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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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8,037,716 matroids, showing 851–900

label ▲	rank ⇅	n ⇅	#bases ⇅	#automorphisms ⇅	simple ⇅	char set ⇅	rs dim ⇅	birational type ⇅
3.10.2725	3	10	105	36	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2727	3	10	109	2	✓	all	2	rational
3.10.2730	3	10	109	2	✓	all	2	rational
3.10.2732	3	10	108	2	✓	all	2	rational
3.10.2733	3	10	108	2	✓	all	2	rational
3.10.2734	3	10	109	1	✓	all	2	rational
3.10.2736	3	10	108	1	✓	all	2	rational
3.10.2738	3	10	107	4	✓	all	2	rational
3.10.2741	3	10	108	1	✓	all	2	rational
3.10.2742	3	10	108	2	✓	all	2	rational
3.10.2743	3	10	108	1	✓	all	2	rational
3.10.2745	3	10	108	1	✓	all	2	rational
3.10.2747	3	10	109	1	✓	all	2	rational
3.10.2749	3	10	108	2	✓	all	2	rational
3.10.2752	3	10	108	1	✓	all	2	rational
3.10.2753	3	10	107	2	✓	all	2	rational over Q(a)/(a^2 + 1)
3.10.2754	3	10	108	2	✓	all	2	rational
3.10.2756	3	10	108	1	✓	all	2	rational
3.10.2762	3	10	107	2	✓	all	2	rational
3.10.2765	3	10	107	1	✓	all	2	empty
3.10.2767	3	10	106	1	✓	all	2	empty
3.10.2776	3	10	111	6	✓	all	2	rational
3.10.2777	3	10	110	2	✓	all	2	rational
3.10.2778	3	10	110	2	✓	all	2	rational
3.10.2780	3	10	107	2	✓	all	2	rational
3.10.2796	3	10	108	1	✓	all	2	rational
3.10.2797	3	10	108	1	✓	all	2	rational
3.10.2799	3	10	108	1	✓	all but 2	2	rational
3.10.2800	3	10	108	1	✓	all	2	rational
3.10.2801	3	10	108	1	✓	all	2	rational
3.10.2803	3	10	108	3	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2805	3	10	108	2	✓	all	2	rational
3.10.2806	3	10	108	2	✓	all	2	rational
3.10.2807	3	10	108	2	✓	all	2	rational
3.10.2808	3	10	107	4	✓	all	2	empty
3.10.2810	3	10	107	4	✓	all	2	rational
3.10.2813	3	10	105	2	✓	all	2	rational
3.10.2814	3	10	104	16	✓	all but 2	2	point over Q(a)/(a^2 + 1)
3.10.2815	3	10	105	6	✓	all	2	rational over Q(a)/(a^2 - a + 1)
3.10.2818	3	10	104	32	✓	all	2	rational
3.10.2820	3	10	112	36	✓	all but 2	2	rational
3.10.2822	3	10	111	2	✓	all	2	rational
3.10.2826	3	10	111	2	✓	all	2	rational
3.10.2827	3	10	110	2	✓	all	2	rational
3.10.2829	3	10	111	2	✓	all	2	rational
3.10.2830	3	10	111	1	✓	all	2	rational
3.10.2857	3	10	109	2	✓	all	2	rational
3.10.2858	3	10	109	2	✓	all	2	rational
3.10.2859	3	10	109	1	✓	all	2	rational
3.10.2861	3	10	111	2	✓	all	2	rational