  We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for
the low energy effective field theory (LEFT), which parametrize various physics
effects between the QCD scale and the electroweak scale. The independence of
the operator basis regarding the equation of motion, integration by parts and
flavor relations, is guaranteed by our algorithm, whose validity for the LEFT
with massive fermions involved is proved by a generalization of the
amplitude-operator correspondence. At dimension 8 and 9, we list the 35060
(758) and 704660 (3696) operators for three (one) generations of fermions
categorized by their baryon and lepton number violations $(\Delta B, \Delta
L)$, as these operators are of most phenomenological relevance.
