Family Information
Genus: | $6$ |
Quotient genus: | $0$ |
Group name: | $C_{18}$ |
Group identifier: | $[18,2]$ |
Signature: | $[ 0; 3, 18, 18 ]$ |
Conjugacy classes for this refined passport: | $3, 16, 17$ |
Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}$ |
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) |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.18-2.0.3-18-18.3.1
(1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) | |
(1,16,5,12,9,13,2,17,6,10,7,14,3,18,4,11,8,15) | |
(1,14,9,11,6,16,3,13,8,10,5,18,2,15,7,12,4,17) |