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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 2,901–2,950

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.994	3	10	108	3	✓	all	2	point over Q(a)/(a^3 - a^2 + 1)
3.10.995	3	10	112	96	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.996	3	10	111	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.997	3	10	111	12	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.998	3	10	110	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.999	3	10	110	8	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1000	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1001	3	10	110	8	✓	all	4	empty
3.10.1002	3	10	109	2	✓	all	4	empty
3.10.1003	3	10	109	4	✓	all	4	empty
3.10.1004	3	10	108	2	✓	all	4	empty
3.10.1005	3	10	108	16	✓	all	3	empty
3.10.1006	3	10	109	36	✓	all	3	empty
3.10.1007	3	10	108	12	✓	all	3	empty
3.10.1008	3	10	108	432	✓	all	1	rational over Q(a)/(a^2 - a + 1)
3.10.1009	3	10	116	576	✓	∅	-1	rational
3.10.1010	3	10	115	144	✓	∅	-1	rational
3.10.1011	3	10	115	16	✓	∅	-1	rational
3.10.1012	3	10	114	8	✓	all	2	rational
3.10.1013	3	10	114	32	✓	all	3	rational
3.10.1014	3	10	114	8	✓	all	2	rational
3.10.1015	3	10	114	32	✓	all	2	rational
3.10.1016	3	10	114	8	✓	all	1	rational
3.10.1017	3	10	113	8	✓	∅	-1	rational
3.10.1018	3	10	113	8	✓	all	1	rational
3.10.1019	3	10	112	64	✓	all	0	rational
3.10.1020	3	10	114	2	✓	all	4	rational
3.10.1021	3	10	113	2	✓	all	3	rational
3.10.1022	3	10	113	1	✓	all	3	rational
3.10.1023	3	10	112	4	✓	all	2	rational
3.10.1024	3	10	113	2	✓	all	2	rational
3.10.1025	3	10	112	8	✓	all	1	rational
3.10.1026	3	10	113	2	✓	∅	-1	rational
3.10.1027	3	10	113	2	✓	∅	-1	rational
3.10.1028	3	10	112	2	✓	∅	-1	rational
3.10.1029	3	10	112	1	✓	∅	-1	rational
3.10.1030	3	10	113	2	✓	∅	-1	rational
3.10.1031	3	10	112	4	✓	∅	-1	rational
3.10.1032	3	10	112	2	✓	∅	-1	rational
3.10.1033	3	10	112	4	✓	all	2	rational
3.10.1034	3	10	112	4	✓	all	8	rational
3.10.1035	3	10	113	2	✓	all	7	rational
3.10.1036	3	10	112	2	✓	all	7	rational
3.10.1037	3	10	113	6	✓	all	6	rational
3.10.1038	3	10	112	6	✓	all	6	rational
3.10.1039	3	10	113	6	✓	all	6	rational
3.10.1040	3	10	112	6	✓	all	6	rational
3.10.1041	3	10	113	2	✓	all	6	rational
3.10.1042	3	10	112	2	✓	all	5	rational
3.10.1043	3	10	112	1	✓	all	5	rational