Family Information
| Genus: | $14$ |
| Quotient genus: | $0$ |
| Group name: | $D_{14}$ |
| Group identifier: | $[28,3]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 14 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 3, 4, 9$ |
| Jacobian variety group algebra decomposition: | $E\times E\times A_{6}^{2}$ |
| Corresponding character(s): | $2, 4, 7$ |
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: |
| $y^2=x(x^{14}+a_{1}x^{7}+1)(x^{14}+a_{2}x^{7}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.28-3.0.2-2-2-2-14.2.1
| (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) | |
| (1,8) (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) | |
| (1,26) (2,25) (3,24) (4,23) (5,22) (6,28) (7,27) (8,19) (9,18) (10,17) (11,16) (12,15) (13,21) (14,20) | |
| (1,11,7,10,6,9,5,8,4,14,3,13,2,12) (15,25,21,24,20,23,19,22,18,28,17,27,16,26) |