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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 8,251–8,300

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.245826	3	11	138	2	✗	all but 2,5	point over Q(a)/(a^2 + 1)
3.11.245932	3	11	140	2	✗	all	rational
3.11.246067	3	11	140	2	✗	all but 2	rational
3.11.246087	3	11	138	8	✗	all but 2	empty
3.11.246146	3	11	141	2	✗	all but 2,5	rational
3.11.246198	3	11	142	4	✗	all but 2	rational
3.11.246214	3	11	139	2	✗	all	empty
3.11.246240	3	11	138	4	✗	all	rational
3.11.246270	3	11	135	4	✗	all but 2,3,5	empty
3.11.246272	3	11	142	2	✗	all but 2,3	rational
3.11.246282	3	11	139	2	✗	all but 3	rational
3.11.246308	3	11	139	2	✗	all but 2	rational
3.11.246316	3	11	139	2	✗	all	rational
3.11.246359	3	11	143	4	✗	all	rational
3.11.246377	3	11	142	2	✗	all but 2	rational
3.11.246391	3	11	142	2	✗	all but 2	rational
3.11.246409	3	11	142	2	✗	all but 2	rational
3.11.246417	3	11	141	2	✗	all	rational
3.11.246528	3	11	140	2	✗	all but 2	rational
3.11.246561	3	11	140	2	✗	all but 2,3	rational
3.11.246563	3	11	140	2	✗	all but 2,3	rational
3.11.246574	3	11	140	2	✗	all but 2,3	rational
3.11.246624	3	11	138	2	✗	all but 2,5	empty
3.11.246709	3	11	138	2	✗	all but 2,3	rational
3.11.246732	3	11	138	2	✗	all but 2,5	rational
3.11.246738	3	11	139	2	✗	all but 2,3,5	rational
3.11.246745	3	11	137	2	✗	all	empty
3.11.246833	3	11	140	4	✗	all	rational
3.11.246847	3	11	140	2	✗	all but 2,3	rational
3.11.247116	3	11	141	2	✗	all but 2,3	rational
3.11.247138	3	11	141	2	✗	all but 2,3	rational
3.11.247150	3	11	141	2	✗	all but 2,5	rational
3.11.247176	3	11	139	2	✗	all	rational
3.11.247190	3	11	141	2	✗	all but 2,3	rational
3.11.247202	3	11	142	4	✗	all but 2,3	rational
3.11.247389	3	11	139	4	✗	all but 2	rational
3.11.247490	3	11	141	2	✗	all but 2	rational
3.11.247594	3	11	138	2	✗	all	point over Q(a)/(a^2 - a + 2)
3.11.247608	3	11	141	4	✗	all but 2,5	rational
3.11.247658	3	11	138	2	✗	all but 2	empty
3.11.247722	3	11	139	8	✗	all but 2,5	rational
3.11.247743	3	11	137	2	✗	all but 2	rational
3.11.247757	3	11	137	4	✗	all but 2	empty
3.11.247798	3	11	139	2	✗	all	rational
3.11.247812	3	11	139	2	✗	all but 2,3	rational
3.11.247994	3	11	138	2	✗	all	rational
3.11.248076	3	11	139	4	✗	all but 2	empty
3.11.248113	3	11	143	48	✗	all but 2	rational
3.11.248134	3	11	143	32	✗	all but 2	rational
3.11.248148	3	11	142	8	✗	all but 2	rational