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: | $3, 21, 22$ |
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.
9.27-1.0.3-27-27.18.1
(1,3,2) (4,6,5) (7,9,8) (10,12,11) (13,15,14) (16,18,17) (19,21,20) (22,24,23) (25,27,26) | |
(1,26,16,9,23,13,6,20,10,3,25,18,8,22,15,5,19,12,2,27,17,7,24,14,4,21,11) | |
(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) |