philabuster wrote:

> This ordering makes it extremely difficult to do index association
> from the j-th term of the expansion back into constituent indices of
> each sum (i0,i1,i2,i3);

Well, Sage punts to Maxima (for the moment, anyway) to compute
the expansion. The terms are computed in the order you want, but
displayed in the reverse order by default. I think powerdisp:true
will give the result you expected.

> What was the rationale?

The default ordering displays polynomials in order of decreasing
powers.

> Given j, how would you calculate (i0,i1,i2,i3,...,ik) considering
> Sage's expansion order?

Well, you can get the addends via the args function in Maxima;
e.g. powerdisp:true; foo:expand(whatever); args(foo); => some list.
Likewise you can get the multiplicands of each term from args.
I don't know how to get that through Sage.

FWIW

Robert Dodier
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