## Family Information

Genus: | 2 |

Group name: | $C_2$ |

Group identifier: | [2,1] |

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

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

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

Corresponding character(s): | 2 |

## Other Data

Hyperelliptic curve(s): | Yes |

Hyperelliptic involution: | (1,2) |

Cyclic trigonal curve(s): | No |

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

$y^2=x(x^{4}+a_{1}x^{3}+a_{2}x^{2}+a_{3}x + 1)$ |

## Generating Vector(s)

Displaying the unique generating vector for this refined passport.

2.2-1.0.2-2-2-2-2-2.1.1

(1,2) | |

(1,2) | |

(1,2) | |

(1,2) | |

(1,2) | |

(1,2) |