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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 9,251–9,300

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	birational type ⇅
3.11.293289	3	11	119	12	✗	all	rational
3.11.293300	3	11	116	24	✗	all	rational
3.11.293301	3	11	115	48	✗	all	rational
3.11.293308	3	11	117	24	✗	all	rational
3.11.293324	3	11	116	24	✗	all but 2,3	rational
3.11.293327	3	11	118	12	✗	all but 2,3	rational
3.11.293333	3	11	115	12	✗	all but 2,3	rational
3.11.293336	3	11	116	24	✗	all but 2	rational
3.11.293374	3	11	113	48	✗	all	rational
3.11.293382	3	11	115	12	✗	all	rational
3.11.293399	3	11	113	12	✗	all but 2,3,7	rational
3.11.293400	3	11	114	12	✗	all	rational
3.11.293401	3	11	116	24	✗	all	rational
3.11.293482	3	11	115	12	✗	all but 2,3,5,7	rational
3.11.293522	3	11	112	144	✗	all but 2,3,5,7	rational
3.11.293535	3	11	110	24	✗	all	rational
3.11.293544	3	11	111	12	✗	all but 2,3,5	rational
3.11.293549	3	11	109	12	✗	all	rational
3.11.293565	3	11	108	24	✗	all but 2,3	rational
3.11.293566	3	11	106	24	✗	all	empty
3.11.293573	3	11	115	48	✗	all but 2,3	rational
3.11.293581	3	11	113	48	✗	all but 2,3,5	rational
3.11.293584	3	11	110	24	✗	all but 2,3,5,7	rational
3.11.293617	3	11	95	96	✗	all	rational
3.11.293635	3	11	108	24	✗	all but 2,3	rational
3.11.293637	3	11	106	24	✗	all	rational
3.11.293641	3	11	108	24	✗	all	rational
3.11.293655	3	11	102	24	✗	all but 2	rational
3.11.293663	3	11	97	48	✗	all	rational
3.11.293668	3	11	101	96	✗	all but 2,3	rational
3.11.293669	3	11	109	48	✗	all but 3	rational
3.11.293675	3	11	107	24	✗	all	rational
3.11.293681	3	11	106	48	✗	all	rational
3.11.293685	3	11	106	48	✗	all	rational
3.11.293687	3	11	105	48	✗	all but 2	rational
3.11.293695	3	11	102	48	✗	all but 3	rational
3.11.293707	3	11	100	24	✗	all but 2,7	rational
3.11.293728	3	11	109	144	✗	all but 2	rational
3.11.293837	3	11	99	12	✗	all	rational
3.11.293843	3	11	98	12	✗	all but 2,3,5	rational over Q(a)/(a^2 - a + 1)
3.11.293848	3	11	101	4	✗	all	rational
3.11.293887	3	11	97	8	✗	all but 2,3,5,7	rational
3.11.293900	3	11	102	16	✗	all but 2,3	rational
3.11.293910	3	11	102	8	✗	all but 2,3,5,7	rational
3.11.293916	3	11	100	8	✗	all	rational
3.11.293920	3	11	100	4	✗	all but 2,3,5	rational
3.11.293929	3	11	100	2	✗	all but 2,3,5,7	rational
3.11.293932	3	11	99	2	✗	all but 2,3	rational
3.11.293944	3	11	100	4	✗	all	rational
3.11.293949	3	11	100	2	✗	all but 2,5	rational