Family Information
Genus: | $10$ |
Quotient genus: | $0$ |
Group name: | $C_{30}$ |
Group identifier: | $[30,4]$ |
Signature: | $[ 0; 3, 30, 30 ]$ |
Conjugacy classes for this refined passport: | $4, 25, 30$ |
The full automorphism group for this family is $C_3\times D_{10}$ with signature $[ 0; 2, 6, 30 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times A_{4}\times A_{4}$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.30-4.0.3-30-30.3.1
(1,11,6) (2,12,7) (3,13,8) (4,14,9) (5,15,10) (16,26,21) (17,27,22) (18,28,23) (19,29,24) (20,30,25) | |
(1,27,8,19,15,21,2,28,9,20,11,22,3,29,10,16,12,23,4,30,6,17,13,24,5,26,7,18,14,25) | |
(1,30,9,18,12,21,5,29,8,17,11,25,4,28,7,16,15,24,3,27,6,20,14,23,2,26,10,19,13,22) |