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