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: 27 Missing minimal discriminants: 84
| Not yet proven minimal discriminants of degree 14 | ||||||||||
| G | Name | |G| | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 |
|---|---|---|---|---|---|---|---|---|---|---|
| 14T13 | [1/2.D(7)^2]2 | 196 | 3720502998199975936 | 29027283136151552 | - | - | - | - | - | 320150370246606... 39 digits |
| 14T14 | [7^2:3]2 | 294 | 357469353013301... 20 digits | - | - | - | - | - | - | 483768403507722... 26 digits |
| 14T15 | [7^2:3_3]2 | 294 | 380809993560636... 21 digits | - | - | - | - | - | - | 501851209597014... 29 digits |
| 14T16 | L_7:2(14)=[L(7)_%]2 | 336 | 3332000199986667 | - | - | 3853715312312320000 | - | - | - | 252744004159069... 26 digits |
| 14T20 | [D(7)^2]2=D(7)wr2 | 392 | 56316949686099 | 135226879639552 | - | - | 1823606433479609375 | - | - | 55828534778302611456 |
| 14T22 | [1/6_-.F_42(7)^2]2_2 | 588 | - | 122758069040994... 41 digits | - | - | - | - | - | 244312848891711... 74 digits |
| 14T23 | [1/6_+.F_42(7)^2]2_2 | 588 | - | 951166013805414... 21 digits | - | - | - | - | - | 548328278755146... 28 digits |
| 14T24 | [7^2:6]2 | 588 | 173625106649344... 21 digits | 1857746120713699328 | - | - | - | - | - | 117300914068865... 27 digits |
| 14T25 | [7^2:6_3]2 | 588 | 208436940532537... 25 digits | 362022163289345... 26 digits | - | - | - | - | - | 422668824261931... 30 digits |
| 14T26 | 1/2[1/2.F_42(7)^2]2 | 882 | 110134203616376... 20 digits | - | - | - | - | - | - | 160623577438145... 27 digits |
| 14T30 | L(14)=PSL(2,13) | 1092 | - | 841964290822597... 30 digits | - | - | - | - | - |  |
| 14T31 | [D(7)^2:3_3]2 | 1176 | 680454849969870... 21 digits | 764033574958703... 25 digits | - | - | 123815278235137... 150 digits | - | - | 606795132459038... 45 digits |
| 14T32 | [D(7)^2:3]2 | 1176 | 1533311649935257311 | 169851073893823... 20 digits | - | - | 705246023407827... 20 digits | - | - | 447228227862253... 24 digits |
| 14T36 | 1/2[F_42(7)^2]2 | 1764 | - | 161084777292385... 30 digits | - | - | - | - | - | 224945495244192... 176 digits |
| 14T37 | [1/2.F_42(7)^2]2 | 1764 | 328310097293930283 | 578509309952000... 22 digits | - | - | - | - | - | 103015983072747... 37 digits |
| 14T39 | L(14):2=PGL(2,13) | 2184 | 520335471034496... 25 digits | 221450647536162... 22 digits | - | - | - | - | - | |
| 14T40 | 1/2[2^7]F_42(7) | 2688 | 13145504074635132928 | 292987454704877... 26 digits | - | 332618258898657027817472 | - | 9407349698172376220703125 | - | 1362404388448899185940365312 |
| 14T45 | [F_42(7)^2]2=F_42(7)wr2 | 3528 | 347455511790057216 | 118718067432090... 24 digits | - | - | 210208787329380... 32 digits | - | - | 593926242195775... 38 digits |
| 14T46 | 2[1/2]S(7) | 5040 | 813678645866427 | - | - | 39527110292799488 | - | - | - | 569852085353769... 23 digits |
| 14T52 | [L(7)^2]2=L(7)wr2 | 56448 | 252331132533723 | - | - | 2128441963520000000 | - | 141840145401563... 20 digits | - | 960345497205938... 20 digits |
| 14T54 | 1/2[2^7]S(7) | 322560 | 171023634496127 | 2199460807533824 | 4127259225187571 | 8638829450555873 | 513409374730144775 | 41567945702302105397 | - | 125590351342762... 23 digits |
| 14T58 | [A(7)^2]2=A(7)wr2 | 12700800 | 704826105890283 | - | - | 3375552856068828125 | - | 203605885683812... 30 digits | - | 761729048116916... 31 digits |
| 14T59 | 1/2[S(7)^2]2 | 25401600 | - | 3647631519140625 | - | 927832501650390625 | - | 870486784126410... 20 digits | - | 315904111314541... 25 digits |
| 14T60 | [1/2.S(7)^2]2 | 25401600 | 26855081175040000 | 942823842081012... 20 digits | - | 546536763631953125 | - | 311377150137101... 24 digits | - | 275196231481680... 23 digits |
| 14T61 | [S(7)^2]2=S(7)wr2 | 50803200 | 10039290270147 | 63097400703125 | 297261105546875 | 1309633068828125 | 8642409431171875 | 43448826125703125 | 270561572587421875 | 3665999063824140625 |
| 14T62 | A(14) | 43589145600 | - | 119274553421521 | - | 313399374587641... 21 digits | - | 103318334065426... 210 digits | - | 339449568952351... 117 digits |
| 14T63 | S(14) | 87178291200 | 9877295149283 | 43889576079389 | 200441012838383 | 1025423340537577 | 5815429838049187 | 38839672011173125 | 303185655404764819 | 2658128183676391597 |
6 | 1 ms