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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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4,237,950 matroids, showing 13,701–13,750

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.215046	3	11	144	1	✓	∅	-1	empty
3.11.215047	3	11	144	1	✓	∅	-1	empty
3.11.215048	3	11	144	1	✓	∅	-1	rational
3.11.215049	3	11	144	1	✓	∅	-1	empty
3.11.215050	3	11	143	1	✓	{5}	-1	empty
3.11.215051	3	11	143	1	✓	∅	-1	empty
3.11.215052	3	11	143	2	✓	∅	-1	empty
3.11.215053	3	11	145	1	✓	∅	-1	empty
3.11.215054	3	11	144	1	✓	∅	-1	rational
3.11.215055	3	11	144	1	✓	{5}	-1	empty
3.11.215056	3	11	144	1	✓	{5}	-1	empty
3.11.215057	3	11	143	1	✓	∅	-1	empty
3.11.215058	3	11	143	1	✓	{5}	-1	empty
3.11.215059	3	11	151	24	✓	∅	-1	rational over Q(a)/(a^2 - a + 1)
3.11.215060	3	11	150	12	✓	∅	-1	rational over Q(a)/(a^2 - a + 1)
3.11.215061	3	11	150	4	✓	{5}	-1	rational over Q(a)/(a^2 - a + 1)
3.11.215091	3	11	149	4	✓	∅	-1	empty
3.11.215114	3	11	148	1	✓	∅	-1	rational over Q(a)/(a^2 - a + 1)
3.11.215115	3	11	147	1	✓	∅	-1	point over Q(a)/(a^2 - a + 1)
3.11.215116	3	11	147	1	✓	∅	-1	point over Q(a)/(a^2 - a + 1)
3.11.215117	3	11	147	1	✓	∅	-1	empty
3.11.215118	3	11	147	1	✓	∅	-1	empty
3.11.215119	3	11	146	1	✓	∅	-1	empty
3.11.215130	3	11	148	2	✓	∅	-1	empty
3.11.215138	3	11	148	4	✓	∅	-1	empty
3.11.215140	3	11	147	4	✓	∅	-1	empty
3.11.215141	3	11	147	4	✓	{5}	-1	empty
3.11.215142	3	11	146	4	✓	∅	-1	empty
3.11.215143	3	11	147	2	✓	∅	-1	empty
3.11.215144	3	11	146	2	✓	∅	-1	empty
3.11.215146	3	11	145	2	✓	∅	-1	empty
3.11.215149	3	11	148	4	✓	{5}	-1	empty
3.11.215150	3	11	147	2	✓	∅	-1	empty
3.11.215151	3	11	147	4	✓	∅	-1	empty
3.11.215171	3	11	146	2	✓	∅	-1	empty
3.11.215173	3	11	146	2	✓	∅	-1	empty
3.11.215175	3	11	145	1	✓	∅	-1	empty
3.11.215176	3	11	144	1	✓	∅	-1	empty
3.11.215177	3	11	144	1	✓	{7}	-1	empty
3.11.215178	3	11	144	1	✓	∅	-1	empty
3.11.215184	3	11	146	12	✓	∅	-1	empty
3.11.215188	3	11	150	24	✓	∅	-1	empty
3.11.215189	3	11	149	12	✓	{11}	-1	empty
3.11.215190	3	11	149	4	✓	{7}	-1	empty
3.11.215191	3	11	149	24	✓	∅	-1	empty
3.11.215192	3	11	147	12	✓	∅	-1	empty
3.11.215193	3	11	146	2	✓	∅	-1	empty
3.11.215194	3	11	149	4	✓	∅	-1	empty
3.11.215195	3	11	148	2	✓	∅	-1	empty
3.11.215196	3	11	148	1	✓	∅	-1	empty