Various modular functions
Number theoretic functions
Massages numbers near the real line to be real
Neville's form for the theta functions
Numerical verification of equations 16.28.1 to 16.28.5
Calculates the invariants g2 and g3
Parameters for Weierstrass's P function
Does the right thing when calling g2.fun() and g3.fun()
Special cases of the Weierstrass elliptic function
Moebius transformations
Unimodular matrices
quarter period K
Lattice of complex numbers
Jacobi theta functions 1-4
Generalized square root
Calculates half periods in terms of e
Visualization of complex functions
Solves mx+by=1 for x and y
Fundamental period parallelogram
Newton Rapheson iteration to find roots of equations
Fast, conceptually simple, iterative scheme for Weierstrass P
functions
Nome in terms of m or k
Laurent series for elliptic and related functions
Numerical checks of equations 18.10.9-11, page 650
matrix a on page 637
Limit the magnitude of elements of a vector
Complex integration
Dedekind's eta function
Wrappers for PARI functions
Derivatives of theta functions
Derivative of theta1
Converts basic periods to a primitive pair
Are two vectors close to one another?
Calculate e1, e2, e3 from the invariants
Jacobi form of the elliptic functions
Weierstrass P and related functions
Coefficients of Laurent expansion of Weierstrass P function
Farey sequences
Plots a lattice of periods on the complex plane
Manipulate real or imaginary components of an object