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), 2022-03-29 13:17:35 +0200 received badge ● Teacher (source) 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').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').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.))? 2022-03-27 13:14:53 +0200 received badge ● Scholar (source) 2022-03-27 13:14:51 +0200 received badge ● Supporter (source) 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 2022-03-27 09:14:49 +0200 received badge ● Editor (source) 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 $\Gamma_0 2022-03-27 08:52:49 +0200 received badge ● Student (source) 2022-03-27 08:43:57 +0200 asked a question Fix a number field embedding for a newform for$\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(