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