|Bill Allombert on Mon, 15 Sep 2003 17:44:05 +0200|
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On Sun, Sep 14, 2003 at 04:39:07PM +0200, Karim BELABAS wrote: > On Sun, 14 Sep 2003, Bill Allombert wrote: > > It seems that PARI * and ^ operators allow operation on quadratic > > forms but reduce them. I would personnaly prefer it does not reduce > > them. > > Coefficient explosion would occur for ^. ...only if you plan to reduce the result. Please note that the == operator is not consistent with this policy, nor is ^1. > qfb[comp|pow]raw would be dumped then ? Why ? qfbnucomp/qfbnupow are still available. > > Lastly, is it possible to get the SL2 matrix involved in the equivalence > > between two forms ? (I have written a GP script for that effect, but...) > > Not from the current GP interface. In the real case, you have the distance > component, which is less useful, but remains small. I will implement that, then. This is necessary to solve binary quadratic form equation (probably following Gauss, this is a general Cornacchia like algorithm with probabilistic polynomial running time). Cheers, Bill.