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