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OrderKextGenRel

Computes relative generators for the ring of integers.

Syntax:

Gen := OrderKextGenRel(F);

list
  Gen  
of algebraic elements
order
  F  

See also:  OrderKextGenRel, OrderKextDisc

Description:

Computes a set of relative generators for the ring of integers of a Kummer externsion of prime degree Dabe2.


Example:

Relative generators in {\Bbb Q}(\sqrt{10}, \sqrt{5}) over {\Bbb Q} (\sqrt{10})

kash> E := OrderMaximal (Z,2,10);;
kash> F := Order (E,2,5);
      F[1]
        /
       /
   E1[1]
  /
 /
Q
F  [ 1]     x^2 - 5
E 1[ 1]     x^2 - 10

kash> OrderKextGenAbs(F);
> [ 0, [[0, 2], 0], [1, 1] / 2, [[0, 5], [0, 1]] / 10 ]


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