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Size rank n

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

108 matroids, showing 1–50

label ▼	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.7.107	3	7	1	144	✗	all	1	rational
3.7.106	3	7	2	24	✗	all	3	rational
3.7.105	3	7	3	24	✗	all	0	rational
3.7.104	3	7	4	48	✗	all	3	rational
3.7.103	3	7	5	240	✗	all	1	rational
3.7.102	3	7	3	36	✗	all	1	rational
3.7.101	3	7	4	16	✗	all	2	rational
3.7.100	3	7	5	8	✗	all	0	rational
3.7.99	3	7	6	12	✗	all	0	rational
3.7.98	3	7	7	12	✗	all	0	rational
3.7.97	3	7	8	48	✗	all	1	rational
3.7.96	3	7	9	48	✗	all	1	rational
3.7.95	3	7	6	48	✗	all	0	rational
3.7.94	3	7	8	8	✗	all	0	rational
3.7.93	3	7	9	12	✗	all	0	rational
3.7.92	3	7	9	72	✗	all	2	rational
3.7.91	3	7	11	12	✗	all	2	rational
3.7.90	3	7	12	36	✗	all	0	rational
3.7.89	3	7	10	120	✗	all	0	rational
3.7.88	3	7	12	48	✗	all	0	rational
3.7.87	3	7	13	16	✗	all	0	rational
3.7.86	3	7	14	48	✗	all	0	rational
3.7.85	3	7	15	720	✓	all	2	rational
3.7.84	3	7	4	144	✗	all	1	rational
3.7.83	3	7	6	24	✗	all	2	rational
3.7.82	3	7	7	24	✗	all	0	rational
3.7.81	3	7	9	36	✗	all	0	rational
3.7.80	3	7	10	36	✗	all	0	rational
3.7.79	3	7	12	144	✗	all	2	rational
3.7.78	3	7	13	144	✗	all	0	rational
3.7.77	3	7	8	16	✗	all	0	rational
3.7.76	3	7	9	24	✗	all	0	rational
3.7.75	3	7	8	48	✗	all	1	rational
3.7.74	3	7	10	8	✗	all	2	rational
3.7.73	3	7	12	16	✗	all	0	rational
3.7.72	3	7	12	16	✗	all	1	rational
3.7.71	3	7	13	4	✗	all	0	rational
3.7.70	3	7	14	8	✗	all	2	rational
3.7.69	3	7	12	48	✗	all	0	rational
3.7.68	3	7	14	24	✗	all	0	rational
3.7.67	3	7	15	24	✗	all	3	rational
3.7.66	3	7	17	24	✗	all	0	rational
3.7.65	3	7	16	48	✗	all	2	rational
3.7.64	3	7	18	12	✗	all	2	rational
3.7.63	3	7	19	24	✗	all	0	rational
3.7.62	3	7	12	48	✗	all	3	rational
3.7.61	3	7	15	12	✗	all	0	rational
3.7.60	3	7	16	48	✗	all	1	rational
3.7.59	3	7	16	16	✗	all	0	rational
3.7.58	3	7	19	8	✗	all	0	rational