Imaginary multiquadratic number fields of exponent $3$ and $5$

Abstract

In this paper we obtain a complete list of imaginary $n$-quadratic fields with class groups of exponent $3$ and $5$ under ERH for every positive integer $n$ where an $n$-quadratic field is a number field of degree $2^n$ represented as the composite of $n$ quadratic fields.

Better exponation of the algorithm