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: | $2, 4, 4, 8$ |
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.
7.28-3.0.2-2-2-14.4.1
(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) | |
(1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,15) (9,21) (10,20) (11,19) (12,18) (13,17) (14,16) | |
(1,28) (2,27) (3,26) (4,25) (5,24) (6,23) (7,22) (8,21) (9,20) (10,19) (11,18) (12,17) (13,16) (14,15) | |
(1,9,3,11,5,13,7,8,2,10,4,12,6,14) (15,23,17,25,19,27,21,22,16,24,18,26,20,28) |