I am trying to calculate a pole of f(z)=http://www4b.wolframalpha.com/Calculate/MSP/MSP86721gicihdh283d613000033ch4ae4eh37cbd4?MSPStoreType=image/gif&s=35&w=44.&h=40. [Broken] . The answer in the text book is: Simple pole at http://www4f.wolframalpha.com/Calculate/MSP/MSP2485217c56eb3b13h612000056di60dga07378cd?MSPStoreType=image/gif&s=14&w=52.&h=26. [Broken] and a simple pole at http://www4f.wolframalpha.com/Calculate/MSP/MSP2292204iia97b59e96db00001591c4be13e5ge82?MSPStoreType=image/gif&s=19&w=66.&h=24. [Broken] Trying to get to the same solution: So far I have that z=±√ i I need to find this pole in terms of z=re^iθ so I’m trying to plot this on an argand diagram but I don’t know how. Since z=x+iy, I assumed that the real part is 0 and the imaginary part is ±1 but plotting this gives me θ/2 and not over 4 which is required.