Graded Betti tables of toric surfaces with bidegrees

Graded Betti table of Σ

	0
0	1
1	0
2	0

Graded Betti table of 2 Σ

	0	1	2	3
0	1	0	0	0
1	0	6	8	3
2	0	0	0	0

Graded Betti table of 3 Σ

	0	1	2	3	4	5	6	7
0	1	0	0	0	0	0	0	0
1	0	27	105	189	189	105	27	0
2	0	0	0	0	0	0	0	1

Graded Betti table of 4 Σ

	0	1	2	3	4	5	6	7	8	9	10	11	12
0	1	0	0	0	0	0	0	0	0	0	0	0	0
1	0	75	536	1947	4488	7095	7920	6237	3344	1089	120	0	0
2	0	0	0	0	0	0	0	0	0	0	55	24	3

Graded Betti table of 5 Σ

	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
1	0	165	1830	10710	41616	117300	250920	417690	548080	568854	464100	291720	134640	39780	4858	375	0	0	0
2	0	0	0	0	0	0	0	0	0	0	0	0	0	2002	4200	2160	595	90	6

Graded Betti table of Υ

	0	1
0	1	0
1	0	0
2	0	1

Graded Betti table of 2 Υ

	0	1	2	3	4	5	6	7
0	1	0	0	0	0	0	0	0
1	0	24	84	126	84	20	0	0
2	0	0	0	0	20	36	21	4

Graded Betti table of Υ₂

	0	1	2	3	4
0	1	0	0	0	0
1	0	7	8	3	0
2	0	0	6	8	3

Graded Betti table of Υ₃

	0	1	2	3	4	5	6	7	8
0	1	0	0	0	0	0	0	0	0
1	0	30	120	210	189	105	27	0	0
2	0	0	0	21	105	147	105	40	6

Graded Betti table of Υ₄

	0	1	2	3	4	5	6	7	8	9	10	11	12	13
0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
1	0	81	598	2223	5148	7920	8172	6237	3344	1089	120	0	0	0
2	0	0	0	0	55	450	2376	4488	4950	3630	1859	612	117	10

Graded Betti table of Υ₅

	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
1	0	175	1995	11970	47481	135660	290820	476385	597415	581724	466102	291720	134640	39780	4858	375	0	0	0	0
2	0	0	0	0	0	120	1575	9555	52650	172172	291720	338130	291720	194782	102120	39900	11305	2205	266	15