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