## Family Information

Genus: | $3$ |

Quotient genus: | $0$ |

Group name: | $C_3$ |

Group identifier: | $[3,1]$ |

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

Conjugacy classes for this refined passport: | $2, 2, 2, 2, 3$ |

Jacobian variety group algebra decomposition: | $A_{3}$ |

## Other Data

Hyperelliptic curve(s): | no |

Cyclic trigonal curve(s): | yes |

Trigonal automorphism: | (1,2,3) |

Equation(s) of curve(s) in this refined passport: |

$y^3 = x (x-1)(x-a_1)(x-a_2)$ |

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

3.3-1.0.3-3-3-3-3.1.1

(1,2,3) | |

(1,2,3) | |

(1,2,3) | |

(1,2,3) | |

(1,3,2) |