mfcoefs

Function: mfcoefs
Section: modular_forms
C-Name: mfcoefs
Prototype: GLD1,L,
Help: mfcoefs(F,n,{d = 1}): Compute the vector of coefficients
 [a[0],a[d],...,a[nd]] of the modular form F.
Doc: Compute the vector of Fourier coefficients $[a[0],a[d],...,a[nd]]$ of the
 generalized modular form $F$; $d$ must be positive and $d = 1$ by default.
 \bprog
 ? D = mfDelta();
 ? mfcoefs(D,10)
 %2 = [0, 1, -24, 252, -1472, 4830, -6048, -16744, 84480, -113643, -115920]
 ? mfcoefs(D,5,2)
 %3 = [0, -24, -1472, -6048, 84480, -115920]
 ? mfcoef(D,10)
 %4 = -115920
 @eprog\noindent
 This function also applies when $F$ is a modular form space as output by
 \kbd{mfinit}; it then returns the matrix whose columns give the Fourier
 expansions of the elements of \kbd{mfbasis}$(F)$:
 \bprog
 ? mf = mfinit([1,12]);
 ? mfcoefs(mf,5)
 %2 =
 [691/65520     0]

 [        1     1]

 [     2049   -24]

 [   177148   252]

 [  4196353 -1472]

 [ 48828126  4830]
 @eprog