sp
, sp_noalg
sp_noalg
all the algebraic numbers are replaced
by the special indeterminate associated with it, that is t#i
for #i
. By this operation the result of sp_noalg
is a list containing only integral polynomials.
[root,algptorat(defpoly(root))]
.
In more detail, the list is interpreted as a representation
of successive extension obtained by adjoining root's
to the rational number field. Adjoining is performed from the right
root to the left.
sp()
invokes sp_norm()
internally. Computation of norm
is done by several methods according to the situation but the algorithm
selection is not always optimal and a simple resultant computation is
often superior to the other methods.
By setting the global variable USE_RES
to 1,
the builtin function res()
is always used.
[101] L=sp(x^9-54); [[x+(-#2),-54*x+(#1^6*#2^4),54*x+(#1^6*#2^4+54*#2),54*x+(-#1^8*#2^2), -54*x+(#1^5*#2^5),54*x+(#1^5*#2^5+#1^8*#2^2),-54*x+(-#1^7*#2^3-54*#1), 54*x+(-#1^7*#2^3),x+(-#1)],[[(#2),t#2^6+t#1^3*t#2^3+t#1^6],[(#1),t#1^9-54]]] [102] for(I=0,M=1;I<9;I++)M*=L[0][I]; [111] M=simpalg(M); -1338925209984*x^9+72301961339136 [112] ptozp(M); -x^9+54
asq
, af
, af_noalg
, section defpoly
, section algptorat
, section sp_norm
.
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