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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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6,657,451 matroids, showing 751–800

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.1463	3	10	111	2	✓	all	3	rational
3.10.1479	3	10	110	1	✓	all	3	rational
3.10.1480	3	10	110	1	✓	all	3	rational
3.10.1481	3	10	110	1	✓	all	3	rational
3.10.1482	3	10	111	2	✓	all	3	rational
3.10.1487	3	10	110	2	✓	all	3	rational
3.10.1500	3	10	110	2	✓	all	3	rational
3.10.1501	3	10	111	1	✓	all	3	rational
3.10.1502	3	10	110	1	✓	all	3	rational
3.10.1503	3	10	110	1	✓	all	3	rational
3.10.1504	3	10	110	1	✓	all	3	rational
3.10.1508	3	10	109	1	✓	all	3	rational
3.10.1509	3	10	109	1	✓	all	3	rational
3.10.1510	3	10	110	1	✓	all	3	rational
3.10.1511	3	10	109	1	✓	all	3	rational
3.10.1512	3	10	109	1	✓	all	3	rational
3.10.1513	3	10	109	1	✓	all	3	empty
3.10.1514	3	10	110	1	✓	all	3	rational
3.10.1515	3	10	109	1	✓	all	3	rational
3.10.1518	3	10	109	1	✓	all	3	empty
3.10.1521	3	10	108	4	✓	all	3	empty
3.10.1524	3	10	108	4	✓	all	3	rational
3.10.1528	3	10	109	1	✓	all	3	rational
3.10.1532	3	10	110	2	✓	all	3	rational
3.10.1538	3	10	109	1	✓	all	3	rational
3.10.1540	3	10	109	1	✓	all	3	empty
3.10.1547	3	10	111	4	✓	all	3	rational
3.10.1577	3	10	109	1	✓	all	3	rational
3.10.1581	3	10	109	2	✓	all	3	empty
3.10.1596	3	10	109	1	✓	all but 2	3	rational
3.10.1606	3	10	107	6	✓	all	3	empty
3.10.1607	3	10	108	4	✓	all	3	empty
3.10.1611	3	10	112	4	✓	all	3	rational
3.10.1612	3	10	111	6	✓	all	3	rational
3.10.1613	3	10	113	16	✓	all	3	rational
3.10.1617	3	10	111	2	✓	all	3	rational
3.10.1630	3	10	111	2	✓	all but 2	3	rational
3.10.1665	3	10	110	1	✓	all but 2	3	rational
3.10.1668	3	10	109	1	✓	all but 2	3	rational
3.10.1671	3	10	108	6	✓	all but 2	3	rational
3.10.1672	3	10	109	1	✓	all but 2	3	rational
3.10.1673	3	10	108	3	✓	all but 2	3	point over Q(a)/(a^2 - a - 1)
3.10.1683	3	10	110	288	✗	all	3	rational
3.10.1689	3	10	109	24	✗	all	3	rational
3.10.1691	3	10	108	8	✗	all	3	rational
3.10.1692	3	10	108	8	✗	all	3	rational
3.10.1697	3	10	107	4	✗	all	3	rational
3.10.1700	3	10	107	24	✗	all	3	rational
3.10.1702	3	10	105	12	✗	all	3	rational
3.10.1703	3	10	104	96	✗	all	3	rational over Q(a)/(a^2 - a + 1)