complex – Simplifying away imaginary part


I’m solving the following eigensystem, and I get result which looks complex-valued. I expect the result to have 0 imaginary part, can anyone see a way to simplify it away?

B = {{17/3, 1/3, 1/3, 1/3}, {1/3, 1/3, 1/3, 1/3}, {1/3, 1/3, 1/3, 1/
    3}, {1/3, 1/3, 1/3, 82/3}};
A = {{5/3, 0, 1/3, 0}, {0, 5/3, 0, 1/3}, {1/3, 0, 10/3, 0}, {0, 1/3, 
    0, 10/3}};
First /@ Eigensystem[{B, A}, 1]