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

websitegroup representationgr.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 graphco.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 polytopedataset (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 polytopedataset (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 polytopedataset (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 latticedataset (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

arxivarxiv arXivwebsiteenumeration 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 matroiddataset (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 graphsystem (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
Error Correction Zoo Error Correction Zoo

Victor V. Albert, Philippe Faist

arXivwebsiteenumeration Repository and taxonomy of schemes to robustly store and process classical or quantum information.
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
Group​Names Group​Names 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
Le Superficie Algebriche Le Superficie Algebriche

Pieter Belmans, Johan Commelin

A tool to visually study the geography of (minimal) complex algebraic smooth surfaces.
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

latticedataset (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 polytopedataset (category)
Polytopia Polytopia polyhedronsystem (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 invariantknot-theory (MO)
The Atlas of Small Chiral Polytopes The Atlas of Small Chiral Polytopes

Dimitri Leemans, Michael Hartley, Isabel Hubard

web abstract polytopedataset (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

latticedataset (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