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: | $2, 18, 29$ |
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.
7.30-4.0.2-15-30.4.1
(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) | |
(1,8,15,2,9,11,3,10,12,4,6,13,5,7,14) (16,23,30,17,24,26,18,25,27,19,21,28,20,22,29) | |
(1,29,7,20,13,21,4,27,10,18,11,24,2,30,8,16,14,22,5,28,6,19,12,25,3,26,9,17,15,23) |