Looks like a pari bug to me since their docs suggest that flag=1 and
flag=4 have the same output, just a slightly different algorithm, and
flag =1 does not include the columns of 0s.

John

On 23 January 2012 19:01, Volker Braun <vbraun.n...@gmail.com> wrote:
> For the record, its clear that pari4 does output the unwanted zero rows
> (columns in pari), but is this a bug or documented somewhere in pari?
>
>
> [vbraun@volker-laptop-two keys]$ sage -gp
>
>  GP/PARI CALCULATOR Version 2.5.0 (development svn-13228)
>
>  amd64 running linux (x86-64/GMP-5.0.1 kernel) 64-bit version
>
> compiled: Jan 18 2012, gcc-4.6.2 20111027 (Red Hat 4.6.2-1) (GCC)
>
>       (readline v6.2 enabled, extended help enabled)
>
>
>           Copyright (C) 2000-2011 The PARI Group
>
> PARI/GP is free software, covered by the GNU General Public License, and
> comes WITHOUT ANY WARRANTY WHATSOEVER.
>
> Type ? for help, \q to quit.
> Type ?12 for how to get moral (and possibly technical) support.
>
> parisize = 8000000, primelimit = 500509
> <1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0,
> 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0,
> 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]
> %1 =
> [1 1 -1 -5 0 -1 0 1 1 0]
> [-1 1 0 3 12 2 0 0 2 -2]
> [-1 0 -2 -4 -1 0 -1 6 1 3]
> [-19 0 -1 -3 -2 -7 -2 0 1 1]
> [1 1 1 1 -12 -14 -3 3 -3 -1]
> [1 0 0 0 0 0 0 0 0 0]
> [0 1 0 0 0 0 0 0 0 0]
> [0 0 1 0 0 0 0 0 0 0]
> [0 0 0 1 0 0 0 0 0 0]
> [0 0 0 0 1 0 0 0 0 0]
> [0 0 0 0 0 1 0 0 0 0]
> [0 0 0 0 0 0 1 0 0 0]
> [0 0 0 0 0 0 0 1 0 0]
> [0 0 0 0 0 0 0 0 1 0]
> [0 0 0 0 0 0 0 0 0 1]
>
> ? mathnf(m~,flag=4)[1]
> %2 =
> [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0]
> [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
> [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0]
> [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0]
> [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0]
> [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0]
> [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0]
> [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0]
> [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]
> [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]
>
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