<div id="comment:0"></div> ``` sage: K.<a> = NumberField(x^4 + 18*x^2 - 1) sage: R.<y> = K[] sage: L.<b> = K.extension(y^2 + 9*a^3 - 2*a^2 + 162*a - 38) sage: [L.decomposition_type(i) for i in K.primes_above(3)] [[(1, 1, 2)], [(1, 1, 2)], [(1, 1, 1)]] ``` The last triple should be `(1, 2, 1)`. Component: **number fields** Author: **David Roe** Branch/Commit: **[`e538c5d`](https://github.com/sagemath/sagetrac-mirror/commit/e538c5dfac10a7855521c874cdcf46a96257d32a)** Reviewer: **Travis Scrimshaw** _Issue created by migration from https://trac.sagemath.org/ticket/34514_