\(x^{14} + x^{8} + 11 x^{7} + x^{6} + 8 x^{5} + 16 x^{4} + 13 x^{3} + 9 x^{2} + 3 x + 3\)
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Fields in the database are given up to isomorphism. Isomorphic
intermediate fields are shown with their multiplicities.
Unramified subfield: | 17.14.0.1 $\cong \Q_{17}(t)$ where $t$ is a root of
\( x^{14} + x^{8} + 11 x^{7} + x^{6} + 8 x^{5} + 16 x^{4} + 13 x^{3} + 9 x^{2} + 3 x + 3 \)
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Relative Eisenstein polynomial: |
\( x - 17 \)
$\ \in\Q_{17}(t)[x]$
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The ramification polygon is trivial for unramified extensions.