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NumberFieldIntegralBasis
NumberFieldClassNumber
AlgebraicNumberTrace
NumberFieldSignature
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NumberFieldDiscriminant
NumberFieldDiscriminant
[
a
]
gives the discriminant of the field
generated by the algebraic number
.
MORE INFORMATION
For a number field with integral basis
the discriminant is the determinant of the matrix of traces of products
in
.
The discriminant of a number field is always an integer.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the discriminant of the number field
:
In[1]:=
Out[1]=
Scope
(4)
Applications
(2)
Properties & Relations
(2)
SEE ALSO
NumberFieldIntegralBasis
NumberFieldClassNumber
AlgebraicNumberTrace
NumberFieldSignature
NumberFieldRegulator
TUTORIALS
Algebraic Number Fields
MORE ABOUT
Algebraic Number Theory
Number Theoretic Functions
Number Theory
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.
![Q[a]](Files/NumberFieldDiscriminant.en/3.gif "Q[a]"){kind=small}
generated by the algebraic number 
.
![Q[a]](Files/NumberFieldDiscriminant.en/7.gif "Q[a]"){kind=small}
EXAMPLES
Basic Examples 
Scope 