  This article proves the bound $|\zeta(\frac{1}{2} + it)|\leq 0.732
t^{\frac{1}{6}} \log t$ for $t \geq 2$, which improves on a result by Cheng and
Graham. We also show that $|\zeta(\frac{1}{2}+it)|\leq 0.732
|3.3081+it|^{\frac{1}{6}} \log |3.3081+it|$ for all $t$.
