Family Information
Genus: | $7$ |
Quotient genus: | $0$ |
Group name: | $C_{30}$ |
Group identifier: | $[30,4]$ |
Signature: | $[ 0; 2, 15, 30 ]$ |
Conjugacy classes for this refined passport: | $2, 21, 27$ |
Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}$ |
Other Data
Hyperelliptic curve(s): | yes |
Hyperelliptic involution: | (1,16) (2,17) (3,18) (4,19) (5,20) (6,21) (7,22) (8,23) (9,24) (10,25) (11,26) (12,27) (13,28) (14,29) (15,30) |
Cyclic trigonal curve(s): | no |
Equation(s) of curve(s) in this refined passport: |
$y^2=x^{15}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.30-4.0.2-15-30.7.1
(1,16) (2,17) (3,18) (4,19) (5,20) (6,21) (7,22) (8,23) (9,24) (10,25) (11,26) (12,27) (13,28) (14,29) (15,30) | |
(1,9,12,5,8,11,4,7,15,3,6,14,2,10,13) (16,24,27,20,23,26,19,22,30,18,21,29,17,25,28) | |
(1,28,10,17,14,21,3,30,7,19,11,23,5,27,9,16,13,25,2,29,6,18,15,22,4,26,8,20,12,24) |