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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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151 matroids, showing 1–50

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.323	3	10	110	4	✓	all	3	K3 surface
3.10.422	3	10	110	10	✓	all	3	K3 surface
3.10.427	3	10	110	2	✓	all	2	K3 surface
3.10.449	3	10	110	3	✓	all	4	K3 surface
3.10.629	3	10	109	2	✓	all	2	rational
3.10.634	3	10	108	24	✓	all	2	point 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)
3.10.893	3	10	109	1	✓	all	2	genus 1 curve (15a8)
3.10.902	3	10	109	1	✓	all	1	genus 1 curve (11a3)
3.10.903	3	10	109	2	✓	all	2	genus 1 curve (15a8)
3.10.905	3	10	109	1	✓	all	2	genus 1 curve (11a3)
3.10.907	3	10	109	1	✓	all	2	rational
3.10.922	3	10	109	1	✓	all	3	rational
3.10.964	3	10	108	2	✓	all	2	point over Q(a)/(a^2 + 1)
3.10.994	3	10	108	3	✓	all	2	point over Q(a)/(a^3 - a^2 + 1)
3.10.1060	3	10	110	3	✓	all	5	rational
3.10.1069	3	10	110	4	✓	all	4	rational
3.10.1071	3	10	110	24	✓	all	3	empty
3.10.1075	3	10	110	6	✓	all	3	rational
3.10.1079	3	10	110	12	✓	all	3	rational
3.10.1081	3	10	110	120	✓	all	4	rational
3.10.1251	3	10	109	1	✓	all	3	rational
3.10.1252	3	10	109	2	✓	all	3	rational over Q(a)/(a^2 - a - 1)
3.10.1271	3	10	109	1	✓	all	2	rational
3.10.1272	3	10	109	1	✓	all	2	rational
3.10.1274	3	10	109	2	✓	all	3	rational
3.10.1277	3	10	109	2	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.1288	3	10	109	2	✓	all	2	rational
3.10.1290	3	10	109	6	✓	all	3	empty
3.10.1375	3	10	109	2	✓	all	4	rational
3.10.1381	3	10	109	1	✓	all	3	rational
3.10.1382	3	10	109	1	✓	all	3	rational
3.10.1411	3	10	109	2	✓	all	3	empty
3.10.1412	3	10	109	2	✓	all	2	rational
3.10.1414	3	10	109	1	✓	all	2	rational
3.10.1415	3	10	109	1	✓	all	2	genus 1 curve (37a1)
3.10.1416	3	10	109	2	✓	all	1	rational
3.10.1422	3	10	109	1	✓	all	4	empty
3.10.1425	3	10	109	2	✓	all	3	empty
3.10.1431	3	10	109	1	✓	all	2	rational
3.10.1432	3	10	109	1	✓	all	2	genus 1 curve (11a3)
3.10.1434	3	10	109	1	✓	all	3	rational
3.10.1437	3	10	109	2	✓	all	2	rational
3.10.1454	3	10	109	3	✓	all	3	genus 1 curve (14a4)
3.10.1455	3	10	109	1	✓	all	2	rational
3.10.1456	3	10	109	3	✓	all	2	rational
3.10.1520	3	10	108	1	✓	all	2	point over Q(a)/(a^3 - a^2 + 1)
3.10.1521	3	10	108	4	✓	all	3	empty
3.10.1523	3	10	108	2	✓	all	2	empty