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NumberFieldRegulator
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NumberFieldRegulator
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BUILT-IN MATHEMATICA SYMBOL
Algebraic Number Fields
Tutorials »
|
NumberFieldSignature
NumberFieldDiscriminant
NumberFieldClassNumber
NumberFieldFundamentalUnits
NumberFieldRootsOfUnity
See Also »
|
Algebraic Number Theory
More About »
NumberFieldRegulator
NumberFieldRegulator
[
a
]
gives the regulator of the field
generated by the algebraic number
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the regulator of the field
:
Find the regulator of the field
:
In[1]:=
Out[1]=
Scope
(4)
Radical objects:
Root
objects:
AlgebraicNumber
objects:
NumberFieldRegulator
automatically threads over lists:
Applications
(2)
Find the volume of the fundamental domain of the lattice generated by fundamental units:
The Dirichlet L-functions at
for the real primitive character
Mod
:
Properties & Relations
(2)
The regulator of an imaginary quadratic field is
:
Use
ToNumberField
to find the regulator of the field
:
SEE ALSO
NumberFieldSignature
NumberFieldDiscriminant
NumberFieldClassNumber
NumberFieldFundamentalUnits
NumberFieldRootsOfUnity
TUTORIALS
Algebraic Number Fields
MORE ABOUT
Algebraic Number Theory
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