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

1,250 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.221224	3	11	135	72	✓	all but 2	1	empty
3.11.256440	3	11	140	120	✓	all	5	empty
3.11.261968	3	11	138	36	✓	all	1	point over Q(a)/(a^2 - a + 1)
3.11.261983	3	11	138	4	✓	all but 2	2	empty
3.11.261986	3	11	138	36	✓	all but 2	1	empty
3.11.262258	3	11	138	4	✓	all	4	empty
3.11.262260	3	11	138	12	✓	all	4	empty
3.11.262780	3	11	136	24	✓	all	3	empty
3.11.262790	3	11	138	2	✓	all	1	empty
3.11.262808	3	11	137	2	✓	all	4	empty
3.11.262826	3	11	137	2	✓	all	3	empty
3.11.262840	3	11	137	2	✓	all	2	empty
3.11.262841	3	11	137	6	✓	all	2	empty
3.11.262958	3	11	136	16	✓	all	4	empty
3.11.262966	3	11	136	32	✓	all	3	empty
3.11.262970	3	11	135	12	✓	all	4	point over Q(a)/(a^2 - a + 1)
3.11.263615	3	11	128	96	✗	all but 2	2	rational
3.11.263732	3	11	132	8	✗	all	4	point over Q(a)/(a^2 - a - 1)
3.11.263734	3	11	131	6	✗	all	4	point over Q(a)/(a^2 - a + 1)
3.11.263787	3	11	131	2	✗	all but 2	3	rational
3.11.263788	3	11	131	6	✗	all	2	empty
3.11.263797	3	11	131	4	✗	all	2	empty
3.11.276659	3	11	129	24	✗	all	3	empty
3.11.276663	3	11	128	12	✗	all	5	empty
3.11.276728	3	11	130	8	✗	all but 2	1	empty
3.11.276744	3	11	130	4	✗	all	6	point over Q(a)/(a^2 - a + 1)
3.11.276749	3	11	129	2	✗	∅	-1	rational
3.11.276750	3	11	129	4	✗	all	1	rational
3.11.276755	3	11	130	4	✗	all	5	rational
3.11.276757	3	11	130	2	✗	all	4	rational
3.11.276758	3	11	130	4	✗	all	3	empty
3.11.276760	3	11	130	4	✗	all	4	empty
3.11.277900	3	11	126	216	✗	all	4	empty
3.11.278036	3	11	128	8	✗	all	4	rational
3.11.278049	3	11	127	8	✗	all	3	empty
3.11.278050	3	11	128	16	✗	all	4	rational
3.11.279155	3	11	122	16	✗	all	4	empty
3.11.279159	3	11	120	16	✗	all	3	rational
3.11.280995	3	11	124	8	✗	all	2	rational
3.11.281015	3	11	124	16	✗	all	2	rational
3.11.281077	3	11	124	16	✗	all	2	rational
3.11.281259	3	11	123	48	✗	all	3	empty
3.11.281260	3	11	124	8	✗	all	4	rational
3.11.281270	3	11	124	32	✗	all but 2	4	empty
3.11.281857	3	11	122	8	✗	all	6	rational
3.11.282078	3	11	120	24	✗	all	3	empty
3.11.282107	3	11	122	4	✗	all but 2	1	empty
3.11.282168	3	11	120	8	✗	all	2	rational
3.11.282175	3	11	121	8	✗	all but 2	1	empty
3.11.282430	3	11	117	32	✗	all	5	rational