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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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A census of cusped hyperbolic 3-manifolds
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by Patrick J. Callahan, Martin V. Hildebrand and Jeffrey R. Weeks PDF
Math. Comp. 68 (1999), 321-332 Request permission

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: [email protected]
  • Martin V. Hildebrand
  • Affiliation: Department of Mathematics and Statistics, State University of New York, University at Albany, Albany, NY 12222
  • Email: [email protected]
  • Jeffrey R. Weeks
  • Affiliation: 88 State St., Canton, NY 13617
  • Email: [email protected]
  • Received by editor(s): May 26, 1996
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 321-332
  • MSC (1991): Primary 57--04; Secondary 57M50
  • DOI: https://doi.org/10.1090/S0025-5718-99-01036-4
  • MathSciNet review: 1620219