## Snap

 swMATH ID: 20131 Software Authors: Oliver Goodman Description: Snap for 3-Manifolds. Snap is a computer program for studying arithmetic invariants of hyperbolic 3-manifolds. It is based on Jeff Weeks’ program SnapPea for studying hyperbolic 3-manifolds, and on the number theory package Pari. Snap uses Pari’s high precision arithmetic and number theoretic functions to compute invariant trace fields and related 3-manifold invariants. See the paper, Computing arithmetic invariants of 3-manifolds by Coulson, Goodman, Hodgson and Neumann, Experimental Mathematics Vol.9 (2000) Issue 1 for more about snap, available here in preprint form. See also Neumann and Reid in Topology ’90, Proceedings of the Research Semester in Low Dimensional Topology at Ohio State University. Berlin New York: de Gruyter 1992, for more about invariant trace fields and arithmetic invariants of 3-manifolds in general. The most recent version of snap is available at the project page: http://sourceforge.net/projects/snap-pari. That page also includes the package extra-knots in which you will find releases that add all knots of up to 17 crossings and alternating knots up to 19 crossings to the database of manifolds that snap knows. The original home page for snap, which includes some (older) binaries for miscellaneous hardware as well as some related software is here. The developement of snap has been supported by the Australian Research Council and the US National Science Foundation. Homepage: http://snap-pari.sourceforge.net/ Related Software: SnapPea; SnapPy; Magma; GAP; Orb; PARI/GP; SageMath; hikmot; Boost C++ Libraries; Twister; Veering; Trains; Geo; Haskell; CRAN; CPAN; PERL; qZeil; Knotscape Cited in: 30 Publications
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### Cited by 44 Authors

 5 Dunfield, Nathan M. 5 Hodgson, Craig D. 3 Garoufalidis, Stavros 3 Ham, Ji-Young 3 Heard, Damian 3 Lee, Joongul 3 Neumann, Walter David 2 Calegari, Danny Matthew Cornelius 2 Goodman, Oliver A. 2 Hoffman, Neil R. 2 Petronio, Carlo 2 Segerman, Henry 2 Thurston, William Paul 2 Zickert, Christian K. 1 Agol, Ian 1 Atkinson, Christopher K. 1 Calegari, Frank 1 Coulson, David 1 Futer, David 1 Görner, Matthias 1 Handel Moser, Harriet 1 Ichihara, Kazuhiro 1 Issa, Ahmad 1 Kashiwagi, Masahide 1 Kionke, Steffen 1 Kuhlmann, Sally M. 1 Lackenby, Marc 1 Lan, Yueheng 1 Martelli, Bruno 1 Masai, Hidetoshi 1 Mednykh, Aleksandr Dmitrievich 1 Meyerhoff, Robert 1 Miller, Sally M. 1 Milley, Peter 1 Oishi, Shin’ichi 1 Pervova, Ekaterina 1 Raimbault, Jean 1 Rasskazov, Aleksei 1 Reid, Alan W. 1 Rubinstein, J. Hyam 1 Storm, Peter A. 1 Takayasu, Akitoshi 1 Trnková, Maria 1 Yang, Jun
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### Cited in 15 Serials

 7 Experimental Mathematics 4 Algebraic & Geometric Topology 3 Geometry & Topology 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Transactions of the American Mathematical Society 2 Journal of Topology 1 Letters in Mathematical Physics 1 Inventiones Mathematicae 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 Journal of Knot Theory and its Ramifications 1 Sbornik: Mathematics 1 Documenta Mathematica 1 Journal of Topology and Analysis
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### Cited in 13 Fields

 28 Manifolds and cell complexes (57-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)