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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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32,400,859 matroids, showing 3,651–3,700

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.1744	3	10	112	8	✓	all but 2	3	rational
3.10.1745	3	10	111	4	✓	all but 2	2	rational
3.10.1746	3	10	111	4	✓	all but 2	1	rational
3.10.1747	3	10	110	6	✓	all but 2	2	rational
3.10.1748	3	10	110	16	✓	all but 2	1	rational
3.10.1749	3	10	109	24	✓	∅	-1	rational
3.10.1750	3	10	114	96	✓	all but 2	2	rational
3.10.1751	3	10	113	24	✓	all but 2,3	1	rational
3.10.1752	3	10	113	32	✓	all but 2	1	rational
3.10.1753	3	10	113	288	✓	all but 2	2	rational
3.10.1754	3	10	113	12	✓	all but 2	1	rational
3.10.1755	3	10	112	6	✓	all but 2	1	rational
3.10.1756	3	10	112	4	✓	all but 2	1	rational
3.10.1757	3	10	112	36	✓	all but 2	2	rational
3.10.1758	3	10	112	24	✓	∅	-1	rational
3.10.1759	3	10	111	8	✓	all but 2	1	rational
3.10.1760	3	10	111	72	✓	all but 2	1	rational
3.10.1761	3	10	112	12	✓	all but 2	0	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
3.10.1769	3	10	110	36	✓	all	10	rational
3.10.1770	3	10	110	48	✓	all	9	rational
3.10.1771	3	10	109	16	✓	all	8	rational
3.10.1772	3	10	109	144	✓	all	8	empty
3.10.1773	3	10	114	24	✓	all	7	rational
3.10.1774	3	10	113	24	✓	all	7	rational
3.10.1775	3	10	113	4	✓	all	6	rational
3.10.1776	3	10	112	4	✓	all	7	rational
3.10.1777	3	10	110	12	✓	all	7	rational
3.10.1778	3	10	113	8	✓	all	6	rational
3.10.1779	3	10	112	2	✓	all	6	rational
3.10.1780	3	10	111	4	✓	all	6	rational
3.10.1781	3	10	110	24	✓	all	5	rational
3.10.1782	3	10	113	4	✓	all	5	rational
3.10.1783	3	10	112	1	✓	all	4	rational
3.10.1784	3	10	111	2	✓	all	6	rational
3.10.1785	3	10	112	2	✓	all	5	rational
3.10.1786	3	10	111	1	✓	all	5	rational
3.10.1787	3	10	112	8	✓	all	4	rational
3.10.1788	3	10	113	4	✓	all	5	rational
3.10.1789	3	10	112	2	✓	all	4	rational
3.10.1790	3	10	112	2	✓	all	3	rational
3.10.1791	3	10	111	2	✓	all	2	rational
3.10.1792	3	10	112	2	✓	all	6	rational
3.10.1793	3	10	111	2	✓	all	5	rational