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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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142 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.1653	3	10	110	2	✓	{5}	-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
3.10.1763	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
3.10.2527	3	10	109	2	✓	{2}	-1	rational
3.10.2821	3	10	112	4	✓	{2}	-1	rational
3.10.2841	3	10	112	4	✓	{2}	-1	rational
3.10.3365	3	10	108	1	✓	{2}	-1	rational
3.10.3371	3	10	108	1	✓	{2}	-1	rational
3.10.3580	3	10	107	1	✓	{2}	-1	empty
3.10.3707	3	10	109	4	✓	{2}	-1	rational
3.10.3746	3	10	108	1	✓	{2}	-1	rational
3.10.3763	3	10	109	2	✓	{5}	-1	rational
3.10.3766	3	10	108	1	✓	{2}	-1	rational
3.10.3925	3	10	108	2	✓	{3}	-1	rational
3.10.3964	3	10	107	1	✓	{2}	-1	rational
3.10.3965	3	10	107	2	✓	{2}	-1	rational
3.10.3966	3	10	107	1	✓	{2}	-1	rational
3.10.3967	3	10	107	2	✓	{2}	-1	rational
3.10.3968	3	10	106	12	✓	{2}	-1	rational
3.10.3969	3	10	108	4	✓	{2}	-1	rational
3.10.3970	3	10	107	1	✓	{2}	-1	rational
3.10.3971	3	10	106	2	✓	{2}	-1	rational
3.10.3972	3	10	106	2	✓	{2}	-1	rational
3.10.3973	3	10	105	36	✓	{2}	-1	rational
3.10.3974	3	10	110	4	✓	{2}	-1	rational
3.10.4638	3	10	106	2	✓	{2}	-1	rational
3.10.4640	3	10	106	1	✓	{2}	-1	rational
3.10.4705	3	10	104	1	✓	{2}	-1	rational
3.10.4706	3	10	104	2	✓	{2}	-1	rational
3.10.4707	3	10	104	1	✓	{2}	-1	rational
3.10.4708	3	10	103	1	✓	{2}	-1	rational
3.10.4709	3	10	104	6	✓	{2}	-1	empty
3.10.4710	3	10	106	12	✓	{2}	-1	rational
3.10.4711	3	10	105	2	✓	{2}	-1	rational
3.10.4712	3	10	104	2	✓	{2}	-1	rational
3.10.4713	3	10	103	6	✓	{2}	-1	rational
3.10.4751	3	10	106	4	✓	{2}	-1	rational
3.10.4770	3	10	105	1	✓	{2}	-1	rational
3.10.4886	3	10	103	4	✓	{5}	-1	rational
3.10.4900	3	10	104	2	✓	{3}	-1	rational
3.10.4901	3	10	103	1	✓	{3}	-1	rational