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