## Family Information

Genus: | $3$ |

Quotient genus: | $0$ |

Group name: | $C_2^2$ |

Group identifier: | $[4,2]$ |

Signature: | $[ 0; 2, 2, 2, 2, 2, 2 ]$ |

Conjugacy classes for this refined passport: | $2, 2, 2, 2, 4, 4$ |

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

Corresponding character(s): | $2, 4$ |

## Other Data

Hyperelliptic curve(s): | yes |

Hyperelliptic involution: | (1,2) (3,4) |

Cyclic trigonal curve(s): | no |

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.4-2.0.2-2-2-2-2-2.2.1

(1,2) (3,4) | |

(1,2) (3,4) | |

(1,2) (3,4) | |

(1,2) (3,4) | |

(1,4) (2,3) | |

(1,4) (2,3) |