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AlgebraicNumberTrace
MinimalPolynomial
NumberFieldNormRepresentatives
NumberFieldClassNumber
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Algebraic Number Theory
Number Theoretic Functions
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AlgebraicNumberNorm
AlgebraicNumberNorm
[
a
]
gives the norm of the algebraic number
a
.
MORE INFORMATION
The norm of
a
is defined to be the product of the roots of its minimal polynomial.
AlgebraicNumberNorm
[
a
,
Extension
->
]
finds the norm of
a
over the field
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Norms of algebraic numbers:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
In[3]:=
Out[3]=
Scope
(4)
Options
(1)
Applications
(1)
Properties & Relations
(3)
Neat Examples
(1)
SEE ALSO
AlgebraicNumberTrace
MinimalPolynomial
NumberFieldNormRepresentatives
NumberFieldClassNumber
TUTORIALS
Algebraic Number Fields
MORE ABOUT
Algebraic Number Theory
Number Theoretic Functions
New in 6.0: Symbolic Computation
New in 6.0: Mathematics & Algorithms
New in 6.0: Number Theory & Integer Functions
New in 6
© 2008 Wolfram Research, Inc.
] finds the norm of a over the field ![Q[theta]](Files/AlgebraicNumberNorm.en/3.gif "Q[theta]"){kind=small}
.
EXAMPLES
Basic Examples 
Scope 