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Our aim is to give information about all the interesting lattices in "low" dimensions (and to provide them with a "home page"!). The data-base now contains about 160,000 lattices!
On the Magnus Function
Roger C. Alperin
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1 Introduction
There are uncountably many integer functions M : Z ¡! Z having the
properties
M(0) = 0;M(M(x)) = x;M(x) = M(M(x ¡ 1) ¡ 1) ¡ 1:
Using this B. Neumann [cf. M2] showed the existence of uncountably many
maximal non-parabolic subgroups of the modular group PSL2(Z).
Related data about elliptic curves, abelian varieties, etc.
William A. Stein
Collection of Tables Related to Modular Forms, Elliptic Curves, and Abelian Varieties
The Modular Forms Explorer (PostgreSQL)
The Interactive Modular Forms Explorer (uses ZOPE)
The Stein-Watkins tables of elliptic curves (see also the paper).
Elliptic Curves Information Calculator
PARI & MAGMA Calculator
Bibtex Reference for the Database
Talks About the Database
Lecture Notes
Software
L. Francisco-Revilla, and J. Crow. HT '09: Proceedings of the Twentieth ACM Conference on Hypertext and Hypermedia, New York, NY, USA, ACM, (July 2009)
U. Assmann, S. Berger, F. Bry, T. Furche, J. Henriksson, and J. Johannes. On the Move to Meaningful Internet Systems 2007: OTM 2007 Workshops, Proceedings of International Workshop on Scalable Semantic Web Knowledge Base Systems, Vilamoura, Algarve, Portugal (25th--30th November 2007), volume 4805/2007 of LCNS, (2007)
F. Bennett III, B. Dolin, and E. Rieffel. Genetic Programming, Proceedings of EuroGP'2001, volume 2038 of LNCS, page 234--245. Lake Como, Italy, Springer-Verlag, (18-20 April 2001)
J. Sowa. Proceedings of the 12th International Conference on Conceptual Structures (ICCS 2004), volume 3127 of Lecture Notes in Computer Science, page 31-51. Springer, (2004)