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.

ι : Q(√2, √5) → Q(√2, √5), where ι is the identity map

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