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Complex conjugate root theoremRational functionRoth's theoremRational numberRationalSimple rootAlgebraic integerDiophantine equationFundamental theorem of arithmeticAlgebraic numberGauss-lucas theoremMultiple rootChinese remainder theoremIdeal numberSturm's theoremRichardson's theoremPrimitive polynomialRunge's theoremHilbert's basis theoremPrincipal rootPrime number theoremRational numbersNullstellensatzRootThue's theoremSquare rootFermat's last theoremFermat's little theoremFunctional rootBézout's theoremSeparable polynomialNormal extensionPolynomial equationRationalizationEuler's criterionPrincipal square rootRadicalRootfinderAlgebraic functionRomanov's theoremFundamental theoremRoot of unityRootfindingEuclid's lemmaRight idealRadical idealPerfect fieldPolynomial algebraRiemann hypothesisHarnack's curve theoremRoot extractionPrimary idealQuadratic integerStark-heegner theoremConjugateMinimal polynomialReal numberIrrational numberAlgebraic closureAx-kochen theoremGrothendieck-riemann-roch theoremIntegral elementQuadratic surdVieta's formulaQuotient ringGelfond-schneider theoremLindemann-weierstrass theoremVan der waerden's theoremTotal ring of fractionsPrimitive rootQuotientFactor ringFactor idealRing theoryArithmeticAx-grothendieck theoremRationalificationPolynomialEuclidean domainAnalytic number theoryEuclidean divisionBinomial theoremAbsolute termQuadratic fieldCentral limit theoremRadon's theoremTheoremRuleKummer's theoremPrime factorPollard's rho algorithmReal numbersQuadratic formBrun's theoremFractional idealAlgebraic number theoryCharacteristicAlgebraic number fieldCyclotomic fieldCongruence