One of the roles of the new Main Injector ring, in the second phase of the Fermilab upgrade, is to deliver year round the slow extracted 126 GeV test beams. The half-integer slow extraction system design and results from a Monte-Carlo simulation of fast spill are presented. The simulation was performed with a computer tracking program based on the TEVLAT program with a large number of particles (up to 1000). Particle tracking included the systematic errors produced by the magnetic multipoles within the diploles and quadrupoles as well as random multipole errors.