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2022-03-31 08:01:20 +0200 commented answer Plotting Zero-free regions

You can play around with aspect_ratio. I have updated the answer accordingly. If it solves the original question, you c

2022-03-31 07:59:46 +0200 commented answer Plotting Zero-free regions

You can play around with aspect_ratio. I have updated the answer accordingly.

2022-03-31 07:58:24 +0200 edited answer Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, 0, 1), (t, -100, 100),

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2022-03-29 11:13:38 +0200 edited answer Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, 0, 1), (t, -2, 2)) w

2022-03-29 11:12:52 +0200 edited answer Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, 0, 1), (t, -2, 2)) w

2022-03-29 11:12:21 +0200 edited answer Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, 0, 1), (t, -2, 2)) w

2022-03-29 11:08:28 +0200 edited answer Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, -1, 1), (t, -2, 2))

2022-03-29 11:07:13 +0200 edited answer Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, -1, 1), (t, -2, 2),asp

2022-03-29 11:06:49 +0200 answered a question Plotting Zero-free regions

Maybe something like var('sigma,t') c=0.3 region_plot((1-sigma)-c/log(2+abs(t))<= 0, (sigma, -1, 1), (t, -2, 2),asp

2022-03-27 13:15:24 +0200 commented answer Fix a number field embedding for a newform for $\Gamma_0(N)$

Done!. Thanks again!

2022-03-27 13:14:53 +0200 marked best answer Fix a number field embedding for a newform for $\Gamma_0(N)$

I am trying to do some numerics with newforms for $\Gamma_0(N)$. E.g

sage: g=CuspForms(group=Gamma0(2),weight=26).newforms(names='a')[0].q_expansion(prec=10).truncate()
sage: g(exp(-10.))

gives me (an approximation) of the chosen newform at $10i/2\pi\in \mathbb H$. The chosen newform has coefficients in $\mathbb Q$

If instead I choose another newform

sage: g=CuspForms(group=Gamma0(2),weight=26).newforms(names='a')[1].q_expansion(prec=10).truncate()here

which has coefficients in the number field with defining polynomial $x^2 - 767888x - 9686519804864$ the command

sage:g(exp(-10.))

gives me an error which I interpret as Sage not knowing where to compute or that I have not fixed an embedding of the number field.

How do I fix an embedding and compute g(exp(-10.))?

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2022-03-27 13:14:40 +0200 edited question Fix a number field embedding for a newform for $\Gamma_0(N)$

Fix a number field embedding for a newform for $\Gamma_0(N)$ I am trying to do some numerics with newforms for $\Gamma_0

2022-03-27 12:28:25 +0200 commented answer Fix a number field embedding for a newform for $\Gamma_0(N)$

That is exactly what I was hoping for. Great answer!

2022-03-27 09:15:42 +0200 edited question Fix a number field embedding for a newform for $\Gamma_0(N)$

Fix a number field embedding for a newform for $\Gamma_0(N)$ I am trying to do some numerics with newforms for $\Gamma_0

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2022-03-27 09:14:49 +0200 edited question Fix a number field embedding for a newform for $\Gamma_0(N)$

Fix a number field embedding for a newform for $\Gamma_0(N)$ I am trying to do some numerics with newforms for $\Gamma_0

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2022-03-27 08:43:57 +0200 asked a question Fix a number field embedding for a newform for $\Gamma_0(N)$

Fix an number field embedding for a newforms for Gamma0(N) I am trying to do some numerics with new forms for $\Gamma_0(