K12n789
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 3 q^2-7 q+11-14 q^{-1} +15 q^{-2} -14 q^{-3} +12 q^{-4} -8 q^{-5} +4 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-20 t+27-20 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4-2 z^2+1 }[/math] |
| Determinant | 89 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+3 z^4 a^4+7 z^2 a^4+4 a^4-2 z^6 a^2-8 z^4 a^2-11 z^2 a^2-4 a^2+2 z^4+3 z^2+1+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+5 a^5 z^9+10 a^3 z^9+5 a z^9+4 a^6 z^8+5 a^4 z^8+4 a^2 z^8+3 z^8+a^7 z^7-14 a^5 z^7-31 a^3 z^7-16 a z^7-14 a^6 z^6-38 a^4 z^6-32 a^2 z^6-8 z^6-3 a^7 z^5+3 a^5 z^5+22 a^3 z^5+19 a z^5+3 z^5 a^{-1} +14 a^6 z^4+45 a^4 z^4+44 a^2 z^4+13 z^4+3 a^7 z^3+7 a^5 z^3-4 a^3 z^3-7 a z^3+z^3 a^{-1} -5 a^6 z^2-21 a^4 z^2-24 a^2 z^2+3 z^2 a^{-2} -5 z^2-a^7 z-2 a^5 z-z a^{-1} +a^6+4 a^4+4 a^2- a^{-2} +1 }[/math] |
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