Index of Mathematical DataBases

Ascii Name	Name	References	Tags	Description
(S-)Unit Groups of Orders	(S-)Unit Groups of Orders Gabriele Nebe, Renaud Coulangeon, Oliver Braun, Sebastian Schönnenbeck		website group representation gr.group-theory (MO)	A database of unit groups
A Catalogue of Lattices	A Catalogue of Lattices Neil Sloane, Gabriele Nebe		lattice
A Census of Edge-Transitive Tetravalent Graphs	A Census of Edge-Transitive Tetravalent Graphs Primož Potočnik, Steve Wilson	arxiv	graph co.combinatorics (MO) dataset (category)
A Database for Number Fields	A Database for Number Fields Jürgen Klüners, Gunter Malle		number field
A Database of Galois polynomials	A Database of Galois polynomials Bill Allombert, Igor Schein		Galois polynomial
A Database of Graphs in Combinatorica Format	A Database of Graphs in Combinatorica Format Sriram Pemmaraju, Steven Skiena		graph
ARG Database	ARG Database		graph
ATLAS of Finite Group Representations	ATLAS of Finite Group Representations Robert Wilson, Peter Walsh, Jonathan Tripp, Ibrahim Suleiman, Richard Parker, Simon Norton, Simon Nickerson, Steve Linton, John Bray, Rachel Abbott		group representation
An Atlas of Abstract Regular Polytopes for Small Almost Simple Groups	An Atlas of Abstract Regular Polytopes for Small Almost Simple Groups Laurence Vauthier, Dimitri Leemans	doi	abstract polytope dataset (category) geometry (classification) (MO)
An Atlas of Chiral Polytopes for Small Almost Simple Groups	An Atlas of Chiral Polytopes for Small Almost Simple Groups Dimitri Leemans, Michael Hartley, Isabel Hubard	web	abstract polytope dataset (category)
An Atlas of Graphs	An Atlas of Graphs Ronald Read, Robin Wilson	ISBN:0198526504	graph
An Atlas of Small Regular Polytopes	An Atlas of Small Regular Polytopes Michael Hartley	doi	abstract polytope dataset (category)
An Atlas of Subgroup Lattices of Finite Almost Simple Groups	An Atlas of Subgroup Lattices of Finite Almost Simple Groups Dimitri Leemans, Thomas Connor	doi	lattice dataset (category)
An Atlas of primitive geometries of rank 2 for sporadic groups	An Atlas of primitive geometries of rank 2 for sporadic groups Dimitri Leemans, Bernardo Rodrigues		geometry (object)
An Encyclopedia of Quadri-Figures	An Encyclopedia of Quadri-Figures Chris van Tienhoven	ISBN:9789082750010	quadri-figure
An atlas of fullerenes	An atlas of fullerenes Patrick W. Fowler, David Manolopoulos	ISBN:9780198557876
Atlas of Lie Groups and Representations	Atlas of Lie Groups and Representations		lie-groups (MO)
Blocks of finite groups	Blocks of finite groups Charles Eaton, Cesare G. Ardito
Boolean Zoo	Boolean Zoo Renan Gross
Calabi-Yau data	Calabi-Yau data Maximilian Kreuzer, Harald Skarke	arxiv	manifold
Catalogue of Triangle Cubics	Catalogue of Triangle Cubics Bernard Gibert		triangle cubic
Catalogue of unlabelled lattices on up to 16 elements	Catalogue of unlabelled lattices on up to 16 elements Volker Gebhardt, Stephen Tawn	doi	lattice
Chapel Hill Poset Atlas	Chapel Hill Poset Atlas Cheryl A. Gann, Robert A. Proctor
Classification of association schemes with small vertices	Classification of association schemes with small vertices Izumi Miyamoto, Akihide Hanaki		association scheme
Code Tables	Code Tables Markus Grassl	doi
Combinatorial Catalogues	Combinatorial Catalogues Gordon Royle
Combinatorial Data	Combinatorial Data Brendan McKay
Combinatorial Data	Combinatorial Data Ian Wanless
Complete Intersection Calabi-Yau Four-Folds	Complete Intersection Calabi-Yau Four-Folds Alexander Haupt, James Gray, Andre Lukas	arxiv arxiv	arXiv website enumeration	The complete list of Calabi-Yau four-folds
Database of Local Fields	Database of Local Fields John Jones, David P. Roberts
Database of Matroids	Database of Matroids Yoshitake Matsumoto, Sonoko Moriyama, Hiroshi Imai, David Bremner	doi	matroid dataset (category)
Database of Number Fields	Database of Number Fields John Jones, David P. Roberts	doi	number field
Database of Permutation Pattern Avoidance	Database of Permutation Pattern Avoidance Bridget Tenner		permutation pattern
Database of Ring Theory	Database of Ring Theory Ryan C. Schwiebert
Design Database	Design Database Peter Dobcsányi		block design
DiscreteZOO	DiscreteZOO Katja Berčič, Janoš Vidali
DistanceRegular.org	DistanceRegular.org Robert Bailey, Adam Jackson, Courtney Weir		graph
Distributome	Distributome Ivo Dinov, Dennis Pearl, Kyle Siegrist	doi	probability distribution
Echidna Databases	Echidna Databases David Kohel
Encyclopedia of Graphs	Encyclopedia of Graphs		graph system (category)
Encyclopedia of Polygon Geometry	Encyclopedia of Polygon Geometry Chris van Tienhoven	ISBN:9789082750027	polygon geometry
Encyclopedia of Triangle Centers	Encyclopedia of Triangle Centers Clark Kimberling		triangle center
Fanography	Fanography Pieter Belmans
FindStat (The Combinatorial Statistic Finder)	FindStat (The Combinatorial Statistic Finder)		combinatorial statistic
Graded Ring Database	Graded Ring Database Gavin Brown, Alexander Kasprzyk		graded ring
Graphlopedia	Graphlopedia
GroupNames	GroupNames		system (category) gr.group-theory (MO)
Homepage of Oriented Matroids	Homepage of Oriented Matroids Lukas Finschi		co.combinatorics (MO)
LMFDB, the database of L-functions, modular forms, and related objects	LMFDB, the database of L-functions, modular forms, and related objects		nt.number-theory (MO)
La Jolla Covering Repository Tables	La Jolla Covering Repository Tables Dan Gordon		covering design
LinkInfo: Table of Link Invariants	LinkInfo: Table of Link Invariants Charles Livingston, Allison Moore
Lists of finite lattices (modular, semimodular, graded and geometric)	Lists of finite lattices (modular, semimodular, graded and geometric) Jukka Kohonen		lattice dataset (category)
Lists of graphs of a prescribed symmetry type and valence, and some other combinatorial and algebraic structures	Lists of graphs of a prescribed symmetry type and valence, and some other combinatorial and algebraic structures Primož Potočnik
Lists of regular maps, hypermaps and polytopes, trivalent symmetric graphs, and surface actions	Lists of regular maps, hypermaps and polytopes, trivalent symmetric graphs, and surface actions Marston Conder
MIVIA graphs dataset	MIVIA graphs dataset		graph
Parameters of Strongly Regular Graphs	Parameters of Strongly Regular Graphs Andries Brouwer		graph
Planar Hypohamiltonian Graphs	Planar Hypohamiltonian Graphs Reza Jooyandeh		graph
Polyhedron Database	Polyhedron Database		polyhedron
Polytopes Derived from Sporadic Simple Groups	Polytopes Derived from Sporadic Simple Groups Michael Hartley, Alexander Hulpke	rg	abstract polytope dataset (category)
Polytopia	Polytopia		polyhedron system (category) geometry (classification) (MO)
QaoS - Querying Algebraic Objects System	QaoS - Querying Algebraic Objects System Sebastian Freundt, Sebastian Pauli, Robert Fraatz
Regular Graphs	Regular Graphs Markus Meringer		graph
Simple k-Angulations	Simple k-Angulations Reza Jooyandeh		graph
Small Graph Database	Small Graph Database Jason Grout		graph
SmallCategories	SmallCategories Ben Spitz		ct.category-theory (MO)
Steiner Triple Systems of order 19	Steiner Triple Systems of order 19 Petteri Kaski, Patric Östergård	doi	Steiner triple system
Strongly Regular Graphs on at most 64 vertices	Strongly Regular Graphs on at most 64 vertices Ted Spence		graph
SuiteSparse Matrix Collection	SuiteSparse Matrix Collection Tim Davis, Yifan Hu, Scott Kolodziej		matrix
Table of AME states	Table of AME states Felix Huber, Nikolai Wyderka	doi
Table of Knot Invariants	Table of Knot Invariants Charles Livingston		knot invariant knot-theory (MO)
The Atlas of Small Chiral Polytopes	The Atlas of Small Chiral Polytopes Dimitri Leemans, Michael Hartley, Isabel Hubard	web	abstract polytope dataset (category)
The Encyclopedia of Polyhedra	The Encyclopedia of Polyhedra George W. Hart		polyhedron
The House of Graphs	The House of Graphs		graph
The Knot Atlas	The Knot Atlas		knot-theory (MO)
The Mathematical Functions Grimoire	The Mathematical Functions Grimoire Fredrik Johansson
The On-Line Encyclopedia of Integer Sequences	The On-Line Encyclopedia of Integer Sequences		integer sequence
The Small Groups library	The Small Groups library Hans Ulrich Besche, Bettina Eick, Eamonn O'Brien
The SymbolicData Project	The SymbolicData Project
The Unipotent Muffin Research Kitchen	The Unipotent Muffin Research Kitchen		Lie algebra
The online database of Vertex Operator Algebras and Modular Categories	The online database of Vertex Operator Algebras and Modular Categories Terry Gannon, Gerald Höhn, Hiroshi Yamauchi
The symmetric functions catalog	The symmetric functions catalog Per Alexandersson
Toric Calabi-Yau Database	Toric Calabi-Yau Database Ross Altman, James Gray, Yang-Hui He, Vishnu Jejjala, Brent D. Nelson	arxiv
Unlabeled lattices on <=15 nodes	Unlabeled lattices on <=15 nodes Martin Malandro		lattice dataset (category)
Zeta Functions of Lie Rings Archive	Zeta Functions of Lie Rings Archive
polyDB	polyDB		geometry (classification) (MO)
pi-base	π-Base James Dabbs, Steven Clontz			A community database of topological counterexamples