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In the lattice approach to Loop Quantum Gravity on a fixed graph computationstend to be involved and are rarely analytically manageable. But, wheninterested in the expectation values of coherent states on the lattice whichare sharply peaked on isotropic, flat cosmology several simplifications arepossible which reduce the computational effort. We present a step-by-stepalgorithm resulting in an analytical expression including up to first ordercorrections in the spread of the state. The algorithm is developed in such away that it makes the computation straightforward and easy to be implementablein programming languages such as Mathematica. Exemplarily, we demonstrate howthe algorithm streamlines the road to obtain the expectation value of theeuclidean part of the scalar constraint and as a consistency check perform theanalytic computation as well. To showcase further applications of thealgorithm, we investigate the fate of the effective dynamics program custom inLoop Cosmology and find that the next-to-leading order corrections can {\itnot} be used as corrections for an effective Hamiltonian.

Algorithmic approach to Cosmological Coherent State Expectation Values in LQG