Hi Wirechief,
I was hoping someone would jump in on this question by now that knew what they were talking about, because I sure don't. It has been so long since I worked with Laplace transforms, I am just lucky enough to remember how to spell the words. Don't remember much else though. I took this class back around 1970 and haven't used it since, so I am just a little rusty.
Now, with that stated, I will try to limp through a basic answer to your question about poles and zeros.
Any filter network having a combination of specific inductance, capacitance, and resistances can be displayed in a mathematical equation having components in both the denominator and numerator. This equation will be the math equivalent of the actual filter or number of filter combinations.
Now, with that said, then the poles and zeros are determined by the solution to the equation(s) of the filter network. The zeros, I think are the solutions to the numerator and the poles are solutions to the denominator.
One can sort of think of the number of poles and zeros as the number of filters. My guess, and it is just a guess is the 6 poles refer to a high pass filter having 6 stages.
Again, don't take this info as being exact, but hopefully, it helps in explaining a little.
A thorough explanation really would require a working knowledge of differential equations and laplace transforms, something that faded out of my memory years ago.
Reg