Low Precision Calculations of Zeros of Degree 2 and Higher L-Functions

[Luke Holland]

Dear LMFDB,

I am currently doing some calculations involving the zeros of L-functions. So far, I have only been looking at zeros of degree 1 L-functions. I have begun to look at the zeros of degree 2 and higher, but I found that the zeros on the LMFDB are those with -20 < Im(z) < 20, and I was wondering if there was a way to calculate more, even to a relatively low degree of precision, such as a few decimal places.

I don’t currently have access to Magma, as I have just this summer finished my A-levels, and as such I do not have a scholarly email address. Are there any other way to calculate some of these values?

Kindest,
Luke.

[Andrew Sutherland]

I would recommend using Sage, which I think provides as much or more "L-functionality" than Magma does, including interfaces to Mike Rubinstein's lcalc package, and Tim Dokchitser's L-function calculator (which Magma also uses), as well as an interface to Pari/GP.  You can read more here: https://doc.sagemath.org/html/en/reference/lfunctions/sage/lfunctions/lcalc.html