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