Just for your information, Debian 7.1.0 during installation says that computer needs rtl_mic/rtl8168e3.fw, which is in their non-free repository.
http://packages.debian.org/wheezy/firmware-realtek
At any case, wired connection works perfectly with Trisquel. This is the ethernet entry from lspci
Ethernet controller: Realtek Semiconductor Co., Ltd. RTL8111/8168 PCI Express Gigabit Ethernet controller (rev 07)
3G cards | 32 |
Acquisition cards | 34 |
Bluetooth | 56 |
Ethernet cards | 169 |
Fingerprint readers | 11 |
Host Controllers | 170 |
Modems | 18 |
Notebooks | 784 |
Printers | 125 |
RAID adapters | 20 |
Scanners | 24 |
SD card readers | 56 |
Sound cards | 140 |
Video cards | 341 |
Webcams | 132 |
Wifi cards | 228 |
TOTAL | 2340 |