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OrderSig

Returns the signature of the number field defined by the given order.

Syntax:

L := OrderSig(o);

list
  L  
order
  o  

See also:  PolySig

Description:

Computes the signature of the polynomial which defines an equation suborder of the given order o. The two entries of \L are the number of real roots and one half of the number of complex roots of the corresponding generating polynomial. For further information see the description of PolySig.


Example:

Compute the signature of x^4 + 73x^2 - 280x - 2399.

kash> o := Order (Poly(Zx,[1,0, 73, -280, -2399]));
Generating polynomial: x^4 + 73*x^2 - 280*x - 2399

kash> L := OrderSig (o);
> [ 2, 1 ]


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