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D.5.4.3 gmscoeffs
Procedure from library gaussman.lib (see gaussman_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]
- Note:
computation can be continued by setting p=l[2]
Example:
LIB "gaussman.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 |