Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_{45}$ |
| Group identifier: | $[45,1]$ |
| Signature: | $[ 0; 3, 45, 45 ]$ |
| Conjugacy classes for this refined passport: | $2, 32, 43$ |
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{12}$ |
Other Data
| Hyperelliptic curve(s): | no |
| Cyclic trigonal curve(s): | no |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.45-1.0.3-45-45.7.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) (13,14,15) (16,17,18) (19,20,21) (22,23,24) (25,26,27) (28,29,30) (31,32,33) (34,35,36) (37,38,39) (40,41,42) (43,44,45) | |
| (1,28,40,8,20,32,15,27,39,4,16,43,11,23,35,3,30,42,7,19,31,14,26,38,6,18,45,10,22,34,2,29,41,9,21,33,13,25,37,5,17,44,12,24,36) | |
| (1,35,22,12,43,18,5,39,26,13,32,19,9,40,30,2,36,23,10,44,16,6,37,27,14,33,20,7,41,28,3,34,24,11,45,17,4,38,25,15,31,21,8,42,29) |