Yeah. So I 'm  I 'm still hopeful that  that  I mean , we  we don't even know if the phase  is something  the average phase is something that we do want to remove. I mean , maybe there 's some deeper reason why it isn't the right thing to do. But , um , at least in principle it looks like there 's  there 's , uh , a couple potential ways to do it. One  one being to just work with the complex numbers , um , and , uh  in rectangular kind of coordinates. And the other is  to , uh , do a Taylor series  Well. So you work with the complex numbers and then when you get the spectrum  the average complex spectrum  um , actually divide it out , um , as opposed to taking the log and subtracting. So then , um , um , you know , there might be some numerical issues. We don't really know that. The other thing we talked a little bit about was Taylor series expansion. And , um , uh , actually I was talking to Dick Karp about it a little bit , and  and  and , since I got thinking about it , and  and , uh , so one thing is that y you 'd have to do , I think , uh  we may have to do this on a whiteboard , but I think you have to be a little careful about scaling the numbers that you 're  taking  the complex numbers that you 're taking the log of because  the Taylor expansion for it has , you know , a square and a cube , and  and so forth. And  and so if   if you have a  a number that is modulus , you know , uh , very different from one   It should be right around one , if it 's  cuz it 's a expansion of log one  one minus epsilon or o is  is  one plus epsilon , or is it one plus  ? Well , there 's an epsilon squared over two and an epsilon cubed over three ,
OK.
and so forth. So if epsilon is bigger than one , then it diverges.
Oh.