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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 7,051–7,100

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.215013	3	11	144	1	✓	all but 2,3,5,7	empty
3.11.215014	3	11	144	1	✓	all but 2,3,5,7	empty
3.11.215019	3	11	146	1	✓	all but 2,3,5	rational
3.11.215021	3	11	145	1	✓	all but 2,3,5	rational
3.11.215023	3	11	145	1	✓	all but 2,3,5	rational
3.11.215026	3	11	144	1	✓	all but 2,3,5	empty
3.11.215029	3	11	145	1	✓	all but 2,3,5	empty
3.11.215030	3	11	144	1	✓	all but 2,3,5	empty
3.11.215031	3	11	144	1	✓	all but 2,3,5	empty
3.11.215092	3	11	148	1	✓	all but 2,3,5	empty
3.11.215093	3	11	148	4	✓	all but 2,3,5,7	empty
3.11.215094	3	11	146	4	✓	all but 2,3,5	empty
3.11.215101	3	11	145	4	✓	all but 2,3,5	empty
3.11.215111	3	11	147	1	✓	all but 2,3,5	empty
3.11.215112	3	11	147	1	✓	all but 2,3,5,11	point over Q(a)/(a^2 - a + 1)
3.11.215113	3	11	146	2	✓	all but 2,3,5,7	rational over Q(a)/(a^2 - a + 1)
3.11.215127	3	11	145	4	✓	all but 2,3,5,7	point over Q(a)/(a^2 - a + 1)
3.11.215128	3	11	149	4	✓	all but 2,3,5	empty
3.11.215129	3	11	148	2	✓	all but 2,3,5	empty
3.11.215132	3	11	148	4	✓	all but 2,3,5	empty
3.11.215133	3	11	147	2	✓	all but 2,3,5,7	empty
3.11.215134	3	11	147	4	✓	all but 2,3,5,7	empty
3.11.215135	3	11	148	2	✓	all but 2,3,5	empty
3.11.215137	3	11	147	1	✓	all but 2,3,5	empty
3.11.215139	3	11	147	2	✓	all but 2,3,5	empty
3.11.215147	3	11	145	1	✓	all but 2,3,5	empty
3.11.215148	3	11	145	4	✓	all but 2,3,5	empty
3.11.215158	3	11	146	2	✓	all but 2,3,5,7	empty
3.11.215159	3	11	145	2	✓	all but 2,3,5	empty
3.11.215160	3	11	144	1	✓	all but 2,3,5,7,11	empty
3.11.215161	3	11	144	2	✓	all but 2,3,5,7	empty
3.11.215163	3	11	147	2	✓	all but 2,3,5	empty
3.11.215164	3	11	147	1	✓	all but 2,3,5,7	empty
3.11.215165	3	11	147	2	✓	all but 2,3,5,7	empty
3.11.215166	3	11	146	1	✓	all but 2,3,5,7	empty
3.11.215168	3	11	146	1	✓	all but 2,3,5	empty
3.11.215170	3	11	147	2	✓	all but 2,3,5	empty
3.11.215172	3	11	146	2	✓	all but 2,3,5,7	empty
3.11.215174	3	11	144	2	✓	all but 2,3,5,7	empty
3.11.215181	3	11	148	36	✓	all but 2,3,5	empty
3.11.215182	3	11	147	12	✓	all but 2,3	empty
3.11.215185	3	11	147	36	✓	all but 2,3,5,11	rational over Q(a)/(a^2 - a + 1)
3.11.215186	3	11	144	36	✓	all but 2,3,5,7	rational over Q(a)/(a^2 - a + 1)
3.11.215187	3	11	146	12	✓	all but 2,3,5,7,11	rational over Q(a)/(a^2 - a + 1)
3.11.215199	3	11	145	1	✓	all but 2,3,5,7	empty
3.11.215201	3	11	147	2	✓	all but 2,3,5	empty
3.11.215205	3	11	146	4	✓	all but 2,3,5,7	empty
3.11.215212	3	11	147	4	✓	all but 2,3,5	empty
3.11.215218	3	11	144	4	✓	all but 2,3,5	empty
3.11.215272	3	11	150	4	✓	all but 2,3	rational