Here is the link to the latest firmware for the quad core AMPE A10 A31 tablet.
Here is a mirror for the same file.
Dev-Host - Ampe A10 4.1.1 Allwinner A31 20130309.rar - The Ultimate Free File Hosting / File Sharing Service
i uploaded two versions, one original image that can only be used with the included pheonix suite beta, and one that i repacked which works with the latest pheonix suite 1.6.
Second one is just for convenience if you already have pheonix suite installed, but first one is the pheonix suite version given by ampe for that particular image.
Dev-Host - Ampe A10__REPACKED__Allwinner A31 20130309.zip - The Ultimate Free File Hosting / File Sharing Service