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OrderSig
Returns the signature of the number field defined by
the given order.
Syntax:
L := OrderSig(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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