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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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2,480 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.9.106	3	9	76	48	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.9.107	3	9	75	12	✓	all	1	rational over Q(a)/(a^2 - a + 1)
3.9.252	3	9	73	6	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.797	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.883	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.995	3	10	112	96	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.996	3	10	111	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.997	3	10	111	12	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.998	3	10	110	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.999	3	10	110	8	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1000	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1008	3	10	108	432	✓	all	1	rational over Q(a)/(a^2 - a + 1)
3.10.1277	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1703	3	10	104	96	✗	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.2077	3	10	108	24	✓	all	4	rational over Q(a)/(a^2 - a + 1)
3.10.2711	3	10	109	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2712	3	10	108	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2713	3	10	106	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2714	3	10	108	2	✓	∅	-1	rational over Q(a)/(a^2 - a + 1)
3.10.2715	3	10	107	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2716	3	10	108	2	✓	all	1	rational over Q(a)/(a^2 - a + 1)
3.10.2718	3	10	107	1	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.2725	3	10	105	36	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2803	3	10	108	3	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2815	3	10	105	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2966	3	10	107	6	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.3409	3	10	107	1	✓	all	4	rational over Q(a)/(a^2 - a + 1)
3.10.3691	3	10	108	6	✓	all but 2	1	rational over Q(a)/(a^2 - a + 1)
3.10.3692	3	10	105	6	✓	all but 2	1	rational over Q(a)/(a^2 - a + 1)
3.10.3693	3	10	107	2	✓	all	1	rational over Q(a)/(a^2 - a + 1)
3.10.3696	3	10	107	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4044	3	10	106	2	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.4225	3	10	105	1	✓	all	4	rational over Q(a)/(a^2 - a + 1)
3.10.4239	3	10	105	2	✓	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.4432	3	10	105	1	✓	all	1	rational over Q(a)/(a^2 - a + 1)
3.10.4574	3	10	105	6	✓	all	4	rational over Q(a)/(a^2 - a + 1)
3.10.4824	3	10	106	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4825	3	10	105	12	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4826	3	10	105	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4827	3	10	105	4	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.4910	3	10	103	2	✓	all but 2	2	rational over Q(a)/(a^2 - a + 1)
3.10.5131	3	10	102	24	✗	all	5	rational over Q(a)/(a^2 - a + 1)
3.10.5740	3	10	101	12	✗	all	1	rational over Q(a)/(a^2 - a + 1)
3.10.5741	3	10	99	12	✗	all	3	rational over Q(a)/(a^2 - a + 1)
3.10.5742	3	10	100	4	✗	all	6	rational over Q(a)/(a^2 - a + 1)
3.10.5864	3	10	98	6	✗	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.5872	3	10	98	4	✗	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.6540	3	10	76	48	✗	all	4	rational over Q(a)/(a^2 - a + 1)
3.10.6541	3	10	75	12	✗	{2}	-1	rational over Q(a)/(a^2 - a + 1)
3.10.6712	3	10	103	12	✓	all	5	rational over Q(a)/(a^2 - a + 1)