Family Information
Genus: | $8$ |
Quotient genus: | $0$ |
Group name: | $C_5\times D_4$ |
Group identifier: | $[40,10]$ |
Signature: | $[ 0; 2, 10, 20 ]$ |
Conjugacy classes for this refined passport: | $4, 16, 23$ |
Jacobian variety group algebra decomposition: | $A_{2}\times A_{2}\times A_{2}^{2}$ |
Corresponding character(s): | $5, 7, 22$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.40-10.0.2-10-20.7.1
(1,21) (2,22) (3,23) (4,24) (5,25) (6,26) (7,27) (8,28) (9,29) (10,30) (11,32) (12,31) (13,34) (14,33) (15,36) (16,35) (17,38) (18,37) (19,40) (20,39) | |
(1,15,9,13,7,11,5,19,3,17) (2,16,10,14,8,12,6,20,4,18) (21,35,29,33,27,31,25,39,23,37) (22,36,30,34,28,32,26,40,24,38) | |
(1,38,4,39,5,32,8,33,9,36,2,37,3,40,6,31,7,34,10,35) (11,27,14,30,15,21,18,24,19,25,12,28,13,29,16,22,17,23,20,26) |