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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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32,400,859 matroids, showing 8,701–8,750

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.6794	3	10	102	2	✓	all	5	rational
3.10.6795	3	10	102	1	✓	all	4	rational
3.10.6796	3	10	101	2	✓	all	4	empty
3.10.6797	3	10	100	20	✓	all	5	point over Q(a)/(a^2 - a - 1)
3.10.6798	3	10	102	2	✓	all	6	rational
3.10.6799	3	10	105	8	✓	all	5	rational
3.10.6800	3	10	104	8	✓	all	5	rational
3.10.6801	3	10	104	2	✓	all	4	rational
3.10.6802	3	10	103	4	✓	all	5	rational
3.10.6803	3	10	104	4	✓	all	4	rational
3.10.6804	3	10	103	2	✓	all	4	rational
3.10.6805	3	10	104	2	✓	all	5	rational
3.10.6806	3	10	103	2	✓	all	6	rational
3.10.6807	3	10	103	1	✓	all	5	rational
3.10.6808	3	10	103	1	✓	all	5	rational
3.10.6809	3	10	102	1	✓	all	5	rational
3.10.6810	3	10	103	4	✓	all	5	rational
3.10.6811	3	10	102	4	✓	all	5	rational
3.10.6812	3	10	102	2	✓	all	4	rational
3.10.6813	3	10	104	8	✓	all	4	rational
3.10.6814	3	10	103	2	✓	all	4	rational
3.10.6815	3	10	103	2	✓	all	5	rational
3.10.6816	3	10	102	1	✓	all	4	rational
3.10.6817	3	10	102	2	✓	all	4	rational
3.10.6818	3	10	102	2	✓	all	4	rational
3.10.6819	3	10	101	1	✓	all	4	rational
3.10.6820	3	10	104	48	✓	all	4	empty
3.10.6821	3	10	103	6	✓	all	3	empty
3.10.6822	3	10	102	4	✓	all	3	empty
3.10.6823	3	10	106	288	✓	all	4	rational
3.10.6824	3	10	105	96	✓	all	3	rational
3.10.6825	3	10	105	72	✓	all	3	rational
3.10.6826	3	10	105	288	✓	all	5	rational
3.10.6827	3	10	105	12	✓	all	4	rational
3.10.6828	3	10	104	6	✓	all	4	rational
3.10.6829	3	10	104	4	✓	all	3	rational
3.10.6830	3	10	104	12	✓	all	3	rational
3.10.6831	3	10	104	4	✓	all	6	rational
3.10.6832	3	10	103	4	✓	all	5	rational
3.10.6833	3	10	103	2	✓	all	5	rational
3.10.6834	3	10	103	4	✓	all	5	rational
3.10.6835	3	10	104	12	✓	all	5	rational
3.10.6836	3	10	103	12	✓	all	5	rational
3.10.6837	3	10	103	4	✓	all	4	rational
3.10.6838	3	10	103	12	✓	all	4	rational
3.10.6839	3	10	104	8	✓	all	4	rational
3.10.6840	3	10	103	4	✓	all	4	rational
3.10.6841	3	10	103	4	✓	all	5	rational
3.10.6842	3	10	103	8	✓	all	4	rational
3.10.6843	3	10	102	48	✓	all	4	rational