Reductions of Crystalline Representations for Small Weights

Abstract: We compute explicit reductions of crystalline representations of the absolute Galois group $\text{Gal}(\overline{\mathbb{Q}}p/\mathbb{Q}{p^f})$ with labeled Hodge-Tate weights in the range $p+2\le k_{0}\le 2p-4$ and $2\le k_i\le p-3$ for $1\le i\le f-1$.