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Size rank n

Invariants Bases Automorphisms Dimension of realization space Girth Expected dimension over ℤ

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

Properties Simple Connected Paving Uniform Regular Binary Ternary Quaternary Graphic Transversal Series parallel Self dual Orientable Supersolvable Three lines Free realization space Realization space: smooth over ℤ Realization space: is regular scheme

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2,017,782 matroids, showing 9,201–9,250

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.291030	3	11	131	8	✗	all but 2,3,5	rational
3.11.291095	3	11	129	4	✗	all but 2	rational
3.11.291429	3	11	124	8	✗	all but 2,5	rational
3.11.291514	3	11	123	4	✗	all	rational
3.11.291532	3	11	127	4	✗	all	rational
3.11.291581	3	11	124	4	✗	all but 2	rational
3.11.291783	3	11	121	4	✗	all but 2,5	rational
3.11.291834	3	11	123	32	✗	all but 2,5	rational
3.11.291850	3	11	120	8	✗	all but 2,3	rational
3.11.291984	3	11	115	16	✗	all but 2,3	rational
3.11.292000	3	11	110	64	✗	all but 2,3,5	rational
3.11.292027	3	11	125	32	✗	all but 2,3	rational
3.11.292104	3	11	116	64	✗	all but 2,3,5	rational
3.11.292116	3	11	114	32	✗	all but 2,3	rational
3.11.292135	3	11	117	64	✗	all but 2,3,5	rational
3.11.292148	3	11	110	32	✗	all but 2,3	rational
3.11.292225	3	11	106	8	✗	all but 2,3	rational
3.11.292247	3	11	106	12	✗	all but 3	rational
3.11.292330	3	11	103	1	✗	all	rational
3.11.292339	3	11	102	2	✗	all	rational
3.11.292343	3	11	102	2	✗	all	rational
3.11.292354	3	11	102	1	✗	all	rational
3.11.292379	3	11	103	4	✗	all but 2,3	rational
3.11.292385	3	11	103	4	✗	all	rational
3.11.292388	3	11	102	48	✗	all but 2,3	rational
3.11.292397	3	11	102	1	✗	all	rational
3.11.292408	3	11	102	4	✗	all	rational
3.11.292453	3	11	100	2	✗	all	rational
3.11.292464	3	11	98	16	✗	all	rational
3.11.292499	3	11	96	24	✗	all but 2,3	rational
3.11.292593	3	11	126	144	✗	all but 2,3	rational
3.11.292596	3	11	125	144	✗	all but 2	rational
3.11.292607	3	11	123	12	✗	all but 2	rational
3.11.292611	3	11	122	48	✗	all but 2	rational
3.11.292665	3	11	124	6	✗	all but 2,7	rational
3.11.292681	3	11	124	6	✗	all but 2,5	rational
3.11.292740	3	11	123	6	✗	all	rational
3.11.292749	3	11	120	12	✗	all	rational
3.11.292755	3	11	123	6	✗	all	rational
3.11.292780	3	11	123	6	✗	all but 2	rational
3.11.292926	3	11	121	6	✗	all but 2,3,5	rational
3.11.293047	3	11	117	24	✗	all but 2	rational
3.11.293052	3	11	116	24	✗	all but 2,5	rational
3.11.293084	3	11	114	432	✗	all but 2,3,5,7	rational
3.11.293093	3	11	117	24	✗	all but 2,3	rational
3.11.293102	3	11	118	24	✗	all but 2,3,5	rational
3.11.293235	3	11	117	24	✗	all	rational
3.11.293237	3	11	115	24	✗	all	rational
3.11.293239	3	11	115	24	✗	all but 2,3	rational
3.11.293284	3	11	117	24	✗	all	rational