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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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2,017,782 matroids, showing 9,451–9,500

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.296310	3	11	102	72	✗	all but 3	rational
3.11.296451	3	11	71	72	✗	all but 2,5	rational
3.11.296489	3	11	87	4	✗	all but 2,3	rational
3.11.296542	3	11	78	16	✗	all but 2,3	rational
3.11.296548	3	11	72	64	✗	all but 2,3	rational
3.11.296554	3	11	86	64	✗	all but 3	rational
3.11.296576	3	11	78	64	✗	all but 2,3	rational
3.11.296595	3	11	70	16	✗	all but 2	rational
3.11.296703	3	11	98	288	✗	all	rational
3.11.296721	3	11	96	192	✗	all	rational
3.11.296757	3	11	93	192	✗	all but 2,5	rational
3.11.296798	3	11	80	288	✗	all	rational
3.11.296940	3	11	74	24	✗	all	rational
3.11.296976	3	11	72	72	✗	all	rational
3.11.296984	3	11	63	72	✗	all	rational
3.11.296988	3	11	60	576	✗	all but 2,5	rational
3.11.297000	3	11	68	8	✗	all	rational
3.11.297010	3	11	65	16	✗	all	rational
3.11.297053	3	11	63	96	✗	all but 3	rational
3.11.297082	3	11	62	16	✗	all	rational
3.11.297083	3	11	60	32	✗	all but 2,3	rational
3.11.297084	3	11	60	32	✗	all but 2,3	rational
3.11.297095	3	11	58	16	✗	all	rational
3.11.297099	3	11	58	16	✗	all but 2	rational
3.11.297109	3	11	52	128	✗	all but 2,3	rational
3.11.297122	3	11	48	6912	✗	all but 2,3	rational
3.11.297127	3	11	50	24	✗	all but 2,3	rational
3.11.297166	3	11	84	240	✗	all but 2,3	rational
3.11.297168	3	11	79	720	✗	all but 2,3	rational
3.11.297208	3	11	75	288	✗	all but 2,3	rational
3.11.297217	3	11	72	192	✗	all but 2,3	rational
3.11.297235	3	11	65	144	✗	all	rational
3.11.297236	3	11	68	192	✗	all but 2,3	rational
3.11.297237	3	11	64	576	✗	all but 2,3	empty
3.11.297260	3	11	56	1152	✗	all but 2	rational
3.11.297272	3	11	60	24	✗	all but 2,3	rational
3.11.297290	3	11	57	48	✗	all but 3	rational
3.11.297309	3	11	52	24	✗	all but 2	rational
3.11.297335	3	11	44	576	✗	all	rational
3.11.297339	3	11	44	48	✗	all but 2,3	rational
3.11.297341	3	11	44	24	✗	all but 2,3	rational
3.11.297352	3	11	43	288	✗	all but 3	rational
3.11.297381	3	11	66	17280	✗	all	rational
3.11.297391	3	11	46	1152	✗	all but 2	rational
3.11.297413	3	11	104	96	✗	all	rational
3.11.297416	3	11	104	2880	✗	all	rational
3.11.297459	3	11	93	64	✗	all	rational
3.11.297474	3	11	100	4320	✗	all	rational
3.11.297480	3	11	97	1440	✗	all	rational
3.11.297495	3	11	94	24	✗	all	rational