# Experimental Mathematics

## Volume 13 (2004)

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### Volume 13, Issue 1

On the Monotone Upper Bound Problem

by Julian Pfeifle and Günter M. Ziegler

Series of Nilpotent Orbits

by J. M. Landsberg, Laurent Manivel, and Bruce W. Westbury

The Space of Clouds in Euclidean Space

by Jean-Claude Hausmann and Eugenio Rodriguez

A Note on Pseudo-Anosov Maps with Small Growth Rate

by Peter Brinkmann

Pasting Together Julia Sets: A Worked Out Example of Mating

by John Milnor

The Waring Loci of Ternary Quartics

by Jaydeep Chipalkatti

On Polynomials of Least Deviation from Zero in Several Variables

by Yuan Xu

Approximate Squaring

by J. C. Lagarias and N. J. A. Sloane

### Volume 13, Issue 2

On the Distribution of Galois Groups, II

by Gunter Malle

Computing Special Values of Motivic *L*-Functions

by Tim Dokchitser

Conjugacy of Subgroups of the General Linear

by Colva M. Roney-Dougal

Computing the Level of a Modular Rigid Calabi-Yau Threefold

by Luis V. Dieulefait

Small Hyperbolic 3-Manifolds With Geodesic Boundary

by Roberto Frigerio, Bruno Martelli, and Carlo Petronio

On the Vanishing of Twisted L-Functions of Elliptic Curves

by Chantal David, Jack Fearnley, and Hershy Kisilevsky

Periodic Geodesics Generator

by Anders Linnér

Numerical Results for the Metropolis Algorithm

by Persi Diaconis and J. W. Neuberger

On a Problem of Steinhaus Concerning Binary Sequences

by Shalom Eliahou and Delphine Hachez

Invariant Nonassociative Algebra Structures on Irreducible Representations of Simple Lie Algebras

by Murray Bremner and Irvin Hentzel

### Volume 13, Issue 3

Explicit Presentations for Exceptional Braid Groups

by David Bessis and Jean Michel

Introducing Regina, The 3-Manifold Topology Software

by Benjamin A. Burton

The Diophantine Equation *xy + yz + zx = n* and Indecomposable Binary Quadratic Forms

by Meinhard Peters

On the Ramanujan AGM Fraction, I: The Real-Parameter Case

by J. Borwein, R. Crandall, and G. Fee

On the Ramanujan AGM Fraction, II: The Complex-Parameter Case

by J. Borwein and R. Crandall

SL3 (F2)-Extensions of Q and Arithmetic Cohomology Modulo 2

by Avner Ash, David Pollack, and Dayna Soares

Thaw: A Tool for Approximating Cut Loci on a Triangulation of a Surface

by Jin-ichi Itoh and Robert Sinclair

Existence of Nonelliptic mod l Galois Representations for Every l > 5

by Luis Dieulefait

On the Height of the Sylvester Resultant

by Carlos D'Andrea and Kevin G. Hare

Congruence Subgroups Associated to the Monster

by Kok Seng Chua and Mong Lung Lang

Congruence Subgroups of Groups Commensurable with PSL (2, Z) of Genus 0 and 1

by C. J. Cummins

Supplementary Tables

### Volume 13, Issue 4

Construction Techniques for Cubical Complexes, Odd Cubical 4-Polytopes, and Prescribed Dual Manifolds

by Alexander Schwartz and Günter M. Ziegler

An Integral Related to the Cauchy Transform on the Sierpinski Gasket

by Xin-Han Dong and Ka-Sing Lau

Primality Tests Using Algebraic Groups

by Masanari Kida

The Residually Weakly Primitive Geometries of *J _{3}*

by Dimitri Leemans

On Minimal Factorisations of Sporadic Groups

by P. E. Holmes

Testing the Logarithmic Comparison Theorem for Free Divisors

by F. J. Castro-Jiménez and J. M. Ucha-Enríquez

On the Number of Perfect Binary Quadratic Forms

by Francesca Aicardi

Supplementary Tables

An Algorithm for Finding the Veech Group of an Origami

by Gabriela Schmithüsen

On the Order of the Mertens Function

by Tadej Kotnik and Jan van de Lune

On the Asymptotic Number of Plane Curves and Alternating Knots

by Gilles Schaeffer and Paul Zinn-Justin

Experimenting with Infinite Groups, I

by Gilbert Baumslag, Sean Cleary, and George Havas

Supplementary Tables

Simultaneous Generation of Koecher and Almkvist-Granville's Apéry-Like Formulae

by T. Rivoal