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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.
EXAMPLESCLOSE ALL
Basic Examples   (1)
Find the discriminant of the number field :
Find the discriminant of the number field :
In[1]:=
Click for copyable input
Out[1]=
Scope   (4)
Radical expressions:
Root objects:
NumberFieldDiscriminant automatically threads over lists:
Applications   (2)
Rational primes that ramify in :
Check that is the ring of integers of :
Properties & Relations   (2)
Find the discriminant of the number field :
The discriminant of a number field is always congruent to 0 or 1 modulo 4:
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