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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 8,801–8,850

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.153388	3	11	150	1	✓	∅	-1	empty
3.11.153389	3	11	150	2	✓	∅	-1	empty
3.11.153390	3	11	151	1	✓	∅	-1	empty
3.11.153391	3	11	150	1	✓	∅	-1	empty
3.11.153392	3	11	150	1	✓	∅	-1	empty
3.11.153393	3	11	150	2	✓	∅	-1	empty
3.11.153394	3	11	151	1	✓	∅	-1	empty
3.11.153395	3	11	150	1	✓	∅	-1	empty
3.11.153396	3	11	150	1	✓	∅	-1	empty
3.11.153397	3	11	150	1	✓	∅	-1	empty
3.11.153398	3	11	150	1	✓	∅	-1	empty
3.11.153399	3	11	151	2	✓	∅	-1	empty
3.11.153400	3	11	148	6	✓	∅	-1	empty
3.11.153401	3	11	151	2	✓	∅	-1	empty
3.11.153402	3	11	150	1	✓	∅	-1	empty
3.11.153403	3	11	150	2	✓	∅	-1	empty
3.11.153404	3	11	149	2	✓	∅	-1	empty
3.11.153405	3	11	149	6	✓	∅	-1	empty
3.11.153406	3	11	152	2	✓	∅	-1	empty
3.11.153407	3	11	151	1	✓	∅	-1	empty
3.11.153408	3	11	150	2	✓	∅	-1	empty
3.11.153416	3	11	150	1	✓	∅	-1	empty
3.11.153419	3	11	151	1	✓	∅	-1	empty
3.11.153432	3	11	150	1	✓	∅	-1	empty
3.11.153436	3	11	150	2	✓	∅	-1	empty
3.11.153437	3	11	149	2	✓	{7}	-1	empty
3.11.153438	3	11	149	2	✓	∅	-1	empty
3.11.153439	3	11	152	4	✓	∅	-1	empty
3.11.153440	3	11	151	1	✓	∅	-1	empty
3.11.153441	3	11	150	2	✓	∅	-1	empty
3.11.153442	3	11	151	2	✓	∅	-1	empty
3.11.153443	3	11	150	1	✓	∅	-1	empty
3.11.153444	3	11	150	4	✓	∅	-1	empty
3.11.153445	3	11	151	1	✓	∅	-1	empty
3.11.153446	3	11	150	1	✓	∅	-1	empty
3.11.153447	3	11	150	1	✓	∅	-1	empty
3.11.153448	3	11	150	1	✓	∅	-1	empty
3.11.153449	3	11	150	2	✓	∅	-1	empty
3.11.153450	3	11	151	2	✓	∅	-1	empty
3.11.153451	3	11	150	1	✓	∅	-1	empty
3.11.153455	3	11	150	1	✓	∅	-1	empty
3.11.153458	3	11	149	2	✓	∅	-1	empty
3.11.153459	3	11	150	2	✓	∅	-1	empty
3.11.153460	3	11	149	2	✓	∅	-1	empty
3.11.153461	3	11	149	2	✓	∅	-1	empty
3.11.153462	3	11	149	6	✓	∅	-1	empty
3.11.153463	3	11	157	1728	✓	∅	-1	rational
3.11.153464	3	11	156	432	✓	{2}	-1	rational
3.11.153465	3	11	153	1728	✓	{2}	-1	rational
3.11.153466	3	11	156	48	✓	{2}	-1	rational