  Blair, Campisi, Taylor, and Tomova defined the L-invariant L(F) of a knotted
surface F, using pants complexes of trisection surfaces of bridge trisections
of F. After that, Aranda, Pongtanapaisan, and Zhang introduced the L*-invariant
L*(F) using dual curve complexes instead of pants complexes. In this paper, we
determine both of L-invariant and L*-invariant of any finite distant sum of
standard surfaces, and this is the first example of knotted surfaces whose
bridge numbers and these invariants can be arbitrary large.
