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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 3,051–3,100

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.56426	3	11	155	6	✓	{2}	-1	empty
3.11.56427	3	11	154	2	✓	{2}	-1	empty
3.11.56428	3	11	154	1	✓	{2}	-1	empty
3.11.56429	3	11	153	1	✓	{2}	-1	empty
3.11.56430	3	11	153	4	✓	{2}	-1	empty
3.11.56431	3	11	154	2	✓	{2}	-1	empty
3.11.56432	3	11	153	2	✓	{2}	-1	empty
3.11.56433	3	11	153	2	✓	{2}	-1	empty
3.11.56434	3	11	152	8	✓	{2}	-1	empty
3.11.56435	3	11	153	2	✓	{2}	-1	empty
3.11.56436	3	11	152	2	✓	{2}	-1	empty
3.11.56437	3	11	153	4	✓	{2}	-1	empty
3.11.56438	3	11	152	8	✓	{2}	-1	empty
3.11.56439	3	11	152	4	✓	{2}	-1	empty
3.11.56440	3	11	152	24	✓	∅	-1	empty
3.11.56441	3	11	154	2	✓	{2}	-1	empty
3.11.56442	3	11	153	1	✓	{2}	-1	empty
3.11.56443	3	11	152	3	✓	{2}	-1	empty
3.11.56444	3	11	153	4	✓	{2}	-1	empty
3.11.56445	3	11	152	4	✓	{2}	-1	empty
3.11.56446	3	11	152	24	✓	∅	-1	empty
3.11.56447	3	11	155	24	✓	{2}	-1	empty
3.11.56448	3	11	154	2	✓	{2}	-1	empty
3.11.56449	3	11	153	1	✓	{2}	-1	empty
3.11.56450	3	11	152	3	✓	{2}	-1	empty
3.11.56451	3	11	153	4	✓	∅	-1	empty
3.11.56452	3	11	152	4	✓	∅	-1	empty
3.11.56453	3	11	152	24	✓	{2}	-1	empty
3.11.56454	3	11	154	8	✓	{2}	-1	empty
3.11.56455	3	11	153	1	✓	{2}	-1	empty
3.11.56456	3	11	152	4	✓	∅	-1	empty
3.11.56457	3	11	152	1	✓	{2}	-1	empty
3.11.56458	3	11	153	16	✓	∅	-1	empty
3.11.56459	3	11	152	4	✓	∅	-1	empty
3.11.56460	3	11	152	192	✓	{2}	-1	empty
3.11.56533	3	11	149	2	✗	{2}	-1	rational
3.11.56543	3	11	151	48	✗	∅	-1	rational
3.11.56549	3	11	149	2	✗	{2}	-1	rational
3.11.56567	3	11	148	96	✗	∅	-1	rational over Q(a)/(a^2 - a + 1)
3.11.56570	3	11	145	72	✗	{2}	-1	empty
3.11.56666	3	11	155	12	✓	∅	-1	rational
3.11.56727	3	11	157	16	✓	∅	-1	rational
3.11.56733	3	11	156	4	✓	∅	-1	rational
3.11.56734	3	11	155	4	✓	∅	-1	rational
3.11.56777	3	11	156	2	✓	{2}	-1	rational
3.11.56786	3	11	156	6	✓	{2}	-1	rational
3.11.56787	3	11	155	12	✓	{2}	-1	rational
3.11.56802	3	11	155	12	✓	{2}	-1	rational
3.11.57028	3	11	155	4	✓	{2}	-1	rational
3.11.57318	3	11	154	1	✓	{2}	-1	rational