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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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381,879 matroids, showing 6,401–6,450

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.267473	3	11	137	24	✗	all	6	empty
3.11.267544	3	11	144	8	✗	all	6	rational
3.11.267559	3	11	142	2	✗	all	6	rational
3.11.267563	3	11	141	2	✗	all	6	rational
3.11.267568	3	11	140	4	✗	all	6	rational
3.11.267589	3	11	141	4	✗	all	6	rational
3.11.267602	3	11	140	4	✗	all	6	rational
3.11.267635	3	11	140	2	✗	all	6	rational
3.11.267757	3	11	140	2	✗	all	6	rational
3.11.267764	3	11	140	2	✗	all	6	rational
3.11.267787	3	11	140	2	✗	all	6	rational
3.11.267814	3	11	138	2	✗	all	6	empty
3.11.267821	3	11	140	2	✗	all	6	rational
3.11.267832	3	11	138	2	✗	all	6	rational
3.11.267837	3	11	139	2	✗	all	6	rational
3.11.267842	3	11	139	2	✗	all	6	rational
3.11.267856	3	11	141	2	✗	all	6	rational
3.11.267987	3	11	140	4	✗	all	6	empty
3.11.267992	3	11	140	2	✗	all	6	rational
3.11.267995	3	11	139	2	✗	all	6	rational
3.11.268007	3	11	139	2	✗	all	6	rational
3.11.268040	3	11	137	8	✗	all	6	rational
3.11.268044	3	11	141	2	✗	all	6	rational
3.11.268058	3	11	138	2	✗	all	6	rational
3.11.268062	3	11	138	2	✗	all	6	rational
3.11.268096	3	11	139	2	✗	all	6	rational
3.11.268115	3	11	139	2	✗	all	6	rational
3.11.268123	3	11	141	2	✗	all	6	rational
3.11.268134	3	11	139	2	✗	all	6	rational
3.11.268135	3	11	139	2	✗	all	6	rational
3.11.268137	3	11	138	2	✗	all	6	rational
3.11.268139	3	11	137	2	✗	all	6	rational
3.11.268141	3	11	140	2	✗	all	6	rational
3.11.268154	3	11	138	2	✗	all	6	empty
3.11.268170	3	11	140	2	✗	all	6	rational
3.11.268171	3	11	140	4	✗	all	6	rational
3.11.268222	3	11	140	4	✗	all	6	rational over Q(a)/(a^2 - a + 1)
3.11.268242	3	11	137	4	✗	all	6	empty
3.11.268249	3	11	135	24	✗	all	6	rational over Q(a)/(a^2 - a + 1)
3.11.268271	3	11	139	2	✗	all	6	rational
3.11.268338	3	11	136	8	✗	all	6	point over Q(a)/(a^2 + 1)
3.11.268550	3	11	140	4	✗	all	6	rational
3.11.268553	3	11	141	4	✗	all	6	rational
3.11.268584	3	11	140	2	✗	all	6	rational
3.11.268593	3	11	140	2	✗	all	6	rational
3.11.268598	3	11	141	2	✗	all	6	rational
3.11.268610	3	11	139	4	✗	all	6	rational
3.11.268623	3	11	138	2	✗	all	6	rational
3.11.268624	3	11	138	2	✗	all	6	rational
3.11.268633	3	11	137	4	✗	all	6	rational