For this song, you need a 5-string. Tune the E up to G and the B up to D.
16th notes
Intro x2
G|15-14-14-14-14-14-15-14-14-14-14-14-15-14-14-14-| x2
D|------------------------------------------------|
A|------------------------------------------------|
G|------------------------------------------------|
D|------------------------------------------------|
G|15-12-12-12-12-12-15-12-12-12-12-12-15-12-12-12-| x2
D|------------------------------------------------|
A|------------------------------------------------|
G|------------------------------------------------|
D|------------------------------------------------|
Riffage x2
G|-----------------------------------|
D|-----------------------------------|
A|0-0-0-12-0-0-13-0-0-12-0-0-13-0-12-| x2
G|-----------------------------------|
D|-----------------------------------|
G|-----------------------------------|
D|-----------------------------------|
A|-----------------------------------|
G|0-0-0-12-0-0-12-0-0-12-0-0-12-0-12-| x2
D|-----------------------------------|
Drum fill
Heavy bit x2
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
G|--------------------------------|
D|0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-| x3
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
G|--------------------------------|
D|0-0-0-0-0-0-0-0-0-0-8-8-8-8-8-8-|
Verse x2 - it's the same rhythm as the guitar part, listen to the song and you'll get it
G|----------------------------------------------------------------|
D|----------------------------------------------------------------|
A|5-5-5-5-x-x-5-5-5-5-x-x-5-5-x-x-5-5-5-5-x-x-5-5-5-5-x-x-5-5-x-x-|
G|----------------------------------------------------------------|
D|----------------------------------------------------------------|
G|-----------|
D|-----------|
A|5-5-x-x-5~-|
G|-----------|
D|-----------|
[ Tab from: https://www.guitartabs.cc/tabs/m/muse/assassin_btab_ver_2.html ]
G|----------------------------------------------------------------|
D|----------------------------------------------------------------|
A|3-3-3-3-x-x-3-3-3-3-x-x-3-3-x-x-3-3-3-3-x-x-3-3-3-3-x-x-3-3-x-x-|
G|----------------------------------------------------------------|
D|----------------------------------------------------------------|
G|------------------------------------------------------------------------------------|
D|------------------------------------------------------------------------------------|
A|10-10-10-10-x-x-10-10-10-10-x-x-10-10-x-x-10-10-10-10-x-x-10-10-10-10-x-x-10-10-x-x-|
G|------------------------------------------------------------------------------------|
D|------------------------------------------------------------------------------------|
G|---------------|
D|---------------|
A|10-10-x-x-10~\-|
G|---------------|
D|---------------|
G|----------------------------------------------------------------|
D|----------------------------------------------------------------|
A|5-5-5-5-x-x-5-5-5-5-x-x-5-5-x-x-5-5-5-5-x-x-5-5-5-5-x-x-5-5-x-x-|
G|----------------------------------------------------------------|
D|----------------------------------------------------------------|
Chorus x2
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
G|--------------------------------|
D|3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-| x3
G|------------------------------------------------|
D|------------------------------------------------|
A|------------------------------------------------|
G|------------------------------------------------|
D|10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-|
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
G|--------------------------------|
D|5-5-5-5-5-5-5-5-5-5-5-5-5-5-5-5-| x3
G|--------------------------------|
D|--------------------------------|
A|--------------------------------|
G|--------------------------------|
D|0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-0-|
Order goes like this
Intro x2
Riffage x2
Heavy Bit x2
Verse x2
Chorus x2
Riffage x2 (but miss out the last bar for the drum fill)
Heavy Bit x2
Verse
Chorus x2
Riffage x2
End on low D.