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Here are two reference sheets for computing Hom sets in derived categories, which you may find useful: 

<a href="https://www.math.lsu.edu/~pramod/tc/ps/psqr.pdf">Perverse Sheaves Quick Reference Guide`enter preformatted text here`</a> 

<a href="https://www.math.lsu.edu/~pramod/tc/14s-7260/dercat.pdf">Derived Categories Cheat Sheet</a>

Here are two more references: <a href="https://www.math.lsu.edu/~pramod/tc/ps/psln.pdf">Applications of Homological Algebra</a> by Pramod Achar and <a href="http://arxiv.org/abs/math/0501094">Derived Categories of Sheaves: A Skimming</a> by Andrei C$\breve{a}$ld$\breve{a}$raru.