  In the lattice approach to Loop Quantum Gravity on a fixed graph computations
tend to be involved and are rarely analytically manageable. But, when
interested in the expectation values of coherent states on the lattice which
are sharply peaked on isotropic, flat cosmology several simplifications are
possible which reduce the computational effort. We present a step-by-step
algorithm resulting in an analytical expression including up to first order
corrections in the spread of the state. The algorithm is developed in such a
way that it makes the computation straightforward and easy to be implementable
in programming languages such as Mathematica. Exemplarily, we demonstrate how
the algorithm streamlines the road to obtain the expectation value of the
euclidean part of the scalar constraint and as a consistency check perform the
analytic computation as well. To showcase further applications of the
algorithm, we investigate the fate of the effective dynamics program custom in
Loop Cosmology and find that the next-to-leading order corrections can {\it
not} be used as corrections for an effective Hamiltonian.
