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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 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.3.0	3	3	1	?	✓	all	rational
3.4.0	3	4	4	?	✓	all	rational
3.4.1	3	4	3	?	✓	all	rational
3.4.2	3	4	2	?	✗	all	rational
3.4.3	3	4	1	?	✗	all	rational
3.5.2	3	5	8	?	✓	all	rational
3.5.3	3	5	7	?	✗	all	rational
3.5.4	3	5	6	?	✗	all	rational
3.5.5	3	5	4	?	✗	all	rational
3.5.7	3	5	5	?	✗	all	rational
3.5.8	3	5	4	?	✗	all	rational
3.5.9	3	5	3	?	✗	all	rational
3.5.10	3	5	3	?	✗	all	rational
3.5.11	3	5	2	?	✗	all	rational
3.5.12	3	5	1	?	✗	all	rational
3.6.5	3	6	16	24	✓	all	rational
3.6.6	3	6	16	48	✗	all	rational
3.6.7	3	6	15	12	✗	all	rational
3.6.8	3	6	10	120	✗	all	rational
3.6.12	3	6	14	8	✗	all	rational
3.6.14	3	6	12	16	✗	all	rational
3.6.18	3	6	9	12	✗	all	rational
3.6.20	3	6	10	36	✗	all	rational
3.6.21	3	6	9	36	✗	all	rational
3.6.23	3	6	6	12	✗	all	rational
3.6.24	3	6	4	48	✗	all	rational
3.6.25	3	6	10	120	✓	all	rational
3.6.28	3	6	6	24	✗	all	rational
3.6.29	3	6	7	12	✗	all	rational
3.6.30	3	6	6	12	✗	all	rational
3.6.31	3	6	5	4	✗	all	rational
3.6.32	3	6	4	8	✗	all	rational
3.6.33	3	6	3	12	✗	all	rational
3.6.34	3	6	4	48	✗	all	rational
3.6.35	3	6	3	12	✗	all	rational
3.6.36	3	6	2	8	✗	all	rational
3.6.37	3	6	1	36	✗	all	rational
3.7.12	3	7	29	24	✓	all but 2	rational
3.7.14	3	7	30	240	✗	all	rational
3.7.25	3	7	28	24	✗	all	rational
3.7.27	3	7	27	4	✗	all	rational
3.7.37	3	7	20	48	✗	all	rational
3.7.38	3	7	19	36	✗	all	rational
3.7.40	3	7	18	8	✗	all	rational
3.7.41	3	7	17	6	✗	all	rational
3.7.46	3	7	16	48	✗	all	rational
3.7.47	3	7	15	12	✗	all	rational
3.7.48	3	7	10	240	✗	all	rational
3.7.51	3	7	20	240	✗	all	rational
3.7.53	3	7	22	8	✗	all	rational