a (a^2 - b^2 - c^2) (a4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1821 | weak | (b c (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 1824 | weak | (a (b + c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1825 | weak | (a (a + b - c) (a - b + c) (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + c^2)) |
| 1826 | weak | (( b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 1827 | weak | (a (a - b - c) (a^2 + b^2 - c^2) (a b - b^2 + a c + 2 b c - c^2) (a^2 - b^2 + c^2)) |
| 1828 | weak | (a (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a b + b^2 + a c - 2 b c + c^2)) |
| 1829 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a b + b^2 + a c + c^2)) |
| 1830 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c - 2 a^2 b c + 2 a b^2 c - b^3 c - a^2 c^2 + 2 a b c^2 - a c^3 - |
| 1831 | weak | (a (a - b - c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^3 b + a^2 b^2 - a b^3 - b^4 + a^3 c + 2 a^2 b c + 2 a b^2 c + b^3 c + a^2 c^2 + 2 a b c |
| 1834 | weak | ((b + c) (2 a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 1835 | weak | (a (a + b - c) (a - b + c) (b + c) ( a^2 + b^2 - c^2) (a^2 - b^2 + b c - c^2) (a^2 - b^2 + c^2)) |
| 1836 | weak | (a^3 - b^3 + b^2 c + b c^2 - c^3) |
| 1837 | weak | ((a - b - c) (a^3 + b^3 - b^2 c - b c^2 + c^3)) |
| 1838 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 1839 | weak | ((2 a + b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1840 | weak | ((b + c) ( a^2 + b c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 1841 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 1842 | weak | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 1844 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 1845 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + b c - c^2) ( a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1846 | weak | ((2 a - b - c) (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1847 | weak | (b ((-a) + b - c)^2 c ((-a) - b + c)^2 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 1848 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a b + b^2 + a c + c^2)) |
| 1851 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 + b^2 - 2 b c + c^2)) |
| 1852 | weak | ((a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^5 + 2 a^4 b - a^3 b^2 - a^2 b^3 - a b^4 - b^5 + 2 a^4 c + 4 a^3 b c + a^2 b^2 c + b^4 c |
| 1854 | weak | (a (a - b - c) (a^5 + 2 a^2 b^3 - a b^4 - 2 b^5 - 2 a^2 b^2 c + 2 b^4 c - 2 a^2 b c^2 + 2 a b^2 c^2 + 2 a^2 c^3 - a c^4 + 2 b c^4 - 2 c^5)) |
| 1855 | weak | ((a - b - c) (a^2 + b^2 - c^2) (a b - b^2 + a c + 2 b c - c^2) (a^2 - b^2 + c^2)) |
| 1856 | weak | ((a - b - c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^3 b + a^2 b^2 - a b^3 - b^4 + a^3 c - 2 a^2 b c + a b^2 c + a^2 c^2 + a b c^2 + 2 b^2 c^2 |
| 1857 | weak | ((a - b - c) ( a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2) |
| 1858 | weak | (a (a - b - c) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c + 2 a^3 b c + 2 a^2 b^2 c - b^4 c + 2 a^2 b c^2 - 2 a^2 c^3 - b c^4 + c^5)) |
| 1859 | weak | (a (a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 1860 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 b^2 - a b^4 + a^2 b^2 c - b^4 c + a^3 c^2 + a^2 b c^2 + 2 a b^2 c^2 + b^3 c^2 + b^2 c^3 - a c^4 |
| 1861 | weak | (( a^2 + b^2 - c^2) (a b - b^2 + a c - c^2) ( a^2 - b^2 + c^2)) |
| 1862 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^2 - 2 a b + b^2 - 2 a c + c^2)) |
| 1863 | weak | ((a - b - c)^2 ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 + b^2 - 2 b c + c^2)) |
| 1864 | weak | (a (a - b - c) ( a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + 2 a^2 b c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4)) |
| 1865 | weak | (( b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((- a^2) b + b^3 - a^2 c - 2 a b c - b^2 c - b c^2 + c^3)) |
| 1866 | weak | (a (a + b - c) ( a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c - 2 a b c - c^3)) |
| 1867 | weak | ((b + c) (a^2 + a b + a c + 2 b c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 1868 | weak | (a (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 + 4 a^2 b c + 4 a b^2 c - 2 a^2 c^2 + 4 a b c^2 + 6 b^2 c^2 + c^4)) |
| 1869 | weak | ((b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((-3) a^2 - 2 a b + b^2 - 2 a c - 2 b c + c^2)) |
| 1870 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + b c - c^2) (a^2 - b^2 + c^2)) |
| 1871 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - 2 a^2 b c^2 - 4 a b^2 c^2 - 2 b^3 c^2 - 2 a^ |
| 1872 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - 2 a^2 b c^2 + 4 a b^2 c^2 - 2 b^3 c^2 - 2 a^ |
| 1873 | weak | ((a + b - c) (a - b + c) (b + c) (a^2 + b^2 - c^2) (a2 - b^2 + c^2) (a^3 - a b^2 - 3 a b c - 2 b^2 c - a c^2 - 2 b c^2)) |
| 1874 | weak | ((a + b - c) (a - b + c) (b + c) (a^2 - b c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1875 | weak | (a ( a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 1876 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a b - b^2 + a c - c^2) (a^2 - b^2 + c^2)) |
| 1877 | weak | ((2 a - b - c) (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1878 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a b + b^2 + a c - 4 b c + c^2)) |
| 1880 | weak | (a (a + b - c) (a - b + c) (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1881 | weak | ((b + c) ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 - a^4 b c + 2 a^2 b^3 c - b^5 c + a^4 c^2 - b^4 c^2 + 2 a^2 b |
| 1882 | weak | ((a + b - c) (a - b + c) (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 - a b^2 - 2 a b c - 2 b^2 c - a c^2 - 2 b c^2)) |
| 1883 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a b^2 + b^3 - 2 a b c + b^2 c + a c^2 + b c^2 + c^3)) |
| 1884 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^3 - a b^2 + b^3 - b^2 c - a c^2 - b c^2 + c^3)) |
| 1886 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)) |
| 1887 | weak | (a (a + b - c) ( a - b + c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^2 b - b^3 + a^2 c + 2 a b c - 3 b^2 c - 3 b c^2 - c^3)) |
| 1888 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - 2 a^3 b c + 2 a^2 b^2 c + 2 a b^3 c - 3 b^4 c + 2 a^2 b c^2 + 4 a b |
| 1889 | weak | ((a^2 + 2 a b + 2 a c + 2 b c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2)) |
| 1890 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^2 + a b + b^2 + a c + c^2)) |
| 1891 | weak | ((a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (2 a^3 + a^2 b + b^3 + a^2 c + 2 a b c + b^2 c + b c^2 + c^3)) |
| 1892 | weak | ((a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 - b^3 - b^2 c - b c^2 - c^3)) |
| 1893 | weak | ((a + b - c) (a - b + c) (b + c) (a^2 - a b - a c - 2 b c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1894 | weak | ((a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^2 b + a b^2 - b^3 + 2 a^2 c + b^2 c + a c^2 + b c^2 - c^3)) |
| 1895 | weak | (b c ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) ((-3) a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 1896 | weak | (b (a + b) c (a + c) ((- a) + b + c) ((-a^2) + b^2 - c^2)^2 ((-a^2) - b^2 + c^2)^2) |
| 1897 | weak | ((a - b) ((-a) + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1898 | weak | (a (a^5 b - a^4 b^2 - 2 a^3 b^3 + 2 a^2 b^4 + a b^5 - b^6 + a^5 c + 2 a^4 b c - a b^4 c - 2 b^5 c - a^4 c^2 - 4 a^2 b^2 c^2 + b^4 c^2 - 2 a^ |
| 1900 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a b + b^2 + a c + 4 b c + c^2)) |
| 1901 | weak | ((b + c) ((-2) a^4 - a^3 b + a^2 b^2 + a b^3 + b^4 - a^3 c - 2 a^2 b c - a b^2 c + a^2 c^2 - a b c^2 - 2 b^2 c^2 + a c^3 + c^4)) |
| 1902 | weak | (a (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - 2 a^3 b c + 2 a b^3 c - b^4 c + 4 a b^2 c^2 - 2 a^2 c^3 + 2 a b c^ |
| 1903 | weak | (a (b + c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^ |
| 1904 | weak | (( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a b^2 + b^3 + 4 a b c + b^2 c + a c^2 + b c^2 + c^3)) |
| 1905 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - b^4 c - 4 a b^2 c^2 - 2 a^2 c^3 - b c^4 + c^5)) 10 |
| 1908 | weak | (a^2 (a^2 b^2 + a b^2 c + b^3 c + a^2 c^2 + a b c^2 + b c^3)) |
| 1909 | weak | (b c (a^2 + b c)) |
| 1910 | weak | (a (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 1911 | weak | (a^3 ((-b^2) + a c) (a b - c^2)) |
| 1912 | weak | (a^3 (b - c) (a b^3 + a b^2 c + a b c^2 - b^2 c^2 + a c^3)) |
| 1913 | weak | (a^3 ( a^3 b^2 + a b^3 c + b^4 c + a^3 c^2 + a b c^3 + b c^4)) |
| 1914 | weak | (a^2 (a^2 - b c)) |
| 1917 | weak | (a^7) |
| 1918 | weak | (a^4 (b + c)) |
| 1919 | weak | (a^4 (b - c)) |
| 1920 | weak | (b^2 c^2 (a^2 + b c)) |
| 1921 | weak | (b^2 c^2 ((-a^2) + b c)) |
| 1922 | weak | (a^4 ((-b^2) + a c) (a b - c^2)) |
| 1923 | weak | (a^5 (b^2 + c^2)) |
| 1924 | weak | (a^5 (b - c) (b + c)) |
| 1925 | weak | (b^3 c^3 (a^4 + b^2 c^2)) |
| 1926 | weak | (b^3 c^3 (a^2 - b c) (a^2 + b c)) |
| 1927 | weak | (a^5 ((-b^2) + a c) (b^2 + a c) (a b - c^2) (a b + c^2)) |
| 1928 | weak | (b^5 c^5) |
| 1929 | weak | (a (a^2 + a b + b^2 - a c - b c - c^2) (a^2 - a b - b^2 + a c - b c + c^2)) |
| 1930 | weak | (b c (b^2 + c^2)) |
| 1931 | weak | (a (a + b) (a + c) (a^2 + a b - b^2 + a c - b c - c^2)) |
| 1932 | weak | (a^3 (a^4 + b^2 c^2)) |
| 1933 | weak | (a^3 (a^2 - b c) (a^2 + b c)) |
| 1934 | weak | (b c ( b^2 - a c) (b^2 + a c) ((-a) b + c^2) ( a b + c^2)) |
| 1935 | weak | (a (a + b - c) (a - b + c) (a^4 - a^2 b^2 - a^2 b c + b^3 c - a^2 c^2 + 2 b^2 c^2 + b c^3)) 7 |
| 1936 | weak | (a (a - b - c) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 1937 | weak | (a (a + b - c) (a - b + c) (a^2 b^2 - b^4 + a^3 c - a b^2 c - 2 a^2 c^2 + b^2 c^2 + a c^3) (a^3 b - 2 a^2 b^2 + a b^3 + a^2 c^2 - a b c^2 + b^ |
| 1939 | weak | (a (a^4 b^2 - a^3 b^3 - a^2 b^4 + a b^5 - 2 a^4 b c + 2 a^3 b^2 c + a^2 b^3 c - b^5 c + a^4 c^2 + 2 a^3 b c^2 - a b^3 c^2 - a^3 c^3 + a^2 |
| 1940 | weak | ((a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 - a^2 b c + b^3 c - a^2 c^2 + 2 b^2 c^2 + b c^3)) |
| 1942 | weak | (a^2 (a^2 - b^2 - c^2) ((-a^2) b^2 + b^4 + a^3 c - a b^2 c + 2 a^2 c^2 - b^2 c^2 + a c^3) (a^2 b^2 - b^4 + a^3 c - a b^2 c - 2 a^2 c^2 + b^2 |
| 1943 | weak | ((a + b - c) (a - b + c) ( a^4 - a^2 b^2 - a^2 b c + b^3 c - a^2 c^2 + 2 b^2 c^2 + b c^3)) |
| 1944 | weak | ((a - b - c) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 1945 | weak | (a^2 (a + b - c) (a - b + c) (a^2 b^2 - b^4 + a^3 c - a b^2 c - 2 a^2 c^2 + b^2 c^2 + a c^3) (a^3 b - 2 a^2 b^2 + a b^3 + a^2 c^2 - a b c^2 + |
| 1946 | weak | (a^3 (b - c) ( a^3 b^2 - a^2 b^3 - a b^4 + b^5 + a^3 b c - 2 a^2 b^2 c + a b^3 c + a^3 c^2 - 2 a^2 b c^2 + 2 a b^2 c^2 + b^3 c^2 - a^2 c^3 + |
| 1947 | weak | (b ((-a) + b - c) c ((-a) - b + c) ((- a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2) (a^4 - a^2 b^2 - a^2 b c + b^3 c - a^2 c^2 + 2 b^2 c^2 + b c^3)) |
| 1948 | weak | (b c ((- a) + b + c) ((-a^2) + b^2 - c^2) ((-a^2) - b2 + c^2) ((-a^4) + a^2 b^2 - a^2 b c + b^3 c + a^2 c^2 - 2 b^2 c^2 + b c^3)) |
| 1949 | weak | (a^3 (a + b - c) (a - b + c) (a^2 - b^2 - c^2) (a^2 b^2 - b^4 + a^3 c - a b^2 c - 2 a^2 c^2 + b^2 c^2 + a c^3) (a^3 b - 2 a^2 b^2 + a b^3 + a^ |
| 1950 | weak | (a^2 (a + b - c) (a - b + c) (a^4 - a^2 b^2 - a^2 b c + b^3 c - a^2 c^2 + 2 b^2 c^2 + b c^3)) |
| 1951 | weak | (a^2 (a - b - c) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 1952 | weak | ((a + b - c) (a - b + c) (a^2 b^2 - b^4 + a^3 c - a b^2 c - 2 a^2 c^2 + b^2 c^2 + a c^3) (a^3 b - 2 a^2 b^2 + a b^3 + a^2 c^2 - a b c^2 + b^2 c |
| 1953 | weak | (a (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 1954 | weak | (a (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + 3 a^4 b^2 c^2 - b^6 c^2 + a^4 c^4 + 2 b^4 c^4 - b^2 c^6)) |
| 1955 | weak | (a (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + a^4 b^2 c^2 + b^6 c^2 + a^4 c^4 - 2 b^4 c^4 + b^2 c^6)) |
| 1956 | weak | (a (a^4 b^4 - 2 a^2 b^6 + b^8 + a^6 c^2 + a^2 b^4 c^2 - 2 b^6 c^2 - 2 a^4 c^4 + b^4 c^4 + a^2 c^6) (a^6 b^2 - 2 a^4 b^4 + a^2 b^6 + a^4 |
| 1957 | weak | (a (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2) (a^4 - a^2 b^2 - a^2 c^2 + 2 b^2 c^2)) |
| 1958 | weak | (a (a^4 - a^2 b^2 - a^2 c^2 + 2 b^2 c^2)) |
| 1959 | weak | (a (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 1960 | weak | (a^2 (2 a - b - c) (b - c)) |
| 1961 | weak | (a (a^2 + a b + b^2 + a c + 3 b c + c^2)) |
| 1962 | weak | (a (b + c) (2 a + b + c)) |
| 1963 | weak | (a (a + b) (a + c) ( a^2 + a b + b^2 + a c + 3 b c + c^2)) |
| 1964 | weak | (a^3 (b^2 + c^2)) |
| 1965 | weak | (b c (a^4 + b^2 c^2)) |
| 1966 | weak | (b c ((- a^2) + b c) (a^2 + b c)) |
| 1967 | weak | (a^3 ((-b^2) + a c) ( b^2 + a c) (a b - c^2) (a b + c^2)) |
| 1969 | weak | (b^3 c^3 ((-a^2) + b^2 - c^2) ((-a^2) - b^2 + c^2)) |
| 1973 | weak | (a^3 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 1977 | weak | (a^4 (b - c)^2) |
| 1978 | weak | ((a - b) b^2 c^2 ((-a) + c)) |
| 1979 | weak | (a^2 (a^2 b^2 - 3 a^2 b c + a b^2 c + a^2 c^2 + a b c^2 - b^2 c^2)) |
| 1980 | weak | (a^5 (b - c)) |
| 1981 | weak | ((a - b) ((-a) + c) (a2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 1982 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^3 b - a^2 b^2 + 2 a b^3 - 2 a^3 c - a^2 b c + 2 a b^2 c + b^3 c - a^2 c^2 + 2 a |
| 1983 | weak | (a^3 (a - b) ((- a) + c) (a^2 - b^2 + b c - c^2)) |
| 1984 | weak | (a (a + b) (a - b - c)^4 (b - c)^2 (a + c) (a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 1985 | weak | (a^3 b^3 - a b^5 + a^4 b c - b^5 c + a b^3 c^2 + a^3 c^3 + a b^2 c^3 + 2 b^3 c^3 - a c^5 - b c^5) |
| 1996 | weak | ((a + b - c)^2 (a - b + c)2 (a^2 - 2 a b + b^2 - 2 a c + 4 b c + c^2)) |
| 1997 | weak | (a^3 - a^2 b - a b^2 + b^3 - a^2 c + 8 a b c - 3 b^2 c - a c^2 - 3 b c^2 + c^3) |
| 1998 | weak | (a (a^5 - 3 a^4 b + 2 a^3 b^2 + 2 a^2 b^3 - 3 a b^4 + b^5 - 3 a^4 c + 4 a^3 b c + 2 a^2 b^2 c - 4 a b^3 c + b^4 c + 2 a^3 c^2 + 2 a^2 b c^2 |
| 1999 | weak | (a^3 + a^2 b + a^2 c + a b c - b^2 c - b c^2) |
| 2000 | weak | (a ( a^5 - a^4 b - a b^4 + b^5 - a^4 c + 2 a^3 b c - 2 a b^3 c + b^4 c + 2 a b^2 c^2 - 2 b^3 c^2 - 2 a b c^3 - 2 b^2 c^3 - a c^4 + b c^4 + c^5)) |
| 2002 | weak | (a (a + b - c) (a - b + c) (a^5 - a^4 b - a b^4 + b^5 - a^4 c + 2 a^3 b c - 2 a b^3 c + b^4 c + 2 a b^2 c^2 - 2 b^3 c^2 - 2 a b c^3 - 2 b^2 c^3 - |
| 2003 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - b^2 - b c - c^2)) |
| 2006 | weak | ((a + b - c) (a - b + c) (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 2022 | weak | (a^2 (a^8 b + 2 a^7 b^2 - 3 a^6 b^3 - 4 a^5 b^4 + 3 a^4 b^5 + 2 a^3 b^6 - a^2 b^7 + a^8 c - a^6 b^2 c - a^4 b^4 c + a^2 b^6 c + 2 a^7 c^ |
| 2049 | weak | (a^4 + 2 a^3 b + 3 a^2 b^2 + 2 a b^3 + 2 a^3 c + 6 a^2 b c + 6 a b^2 c + 2 b^3 c + 3 a^2 c^2 + 6 a b c^2 + 4 b^2 c^2 + 2 a c^3 + 2 b c^3) |
| 2050 | weak | (a^6 + 2 a^3 b^3 - a^2 b^4 - 2 a b^5 + 4 a^4 b c - 2 a^3 b^2 c - 2 a^2 b^3 c + 2 a b^4 c - 2 b^5 c - 2 a^3 b c^2 + 6 a^2 b^2 c^2 + 2 a^3 c^3 |
| 2051 | weak | ((-a^2) b + b^3 - a^2 c + a b c - a c^2 - b c^2) ((-a^2) b - a b^2 - a^2 c + a b c - b^2 c + c^3)) |
| 2053 | weak | (a^2 (a - b - c) (a b - a c - b c) ((-a) b + a c - b c)) |
| 2054 | weak | (a^2 (b + c) (a^2 + a b + b^2 - a c - b c - c^2) (a^2 - a b - b^2 + a c - b c + c^2)) |
| 2057 | weak | (a ( a - b - c) ( a^5 - a^4 b - 2 a^3 b^2 + 2 a^2 b^3 + a b^4 - b^5 - a^4 c + 4 a^3 b c + 2 a^2 b^2 c - 4 a b^3 c - b^4 c - 2 a^3 c^2 + 2 a^2 b |
| 2061 | weak | (a^2 (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3) (a^14 + 2 a^13 b - 5 a^12 b^2 - 12 a^11 b^3 + 9 a^10 b^4 + |
| 2062 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - b^2 - c^2) (a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b^8 - 3 a^6 b c + 5 a^4 b^3 c - a^2 b^5 c - b^7 c - 2 a^6 c^2 + 1 |
| 2064 | weak | (b c ((-a^4) + b^4 - a^2 b c + b^3 c + b c^3 + c^4)) |
| 2073 | weak | (a^2 (a + b) (a + c) (a^2 + b2 - c^2) (a^2 - b^2 + c^2) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c - a^2 b c - a b^2 c + b^3 c - a^2 c^2 - a b c^2 |
| 2074 | weak | (a (a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 - a^2 b - a b^2 + b^3 - a^2 c - a b c + b^2 c - a c^2 + b c^2 + c^3)) |
| 2075 | weak | (a^2 (a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - a^3 b c - a^2 b^2 c + a b^3 c - a^2 b c^2 + a b^2 |
| 2077 | weak | (a^2 (a^5 - a^4 b - 2 a^3 b^2 + 2 a^2 b^3 + a b^4 - b^5 - a^4 c + 3 a^3 b c + a^2 b^2 c - 3 a b^3 c - 2 a^3 c^2 + a^2 b c^2 + b^3 c^2 + 2 a |
| 2078 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - 2 a b + b^2 - 2 a c + b c + c^2)) |
| 2081 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2082 | weak | (a (a - b - c) (a^2 + b^2 - 2 b c + c^2)) |
| 2083 | weak | (a (a^2 - b^2 - c^2) (a^4 + b^4 - 2 b^2 c^2 + c^4)) |
| 2084 | weak | (a^3 (b - c) (b + c) (b^2 + c^2)) |
| 2085 | weak | (a^3 (b^4 + c^4)) |
| 2086 | weak | (a^2 (b - c)^2 (b + c)^2 (a^2 - b c) (a^2 + b c)) |
| 2087 | weak | (a (2 a - b - c) (b - c)^2) |
| 2088 | weak | (a^2 (b - c)^2 (b + c)^2 (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2)) |
| 2092 | weak | (a^2 (b + c) (a b + b^2 + a c + c^2)) |
| 2093 | weak | (a (a^3 + 3 a^2 b - a b^2 - 3 b^3 + 3 a^2 c - 2 a b c + 3 b^2 c - a c^2 + 3 b c^2 - 3 c^3)) |
| 2094 | weak | (5 a^3 + a^2 b - 5 a b^2 - b^3 + a^2 c + 6 a b c + b^2 c - 5 a c^2 + b c^2 - c^3) |
| 2095 | weak | (a (a^6 + a^5 b - 4 a^4 b^2 - 2 a^3 b^3 + 5 a^2 b^4 + a b^5 - 2 b^6 + a^5 c - 2 a^4 b c - 2 a^2 b^3 c - a b^4 c + 4 b^5 c - 4 a^4 c^2 + 2 a^ |
| 2096 | weak | (3 a^7 - a^6 b - 7 a^5 b^2 + a^4 b^3 + 5 a^3 b^4 + a^2 b^5 - a b^6 - b^7 - a^6 c + 10 a^5 b c - a^4 b^2 c - 8 a^3 b^3 c + a^2 b^4 c - 2 a b |
| 2097 | weak | (a (a^4 + a^3 b + a^2 b^2 - a b^3 - 2 b^4 + a^3 c - 2 a^2 b c + a b^2 c + 4 b^3 c + a^2 c^2 + a b c^2 - 4 b^2 c^2 - a c^3 + 4 b c^3 - 2 c^4)) |
| 2098 | weak | (a (a - b - c) (a^2 - a b - 2 b^2 - a c + 4 b c - 2 c^2)) |
| 2099 | weak | (a (a - 2 b - 2 c) (a + b - c) (a - b + c)) |
| 2106 | weak | (a (a + b) (a + c) (a^2 b^2 + a^2 b c - a b^2 c + a^2 c^2 - a b c^2 - b^2 c^2)) |
| 2107 | weak | (a^2 (b + c) (a^2 b^2 + a^2 b c + a b^2 c - a^2 c^2 - a b c^2 - b^2 c^2) ((- a^2) b^2 + a^2 b c - a b^2 c + a^2 c^2 + a b c^2 - b^2 c^2)) |
| 2108 | weak | (a (a^3 b - a^2 b^2 - a b^3 + a^3 c + a^2 b c - a b^2 c + b^3 c - a^2 c^2 - a b c^2 + b^2 c^2 - a c^3 + b c^3)) |
| 2109 | weak | (a^2 ((-a^3) b - a^2 b^2 - a b^3 + a^3 c + a^2 b c + a b^2 c + b^3 c + a^2 c^2 - a b c^2 + b^2 c^2 - a c^3 - b c^3) (a^3 b + a^2 b^2 - a b^3 |
| 2110 | weak | (a^2 (a^3 b^2 - a^2 b^3 + a3 b c - a^2 b^2 c - a b^3 c + a^3 c^2 - a^2 b c^2 + a b^2 c^2 + b^3 c^2 - a^2 c^3 - a b c^3 + b^2 c^3)) |
| 2111 | weak | (a ((-a^3) b^2 - a^2 b^3 + a^3 b c - a^2 b^2 c + a b^3 c + a^3 c^2 + a^2 b c^2 + a b^2 c^2 + b^3 c^2 - a^2 c^3 - a b c^3 - b^2 c^3) (a^3 b^ |
| 2112 | weak | (a^2 (a^4 - a b^3 - a^2 b c + 2 b^2 c^2 - a c^3)) |
| 2113 | weak | (a (a^3 b - b^4 + a b^2 c - 2 a^2 c^2 + b c^3) ((-2) a^2 b^2 + a^3 c + b^3 c + a b c^2 - c^4)) |
| 2114 | weak | (a (a + b - c) (a - b + c) (a^4 + a^3 b - 2 a^2 b^2 + a b^3 - b^4 + a^3 c - 3 a^2 b c + a b^2 c + b^3 c - 2 a^2 c^2 + a b c^2 + a c^3 + b c^3 - c |
| 2115 | weak | (a^2 (a - b - c) (a^4 - a^3 b - a b^3 + b^4 - a^3 c - a^2 b c - a b^2 c - b^3 c + 2 a^2 c^2 + 3 a b c^2 + 2 b^2 c^2 - a c^3 - b c^3 - c^4) (a^4 - |
| 2116 | weak | (a (a b - b^2 + 2 a c + b c) (2 a b + a c + b c - c^2) (2 a^5 b - a^4 b^2 - a^2 b^4 + 2 a^5 c + a^4 b c - 3 a^3 b^2 c + a^2 b^3 c - a b^4 c - a^4 |
| 2117 | weak | (a^2 (a^2 - a b - a c - 2 b c) (a^4 b^2 + a^2 b^4 - 2 a b^5 + a^4 b c - a^3 b^2 c + 3 a^2 b^3 c - a b^4 c - 2 b^5 c + a^4 c^2 - 3 a^3 b c^2 + a |
| 2122 | weak | (a^2 (a + b - c) (a - b + c) ( a^6 - 3 a^4 b^2 + 3 a^2 b^4 - b^6 + 4 a^4 b c + 4 a^3 b^2 c - 4 a^2 b^3 c - 4 a b^4 c - 3 a^4 c^2 + 4 a^3 b c^2 |
| 2124 | weak | (a (a + b - c) ( a - b + c) (a^4 - 4 a^3 b + 6 a^2 b^2 - 4 a b^3 + b^4 - 4 a^3 c - 4 a^2 b c + 4 a b^2 c + 4 b^3 c + 6 a^2 c^2 + 4 a b c^2 - 10 b |
| 2125 | weak | (a (a - b - c) (a^4 + 4 a^3 b - 10 a^2 b^2 + 4 a b^3 + b^4 - 4 a^3 c + 4 a^2 b c + 4 a b^2 c - 4 b^3 c + 6 a^2 c^2 - 4 a b c^2 + 6 b^2 c^2 - 4 a |
| 2126 | weak | (a^2 (a + b) (a + c) (a^6 + 2 a^5 b + a^4 b^2 - a^2 b^4 - 2 a b^5 - b^6 + 2 a^5 c + 4 a^4 b c + 2 a^3 b^2 c - 2 a^2 b^3 c - 4 a b^4 c - 2 b^5 |
| 2127 | weak | ((b + c) ((-a^6) - 2 a^5 b - a^4 b^2 + a^2 b^4 + 2 a b^5 + b^6 - 2 a^5 c - 4 a^4 b c - 2 a^3 b^2 c + 2 a^2 b^3 c + 4 a b^4 c + 2 b^5 c - a^4 c |
| 2128 | weak | (a (a^2 - b^2 - c^2) (a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 6 b^2 c^2 + c^4)) |
| 2129 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 + 2 a^2 b^2 + b^4 - 6 a^2 c^2 + 2 b^2 c^2 + c^4) (a^4 - 6 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c |
| 2134 | weak | (a (a + b) (a + c) ( a^4 + 2 a^3 b - a^2 b^2 - 2 a b^3 - b^4 + 2 a^3 c - 4 a b^2 c - 2 b^3 c - a^2 c^2 - 4 a b c^2 - b^2 c^2 - 2 a c^3 - 2 b c^3 - |
| 2135 | weak | (a (b + c) (a^4 + 2 a^3 b + a^2 b^2 + 2 a b^3 + b^4 + 2 a^3 c + 4 a^2 b c + 4 a b^2 c + 2 b^3 c + a^2 c^2 + b^2 c^2 - 2 a c^3 - 2 b c^3 - c^4 |
| 2136 | weak | (a (a - b - c) (a^2 + 2 a b + b^2 + 2 a c - 6 b c + c^2)) |
| 2137 | weak | (a (a + b - c) (a - b + c) (a^2 + 2 a b + b^2 - 6 a c + 2 b c + c^2) (a^2 - 6 a b + b^2 + 2 a c + 2 b c + c^2)) |
| 2140 | weak | (-a^2) b^2 + a b^3 - a b^2 c + b^3 c - a^2 c^2 - a b c^2 - 2 b^2 c^2 + a c^3 + b c^3) |
| 2141 | weak | (a^2 (a^3 b - 2 a^2 b^2 + a b^3 + a^3 c - a^2 b c - a b^2 c + b^3 c - a^2 c^2 - b^2 c^2) (a^3 b - a^2 b^2 + a^3 c - a^2 b c - 2 a^2 c^2 - a b |
| 2142 | weak | ((a - b) (a + b) ((- a) + c) (a + c) ((-a^6) b^6 + a^8 b^2 c^2 - a^6 b^4 c^2 + 5 a^4 b^6 c^2 - a^2 b^8 c^2 - a^6 b^2 c^4 - 4 a^4 b^4 c^4 - a^ |
| 2143 | weak | (a^2 (b - c) (b + c) ((- a^6) b^6 + a^8 b^2 c^2 + a^6 b^4 c^2 + a^4 b^6 c^2 + a^2 b^8 c^2 - 5 a^6 b^2 c^4 + 4 a^4 b^4 c^4 - 5 a^2 b^6 c^4 |
| 2144 | weak | (a^2 ((-b^2) + a c) (a b - c^2) (a^6 b^3 - a^3 b^6 + a^4 b^4 c - 5 a^5 b^2 c^2 + a^2 b^5 c^2 + a^6 c^3 + 4 a^3 b^3 c^3 + b^6 c^3 + a^4 b |
| 2145 | weak | (a (a^2 - b c) ((-a^6) b^3 - a^3 b^6 + 5 a^4 b^4 c - a^5 b^2 c^2 - a^2 b^5 c^2 + a^6 c^3 - 4 a^3 b^3 c^3 + b^6 c^3 - a^4 b c^4 - a b^4 c^4 |
| 2148 | weak | (a^3 (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 2149 | weak | (a^3 (a - b)^2 (a + b - c) ((-a) + c)^2 (a - b + c)) |
| 2150 | weak | (a^3 (a + b)^2 (a - b - c) (a + c)^2) |
| 2155 | weak | (a^3 (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a^2 b^2 - 3 b^4 - 2 a^2 c^2 + 2 b^2 c^2 + c^4)) |
| 2156 | weak | (a (a^4 + b^4 - c^4) ( a^4 - b^4 + c^4)) |
| 2157 | weak | (a (a^4 - a^2 b^2 + b^4 - c^4) (a^4 - b^4 - a^2 c^2 + c^4)) |
| 2158 | weak | (a (a^8 - 2 a^6 b^2 + 2 a^4 b^4 - 2 a^2 b^6 + b^8 - 2 a^6 c^2 - 2 b^6 c^2 + 2 a^2 c^6 + 2 b^2 c^6 - c^8) ( a^8 - 2 a^6 b^2 + 2 a^2 b^6 - b |
| 2159 | weak | (a^3 (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4)) |
| 2160 | weak | (a ( a^2 + a b + b^2 - c^2) ( a^2 - b^2 + a c + c^2)) |
| 2161 | weak | (a (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 2162 | weak | (a^2 (a b - a c - b c) ((-a) b + a c - b c)) |
| 2163 | weak | (a^2 (2 a + 2 b - c) ( 2 a - b + 2 c)) |
| 2164 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 + a^2 c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c - b^2 c - a c^2 + b c^2 + c^3)) |
| 2166 | weak | (b c ( a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2)) |
| 2167 | weak | (a (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 2168 | weak | (a (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - 2 a^2 b^2 + b^4 - 2 b^2 c^2 + c^4) (a^4 + b^4 - 2 a^2 c^2 - 2 b^2 c^2 + c^4) ( a^4 - |
| 2169 | weak | (a^3 (a^2 - b^2 - c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 2170 | weak | (a (a - b - c) (b - c)^2) |
| 2171 | weak | (a (a + b - c) (a - b + c) (b + c)^2) |
| 2172 | weak | (a^3 (a^4 - b^4 - c^4)) |
| 2173 | weak | (a (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2174 | weak | (a^3 (a^2 - b^2 - b c - c^2)) |
| 2175 | weak | (a^4 (a - b - c)) |
| 2176 | weak | (a^2 (a b + a c - b c)) |
| 2177 | weak | (a^2 (a - 2 b - 2 c)) |
| 2178 | weak | (a^2 (a^3 + a^2 b - a b^2 - b^3 + a^2 c + b^2 c - a c^2 + b c^2 - c^3)) |
| 2179 | weak | (a^3 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2180 | weak | (a^3 ( a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 + c^4)) |
| 2181 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2182 | weak | (a (2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + a c^3 - c^4)) |
| 2183 | weak | (a^2 (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 2184 | weak | (a (a^4 - 2 a^2 b^2 + b^4 + 2 a^2 c^2 + 2 b^2 c^2 - 3 c^4) (a^4 + 2 a^2 b^2 - 3 b^4 - 2 a^2 c^2 + 2 b^2 c^2 + c^4)) |
| 2185 | weak | (a (a + b)^2 (a - b - c) (a + c)^2) |
| 2186 | weak | (a (a^2 b^2 - b^4 + 2 a^2 c^2 + b^2 c^2) (2 a^2 b^2 + a^2 c^2 + b^2 c^2 - c^4)) |
| 2187 | weak | (a^3 (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 2188 | weak | (a^3 (a - b - c) (a^2 - b^2 - c^2) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c |
| 2189 | weak | (a^2 (a + b)^2 (a - b - c) (a + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2190 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) 13 |
| 2191 | weak | (a (a^2 - 2 a b + b^2 - 2 b c + c^2) (a^2 + b^2 - 2 a c - 2 b c + c^2)) |
| 2192 | weak | (a^2 (a - b - c) ( a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) ( a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 |
| 2193 | weak | (a^3 (a + b) (a - b - c) (a + c) (a^2 - b^2 - c^2)) |
| 2194 | weak | (a^3 (a + b) (a - b - c) (a + c)) |
| 2195 | weak | (a^2 (a - b - c) (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 2196 | weak | (a^3 ((-b^2) + a c) (a b - c^2) (a^2 - b^2 - c^2)) |
| 2197 | weak | (a^2 (a + b - c) (a - b + c) (b + c)^2 (a^2 - b^2 - c^2)) |
| 2198 | weak | (a^3 (b + c) (a^2 b - b^3 + a^2 c + a b c - c^3)) |
| 2199 | weak | (a^3 (a + b - c) (a - b + c) ( a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 2200 | weak | (a^4 ( b + c) (a^2 - b^2 - c^2)) |
| 2201 | weak | (a (a^2 - b c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2202 | weak | (a (a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^4 - a^2 b^2 + a^2 b c - b^3 c - a^2 c^2 + 2 b^2 c^2 - b c^3)) |
| 2203 | weak | (a^3 (a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2204 | weak | (a^3 (a + b) (a - b - c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2205 | weak | (a^5 (b + c)) |
| 2206 | weak | (a^4 (a + b) (a + c)) |
| 2208 | weak | (a^3 (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a c^2 + |
| 2209 | weak | (a^3 (a b + a c - b c)) |
| 2210 | weak | (a^3 (a^2 - b c)) |
| 2212 | weak | (a^3 (a - b - c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2213 | weak | (a^2 (a + b - c) (a - b + c) (a^3 + a^2 b + 3 a b^2 + 3 b^3 - a^2 c + 2 a b c + 3 b^2 c - a c^2 + b c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 + a^2 |
| 2214 | weak | (a (a^2 + a b + b^2 + a c + b c) (a^2 + a b + a c + b c + c^2)) |
| 2215 | weak | (a^2 (a^2 b - b^3 + 2 a^2 c + 2 a b c + 2 a c^2 + b c^2) (2 a^2 b + 2 a b^2 + a^2 c + 2 a b c + b^2 c - c^3)) |
| 2217 | weak | (a (a^3 + b^3 + a b c - a c^2 - b c^2) (a^3 - a b^2 + a b c - b^2 c + c^3)) |
| 2218 | weak | (a (a^3 + b^3 - a b c - a c^2 - b c^2) (a^3 - a b^2 - a b c - b^2 c + c^3)) |
| 2219 | weak | (a (a^5 - a^3 b^2 - a^2 b^3 + b^5 - a^3 b c - 2 a^2 b^2 c - a b^3 c - 2 a^3 c^2 - a^2 b c^2 - a b^2 c^2 - 2 b^3 c^2 + a b c^3 + a c^4 + b c^4 |
| 2220 | weak | (a^3 (a^2 + a b + a c - b c)) |
| 2221 | weak | (a^2 (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 2222 | weak | (a (a - b) (a + b - c) ((-a) + c) (a - b + c) ( a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 2223 | weak | (a^3 (a b - b^2 + a c - c^2)) |
| 2224 | weak | (a (a^3 + b^3 - a^2 c - b^2 c) (a^3 - a^2 b - b c^2 + c^3)) |
| 2225 | weak | (a^3 (a b^2 - b^3 + a c^2 - c^3)) |
| 2226 | weak | (a^2 ( a + b - 2 c)^2 (a - 2 b + c)^2) |
| 2227 | weak | (a (a^2 b^4 - b^4 c^2 + a^2 c^4 - b^2 c^4)) |
| 2228 | weak | (a (a b^3 - b^3 c + a c^3 - b c^3)) |
| 2229 | weak | (a (b + c) (a^2 b^2 - a^2 b c + a^2 c^2 - b^2 c^2)) |
| 2230 | weak | (a ( a^3 b^3 + a^3 c^3 - 2 b^3 c^3)) |
| 2231 | weak | (a (b + c) (a^4 b^2 - a^4 b c + a^4 c^2 - b^3 c^3)) |
| 2232 | weak | (a (a^5 b^3 + a^5 c^3 - b^5 c^3 - b^3 c^5)) |
| 2233 | weak | (a (b + c) (a^2 - b c) (b^2 - b c + c^2) ( a^4 + a^2 b c + b^2 c^2)) |
| 2234 | weak | (a ( a^2 b^2 + a^2 c^2 - 2 b^2 c^2)) |
| 2235 | weak | (a (a^3 b^2 + a^3 c^2 - b^3 c^2 - b^2 c^3)) |
| 2236 | weak | (a (a^2 - b c) (a^2 + b c) (b^2 + c^2)) |
| 2237 | weak | (a (a^5 b^2 + a^5 c^2 - b^5 c^2 - b^2 c^5)) |
| 2238 | weak | (a (b + c) (a^2 - b c)) |
| 2239 | weak | (a (a^3 b + a^3 c - b^3 c - b c^3)) |
| 2240 | weak | (a (b + c) (a^4 - b^3 c + b^2 c^2 - b c^3)) |
| 2241 | weak | (a^2 (a^2 - 2 b c)) |
| 2242 | weak | (a^2 (a^2 + 2 b c)) |
| 2243 | weak | (a (2 a^3 - b^3 - c^3)) |
| 2244 | weak | (a (2 a^4 - b^4 - c^4)) |
| 2245 | weak | (a^2 (b + c) ( a^2 - b^2 + b c - c^2)) |
| 2246 | weak | (a (2 a^3 - 2 a^2 b + a b^2 - b^3 - 2 a^2 c + b^2 c + a c^2 + b c^2 - c^3)) |
| 2247 | weak | (a (2 a^6 - 2 a^4 b^2 + a^2 b^4 - b^6 - 2 a^4 c^2 + b^4 c^2 + a^2 c^4 + b^2 c^4 - c^6)) |
| 2248 | weak | (a^2 (a^2 + a b + b^2 + a c + b c - c^2) ( a^2 + a b - b^2 + a c + b c + c^2)) |
| 2250 | weak | (a (b + c) (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 2251 | weak | (a^3 (2 a - b - c)) |
| 2252 | weak | (a^2 (a^2 - b^2 - c^2) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c + a b^2 c - a^2 c^2 + a b c^2 - 2 b^2 c^2 - a c^3 + c^4)) |
| 2253 | weak | (a^3 ( a^2 - b^2 - c^2) (a^3 b^2 - a^2 b^3 - a b^4 + b^5 + a^3 c^2 + 2 a b^2 c^2 - b^3 c^2 - a^2 c^3 - b^2 c^3 - a c^4 + c^5)) |
| 2254 | weak | (a (b - c) (a b - b^2 + a c - c^2)) |
| 2255 | weak | (a^2 (a^3 + 3 a^2 b + 3 a b^2 + b^3 - a^2 c + 2 a b c - b^2 c - a c^2 - b c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 + 3 a^2 c + 2 a b c - b^2 c + 3 |
| 2256 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 - a^2 c + 2 a b c + 3 b^2 c - a c^2 + 3 b c^2 + c^3)) |
| 2257 | weak | (a (a^4 - 2 a^3 b + 2 a b^3 - b^4 - 2 a^3 c - 4 a^2 b c - 2 a b^2 c - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4)) |
| 2258 | weak | (a^2 (a b + b^2 + 2 a c + b c) (2 a b + a c + b c + c^2)) |
| 2259 | weak | (a^2 (a^3 - a^2 b - a b^2 + b^3 - 2 a b c - a c^2 - b c^2) ( a^3 - a b^2 - a^2 c - 2 a b c - b^2 c - a c^2 + c^3)) |
| 2260 | weak | (a^2 (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 2261 | weak | (a (3 a^4 - 2 a^3 b - 2 a^2 b^2 + 2 a b^3 - b^4 - 2 a^3 c + 4 a^2 b c - 2 a b^2 c - 2 a^2 c^2 - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4)) |
| 2262 | weak | (a (a^3 b + a^2 b^2 - a b^3 - b^4 + a^3 c - 2 a^2 b c + a b^2 c + a^2 c^2 + a b c^2 + 2 b^2 c^2 - a c^3 - c^4)) |
| 2263 | weak | (a (a + b - c) (a - b + c) (a^3 - a^2 b + a b^2 - b^3 - a^2 c + 2 a b c + b^2 c + a c^2 + b c^2 - c^3)) |
| 2264 | weak | (a (a - b - c) (2 a^3 + a^2 b + b^3 + a^2 c - b^2 c - b c^2 + c^3)) |
| 2265 | weak | (a ( 2 a^4 - 2 a^3 b - a^2 b^2 + 2 a b^3 - b^4 - 2 a^3 c + 4 a^2 b c - 2 a b^2 c - a^2 c^2 - 2 a b c^2 + 2 b^2 c^2 + 2 a c^3 - c^4)) |
| 2266 | weak | (a^2 (a^5 - 2 a^4 b + 2 a^2 b^3 - a b^4 - 2 a^4 c + 4 a^2 b^2 c - 2 b^4 c + 4 a^2 b c^2 + 2 a b^2 c^2 + 2 b^3 c^2 + 2 a^2 c^3 + 2 b^2 c^3 - |
| 2267 | weak | (a^2 (a^3 - a b^2 + 2 a b c - 2 b^2 c - a c^2 - 2 b c^2)) |
| 2268 | weak | (a^2 (a - b - c) ( a^2 + a b + a c + 2 b c)) |
| 2269 | weak | (a^2 (a - b - c) ( a b + b^2 + a c + c^2)) |
| 2270 | weak | (a (a^4 + 2 a^3 b - 2 a b^3 - b^4 + 2 a^3 c - 4 a^2 b c + 2 a b^2 c + 2 a b c^2 + 2 b^2 c^2 - 2 a c^3 - c^4)) |
| 2271 | weak | (a^2 (a^2 - 2 a b - b^2 - 2 a c - 2 b c - c^2)) |
| 2272 | weak | (a^2 (a^4 b - 2 a^3 b^2 + 2 a b^4 - b^5 + a^4 c + 2 a^3 b c - 2 a b^3 c - b^4 c - 2 a^3 c^2 + 2 b^3 c^2 - 2 a b c^3 + 2 b^2 c^3 + 2 a c^4 - b |
| 2273 | weak | (a^2 (a^3 + b^3 + b^2 c + b c^2 + c^3)) |
| 2274 | weak | (a^2 (a^2 b^2 + a b^3 + a^2 b c + a b^2 c + b^3 c + a^2 c^2 + a b c^2 + a c^3 + b c^3)) |
| 2275 | weak | (a^2 (b^2 - b c + c^2)) |
| 2276 | weak | (a^2 (b^2 + b c + c^2)) |
| 2277 | weak | (a^2 (a b^2 + b^3 + a b c + a c^2 + c^3)) |
| 2278 | weak | (a^2 (a^3 - a b^2 - b^2 c - a c^2 - b c^2)) |
| 2279 | weak | (a^2 (a b - b^2 + 2 a c + b c) (2 a b + a c + b c - c^2)) |
| 2280 | weak | (a^2 (a^2 - a b - a c - 2 b c)) |
| 2281 | weak | (a^3 (b + c) (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 2282 | weak | (a (a^3 b + 2 a^2 b^2 + a b^3 + a^3 c + a^2 b c + a b^2 c + b^3 c - a b c^2 - a c^3 - b c^3) ( a^3 b - a b^3 + a^3 c + a^2 b c - a b^2 c - b^3 |
| 2283 | weak | (a^2 (a - b) (a + b - c) ((-a) + c) (a - b + c) (a b - b^2 + a c - c^2)) |
| 2284 | weak | (a^2 (a - b) ((-a) + c) (a b - b^2 + a c - c^2)) |
| 2285 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 + 2 b c + c^2)) |
| 2286 | weak | (a^2 (a + b - c) (a - b + c) (a^2 - b^2 - c^2) (a^2 + b^2 + 2 b c + c^2)) |
| 2287 | weak | (a (a + b) (a - b - c)^2 (a + c)) |
| 2288 | weak | (a^3 (a^4 b - 2 a^2 b^3 + b^5 + a^4 c - b^4 c - 4 a b^2 c^2 - 2 a^2 c^3 - b c^4 + c^5)) |
| 2289 | weak | (a^3 (a - b - c) (a^2 - b^2 - c^2)^2) |
| 2290 | weak | (a^3 (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2291 | weak | (a^2 (a^2 - 2 a b + b^2 + a c + b c - 2 c^2) (a^2 + a b - 2 b^2 - 2 a c + b c + c^2)) |
| 2292 | weak | (a (b + c) (a b + b^2 + a c + c^2)) |
| 2293 | weak | (a^2 (a - b - c) (a b - b^2 + a c + 2 b c - c^2)) |
| 2294 | weak | (a (b + c) (a^2 b - b^3 + a^2 c + 2 a b c + b^2 c + b c^2 - c^3)) |
| 2295 | weak | (a (b + c) (a^2 + b c)) |
| 2296 | weak | ((a^2 b + a b^2 + a^2 c + a b c + b^2 c) (a^2 b + a^2 c + a b c + a c^2 + b c^2)) |
| 2297 | weak | (a (a^2 + 2 a b + b^2 - 2 a c + 2 b c + c^2) (a^2 - 2 a b + b^2 + 2 a c + 2 b c + c^2)) |
| 2298 | weak | (a (a^2 + b^2 + a c + b c) (a^2 + a b + b c + c^2)) |
| 2299 | weak | (a^2 (a + b) (a - b - c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2300 | weak | (a^3 ( a b + b^2 + a c + c^2)) |
| 2301 | weak | (a^2 (a^5 - 2 a^4 b + 2 a^2 b^3 - a b^4 - 2 a^4 c - a^3 b c + a^2 b^2 c + a b^3 c + b^4 c + a^2 b c^2 + 4 a b^2 c^2 - b^3 c^2 + 2 a^2 c^3 + |
| 2302 | weak | (a^2 (a^6 - a^5 b - 2 a^4 b^2 + 2 a^3 b^3 + a^2 b^4 - a b^5 - a^5 c - a^4 b c + 2 a^2 b^3 c + a b^4 c - b^5 c - 2 a^4 c^2 + 2 a^2 b^2 c^2 + |
| 2303 | weak | (a (a + b) (a + c) (a^2 + b^2 + 2 b c + c^2)) |
| 2304 | weak | (a^3 (a^3 b - a b^3 + a^3 c + a^2 b c - a b^2 c - b^3 c - a b c^2 - 2 b^2 c^2 - a c^3 - b c^3)) |
| 2305 | weak | (a^2 (a^3 + 2 a^2 b - b^3 + 2 a^2 c + a b c - c^3)) |
| 2308 | weak | (a^2 (2 a + b + c)) |
| 2309 | weak | (a^2 (a b^2 + b^2 c + a c^2 + b c^2)) |
| 2310 | weak | (a (a - b - c)^2 (b - c)^2) |
| 2311 | weak | (a^2 (a + b) (a - b - c) (a + c) ((-b^2) + a c) (a b - c^2)) |
| 2312 | weak | (a (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 2313 | weak | (a (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 c^2 + a^4 b^2 c^2 + b^6 c^2 + a^4 c^4 - 2 b^4 c^4 + b^ |
| 2314 | weak | (a (a^2 - b^2 - c^2) (2 a^8 - 3 a^6 b^2 + a^4 b^4 - a^2 b^6 + b^8 - 3 a^6 c^2 + 2 a^4 b^2 c^2 + a^2 b^4 c^2 - 4 b^6 c^2 + a^4 c^4 + a^2 |
| 2315 | weak | (a^3 (a^2 - b^2 - c^2) (a^4 b^2 - 2 a^2 b^4 + b^6 + a^4 c^2 + 2 a^2 b^2 c^2 - b^4 c^2 - 2 a^2 c^4 - b^2 c^4 + c^6)) |
| 2316 | weak | (a^2 ( a + b - 2 c) (a - b - c) (a - 2 b + c)) |
| 2317 | weak | (a^2 (2 a^3 - a^2 b - 2 a b^2 + b^3 - a^2 c + 2 a b c - b^2 c - 2 a c^2 - b c^2 + c^3)) |
| 2318 | weak | (a^2 (a - b - c) (b + c) (a^2 - b^2 - c^2)) |
| 2319 | weak | (a (a - b - c) (a b - a c - b c) ((-a) b + a c - b c)) |
| 2320 | weak | (a (a - b - c) (2 a + 2 b - c) (2 a - b + 2 c)) |
| 2321 | weak | ((a - b - c) (b + c)) |
| 2322 | weak | ((a + b) (a - b - c)^2 (a + c) (a^2 + b^2 - c^2) ( a^2 - b^2 + c^2)) |
| 2323 | weak | (a^2 (a - b - c) (a^2 - b^2 + b c - c^2)) |
| 2324 | weak | (a (a - b - c) ( a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 2325 | weak | ((a - b - c) (2 a - b - c)) |
| 2326 | weak | (a (a + b)^2 ( a - b - c)^2 (a + c)^2 (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2327 | weak | (a^2 (a + b) ( a - b - c)^2 (a + c) (a^2 - b^2 - c^2)) |
| 2328 | weak | (a^2 (a + b) ( a - b - c)^2 (a + c)) |
| 2329 | weak | (a (a - b - c) (a^2 + b c)) |
| 2330 | weak | (a^2 (a - b - c) (a^2 + b c)) |
| 2331 | weak | (a (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 2332 | weak | (a^2 (a + b) ( a - b - c)^2 (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2333 | weak | (a^2 (b + c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2334 | weak | (a^2 (a + 3 b + c) (a + b + 3 c)) |
| 2335 | weak | (a (a - b - c) (a^2 b - b^3 + 2 a^2 c + 2 a b c + 2 a c^2 + b c^2) (2 a^2 b + 2 a b^2 + a^2 c + 2 a b c + b^2 c - c^3)) |
| 2336 | weak | (a^2 (a^3 + a^2 b + 3 a b^2 + 3 b^3 - a^2 c + 2 a b c + 3 b^2 c - a c^2 + b c^2 + c^3) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c + |
| 2337 | weak | (a^2 (a - b - c) (a^4 - 2 a^2 b^2 + b^4 - 2 a b^2 c - 2 a^2 c^2 - 2 b^2 c^2 + c^4) ( a^4 - 2 a^2 b^2 + b^4 - 2 a^2 c^2 - 2 a b c^2 - 2 b^2 c^2 |
| 2338 | weak | (a^2 (a - b - c) ( a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 2339 | weak | (a (a - b - c) (a^2 + 2 a b + b^2 + c^2) (a^2 + b^2 + 2 a c + c^2)) |
| 2340 | weak | (a^2 (a - b - c) (a b - b^2 + a c - c^2)) |
| 2341 | weak | (a (a + b) (a - b - c) (a + c) (a^2 - a b + b^2 - c^2) (a^2 - b^2 - a c + c^2)) |
| 2342 | weak | (a^2 (a - b - c) (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 2343 | weak | (a^2 (a - b - c) (a^4 - 2 a^2 b^2 + b^4 - 2 a^3 c + 2 a^2 b c + 2 a b^2 c - 2 b^3 c + 4 a b c^2 + 2 a c^3 + 2 b c^3 - c^4) (a^4 - 2 a^3 b + 2 a |
| 2344 | weak | (a (a^2 + a b + b^2) (a - b - c) (a^2 + a c + c^2)) |
| 2345 | weak | (a^2 + b^2 + 2 b c + c^2) |
| 2346 | weak | (a (a^2 - 2 a b + b^2 - a c - b c) (a^2 - a b - 2 a c - b c + c^2)) |
| 2347 | weak | (a^2 (a - b - c) (a b + b^2 + a c - 2 b c + c^2)) |
| 2348 | weak | (a (a - b - c) (2 a^2 - a b + b^2 - a c - 2 b c + c^2)) |
| 2349 | weak | (a (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) ( a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4)) |
| 2350 | weak | (a^2 (a b - b^2 + a c + b c) (a b + a c + b c - c^2)) 6 |
| 2354 | weak | (a^2 ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a b + b^2 + a c + c^2)) |
| 2355 | weak | (a (2 a + b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2356 | weak | (a^2 (a^2 + b^2 - c^2) (a b - b^2 + a c - c^2) (a^2 - b^2 + c^2)) |
| 2357 | weak | (a^2 (b + c) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) (a^3 + a^2 b - a b^2 - b^3 - a^2 c + 2 a b c - b^2 c - a |
| 2358 | weak | (a (a + b - c) (a - b + c) (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^3 - a^2 b - a b^2 + b^3 + a^2 c + 2 a b c + b^2 c - a c^2 - b c^2 - c^3) |
| 2359 | weak | (a^2 ( a^2 + b^2 + a c + b c) (a^2 - b^2 - c^2) (a^2 + a b + b c + c^2)) |
| 2360 | weak | (a^2 (a + b) ( a + c) (a^3 + a^2 b - a b^2 - b^3 + a^2 c - 2 a b c + b^2 c - a c^2 + b c^2 - c^3)) |
| 2361 | weak | (a^3 (a - b - c) (a^2 - b^2 + b c - c^2)) |
| 2363 | weak | (a (a + b) (a + c) (a^2 + b^2 + a c + b c) (a^2 + a b + b c + c^2)) |
| 2364 | weak | (a^2 (a - b - c) (2 a + 2 b - c) (2 a - b + 2 c)) |
| 2365 | weak | (a^2 (a^6 - 2 a^5 b - a^4 b^2 + 4 a^3 b^3 - a^2 b^4 - 2 a b^5 + b^6 + a^5 c + a^4 b c - 2 a^3 b^2 c - 2 a^2 b^3 c + a b^4 c + b^5 c - 2 a^3 |
| 2368 | weak | ((a + b) (a + c) (a^3 b + a b^3 + a^3 c - a^2 b c - a b^2 c + b^3 c - a^2 c^2 - b^2 c^2) (a^3 b - a^2 b^2 + a^3 c - a^2 b c - a b c^2 - b^2 c^2 |
| 2369 | weak | (( a + b - c) (a - b + c) (a^4 - a^3 b - a b^3 + b^4 - 2 a^3 c + a^2 b c + a b^2 c - 2 b^3 c + a^2 c^2 + b^2 c^2) (a^4 - 2 a^3 b + a^2 b^2 - a^ |
| 2370 | weak | ((a^5 - 2 a^4 b + a^3 b^2 + a^2 b^3 - 2 a b^4 + b^5 + a^4 c - 2 a^2 b^2 c + b^4 c - a^3 c^2 + 2 a^2 b c^2 + 2 a b^2 c^2 - b^3 c^2 - a^2 c^ |
| 2371 | weak | (a^2 (a^4 - 4 a^3 b + 6 a^2 b^2 - 4 a b^3 + b^4 + 3 a^3 c - 3 a^2 b c - 3 a b^2 c + 3 b^3 c - 3 a^2 c^2 + 6 a b c^2 - 3 b^2 c^2 + a c^3 + b c^ |
| 2372 | weak | ((a^5 + b^5 + a^4 c + b^4 c - a^3 c^2 - b^3 c^2 - a^2 c^3 - b^2 c^3) (a^5 + a^4 b - a^3 b^2 - a^2 b^3 - b^3 c^2 - b^2 c^3 + b c^4 + c^5)) |
| 2375 | weak | (a^2 ((-a) b^3 + a^3 c + a^2 b c - 2 a b^2 c - b^3 c + a b c^2 + a c^3) (a^3 b + a b^3 + a^2 b c + a b^2 c - 2 a b c^2 - a c^3 - b c^3)) |
| 2376 | weak | (a (a + b - c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^5 - a^4 b - a b^4 + b^5 - 2 a^4 c + 4 a^2 b^2 c - 2 b^4 c + 2 a^2 c^3 - 2 a b |
| 2377 | weak | (a (a + b - c)^2 (a - b + c)^2 (a^4 - 2 a^3 b + 2 a^2 b^2 - 2 a b^3 + b^4 - 3 a^3 c + 3 a^2 b c + 3 a b^2 c - 3 b^3 c + 3 a^2 c^2 - 4 a b c^2 + |
| 2382 | weak | (a^2 ((-2) a^2 b + a b^2 + a^2 c + b^2 c + a c^2 - 2 b c^2) (a^2 b + a b^2 - 2 a^2 c - 2 b^2 c + a c^2 + b c^2)) |
| 2384 | weak | (a^2 (a^2 - 4 a b + b^2 + 2 a c + 2 b c - 2 c^2) (a^2 + 2 a b - 2 b^2 - 4 a c + 2 b c + c^2)) |
| 2385 | weak | (2 a^6 - a^5 b - a^4 b^2 + 2 a^3 b^3 - a b^5 - b^6 - a^5 c + 2 a^4 b c - 2 a^3 b^2 c - a b^4 c + 2 b^5 c - a^4 c^2 - 2 a^3 b c^2 + 2 a b^3 c^ |
| 2388 | weak | (a^2 (b + c) (a^2 b^2 - a b^3 + a b^2 c - b^3 c + a^2 c^2 + a b c^2 - a c^3 - b c^3)) |
| 2389 | weak | (a^2 (a - b - c) ( a^2 b^2 - 2 a b^3 + b^4 + a b^2 c - b^3 c + a^2 c^2 + a b c^2 - 2 a c^3 - b c^3 + c^4)) |
| 2390 | weak | (a^2 (a^3 b^2 + a^2 b^3 - a b^4 - b^5 - 2 a^2 b^2 c + 2 b^4 c + a^3 c^2 - 2 a^2 b c^2 + 2 a b^2 c^2 - b^3 c^2 + a^2 c^3 - b^2 c^3 - a c^4 |
| 2391 | weak | (2 a^4 - a^3 b + 3 a^2 b^2 - 3 a b^3 - b^4 - a^3 c - 6 a^2 b c + 3 a b^2 c + 4 b^3 c + 3 a^2 c^2 + 3 a b c^2 - 6 b^2 c^2 - 3 a c^3 + 4 b c^3 - |
| 2392 | weak | (a^2 (a^3 b^2 + a^2 b^3 - a b^4 - b^5 + a^3 c^2 + a^2 c^3 - a c^4 - c^5)) |
| 2394 | weak | ((b - c) (b + c) ( a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4)) |
| 2395 | weak | ((b - c) (b + c) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 2396 | weak | ((a - b) ( a + b) ((-a) + c) (a + c) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 2397 | weak | ((a - b) ((-a) + c) (a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 2398 | weak | ((a - b) ((-a) + c) (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)) |
| 2399 | weak | ((a - b - c) (b - c) ( a^4 - 2 a^2 b^2 + b^4 - a^3 c + a^2 b c + a b^2 c - b^3 c + a^2 c^2 - 2 a b c^2 + b^2 c^2 + a c^3 + b c^3 - 2 c^4) (a^4 - |
| 2400 | weak | ((b - c) (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 2401 | weak | ((b - c) (a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 2402 | weak | ((b - c) (a^2 + b^2 - a c - b c) (a^2 - 2 a b + b^2 - 2 a c + c^2) (a^2 - a b - b c + c^2)) |
| 2403 | weak | ((a + b - 2 c) (3 a - b - c) (b - c) (a - 2 b + c)) |
| 2404 | weak | ((a - b) ( a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2)^2 (a^2 - b^2 + c^2)^2 (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 c^2 + 4 a^4 b^2 c^ |
| 2405 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^5 b - a^4 b^2 - 2 a^3 b^3 + 2 a^2 b^4 + a b^5 - b^6 + a^5 c + |
| 2406 | weak | ((a - b) (a + b - c) ((-a) + c) (a - b + c) ( 2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c^2 + |
| 2407 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2408 | weak | ((b - c) (b + c) ( a^2 + b^2 - 2 c^2) (a^2 - 2 b^2 + c^2) ((-5) a^2 + b^2 + c^2)) |
| 2409 | weak | ((a - b) (a + b) ((-a) + c) (a + c) ( a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 2410 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2) (a^6 b^2 - 3 a |
| 2411 | weak | ((b - c) (b + c) ((- a^2) + b^2 - b c + c^2) ((-a^2) + b^2 + b c + c^2) (a^8 + a^6 b^2 - 4 a^4 b^4 + a^2 b^6 + b^8 - 3 a^6 c^2 + 2 a^4 b^2 c^ |
| 2412 | weak | ((b - c) (a^3 + b^3 - a^2 c - b^2 c) (a^3 - a^2 b - b c^2 + c^3) (a^3 b - a^2 b^2 - a b^3 + b^4 + a^3 c - a^2 b c - a b^2 c + b^3 c - a^2 c^2 - |
| 2413 | weak | ((b - c) (b + c) (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^ |
| 2414 | weak | ((a - b) ((-a) + c) (a b - b^2 + a c - c^2) (a^2 - 2 a b + b^2 - 2 b c + c^2) (a^2 + b^2 - 2 a c - 2 b c + c^2)) |
| 2415 | weak | ((a - b) (a + b - 3 c) (2 a - b - c) ((-a) + c) (a - 3 b + c)) |
| 2416 | weak | ((b - c) (b + c) ((- a^2) + b^2 + c^2)^2 (a^8 + 2 a^6 b^2 - 6 a^4 b^4 + 2 a^2 b^6 + b^8 - 3 a^6 c^2 + 3 a^4 b^2 c^2 + 3 a^2 b^4 c^2 - 3 b^ |
| 2417 | weak | ((a - b - c) (b - c) (a^2 - b^2 - c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - a^5 c + 3 a^4 b c - 2 a^3 b^2 c - 2 a^2 b^3 c + 3 a b^4 c - b^5 c - 2 a^4 |
| 2418 | weak | ((a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - 5 c^2) (2 a^2 - b^2 - c^2) ( a^2 - 5 b^2 + c^2)) |
| 2419 | weak | ((b - c) (b + c) ((-a^2) + b^2 + c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 + a^2 c^4 + b^2 c^4 - 2 c^6) (a^6 + a^2 b^4 - 2 b6 - a^4 c^2 + b^4 c^2 |
| 2420 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2421 | weak | (a^2 (a - b) ( a + b) ((-a) + c) (a + c) (a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 2422 | weak | (a^2 (b - c) (b + c) (a^4 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - b^2 c^2 + c^4)) |
| 2423 | weak | (a^2 (b - c) ( a^3 - a^2 b - a b^2 + b^3 + 2 a b c - a c^2 - b c^2) (a^3 - a b^2 - a^2 c + 2 a b c - b^2 c - a c^2 + c^3)) |
| 2424 | weak | (a^2 (b - c) (a^3 - a^2 b - a b^2 + b^3 + a c^2 + b c^2 - 2 c^3) (a^3 + a b^2 - 2 b^3 - a^2 c + b^2 c - a c^2 + c^3)) |
| 2425 | weak | (a^2 (a - b) ( a + b - c) ((-a) + c) (a - b + c) (2 a^4 - a^3 b - a^2 b^2 + a b^3 - b^4 - a^3 c + 2 a^2 b c - a b^2 c - a^2 c^2 - a b c^2 + 2 b^2 c |
| 2426 | weak | (a^2 ( a - b) ((-a) + c) (2 a^3 - a^2 b - b^3 - a^2 c + b^2 c + b c^2 - c^3)) |
| 2427 | weak | (a^2 ( a - b) ((-a) + c) ( a^2 b - b^3 + a^2 c - 2 a b c + b^2 c + b c^2 - c^3)) |
| 2428 | weak | (a^2 (a - b) ((-a) + c) (a b - b^2 + a c - c^2) (a^2 - 2 a b + b^2 - 2 b c + c^2) (a^2 + b^2 - 2 a c - 2 b c + c^2)) |
| 2429 | weak | (a^2 (a - b) (a + b - 3 c) (2 a - b - c) ((-a) + c) (a - 3 b + c)) |
| 2430 | weak | (a^2 (b - c) (b + c) ( a^2 - b^2 - c^2)^2 (a^8 + 2 a^6 b^2 - 6 a^4 b^4 + 2 a^2 b^6 + b^8 - 3 a^6 c^2 + 3 a^4 b^2 c^2 + 3 a^2 b^4 c^2 - 3 b |
| 2431 | weak | (a^2 (a - b - c) (b - c) (a^2 - b^2 - c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 - a^5 c + 3 a^4 b c - 2 a^3 b^2 c - 2 a^2 b^3 c + 3 a b^4 c - b^5 c - 2 |
| 2432 | weak | (a^2 ( a - b - c) (b - c) (a^4 - 2 a^2 b^2 + b^4 - a^3 c + a^2 b c + a b^2 c - b3 c + a^2 c^2 - 2 a b c^2 + b^2 c^2 + a c^3 + b c^3 - 2 c^4) (a^4 |
| 2433 | weak | (a^2 (b - c) (b + c) (a^4 - 2 a^2 b^2 + b^4 + a^2 c^2 + b^2 c^2 - 2 c^4) (a^4 + a^2 b^2 - 2 b^4 - 2 a^2 c^2 + b^2 c^2 + c^4)) |
| 2434 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - 5 c^2) (2 a^2 - b^2 - c^2) (a^2 - 5 b^2 + c^2)) |
| 2435 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^6 - a^4 b^2 - a^2 b^4 + b^6 + a^2 c^4 + b^2 c^4 - 2 c^6) (a^6 + a^2 b^4 - 2 b^6 - a^4 c^2 + b^4 c |
| 2436 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^8 + a^6 b^2 - 4 a^4 b^4 + a^2 b^6 + b^8 - 3 a^6 c^2 + 2 a^4 b^2 c^2 + |
| 2437 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 - a b + b^2 - c^2) (a^2 + a b + b^2 - c^2) (a^2 - b^2 - a c + c^2) (a^2 - b^2 + a c + c^2) (a^6 b^2 |
| 2438 | weak | (a^2 (a - b) ((-a) + c) (a b^2 - b^3 + a c^2 - c^3) (a^4 + a^3 b - 2 a^2 b^2 + a b^3 + b^4 - a^3 c - a^2 b c - a b^2 c - b^3 c - a^2 c^2 - a b c |
| 2439 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 - a^2 b^ |
| 2440 | weak | (a^2 (b - c) (a^2 + b^2 - a c - b c) (a^2 - 2 a b + b^2 - 2 a c + c^2) (a^2 - a b - b c + c^2)) |
| 2441 | weak | (a^2 (a + b - 2 c) (3 a - b - c) (b - c) (a - 2 b + c)) |
| 2442 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2)^2 ( a^2 - b^2 + c^2)^2 (a^6 b^2 - 3 a^4 b^4 + 3 a^2 b^6 - b^8 + a^6 c^2 + 4 a^4 b^ |
| 2444 | weak | (a^2 (b - c) (b + c) (a^2 + b^2 - 2 c^2) ( 5 a^2 - b^2 - c^2) (a^2 - 2 b^2 + c^2)) |
| 2445 | weak | (a^2 (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (2 a^6 - a^4 b^2 - b^6 - a^4 c^2 + b^4 c^2 + b^2 c^4 - c^6)) |
| 2451 | weak | (a^2 (b - c) (b + c) (a^4 - a^2 b^2 - a^2 c^2 + 2 b^2 c^2)) |
| 2457 | weak | ((b - c) (b + c) ((-2) a^3 - a^2 b + 2 a b^2 + b^3 - a^2 c - 2 a b c - b^2 c + 2 a c^2 - b c^2 + c^3)) |
| 2473 | weak | (a (b - c) (a^4 - a^3 b - a b^3 + b^4 - a^3 c + 2 a^2 b c - 3 a b^2 c - 2 b^3 c - 3 a b c^2 + 2 b^2 c^2 - a c^3 - 2 b c^3 + c^4)) |
| 2474 | weak | (a^2 (b - c) (b + c) (b^2 + c^2) (a^2 + b^2 - 2 b c + c^2) (a^2 + b^2 + 2 b c + c^2)) 10 |
| 2475 | weak | (a^4 - b^4 + a^2 b c + a b^2 c + a b c^2 + 2 b^2 c^2 - c^4) |
| 2476 | weak | (a^2 b^2 - b^4 + a^2 b c + a b^2 c + a^2 c^2 + a b c^2 + 2 b^2 c^2 - c^4) |
| 2478 | weak | ((a - b - c) (a^3 + a^2 b + a b^2 + b^3 + a^2 c - b^2 c + a c^2 - b c^2 + c^3)) |
| 2481 | weak | (b c (a^2 + b^2 - a c - b c) (a^2 - a b - b c + c^2)) |
| 2483 | weak | (a^2 (b - c) (a^2 + b^2 + b c + c^2)) |
| 2484 | weak | (a^2 (b - c) (a^2 + b^2 + 2 b c + c^2)) |
| 2485 | weak | (a^2 (b - c) (b + c) ( a^4 - b^4 - c^4)) |
| 2486 | weak | ((b - c)^2 (b + c) ((-a^2) + a b + a c + b c)) |
| 2487 | weak | ((b - c) ((-4) a^2 + a b + b^2 + a c - 2 b c + c^2)) |
| 2488 | weak | (a^2 (a - b - c) (b - c) (a b - b^2 + a c + 2 b c - c^2)) |
| 2489 | weak | (a^2 (b - c) (b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2)) |
| 2490 | weak | ((b - c) (4 a^2 - 3 a b + b^2 - 3 a c + 2 b c + c^2)) |
| 2491 | weak | (a^4 (b - c) (b + c) ( a^2 b^2 - b^4 + a^2 c^2 - c^4)) |
| 2492 | weak | (a^2 (b - c) (b + c) (a^4 - b^4 + b^2 c^2 - c^4)) |
| 2494 | weak | (a^2 (b - c) (a^4 b - 2 a^3 b^2 + 2 a^2 b^3 - 2 a b^4 + b^5 + a^4 c - b^4 c - 2 a^3 c^2 + 2 a^2 c^3 - 2 a c^4 - b c^4 + c^5)) |
| 2495 | weak | (a^2 (b - c) (a^4 b - 2 a^3 b^2 + 2 a^2 b^3 - 2 a b^4 + b^5 + a^4 c - b^4 c - 2 a^3 c^2 + 4 a b^2 c^2 + 2 a^2 c^3 - 2 a c^4 - b c^4 + c^5)) |
| 2496 | weak | ((b - c) ((-7) a^3 + 4 a^2 b - 3 a b^2 + 2 b^3 + 4 a^2 c + 2 a b c - 2 b^2 c - 3 a c^2 - 2 b c^2 + 2 c^3)) |
| 2497 | weak | (a^2 ( b - c) (a^4 b^3 - 2 a^3 b^4 + a^2 b^5 + a^4 b^2 c - a^2 b^4 c + a^4 b c^2 - 2 a^3 b^2 c^2 + a^2 b^3 c^2 + b^5 c^2 + a^4 c^3 + a^2 |
| 2498 | weak | (a^2 (b - c) (a^4 b - 2 a^3 b^2 + 2 a^2 b^3 - 2 a b^4 + b^5 + a^4 c - b^4 c - 2 a^3 c^2 + 2 a b^2 c^2 + 2 a^2 c^3 - 2 a c^4 - b c^4 + c^5)) |
| 2499 | weak | (a^2 (b - c) (a^2 b - 2 a b^2 + b^3 + a^2 c - 2 a b c - 3 b^2 c - 2 a c^2 - 3 b c^2 + c^3)) |
| 2500 | weak | (a (b - c) (5 a^3 b + 2 a^2 b^2 - 3 a b^3 + 5 a^3 c - a b^2 c - 4 b^3 c + 2 a^2 c^2 - a b c^2 - 8 b^2 c^2 - 3 a c^3 - 4 b c^3)) |
| 2501 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^4 + 2 a^2 b^2 - 3 b^4 + 2 a^2 c^2 + 6 b^2 c^2 - 3 c^4)) |
| 2503 | weak | (a^2 (b + c) (a^4 - b^4 - 2 a^2 b c + b^3 c + b^2 c^2 + b c^3 - c^4)) |
| 2504 | weak | ((b - c) ((- a^2) + b^2 + c^2) (2 a^3 - a^2 b + b^3 - a^2 c - b^2 c - b c^2 + c^3)) |
| 2505 | weak | ((b - c) ((-2) a^3 + 5 a^2 b - 8 a b^2 + b^3 + 5 a^2 c + 3 b^2 c - 8 a c^2 + 3 b c^2 + c^3)) |
| 2506 | weak | (a^2 (b - c) (b + c) ( a^4 - b^4 - 4 b^2 c^2 - c^4)) |
| 2507 | weak | (a^2 (b - c) (b + c) (a^6 b^2 - a^2 b^6 + a^6 c^2 - a^2 b^4 c^2 - a^2 b^2 c^4 + 2 b^4 c^4 - a^2 c^6)) |
| 2508 | weak | (a^2 (b - c) (b + c) (a^8 - b^8 - a^4 b^2 c^2 + b^6 c^2 + b^2 c^6 - c^8)) |
| 2509 | weak | (a^2 (b - c) ( a^3 - a^2 b + a b^2 - b^3 - a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 - c^3)) |
| 2510 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^4 + b^4 - 3 b^2 c^2 + c^4)) |
| 2511 | weak | (a (b - c) (b + c)^2 (a^4 - a^2 b^2 + 2 a^2 b c - a^2 c^2 - b^2 c^2)) |
| 2512 | weak | (a (b - c) (b + c) (2 a b^2 + a b c + b^2 c + 2 a c^2 + b c^2)) |
| 2513 | weak | (a^2 (b - c) (b + c) (2 a^2 b^4 + 3 a^2 b^2 c^2 + b^4 c^2 + 2 a^2 c^4 + b^2 c^4)) |
| 2514 | weak | (a^2 ( b - c) (b + c) (a^2 b^2 + b^4 + a^2 c^2 + c^4)) |
| 2515 | weak | (a^2 (b - c) (2 a^2 + 2 b^2 + 3 b c + 2 c^2)) |
| 2516 | weak | (a (5 a - 3 b - 3 c) (b - c)) |
| 2517 | weak | (b (b - c) c ( a^2 + b^2 + 2 b c + c^2)) |
| 2518 | weak | (a^2 (b - c) (b + c) ( b^2 + c^2) (2 a^4 + 2 b^4 - 3 b^2 c^2 + 2 c^4)) |
| 2519 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^4 + 2 a^2 b^2 + b^4 + 2 a^2 c^2 - 6 b^2 c^2 + c^4)) |
| 2520 | weak | (a (a - b - c) (b - c) ( a^3 - b^3 + b^2 c + b c^2 - c^3)) |
| 2521 | weak | (a^2 (b - c) (2 a^4 + 2 b^4 + 3 a^2 b c + 3 a b^2 c + 3 b^3 c + 3 a b c^2 + 3 b c^3 + 2 c^4)) |
| 2522 | weak | (a (b - c) (a^2 - b^2 - c^2) (a^2 + b^2 + 2 b c + c^2)) |
| 2523 | weak | (a (b - c) ( a^2 - b^2 - c^2) (a^2 + a b + b^2 + a c + 2 b c + c^2)) |
| 2524 | weak | (a^2 (b - c) (b + c) (a^2 - b^2 - c^2) (a^2 b^2 + a^2 c^2 - b^2 c^2)) |
| 2525 | weak | ((b - c) (b + c) ( b^2 + c^2) ((-a^2) + b^2 + c^2)) |
| 2526 | weak | (a (b - c) (a^2 + 3 b^2 + 2 b c + 3 c^2)) |
| 2527 | weak | ((b - c) (6 a^2 - a b + b^2 - a c + 2 b c + c^2)) |
| 2528 | weak | ((b - c) (b + c) (b^2 + c^2)^2) |
| 2529 | weak | ((b - c) (7 a^2 + a b + 2 b^2 + a c + 4 b c + 2 c^2)) |
| 2530 | weak | (a (b - c) ( b^2 + c^2)) |
| 2531 | weak | (a^4 (b - c) (b + c) (b^2 + c^2)^2) |
| 2532 | weak | (a (b - c) (5 a^3 b + 2 a^2 b^2 - 3 a b^3 + 5 a^3 c - 2 a^2 b c - 3 a b^2 c - 4 b^3 c + 2 a^2 c^2 - 3 a b c^2 - 8 b^2 c^2 - 3 a c^3 - 4 b c^3)) |
| 2533 | weak | ((b - c) (b + c) (a^2 + b c)) |
| 2550 | weak | (a^3 - a^2 b + a b^2 - b^3 - a^2 c + 2 a b c + b^2 c + a c^2 + b c^2 - c^3) |
| 2551 | weak | ((a - b - c) (a^3 + a^2 b + a b^2 + b^3 + a^2 c + 2 a b c - b^2 c + a c^2 - b c^2 + c^3)) |
| 2594 | weak | (a^2 (a + b - c) (a - b + c) (b + c) (a^2 - b^2 - b c - c^2)) |
| 2595 | weak | ((a + b - c) (a - b + c) (a^8 - 2 a^6 b^2 + a^4 b^4 - 2 a^6 b c + 2 a^4 b^3 c + a^2 b^5 c - b^7 c - 2 a^6 c^2 + 3 a^4 b^2 c^2 + a^2 b^4 c^2 - |
| 2596 | weak | ((a - b - c) (a^8 - 2 a^6 b^2 + a^4 b^4 + 2 a^6 b c - 2 a^4 b^3 c - a^2 b^5 c + b^7 c - 2 a^6 c^2 + 3 a^4 b^2 c^2 + a^2 b^4 c^2 - 2 b^6 c^2 - |
| 2597 | weak | (a^2 (a + b - c) (a - b + c) (a^4 b^4 - 2 a^2 b^6 + b^8 + a^7 c - a^5 b^2 c - 2 a^3 b^4 c + 2 a b^6 c - 2 a^6 c^2 + a^4 b^2 c^2 + 3 a^2 b^4 c |
| 2598 | weak | (a^2 (a^8 b^3 - a^7 b^4 - 3 a^6 b^5 + 3 a^5 b^6 + 3 a^4 b^7 - 3 a^3 b^8 - a^2 b^9 + a b^10 + 2 a^9 b c - 2 a^8 b^2 c - 5 a^7 b^3 c + 6 a^ |
| 2599 | weak | (a (a + b - c) (a - b + c) (b + c) ( a^2 - b^2 - b c - c^2) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2601 | weak | (a (a + b - c) (a - b + c) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^8 - 2 a^6 b^2 + a^4 b^4 |
| 2602 | weak | (a (a - b - c) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) ( a^8 - 2 a^6 b^2 + a^4 b^4 + 2 a^6 b |
| 2603 | weak | (a (a + b - c) (a - b + c) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^4 b^4 - 2 a^2 b^6 + b^8 + a^7 c - a^5 b^2 c - 2 a^3 b^4 c + 2 a b^6 |
| 2604 | weak | (a (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) (a^12 b^2 - a^11 b^3 - 4 a^10 b^4 + 4 a^9b^5 + 6 a^8 b^6 - 6 a^7 b^7 - 4 a^6 b^8 + 4 a^5 |
| 2605 | weak | (a^2 (b - c) (a^2 - b^2 - b c - c^2)) |
| 2606 | weak | (a^6 - a^4 b^2 - b^5 c - a^4 c^2 + a^2 b^2 c^2 + 2 b^3 c^3 - b c^5) |
| 2607 | weak | (a^6 - a^4 b^2 + b^5 c - a^4 c^2 + a^2 b^2 c^2 - 2 b^3 c^3 + b c^5) 6 |
| 2608 | weak | (a^2 ((-a^2) b^4 + b^6 + a^5 c + a^2 b^2 c^2 - b^4 c^2 - 2 a^3 c^3 + a c^5) ( a^5 b - 2 a^3 b^3 + a b^5 + a^2 b^2 c^2 - a^2 c^4 - b^2 c^4 |
| 2609 | weak | (a^2 ((-a^5) b^3 + 2 a^3 b^5 - a b^7 + 2 a^6 b c - 2 a^4 b^3 c + b^6 c^2 - a^5 c^3 - 2 a4 b c^3 + 2 a^2 b^3 c^3 - 2 b^4 c^4 + 2 a^3 c^5 + b |
| 2611 | weak | (a (b - c)^2 (b + c) (a2 - b^2 - b c - c^2)) |
| 2612 | weak | (a (a - b) (a + b) ((-a) + c) (a + c) (a^6 - a^4 b^2 - b^5 c - a^4 c^2 + a^2 b^2 c^2 + 2 b^3 c^3 - b c^5)) |
| 2613 | weak | (a (a - b) (a + b) ((- a) + c) (a + c) (a^6 - a^4 b^2 + b^5 c - a^4 c^2 + a^2 b^2 c^2 - 2 b^3 c^3 + b c^5)) |
| 2614 | weak | (a (b - c) (b + c) ((-a^2) b^4 + b^6 + a^5 c + a^2 b^2 c^2 - b^4 c^2 - 2 a^3 c^3 + a c^5) (a^5 b - 2 a^3 b^3 + a b^5 + a^2 b^2 c^2 - a^2 c^4 |
| 2615 | weak | (a (b - c)^2 (b + c)^2 (a^7 - 2 a^5 b^2 + a^3 b^4 + 2 a^5 b c - a^4 b^2 c - 2 a^3 b^3 c + 2 a^2 b^4 c - b^6 c - 2 a^5 c^2 - a^4 b c^2 + 3 a^3 |
| 2616 | weak | (a (b - c) (b + c) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 2617 | weak | (a (a - b) (a + b) ((-a) + c) (a + c) (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2618 | weak | (b (b - c) c ( b + c) ((-a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4)) |
| 2619 | weak | (b c (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (2 a^8 - 2 a^6 b^2 - a^2 b^6 + b^8 - 2 a^6 c^2 |
| 2620 | weak | (a^3 (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4) (a^6 b^4 - 3 a^4 b^6 + 3 a^2 b^8 - b^10 + a^ |
| 2621 | weak | (b c ((- a^2) b^2 + b^4 - a^2 c^2 - 2 b^2 c^2 + c^4) ( a^10 - 2 a^8 b^2 + a^6 b^4 + a^4 b^6 - 2 a^2 b^8 + b^10 - 3 a^8 c^2 + 3 a^6 b^2 c^ |
| 2622 | weak | (a^2 (a^2 b^2 - b^4 + a^2 c^2 + 2 b^2 c^2 - c^4) ( a^14 b^2 - a^13 b^3 - 5 a^12 b^4 + 5 a^11 b^5 + 10 a^10 b^6 - 10 a^9 b^7 - 10 a^8 b^ |
| 2623 | weak | (a^2 (b - c) (b + c) (a^4 - 2 a^2 b^2 + b^4 - a^2 c^2 - b^2 c^2) (a^4 - a^2 b^2 - 2 a^2 c^2 - b^2 c^2 + c^4)) |
| 2624 | weak | (a^3 (b - c) (b + c) (a^2 - b^2 - b c - c^2) (a^2 - b^2 + b c - c^2)) |
| 2625 | weak | ((a - b) b (a + b) c ((-a) + c) (a + c) (2 a^8 - 2 a^6 b^2 - a^2 b^6 + b^8 - 2 a^6 c^2 + 2 a^4 b^2 c^2 + a^2 b^4 c^2 - 4 b^6 c^2 + a^2 b^2 c^ |
| 2626 | weak | (a^3 (a - b) (a + b) ((-a) + c) (a + c) (a^6 b^4 - 3 a^4 b^6 + 3 a^2 b^8 - b^10 + a^4 b^4 c^2 - 3 a^2 b^6 c^2 + 2 b^8 c^2 + a^6 c^4 + a^4 b |
| 2627 | weak | (b (b - c) c (b + c) (a^10 - 2 a^8 b^2 + a^6 b^4 + a^4 b^6 - 2 a^2 b^8 + b^10 - 3 a^8 c^2 + 3 a^6 b^2 c^2 - 2 a^4 b^4 c^2 + 3 a^2 b^6 c^2 - |
| 2628 | weak | (a^2 (b - c)^2 (b + c) (a^12 b - a^11 b^2 - 4 a^10 b^3 + 4 a^9 b^4 + 6 a^8 b^5 - 6 a^7 b^6 - 4 a^6 b^7 + 4 a^5 b^8 + a^4 b^9 - a^3 b^10 |
| 2629 | weak | (a (a^8 - a^6 b^2 - 2 a^4 b^4 + 3 a^2 b^6 - b^8 - a^6 c^2 + 5 a^4 b^2 c^2 - 3 a^2 b^4 c^2 - b^6 c^2 - 2 a^4 c^4 - 3 a^2 b^2 c^4 + 4 b^4 c |
| 2630 | weak | (a (2 a^9 - a^8 b - 2 a^7 b^2 - a^6 b^3 - 2 a^5 b^4 + 4 a^4 b^5 + 2 a^3 b^6 - a^2 b^7 - b^9 - a^8 c + 3 a^6 b^2 c - 2 a^4 b^4 c - a^2 b^6 c |
| 2631 | weak | (a (b - c) (b + c) (a^2 - b^2 - c^2) (2 a^4 - a^2 b^2 - b^4 - a^2 c^2 + 2 b^2 c^2 - c^4)) |
| 2632 | weak | (a (b - c)^2 ( b + c)^2 (a^2 - b^2 - c^2)^2) |
| 2633 | weak | (a (a - b) (a + b) ((-a) + c) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^8 - a^6 b^2 - 2 a^4 b^4 + 3 a^2 b^6 - b^8 - a^6 c^2 + 5 a^4 b^2 c |
| 2634 | weak | (a (b - c)^2 (b + c) (a^2 - b^2 - c^2) (a^12 - 2 a^11 b + 4 a^9 b^3 - 5 a^8 b^4 + 5 a^6 b^6 - 4 a^5 b^7 + 2 a^3 b^9 - a^2 b^10 - 2 a^11 c + |
| 2635 | weak | (a (a^4 b - a^3 b^2 - a^2 b^3 + a b^4 + a^4 c + a^2 b^2 c - 2 b^4 c - a^3 c^2 + a^2 b c^2 - 2 a b^2 c^2 + 2 b^3 c^2 - a^2 c^3 + 2 b^2 c^3 + |
| 2636 | weak | (a (a^8 b^2 - 2 a^7 b^3 - a^6 b^4 + 4 a^5 b^5 - a^4 b^6 - 2 a^3 b^7 + a^2 b^8 - 3 a^8 b c + 3 a^7 b^2 c + 5 a^6 b^3 c - 5 a^5 b^4 c - a^4 |
| 2637 | weak | (a^2 (a - b - c) (b - c) (a^2 - b^2 - c^2) (a^4 b - a^3 b^2 - a^2 b^3 + a b^4 + a^4 c + a^2 b^2 c - 2 b^4 c - a^3 c^2 + a^2 b c^2 - 2 a b^2 c^2 |
| 2638 | weak | (a^3 (a - b - c)^2 (b - c))^2 (a^2 - b^2 - c^2)^2) |
| 2639 | weak | ((a - b) ( a + b - c) ((-a) + c) (a - b + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) ( a^8 b^2 - 2 a^7 b^3 - a^6 b^4 + 4 a^5 b^5 - a^4 b^6 - 2 a^3 b |
| 2640 | weak | (a (a^4 - a^2 b^2 - b^4 - a^2 c^2 + 3 b^2 c^2 - c^4)) |
| 2641 | weak | (a (2 a^5 - a^4 b - 2 a^3 b^2 + 3 a^2 b^3 - b^5 - a^4 c - a^2 b^2 c + b^4 c - 2 a^3 c^2 - a^2 b c^2 + 2 a b^2 c^2 - b^3 c^2 + 3 a^2 c^3 - b^ |
| 2642 | weak | (a (b - c) (b + c) (2 a^2 - b^2 - c^2)) |
| 2643 | weak | (a (b - c)^2 (b + c)^2) |
| 2644 | weak | (a (a - b) (a + b) ((-a) + c) (a + c) (a^4 - a^2 b^2 - b^4 - a^2 c^2 + 3 b^2 c^2 - c^4)) |
| 2645 | weak | (a (b - c)^2 (b + c) (a^6 + 2 a^5 b - 3 a^4 b^2 - 2 a^3 b^3 + a^2 b^4 + 2 a^5 c - 3 a^4 b c - 2 a^3 b^2 c + 3 a^2 b^3 c - b^5 c - 3 a^4 c^2 - 2 |
| 2646 | weak | (a ( a - b - c) (2 a^2 + a b - b^2 + a c + 2 b c - c^2)) |
| 2647 | weak | (a (a + b - c) (a - b + c) (a^4 - a^3 b + a b^3 - b^4 - a^3 c + a^2 b c + a b^2 c + b^3 c + a b c^2 + 4 b^2 c^2 + a c^3 + b c^3 - c^4)) |
| 2648 | weak | (a (a - b - c) ( a^3 - 2 a b^2 + b^3 + a b c - 2 b^2 c + c^3) (a^3 + b^3 + a b c - 2 a c^2 - 2 b c^2 + c^3)) |
| 2649 | weak | (a (a - b - c) (2 a^5 - a^4 b - 5 a^3 b^2 + 2 a^2 b^3 + 3 a b^4 - b^5 - a^4 c + 4 a^3 b c - 3 a^2 b^2 c - 4 a b^3 c + 2 b^4 c - 5 a^3 c^2 - 3 a^ |
| 2650 | weak | (a (b + c) (2 a^2 + a b - b^2 + a c + 2 b c - c^2)) |
| 2651 | weak | (a (a + b) (a + c) (a^3 - 2 a^2 b + b^3 - 2 a^2 c + a b c + c^3)) |
| 2652 | weak | (a (b + c) (a^3 - 2 a b^2 + b^3 + a b c - 2 b^2 c + c^3) (a^3 + b^3 + a b c - 2 a c^2 - 2 b c^2 + c^3)) |
| 2653 | weak | (a^2 (b + c) (a^3 b + 2 a^2 b^2 - b^4 + a^3 c + 2 a^2 b c + 3 a b^2 c + b^3 c + 2 a^2 c^2 + 3 a b c^2 + 2 b^2 c^2 + b c^3 - c^4)) |
| 2654 | weak | (a (a - b - c) (a^4 b + a^3 b^2 - a^2 b^3 - a b^4 + a^4 c + a^2 b^2 c - 2 b^4 c + a^3 c^2 + a^2 b c^2 + 2 a b^2 c^2 + 2 b^3 c^2 - a^2 c^3 + |
| 2655 | weak | (a (a + b - c) (a - b + c) ( a^7 b^2 - a^6 b^3 - 2 a^5 b^4 + 2 a^4 b^5 + a^3 b^6 - a^2 b^7 + a^7 b c - a^6 b^2 c - a^5 b^3 c + 2 a^4 b^4 c - |
| 2656 | weak | (a (a - b - c) ((-a^7) b^2 - a^6 b^3 + 2 a^5 b^4 + 2 a^4 b^5 - a^3 b^6 - a^2 b^7 - a^7 b c + a^6 b^2 c + a^5 b^3 c - 2 a^4 b^4 c + a^3 b^5 |
| 2657 | weak | (a ( a - b - c) (a^8 b^3 - 3 a^6 b^5 + 3 a^4 b^7 - a^2 b^9 + 2 a^9 b c - 3 a^7 b^3 c - a^5 b^5 c + 3 a^3 b^7 c - a b^9 c - a^4 b^5 c^2 + 2 a^ |
| 2658 | weak | (a^2 (b + c) (a^2 - b^2 - c^2) (a^4 b + a^3 b^2 - a^2 b^3 - a b^4 + a^4 c + a^2 b^2 c - 2 b^4 c + a^3 c^2 + a^2 b c^2 + 2 a b^2 c^2 + 2 b^3 |
| 2659 | weak | ((a + b) (a + c) (a^2 + b^2 - c^2) (a^2 - b^2 + c^2) (a^7 b^2 - a^6 b^3 - 2 a^5 b^4 + 2 a^4 b^5 + a^3 b^6 - a^2 b^7 + a^7 b c - a^6 b^2 c - |
| 2660 | weak | (a^2 (b + c) (a^2 - b^2 - c^2) ((- a^7) b^2 - a^6 b^3 + 2 a^5 b^4 + 2 a^4 b^5 - a3 b^6 - a^2 b^7 - a^7 b c + a^6 b^2 c + a^5 b^3 c - 2 a^4 |
| 2661 | weak | (a^2 (b + c) (a^2 - b^2 - c^2) (a^10 b^4 + a^9 b^5 - 3 a^8 b^6 - 3 a^7 b^7 + 3 a^6 b^8 + 3 a^5 b^9 - a^4 b^10 - a^3 b^11 + 2 a^11 b^2 c |
| 2662 | weak | (a (a + b - c) (a - b + c) (a^8 b^2 - 3 a^6 b^4 + 3 a^4 b^6 - a^2 b^8 + 3 a^8 b c - a^7 b^2 c - 5 a^6 b^3 c + a^5 b^4 c + a^4 b^5 c + a^3 b^ |
| 2663 | weak | (a (a^2 b^2 + 3 a^2 b c + a b^2 c + a^2 c^2 + a b c^2 + b^2 c^2)) |
| 2664 | weak | (a (a^2 b^2 + a^2 b c - a b^2 c + a^2 c^2 - a b c^2 - b^2 c^2)) |
| 2665 | weak | (a (a^2 b^2 + a^2 b c + a b^2 c - a^2 c^2 - a b c^2 - b^2 c^2) ((-a^2) b^2 + a^2 b c - a b^2 c + a^2 c^2 + a b c^2 - b^2 c^2)) |
| 2666 | weak | (a^2 (b + c) (a^3 b^2 + 5 a^2 b^2 c + 2 a b^3 c + a^3 c^2 + 5 a^2 b c^2 + 6 a b^2 c^2 + b^3 c^2 + 2 a b c^3 + b^2 c^3)) |
| 2667 | weak | (a^2 (b + c) (a b + a c + 2 b c)) |
| 2668 | weak | ((a + b) (a + c) (a^2 b^2 + 3 a^2 b c + a b^2 c + a^2 c^2 + a b c^2 + b^2 c^2)) |
| 2669 | weak | ((a + b) (a + c) (a^2 b^2 + a^2 b c - a b^2 c + a^2 c^2 - a b c^2 - b^2 c^2)) |
| 2670 | weak | (a^2 (b + c) (a^2 b^3 + 2 a^2 b c + 2 a^2 b^2 c + a b^3 c + 2 a^2 b c^2 + 4 a b^2 c^2 + b^3 c^2 + a^2 c^3 + a b c^3 + b^2 c^3)) |
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