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Ghost numbers when using ARB

Maybe a very naive question, but when I code something like:

RDD=RealBallField(256)
RDD(3.1)*RDD(2.1)

I obtain:

[6.510000000000000461852778244065128704839826135899304117285652827862296732064351 +/- 9.03e-80]

as the output. Where does all the noise after the 15th digit come from and how could I get rid of this?

Ghost numbers when using ARB

Maybe a very naive question, but when I code something like:

RDD=RealBallField(256)
RDD(3.1)*RDD(2.1)

I obtain:

[6.510000000000000461852778244065128704839826135899304117285652827862296732064351 +/- 9.03e-80]

as the output. Where does all the noise after the 15th digit come from and how could I get rid of this?it?

Ghost numbers when using ARB

Maybe a very naive question, but when I code something like:

RDD=RealBallField(256)
RDD(3.1)*RDD(2.1)

I obtain:

[6.510000000000000461852778244065128704839826135899304117285652827862296732064351 +/- 9.03e-80]

as the output. Where does all the noise after the 15th digit come from and how could I get rid of it?

Or am I not allowed to increase the accuracy above 53 when using ARB in SageMath?