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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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298,491 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.0	3	11	165	39916800	✓	all	14	rational
3.11.1	3	11	164	241920	✓	all	13	rational
3.11.2	3	11	163	8640	✓	all	12	rational
3.11.3	3	11	162	2592	✓	all	11	rational
3.11.4	3	11	163	5760	✓	all	12	rational
3.11.5	3	11	162	288	✓	all	11	rational
3.11.6	3	11	161	576	✓	all	10	rational
3.11.7	3	11	161	128	✓	all	10	rational
3.11.8	3	11	162	192	✓	all	11	rational
3.11.9	3	11	161	48	✓	all	10	rational
3.11.10	3	11	161	16	✓	all	10	rational
3.11.11	3	11	160	8	✓	all	9	rational
3.11.12	3	11	160	10	✓	all	9	rational
3.11.13	3	11	161	96	✓	all	10	rational
3.11.14	3	11	160	16	✓	all	9	rational
3.11.15	3	11	161	48	✓	all	10	rational
3.11.16	3	11	160	48	✓	all	9	rational
3.11.17	3	11	160	4	✓	all	9	rational
3.11.18	3	11	159	4	✓	all	8	rational
3.11.19	3	11	159	4	✓	all	8	rational
3.11.20	3	11	160	24	✓	all	9	rational
3.11.21	3	11	159	8	✓	all	8	rational
3.11.22	3	11	159	8	✓	all	8	rational
3.11.23	3	11	158	8	✓	all	7	rational
3.11.24	3	11	159	144	✓	all	8	rational
3.11.25	3	11	162	1152	✓	all	11	rational
3.11.26	3	11	161	288	✓	all	10	rational
3.11.27	3	11	161	32	✓	all	10	rational
3.11.28	3	11	160	16	✓	all	9	rational
3.11.29	3	11	160	16	✓	all	9	rational
3.11.30	3	11	160	64	✓	all	9	rational
3.11.31	3	11	160	128	✓	all	9	rational
3.11.32	3	11	160	4	✓	all	9	rational
3.11.33	3	11	159	2	✓	all	8	rational
3.11.34	3	11	159	4	✓	all	8	rational
3.11.35	3	11	158	4	✓	all	7	rational
3.11.36	3	11	158	16	✓	all	7	rational
3.11.37	3	11	159	12	✓	all	8	rational
3.11.38	3	11	161	768	✓	all	10	rational
3.11.39	3	11	160	96	✓	all	9	rational
3.11.40	3	11	160	3840	✓	all	9	rational
3.11.41	3	11	162	720	✓	all	11	rational
3.11.42	3	11	161	72	✓	all	10	rational
3.11.43	3	11	160	48	✓	all	9	rational
3.11.44	3	11	161	24	✓	all	10	rational
3.11.45	3	11	160	24	✓	all	9	rational
3.11.46	3	11	160	4	✓	all	9	rational
3.11.47	3	11	159	8	✓	all	8	rational
3.11.48	3	11	160	8	✓	all	9	rational
3.11.49	3	11	159	2	✓	all	8	rational