Hi,
How about this syntax?
> sage: A = random_matrix(ZZ,3,3)
> sage: TermOrder("weight",matrix=A)
following the Magma syntax for weight ordering. I certainly prefer the
term weight ordering than matrix ordering.
The following is the description of the weight ordering in the Magma
documentation:
Definition (given n weight vectors W1, ... Wn from Q^n): s < t iff
there exists 1 ≤i ≤n such that s.Wj = t.Wj for 1 ≤j < i and s.Wi <
t.Wi. The order is specified by the arguments ("weight", Q) where Q is
a sequence of n^2 non-negative integers or rationals describing the n
weight vectors of length n (in row major order).
Kwankyu
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