Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $D_{14}$ |
| Group identifier: | $[28,3]$ |
| Signature: | $[ 0; 2, 2, 2, 14 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 3, 10$ |
| Jacobian variety group algebra decomposition: | $E\times A_{3}^{2}$ |
| Corresponding character(s): | $2, 5$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x(x^{14}+a_{1}x^{7}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.28-3.0.2-2-2-14.3.1
| (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28) | |
| (1,15) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,22) (9,28) (10,27) (11,26) (12,25) (13,24) (14,23) | |
| (1,17) (2,16) (3,15) (4,21) (5,20) (6,19) (7,18) (8,24) (9,23) (10,22) (11,28) (12,27) (13,26) (14,25) | |
| (1,13,4,9,7,12,3,8,6,11,2,14,5,10) (15,27,18,23,21,26,17,22,20,25,16,28,19,24) |