  We present version X of the hammurabi package, the HEALPix-based numeric
simulator for Galactic polarized emission. Improving on its earlier design, we
have fully renewed the framework with modern C++ standards and features.
Multi-threading support has been built in to meet the growing computational
workload in future research. For the first time, we present precision profiles
of hammurabi line-of-sight integral kernel with multi-layer HEALPix shells. In
addition to fundamental improvements, this report focuses on simulating
polarized synchrotron emission with Gaussian random magnetic fields. Two fast
methods are proposed for realizing divergence-free random magnetic fields
either on the Galactic scale where a field alignment and strength modulation
are imposed, or on a local scale where more physically motivated models like a
parameterized magneto-hydrodynamic (MHD) turbulence can be applied. As an
example application, we discuss the phenomenological implications of Gaussian
random magnetic fields for high Galactic latitude synchrotron foregrounds. In
this, we numerically find B/E polarization mode ratios lower than unity based
on Gaussian realizations of either MHD turbulent spectra or in spatially
aligned magnetic fields.
