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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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32,400,859 matroids, showing 2,051–2,100

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.144	3	10	113	1	✓	all	5	rational
3.10.145	3	10	112	1	✓	all	4	rational
3.10.146	3	10	112	1	✓	all	4	rational
3.10.147	3	10	111	3	✓	all	3	rational
3.10.148	3	10	112	2	✓	all	4	rational
3.10.149	3	10	114	24	✓	all	6	rational
3.10.150	3	10	113	12	✓	all	5	rational
3.10.151	3	10	113	4	✓	all	5	rational
3.10.152	3	10	113	4	✓	all	5	rational
3.10.153	3	10	112	1	✓	all	4	rational
3.10.154	3	10	112	4	✓	all	4	rational
3.10.155	3	10	111	2	✓	all	3	rational
3.10.156	3	10	112	12	✓	all	5	empty
3.10.157	3	10	111	4	✓	all	4	empty
3.10.158	3	10	111	108	✓	∅	-1	rational
3.10.159	3	10	116	36	✓	∅	-1	rational
3.10.160	3	10	115	36	✓	all	4	rational
3.10.161	3	10	115	4	✓	all	8	rational
3.10.162	3	10	114	2	✓	all	7	rational
3.10.163	3	10	113	6	✓	all	7	rational
3.10.164	3	10	115	12	✓	all	6	rational
3.10.165	3	10	114	2	✓	all	5	rational
3.10.166	3	10	113	2	✓	all	7	rational
3.10.167	3	10	115	4	✓	all	6	rational
3.10.168	3	10	114	1	✓	all	5	rational
3.10.169	3	10	113	2	✓	all	7	rational
3.10.170	3	10	114	2	✓	all	6	rational
3.10.171	3	10	113	1	✓	all	5	rational
3.10.172	3	10	114	2	✓	all	6	rational
3.10.173	3	10	113	1	✓	all	5	rational
3.10.174	3	10	114	2	✓	all	6	rational
3.10.175	3	10	113	2	✓	all	5	rational
3.10.176	3	10	113	1	✓	all	6	rational
3.10.177	3	10	113	2	✓	all	5	rational
3.10.178	3	10	115	4	✓	all	5	rational
3.10.179	3	10	114	4	✓	all	5	rational
3.10.180	3	10	114	4	✓	all	7	rational
3.10.181	3	10	114	2	✓	all	6	rational
3.10.182	3	10	114	4	✓	all	6	rational
3.10.183	3	10	114	4	✓	all	6	rational
3.10.184	3	10	114	2	✓	all	6	rational
3.10.185	3	10	114	2	✓	all	6	rational
3.10.186	3	10	113	1	✓	all	6	rational
3.10.187	3	10	113	2	✓	all	6	rational
3.10.188	3	10	113	2	✓	all	5	rational
3.10.189	3	10	113	1	✓	all	5	rational
3.10.190	3	10	114	4	✓	all	5	rational
3.10.191	3	10	113	4	✓	all	5	rational
3.10.192	3	10	113	2	✓	all	6	rational
3.10.193	3	10	114	2	✓	all	5	rational