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