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D.6.9.3 gmscoeffs
Procedure from library gmssing.lib (see gmssing_lib).
- Usage:
- gmscoeffs(p,K); poly p, int K
- Assume:
- basering constructed by gmsring
- Return:
| | list l;
matrix l[1]; C[[s]]-basis representation of p mod s^(K+1)
ideal l[2]; p==matrix(gmsbasis)*l[1]+l[2]
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- Note:
- computation can be continued by setting p=l[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=gmscoeffs(gmspoly,0);
print(l0[1]);
==> -1/2,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0
list l1=gmscoeffs(gmspoly,1);
print(l1[1]);
==> -1/2,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 1/2s
list l=gmscoeffs(l0[2],1);
print(l[1]);
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 0,
==> 1/2s
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