Revision history [back]

I am trying to do some numerics with new forms 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 $10i\in \mathbb H$. The chosen newform has coefficients in $\mathbb Q$

If instead I choose another new form

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(-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(-10.)?

I am trying to do some numerics with new forms 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 $10i\in \mathbb H$. The chosen newform has coefficients in $\mathbb Q$

If instead I choose another new form

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(-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(-10.)?

I am trying to do some numerics with new forms 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\in $10i/2\pi\in \mathbb H$. The chosen newform has coefficients in $\mathbb Q$

If instead I choose another new form

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(-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(-10.)?

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 new formnewform

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(-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(-10.)?

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(-10.)
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(-10.)g(exp(-10.))?