This is doable but takes a bit of time:
sage: %time u = CBF(0.5+40000000000000000000*I).zeta()
CPU times: user 30min 49s, sys: 113 ms, total: 30min 49s
Wall time: 30min 51s
sage: u
[1.572198667701050 +/- 7.12e-16] + [1.946758000953464 +/- 5.17e-16]*I
Asked: 2019-12-14 20:30:01 +0100
Seen: 372 times
Last updated: Mar 29 '21
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How did you try it, and in what way did it not "work out"?
I tried to calculate it on Sage Cell Server. I wrote zeta(0.5+40000000000000000000*I) and clicked evaluate, then it said there is overflow.
It seems PARI simply can't handle such a large number. Does anyone have any other ideas?