## Family Information

Genus: | 3 |

Quotient Genus: | 0 |

Group name: | $C_4^2$ |

Group identifier: | [16,2] |

Signature: | $[ 0; 4, 4, 4 ]$ |

Conjugacy classes for this refined passport: | 5, 11, 16 |

The full automorphism group for this family is $C_4^2:C_3:C_2$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition: | $E\times E\times E$ |

Corresponding character(s): | 6, 7, 10 |

## Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.16-2.0.4-4-4.3.1

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

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

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