Family Information
Genus: | $6$ |
Quotient genus: | $0$ |
Group name: | $C_5\times S_3$ |
Group identifier: | $[30,1]$ |
Signature: | $[ 0; 2, 10, 15 ]$ |
Conjugacy classes for this refined passport: | $2, 8, 14$ |
Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}^{2}$ |
Corresponding character(s): | $6, 12$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.30-1.0.2-10-15.1.1
(1,16) (2,18) (3,17) (4,19) (5,21) (6,20) (7,22) (8,24) (9,23) (10,25) (11,27) (12,26) (13,28) (14,30) (15,29) | |
(1,21,7,27,13,18,4,24,10,30) (2,20,8,26,14,17,5,23,11,29) (3,19,9,25,15,16,6,22,12,28) | |
(1,14,12,7,5,3,13,11,9,4,2,15,10,8,6) (16,29,27,22,20,18,28,26,24,19,17,30,25,23,21) |