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Size rank n

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

36 matroids

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.8822	3	10	64	256	✗	all	3	rational
3.10.9006	3	10	64	96	✗	all	0	rational
3.10.9013	3	10	60	96	✗	all	3	rational
3.10.9036	3	10	60	576	✗	all	2	rational
3.10.9038	3	10	59	72	✗	all	1	rational
3.10.9039	3	10	56	144	✗	all	4	rational
3.10.9040	3	10	54	1296	✗	all	1	rational
3.10.9250	3	10	56	1152	✗	all	3	rational
3.10.9252	3	10	56	192	✗	all	1	rational
3.10.9492	3	10	58	48	✗	all	2	rational
3.10.9493	3	10	56	96	✗	all	4	rational
3.10.9505	3	10	57	144	✗	all	6	rational
3.10.9506	3	10	53	72	✗	all	1	rational
3.10.9580	3	10	54	96	✗	all	2	rational
3.10.9581	3	10	52	96	✗	all	3	rational
3.10.9582	3	10	48	192	✗	all	4	rational
3.10.9588	3	10	51	144	✗	all	2	rational
3.10.9590	3	10	50	288	✗	all	1	rational
3.10.9674	3	10	45	240	✗	all	5	rational
3.10.9675	3	10	44	960	✗	all	2	rational
3.10.9782	3	10	48	288	✗	all	4	rational
3.10.9783	3	10	47	144	✗	all	3	rational
3.10.9810	3	10	46	192	✗	all	4	rational
3.10.9811	3	10	44	384	✗	all	4	rational
3.10.9814	3	10	45	288	✗	all	4	rational
3.10.9815	3	10	43	288	✗	all	3	rational
3.10.9816	3	10	42	288	✗	all	2	rational
3.10.9818	3	10	40	2304	✗	all	2	rational
3.10.9857	3	10	41	480	✗	all	3	rational
3.10.9858	3	10	40	480	✗	{2}	-1	rational
3.10.9859	3	10	37	480	✗	all	5	rational
3.10.9861	3	10	38	1440	✗	all	5	rational
3.10.9902	3	10	33	1440	✗	all	1	rational
3.10.9903	3	10	28	5760	✗	all	2	rational
3.10.9904	3	10	32	2880	✗	all	5	rational
3.10.9937	3	10	22	30240	✗	all	4	rational