Karim Belabas on Mon, 29 Sep 2008 23:33:53 +0200 |
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megrez number field tables repackaged |
Dear PARI lovers, I have repackaged the number field tables published by the Bordeaux computational number theory group (H. Cohen and his team) around 1995. http://pari.math.u-bordeaux1.fr/pub/pari/packages/nftables.tgz The original tables are kept for reference at the same address ftp://megrez.math.u-bordeaux.fr/pub/numberfields/ as before (Judging from some index files, old data files corresponding to most quadratic fields have apparently disappeared, and I couldnt't trace them yet. So the data was generated anew.) Compared to the original tables, the new version uses a single (human-readable) file for a given signature, and stores only * the field equation [ from which a bnf can be recomputed ], * the field discriminant & class number, as well as the class group decomposition as a product of cyclic groups (bnf.cyc) [ for quick filtering ]. N.B: Computing bnfinit & polgalois for all fields in the table takes less than 2 hours in current PARI/GP, so there was no need to include that in the tables. As a result, these are considerably smaller (1/10th the size) More details in the README: http://pari.math.u-bordeaux1.fr/pub/pari/packages/nftables/README Please report any problem ! Have fun, K.B. P.S: A few wrong cyclic structures & class numbers (12 fields) have been corrected. -- Karim Belabas, IMB (UMR 5251) Tel: (+33) (0)5 40 00 26 17 Universite Bordeaux 1 Fax: (+33) (0)5 40 00 69 50 351, cours de la Liberation http://www.math.u-bordeaux.fr/~belabas/ F-33405 Talence (France) http://pari.math.u-bordeaux.fr/ [PARI/GP] `