Index of Mathematical DataBases

Info	Sort Key	Name	References	Area	Tags	Description
	abc triples	ABC-triples Bart de Smit	paper	number theory	abc conjecture distributed computing	Complete list of all ABC triples with c < 10^18 from the ABC@home project, plus curated lists of high-quality, high-merit and unbeaten triples.
	adjectives project	Adjectives Project Jesse Vogel David Holmes		algebraic geometry		Examples of schemes and morphisms based on combinations of adjectives
	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
	arg database	ARG Database The MIVIA group		combinatorics	graph theory
	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
	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
	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
	atlas of fullerenes	An atlas of fullerenes Patrick W. Fowler David Manolopoulos	ISBN	metric geometry	polyhedra
	atlas of graphs	An Atlas of Graphs Ronald Read Robin Wilson	ISBN	combinatorics	graph 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 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.
	atlas of small chiral polytopes	The Atlas of Small Chiral Polytopes Dimitri Leemans Michael Hartley Isabel Hubard	web	metric geometry group theory	abstract polytope
	atlas of small regular polytopes	An Atlas of Small Regular Polytopes Michael Hartley	DOI	metric geometry group theory	abstract polytope
	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)
	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
	bordeaux number field tables nftables	Bordeaux number field tables (nftables) Henri Cohen Francisco Diaz y Diaz Michel Olivier Karim Belabas		number theory	number fields class groups discriminants	The corrected Bordeaux ('megrez') tables of 1.15 million number fields of degrees 2-7, with discriminant, defining polynomial, class number and class group.
	calabi yau data	Calabi-Yau data Maximilian Kreuzer Harald Skarke	arXiv	combinatorics algebraic geometry differential geometry	manifolds Calabi-Yau
	calabi yau differential operator database	Calabi-Yau differential operator database Duco van Straten Pavel Metelitsyn		algebraic geometry mathematical physics classical analysis and ODEs	calabi-yau mirror symmetry picard-fuchs	Searchable database of fourth-order Calabi-Yau differential operators with their invariants, instanton numbers and Yukawa couplings.
	catalogue of lattices	A Catalogue of Lattices Neil Sloane Gabriele Nebe		linear algebra	lattice (group)
	catalogue of triangle cubics	Catalogue of Triangle Cubics Bernard Gibert		metric geometry	triangle cubic triangle center
	catalogue of unlabelled lattices on up to elements	Catalogue of unlabelled lattices on up to 16 elements Volker Gebhardt Stephen Tawn	DOI	combinatorics	lattice (order)
	catdat	CatDat Martin Brandenburg		category theory		A comprehensive and searchable database of categories and their properties
	census of edge transitive tetravalent graphs	A Census of Edge-Transitive Tetravalent Graphs Primož Potočnik Steve Wilson	arXiv	combinatorics	graph theory
	chapel hill poset atlas	Chapel Hill Poset Atlas Cheryl A. Gann Robert A. Proctor		combinatorics	posets
	chemichull	ChemicHull Valentin Dusollier Sébastien Bonte Gauvin Devillez Alain Hertz Hadrien Mélot David Schindl	arXiv	combinatorics	graph theory	Polyhedral description of chemical graphs of maximum degree 3
	circulant weighing matrices	Circulant Weighing Matrices Daniel M. Gordon	DOI	combinatorics	weighing matrices combinatorial designs	Database of existence and nonexistence results for circulant weighing matrices CW(n,k), extending Strassler's 1997 table.
	classical modular polynomials	Classical modular polynomials Andrew V. Sutherland	arXiv arXiv	number theory	modular polynomials elliptic curves isogenies	Classical modular polynomials for the modular curves X_0(N), for all levels N <= 400 and all prime levels N <= 1000.
	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
	cohomology of moduli spaces of curves	Cohomology of moduli spaces of curves Jonas Bergström		algebraic geometry	moduli spaces cohomology	A compilation of results on the cohomology of moduli spaces of smooth and stable curves.
	cohomology of the mod steenrod algebra	The cohomology of the mod 2 Steenrod algebra Robert Bruner John Rognes		algebraic topology		data on the mod 2 Steenrod algebra
	combinatorial catalogues	Combinatorial Catalogues (no longer online) Gordon Royle		combinatorics
	combinatorial data	Combinatorial Data Brendan McKay		combinatorics
	combinatorial data	Combinatorial Data Ian Wanless		combinatorics
	combinatorial spheres and polytopes with up to vertices	Combinatorial 3-spheres and 4-polytopes with up to 9 vertices Moritz Firsching	arXiv arXiv	combinatorics metric geometry	polytopes spheres realizability	Complete classifications of combinatorial 3-spheres and 4-polytopes with up to 9 vertices, with realizations or non-realizability certificates, plus inscriptions and neighborly-polytope realizations.
	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
	computer data on manifolds	Computer data on 3-manifolds Carlo Petronio Bruno Martelli Roberto Frigerio	paper paper	geometric topology	3-manifolds complexity hyperbolic geometry	Census data from the classification of closed orientable irreducible 3-manifolds of complexity at most 9 and of small hyperbolic 3-manifolds with geodesic boundary.
	congruence subgroups of psl 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
	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 $b \le 12$
	data and programs on congruence covers of twist knot orbifolds	Data and programs on congruence covers of twist-knot orbifolds Frank Calegari Nathan Dunfield	arXiv paper	geometric topology number theory	3-manifolds orbifolds congruence covers	Magma code and data on congruence covers of twist-knot orbifolds and on pro-p completions of the closed SnapPea census manifolds.
	data and programs on the virtual haken conjecture	Data and programs on the Virtual Haken Conjecture Nathan Dunfield Bill Thurston	arXiv paper	geometric topology	3-manifolds covers virtual haken	Data and code accompanying Dunfield-Thurston's experimental verification of the virtual Haken conjecture for the 10,986 closed hyperbolic 3-manifolds of the Hodgson-Weeks census.
	data for mordell curves	Data for Mordell curves Michael Bennett	DOI arXiv	number theory	mordell curves integral points elliptic curves	Complete lists of integer solutions to the Mordell equations Y^2 = X^3 + k for all nonzero k with |k| <= 10^7.
	database for number fields	A Database for Number Fields Jürgen Klüners Gunter Malle		number theory group theory	number fields
	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
	database of galois polynomials	A Database of Galois polynomials Bill Allombert Igor Schein		group theory number theory	Galois polynomials
	database of graphs in combinatorica format	A Database of Graphs in Combinatorica Format Sriram Pemmaraju Steven Skiena		combinatorics	graph theory
	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 (no longer online) 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.
	difference sets	Difference Sets Daniel M. Gordon	DOI	combinatorics	difference sets combinatorial designs	Parameter tables and known examples of (v,k,lambda)-difference sets in abelian groups with v < 100,000.
	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
	elliptic curve data	Elliptic Curve Data John Cremona	paper paper	number theory	elliptic curves bsd conjecture	Cremona's database of all elliptic curves over Q of conductor up to 500,000, with extensive arithmetic data for each curve.
	elliptic curve rank leaderboard	Elliptic Curve Rank Leaderboard		number theory	elliptic curves ranks records	A leaderboard of certified elliptic curves over Q of high Mordell-Weil rank relative to their size, measured by conductor, height, or discriminant.
	elliptic curves of prime conductor	Elliptic Curves of Prime Conductor Armand Brumer Oisin McGuinness	paper	number theory	elliptic curves prime conductor	The 310,716 elliptic curves of prime conductor less than 10^8 found by Brumer and McGuinness in computations at Fordham University in 1989-90.
	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 polyhedra	The Encyclopedia of Polyhedra George W. Hart		metric geometry	polyhedron	A collection of thousands of virtual reality polyhedra
	encyclopedia of quadri figures	An Encyclopedia of Quadri-Figures Chris van Tienhoven		metric geometry	quadri-figure
	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
	erdos problems database	Erdős Problems database	url	combinatorics number theory		A collaborative database of mathematical problems inspired by Paul Erdős.
	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	arXiv	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
	fields with small galois root discriminant	Fields with Small Galois Root Discriminant John Jones David P. Roberts		number theory	number fields root discriminant	Tables of number fields with small Galois root discriminant, organized by Galois group.
	findstat the combinatorial statistic finder	FindStat (The Combinatorial Statistic Finder) The FindStat collaboration		combinatorics	combinatorial statistic
	galois group data	Galois Group Data John Jones		group theory number theory	Galois groups transitive groups	Data on the transitive permutation groups that arise as Galois groups of number fields.
	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.
	generalised polygons of small order	Generalised Polygons of Small Order G. Eric Moorhouse	paper paper	combinatorics	generalized polygons finite geometry	Lists of all known generalised quadrangles, hexagons and octagons of small order, with incidence data and automorphism group generators.
	genus curves with modular jacobians	Genus 2 curves with modular jacobians Enrique González-Jiménez	paper	number theory algebraic geometry	genus 2 curves modular abelian surfaces	Table of genus-2 curves over Q whose Jacobians are modular abelian surfaces, with labels and equations.
	geometry of the moduli space of curves	The geometry of the moduli space of curves Ignacio Barros Pieter Belmans		algebraic geometry	moduli spaces curves kodaira dimension	Interactive overview of what is known about the geometry of the moduli spaces of stable n-pointed genus-g curves and their interiors.
	gpt erdos	GPT-Erdos Neel Somani		number theory combinatorics graph theory		A database of Erdős problems and candidate proofs generated via LLM-driven proof search
	graded ring database	Graded Ring Database Gavin Brown Alexander Kasprzyk		algebraic geometry	graded ring
	graphlopedia	Graphlopedia (no longer online) Kimberly Bautista Aaron Bode Riley Casper Sharat Chandra Dien Dang Nicholas Farn Graham Kelley Stanley Lai Adharsh Ranganathan Michael Trinh Alex Tsun Katrina Warner		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
	high rank elliptic curves with prescribed torsion	High rank elliptic curves with prescribed torsion Andrej Dujella		number theory	elliptic curves ranks torsion	Record tables of elliptic curves over Q of highest known Mordell-Weil rank for each of the 15 possible torsion groups.
	homepage of oriented matroids	Homepage of Oriented Matroids Lukas Finschi		combinatorics	matroids
	house of graphs	The House of Graphs Gunnar Brinkmann Kris Coolsaet Jan Goedgebeur Hadrien Mélot Gauvain Devillez		combinatorics	graph theory
	hyperkaehler info the geography of compact hyperkaehler varieties	hyperkaehler.info: the geography of compact hyperkähler varieties Pieter Belmans		algebraic geometry differential geometry	hyperkaehler varieties k3 surfaces	Collects deformation-invariant data on the known deformation types of compact hyperkähler varieties: K3 surfaces, K3^[n]-type, Kum^n-type, OG6 and OG10.
	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
	is sike broken yet	Is SIKE broken yet?		number theory information theory	post-quantum cryptography isogenies elliptic curves	A catalogue of isogeny-based cryptographic schemes and the known attacks against them.
	isogeny database	Isogeny database Enric Florit Gerard Finol	arXiv DOI	number theory algebraic geometry	isogeny elliptic curve
	knot atlas	The Knot Atlas Kim Morrison Dror Bar-Natan		geometric topology	knot theory
	knotinfo table of knot invariants	KnotInfo: Table of Knot Invariants Charles Livingston Allison H. Moore		geometric topology	knot invariant knot theory
	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
	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
	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
	map of the universe	Map of the Universe Gabriel Conant		logic		Visual categorization of properties that theories can satisfy
	markov bases database	The Markov Bases Database Thomas Kahle Johannes Rauh		algebraic geometry statistics	markov bases toric ideals algebraic statistics	A collection of computed Markov bases of the toric ideals arising in algebraic statistics.
	mathematical functions grimoire	The Mathematical Functions Grimoire Fredrik Johansson		functional analysis		An open source library of formulas for mathematical functions
	mivia graphs dataset	MIVIA graphs dataset The MIVIA group	DOI DOI	combinatorics	graph theory
	multiply perfect numbers page	The Multiply Perfect Numbers Page Achim Flammenkamp Richard Schroeppel		number theory		Records for multiply perfect numbers
	narrow admissible tuples	Narrow admissible tuples Andrew V. Sutherland		number theory	prime gaps admissible tuples polymath	Database of the narrowest known admissible k-tuples for every k from 2 to 5000.
	new modular non hyperelliptic genus curves	New modular non-hyperelliptic genus 3 curves Enrique González-Jiménez	paper	number theory algebraic geometry	modular curves plane quartics	Table of new modular non-hyperelliptic genus-3 curves over Q (smooth plane quartics) with defining equations.
	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
	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
	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
	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
	optimization constants in mathematics	Optimization Constants in Mathematics Terence Tao Damek Davis Paata Ivanisvili	url	numerical analysis combinatorics number theory		A crowdsourced repository of best known bounds for optimization constants
	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
	partition class polynomials	Partition class polynomials Andrew V. Sutherland	arXiv	number theory combinatorics	partitions class polynomials modular forms	The partition class polynomials H_n(X) for 1 <= n <= 750, whose traces encode the partition numbers p(n).
	periodic table of generalised grassmannians	Periodic table of generalised Grassmannians Pieter Belmans		algebraic geometry representation theory	grassmannians homogeneous varieties fano varieties	Interactive periodic table of generalised Grassmannians (rational homogeneous varieties G/P for maximal parabolic P) tabulating their invariants.
	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
	pi base	π-Base James Dabbs Steven Clontz		general topology		A community database of topological counterexamples
	planar hypohamiltonian graphs	Planar Hypohamiltonian Graphs (no longer online) Reza Jooyandeh		combinatorics	graph theory
	point set order type data base	Point Set Order Type Data Base Oswin Aichholzer Hannes Krasser	DOI paper paper	combinatorics metric geometry	order types point sets computational geometry	Database of all combinatorially inequivalent point configurations (order types) of up to 11 points in the plane, with precomputed properties of each set.
	polydb	polyDB Andreas Paffenholz The polymake team		combinatorics metric geometry	polytopes
	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	DOI	metric geometry group theory	abstract polytope
	polytopia	Polytopia The Polytopia collaboration		metric geometry	polyhedron
	primepages	The PrimePages Reginald McLean Chris Caldwell		number theory		Records for primes of different types
	projective planes of small order	Projective Planes of Small Order G. Eric Moorhouse	paper paper	combinatorics	projective planes finite geometry	Catalogue of all known projective planes of small order, with point-line incidence data and automorphism group generators.
	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
	relative difference sets	Relative Difference Sets Daniel M. Gordon	arXiv	combinatorics	difference sets combinatorial designs	The La Jolla relative difference sets repository — computational data on relative difference sets.
	ries	RIES Robert Munafo Thomas Ahle	url	number theory	inverse symbolic calculator	An inverse symbolic calculator that finds simple closed-form equations satisfied by a given number.
	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
	s unit solutions to diophantine equations	S-unit solutions to Diophantine equations Benjamin Matschke Rafael von Känel	arXiv	number theory
	siegel modular forms of degree and	Siegel Modular Forms of Degree 2 and 3 Jonas Bergström Fabien Cléry Carel Faber Gerard van der Geer	paper arXiv paper	number theory algebraic geometry	siegel modular forms hecke eigenvalues	Tables of traces of Hecke operators on spaces of Siegel modular forms of degree 2 (levels 1 and 2) and degree 3 (level 1), obtained from counting curves over finite fields.
	signed difference sets	Signed Difference Sets Daniel M. Gordon	DOI	combinatorics	difference sets combinatorial designs	Dataset of signed (v,k,lambda)-difference sets in finite groups, distributed as a Jupyter notebook with accompanying code.
	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 groups library	The Small Groups library Hans Ulrich Besche Bettina Eick Eamonn O'Brien		group 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 systems	Steiner Systems Daniel M. Gordon	paper	combinatorics	steiner systems combinatorial designs	Tables of known results on Steiner systems: infinite families and the 13 known Steiner 5-designs, with links to explicit systems.
	steiner triple systems of order	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 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
	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
	symmetric functions catalog	The symmetric functions catalog Per Alexandersson		combinatorics	symmetric functions
	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
	tables of imaginary quadratic fields with small class numbers	Tables of imaginary quadratic fields with small class numbers	paper paper paper	number theory	class numbers quadratic fields	Lists of all imaginary quadratic fields with class number h for h = 1-7 and every odd h up to 23, compiled from published determinations.
	tables of iwasawa invariants of elliptic curves	Tables of Iwasawa invariants of elliptic curves Robert Pollack		number theory	elliptic curves iwasawa theory	Tables of the Iwasawa invariants mu and lambda of elliptic curves of conductor up to 5000 at the primes 2, 3, 5, 7, 11 and 13.
	tables of new modular hyperelliptic curves	Tables of New Modular Hyperelliptic Curves Enrique González-Jiménez	DOI paper	number theory algebraic geometry	modular curves hyperelliptic curves	Tables of new modular hyperelliptic curves over Q of genus 2 to 6, organized by genus and by the decomposition of the Jacobian.
	tables of values of dedekind zeta functions	Tables of Values of Dedekind Zeta Functions Eyal Goren		number theory	zeta functions special values number fields	Tables of special values zeta_K(1-2i) at negative odd integers for the Riemann zeta function and Dedekind zeta functions of totally real fields of small degree.
	tangleinfo	TangleInfo Bartosz A. Gren Joanna I. Sulkowska Boštjan Gabrovšek	arXiv		tangles knot theory mutant knots symmetry groups	Database of algebraic tangles
	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
	unipotent muffin research kitchen	The Unipotent Muffin Research Kitchen Birne Binegar		representation theory rings and algebras	Lie algebra SQL interface
	unlabeled lattices on nodes	Unlabeled lattices on <=15 nodes Martin Malandro	paper DOI	combinatorics	lattice (order)
	visual polyhedra	Visual Polyhedra David I. McCooey		metric geometry combinatorics	polyhedra solid geometry visualization	Interactive 3D models of polyhedra with exact metric data, organized into more than thirty categories.
	weber modular polynomials	Weber modular polynomials Andrew V. Sutherland		number theory	modular polynomials class invariants elliptic curves	Modular polynomials for Weber's f-function for all primes 5 <= l < 5000.
	woolly mathematics	Woolly Mathematics	DOI	history and overview general mathematics mathematics education combinatorics number theory linear algebra		A searchable database of 19th–20th century mathematical problems from The Educational Times and Mathematical Questions.
	z cyclic whist tournaments	Z-cyclic Whist Tournaments John Jones		combinatorics	whist tournaments combinatorial designs	Data for constructing Z-cyclic whist tournaments for q² players, q a prime congruent to 3 mod 4.
	zeta functions of lie rings archive	Zeta Functions of Lie Rings Archive Luke Woodward		rings and algebras