Defining polynomial
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Invariants
Base field: | |
Degree : | |
Ramification index : | |
Residue field degree : | |
Discriminant exponent : | |
Discriminant root field: | |
Root number: | |
: | |
This field is not Galois over | |
Visible Artin slopes: | |
Visible Swan slopes: | |
Means: | |
Rams: | |
Jump set: | undefined |
Roots of unity: |
Intermediate fields
The extension is primitive: there are no intermediate fields between this field and . |
Canonical tower
Unramified subfield: | |
Relative Eisenstein polynomial: |
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Ramification polygon
Residual polynomials: | |
Associated inertia: | |
Indices of inseparability: |