Matroid database

Rank 3 matroids on 13 elements

The complete enumeration n13r03: all 9,156,392,629 matroids of rank 3 on 13 elements up to isomorphism, one revlex basis encoding of length \(\binom{13}{3}\) = 286 per matroid. This is too many to load into the searchable database, so the data is offered as compressed chunk files for download.

Matroids9,156,392,629
Chunks92
Total size2.56 GiB
Manifestmanifest.json (machine-readable list of chunks)

The enumeration was computed with matroid-generator by Giorgos Mousa. Tools for downloading and reading the chunks are in matroid-database-client.

View a matroid

Paste a line from a chunk (or any 286-character string of 0 and * describing a matroid) to see its combinatorics and, for rank 3, its affine diagram.

Chunks

FileIndex rangeMatroidsSizeUploaded (UTC)
0000000000-0099999999.sz.xz 0 – 99,999,999100,000,00050.86 MiB2026-05-20 17:44:33
0100000000-0199999999.sz.xz 100,000,000 – 199,999,999100,000,00043.27 MiB2026-05-20 17:44:36
0200000000-0299999999.sz.xz 200,000,000 – 299,999,999100,000,00039.45 MiB2026-05-20 17:44:33
0300000000-0399999999.sz.xz 300,000,000 – 399,999,999100,000,00035.98 MiB2026-05-20 17:44:32
0400000000-0499999999.sz.xz 400,000,000 – 499,999,999100,000,00032.30 MiB2026-05-20 17:44:37
0500000000-0599999999.sz.xz 500,000,000 – 599,999,999100,000,00029.46 MiB2026-05-20 17:44:36
0600000000-0699999999.sz.xz 600,000,000 – 699,999,999100,000,00033.08 MiB2026-05-20 17:44:37
0700000000-0799999999.sz.xz 700,000,000 – 799,999,999100,000,00030.71 MiB2026-05-20 17:44:40
0800000000-0899999999.sz.xz 800,000,000 – 899,999,999100,000,00027.62 MiB2026-05-20 17:44:40
0900000000-0999999999.sz.xz 900,000,000 – 999,999,999100,000,00023.08 MiB2026-05-20 17:44:41
1000000000-1099999999.sz.xz 1,000,000,000 – 1,099,999,999100,000,00023.73 MiB2026-05-20 17:44:40
1100000000-1199999999.sz.xz 1,100,000,000 – 1,199,999,999100,000,00029.84 MiB2026-05-20 17:44:44
1200000000-1299999999.sz.xz 1,200,000,000 – 1,299,999,999100,000,00030.47 MiB2026-05-20 17:44:44
1300000000-1399999999.sz.xz 1,300,000,000 – 1,399,999,999100,000,00027.95 MiB2026-05-20 17:44:44
1400000000-1499999999.sz.xz 1,400,000,000 – 1,499,999,999100,000,00027.38 MiB2026-05-20 17:44:44
1500000000-1599999999.sz.xz 1,500,000,000 – 1,599,999,999100,000,00028.21 MiB2026-05-20 17:44:46
1600000000-1699999999.sz.xz 1,600,000,000 – 1,699,999,999100,000,00026.96 MiB2026-05-20 17:44:47
1700000000-1799999999.sz.xz 1,700,000,000 – 1,799,999,999100,000,00026.87 MiB2026-05-20 17:44:47
1800000000-1899999999.sz.xz 1,800,000,000 – 1,899,999,999100,000,00024.40 MiB2026-05-20 17:44:47
1900000000-1999999999.sz.xz 1,900,000,000 – 1,999,999,999100,000,00029.59 MiB2026-05-20 17:44:50
2000000000-2099999999.sz.xz 2,000,000,000 – 2,099,999,999100,000,00031.45 MiB2026-05-20 17:44:51
2100000000-2199999999.sz.xz 2,100,000,000 – 2,199,999,999100,000,00026.13 MiB2026-05-20 17:44:50
2200000000-2299999999.sz.xz 2,200,000,000 – 2,299,999,999100,000,00023.82 MiB2026-05-20 17:44:51
2300000000-2399999999.sz.xz 2,300,000,000 – 2,399,999,999100,000,00025.52 MiB2026-05-20 17:44:54
2400000000-2499999999.sz.xz 2,400,000,000 – 2,499,999,999100,000,00026.02 MiB2026-05-20 17:44:53
2500000000-2599999999.sz.xz 2,500,000,000 – 2,599,999,999100,000,00026.46 MiB2026-05-20 17:44:54
2600000000-2699999999.sz.xz 2,600,000,000 – 2,699,999,999100,000,00025.36 MiB2026-05-20 17:44:53
2700000000-2799999999.sz.xz 2,700,000,000 – 2,799,999,999100,000,00025.64 MiB2026-05-20 17:44:55
2800000000-2899999999.sz.xz 2,800,000,000 – 2,899,999,999100,000,00027.95 MiB2026-05-20 17:44:58
2900000000-2999999999.sz.xz 2,900,000,000 – 2,999,999,999100,000,00029.05 MiB2026-05-20 17:44:57
3000000000-3099999999.sz.xz 3,000,000,000 – 3,099,999,999100,000,00029.13 MiB2026-05-20 17:44:58
3100000000-3199999999.sz.xz 3,100,000,000 – 3,199,999,999100,000,00026.78 MiB2026-05-20 17:44:58
3200000000-3299999999.sz.xz 3,200,000,000 – 3,299,999,999100,000,00027.19 MiB2026-05-20 17:45:00
3300000000-3399999999.sz.xz 3,300,000,000 – 3,399,999,999100,000,00028.08 MiB2026-05-20 17:45:01
3400000000-3499999999.sz.xz 3,400,000,000 – 3,499,999,999100,000,00027.66 MiB2026-05-20 17:45:01
3500000000-3599999999.sz.xz 3,500,000,000 – 3,599,999,999100,000,00025.57 MiB2026-05-20 17:45:02
3600000000-3699999999.sz.xz 3,600,000,000 – 3,699,999,999100,000,00021.00 MiB2026-05-20 17:45:03
3700000000-3799999999.sz.xz 3,700,000,000 – 3,799,999,999100,000,00024.79 MiB2026-05-20 17:45:04
3800000000-3899999999.sz.xz 3,800,000,000 – 3,899,999,999100,000,00023.29 MiB2026-05-20 17:45:04
3900000000-3999999999.sz.xz 3,900,000,000 – 3,999,999,999100,000,00022.04 MiB2026-05-20 17:45:04
4000000000-4099999999.sz.xz 4,000,000,000 – 4,099,999,999100,000,00023.30 MiB2026-05-20 17:45:06
4100000000-4199999999.sz.xz 4,100,000,000 – 4,199,999,999100,000,00022.86 MiB2026-05-20 17:45:06
4200000000-4299999999.sz.xz 4,200,000,000 – 4,299,999,999100,000,00025.25 MiB2026-05-20 17:45:06
4300000000-4399999999.sz.xz 4,300,000,000 – 4,399,999,999100,000,00026.21 MiB2026-05-20 17:45:07
4400000000-4499999999.sz.xz 4,400,000,000 – 4,499,999,999100,000,00026.71 MiB2026-05-20 17:45:09
4500000000-4599999999.sz.xz 4,500,000,000 – 4,599,999,999100,000,00029.46 MiB2026-05-20 17:45:10
4600000000-4699999999.sz.xz 4,600,000,000 – 4,699,999,999100,000,00028.57 MiB2026-05-20 17:45:09
4700000000-4799999999.sz.xz 4,700,000,000 – 4,799,999,999100,000,00027.45 MiB2026-05-20 17:45:12
4800000000-4899999999.sz.xz 4,800,000,000 – 4,899,999,999100,000,00028.79 MiB2026-05-20 17:45:12
4900000000-4999999999.sz.xz 4,900,000,000 – 4,999,999,999100,000,00027.91 MiB2026-05-20 17:45:13
5000000000-5099999999.sz.xz 5,000,000,000 – 5,099,999,999100,000,00025.55 MiB2026-05-20 17:45:13
5100000000-5199999999.sz.xz 5,100,000,000 – 5,199,999,999100,000,00026.43 MiB2026-05-20 17:45:15
5200000000-5299999999.sz.xz 5,200,000,000 – 5,299,999,999100,000,00027.44 MiB2026-05-20 17:45:14
5300000000-5399999999.sz.xz 5,300,000,000 – 5,399,999,999100,000,00028.64 MiB2026-05-20 17:45:16
5400000000-5499999999.sz.xz 5,400,000,000 – 5,499,999,999100,000,00027.00 MiB2026-05-20 17:45:17
5500000000-5599999999.sz.xz 5,500,000,000 – 5,599,999,999100,000,00027.79 MiB2026-05-20 17:45:18
5600000000-5699999999.sz.xz 5,600,000,000 – 5,699,999,999100,000,00025.65 MiB2026-05-20 17:45:17
5700000000-5799999999.sz.xz 5,700,000,000 – 5,799,999,999100,000,00028.26 MiB2026-05-20 17:45:20
5800000000-5899999999.sz.xz 5,800,000,000 – 5,899,999,999100,000,00027.95 MiB2026-05-20 17:45:20
5900000000-5999999999.sz.xz 5,900,000,000 – 5,999,999,999100,000,00030.01 MiB2026-05-20 17:45:20
6000000000-6099999999.sz.xz 6,000,000,000 – 6,099,999,999100,000,00028.15 MiB2026-05-20 17:45:21
6100000000-6199999999.sz.xz 6,100,000,000 – 6,199,999,999100,000,00028.85 MiB2026-05-20 17:45:24
6200000000-6299999999.sz.xz 6,200,000,000 – 6,299,999,999100,000,00030.80 MiB2026-05-20 17:45:24
6300000000-6399999999.sz.xz 6,300,000,000 – 6,399,999,999100,000,00029.75 MiB2026-05-20 17:45:25
6400000000-6499999999.sz.xz 6,400,000,000 – 6,499,999,999100,000,00026.50 MiB2026-05-20 17:45:24
6500000000-6599999999.sz.xz 6,500,000,000 – 6,599,999,999100,000,00027.76 MiB2026-05-20 17:45:26
6600000000-6699999999.sz.xz 6,600,000,000 – 6,699,999,999100,000,00028.15 MiB2026-05-20 17:45:26
6700000000-6799999999.sz.xz 6,700,000,000 – 6,799,999,999100,000,00029.65 MiB2026-05-20 17:45:29
6800000000-6899999999.sz.xz 6,800,000,000 – 6,899,999,999100,000,00025.66 MiB2026-05-20 17:45:28
6900000000-6999999999.sz.xz 6,900,000,000 – 6,999,999,999100,000,00027.26 MiB2026-05-20 17:45:29
7000000000-7099999999.sz.xz 7,000,000,000 – 7,099,999,999100,000,00026.89 MiB2026-05-20 17:45:29
7100000000-7199999999.sz.xz 7,100,000,000 – 7,199,999,999100,000,00025.02 MiB2026-05-20 17:45:31
7200000000-7299999999.sz.xz 7,200,000,000 – 7,299,999,999100,000,00028.38 MiB2026-05-20 17:45:33
7300000000-7399999999.sz.xz 7,300,000,000 – 7,399,999,999100,000,00030.38 MiB2026-05-20 17:45:33
7400000000-7499999999.sz.xz 7,400,000,000 – 7,499,999,999100,000,00027.22 MiB2026-05-20 17:45:32
7500000000-7599999999.sz.xz 7,500,000,000 – 7,599,999,999100,000,00032.04 MiB2026-05-20 17:45:35
7600000000-7699999999.sz.xz 7,600,000,000 – 7,699,999,999100,000,00030.92 MiB2026-05-20 17:45:37
7700000000-7799999999.sz.xz 7,700,000,000 – 7,799,999,999100,000,00030.71 MiB2026-05-20 17:45:36
7800000000-7899999999.sz.xz 7,800,000,000 – 7,899,999,999100,000,00025.38 MiB2026-05-20 17:45:36
7900000000-7999999999.sz.xz 7,900,000,000 – 7,999,999,999100,000,00027.38 MiB2026-05-20 17:45:40
8000000000-8099999999.sz.xz 8,000,000,000 – 8,099,999,999100,000,00030.49 MiB2026-05-20 17:45:39
8100000000-8199999999.sz.xz 8,100,000,000 – 8,199,999,999100,000,00033.33 MiB2026-05-20 17:45:39
8200000000-8299999999.sz.xz 8,200,000,000 – 8,299,999,999100,000,00037.61 MiB2026-05-20 17:45:42
8300000000-8399999999.sz.xz 8,300,000,000 – 8,399,999,999100,000,00031.60 MiB2026-05-20 17:45:43
8400000000-8499999999.sz.xz 8,400,000,000 – 8,499,999,999100,000,00028.09 MiB2026-05-20 17:45:42
8500000000-8599999999.sz.xz 8,500,000,000 – 8,599,999,999100,000,00024.63 MiB2026-05-20 17:45:43
8600000000-8699999999.sz.xz 8,600,000,000 – 8,699,999,999100,000,00027.90 MiB2026-05-20 17:45:46
8700000000-8799999999.sz.xz 8,700,000,000 – 8,799,999,999100,000,00030.04 MiB2026-05-20 17:45:47
8800000000-8899999999.sz.xz 8,800,000,000 – 8,899,999,999100,000,00032.07 MiB2026-05-20 17:45:48
8900000000-8999999999.sz.xz 8,900,000,000 – 8,999,999,999100,000,00037.80 MiB2026-05-20 17:45:52
9000000000-9099999999.sz.xz 9,000,000,000 – 9,099,999,999100,000,00031.19 MiB2026-05-20 17:45:54
9100000000-9156392628.sz.xz 9,100,000,000 – 9,156,392,62856,392,62925.53 MiB2026-05-20 17:45:54