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Size rank n

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

54 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
3.7.22	3	7	28	6	✓	all	4	rational
3.7.23	3	7	27	72	✓	all	3	rational
3.7.29	3	7	24	12	✗	all	1	rational
3.7.32	3	7	24	8	✗	all	2	rational
3.7.36	3	7	21	8	✗	all	1	rational
3.7.42	3	7	16	24	✗	all	2	rational
3.7.45	3	7	18	144	✗	all	1	rational
3.7.50	3	7	24	48	✓	all	2	rational
3.7.51	3	7	20	240	✗	all	0	rational
3.7.53	3	7	22	8	✗	all	0	rational
3.7.54	3	7	21	24	✗	all	0	rational
3.7.55	3	7	18	24	✗	all	2	rational
3.7.57	3	7	20	16	✗	all	0	rational
3.7.58	3	7	19	8	✗	all	0	rational
3.7.59	3	7	16	16	✗	all	0	rational
3.7.61	3	7	15	12	✗	all	0	rational
3.7.62	3	7	12	48	✗	all	3	rational
3.7.64	3	7	18	12	✗	all	2	rational
3.7.65	3	7	16	48	✗	all	2	rational
3.7.67	3	7	15	24	✗	all	3	rational
3.7.68	3	7	14	24	✗	all	0	rational
3.7.69	3	7	12	48	✗	all	0	rational
3.7.71	3	7	13	4	✗	all	0	rational
3.7.72	3	7	12	16	✗	all	1	rational
3.7.74	3	7	10	8	✗	all	2	rational
3.7.75	3	7	8	48	✗	all	1	rational
3.7.77	3	7	8	16	✗	all	0	rational
3.7.79	3	7	12	144	✗	all	2	rational
3.7.81	3	7	9	36	✗	all	0	rational
3.7.83	3	7	6	24	✗	all	2	rational
3.7.85	3	7	15	720	✓	all	2	rational
3.7.86	3	7	14	48	✗	all	0	rational
3.7.87	3	7	13	16	✗	all	0	rational
3.7.88	3	7	12	48	✗	all	0	rational
3.7.89	3	7	10	120	✗	all	0	rational
3.7.90	3	7	12	36	✗	all	0	rational
3.7.91	3	7	11	12	✗	all	2	rational
3.7.92	3	7	9	72	✗	all	2	rational
3.7.93	3	7	9	12	✗	all	0	rational
3.7.94	3	7	8	8	✗	all	0	rational
3.7.95	3	7	6	48	✗	all	0	rational
3.7.96	3	7	9	48	✗	all	1	rational
3.7.97	3	7	8	48	✗	all	1	rational
3.7.98	3	7	7	12	✗	all	0	rational
3.7.99	3	7	6	12	✗	all	0	rational
3.7.100	3	7	5	8	✗	all	0	rational
3.7.101	3	7	4	16	✗	all	2	rational
3.7.102	3	7	3	36	✗	all	1	rational
3.7.103	3	7	5	240	✗	all	1	rational