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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: 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

Martin V. Hildebrand
Affiliation: Department of Mathematics and Statistics, State University of New York, University at Albany, Albany, NY 12222

Jeffrey R. Weeks
Affiliation: 88 State St., Canton, NY 13617

Received by editor(s): May 26, 1996
Article copyright: © Copyright 1999 American Mathematical Society