Intro & verses 1&4...
E|-----------------|-----------------|-----------------|------------------|
B|-----------------|-----------------|-----------------|------------------|
G|-----------------|-----------------|-----------------|------------------|
D|-----------------|-----------------|-----------------|-5------------5---|
A|-2-----------2-3-|-2-----------2-3-|-6-----------6\3-|-3--33333333--3-3-|
E|-0--00000000-0-1-|-0--00000000-0-1-|-4--44444444-4\1-|----------------1-|
    q  ssssssss e e   sim.

  Something similar to this riff is played over the first figure
  (with a different ending the second time):
E|------------------|------------------|------------------|-------------------|
B|------------------|------------------|------------------|-------------------|
G|-9---9/10--9---7--|-9---9/10--9---7--|-6---6/7---6---7--|-12--12/13--12--10-|
D|------------------|------------------|------------------|-------------------|
A|-7---7/8---7---5--|-7---7/8---7---5--|-4---4/5---4---5--|-10--10/11--10--8--|
E|------------------|------------------|------------------|-------------------|

  Then this 2x before the first verse: (12/8 meter)
E|----------------------------|----------------------------|
B|----------------------------|----------------------------|
G|----------------------------|----------------------------|
D|--------------------------5-|---------------5------------|
A|-2------2------3------6-3-3-|-2------2-3333-3------3-6-3-|
E|-0-0000-0-1111-1-4444-4-1---|-0-0000-0--------1111-1-4-1-|
    e ssss e ssss e ssss e e e   e ssss e ssss e ssss e e e

  2nd, 3rd verses...
E|-----------------|-----------------|-----------------|-------------------|
B|-----------------|-----------------|-----------------|-------------------|
G|---------5-------|---------5-------|---------5-------|---------5---------|
D|-6---3/6-5---6\3-|-6---3/6-5---6\3-|-6---3/6-5---6\3-|-6---3/6-5---------|
A|-6---3/6-3---6\3-|-6---3/6-3---6\3-|-6---3/6-3---6\3-|-6---3/6-3-5-6\3---|
E|-4-0-1/4---0-4\1-|-4-0-1/4---0-4\1-|-4-0-1/4---0-4\1-|-4-0-1/4---3-4\1-0-|
    e e e e e e e e   sim.                                        e e s s e

  Between 2nd, 3rd verses (12/8 meter):
E|--------------------------| This is so atonal you could play just about
B|--------------------------| anything and it would sound close, which makes
G|--------------------------| it tough to figure out...
D|-----2-------3---------5--| (plus my tape is *really* warn through in
A|---------------4-----4----| places--literally hundreds of listens will do
E|-0-3---5-3-4-----5-3------| that to a tape)
    e e e e e e e e e e e e

  Before verse 4 (12/8 meter still):
E|-------------------------|-------------------------|
B|-------------------------|-------------------------|
G|-------------------------|-------------------------|
D|-6-----------7-8---------|-6-------------2-3-------|
A|---5-------8-----7-6-----|---5---------3-----3-----|
E|-----4-3~~-----------6-7-|-----4-3~~-2---------4-3-|
    e e e q   e e e e e e e   e e e q   e e e e e e e

  Steer's solo ("Human Jigsaw"): (rhythm guitar is 2nd riff, 4x)
E|------------------------------------------| (PM this ascending lick)
B|------------------------------------------|
G|----------------------------------9--9----|
D|--------8----8-10-8--10-11-10-11---11-11--|
A|-10-9-10---10-----------------------------|
E|------------------------------------------|

E|--------------------------------------------|
B|---------------------12--12-13--12-13-14-12-|
G|-8-9-8-9-11-13-11-13---13-------------------|
D|--------------------------------------------|
A|--------------------------------------------|
E|--------------------------------------------|

E|----------------------------|
B|-14h17p14-17b19r17p14-------| etc.
G|----------------------17-16-|
D|----------------------------|
A|----------------------------|
E|----------------------------|

  Then this riff, which repeats under Amott's lead:
E|-----------------------------| (The last time, instead of playing the last
B|-----------------------------| C#5 onwards, just play an E5(VII))
G|-----------------------------| (D5 slide to E5 is just a grace note)
D|----/9-8-----6-7--7/9-6------|
A|-2--/7-6--9--4-5--5/7-4--7-6-|
E|-0--------7--------------5-4-|

  After Amott's solo...
E|---------|----------|---------|----------------|
B|---------|----------|---------|----------------|
G|---------|----------|---------|----------------|
D|-----9---|---11-7-8-|-----9---|--------7/8-8~~-|
A|---7---9-|------7-8-|---7---9-|----------------|
E|-0-------|-9----5-6-|-0-------|-5/6-6~~--------|
    q q q q   q q  q q   q q q q   e e q  e e q