NumberFieldSignature

Available

Signature {r1 r2} of the number field generated by an algebraic number

Forms

NumberFieldSignature[a]

Verified examplesNumberFieldSignature[Sqrt[2] + Sqrt[3]] → {4, 0}NumberFieldSignature[Root[-1 + # + # ^ 2 + 4 # ^ 3 + 4 # ^ 4 - # ^ 5 + # ^ 6 + 3 # ^ 7 + # ^ 8&, 1]] → {2, 3}NumberFieldSignature[Sqrt[1 + Sqrt[2]]] → {2, 1}

Run this on Qurak Search the reference

Topics

Algebraic Number Theory - Algebraic Number Fields
New In60 Alphabetical Listing - N

Related

CountRoots MinimalPolynomial NumberFieldDiscriminant NumberFieldRegulator NCache Nearest NegativeBinomialDistribution NextPrime NoncentralChiSquareDistribution NoncentralFRatioDistribution NorlundB NormalDistribution

All 6300 functions · Use this from an MCP client