Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $D_{14}$ |
| Group identifier: | $[28,3]$ |
| Signature: | $[ 0; 2, 2, 2, 7 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 4, 6$ |
| Jacobian variety group algebra decomposition: | $A_{3}^{2}$ |
| Corresponding character(s): | $7$ |
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: |
| $y^2=x^{14}+a_1x^{7}+1$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.28-3.0.2-2-2-7.2.1
| (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) | |
| (1,15) (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) | |
| (1,24) (2,23) (3,22) (4,28) (5,27) (6,26) (7,25) (8,17) (9,16) (10,15) (11,21) (12,20) (13,19) (14,18) | |
| (1,6,4,2,7,5,3) (8,13,11,9,14,12,10) (15,20,18,16,21,19,17) (22,27,25,23,28,26,24) |