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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A census of cusped hyperbolic 3-manifolds


Authors: Patrick J. Callahan, Martin V. Hildebrand and Jeffrey R. Weeks
Journal: Math. Comp. 68 (1999), 321-332
MSC (1991): Primary 57--04; Secondary 57M50
Supplement: Additional information related to this article.
MathSciNet review: 1620219
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Abstract | References | Similar Articles | Additional Information

Abstract: The census provides a basic collection of noncompact hyperbolic 3-manifolds of finite volume. It contains descriptions of all hyperbolic 3-manifolds obtained by gluing the faces of at most seven ideal tetrahedra. Additionally, various geometric and topological invariants are calculated for these manifolds. The findings are summarized and a listing of all manifolds appears in the microfiche supplement.


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Additional Information

Patrick J. Callahan
Affiliation: Department of Mathematics, University of Texas at Austin, Austin, TX 78712
Email: callahan@math.utexas.edu

Martin V. Hildebrand
Affiliation: Department of Mathematics and Statistics, State University of New York, University at Albany, Albany, NY 12222
Email: martinhi@math.albany.edu

Jeffrey R. Weeks
Affiliation: 88 State St., Canton, NY 13617
Email: weeks@geom.umn.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01036-4
PII: S 0025-5718(99)01036-4
Received by editor(s): May 26, 1996
Article copyright: © Copyright 1999 American Mathematical Society