i watched them play this live and checked out some live videos, mark's hand never leaves top of the bass neck, so u play the sam note just on G string instead of C string

: : Palm Mute
. : Sticatto
~ : Let ring
/ or  : Slide up or down (respectively)
(): Variation

Intro

F|----------------------
C|----------------------
G|----------------------
C|-3--3-2--2-3--3-3-2-2-

(not sure on the note counts, but I believe the first three are counts of eight)
F------------------------
C------------------------ Play 4x
G-----1>>-----3>-1>-(0>)-
C-0>>-----0>>------------

Chorus
(Play the G|0 note 12 times)
F----------------------------------------------------------
C----------------------------------------------------------
G--1-1-1-1-1-1-3-3-3-3-3-3-0>>-----1-1-1-1-1-1-3-3-3-3-3-3-
C----------------------------------------------------------

F-----------------------------
C-----------------------------
G-..-.--.8-.-.-..-.--.8-.-.-
C-00-0--0---0-0-00-0--0---0-0-

F-----------------------------------------------------------------
C-----------------------------------------------------------------
G--1-1-1-1-1-1-3-3-3-3-3-3-0>>-----1-1-1-1-1-1-3-3-3-10-10-10--7~-
C-----------------------------------------------------------------

F-----------
C-----------
G—3--------
C-------0---

Verse 2... Wait a while after chorus.
F-------------------
C-------------------
G--3---3---4---4----
C-----------------0-

F-------------------------------------------------
C----------------.--------------------------------
G-----.-------1--1----1-----.-------3---3---4---4-
C--0--0----0-------------3--3----3----------------

F-----------------------------------------------
C----------------.------------------------------
G-----.-------1--1-----1----.-------------------
C--0--0----0-------------3--3----3--3--3--2--2--

F----------------------
C----------------.-----
G-----.-------1--1---1-
C--0--0----0-----------

Triplets
F|--------------
C|--------------(x4)
G|...----...----   
C|333(x8)222(x8)
  :::    :::
 
F|----
C|----
G|----
C|-0~-

After short guitar riff
F|-----------------------
C|-----------------------(x4) 
G|-----------------------
C|10-8-7--0~-8~-0~-10-8~-

F|-------
C|-------
G|-------
C|10-8-7-


Repeat Chorus

Hold the “7” until guitar riff finishes
F|--||------------------------------------------ 
C|--||------------------------------------------(x3) 
G|--||--------..-.-.8-..-.-.8-..-.-.8--------
C|7~||10-8-7--00-0-0---00-0-0---00-0-0---10-8-7-

F|-------------------------------------------
C|-------------------------------------------(x1) 
G|--------..-.-.8-..-.-.8-..-.-.8-..-.----
C|10-8-7--00-0-0---00-0-0---00-0-0---00-0-0~-


Piano solo
F--------------------------------
C--------------------------------
G-/5~-----3~----1~------/3~------
C--------------------------------

Guitar Solo
(Play C|0,C|8 notes 8 times, and c|10 note 16 times)
G|---------------------------------------------------
C|---------------------------------------------------(x4) 
G|---------------------------------------------------
C|0>>-8>>-10>>>>-------------------------------------