Family Information
Genus: | $9$ |
Quotient genus: | $0$ |
Group name: | $C_{27}$ |
Group identifier: | $[27,1]$ |
Signature: | $[ 0; 3, 27, 27 ]$ |
Conjugacy classes for this refined passport: | $2, 22, 27$ |
Jacobian variety group algebra decomposition: | $A_{9}$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | yes |
Trigonal automorphism: | (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.27-1.0.3-27-27.7.1
(1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) | |
(1,12,20,4,15,23,7,18,26,2,10,21,5,13,24,8,16,27,3,11,19,6,14,22,9,17,25) | |
(1,27,18,9,24,15,6,21,12,3,26,17,8,23,14,5,20,11,2,25,16,7,22,13,4,19,10) |