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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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2,017,782 matroids, showing 9,151–9,200

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.289202	3	11	83	8640	✗	all but 2,3,5,7	rational
3.11.289215	3	11	80	768	✗	all but 2,3,5	rational
3.11.289228	3	11	79	16	✗	all	rational
3.11.289230	3	11	78	2	✗	all	rational
3.11.289232	3	11	79	4	✗	all	rational
3.11.289252	3	11	78	2	✗	all but 2,5	rational
3.11.289259	3	11	78	2	✗	all but 2,3,5	rational
3.11.289318	3	11	77	12	✗	all	rational
3.11.289358	3	11	76	16	✗	all	rational
3.11.289371	3	11	115	96	✗	all	rational
3.11.289375	3	11	114	192	✗	all	rational
3.11.290019	3	11	131	8	✗	all	rational
3.11.290082	3	11	135	4	✗	all but 2,3,5	rational
3.11.290084	3	11	134	4	✗	all	rational
3.11.290099	3	11	135	4	✗	all	rational
3.11.290105	3	11	133	4	✗	all	rational
3.11.290108	3	11	133	4	✗	all but 2,3	rational
3.11.290131	3	11	133	8	✗	all but 2,3,5	rational
3.11.290133	3	11	133	2	✗	all but 2,3,5	rational
3.11.290150	3	11	133	4	✗	all but 2,7	rational
3.11.290155	3	11	134	2	✗	all but 2,3	rational
3.11.290156	3	11	134	2	✗	all but 2,3	rational
3.11.290164	3	11	133	4	✗	all but 2,3,5	rational
3.11.290178	3	11	133	4	✗	all	rational
3.11.290185	3	11	134	4	✗	all but 2,3,5	rational
3.11.290217	3	11	131	4	✗	all but 2,3	rational
3.11.290304	3	11	133	2	✗	all	rational
3.11.290311	3	11	134	4	✗	all	rational
3.11.290355	3	11	131	4	✗	all but 2,3,5	rational
3.11.290366	3	11	131	2	✗	all but 2,7	rational
3.11.290389	3	11	132	2	✗	all	rational
3.11.290420	3	11	132	2	✗	all but 2,3	rational
3.11.290422	3	11	131	2	✗	all but 2,3,5	rational
3.11.290429	3	11	132	2	✗	all but 2,3,5	rational
3.11.290456	3	11	130	4	✗	all but 2,5	rational
3.11.290495	3	11	130	4	✗	all but 2	rational
3.11.290521	3	11	132	2	✗	all but 2,3,5,7	rational
3.11.290606	3	11	131	2	✗	all but 2,3	rational
3.11.290613	3	11	130	2	✗	all but 2,3,5	rational
3.11.290679	3	11	129	2	✗	all	rational
3.11.290750	3	11	130	8	✗	all but 2,5	rational
3.11.290754	3	11	130	8	✗	all but 2,3,5	rational
3.11.290785	3	11	127	2	✗	all but 2	rational
3.11.290825	3	11	125	8	✗	all but 2,3,5,7	empty
3.11.290851	3	11	124	576	✗	all but 2,3	rational
3.11.290880	3	11	125	8	✗	all but 2	rational
3.11.290922	3	11	118	24	✗	all but 2	rational
3.11.290926	3	11	122	24	✗	all but 2,5	rational
3.11.290946	3	11	124	24	✗	all but 2	rational
3.11.291008	3	11	135	1920	✗	all but 2,5	rational