Re: Question regarding trace map

["LNU, Swati" <S10@email.sc.edu>]

Hello,

Sure, here is my attempt with result. I used this formula to compute trace of f(z).

Tr_{N/p}^{N}(f) = f + p^{1-k/2} f | W_{N}^{p} | U_{p} and det(W_{N}^{p}) = 2

For p = 2, we have, Tr_{3}^{6}(f) = f + (2)^{-1}  \sum_{j = 0}^{j = 1} f | [4, 1; 6, 2] | [1, j ; 0, 2] 

Here is the code:

............................................................................................................................................

mf = mffrometaquo([1,2;2,2;3,2;6,2]);

mf1 = mfinit(mf);

a = mfcoefs(mf, 100);

b = (1/2) * (mfslashexpansion(mf1, mf, [4,2;6,4],100,0));

c = (1/2) * (mfslashexpansion(mf1, mf, [4,6;6,10],100,0));

d = a + b + c

Output:

[0,1,-5/2,-3,5,6,15/2,-16,-10,9,-15,38,40,....]

Expected Output: 

[0,0,...]

I am very sorry for proving incomplete info earlier.

Swati

"The pursuit of science is at its best when it is a part of a way of life" - Alladi Ramakrishnan.

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From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Sent: Tuesday, September 10, 2024 3:56 AM
To: pari-users@pari.math.u-bordeaux.fr <pari-users@pari.math.u-bordeaux.fr>
Subject: Re: Question regarding trace map

 

On Mon, Sep 09, 2024 at 11:00:48PM +0000, LNU, Swati wrote:
Please write the
> Hello,
> It gives me error on adding the vectors directly. It gives me some non zero
> output whereas since it’s a new form the result should be zero. I am not sure
> what is going wrong.

Please copy paste what you actually tried (with result), so we can help you.

Cheers,
Bill.