Moduli stabilization in type IIB orientifolds at h2,1 = 50

We study moduli stabilization in Calabi-Yau orientifold compactifications of type IIB string theory with O3- and O7-planes. consider a three-fold Hodge number $h^{2,1}=50$ stabilize all axio-dilaton complex-structure by three-form fluxes. This is challenging task, especially for large moduli-space dimensions. To address this question we develop an algorithm to generate $10^5$ flux vacua small $N_{\rm flux}$. Based on recent results Crin\`o et al. estimate the bound imposed tadpole-cancellation condition as flux}\leq \mathcal O(10^3)$, however, smallest obtain our search order flux}=\mathcal O(10^{4})$. implies, particular, that solutions F-term equations data set tadpole conjecture satisfied.