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7.5.12.0. homogfacFirstQWeyl_all
Procedure from library ncfactor.lib (see ncfactor_lib).
- Usage:
- homogfacFirstQWeyl_all(h); h is a homogeneous polynomial in the first q-Weyl algebra
with respect to the weight vector [-1,1]
- Return:
- list
- Purpose:
- Computes all factorizations of a homogeneous polynomial h with respect
to the weight vector [-1,1] in the first q-Weyl algebra
- Theory:
- This function is a wrapper for homogFacNthQWeyl_all. It exists to make this library
downward-compatible with older versions.
Example:
| | LIB "ncfactor.lib";
ring R = (0,q),(x,d),dp;
def r = nc_algebra (q,1);
setring(r);
poly h = q^25*x^10*d^10+q^16*(q^4+q^3+q^2+q+1)^2*x^9*d^9+
q^9*(q^13+3*q^12+7*q^11+13*q^10+20*q^9+26*q^8+30*q^7+
31*q^6+26*q^5+20*q^4+13*q^3+7*q^2+3*q+1)*x^8*d^8+
q^4*(q^9+2*q^8+4*q^7+6*q^6+7*q^5+8*q^4+6*q^3+
4*q^2+2q+1)*(q^4+q^3+q^2+q+1)*(q^2+q+1)*x^7*d^7+
q*(q^2+q+1)*(q^5+2*q^4+2*q^3+3*q^2+2*q+1)*(q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)*x^6*d^6+
(q^10+5*q^9+12*q^8+21*q^7+29*q^6+33*q^5+31*q^4+24*q^3+15*q^2+7*q+12)*x^5*d^5+
6*x^3*d^3+24;
homogfacFirstQWeyl_all(h);
==> [1]:
==> [1]:
==> 1
==> [2]:
==> x5d5+6
==> [3]:
==> x5d5+x3d3+4
==> [2]:
==> [1]:
==> 1
==> [2]:
==> x5d5+x3d3+4
==> [3]:
==> x5d5+6
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See also:
homogfacFirstQWeyl.
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