Supplement to Big data comparison of quantum invariants [arXiv; GitHub]. For detection data of the polynomials, see Detection.
(Note: We have high confidence in the data up to 16 crossings. Beyond that point, confidence drops due to the large volume of data (eg. unforeseen errors in the data or calculation).)
Toggle successive quotients plot and data table.
Interactive plot: zoom, pan and toggle your desired invariants!
| n | A2 | Alexander | B1 (R-matrix) | B1 (Skein theory) | Jones (R-matrix) | Jones (Skein theory) | Khovanov |
|---|---|---|---|---|---|---|---|
| 3 | 0.000961 | 0.000548 | 0.04195 | 0.006364 | 0.000952 | 0.001487 | 0.000819 |
| 4 | 0.001044 | 0.000474 | 0.058764 | 0.029009 | 0.001174 | 0.001221 | 0.001009 |
| 5 | 0.001204 | 0.000413 | 0.063757 | 0.027541 | 0.001359 | 0.00094 | 0.001187 |
| 6 | 0.00154 | 0.000371 | 0.073052 | 0.106084 | 0.002156 | 0.002957 | 0.001333 |
| 7 | 0.002078 | 0.000344 | 0.1098 | 0.152202 | 0.002442 | 0.00238 | 0.001458 |
| 8 | 0.006668 | 0.000327 | 0.146327 | 0.382624 | 0.003204 | 0.002418 | 0.001624 |
| 9 | 0.010328 | 0.00034 | 0.434684 | 0.700274 | 0.004329 | 0.003016 | 0.001772 |
| 10 | 0.022115 | 0.000377 | 0.727308 | 2.001462 | 0.005811 | 0.003512 | 0.001989 |
| 11 | 0.035645 | 0.000447 | 41.247445 | 5.64135 | 0.007834 | 0.004208 | 0.00209 |
| 12 | 0.07314 | 0.0008 | 13.954301 | 30.957447 | 0.01032 | 0.007081 | 0.002089 |
| 13 | 0.189876 | 0.001039 | 28.231526 | 94.590263 | 0.012261 | 0.007029 | 0.00225 |
| 14 | 0.393864 | 0.001244 | 113.210082 | 535.15462 | 0.016506 | 0.00986 | 0.002312 |
See also the computation time boxplot.