For an algebraic curve, the total number of groups of a
consisting in a point of multiplicity
, one of multiplicity
, ..., one of multiplicity
, where






and where
points have one multiplicity,
another, etc., and

is

consisting in a point of multiplicity
, one of multiplicity
, ..., one of multiplicity
, where 


(1)



(2)
and where
points have one multiplicity,
another, etc., and 
(3)
is

(4)

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