Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_{18}$ |
Group identifier: | $[18,2]$ |
Signature: | $[ 0; 2, 2, 9, 9 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 8, 11$ |
The full automorphism group for this family is $D_{18}$ with signature $[ 0; 2, 2, 2, 9 ]$.
Jacobian variety group algebra decomposition: | $A_{6}\times A_{2}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.18-2.0.2-2-9-9.2.1
(1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) | |
(1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) | |
(1,7,5,3,9,4,2,8,6) (10,16,14,12,18,13,11,17,15) | |
(1,6,8,2,4,9,3,5,7) (10,15,17,11,13,18,12,14,16) |