| Number of moments known | Alpha-unimordality not known | α = 2-unimodality known | ||
| Lower bound | Upper bound | Lower bound | Upper bound | |
| 1 | 148.41 | 11,013.73 | 148.41 | 3523.99 |
| 2 | 414.61 | 4439.31 | 578.41 | 2340.39 |
| 3 | 910.11 | 2864.74 | 1031.42 | 1836.20 |
| 4 | 1216.26 | 1946.50 | 1322.03 | 1649.01 |