If I knew what you were trying to do, I wouldn't be asking you questions.
Argh. It's a pot core that's designed to have all its turns inside the two halves of the pot core on a bobbin. What you've apparently done is used it in a non-standard and unpredictable manner by shoving a wired through the hole normally reserved for either a ferrite adjustment slug, or a nylon mounting screw. The spec sheet Al value is worthless.
However, all is not lost. You can take 1/2 of a core, shove a wire through the hole, and measure the inductance. That's inductance as in uH not the calculated reactance or guessed impedance. I presume that there are 42 half-cores so just multiplying the measured value by 42 will give a tolerable approximation of the total inductance. You could also measure the total inductance of all 42 cores to see if that really works.
Note that I'm suggesting that you measure the inductance with a single wire going through the cores, and not with a loop produced by shorting one end of the coax cable. That takes some of the mystery out of the measurements. You can see what shorting one end does later.
I have several old Ferroxcube catalogs from the 1970's and 1980's. You can't have them.
The only thing I can be sure of here is that the resistive component is *NOT* 3000 ohms because it can be directly measured with an ohms-guesser. The number is (obviously) wrong because nowhere in your circuit is anything resembling a resistor of that high a value. If you work backwards and assume a DC resistance of zero, then Z = Xl. I'm still not sure what's causing the 22 degree phase angle. My best guess(tm) is that it's the capacitance of the coax cable, but that should have disappeared when you shorted one end of the coax. Dunno.
My hand is firmly attached to my arm and is nowhere near your setup. Perhaps you meant your hand?
I compounded my culinary error by eating about 1/3 a salted dark chocolate bar before going to bed. It's now 7AM and I've had about 3 hours of erratic sleep due to the caffeine overdose. I've done this before and should have known better, but it was sooooooo good. At least I'm now caught up on paying my bills and reading various reports. My next challenge will be to see if I can drive to the office without falling asleep.