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multiplicity

the multiplicity (degree) of a ring or quotient object

Syntax
multiplicity(R: RING): INT

Description
This function computes the multiplicity (or degree) of M, i.e., the leading coefficient of the Hilbert polynomial multiplied by the factorial of the degree of the Hilbert polynomial. M can be a module or a quotient.

Example
/**/  use R ::= QQ[t,x,y,z];
/**/  multiplicity(R/ideal(x,y,z)^5);
35

See Also