Max Alekseyev on Tue, 29 Sep 2020 19:50:14 +0200


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size of the coefficients returned by bnfisnorm()


In the following example bnfisnorm() returns an answer with coefficients with quite large numerators/denominators, while smaller ones exist.
Is there a way to minimize those?

?  bnfisnorm( bnfinit( x^2 + 2537 ), 2021 )
%148 = [Mod(256420604537/291038813883*x + 2091491150354/291038813883, x^2 + 2537), 1]
?  norm( Mod(50/57*x + 473/57, x^2 + 2537) )
%149 = 2021

Thanks,
Max