Family Information
Genus: | $10$ |
Quotient genus: | $0$ |
Group name: | $C_7:C_6$ |
Group identifier: | $[42,2]$ |
Signature: | $[ 0; 3, 6, 14 ]$ |
Conjugacy classes for this refined passport: | $3, 6, 9$ |
Jacobian variety group algebra decomposition: | $E\times A_{2}^{3}\times E^{3}$ |
Corresponding character(s): | $5, 7, 8$ |
Other Data
Hyperelliptic curve(s): | no |
Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.42-2.0.3-6-14.1.1
(1,8,15) (2,10,19) (3,12,16) (4,14,20) (5,9,17) (6,11,21) (7,13,18) (22,29,36) (23,31,40) (24,33,37) (25,35,41) (26,30,38) (27,32,42) (28,34,39) | |
(1,41,12,22,20,33) (2,38,14,23,17,35) (3,42,9,24,21,30) (4,39,11,25,18,32) (5,36,13,26,15,34) (6,40,8,27,19,29) (7,37,10,28,16,31) | |
(1,24,5,28,2,25,6,22,3,26,7,23,4,27) (8,31,12,35,9,32,13,29,10,33,14,30,11,34) (15,38,19,42,16,39,20,36,17,40,21,37,18,41) |