Am7    Bm7    Dm7     Em7
E|----------------------------|
B|----------------------------|
G|--5------7------10------12--|
D|--5------7------10------12--|
A|----------------------------|
E|--5------7------10------12--|

Guitar 1: (song starts here)
    
E|-----------------------------------0--|------------------------------------------|
B|--------------5-----------------5-----|--------------5-----------------5h8p5-----|
G|--------5/7------7--------5/7---------|--------5/7------7--------5/7---------h7--|
D|-----5---/7------------5---/7---------|-----5---/7------------5---/7-------------| x2
A|--------------------------------------|------------------------------------------|
E|--5------/7---------5------/7---------|--5------/7---------5------/7-------------|

let the Am7 pattern ring as you pick it, slide up to Bm7 so that rings as well. 
The other notes you are playing are just embellishments of those chords. 

then the progression moves up to Dm7 -> Em7...

E|--------------------------------------------|---------------------------------15---------|
B|----------------10-------------------12-----|----------------10-----------15------15--12-|
G|--------10/12------12--------10/12------12--|--------10/12------12-----------------------|
D|-----10---/12-------------10---/12----------|-----10---/12-------------15----------------|
A|--------------------------------------------|--------------------------------------------|
E|--10------/12----------10------/12----------|--10------/12----------13-------------------|

Then repeat from the beginning. This loops throughout the song, second guitar comes in here


Guitar 2

this follows along with the Am7 -> Bm7 part. 

E|----------------------------------------------------------------------------------|
B|--15--13--12------12--------------------------------------------------------------|
G|--------------14------12----------------------------------------------12p-11--11--|
D|--------------------------14--14--12h-14------14------14------14--14---------(12)-| x2
A|------------------------------------------12--------------------------------------|
E|--------------------------------------------------15------12----------------------|

then do this for the Dm7 -> Em7 part. Listen closely to the track for this

E|------------0--------------------------0---------------------|
B|-------------------------10----------------------------------|
G|-------------------------------------------------------------|
D|----10--12-------10--12--------10--12-------10----12--10--9--|
A|-------------------------------------------------------------|
E|-------------------------------------------------------------|

This loops like Guitar 1. Guitar 3 track comes in here


Guitar 3

follows Am7 -> Bm7 progression

E|----------12------12----------12------12----------12------12----------12------12--|
B|------12------12----------12------12----------12------12----------12------12------|
G|--14------------------14------------------14------------------14------------------|
D|----------------------------------------------------------------------------------| x2
A|----------------------------------------------------------------------------------|
E|----------------------------------------------------------------------------------|

follows Dm7 -> Em7 progression

E|----------17------17----------17------17----------17------17----------17------17--|
B|------17------17----------17------17----------17------17----------17------17------|
G|--19------------------19------------------19------------------19------------------|
D|----------------------------------------------------------------------------------|
A|----------------------------------------------------------------------------------|
E|----------------------------------------------------------------------------------|

This loops like guitars 1 & 2

Legend:

h   = Hammer On
p   = Pull Off
/   = Slide Up
(x) = Alternate note to play