Family Information
| Genus: | $13$ |
| Quotient genus: | $0$ |
| Group name: | $C_2$ |
| Group identifier: | $[2,1]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2$ |
| Jacobian variety group algebra decomposition: | $A_{13}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,2) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x(x^{26}+a_{1}x^{25}+a_{2}x^{24}+a_{3}x^{23}+a_{4}x^{22}+a_{5}x^{21}+a_{6}x^{20}+a_{7}x^{19}+a_{8}x^{18}+a_{9}x^{17}+a_{10}x^{16}+a_{11}x^{15}+a_{12}x^{14}+a_{13}x^{13}+a_{14}x^{12}+a_{15}x^{11}+a_{16}x^{10}+a_{17}x^{9}+a_{18}x^{8}+a_{19}x^{7}+a_{20}x^{6}+a_{21}x^{5}+a_{22}x^{4}+a_{23}x^{3}+a_{24}x^{2}+a_{25}x + 1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1.1
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) | |
| (1,2) |