The Anomalous Dimension of Twist-3 Operators in $$\mathcal{N}=4$$ SYM Theory

The anomalous dimension of twist-3 operators of arbitrary spin in planar $$\mathcal{N}=4$$ SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation with the double-logarithmic equation is discussed.