For the given isomorphic mapping of a subfield of E, give all extensions of the mapping to

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For the given isomorphic mapping of a subfield of E, give all extensions of the mapping to an isomorphic mapping of E onto a subfield of Q̅. Describe the extensions by giving values on the generating set {√2, √3, -√5} for E over Q.

σ : Q(√2, √15) → Q(√2, v'IS) where CJ( v'2) = v'2 and CJ( v'IS) = --/Is

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