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Size rank n

Realizability realizable in char 0 realizable in characteristic char set class birational type

8,037,716 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.5.0	3	5	10	?	✓	all	2	rational
3.6.2	3	6	18	72	✓	all	2	rational
3.6.3	3	6	18	8	✓	all	2	rational
3.6.9	3	6	16	48	✓	all	2	rational
3.6.11	3	6	12	48	✗	all	2	rational
3.6.13	3	6	13	4	✗	all	2	rational
3.6.16	3	6	10	8	✗	all	2	rational
3.7.7	3	7	31	4	✓	all	2	rational
3.7.8	3	7	31	6	✓	all	2	rational
3.7.10	3	7	31	24	✓	all	2	rational
3.7.17	3	7	20	720	✗	all	2	rational
3.7.20	3	7	30	12	✓	all	2	rational
3.7.24	3	7	26	48	✗	all	2	rational
3.7.26	3	7	27	24	✗	all	2	rational
3.7.32	3	7	24	8	✗	all	2	rational
3.7.42	3	7	16	24	✗	all	2	rational
3.7.43	3	7	22	144	✗	all	2	rational
3.7.50	3	7	24	48	✓	all	2	rational
3.7.55	3	7	18	24	✗	all	2	rational
3.7.64	3	7	18	12	✗	all	2	rational
3.7.65	3	7	16	48	✗	all	2	rational
3.7.70	3	7	14	8	✗	all	2	rational
3.7.74	3	7	10	8	✗	all	2	rational
3.7.79	3	7	12	144	✗	all	2	rational
3.7.83	3	7	6	24	✗	all	2	rational
3.7.85	3	7	15	720	✓	all	2	rational
3.7.91	3	7	11	12	✗	all	2	rational
3.7.92	3	7	9	72	✗	all	2	rational
3.7.101	3	7	4	16	✗	all	2	rational
3.8.14	3	8	50	12	✓	all	2	rational
3.8.18	3	8	50	2	✓	all	2	rational
3.8.20	3	8	50	2	✓	all	2	rational
3.8.26	3	8	50	2	✓	all	2	rational
3.8.27	3	8	50	8	✓	all	2	rational
3.8.29	3	8	50	24	✓	all but 2	2	rational
3.8.35	3	8	48	16	✗	all	2	rational
3.8.36	3	8	47	12	✗	all	2	rational
3.8.37	3	8	46	48	✗	all	2	rational
3.8.44	3	8	50	16	✓	all	2	rational
3.8.56	3	8	48	2	✓	all	2	rational
3.8.58	3	8	47	2	✓	all	2	rational
3.8.59	3	8	47	4	✓	all	2	rational
3.8.61	3	8	46	24	✓	all	2	empty
3.8.63	3	8	47	8	✓	all	2	rational
3.8.64	3	8	46	4	✓	all	2	rational
3.8.74	3	8	46	16	✗	all	2	rational
3.8.75	3	8	46	4	✗	all	2	rational
3.8.77	3	8	45	4	✗	all	2	rational
3.8.81	3	8	46	32	✗	all	2	rational
3.8.87	3	8	44	8	✗	all	2	rational