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D.6.13.2 gmsnf
Procedure from library gmssing.lib (see gmssing_lib).
- Usage:
- gmsnf(p,K); poly p, int K
- Assume:
- basering returned by gmsring
- Return:
- list nf;
ideal nf[1]; projection of p to <gmsbasis>C[[s]] mod s^(K+1)
ideal nf[2]; p==nf[1]+nf[2]
- Note:
- computation can be continued by setting p=nf[2]
Example:
| | LIB "gmssing.lib";
ring R=0,(x,y),ds;
poly t=x5+x2y2+y5;
def G=gmsring(t,"s");
setring(G);
list l0=gmsnf(gmspoly,0);
print(l0[1]);
==> -1/2y5
list l1=gmsnf(gmspoly,1);
print(l1[1]);
==> -1/2y5+1/2s
list l=gmsnf(l0[2],1);
print(l[1]);
==> 1/2s
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