let be two functions $ f(x) $ and $ g(x) $ with an infinite set of roots $ a_{n} $ and $b_{n} $ so $ f(a_{n}) =0= g(b_{n}) $
also they satisfy the same functional equation $ f(1-s)=f(x) $ and $ g(s)=g(1-s) $
then we use some numerical method to evaluate the roots and we check that the first 100 roots agree so can we conclude that $ f(x)= g(x) $ or at least $ f(x)=h(x)g(x) $ they are proportional function