# Man pages for ellipticWeierstrass and Jacobi Elliptic Functions

 amn matrix a on page 637 as.primitive Converts basic periods to a primitive pair ck Coefficients of Laurent expansion of Weierstrass P function congruence Solves mx+by=1 for x and y coqueraux Fast, conceptually simple, iterative scheme for Weierstrass P... divisor Number theoretic functions e16.28.1 Numerical verification of equations 16.28.1 to 16.28.5 e18.10.9 Numerical checks of equations 18.10.9-11, page 650 e1e2e3 Calculate e1, e2, e3 from the invariants elliptic-package Weierstrass and Jacobi Elliptic Functions equianharmonic Special cases of the Weierstrass elliptic function eta Dedekind's eta function farey Farey sequences fpp Fundamental period parallelogram g.fun Calculates the invariants g2 and g3 half.periods Calculates half periods in terms of e J Various modular functions K.fun quarter period K latplot Plots a lattice of periods on the complex plane lattice Lattice of complex numbers limit Limit the magnitude of elements of a vector massage Massages numbers near the real line to be real misc Manipulate real or imaginary components of an object mob Moebius transformations myintegrate Complex integration near.match Are two vectors close to one another? newton_raphson Newton Raphson iteration to find roots of equations nome Nome in terms of m or k p1.tau Does the right thing when calling g2.fun() and g3.fun() parameters Parameters for Weierstrass's P function pari Wrappers for PARI functions P.laurent Laurent series for elliptic and related functions sn Jacobi form of the elliptic functions sqrti Generalized square root theta Jacobi theta functions 1-4 theta1dash Derivatives of theta functions theta1.dash.zero Derivative of theta1 theta.neville Neville's form for the theta functions unimodular Unimodular matrices view Visualization of complex functions WeierstrassP Weierstrass P and related functions
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