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: 6 Missing minimal discriminants: 25
| Not yet proven minimal discriminants of degree 23 | ||||||||||||||
| G | Name | |G| | 1 | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 23T2 | D(23)=23:2 | 46 | 831662438616413... 31 digits | - | - | - | - | - | - | - | - | - | - | 126070897538964... 49 digits |
| 23T3 | F(23)=23:11 | 253 | - | - | - | - | - | - | - | - | - | - | - | 834461548048635... 53 digits |
| 23T4 | AGL(1,23) | 506 | 875790304536340... 38 digits | - | - | - | - | - | - | - | - | - | - | 173172359041982... 48 digits |
| 23T5 | M(23) | 10200960 | - | - | - |  | - | - | - | - | - | - | - | |
| 23T6 | A(23) | 12926008369442488320000 | - | 823293390770989... 74 digits | - | 909503453147363... 124 digits | - | 152190882259925... 128 digits | - | 831405809788803... 155 digits | - | 581154072741253... 149 digits | - | 574724716245613... 292 digits |
| 23T7 | S(23) | 25852016738884976640000 | 100388389417020... 36 digits | 121530724647615... 34 digits | 137708295137395... 37 digits | 484222003901222... 34 digits | 955459821777145... 40 digits | 110596454602008... 43 digits | 425103981715298... 42 digits | 902406108439659... 40 digits | 696771975062209... 42 digits | 211623071132542... 44 digits | 123493350316003... 72 digits | 279003396491364... 77 digits |
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