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DOCUMENTATION CENTER SEARCH
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Algebraic Number Theory
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Built-in
Mathematica
Symbol
Algebraic Number Fields
Tutorials »
|
AlgebraicNumberNorm
NumberFieldFundamentalUnits
AlgebraicIntegerQ
See Also »
|
Algebraic Number Theory
New in 6.0: Number Theory & Integer Functions
More About »
NumberFieldNormRepresentatives
NumberFieldNormRepresentatives
[
a
,
m
]
gives a list of representatives of classes of algebraic integers of norm
in the field
generated by the algebraic number
.
MORE INFORMATION
Algebraic integers are considered to be in the same class if their quotient is a unit in the field
.
All elements of the number field
with norm
can be obtained from the representatives by multiplication by units in the field.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the representatives of classes of algebraic integers of norm
in
:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(4)
Properties & Relations
(5)
SEE ALSO
AlgebraicNumberNorm
NumberFieldFundamentalUnits
AlgebraicIntegerQ
TUTORIALS
Algebraic Number Fields
MORE ABOUT
Algebraic Number Theory
New in 6.0: Number Theory & Integer Functions
New in 6