\(x^{12} + x^{8} + 109 x^{7} + 121 x^{6} + 101 x^{5} + 6 x^{4} + 77 x^{3} + 107 x^{2} + 147 x + 6\)
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Fields in the database are given up to isomorphism. Isomorphic
intermediate fields are shown with their multiplicities.
Unramified subfield: | 151.12.0.1 $\cong \Q_{151}(t)$ where $t$ is a root of
\( x^{12} + x^{8} + 109 x^{7} + 121 x^{6} + 101 x^{5} + 6 x^{4} + 77 x^{3} + 107 x^{2} + 147 x + 6 \)
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Relative Eisenstein polynomial: |
\( x - 151 \)
$\ \in\Q_{151}(t)[x]$
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The ramification polygon is trivial for unramified extensions.