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Within the framework of (2+1)-flavor QCD at finite temperature and chemicalpotential, we present results using high statistics data and demonstrate howthe phasefactor of low order unbiased exponential resummation offers excellentprediction, proving to be an alternative reliable estimator of the radius ofconvergence of the eighth order QCD Taylor series at finite baryon densitymeasured using the ratio and the Merci-Roberts estimators. We construct a newnon-trivial unbiased phasefactor for complex isospin chemical potentials $\muI$and highlight its novelty. We find that this new unbiased phasefactor is verymuch capable of indicating the onset of non-monotonicity in finite $\muI$thermodynamics, which we illustrate by comparing the phasefactor results withthat of low order cumulants of $\muI$ fluctuations for non-vanishing $\muI$. Wealso furnish results establishing that this unbiased phasefactor is reliable inmanifesting the beginning of the overlap problem for finite, real $\muI$. Theerrorbars increase drastically across the indications provided by thephasefactor which becomes very apparent from the coincidence between thephasefactor and the maximum of the errorbar slopes.

The overlooked significance of the unbiased exponential phasefactor in the determination of the finite-density lattice QCD equation of state