Index of Mathematical DataBases

Info	Ascii Name	Name	References	Area	Tags	Description
	(S-)Unit Groups of Orders	(S-)Unit Groups of Orders Gabriele Nebe Renaud Coulangeon Oliver Braun Sebastian Schönnenbeck		number theory rings and algebras group theory		A database of unit groups
	A Catalogue of Lattices	A Catalogue of Lattices Neil Sloane Gabriele Nebe		linear algebra	lattice (group)
	A Census of Edge-Transitive Tetravalent Graphs	A Census of Edge-Transitive Tetravalent Graphs Primož Potočnik Steve Wilson	arXiv	combinatorics	graph theory
	A Database for Number Fields	A Database for Number Fields Jürgen Klüners Gunter Malle		number theory group theory	number fields
	A Database of Continued Fractions of Polynomial Type	A Database of Continued Fractions of Polynomial Type Henri Cohen		number theory functional analysis	continued fraction hypergeometric series
	A Database of Galois polynomials	A Database of Galois polynomials Bill Allombert Igor Schein		group theory number theory	Galois polynomials
	A Database of Graphs in Combinatorica Format	A Database of Graphs in Combinatorica Format Sriram Pemmaraju Steven Skiena		combinatorics	graph theory
	ARG Database	ARG Database The MIVIA group		combinatorics	graph theory
	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 theory	group representations
	Adjectives Project	Adjectives Project Jesse Vogel David Holmes		algebraic geometry		Examples of schemes and morphisms based on combinations of adjectives
	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	metric geometry	abstract polytopes
	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	metric geometry combinatorics group theory	abstract polytopes
	An Atlas of Graphs	An Atlas of Graphs Ronald Read Robin Wilson	ISBN	combinatorics	graph theory
	An Atlas of Small Regular Polytopes	An Atlas of Small Regular Polytopes Michael Hartley	DOI	metric geometry group theory	abstract polytope
	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	group theory	lattice (order)
	An Encyclopedia of Quadri-Figures	An Encyclopedia of Quadri-Figures Chris van Tienhoven		metric geometry	quadri-figure
	An atlas of fullerenes	An atlas of fullerenes Patrick W. Fowler David Manolopoulos	ISBN	metric geometry	polyhedra
	Analytic Number Theory Exponent Database (ANTEDB)	Analytic Number Theory Exponent Database (ANTEDB) Terence Tao Timothy Trudgian Andrew Yang	arXiv blog	number theory		A living database of the known bounds and relations between exponents of interest in analytic number theory
	Atlas of Lie Groups and Representations	Atlas of Lie Groups and Representations The Atlas project collaboration		group theory representation theory differential geometry	Lie groups
	Atlas of primitive geometries of rank 2 for sporadic groups	Atlas of primitive geometries of rank 2 for sporadic groups Dimitri Leemans Bernardo Rodrigues	DOI	metric geometry group theory		All primitive geometries of rank two obtained from the 12 smallest sporadic simple groups.
	Bilbao crystallographic server	Bilbao crystallographic server The Bilbao crystallographic collaboration		group theory representation theory		Applications of group theory to crystallography
	Blocks of finite groups	Blocks of finite groups Charles Eaton Cesare G. Ardito		group theory
	Boolean Zoo	Boolean Zoo Renan Gross		functional analysis	boolean analysis
	Calabi-Yau data	Calabi-Yau data Maximilian Kreuzer Harald Skarke	arXiv	combinatorics algebraic geometry differential geometry	manifolds Calabi-Yau
	Catalogue of Triangle Cubics	Catalogue of Triangle Cubics Bernard Gibert		metric geometry	triangle cubic triangle center
	Catalogue of unlabelled lattices on up to 16 elements	Catalogue of unlabelled lattices on up to 16 elements Volker Gebhardt Stephen Tawn	DOI	combinatorics	lattice (order)
	Chapel Hill Poset Atlas	Chapel Hill Poset Atlas Cheryl A. Gann Robert A. Proctor		combinatorics	posets
	Classification of association schemes with small vertices	Classification of association schemes with small vertices Izumi Miyamoto Akihide Hanaki		combinatorics group theory	association schemes
	Code Tables	Code Tables Markus Grassl	DOI	combinatorics	coding theory
	Combinatorial Catalogues	Combinatorial Catalogues Gordon Royle		combinatorics
	Combinatorial Data	Combinatorial Data Brendan McKay		combinatorics
	Combinatorial Data	Combinatorial Data Ian Wanless		combinatorics
	Complete Intersection Calabi-Yau Four-Folds	Complete Intersection Calabi-Yau Four-Folds Alexander Haupt James Gray Andre Lukas	arXiv arXiv	algebraic geometry mathematical physics	Calabi-Yau manifolds	The complete list of Calabi-Yau four-folds
	Congruence Subgroups of PSL(2,Z)	Congruence Subgroups of PSL(2,Z) Chris Cummins Sebastian Pauli		number theory group theory	congruence subgroup modular curve
	Counterexamples in Analysis	Counterexamples in Analysis Bernard R. Gelbaum John M. H. Olmsted		classical analysis and ODEs		Counterexamples, arranged according to difficulty, mostly related to real variables
	Covering Designs	Covering Designs Dan Gordon		combinatorics	covering design
	Database of Local Fields	Database of Local Fields John Jones David P. Roberts	DOI DOI DOI	number theory
	Database of Matroids	Database of Matroids Yoshitake Matsumoto Sonoko Moriyama Hiroshi Imai David Bremner	DOI	combinatorics	matroid
	Database of Number Fields	Database of Number Fields John Jones David P. Roberts	DOI	number theory	number fields
	Database of Permutation Pattern Avoidance	Database of Permutation Pattern Avoidance Bridget Tenner		combinatorics	permutation pattern
	Database of Ring Theory	Database of Ring Theory Ryan C. Schwiebert		commutative algebra rings and algebras
	Database of self-dual codes	Database of self-dual codes Masaaki Harada Akihiro Munemasa		combinatorics	coding theory
	Datasets of Highly Symmetric Objects	Datasets of Highly Symmetric Objects Primož Potočnik		combinatorics group theory	graph theory	Lists of graphs of a prescribed symmetry type and valence, and some other combinatorial and algebraic structures
	DefElement	DefElement Matthew W. Scroggs Pablo D. Brubeck Joseph P. Dean Jørgen S. Dokken India Marsden		analysis of PDEs		An encyclopedia of finite element definitions
	Design Database	Design Database Peter Dobcsányi		combinatorics	block designs	A collections of (binary, connected) block designs.
	DiscreteZOO	DiscreteZOO Katja Berčič Janoš Vidali		combinatorics
	DistanceRegular.org	DistanceRegular.org Robert Bailey Adam Jackson Courtney Weir		combinatorics	graph theory	an online repository of distance-regular graphs
	Distributome	Distributome Ivo Dinov Dennis Pearl Kyle Siegrist	DOI	probability	probability distributions
	Echidna Databases	Echidna Databases David Kohel		number theory		Databases for Elliptic Curves and Higher Dimensional Analogues
	Encyclopedia of Graphs	Encyclopedia of Graphs Abelium d.o.o., Research & Development		combinatorics	graph theory
	Encyclopedia of Polygon Geometry	Encyclopedia of Polygon Geometry Chris van Tienhoven	ISBN	metric geometry	polygon geometry
	Encyclopedia of Sparse Graph Codes	Encyclopedia of Sparse Graph Codes David J.C. MacKay		combinatorics	coding theory
	Encyclopedia of Triangle Centers	Encyclopedia of Triangle Centers Clark Kimberling		metric geometry	triangle center
	Equational theories database	Equational theories database Terence Tao Pietro Monticone Shreyas Srinivas		group theory		Implications between all equational laws for magmas involving at most four operations
	Erich's Packing Center	Erich's Packing Center Erich Friedman		metric geometry		Packing shapes in other shapes and related problems
	Error Correction Zoo	Error Correction Zoo Victor V. Albert Philippe Faist		combinatorics	coding theory website enumeration	Repository and taxonomy of schemes to robustly store and process classical or quantum information.
	Fanography	Fanography Pieter Belmans		algebraic geometry
	FindStat (The Combinatorial Statistic Finder)	FindStat (The Combinatorial Statistic Finder) The FindStat collaboration		combinatorics	combinatorial statistic
	Game of Sloanes	Game of Sloanes John Jasper Emily J. King Dustin G. Mixon	arXiv DOI	algebraic geometry number theory	arXiv.MG arXiv.FA	A game to find putatively optimal packings in complex projective space with the goal of proving optimality of as many packings as possible.
	Graded Ring Database	Graded Ring Database Gavin Brown Alexander Kasprzyk		algebraic geometry	graded ring
	Graphlopedia	Graphlopedia (no longer online)		combinatorics	graph theory
	Griesmer Bound for Linear Codes over Finite Fields	Griesmer Bound for Linear Codes over Finite Fields Tatsuya Maruta		combinatorics	coding theory
	GroupNames	GroupNames Tim Dokchitser		group theory
	Hierarchy of Parameters	Hierarchy of Parameters Václav Blazej		combinatorics	graph theory	Hierarchy of invariants in graph theory focused on parameterized complexity
	Homepage of Oriented Matroids	Homepage of Oriented Matroids Lukas Finschi		combinatorics	matroids
	Information System on Graph Classes and their Inclusions	Information System on Graph Classes and their Inclusions H.N. de Ridder et al.		combinatorics	graph theory
	Isogeny database	Isogeny database Enric Florit Gerard Finol	arXiv DOI	number theory algebraic geometry	isogeny elliptic curve
	KnotInfo: Table of Knot Invariants	KnotInfo: Table of Knot Invariants Charles Livingston Allison H. Moore		geometric topology	knot invariant knot theory
	LMFDB, the L-functions and modular forms database	LMFDB, the L-functions and modular forms database The LMFDB collaboration		number theory algebraic geometry group theory rings and algebras
	Le Superficie Algebriche	Le Superficie Algebriche Pieter Belmans Johan Commelin		algebraic geometry		A tool to visually study the geography of (minimal) complex algebraic smooth surfaces.
	Legendrian Knot Atlas	Legendrian Knot Atlas N. Bhattacharyya C. Cox J. Murray A. Pandikkadan David Shea Vela-Vick Angela Wu		geometric topology	knot theory
	LinkInfo: Table of Link Invariants	LinkInfo: Table of Link Invariants Charles Livingston Allison Moore		geometric topology	knot invariant knot theory
	Lists of finite lattices (modular, semimodular, graded and geometric)	Lists of finite lattices (modular, semimodular, graded and geometric) Jukka Kohonen	arXiv	combinatorics	lattice (order)
	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		combinatorics
	MIVIA graphs dataset	MIVIA graphs dataset The MIVIA group	DOI DOI	combinatorics	graph theory
	Map of the Universe	Map of the Universe Gabriel Conant		logic		Visual categorization of properties that theories can satisfy
	NIST Digital Library of Mathematical Functions	NIST Digital Library of Mathematical Functions The DLMF Staff		functional analysis classical analysis and ODEs complex variables numerical analysis number theory		Special functions from both pure and applied math
	NumberDB	NumberDB Benjamin Matschke		number theory	inverse symbolic calculator
	Operadia	Operadia Frédéric Chapoton Pieter Belmans Paul Laubie		algebraic topology combinatorics		A database of operads in sets and vector spaces
	Optimal Edit-Metric Codes	Optimal Edit-Metric Codes Sheridan Houghten		combinatorics	coding theory
	Optimal Insertion-Deletion Correcting Codes	Optimal Insertion-Deletion Correcting Codes Sheridan Houghten		combinatorics	coding theory
	PHOEG Helps to Obtain Extremal Graphs	PHOEG Helps to Obtain Extremal Graphs Gauvain Devillez Pierre Hauweele Hadrien Mélot Laurence Floriani Thomas Lavend'Homme		combinatorics	graph theory	A conjecture discovery system for extremal graphs
	Packomania	Packomania Eckard Specht		metric geometry		Packing circles in other shapes
	Pairs of primes with small order reciprocity	Pairs of primes with small order reciprocity Craig Costello Gaurish Korpal	ePrint	number theory
	Parameters of Strongly Regular Graphs	Parameters of Strongly Regular Graphs Andries Brouwer		combinatorics	graph theory
	Planar Hypohamiltonian Graphs	Planar Hypohamiltonian Graphs (no longer online) Reza Jooyandeh		combinatorics	graph theory
	Polyhedron Database	Polyhedron Database The Netlib editors		metric geometry	polyhedron
	Polytopes Derived from Sporadic Simple Groups	Polytopes Derived from Sporadic Simple Groups Michael Hartley Alexander Hulpke		metric geometry group theory	abstract polytope
	Polytopia	Polytopia The Polytopia collaboration		metric geometry	polyhedron
	QaoS - Querying Algebraic Objects System	QaoS - Querying Algebraic Objects System (no longer online) Sebastian Freundt Sebastian Pauli Robert Fraatz		number theory
	Quasi-Cyclic Codes	Quasi-Cyclic Codes Eric Zhi Chen		combinatorics	coding theory
	Regina - Supporting data	Regina - Supporting data Benjamin Burton Ryan Budney William Pettersson		geometric topology	knot theory 3-manifolds	Knot, link and 3-manifold data
	Regular Graphs	Regular Graphs Markus Meringer		combinatorics	graph theory
	S-unit solutions to Diophantine equations	S-unit solutions to Diophantine equations Benjamin Matschke Rafael von Känel	arXiv	number theory
	Simple k-Angulations	Simple k-Angulations (no longer online) Reza Jooyandeh		combinatorics	graph theory
	Small Graph Database	Small Graph Database Jason Grout		combinatorics	graph theory
	Small Height Points for Cubic Polynomials	Small Height Points for Cubic Polynomials Rob Benedetto Ben Dickman Sasha Joseph Ben Krause Dan Rubin Xinwen Zhou	arXiv	dynamical systems number theory	arithmetic dynamics preperiodic points
	Small Height Points for Quadratic Polynomials	Small Height Points for Quadratic Polynomials Rob Benedetto Ruqian Chen Trevor Hyde Yordanka Kovacheva Colin White		dynamical systems number theory	arithmetic dynamics canonical height
	Small Height Points for Quadratic Rational Functions	Small Height Points for Quadratic Rational Functions Rob Benedetto Ruqian Chen Trevor Hyde Yordanka Kovacheva Colin White		dynamical systems number theory	arithmetic dynamics preperiodic points
	Small Ramsey Numbers	Small Ramsey Numbers Stanisław Radziszowski		combinatorics	Ramsey theory
	SmallCategories	SmallCategories Ben Spitz		category theory
	Steiner Triple Systems of order 19	Steiner Triple Systems of order 19 Petteri Kaski Patric Östergård Olli Pottonen	DOI	combinatorics	Steiner triple system block design
	Strongly Regular Graphs on at most 64 vertices	Strongly Regular Graphs on at most 64 vertices Ted Spence		combinatorics	graph theory
	SuiteSparse Matrix Collection	SuiteSparse Matrix Collection Tim Davis Yifan Hu Scott Kolodziej		linear algebra	matrix
	Syzygy Data	Syzygy Data Juliette Bruce Daniel Erman Steve Goldstein Jay Yang	arXiv	algebraic geometry linear algebra	syzygy
	Table of AME states	Table of AME states Felix Huber Nikolai Wyderka	DOI	mathematical physics
	TangleInfo	TangleInfo Bartosz A. Gren Joanna I. Sulkowska Boštjan Gabrovšek	arXiv		tangles knot theory mutant knots symmetry groups	Database of algebraic tangles
	The Atlas of Small Chiral Polytopes	The Atlas of Small Chiral Polytopes Dimitri Leemans Michael Hartley Isabel Hubard	web	metric geometry group theory	abstract polytope
	The Cunningham Project	The Cunningham Project Sam Wagstaff Allan Joseph Champneys Cunningham Herbert J. Woodall		number theory	integer factorization	Factors of $b^n \pm 1$ for $b \le 12$
	The Encyclopedia of Polyhedra	The Encyclopedia of Polyhedra George W. Hart		metric geometry	polyhedron	A collection of thousands of virtual reality polyhedra
	The House of Graphs	The House of Graphs Gunnar Brinkmann Kris Coolsaet Jan Goedgebeur Hadrien Mélot Gauvain Devillez		combinatorics	graph theory
	The Knot Atlas	The Knot Atlas Kim Morrison Dror Bar-Natan		geometric topology	knot theory
	The Mathematical Functions Grimoire	The Mathematical Functions Grimoire Fredrik Johansson		functional analysis		An open source library of formulas for mathematical functions
	The Multiply Perfect Numbers Page	The Multiply Perfect Numbers Page Achim Flammenkamp Richard Schroeppel		number theory		Records for multiply perfect numbers
	The On-Line Encyclopedia of Integer Sequences	The On-Line Encyclopedia of Integer Sequences The OEIS community		combinatorics number theory algebraic geometry group theory general mathematics	integer sequences
	The PrimePages	The PrimePages Reginald McLean Chris Caldwell		number theory		Records for primes of different types
	The Small Groups library	The Small Groups library Hans Ulrich Besche Bettina Eick Eamonn O'Brien		group theory
	The SymbolicData Project	The SymbolicData Project Hans-Gert Gräbe, Albert Heinle and others		metric geometry rings and algebras commutative algebra group theory number theory	abstract polytope
	The Unipotent Muffin Research Kitchen	The Unipotent Muffin Research Kitchen Birne Binegar		representation theory rings and algebras	Lie algebra SQL interface
	The cohomology of the mod 2 Steenrod algebra	The cohomology of the mod 2 Steenrod algebra Robert Bruner John Rognes		algebraic topology		data on the mod 2 Steenrod 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		operator algebras category theory linear algebra
	The symmetric functions catalog	The symmetric functions catalog Per Alexandersson		combinatorics	symmetric functions
	Tilings Encyclopedia	Tilings Encyclopedia Dirk Frettlöh Franz Gähler Edmund Harriss		metric geometry		Examples of nonperiodic substitution tilings
	Toric Calabi-Yau Database	Toric Calabi-Yau Database Ross Altman James Gray Yang-Hui He Vishnu Jejjala Brent D. Nelson	arXiv arXiv arXiv	algebraic geometry mathematical physics	Calabi-Yau manifolds
	Two-Weight Codes	Two-Weight Codes Eric Zhi Chen		combinatorics	coding theory
	Unlabeled lattices on <=15 nodes	Unlabeled lattices on <=15 nodes Martin Malandro	paper DOI	combinatorics	lattice (order)
	Zeta Functions of Lie Rings Archive	Zeta Functions of Lie Rings Archive Luke Woodward		rings and algebras
	manYPoints - Table of Curves with Many Points	manYPoints - Table of Curves with Many Points Gerard van der Geer Everett W. Howe Kristin E. Lauter Christophe Ritzenthaler		number theory algebraic geometry	curve point counting
	polyDB	polyDB Andreas Paffenholz The polymake team		combinatorics metric geometry	polytopes
	pi-base	π-Base James Dabbs Steven Clontz		general topology		A community database of topological counterexamples