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MinimalPolynomial

MinimalPolynomial
gives the minimal polynomial in x for which the algebraic number s is a root.
  • MinimalPolynomial[s] gives a pure function representation of the minimal polynomial of s.
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Radical expressions:
Root objects:
MinimalPolynomial automatically threads over lists:
Express the minimal polynomial as a pure function:
Find the characteristic polynomial of over the extension E^(I Pi/4) of :
Construct a polynomial with a root :
The degree of the number field generated by (2-I)/Sqrt[5]:
Compute the extension that defines the number field :
Find the characteristic polynomial of over :
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