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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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1,085 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.11.221224	3	11	135	72	✓	all but 2	1	empty
3.11.276659	3	11	129	24	✗	all	3	empty
3.11.276663	3	11	128	12	✗	all	5	empty
3.11.277900	3	11	126	216	✗	all	4	empty
3.11.278049	3	11	127	8	✗	all	3	empty
3.11.279155	3	11	122	16	✗	all	4	empty
3.11.279159	3	11	120	16	✗	all	3	rational
3.11.280742	3	11	126	48	✗	all	4	point over Q(a)/(a^2 - a + 1)
3.11.281259	3	11	123	48	✗	all	3	empty
3.11.282078	3	11	120	24	✗	all	3	empty
3.11.282107	3	11	122	4	✗	all but 2	1	empty
3.11.282168	3	11	120	8	✗	all	2	rational
3.11.282175	3	11	121	8	✗	all but 2	1	empty
3.11.282430	3	11	117	32	✗	all	5	rational
3.11.282562	3	11	113	32	✗	all	1	rational
3.11.282599	3	11	119	16	✗	all	4	point over Q(a)/(a^2 - a + 1)
3.11.282617	3	11	112	64	✗	all	6	rational
3.11.282642	3	11	111	96	✗	all	6	rational
3.11.282654	3	11	116	8	✗	all but 2	2	rational
3.11.282656	3	11	114	16	✗	all	2	rational
3.11.282695	3	11	118	16	✗	all	5	point over Q(a)/(a^2 - a + 1)
3.11.282697	3	11	111	32	✗	all	3	rational
3.11.282715	3	11	114	16	✗	all	3	rational
3.11.282716	3	11	105	384	✗	all but 2	2	rational
3.11.282724	3	11	110	96	✗	all but 2	1	rational
3.11.282740	3	11	116	16	✗	all	2	rational
3.11.282742	3	11	114	16	✗	all	2	rational
3.11.282743	3	11	108	64	✗	all	2	rational
3.11.285876	3	11	99	108	✗	all but 2	2	empty
3.11.285985	3	11	98	24	✗	all	3	empty
3.11.286798	3	11	120	288	✗	all	3	point over Q(a)/(a^2 - a + 1)
3.11.287301	3	11	117	36	✗	all	3	empty
3.11.287602	3	11	114	72	✗	all	4	point over Q(a)/(a^2 - a + 1)
3.11.287671	3	11	111	24	✗	all but 2	3	rational
3.11.287673	3	11	108	144	✗	all	1	rational
3.11.287708	3	11	108	192	✗	all	3	rational
3.11.287743	3	11	108	48	✗	all	3	rational
3.11.287745	3	11	102	96	✗	all	6	rational
3.11.288514	3	11	96	96	✗	all	4	point over Q(a)/(a^2 - a + 1)
3.11.289008	3	11	93	12	✗	all	2	empty
3.11.289167	3	11	90	48	✗	all	2	point over Q(a)/(a^2 - a + 1)
3.11.289198	3	11	84	192	✗	all but 2	2	rational
3.11.289311	3	11	72	864	✗	all but 2	2	point over Q(a)/(a^2 - a + 1)
3.11.291564	3	11	119	32	✗	all	3	rational
3.11.291650	3	11	120	8	✗	all but 2	2	empty
3.11.291797	3	11	118	8	✗	all	2	empty
3.11.291800	3	11	118	8	✗	all	4	rational
3.11.291803	3	11	117	32	✗	all	5	rational
3.11.291877	3	11	113	16	✗	all	1	rational
3.11.291881	3	11	105	128	✗	all	5	rational