I need some help here!!

2003 STR...there are two vacuum lines that come off of the intake elbow right beside the water bypass hose....they seem to go to the supercharger...one is bigger than the other...any idea what they are?? The JEPC pictures are horrible and they don't seem to show it anywhere. All the hoses are just hanging in mid-air and the descriptions don't say "from here to here" they just say "hose".

I'm pulling my hair out here...any help appreciated.