Family Information
Genus: | $14$ |
Quotient genus: | $0$ |
Group name: | $C_5:C_8$ |
Group identifier: | $[40,1]$ |
Signature: | $[ 0; 8, 8, 10 ]$ |
Conjugacy classes for this refined passport: | $9, 10, 11$ |
The full automorphism group for this family is $Q_8:D_5$ with signature $[ 0; 2, 8, 20 ]$.
Jacobian variety group algebra decomposition: | $A_{2}\times A_{4}\times A_{8}$ |
Corresponding character(s): | $5, 11, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
14.40-1.0.8-8-10.3.1
(1,26,11,36,6,21,16,31) (2,30,12,40,7,25,17,35) (3,29,13,39,8,24,18,34) (4,28,14,38,9,23,19,33) (5,27,15,37,10,22,20,32) | |
(1,40,16,30,6,35,11,25) (2,39,17,29,7,34,12,24) (3,38,18,28,8,33,13,23) (4,37,19,27,9,32,14,22) (5,36,20,26,10,31,15,21) | |
(1,7,3,9,5,6,2,8,4,10) (11,17,13,19,15,16,12,18,14,20) (21,27,23,29,25,26,22,28,24,30) (31,37,33,39,35,36,32,38,34,40) |