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: | $5, 15, 16$ |
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.
7.27-2.0.3-9-9.15.1
(1,7,4) (2,8,5) (3,9,6) (10,16,13) (11,17,14) (12,18,15) (19,25,22) (20,26,23) (21,27,24) | |
(1,21,12,3,20,11,2,19,10) (4,24,15,6,23,14,5,22,13) (7,27,18,9,26,17,8,25,16) | |
(1,13,25,2,14,26,3,15,27) (4,16,19,5,17,20,6,18,21) (7,10,22,8,11,23,9,12,24) |