Linux Mint upgrade partially broken, how can I repair it?

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http://unix.stackexchange.com – I recently upgraded from Linux Mint 15 Olivia to Linux Mint 16 Petra. I know Mint doesn't recommend upgrades, but this is my third upgrade, the last two went fine, and I much prefer it. The upgrade went mostly fine, but for some reason I can't get the Mate desktop. I have Cinammon and Gnome, so I can use my computer, but when I try to install Mate, I get errors. Also, I can't seem to open any repository manager, whether via Synaptic or from the command line. Here is some output from when I try and install Mate: $ sudo apt-get install mint-meta-mate Reading package lists... Done Building dep (HowTos)