Ok just to start off this is my first tab. It's the best cover I've ever heard and when I play it i play it this way
also, theres a different kind of palm mute lots of people use where you set any finger on your left hand (for righties)
gently over the first fret on E  A and D. that will be noted as X, whereas other mutes will be a period

key
alt. mute=X
palm mute= .
slides= /
hammer-ons= h

intro
e--------------------------------------------
B------------------------------------------
G------------------------------------------
D-x-x-x-x-x-x-x-x-x-x-x-x-x-x-x--  2 times
A-x-x-x-x-x-x-x-x-x-x-x-x-x-x-x--
E-x-x-x-x-x-x-x-x-x-x-x-x-x-x-x--  (thats 32 in all, 16x2)
Riff A
e--------------------------------------------------------------------------------------------
B--------------------------------------------------------------------------------------------
G---------------------------------------------------------------------------------------------
D-------7---------5-------------5h7--------------7------------5-------------7--8/5-----
A-------5---------3-------------------5h7--------5------------3-------------5--6/3----- X2
E--1-1------1-1----------1-1---------------1-1---------1-1----------1-1----------------
    .  .       .  .           .  .               . .          .   .          .  .

e-----2----------------------------3--------------------------------------------------
B----3---------------------------5--------------------------------------------------
G----0-------------------------3----------------------------------------------------
D----0------------------------5---------------------------------------------------
A----2----------------------3--------------------------------------------------
E------------------------------------------------------------------------------

Over "welcome my son. welcome. to the machine"etc. 
e----------------------------------------------------------------------
B----------------------------------------------------------------------
G---------------------------------------------------------------------
D-x-x-x-x-x-x-x-x--------x-x-x-x-x-x-x-x-x-x-x-x-x-x-x 
A-x-x-x-x-x-x-x-x-8/9/7x-x-x-x-x-x-x-x-x-x-x-x-x-x-x
E-x-x-x-x-x-x-x-x-8/9/7x-x-x-x-x-x-x-x-x-x-x-x-x-x-x
 
                                                   Cm7
 You've been in the pipeline filling in time 
Emadd9
provided with toys and scouting for boys
C
you bought a guitar to punish your ma
Emadd9
And you didn't like school, and you know you're nobody's fool 
C Cmaj7     Emadd9   Cmaj7    Em/F# 
so welcome.... to the machine

repeat riff A
 
C Cmaj7 Emadd9 Cmaj7     Em/F# 
so welcome.... to the machine

Riff A again

e-----------------------------------------------------------------------------
B---------------------------------------------------------------------------
G----11-11-11-11-1313-13-13-13-15-15-15-15/17-17-17-17-17
D-----x--x---x-x-x--x-x---x----x---x--x---x---x---x-x---x----x--x-x      2 times with keyboard between
A-----9--9--9-9-9/11-11-11-11-11/13-13-13-13/15-15-15-15-15-
E------------------------------------------------------------------------------
Half of this over solo I'll tab when i get around to it
Em Em/F# Em/G Em/A C/G Esus2 Em Em/F# Em/G Em/A C/G Esus2 C D6+9 C D6+9 Em Em/F# Em/G Em/A C/G Esus2 
e----------------------------------------------------------------------
B----------------------------------------------------------------------
G---------------------------------------------------------------------
D-x-x-x-x-x-x-x-x--------x-x-x-x-x-x-x-x-x-x-x-x-x-x-x 
A-x-x-x-x-x-x-x-x-8/9/7x-x-x-x-x-x-x-x-x-x-x-x-x-x-x
E-x-x-x-x-x-x-x-x-8/9/7x-x-x-x-x-x-x-x-x-x-x-x-x-x-x
then riff A a whole bunch