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: | $8, 13, 26$ |
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.
7.27-2.0.3-9-9.40.1
(1,6,8) (2,4,9) (3,5,7) (10,15,17) (11,13,18) (12,14,16) (19,24,26) (20,22,27) (21,23,25) | |
(1,20,10,3,19,12,2,21,11) (4,23,13,6,22,15,5,24,14) (7,26,16,9,25,18,8,27,17) | |
(1,18,23,2,16,24,3,17,22) (4,12,26,5,10,27,6,11,25) (7,15,20,8,13,21,9,14,19) |