Matroid database

Rank 4 matroids on 10 elements

The complete enumeration n10r04: all 4,886,380,924 matroids of rank 4 on 10 elements up to isomorphism, one revlex basis encoding of length \(\binom{10}{4}\) = 210 per matroid. This is too many to load into the searchable database, so the data is offered as compressed chunk files for download.

Matroids4,886,380,924
Chunks49
Total size657.09 MiB
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 210-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 – 99,999,999100,000,00036.59 MiB2026-05-20 20:23:34
0100000000-0199999999.sz.xz 100,000,000 – 199,999,999100,000,00026.92 MiB2026-05-20 20:23:30
0200000000-0299999999.sz.xz 200,000,000 – 299,999,999100,000,00023.15 MiB2026-05-20 20:23:29
0300000000-0399999999.sz.xz 300,000,000 – 399,999,999100,000,00019.64 MiB2026-05-20 20:23:30
0400000000-0499999999.sz.xz 400,000,000 – 499,999,999100,000,00015.23 MiB2026-05-20 20:23:33
0500000000-0599999999.sz.xz 500,000,000 – 599,999,999100,000,00016.75 MiB2026-05-20 20:23:35
0600000000-0699999999.sz.xz 600,000,000 – 699,999,999100,000,00017.81 MiB2026-05-20 20:23:35
0700000000-0799999999.sz.xz 700,000,000 – 799,999,999100,000,00020.55 MiB2026-05-20 20:23:39
0800000000-0899999999.sz.xz 800,000,000 – 899,999,999100,000,00020.02 MiB2026-05-20 20:23:39
0900000000-0999999999.sz.xz 900,000,000 – 999,999,999100,000,00018.74 MiB2026-05-20 20:23:39
1000000000-1099999999.sz.xz 1,000,000,000 – 1,099,999,999100,000,00020.02 MiB2026-05-20 20:23:42
1100000000-1199999999.sz.xz 1,100,000,000 – 1,199,999,999100,000,00016.98 MiB2026-05-20 20:23:43
1200000000-1299999999.sz.xz 1,200,000,000 – 1,299,999,999100,000,00016.40 MiB2026-05-20 20:23:43
1300000000-1399999999.sz.xz 1,300,000,000 – 1,399,999,999100,000,00014.59 MiB2026-05-20 20:23:42
1400000000-1499999999.sz.xz 1,400,000,000 – 1,499,999,999100,000,00013.69 MiB2026-05-20 20:23:46
1500000000-1599999999.sz.xz 1,500,000,000 – 1,599,999,999100,000,00013.77 MiB2026-05-20 20:23:46
1600000000-1699999999.sz.xz 1,600,000,000 – 1,699,999,999100,000,00015.39 MiB2026-05-20 20:23:47
1700000000-1799999999.sz.xz 1,700,000,000 – 1,799,999,999100,000,00014.10 MiB2026-05-20 20:23:46
1800000000-1899999999.sz.xz 1,800,000,000 – 1,899,999,999100,000,00013.95 MiB2026-05-20 20:23:50
1900000000-1999999999.sz.xz 1,900,000,000 – 1,999,999,999100,000,00011.71 MiB2026-05-20 20:23:49
2000000000-2099999999.sz.xz 2,000,000,000 – 2,099,999,999100,000,00012.19 MiB2026-05-20 20:23:50
2100000000-2199999999.sz.xz 2,100,000,000 – 2,199,999,999100,000,00011.01 MiB2026-05-20 20:23:49
2200000000-2299999999.sz.xz 2,200,000,000 – 2,299,999,999100,000,00010.57 MiB2026-05-20 20:23:52
2300000000-2399999999.sz.xz 2,300,000,000 – 2,399,999,999100,000,00012.23 MiB2026-05-20 20:23:52
2400000000-2499999999.sz.xz 2,400,000,000 – 2,499,999,999100,000,00011.65 MiB2026-05-20 20:23:55
2500000000-2599999999.sz.xz 2,500,000,000 – 2,599,999,999100,000,00011.87 MiB2026-05-20 20:23:52
2600000000-2699999999.sz.xz 2,600,000,000 – 2,699,999,999100,000,00010.99 MiB2026-05-20 20:23:55
2700000000-2799999999.sz.xz 2,700,000,000 – 2,799,999,999100,000,0009.74 MiB2026-05-20 20:23:55
2800000000-2899999999.sz.xz 2,800,000,000 – 2,899,999,999100,000,0009.24 MiB2026-05-20 20:23:55
2900000000-2999999999.sz.xz 2,900,000,000 – 2,999,999,999100,000,0007.92 MiB2026-05-20 20:23:56
3000000000-3099999999.sz.xz 3,000,000,000 – 3,099,999,999100,000,0006.98 MiB2026-05-20 20:23:57
3100000000-3199999999.sz.xz 3,100,000,000 – 3,199,999,999100,000,0009.85 MiB2026-05-20 20:23:57
3200000000-3299999999.sz.xz 3,200,000,000 – 3,299,999,999100,000,00011.57 MiB2026-05-20 20:23:58
3300000000-3399999999.sz.xz 3,300,000,000 – 3,399,999,999100,000,0009.56 MiB2026-05-20 20:24:00
3400000000-3499999999.sz.xz 3,400,000,000 – 3,499,999,999100,000,00010.11 MiB2026-05-20 20:24:00
3500000000-3599999999.sz.xz 3,500,000,000 – 3,599,999,999100,000,00010.47 MiB2026-05-20 20:24:00
3600000000-3699999999.sz.xz 3,600,000,000 – 3,699,999,999100,000,0009.81 MiB2026-05-20 20:24:00
3700000000-3799999999.sz.xz 3,700,000,000 – 3,799,999,999100,000,0009.27 MiB2026-05-20 20:24:03
3800000000-3899999999.sz.xz 3,800,000,000 – 3,899,999,999100,000,0009.34 MiB2026-05-20 20:24:02
3900000000-3999999999.sz.xz 3,900,000,000 – 3,999,999,999100,000,0009.21 MiB2026-05-20 20:24:03
4000000000-4099999999.sz.xz 4,000,000,000 – 4,099,999,999100,000,0009.80 MiB2026-05-20 20:24:03
4100000000-4199999999.sz.xz 4,100,000,000 – 4,199,999,999100,000,0009.95 MiB2026-05-20 20:24:04
4200000000-4299999999.sz.xz 4,200,000,000 – 4,299,999,999100,000,0009.61 MiB2026-05-20 20:24:05
4300000000-4399999999.sz.xz 4,300,000,000 – 4,399,999,999100,000,0009.85 MiB2026-05-20 20:24:07
4400000000-4499999999.sz.xz 4,400,000,000 – 4,499,999,999100,000,0008.46 MiB2026-05-20 20:24:05
4500000000-4599999999.sz.xz 4,500,000,000 – 4,599,999,999100,000,0009.37 MiB2026-05-20 20:24:06
4600000000-4699999999.sz.xz 4,600,000,000 – 4,699,999,999100,000,0009.00 MiB2026-05-20 20:24:07
4700000000-4799999999.sz.xz 4,700,000,000 – 4,799,999,999100,000,0009.80 MiB2026-05-20 20:24:07
4800000000-4886380923.sz.xz 4,800,000,000 – 4,886,380,92386,380,92411.63 MiB2026-05-20 20:24:08