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