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OrderSetTorsionUnit

Sets a generator of the torsion unit group in the given order.

Syntax:

OrderSetTorsionUnit(o,alpha,r);

order
  o  
algebraic element
  alpha  
integer
  r  
rank

See also:  OrderTorsionUnit, OrderTorsionUnitRank

Description:

Sets the generator for the torsion units in the order o to be \alpha of exponent r, no check is done, so be very careful.


Example:


kash> o := Order(Poly(Zx,[1,1,1,1,1]));
Generating polynomial: x^4 + x^3 + x^2 + x + 1

kash> zeta := Elt(o,[0,-1,0,0]);
[0, -1, 0, 0]
kash> OrderSetTorsionUnit(o,zeta,10);
> 


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