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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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16,388 matroids, showing 201–250

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.31543	3	11	159	12	✓	all	8	rational
3.11.39246	3	11	159	48	✓	all	8	rational
3.11.54415	3	11	159	576	✓	all but 2	8	rational
3.11.56632	3	11	157	96	✓	all	8	rational
3.11.56633	3	11	157	144	✓	all	8	rational
3.11.56634	3	11	156	288	✓	all	8	rational
3.11.56638	3	11	154	4032	✓	all	8	empty
3.11.56639	3	11	157	6912	✓	all	8	rational
3.11.56641	3	11	160	1440	✓	all	8	rational
3.11.56642	3	11	159	144	✓	all	8	rational
3.11.56645	3	11	159	72	✓	all	8	rational
3.11.56649	3	11	155	72	✓	all	8	rational
3.11.56668	3	11	155	12	✓	all	8	rational
3.11.56736	3	11	155	2	✓	all	8	rational
3.11.56796	3	11	156	72	✓	all	8	rational
3.11.56797	3	11	157	12	✓	all	8	rational
3.11.56799	3	11	156	6	✓	all	8	rational
3.11.56812	3	11	156	12	✓	all	8	rational
3.11.56813	3	11	155	6	✓	all	8	rational
3.11.56815	3	11	155	2	✓	all	8	rational
3.11.56818	3	11	154	18	✓	all	8	rational
3.11.56821	3	11	154	12	✓	all	8	rational
3.11.56822	3	11	154	12	✓	all	8	rational
3.11.56823	3	11	153	4	✓	all	8	rational
3.11.56824	3	11	153	36	✓	all	8	rational over Q(a)/(a^2 - a + 1)
3.11.56827	3	11	155	2	✓	all	8	rational
3.11.56837	3	11	156	8	✓	all	8	rational
3.11.56841	3	11	156	12	✓	all	8	rational
3.11.56842	3	11	155	12	✓	all	8	rational
3.11.56844	3	11	155	4	✓	all	8	rational
3.11.56847	3	11	154	2	✓	all	8	rational
3.11.56848	3	11	155	12	✓	all	8	rational
3.11.56849	3	11	154	6	✓	all	8	rational
3.11.56850	3	11	155	24	✓	all	8	rational
3.11.56851	3	11	154	24	✓	all	8	rational
3.11.56859	3	11	155	48	✓	all	8	rational
3.11.56860	3	11	154	48	✓	all	8	rational
3.11.56867	3	11	155	96	✓	all	8	rational
3.11.56887	3	11	155	8	✓	all	8	rational
3.11.56891	3	11	156	4	✓	all	8	rational
3.11.56915	3	11	155	4	✓	all	8	rational
3.11.56916	3	11	155	4	✓	all	8	rational
3.11.56918	3	11	155	2	✓	all	8	rational
3.11.56920	3	11	155	4	✓	all	8	rational
3.11.56925	3	11	154	2	✓	all	8	rational
3.11.56926	3	11	156	2	✓	all	8	rational
3.11.56927	3	11	155	2	✓	all	8	rational
3.11.56928	3	11	155	2	✓	all	8	rational
3.11.56929	3	11	155	2	✓	all	8	rational
3.11.56930	3	11	155	1	✓	all	8	rational