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