Final answer:
The question requires complex analysis techniques to find the range for polynomial roots in the left half-plane, but it cannot be answered with the information provided as it is unrelated.
Step-by-step explanation:
The question relates to complex analysis in mathematics, specifically to determining conditions for which all roots of a polynomial lie in the left half-plane. However, the provided information seems to be a collection of unrelated equations and values that do not directly apply to the question. Therefore, it's not possible to provide a solution without the actual polynomial or further context. To answer such a question typically involves analyzing the coefficients of the polynomial and applying criteria such as the Routh-Hurwitz criterion or utilizing the argument principle in complex analysis.