Unbiased map of the temperature plane and its consequences for thed=3Ising model

A quadratic map that was recently proposed by Roskies in order to properly treat the confluent singularities in the three-dimensional Ising model, has been generalized to an unbiased map. This map (which does not require an input of the confluent exponent ${\Delta }_1$, from renormalization-group calculations) is employed here to obtain independent series estimates of $\gamma$, $\nu$ and ${\Delta }_1$ for the three-dimensional Ising model.