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: | $2, 2, 3, 4, 10$ |
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.
14.28-3.0.2-2-2-2-14.3.1
(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) | |
(1,8) (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) | |
(1,13,4,9,7,12,3,8,6,11,2,14,5,10) (15,27,18,23,21,26,17,22,20,25,16,28,19,24) |