Search

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

reset

32,400,859 matroids, showing 4,701–4,750

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.2794	3	10	109	1	✓	all	3	rational
3.10.2795	3	10	108	1	✓	all	3	rational
3.10.2796	3	10	108	1	✓	all	2	rational
3.10.2797	3	10	108	1	✓	all	2	rational
3.10.2798	3	10	109	1	✓	all	3	rational
3.10.2799	3	10	108	1	✓	all but 2	2	rational
3.10.2800	3	10	108	1	✓	all	2	rational
3.10.2801	3	10	108	1	✓	all	2	rational
3.10.2802	3	10	107	2	✓	all	3	rational
3.10.2803	3	10	108	3	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2804	3	10	109	2	✓	all	3	rational
3.10.2805	3	10	108	2	✓	all	2	rational
3.10.2806	3	10	108	2	✓	all	2	rational
3.10.2807	3	10	108	2	✓	all	2	rational
3.10.2808	3	10	107	4	✓	all	2	empty
3.10.2809	3	10	108	48	✓	all but 2	1	rational
3.10.2810	3	10	107	4	✓	all	2	rational
3.10.2811	3	10	106	4	✓	all but 2	1	rational
3.10.2812	3	10	106	2	✓	all	3	rational
3.10.2813	3	10	105	2	✓	all	2	rational
3.10.2814	3	10	104	16	✓	all but 2	2	point over Q(a)/(a^2 + 1)
3.10.2815	3	10	105	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2816	3	10	106	8	✓	all but 2	1	rational
3.10.2817	3	10	105	4	✓	all	3	empty
3.10.2818	3	10	104	32	✓	all	2	rational
3.10.2819	3	10	113	36	✓	all but 2	1	rational
3.10.2820	3	10	112	36	✓	all but 2	2	rational
3.10.2821	3	10	112	4	✓	{2}	-1	rational
3.10.2822	3	10	111	2	✓	all	2	rational
3.10.2823	3	10	110	6	✓	all	1	rational
3.10.2824	3	10	109	12	✓	all	1	rational
3.10.2825	3	10	112	12	✓	all	3	rational
3.10.2826	3	10	111	2	✓	all	2	rational
3.10.2827	3	10	110	2	✓	all	2	rational
3.10.2828	3	10	112	4	✓	all but 2	1	rational
3.10.2829	3	10	111	2	✓	all	2	rational
3.10.2830	3	10	111	1	✓	all	2	rational
3.10.2831	3	10	110	1	✓	∅	-1	rational
3.10.2832	3	10	110	2	✓	all	1	rational
3.10.2833	3	10	111	2	✓	∅	-1	rational
3.10.2834	3	10	110	2	✓	all but 2	1	rational
3.10.2835	3	10	110	1	✓	∅	-1	rational
3.10.2836	3	10	111	2	✓	∅	-1	rational
3.10.2837	3	10	110	1	✓	all but 2	1	rational
3.10.2838	3	10	110	2	✓	∅	-1	rational
3.10.2839	3	10	110	4	✓	all but 2	0	rational
3.10.2840	3	10	110	12	✓	∅	-1	rational
3.10.2841	3	10	112	4	✓	{2}	-1	rational
3.10.2842	3	10	111	4	✓	all	5	rational
3.10.2843	3	10	111	2	✓	all	4	rational