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Size rank n

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

42 matroids

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
4.9.188573	4	9	55	8	✗	all	2	rational
4.9.188583	4	9	54	48	✗	all	4	rational
4.9.188585	4	9	52	16	✗	all	2	rational
4.9.188586	4	9	48	384	✗	all	2	rational
4.9.189457	4	9	53	8	✗	all	4	rational
4.9.189458	4	9	51	16	✗	all	3	rational
4.9.189461	4	9	50	8	✗	∅	-1	rational
4.9.189465	4	9	52	96	✗	all but 2,5	0	rational
4.9.189467	4	9	52	32	✗	all	3	rational
4.9.189468	4	9	48	32	✗	all	2	rational
4.9.189639	4	9	52	16	✗	all	6	rational
4.9.189641	4	9	48	64	✗	∅	-1	rational
4.9.189647	4	9	49	8	✗	all	5	rational
4.9.189649	4	9	47	16	✗	∅	-1	rational
4.9.189650	4	9	45	32	✗	all but 2,3	0	rational
4.9.189651	4	9	44	32	✗	{2}	-1	rational
4.9.189653	4	9	48	32	✗	all	1	rational
4.9.189654	4	9	46	16	✗	all	5	rational
4.9.189695	4	9	47	12	✗	all	4	rational
4.9.189697	4	9	45	48	✗	all	2	rational
4.9.189698	4	9	44	48	✗	all	2	rational
4.9.189703	4	9	41	24	✗	all	2	rational
4.9.189704	4	9	36	288	✗	all	4	rational
4.9.189709	4	9	46	24	✗	all	4	rational
4.9.189710	4	9	45	24	✗	all but 2	2	rational
4.9.189712	4	9	44	96	✗	all	2	rational
4.9.189715	4	9	44	24	✗	all	2	rational
4.9.189717	4	9	41	48	✗	all	4	rational
4.9.189720	4	9	43	24	✗	all	5	rational
4.9.189723	4	9	39	48	✗	all but 2	2	rational
4.9.189726	4	9	40	96	✗	all	3	rational
4.9.189790	4	9	36	192	✗	all	5	rational
4.9.189793	4	9	35	96	✗	all	1	rational
4.9.189826	4	9	40	96	✗	all but 2,5	0	rational
4.9.189836	4	9	38	72	✗	{2}	-1	rational
4.9.189837	4	9	37	72	✗	∅	-1	rational
4.9.189838	4	9	36	72	✗	all	3	rational
4.9.189840	4	9	33	432	✗	all	4	rational
4.9.189855	4	9	32	144	✗	∅	-1	rational
4.9.189856	4	9	29	288	✗	all	7	rational
4.9.189858	4	9	30	288	✗	all	3	rational
4.9.189880	4	9	21	2880	✗	all but 2	2	rational