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Exact computation of hyperbolic 3-manifolds and their arithmetic invariants. Written by O. Goodman in an ARC-funded project of Hodgson and Neumann.
http://www.ms.unimelb.edu.au/~snap

A computer program for computational algebraic topology.
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The Kenzo program.  Kenzo program is the last version (16000 Lisp lines, July 1998) of the CAT Constructive Algebraic Topology) computer program. Kenzo is also the name of my cat. The Kenzo program is a joint work with Xavier Dousson. The previous version...
http://www-fourier.ujf-grenoble.fr/~sergerar/Kenzo/

Interactive 3D viewing program for Unix. Free under GPL.
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Geomview  Geomview is an interactive 3D viewing program for Unix. It lets you view and manipulate 3D objects: you use the mouse to rotate, translate, zoom in and out, etc. It can be used as a standalone viewer for static objects...
http://www.geomview.org/

Macintosh freeware which visualizes quasi-conformal deformations of the once-punctured-torus groups. It interactively draws the isometric circles, the Ford region, and the limit set.
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OPTi  Macintosh application program which visualizes quasi-conformal deformations of the once-punctured-torus groups. It interactively draws the isometric circles, the Ford region, the limit set, etc. Click for a large picture What's new Documents available for OPTi 2002.10.30 I have uploaded a...
http://vivaldi.ics.nara-wu.ac.jp/~wada/OPTi/

Four programs, each calculating some invariant from a closed braid presentation. Free to download. Pascal.
http://www.liv.ac.uk/~su14/knotprogs.html

Computes the MD energy of a polygonal knot. Available via ftp.
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README  This program and its related files are available via anonymous ftp from ftp.math.uiowa.edu in the directory of wu/ming. The MD energy is defined by J. Simon for polygonal knots. A polygonal knot K consists of several edges E_1 E_n in...
http://www.math.uiowa.edu/~wu/min/ming.html

SnapPea for Windows 95/98/NT by A.C. Manoharan.
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SnapPea PC  Helpful comments are welcome. Please let me know if you are using SnapPea for Windows in your research, and if you need any further features. Readme.win.txt 8 Kb Plain Text SnapPea.exe 491 Kb Binary Executable Cw3230.dll 296 Kb Binary Application...
http://home.att.net/~Manoharan/SnapPea/snappea.html

A proposed GAP share package. May be tried online.
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Simplicial Homology (share GAP package) Home Page  Calculate simplicial homology of finite simplicial complexes (with integer coefficients) Apply classical constructors and modifiers from algebraic topology to simplicial complexes Construct and modify order complexes of finite partially ordred sets. Important classes of partially ordred sets from combinatorics and...
http://www.eecis.udel.edu/~dumas/Homology/

A program for creating and studying hyperbolic 3-manifolds. Free source available in C.
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SnapPea  Pea is a program for creating and studying hyperbolic 3-manifolds. Linux (and other Unix) A partially complete version of SnapPea 3.0 is now available. Thanks to Nathan Dunfield's advice and assistance, SnapPea 3.0 is accessible via Python scripts as well...
http://www.geometrygames.org/SnapPea/

A collection of educational, graphical and research software by Jeff Weeks.
http://www.geometrygames.org/

Computational low-dimensional topology collected by Nathan Dunfield.
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www.CompuTop.org  If you know any other software that should be listed here, drop me a line. Suggestions are welcome Nathan Dunfield This website partially supported by NSF grant DMS-045491. Recent additions 2005/8/15: Added data about the virtual Haken conjecture. 2005/8/5: Added...
http://www.its.caltech.edu/~dunfield/computop/

With related tables, by Nathan Dunfield.
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Additions to SnapPea  Here are some additions to Jeff Weeks SnapPea that you may find useful. Comments and problems should go to me, Nathan Dunfield, not Jeff. See also the CompuTop.org software list. Data and Examples I have some tables of properties of...
http://www.its.caltech.edu/~dunfield/snappea/