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Size rank n

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

58,421 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.7.13	3	7	28	168	✓	{2}	-1	empty
3.8.31	3	8	49	168	✓	{2}	-1	empty
3.8.61	3	8	46	24	✓	all	2	empty
3.8.97	3	8	40	48	✗	all	1	empty
3.8.125	3	8	28	168	✗	all	4	empty
3.9.41	3	9	76	12	✓	all	4	empty
3.9.102	3	9	75	4	✓	all	3	empty
3.9.108	3	9	74	8	✓	all	5	empty
3.9.109	3	9	73	36	✓	all	4	empty
3.9.152	3	9	74	12	✓	all but 2	1	empty
3.9.161	3	9	77	336	✓	all but 2	2	empty
3.9.162	3	9	76	48	✓	all but 2	2	empty
3.9.176	3	9	70	336	✗	all	3	empty
3.9.307	3	9	74	24	✓	all	2	empty
3.9.308	3	9	73	6	✓	all	1	empty
3.9.343	3	9	71	8	✓	all	3	empty
3.9.353	3	9	69	12	✓	all	2	empty
3.9.355	3	9	70	4	✓	all	2	empty
3.9.488	3	9	67	48	✗	all	1	empty
3.9.501	3	9	64	12	✗	all	3	empty
3.9.570	3	9	49	168	✗	all	1	empty
3.9.610	3	9	68	48	✓	all	4	empty
3.9.643	3	9	64	48	✗	all	5	empty
3.9.678	3	9	62	16	✗	all	1	empty
3.9.732	3	9	56	32	✗	all	3	empty
3.9.774	3	9	46	24	✗	all	3	empty
3.9.811	3	9	52	144	✗	all	3	empty
3.9.865	3	9	40	48	✗	all	4	empty
3.9.893	3	9	28	336	✗	all	5	empty
3.10.156	3	10	112	12	✓	all	5	empty
3.10.157	3	10	111	4	✓	all	4	empty
3.10.348	3	10	111	2	✓	all	4	empty
3.10.355	3	10	110	2	✓	all	4	empty
3.10.358	3	10	111	4	✓	all	5	empty
3.10.502	3	10	110	2	✓	all	4	empty
3.10.624	3	10	110	2	✓	all	4	empty
3.10.911	3	10	110	4	✓	all	4	empty
3.10.965	3	10	111	4	✓	all	5	empty
3.10.966	3	10	110	4	✓	all	4	empty
3.10.967	3	10	110	2	✓	all	4	empty
3.10.968	3	10	110	1	✓	all	4	empty
3.10.969	3	10	109	2	✓	all	4	empty
3.10.970	3	10	109	1	✓	all	4	empty
3.10.984	3	10	110	2	✓	all	3	empty
3.10.985	3	10	109	2	✓	all	3	empty
3.10.986	3	10	109	2	✓	all	5	empty
3.10.992	3	10	109	2	✓	all	4	empty
3.10.1001	3	10	110	8	✓	all	4	empty
3.10.1002	3	10	109	2	✓	all	4	empty
3.10.1003	3	10	109	4	✓	all	4	empty