List of toric log del Pezzo surfaces of Picard number one with index 11

67 singularity types

Singularity types \(K^2\) Orders of local
fundamental groups		 Local indices Index Cascade
[11] 169/11 11 11 11 cascade
[22] 288/11 22 11 11 cascade
[2], [2, 6] 98/11 2, 11 1, 11 11 cascade
[2], [2, 17] 216/11 2, 33 1, 11 11 cascade
[2, 2], [3, 4] 75/11 3, 11 1, 11 11 cascade
[2, 2], [3, 15] 192/11 3, 44 1, 11 11 cascade
[2], [2], [2, 12, 2] 144/11 2, 2, 44 1, 1, 11 11 cascade
[2, 2, 2], [3, 4] 64/11 4, 11 1, 11 11 cascade
[2, 2, 2], [4, 14] 180/11 4, 55 1, 11 11 cascade
[2], [2, 2], [2, 10, 3] 120/11 2, 3, 55 1, 1, 11 11 cascade
[2], [2, 2, 2], [2, 9, 4] 108/11 2, 4, 66 1, 1, 11 11 cascade
[2, 2], [2, 2], [3, 8, 3] 96/11 3, 3, 66 1, 1, 11 11 cascade
[2, 2, 2, 2, 2], [2, 6] 54/11 6, 11 1, 11 11 cascade
[2, 2, 2, 2, 2], [6, 13] 168/11 6, 77 1, 11 11 cascade
[2, 2], [2, 2, 2], [3, 7, 4] 84/11 3, 4, 77 1, 1, 11 11 cascade
[2], [2, 2, 2, 2, 2], [2, 8, 6] 96/11 2, 6, 88 1, 1, 11 11 cascade
[2, 2], [2, 2, 2, 2], [3, 2, 5] 30/11 3, 5, 22 1, 1, 11 11 cascade
[2, 2, 2], [2, 2, 2], [4, 6, 4] 72/11 4, 4, 88 1, 1, 11 11 cascade
[2, 2, 2], [2, 2, 2, 2], [3, 4] 20/11 4, 5, 11 1, 1, 11 11 cascade
[2], [2, 2, 2, 2, 2, 2], [2, 3, 7] 42/11 2, 7, 33 1, 1, 11 11 cascade
[2, 2], [2, 2, 2, 2, 2], [3, 6, 6] 72/11 3, 6, 99 1, 1, 11 11 cascade
[2, 2], [2, 2, 2, 2, 2, 2], [2, 6] 21/11 3, 7, 11 1, 1, 11 11 cascade
[2], [2, 2, 2, 2, 2, 2, 2], [2, 2, 8] 32/11 2, 8, 22 1, 1, 11 11 cascade
[2, 2, 2], [2, 2, 2, 2, 2], [4, 5, 6] 60/11 4, 6, 110 1, 1, 11 11 cascade
[3, 4], [2, 2, 3, 2], [2, 2, 2, 2, 3] 9/11 11, 11, 11 11, 11, 11 11 cascade
[2, 2, 3, 2], [2, 2, 2, 2, 3], [3, 2, 5] 8/11 11, 11, 22 11, 11, 11 11 cascade
[3, 4], [2, 2, 2, 2, 3], [2, 2, 2, 4, 2] 8/11 11, 11, 22 11, 11, 11 11 cascade
[11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 48/11 11, 12 11, 1 11 cascade
[2, 2, 2, 2, 2], [2, 2, 2, 2, 2], [6, 4, 6] 48/11 6, 6, 132 1, 1, 11 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12, 12] 156/11 12, 143 1, 11 11 cascade
[2, 2, 3, 2], [3, 2, 5], [2, 2, 2, 3, 2, 3] 6/11 11, 22, 33 11, 11, 11 11 cascade
[2, 6], [2, 2, 3, 2], [2, 2, 2, 2, 2, 2, 4] 8/11 11, 11, 22 11, 11, 11 11 cascade
[3, 4], [2, 2, 2, 4, 2], [2, 2, 2, 3, 2, 3] 6/11 11, 22, 33 11, 11, 11 11 cascade
[2], [11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 26/11 2, 11, 13 1, 11, 1 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 13] 91/11 13, 77 1, 11 11 cascade
[2, 6], [2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 9/11 11, 11, 11 11, 11, 1 11 cascade
[3, 4], [2, 2, 2, 2, 2, 2, 4], [2, 2, 5, 2, 2] 6/11 11, 22, 33 11, 11, 11 11 cascade
[2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 12] 84/11 2, 12, 154 1, 1, 11 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 14] 70/11 14, 55 1, 11 11 cascade
[2, 2, 2, 2, 3], [2, 2, 2, 2, 2, 2, 4], [2, 3, 7] 6/11 11, 22, 33 11, 11, 11 11 cascade
[2, 6], [2, 2, 2, 4, 2], [2, 2, 2, 2, 2, 2, 2, 5] 6/11 11, 22, 33 11, 11, 11 11 cascade
[3, 2, 5], [2, 2, 2, 2, 2, 2, 4], [2, 2, 4, 3, 2] 4/11 22, 22, 44 11, 11, 11 11 cascade
[3, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 8] 8/11 11, 11, 22 11, 1, 11 11 cascade
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 5, 12] 60/11 3, 12, 165 1, 1, 11 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 2, 5], [2, 3, 7] 6/11 11, 22, 33 1, 11, 11 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 15] 60/11 15, 44 1, 11 11 cascade
[2, 2, 2, 2, 3], [2, 2, 8], [2, 2, 2, 2, 2, 2, 2, 5] 6/11 11, 22, 33 11, 11, 11 11 cascade
[2, 2, 2, 4, 2], [2, 2, 2, 2, 2, 2, 4], [3, 2, 2, 7] 4/11 22, 22, 44 11, 11, 11 11 cascade
[2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 12] 48/11 4, 12, 176 1, 1, 11 11 cascade
[2, 2, 8], [3, 2, 5], [2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2] 4/11 22, 22, 44 11, 11, 11 11 cascade
[2, 3, 7], [2, 2, 2, 3, 2, 3], [2, 2, 2, 2, 2, 2, 2, 5] 3/11 33, 33, 33 11, 11, 11 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 17] 51/11 17, 33 1, 11 11 cascade
[2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 3, 12] 36/11 6, 12, 198 1, 1, 11 11 cascade
[2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 15] 16/11 4, 16, 44 1, 1, 11 11 cascade
[2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 14] 15/11 5, 15, 55 1, 1, 11 11 cascade
[2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 17] 18/11 3, 18, 33 1, 1, 11 11 cascade
[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 13] 14/11 7, 14, 77 1, 1, 11 11 cascade
[11], [11], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 8/11 11, 11, 22 11, 11, 1 11 cascade
[22], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 46/11 22, 23 11, 1 11 cascade
[2], [22], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 24/11 2, 22, 24 1, 11, 1 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12, 2, 12] 24/11 12, 12, 264 1, 1, 11 11 cascade
[2, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 17] 6/11 11, 22, 33 11, 1, 11 11 cascade
[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [12, 12] 13/11 13, 13, 143 1, 1, 11 11 cascade
[2, 2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 15] 4/11 22, 22, 44 11, 1, 11 11 cascade
[11], [22], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 6/11 11, 22, 33 11, 11, 1 11 cascade
[2, 17], [2, 17], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 3/11 33, 33, 33 11, 11, 1 11 cascade
[22], [22], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2] 4/11 22, 22, 44 11, 11, 1 11 cascade