A Note on the Growth of Periodic Points for Commuting Toral Automorphisms

Table 2

The number of fixed points 𝑁(𝑛₁,𝑛₂) for |𝑛₁|,|𝑛₂|≤4. The columns correspond to 𝑛₁ and the rows correspond to 𝑛₂.

	−4	−3	−2	−1	0	1	2	3	4
4	25600	8132	464	4652	10880	21388	40592	75356	133120
3	5476	1928	460	296	988	2008	3700	6152	7004
2	1040	452	128	4	80	172	256	76	2000
1	68	152	20	8	4	8	20	232	1404
0	640	148	16	4	∞	4	16	148	640
−1	1404	232	20	8	4	8	20	152	68
−2	2000	76	256	172	80	4	128	452	1040
−3	7004	6152	3700	2008	988	296	460	1928	5476
−4	133120	75356	40592	21388	10880	4652	464	8132	25600