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Size rank n

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

2,017,782 matroids, showing 51–100

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.7.54	3	7	21	24	✗	all	rational
3.7.56	3	7	21	16	✗	all	rational
3.7.57	3	7	20	16	✗	all	rational
3.7.58	3	7	19	8	✗	all	rational
3.7.59	3	7	16	16	✗	all	rational
3.7.61	3	7	15	12	✗	all	rational
3.7.63	3	7	19	24	✗	all	rational
3.7.66	3	7	17	24	✗	all	rational
3.7.68	3	7	14	24	✗	all	rational
3.7.69	3	7	12	48	✗	all	rational
3.7.71	3	7	13	4	✗	all	rational
3.7.73	3	7	12	16	✗	all	rational
3.7.76	3	7	9	24	✗	all	rational
3.7.77	3	7	8	16	✗	all	rational
3.7.78	3	7	13	144	✗	all	rational
3.7.80	3	7	10	36	✗	all	rational
3.7.81	3	7	9	36	✗	all	rational
3.7.82	3	7	7	24	✗	all	rational
3.7.86	3	7	14	48	✗	all	rational
3.7.87	3	7	13	16	✗	all	rational
3.7.88	3	7	12	48	✗	all	rational
3.7.89	3	7	10	120	✗	all	rational
3.7.90	3	7	12	36	✗	all	rational
3.7.93	3	7	9	12	✗	all	rational
3.7.94	3	7	8	8	✗	all	rational
3.7.95	3	7	6	48	✗	all	rational
3.7.98	3	7	7	12	✗	all	rational
3.7.99	3	7	6	12	✗	all	rational
3.7.100	3	7	5	8	✗	all	rational
3.7.105	3	7	3	24	✗	all	rational
3.8.22	3	8	48	48	✓	all	point over Q(a)/(a^2 - a + 1)
3.8.34	3	8	48	144	✗	all	rational
3.8.69	3	8	47	24	✗	all	rational
3.8.72	3	8	46	4	✗	all	rational
3.8.73	3	8	46	16	✗	all	rational
3.8.78	3	8	44	16	✗	all	rational
3.8.82	3	8	45	8	✗	all	rational
3.8.89	3	8	44	4	✗	all	rational
3.8.93	3	8	42	8	✗	all	rational
3.8.94	3	8	43	4	✗	all	rational
3.8.98	3	8	41	4	✗	all	rational
3.8.102	3	8	42	16	✗	all	rational
3.8.105	3	8	40	32	✗	all	rational
3.8.106	3	8	40	8	✗	all	rational
3.8.109	3	8	36	32	✗	all	rational
3.8.111	3	8	36	32	✗	all	rational
3.8.113	3	8	34	144	✗	all	rational
3.8.115	3	8	33	16	✗	all but 2	rational
3.8.119	3	8	31	4	✗	all	rational
3.8.120	3	8	31	6	✗	all	rational