Standard tuning
() = let note ring

Intro and Verses:

G |—————————————————|—————————————————|—————————————————|—————————————————|
D |—————————————————|—————————————————|—————————————————|—————————————————|
A |00000000—55555555|99999999—77777777|00000000—77777777|99999999—77777777|
E |—————————————————|—————————————————|—————————————————|—————————————————|

Verse part 2 (not sure if you'd call this the chorus?)

"But why this weakness, no one knows..."

G |—————————————————————|
D |—9————7————5————5————|
A |7—7——5—5——3—3——3——3——| x 2
E |———88———66———44————44|
   
Play Verse and Verse part 2 again

Then play the Verse once more but end on the 9th fret of the A string (F#) and let it ring 

The bass drops out for the "Cover your ears, shade your eyes..." part and picks back up after "those who'll change you if they can" line (3:26). 
      
G |———————————————————————|
D |——————5—2()————————————|
A |————2——————0—22—0—5—0—2| x until the end of the song. Live, they end on 3rd fret E string (G). 
E |0—3————————————————————|