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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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3,621,120 matroids, showing 13,601–13,650

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.55663	3	11	155	1	✓	all but 2	4	rational
3.11.55728	3	11	155	1	✓	all but 2	4	rational
3.11.55858	3	11	155	1	✓	all but 2	4	rational
3.11.56145	3	11	155	2	✓	all but 2	4	rational
3.11.56469	3	11	152	96	✗	all	4	rational
3.11.56474	3	11	152	32	✗	all	4	rational
3.11.56478	3	11	152	8	✗	all	4	rational
3.11.56480	3	11	150	24	✗	all	4	rational
3.11.56481	3	11	152	8	✗	all	4	rational
3.11.56485	3	11	152	16	✗	all	4	rational
3.11.56487	3	11	151	4	✗	all	4	rational
3.11.56490	3	11	150	2	✗	all	4	rational
3.11.56492	3	11	151	4	✗	all	4	rational
3.11.56493	3	11	150	4	✗	all	4	rational
3.11.56498	3	11	149	24	✗	all	4	rational
3.11.56502	3	11	148	24	✗	all	4	empty
3.11.56503	3	11	147	216	✗	all	4	rational
3.11.56505	3	11	151	8	✗	all	4	rational
3.11.56506	3	11	151	24	✗	all	4	rational
3.11.56507	3	11	151	8	✗	all	4	rational
3.11.56540	3	11	148	4	✗	all	4	rational
3.11.56547	3	11	149	4	✗	all	4	rational
3.11.56555	3	11	148	4	✗	all	4	rational
3.11.56556	3	11	149	4	✗	all	4	rational
3.11.56560	3	11	148	4	✗	all	4	rational
3.11.56562	3	11	147	4	✗	all	4	rational
3.11.56568	3	11	147	24	✗	all	4	rational over Q(a)/(a^2 - a + 1)
3.11.56582	3	11	150	16	✗	all	4	rational
3.11.56584	3	11	150	4	✗	all	4	rational
3.11.56591	3	11	149	4	✗	all	4	rational
3.11.56592	3	11	148	2	✗	all	4	rational
3.11.56593	3	11	148	4	✗	all	4	rational
3.11.56597	3	11	149	4	✗	all	4	rational
3.11.56608	3	11	147	4	✗	all	4	rational
3.11.56616	3	11	149	32	✗	all	4	rational
3.11.56619	3	11	148	4	✗	all	4	rational
3.11.56623	3	11	148	96	✗	all	4	empty
3.11.56624	3	11	120	3628800	✗	all	4	rational
3.11.56667	3	11	156	12	✓	all	4	rational
3.11.56696	3	11	157	8	✓	all	4	rational
3.11.56699	3	11	155	4	✓	all	4	rational
3.11.56701	3	11	156	2	✓	all	4	rational
3.11.56704	3	11	156	4	✓	all	4	rational
3.11.56715	3	11	155	2	✓	all	4	rational
3.11.56716	3	11	154	4	✓	all	4	rational
3.11.56718	3	11	154	3	✓	all	4	rational
3.11.56719	3	11	155	2	✓	all	4	rational
3.11.56721	3	11	154	4	✓	all	4	rational
3.11.56722	3	11	153	6	✓	all	4	rational
3.11.56724	3	11	154	12	✓	all	4	rational