Family Information
Genus: | $7$ |
Quotient genus: | $0$ |
Group name: | $C_3\times C_9$ |
Group identifier: | $[27,2]$ |
Signature: | $[ 0; 3, 9, 9 ]$ |
Conjugacy classes for this refined passport: | $7, 14, 25$ |
The full automorphism group for this family is $C_3\times D_9$ with signature $[ 0; 2, 6, 9 ]$.
Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times E$ |
Corresponding character(s): | $5, 6, 11$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.27-2.0.3-9-9.32.1
(1,9,5) (2,7,6) (3,8,4) (10,18,14) (11,16,15) (12,17,13) (19,27,23) (20,25,24) (21,26,22) | |
(1,12,20,2,10,21,3,11,19) (4,15,23,5,13,24,6,14,22) (7,18,26,8,16,27,9,17,25) | |
(1,23,16,3,22,18,2,24,17) (4,26,10,6,25,12,5,27,11) (7,20,13,9,19,15,8,21,14) |