## Family Information

Genus: | 4 |

Quotient Genus: | 0 |

Group name: | $C_3\times S_3$ |

Group identifier: | [18,3] |

Signature: | $[ 0; 3, 6, 6 ]$ |

Conjugacy classes for this refined passport: | 6, 8, 8 |

The full automorphism group for this family is $C_6\times S_3$ with signature $[ 0; 2, 6, 6 ]$.

Jacobian variety group algebra decomposition: | $E\times E\times E^{2}$ |

Corresponding character(s): | 3, 4, 8 |

## Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.18-3.0.3-6-6.2.1

(1,5,9) (2,6,7) (3,4,8) (10,14,18) (11,15,16) (12,13,17) | |

(1,13,7,10,4,16) (2,15,8,12,5,18) (3,14,9,11,6,17) | |

(1,15,7,12,4,18) (2,14,8,11,5,17) (3,13,9,10,6,16) |