Opened 4 years ago

Last modified 13 months ago

# Incomplete multivariate factorization — at Version 3

Reported by: Owned by: jdemeyer critical sage-8.2 factorization singular jakobkroeker Completely fixed; Fix reported upstream

### Description (last modified by jdemeyer)

With sage-6.4.beta6, the following polynomial factorization gives a reducible factor `(-a^2 + b^2)`:

```sage: R.<z,a,b> = PolynomialRing(QQ)
sage: N = -a^4*z^8 + 2*a^2*b^2*z^8 - b^4*z^8 - 16*a^3*b*z^7 + 16*a*b^3*z^7 + 28*a^4*z^6 - 56*a^2*b^2*z^6 + 28*b^4*z^6 + 112*a^3*b*z^5 - 112*a*b^3*z^5 - 70*a^4*z^4 + 140*a^2*b^2*z^4 - 70*b^4*z^4 - 112*a^3*b*z^3 + 112*a*b^3*z^3 + 28*a^4*z^2 - 56*a^2*b^2*z^2 + 28*b^4*z^2 + 16*a^3*b*z - 16*a*b^3*z - a^4 + 2*a^2*b^2 - b^4
sage: N.factor()
(-1) * (-a^2 + b^2) * (-z^4*a + z^4*b - 4*z^3*a - 4*z^3*b + 6*z^2*a - 6*z^2*b + 4*z*a + 4*z*b - a + b) * (z^4*a + z^4*b - 4*z^3*a + 4*z^3*b - 6*z^2*a - 6*z^2*b + 4*z*a - 4*z*b + a + b)
```

This is fixed by #17254.

### comment:1 Changed 4 years ago by jdemeyer

• Keywords singular added

### comment:2 Changed 4 years ago by jdemeyer

• Description modified (diff)

### comment:3 Changed 4 years ago by jdemeyer

• Description modified (diff)
• Report Upstream changed from N/A to Completely fixed; Fix reported upstream
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