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Databases

Optional and standard databases extending Magma's capabilities across group theory, number theory, algebraic geometry, combinatorics, and more. Log in to your account to download.

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Each database file is installed by extracting its contents to the libs/data subdirectory of your Magma installation.

Optional Databases

Not part of the standard distribution. Download only if needed — some files are very large.

AlgBas.tar.gz

A database of basic algebras for the p-modular group algebras of some of the smaller groups catalogued in the Atlas of Finite Groups.

10.9 MB15/5/2017
Anf.tar.gz

The number field database, comprising over 2.6 million number fields of degrees between 2 and 9 (inclusive).

18.1 MB25/6/2006
Atlas.tar.gz

The ATLAS database of finite group representations (283 groups).

181 MB28/8/2023
canonical3.tar.gz

The classification of all 674,688 canonical Fano polytopes in dimension three. See the included README.txt for installation instructions.

15.4 MB29/3/2012
data3to8.tar.gz

Data for creating groups of order 38.

14.5 MB4/12/2012
ECLarge.tar.gz

A database containing 136,924,520 elliptic curves with conductor less than 108. (Not a complete enumeration.) Also available in 12 smaller parts below.

902 MB7/11/2005
Show ECLarge in 12 parts
ECLarge_pt01.tar.gz

Part 1 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

87.5 MB7/11/2005
ECLarge_pt02.tar.gz

Part 2 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.1 MB7/11/2005
ECLarge_pt03.tar.gz

Part 3 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.2 MB7/11/2005
ECLarge_pt04.tar.gz

Part 4 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.3 MB7/11/2005
ECLarge_pt05.tar.gz

Part 5 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.3 MB7/11/2005
ECLarge_pt06.tar.gz

Part 6 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.3 MB7/11/2005
ECLarge_pt07.tar.gz

Part 7 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.3 MB7/11/2005
ECLarge_pt08.tar.gz

Part 8 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.3 MB7/11/2005
ECLarge_pt09.tar.gz

Part 9 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.4 MB7/11/2005
ECLarge_pt10.tar.gz

Part 10 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.4 MB7/11/2005
ECLarge_pt11.tar.gz

Part 11 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

75.4 MB7/11/2005
ECLarge_pt12.tar.gz

Part 12 of the ECLarge database. Not needed if you download ECLarge.tar.gz above.

61.4 MB7/11/2005
FldFinLog_2.tar.gz

Tables for computing discrete logarithms in finite fields of characteristic 2 (complete up to GF(2440)).

1.61 GB4/12/2012
FldFinLog_3.tar.gz

Tables for computing discrete logarithms in finite fields of characteristic 3 (complete up to GF(3261)).

859 MB4/12/2012
FldFinLog_5.tar.gz

Tables for computing discrete logarithms in finite fields of characteristic 5 (complete up to GF(5203)).

1.29 GB4/12/2012
FldFinLog_7.tar.gz

Tables for computing discrete logarithms in finite fields of characteristic 7 (complete up to GF(7150)).

637 MB4/12/2012
FldFinLog_other.tar.gz

Tables for discrete logarithms in finite fields of characteristic p, where p is a small prime greater than 7 (covers p up to 97 for many fields).

231 MB4/12/2012
FldFun.tar.gz

Databases of function fields with specified base finite field and degree. Supported: F2 (d2,d3), F3 (d2), F4 (d2,d3,d5), F5 (d2,d3,d4,d8), F7 (d9), F11 (d3), F13 (d3).

1.94 MB1/11/2006
Graphs.tar.gz

Databases of small graphs with various properties (simple, Eulerian, planar connected, self-complementary). Also available as separate files below.

271 MB1/12/2009
Show Graphs as separate files
Graphs-euler.tar.gz

Databases of small Eulerian graphs.

183 MB1/12/2009
Graphs-planar.tar.gz

Databases of small planar connected graphs.

37.4 MB1/12/2009
Graphs-selfcomp.tar.gz

Databases of small self-complementary graphs.

42.7 MB1/12/2009
Graphs-simple.tar.gz

Databases of small simple graphs.

8.26 MB1/12/2009
GraphSTR.tar.gz

Some strongly regular graphs with 25 to 40 vertices.

2.30 MB4/6/2001
GrpAtc.tar.gz

A database of automatic groups created from hyperbolic manifolds (currently 5,389 such automatic groups).

265 MB15/7/2016
hadamard.tar.gz

Known inequivalent Hadamard matrices of degree up to 256.

2.02 MB11/5/2010
hadamard_skew.tar.gz

Known inequivalent skew-symmetric Hadamard matrices of degrees 36, 44, and 52.

183 KB5/3/2004
K3S.tar.gz

All K3 surfaces of genus −1, 0, 1, or 2, and others of genus up to 9.

1.27 MB3/11/2003
lreflexive2.tar.gz

The classification of all l-reflexive polygons up to index 200. See included README.txt for installation instructions.

529 KB9/8/2011
mfdb.tar.gz

The fundamental groups of the 10,986 small-volume closed hyperbolic manifolds in the Hodgson–Weeks census.

645 KB13/5/2004
ModEqA.tar.gz

The extended database of Atkin modular polynomials for primes between 400 and 1000. Note: 13 primes between 800 and 1000 are not in this database.

156 MB14/7/2006
qm.tar.gz

A database of quaternionic matrix groups.

853 KB25/5/2004
RepRat.tar.gz

A database of irreducible QG-modules, where G is a finite group and Q is the rational field (most irreducible rational representations of ATLAS groups up to degree 1000).

242 MB4/7/2017
sm.tar.gz

A database of symplectic matrix groups.

53.0 KB26/2/2010
smallpolygons.tar.gz

The classification of all polygons, up to translation and change of basis, that fit inside a [0,7] × [0,7] box. See included README.txt for installation instructions.

8.64 MB20/4/2012
smoothfano7.tar.gz

The classification of all 72,256 nonsingular Fano polytopes in dimension 7. See included README.txt for installation instructions.

2.63 MB13/12/2010
smoothfano8.tar.gz

The classification of all 749,892 nonsingular Fano polytopes in dimension 8. See included README.txt for installation instructions.

36.3 MB13/12/2010
Trn32IdData.tar.gz

Transitive group identification data for degree 32 (1.4 GB uncompressed).

175 MB27/1/2012
TrnGps32.tar.gz

All transitive permutation groups of degree 32.

113 MB27/5/2011
TrnGps48 — transitive groups of degree 48 (10 parts, ~11 GB total)
TrnGps48_pt0.tar.gz

Part 0 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.02 GB17/1/2020
TrnGps48_pt1.tar.gz

Part 1 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.01 GB17/1/2020
TrnGps48_pt2.tar.gz

Part 2 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.03 GB17/1/2020
TrnGps48_pt3.tar.gz

Part 3 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.13 GB17/1/2020
TrnGps48_pt4.tar.gz

Part 4 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.18 GB17/1/2020
TrnGps48_pt5.tar.gz

Part 5 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.19 GB17/1/2020
TrnGps48_pt6.tar.gz

Part 6 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.20 GB17/1/2020
TrnGps48_pt7.tar.gz

Part 7 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.16 GB17/1/2020
TrnGps48_pt8.tar.gz

Part 8 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.20 GB17/1/2020
TrnGps48_pt9.tar.gz

Part 9 of the database of transitive permutation groups of degree 48 (take parts 0 to 9).

1.27 GB17/1/2020

Standard Databases

Included in the standard Magma distribution — no download required. Listed here for users who need the latest version of a specific database.

almost_simple.tar.gz

Every group G where S ≤ G ≤ Aut(S) and S is a simple group of order less than 16,000,000, or S is one of M24, HS, J3, McL, Sz(32), or L6(2).

192 KB25/8/2003
BKLC.tar.gz

Data used by the best known linear codes and best known quantum codes databases.

1.99 MB17/12/2008
ecpp.tar.gz

Data needed by the elliptic curve primality proving routines.

4.80 MB22/8/2007
ECTable.tar.gz

John Cremona's database of all elliptic curves of conductor up to 499,999.

51.0 MB12/9/2019
factor.tar.gz

Data used internally by the integer factorisation routines.

2.72 MB2/12/2008
Fano.tar.gz

A database of Fano 3-folds.

6.87 KB2/11/2003
FldFin.tar.gz

Data used internally by the finite field creation routines.

1.07 MB28/6/2008
Galois.tar.gz

Data used in the computation of Galois groups of number fields.

637 KB17/9/2002
GQD.tar.gz

Data needed by the routines for working with analytic Jacobians of hyperelliptic curves.

500 KB12/5/2004
isolgps.tar.gz

Data used by the irreducible soluble subgroups database.

159 B20/7/2001
lattice.tar.gz

A database of interesting lattices.

712 KB20/11/2012
ldp.tar.gz

The classification of all LDP-polygons with index at most 17. See included README.txt for installation instructions.

137 KB13/12/2010
ModEq.tar.gz

Databases of classical, canonical, and Atkin modular polynomials.

14.9 MB16/7/2001
perfect_groups.tar.gz

All perfect groups up to order 50,000, and many classes up to order one million, defined by finite presentations with permutation representations.

27.9 KB30/9/2005
Prm2500.tar.gz

All primitive permutation groups of degree less than 2500.

5.25 MB3/12/2008
rational_groups.tar.gz

A database of rational maximal finite matrix groups and their invariant forms, for small dimensions (up to 31).

157 KB19/1/2001
small_groups.tar.gz

All groups of order up to 2000 (excl. order 1024); all groups whose order is the product of at most 3 primes; all groups of order dividing p6; all groups of order pqn where qn divides 28, 36, 55, or 74.

9.16 MB3/5/2002
smoothfano.tar.gz

All nonsingular Fano polytopes up to dimension 6: 5 classes (dim 2), 18 (dim 3), 124 (dim 4), 866 (dim 5), 7,622 (dim 6). See included README.txt for installation instructions.

223 KB13/12/2010
ssslie.tar.gz

The classification of the semisimple subalgebras of the simple Lie algebras of rank up to 8.

417 KB4/11/2011
terminal3.tar.gz

The classification of all 634 terminal Fano polytopes in dimension three. See included README.txt for installation instructions.

9.50 KB13/12/2010
TF.tar.gz

A database of groups with trivial Fitting subgroup, needed for the computation of conjugacy classes of subgroups.

766 KB20/5/2009
TrnGps.tar.gz

All transitive permutation groups up to degree 31.

1.27 MB27/5/2011