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