I think we also want some version of Denis Simon's indefinite LLL.

As a student of Henri Cohen he may have sworn a lifetime vow of
allegiance to pari;  otherwise this might be something we could use to
lure him into Sage!

John

2008/4/30 William Stein <[EMAIL PROTECTED]>:
>
>  ---------- Forwarded message ----------
>  From: Gabriele Nebe <[EMAIL PROTECTED]>
>  Date: Wed, Apr 30, 2008 at 6:18 AM
>  Subject: Re: Fwd: [sage-devel] A Sage Enhancement Proposal: Lattice Modules
>  To: William Stein <[EMAIL PROTECTED]>
>
>
>  Dear William,
>
>   I am in the moment on a conference in Albania and e-mail is not so easy.
>   Nevertheless:
>   if these people want to implement such things, they should just go ahead and
>   do so. I have no idea how to calculate explicitely isometires of
>  indefinite lattices,
>   but in principle we have a program to calculate the genus symbol of
>  the lattice.
>   And for indefinite ones this suffices to decide whether they are
>  isometric or not.
>   For definite lattices of course lattice reduction procedures (LLL) and
>   shortest vector enumeration are other basic tools.
>
>   Best
>
>   Gabi
>
>
>
>  --
>  William Stein
>  Associate Professor of Mathematics
>  University of Washington
>  http://wstein.org
>
>
>
>  >
>

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