Please don't attach a large and slow 42 page file if the problem is already located at page 5 or 6!
I see no reason why you should use interpolation!
You missed to type an exponent 2, so the second equation does not seem to be considered at all.
After fixing this, your solve block can't find solutions for a wider range of angle phi.
Do you expect solutions in the full range of 0° to 360° ??
And in the ranges where a solution is found, you again see discontinuities. Reason seems to be that your system of equations has at most two different real solutions and it depends on the guess values which one Primes numeric algorithm will arrive at. Can you name any constraint which would make the solution unique? Then you could add this constraint in the solve block.
I need graph something like this from B to F. I put Square 2 but software mentioned error no solution was found. Try changing the guess values or the value of TOL or CTOL
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