# Properties

 Genus $$4$$ Quotient genus $$0$$ Group $$C_9$$ Signature $$[ 0; 9, 9, 9 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: 4 Quotient genus: 0 Group name: $C_9$ Group identifier: [9,1] Signature: $[ 0; 9, 9, 9 ]$
 Conjugacy classes for this refined passport: 5, 9, 9

The full automorphism group for this family is $C_{18}$ with signature $[ 0; 2, 9, 18 ]$.

 Jacobian variety group algebra decomposition: $A_{3}\times E$ Corresponding character(s): 2, 4

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

4.9-1.0.9-9-9.4.1

 (1,7,5,3,9,4,2,8,6) (1,9,6,3,8,5,2,7,4) (1,9,6,3,8,5,2,7,4)