Family Information
Genus: | $7$ |
Quotient genus: | $0$ |
Group name: | $C_9:C_3$ |
Group identifier: | $[27,4]$ |
Signature: | $[ 0; 3, 9, 9 ]$ |
Conjugacy classes for this refined passport: | $4, 8, 11$ |
The full automorphism group for this family is $C_9:C_6$ with signature $[ 0; 2, 6, 9 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{2}^{3}$ |
Corresponding character(s): | $3, 10$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.27-4.0.3-9-9.3.1
(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) | |
(1,13,26,2,14,27,3,15,25) (4,17,19,5,18,20,6,16,21) (7,12,24,8,10,22,9,11,23) | |
(1,22,16,3,24,18,2,23,17) (4,27,11,6,26,10,5,25,12) (7,20,15,9,19,14,8,21,13) |