Difference between Lop Off and Heave Up

LOP OFF vs HEAVE UP: VERB

Cut into, Exscind, Keep apart, Serpette, Forcarve, Succision, Do away with, Prune, Clear away, Snathe, Chop down, Knock over, Whittle down, Chop off, Cut off

Rake up, Rake in, Keep down, Do away with, Hike up, Chuck out, Take hold, Reel off, Upblow, Whittle down, Carry off, Knock over, Heft up, Heft, Heave

Forcut, Cut into, Exscind, Keep apart, Serpette, Forcarve, Succision, Do away with, Prune, Clear away, Snathe, Chop down, Knock over, Whittle down, Cut off

Keep apart, Parbuckle, Rake up, Rake in, Keep down, Do away with, Hike up, Chuck out, Take hold, Reel off, Upblow, Whittle down, Carry off, Knock over, Heave

The Florentines usually asserted their power over the local nobles by ordering them to lop off their towers.
Sow seed in spring, then lop off the aboveground plant parts after the first frost and dig the roots.
Bill only tried to lop off a few branches, and to cut down some of the rank undergrowth.
Do you not know that I could allow you to lop off my head right now?
Those who deny that Jesus is God lop off the very branch they sit upon to make their denial.
In making a statement, lop off branches; stick to the main facts in your case.
You can lop off the ends of the bones if necessary.
Ep is fucking Conan lop off your head, volcano melting awesomeness piece as!
And if you lop off the branches, will they not die also?
We need to lop off that top branch of the tree.

And far upon the beach heave up the sand; Then backward rapidly they take their way, Repulsed from upper ground, and seek the sea.