Algebraically overtwisted tight 3-manifolds from +1 surgeries

We execute Avdek's algorithm to find many algebraically overtwisted and tight 3-manifolds by contact +1 surgeries. In particular, we show that a contact 1/k surgery on the standard contact 3-sphere along any positive torus knot with the maximum Thurston-Bennequin invariant yields an algebraically overtwisted and tight 3-manifold, where k is a positive integer.