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 6,701–6,750

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.4794	3	10	106	2	✓	all	2	rational
3.10.4795	3	10	105	2	✓	all	2	rational
3.10.4796	3	10	105	1	✓	all	2	rational
3.10.4797	3	10	105	2	✓	all	3	rational
3.10.4798	3	10	105	2	✓	all	2	rational
3.10.4799	3	10	104	1	✓	all	2	point over Q(a)/(a^2 - a - 1)
3.10.4800	3	10	105	2	✓	all	2	rational
3.10.4801	3	10	104	2	✓	all	2	empty
3.10.4802	3	10	104	2	✓	all	2	point over Q(a)/(a^2 + 1)
3.10.4803	3	10	104	2	✓	all	3	rational
3.10.4804	3	10	104	1	✓	all but 2	3	rational
3.10.4805	3	10	103	1	✓	all but 2	2	rational
3.10.4806	3	10	103	2	✓	all but 2	2	rational
3.10.4807	3	10	106	2	✓	all but 2	2	rational
3.10.4808	3	10	105	1	✓	all but 2	2	rational
3.10.4809	3	10	103	2	✓	all but 2	1	rational
3.10.4810	3	10	105	2	✓	all but 2	1	rational
3.10.4811	3	10	102	2	✓	all but 2	1	rational
3.10.4812	3	10	105	1	✓	all but 2	2	rational
3.10.4813	3	10	104	1	✓	all but 2	1	rational
3.10.4814	3	10	102	2	✓	all	8	empty
3.10.4815	3	10	104	2	✓	all	7	empty
3.10.4816	3	10	101	12	✓	all but 2	1	rational
3.10.4817	3	10	105	2	✓	all but 2	2	rational
3.10.4818	3	10	104	1	✓	all but 2	1	rational
3.10.4819	3	10	102	6	✓	all but 2	1	rational
3.10.4820	3	10	104	1	✓	all but 2	1	rational
3.10.4821	3	10	103	1	✓	all but 2	1	empty
3.10.4822	3	10	103	1	✓	all but 2	2	rational
3.10.4823	3	10	102	1	✓	all	3	rational
3.10.4824	3	10	106	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4825	3	10	105	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4826	3	10	105	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4827	3	10	105	4	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4828	3	10	104	4	✓	all	6	empty
3.10.4829	3	10	104	2	✓	all	1	point over Q(a)/(a^2 - a + 1)
3.10.4830	3	10	104	4	✓	all	7	empty
3.10.4831	3	10	103	4	✓	all	6	empty
3.10.4832	3	10	103	2	✓	all	6	empty
3.10.4833	3	10	103	36	✓	all	6	empty
3.10.4834	3	10	102	36	✓	all	2	point over Q(a)/(a^2 - a + 1)
3.10.4835	3	10	105	12	✓	all	1	empty
3.10.4836	3	10	102	12	✓	all	1	empty
3.10.4837	3	10	104	4	✓	all but 2	1	empty
3.10.4838	3	10	101	4	✓	all	6	empty
3.10.4839	3	10	103	4	✓	all	6	empty
3.10.4840	3	10	100	12	✓	all	5	empty
3.10.4841	3	10	102	12	✓	all	5	empty
3.10.4842	3	10	99	108	✓	all	2	empty
3.10.4843	3	10	107	4	✓	∅	-1	rational