List of toric log del Pezzo surfaces of Picard number one with index 2

7 singularity types

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index Cascade
[4] 9 4 2 2 cascade
[2, 2], [3, 3] 6 3, 8 1, 2 2 cascade
[4], [2, 2, 2, 2] 5 4, 5 2, 1 2 cascade
[2], [4], [2, 2, 2, 2, 2] 3 2, 4, 6 1, 2, 1 2 cascade
[2, 2], [2, 2], [3, 2, 3] 3 3, 3, 12 1, 1, 2 2 cascade
[2, 2, 2], [2, 2, 2], [3, 3] 2 4, 4, 8 1, 1, 2 2 cascade
[4], [4], [2, 2, 2, 2, 2, 2, 2] 2 4, 4, 8 2, 2, 1 2 cascade