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Size rank n

Invariants Bases Automorphisms Dimension of realization space Girth Expected dimension over ℤ

Realizability realizable in char 0 realizable in characteristic char set class birational type

Properties Simple Connected Paving Uniform Regular Binary Ternary Quaternary Graphic Transversal Series parallel Self dual Orientable Supersolvable Three lines Free realization space Realization space: smooth over ℤ Realization space: is regular scheme

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4,237,950 matroids, showing 51–100

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.1029	3	10	112	1	✓	∅	-1	rational
3.10.1030	3	10	113	2	✓	∅	-1	rational
3.10.1031	3	10	112	4	✓	∅	-1	rational
3.10.1032	3	10	112	2	✓	∅	-1	rational
3.10.1098	3	10	112	2	✓	∅	-1	rational
3.10.1107	3	10	113	2	✓	∅	-1	rational
3.10.1219	3	10	111	1	✓	∅	-1	rational
3.10.1306	3	10	111	1	✓	∅	-1	rational
3.10.1314	3	10	111	2	✓	∅	-1	rational
3.10.1321	3	10	110	1	✓	∅	-1	rational
3.10.1358	3	10	111	1	✓	∅	-1	rational
3.10.1361	3	10	110	1	✓	∅	-1	rational
3.10.1363	3	10	111	1	✓	∅	-1	rational
3.10.1448	3	10	110	3	✓	∅	-1	rational
3.10.1459	3	10	112	8	✓	∅	-1	rational
3.10.1462	3	10	112	2	✓	∅	-1	rational
3.10.1561	3	10	111	2	✓	∅	-1	rational
3.10.1566	3	10	110	1	✓	∅	-1	rational
3.10.1569	3	10	110	1	✓	∅	-1	rational
3.10.1570	3	10	110	1	✓	∅	-1	rational
3.10.1571	3	10	109	1	✓	∅	-1	rational
3.10.1589	3	10	109	1	✓	∅	-1	rational
3.10.1592	3	10	108	1	✓	∅	-1	point over Q(a)/(a^2 - a + 1)
3.10.1593	3	10	108	1	✓	∅	-1	rational
3.10.1594	3	10	109	1	✓	∅	-1	rational
3.10.1603	3	10	110	12	✓	∅	-1	empty
3.10.1608	3	10	114	144	✓	∅	-1	rational
3.10.1633	3	10	111	2	✓	∅	-1	rational
3.10.1653	3	10	110	2	✓	{5}	-1	rational
3.10.1654	3	10	111	24	✓	∅	-1	rational
3.10.1655	3	10	110	24	✓	{2}	-1	rational
3.10.1656	3	10	111	2	✓	{2}	-1	rational
3.10.1657	3	10	110	1	✓	{2}	-1	rational
3.10.1658	3	10	109	2	✓	∅	-1	rational
3.10.1659	3	10	110	1	✓	∅	-1	rational
3.10.1749	3	10	109	24	✓	∅	-1	rational
3.10.1758	3	10	112	24	✓	∅	-1	rational
3.10.1762	3	10	111	12	✓	∅	-1	rational
3.10.1763	3	10	111	4	✓	{2}	-1	rational
3.10.1764	3	10	112	24	✓	{2}	-1	rational
3.10.1765	3	10	111	8	✓	{2}	-1	rational
3.10.1766	3	10	111	24	✓	{2}	-1	rational
3.10.1767	3	10	111	12	✓	{2}	-1	rational
3.10.1768	3	10	110	4	✓	{2}	-1	rational
3.10.1800	3	10	112	8	✓	{2}	-1	rational
3.10.1860	3	10	110	1	✓	{2}	-1	rational
3.10.2011	3	10	110	1	✓	∅	-1	rational
3.10.2014	3	10	109	1	✓	∅	-1	rational
3.10.2015	3	10	109	1	✓	∅	-1	rational
3.10.2478	3	10	110	4	✓	∅	-1	rational