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 11,551–11,600

label ▼	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
4.9.178663	4	9	109	1	✓	all	3	rational
4.9.178662	4	9	109	1	✓	∅	-1	rational
4.9.178661	4	9	110	1	✓	∅	-1	rational
4.9.178660	4	9	109	1	✓	all	4	rational
4.9.178659	4	9	110	1	✓	all	2	rational
4.9.178658	4	9	110	1	✓	all	2	rational
4.9.178657	4	9	111	2	✓	∅	-1	rational
4.9.178656	4	9	110	16	✓	∅	-1	rational
4.9.178655	4	9	111	16	✓	∅	-1	rational
4.9.178654	4	9	110	8	✓	all but 2,3	0	rational
4.9.178653	4	9	111	8	✓	all but 2	0	rational
4.9.178652	4	9	110	16	✓	∅	-1	rational
4.9.178651	4	9	111	16	✓	∅	-1	rational
4.9.178650	4	9	106	4	✓	all but 2,3	1	rational
4.9.178649	4	9	110	2	✓	∅	-1	rational
4.9.178648	4	9	110	2	✓	all	2	rational
4.9.178647	4	9	111	4	✓	∅	-1	rational
4.9.178646	4	9	110	2	✓	all	3	rational
4.9.178645	4	9	110	4	✓	all	0	rational
4.9.178644	4	9	110	2	✓	all	2	rational
4.9.178643	4	9	111	2	✓	all but 2	1	rational
4.9.178642	4	9	110	4	✓	all but 2	2	rational
4.9.178641	4	9	111	2	✓	∅	-1	rational
4.9.178640	4	9	111	8	✓	all	3	rational
4.9.178639	4	9	112	8	✓	all	3	rational
4.9.178638	4	9	104	48	✓	all but 2,3,5,7	0	rational
4.9.178637	4	9	104	12	✓	all but 2,3,5	0	rational
4.9.178636	4	9	107	48	✓	all	2	rational
4.9.178635	4	9	108	192	✓	all but 2	2	rational
4.9.178634	4	9	109	2	✓	all	2	rational
4.9.178633	4	9	110	4	✓	all	3	rational
4.9.178632	4	9	110	2	✓	all but 2	3	rational
4.9.178631	4	9	111	4	✓	∅	-1	rational
4.9.178630	4	9	112	48	✓	all	1	rational
4.9.178629	4	9	108	48	✓	all	2	rational
4.9.178628	4	9	109	8	✓	all	2	rational
4.9.178627	4	9	110	2	✓	∅	-1	rational
4.9.178626	4	9	111	8	✓	all	2	rational
4.9.178625	4	9	111	4	✓	all	4	rational
4.9.178624	4	9	112	12	✓	∅	-1	rational
4.9.178623	4	9	112	192	✓	all	3	rational
4.9.178622	4	9	113	192	✓	all	0	rational
4.9.178621	4	9	98	1	✓	all	1	empty
4.9.178620	4	9	99	2	✓	all	3	empty
4.9.178619	4	9	99	2	✓	all but 2	1	rational
4.9.178618	4	9	99	1	✓	all	3	rational
4.9.178617	4	9	100	2	✓	∅	-1	rational
4.9.178616	4	9	97	2	✓	∅	-1	empty
4.9.178615	4	9	98	1	✓	all	3	rational
4.9.178614	4	9	99	2	✓	all	2	rational