A Database for Number Fields - Created by Jürgen Klüners & Gunter Malle
Missing minimal discriminants
This is a list of groups with unproven minimal discriminant for at least one signature.
Number of groups: 8 Missing minimal discriminants: 28
| Not yet proven minimal discriminants of degree 17 | |||||||||||
| G | Name | |G| | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 17T3 | F_68(17)=17:4 | 68 | 124890250818288... 24 digits | - | - | - | - | - | - | - | 199484362330549... 36 digits |
| 17T4 | F_136(17)=17:8 | 136 | 922678970900163... 26 digits | - | - | - | - | - | - | - | 157422770426002... 65 digits |
| 17T5 | F_272(17)=17:16 | 272 | 239072435685151... 24 digits | - | - | - | - | - | - | - | 312533024044654... 33 digits |
| 17T6 | L(17)=PSL(2,16) | 4080 | 133249137678121... 27 digits | - | - | - | - | - | - | - |  |
| 17T7 | L(17):2=| 8160 | 894620217503348... | 26 digits - | 176319369216000... | 32 digits - | - | - | - | - | | |
| 17T8 | L(17):4=PYL(2,16) | 16320 | 544810062656250... 30 digits | - | 694500426597376... 33 digits | - | - | - | - | - | |
| 17T9 | A17 | 177843714048000 | 162136324858910... 41 digits | - | 878834858949781... 32 digits | - | 377407230309415... 86 digits | - | 109717624350195... 108 digits | - | 478555779718537... 147 digits |
| 17T10 | S17 | 355687428096000 | 133094720815439153 | 1586349738982991023 | 3621113810274499901 | 559984114089585... 30 digits | 736793184760013... 28 digits | 463699722897836... 28 digits | 223267350682293... 28 digits | 266131141058195... 28 digits | 234976009165355... 34 digits |
6 | 1,13 ms