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: | $4, 10, 21$ |
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.
7.27-2.0.3-9-9.1.1
(1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) (19,22,25) (20,23,26) (21,24,27) | |
(1,10,19,2,11,20,3,12,21) (4,13,22,5,14,23,6,15,24) (7,16,25,8,17,26,9,18,27) | |
(1,27,15,3,26,14,2,25,13) (4,21,18,6,20,17,5,19,16) (7,24,12,9,23,11,8,22,10) |