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D.12.7.13 symmfunc
Procedure from libraryrootsmr.lib (see rootsmr_lib).
- Usage:
- symmfunc(s); s list
- Return:
- list: the symmetric functions of the roots of a polynomial, given
the power sums of those roots.
LIB "rootsmr.lib"; ring r = 0,x,dp; poly p = (x-1)*(x-2)*(x-3); list psums = list(1+2+3,1+4+9,1+8+27); list l = symmfunc(psums); l; ==> [1]: ==> 1 ==> [2]: ==> -6 ==> [3]: ==> 11 ==> [4]: ==> -6 p; // Compare p with the elements of l ==> x3-6x2+11x-6 |