List of quotient singularities with index 7

27 basic regular quotient singularity types and 33 irregular quotient singularity types

Singularity type Index
[7] 7
[14] 7
[4, 2] 7
[5, 3] 7
[9, 4] 7
[11, 2] 7
[2, 8, 2] 7
[3, 2, 2] 7
[3, 3, 3] 7
[4, 4, 4] 7
[4, 6, 2] 7
[9, 2, 3] 7
[10, 2, 2] 7
[2, 7, 2, 2] 7
[3, 2, 6, 2] 7
[4, 4, 2, 3] 7
[4, 5, 2, 2] 7
[2, 2, 6, 2, 2] 7
[2, 3, 2, 2, 2] 7
[2, [2], [2, 2], [4]] 7
[3, 2, 4, 2, 3] 7
[3, 2, 5, 2, 2] 7
[5, 2, 2, 2, 2] 7
[2, [2], [2, 2], [2, 3]] 7
[3, 3, 2, 2, 2, 2] 7
[3, [2], [2, 2], [2, 2]] 7
[9, 2, 2, 2, 2, 2] 7
[2, 6, 2, 2, 2, 2, 2] 7
[4, 4, 2, 2, 2, 2, 2] 7
[2, 2, 5, 2, 2, 2, 2, 2] 7
[3, 2, 4, 2, 2, 2, 2, 2] 7
[2, 2, 2, 2, 3, 2, 2, 2, 2] 7
[2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2] 7
Basic singularity type Second singularity type Third singularity type Index
[8, 8] [8, 2, 8] [8, 2, 2, 8] 7
[8, 3, 4] [8, 2, 3, 4] [8, 2, 2, 3, 4] 7
[8, 5, 2] [8, 2, 5, 2] [8, 2, 2, 5, 2] 7
[2, 5, 5, 2] [2, 5, 2, 5, 2] [2, 5, 2, 2, 5, 2] 7
[2, [2], [2], [8]] [2, [2], [2], [2, 8]] [2, [2], [2], [2, 2, 8]] 7
[3, [2], [2], [4]] [2, [2], [2], [3, 4]] [2, [2], [2], [2, 3, 4]] 7
[4, 3, 3, 4] [4, 3, 2, 3, 4] [4, 3, 2, 2, 3, 4] 7
[4, 3, 5, 2] [4, 3, 2, 5, 2] [4, 3, 2, 2, 5, 2] 7
[5, [2], [2], [2]] [2, [2], [2], [5, 2]] [2, [2], [2], [2, 5, 2]] 7
[8, 3, 2, 3] [8, 2, 3, 2, 3] [8, 2, 2, 3, 2, 3] 7
[8, 4, 2, 2] [8, 2, 4, 2, 2] [8, 2, 2, 4, 2, 2] 7
[2, 5, 4, 2, 2] [2, 5, 2, 4, 2, 2] [2, 5, 2, 2, 4, 2, 2] 7
[3, 2, 3, 5, 2] [3, 2, 3, 2, 5, 2] [3, 2, 3, 2, 2, 5, 2] 7
[3, [2], [2], [2, 3]] [2, [2], [2], [3, 2, 3]] [2, [2], [2], [2, 3, 2, 3]] 7
[4, 3, 3, 2, 3] [4, 3, 2, 3, 2, 3] [4, 3, 2, 2, 3, 2, 3] 7
[4, 3, 4, 2, 2] [4, 3, 2, 4, 2, 2] [4, 3, 2, 2, 4, 2, 2] 7
[4, [2], [2], [2, 2]] [2, [2], [2], [4, 2, 2]] [2, [2], [2], [2, 4, 2, 2]] 7
[2, 2, 4, 4, 2, 2] [2, 2, 4, 2, 4, 2, 2] [2, 2, 4, 2, 2, 4, 2, 2] 7
[3, 2, 3, 3, 2, 3] [3, 2, 3, 2, 3, 2, 3] [3, 2, 3, 2, 2, 3, 2, 3] 7
[3, 2, 3, 4, 2, 2] [3, 2, 3, 2, 4, 2, 2] [3, 2, 3, 2, 2, 4, 2, 2] 7
[8, 3, 2, 2, 2, 2, 2] [8, 2, 3, 2, 2, 2, 2, 2] [8, 2, 2, 3, 2, 2, 2, 2, 2] 7
[2, 5, 3, 2, 2, 2, 2, 2] [2, 5, 2, 3, 2, 2, 2, 2, 2] [2, 5, 2, 2, 3, 2, 2, 2, 2, 2] 7
[3, [2], [2], [2, 2, 2, 2, 2]] [2, [2], [2], [3, 2, 2, 2, 2, 2]] [2, [2], [2], [2, 3, 2, 2, 2, 2, 2]] 7
[4, 3, 3, 2, 2, 2, 2, 2] [4, 3, 2, 3, 2, 2, 2, 2, 2] [4, 3, 2, 2, 3, 2, 2, 2, 2, 2] 7
[2, 2, 4, 3, 2, 2, 2, 2, 2] [2, 2, 4, 2, 3, 2, 2, 2, 2, 2] [2, 2, 4, 2, 2, 3, 2, 2, 2, 2, 2] 7
[3, 2, 3, 3, 2, 2, 2, 2, 2] [3, 2, 3, 2, 3, 2, 2, 2, 2, 2] [3, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2] 7
[2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2] [2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 2, 2, 2] [2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2] 7

Reference: R. Blache, "Two aspects of log terminal surface singularities", Abh. Math. Sem. Univ. Hamburg 64 (1994), 59-87