  We examine the multifold complexity and Loschmidt echo for an inverted
harmonic oscillator. We give analytic expressions for any number of precursors,
implementing multiple backward and forward time evolutions of the quantum
state, at the leading order in the perturbation. We prove that complexity is
dominated by the longest permutation of the given time combination in an
alternating ``zig-zag'' order, the exact same result obtained with holography.
We conjecture that the general structure for multifold complexity should hold
true universally for generic quantum systems, in the limit of a large number of
precursors.
