The operating characteristics of a pump were measured to be C_p = aΦ², where C_p = P/(ρω³D⁵) is the power coefficient, Φ is the flow coefficient, a is a constant, D is a length scale, ω is the rotation rate, ρ is fluid density, and P is the power required. The flow coefficient is a dimensionless volume flow rate scaled with ω and D. Assuming that the flow rate remains the same, if the rotation rate is increased to 1.25ω, the power changes to αP. The value of α is _______. (round off to two decimal places)