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Mathematica: Modular arithmetic with nonnumber


I have a function which takes in and gives out numbers such as

3e[2] + 3e[4]

In other words, these are integer multiples of basis vectors.  Now, I want
to be able to take any arbitrary vector mod p, for some prime p.  The
problem is that if I do

Mod[11e[6],7]

Mathematica sees 11e[6] as a noninteger and thus doesn't do modular
arithmetic on it.

Is there some way to do this?  One thought I had was to have some function
which strips 11e[6] down to 11 and then does modular arithmetic.  That would
be good enough for me because I'm trying to figure out if all values are 0
or if they are not.  If I end up with a 4 instead of 4e[6], I still know it
isn't 0.  However, I don't know how to do that and if there's a faster way,
that would be useful in my program as it might do lots of calculations.

Any help would be wonderful
Thanks
Geoff Tims




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