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