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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 9,001–9,050

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.284552	3	11	109	1	✗	all but 2,3	rational
3.11.284567	3	11	108	1	✗	all	rational
3.11.284636	3	11	108	1	✗	all but 2,5	rational
3.11.284637	3	11	106	1	✗	all	rational
3.11.284690	3	11	107	1	✗	all	rational
3.11.284703	3	11	107	3	✗	all but 2,5	rational
3.11.284714	3	11	104	24	✗	all but 2,5	empty
3.11.284721	3	11	108	2	✗	all	rational
3.11.284725	3	11	108	6	✗	all	rational over Q(a)/(a^2 - a + 1)
3.11.284739	3	11	110	4	✗	all but 2,5	rational
3.11.284775	3	11	108	2	✗	all but 2,5	rational
3.11.284791	3	11	106	2	✗	all but 2,5	empty
3.11.284818	3	11	108	2	✗	all but 2,5	rational
3.11.284839	3	11	108	2	✗	all but 2,5	rational
3.11.284867	3	11	106	1	✗	all	rational
3.11.284890	3	11	107	2	✗	all but 2,5	rational
3.11.284941	3	11	109	2	✗	all but 2,5	rational
3.11.284962	3	11	109	4	✗	all	rational
3.11.284978	3	11	107	1	✗	all	rational
3.11.284988	3	11	107	1	✗	all	rational
3.11.284997	3	11	108	1	✗	all	rational
3.11.285038	3	11	108	1	✗	all	rational
3.11.285089	3	11	107	1	✗	all	rational
3.11.285118	3	11	108	2	✗	all	rational
3.11.285170	3	11	106	8	✗	all but 2,3	rational
3.11.285173	3	11	108	1	✗	all	rational
3.11.285282	3	11	107	1	✗	all but 2,3	rational
3.11.285304	3	11	105	1	✗	all but 2	rational
3.11.285328	3	11	106	2	✗	all but 2	empty
3.11.285339	3	11	104	4	✗	all but 2,3	rational
3.11.285348	3	11	108	1	✗	all but 2,3	rational
3.11.285764	3	11	108	24	✗	all	rational
3.11.285819	3	11	106	1	✗	all but 2,3,5	rational
3.11.285835	3	11	104	2	✗	all but 2	empty
3.11.285848	3	11	102	2	✗	all	empty
3.11.285854	3	11	104	1	✗	all but 2,3,5	rational
3.11.285872	3	11	101	4	✗	all	empty
3.11.285879	3	11	106	2	✗	all	rational
3.11.285901	3	11	105	1	✗	all	empty
3.11.285915	3	11	104	1	✗	all but 2,3	rational
3.11.285960	3	11	100	6	✗	all but 2,3	empty
3.11.285973	3	11	102	1	✗	all but 2,3,5	point over Q(a)/(a^2 - a - 1)
3.11.285983	3	11	101	6	✗	all but 2,3	empty
3.11.286008	3	11	102	48	✗	all but 2,3,5	empty
3.11.286011	3	11	102	8	✗	all	rational
3.11.286040	3	11	133	24	✗	all	rational
3.11.286041	3	11	133	12	✗	all but 2	rational
3.11.286042	3	11	132	12	✗	all but 2,3	rational
3.11.286048	3	11	135	96	✗	all but 2,3	rational
3.11.286054	3	11	133	12	✗	all but 2,3	rational