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