We study the most promising signals of Constrained Minimal Supersymmetry detectable at a luminosity upgraded 2 TeV Fermilab Tevatron collider. Using a full event-level Monte Carlo based on Pythia/Jetset, we simulate the trilepton signal examining in detail the effect of constraints on the parameter space. We also simulate the monolepton and dilepton signals, the missing E_T + jets signal, and the signals of stop production in supersymmetry all with full Standard Model backgrounds with realistic detector cuts. We find that large fractions of parameter space can be probed (or eliminated if no signal is found), but mass limits on charginos and neutralinos are not possible based solely on the trilepton signal. Detection efficiencies depend strongly on supersymmetry parameters beyond simply the neutralino and chargino masses; analyses (experimental or theoretical) that do not include this will draw misleading conclusions. Finally, we comment on how searches at LEP II will complement searches at Fermilab.

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