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OrderDisc

Returns the discriminant of the given order.

Syntax:

D := OrderDisc(o);

integer or ideal
  D  
order
  o  
over Z or over a maximal order

See also:  OrderDisc, PolyDisc

Description:

Returns the discriminant of the order o given over {\Bbb Z} or over a maximal order. The discriminant of an absolute order is a rational integer, of a relative order an ideal.


Example:

Compute the discriminant of an order over {\Bbb Z}.

kash> o := Order (Poly (Zx,[1,0,-186,0,13097,0,-412704,0,4946176]));
Generating polynomial: x^8 - 186*x^6 + 13097*x^4 - 412704*x^2 + 4946176

kash> OrderDisc (o);
822201012939308277619413178871929896960000
kash> o := OrderMaximal (o);;
kash> OrderDisc (o);
> 60050488100625


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