# Computing Dixmier Invariants and Some Geometric Configurations of Quartic Curves with 2 Involutions

## TL;DR

This paper investigates plane quartic curves with two involutions by computing their Dixmier invariants, bitangents, and matrix representations, providing symbolic solutions for these geometric features.

## Contribution

It introduces methods to compute invariants and geometric configurations of quartic curves with involutions, offering explicit symbolic solutions.

## Key findings

- Computed Dixmier invariants for quartic curves with involutions
- Derived symbolic solutions for bitangents of these curves
- Addressed the matrix representation problem with explicit solutions

## Abstract

In this paper we consider plane quartics with to involutions. We compute the Dixmier invariants, the bitangents and the Matrix representation problem of these curves, showing that they have symbolic solutions for the last two questions.