K12n160
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+3 q^2-5 q+7-8 q^{-1} +9 q^{-2} -7 q^{-3} +6 q^{-4} -4 q^{-5} +2 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-12 t+15-12 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+3 z^2+1 }[/math] |
| Determinant | 53 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+2 z^4 a^4+6 z^2 a^4+4 a^4-z^6 a^2-4 z^4 a^2-6 z^2 a^2-3 a^2+2 z^4+5 z^2+3-z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+2 a^5 z^9+5 a^3 z^9+3 a z^9+2 a^6 z^8+a^2 z^8+3 z^8+a^7 z^7-7 a^5 z^7-22 a^3 z^7-13 a z^7+z^7 a^{-1} -9 a^6 z^6-14 a^4 z^6-18 a^2 z^6-13 z^6-5 a^7 z^5+3 a^5 z^5+30 a^3 z^5+21 a z^5-z^5 a^{-1} +11 a^6 z^4+23 a^4 z^4+33 a^2 z^4+3 z^4 a^{-2} +24 z^4+7 a^7 z^3+3 a^5 z^3-17 a^3 z^3-12 a z^3+2 z^3 a^{-1} +z^3 a^{-3} -6 a^6 z^2-15 a^4 z^2-20 a^2 z^2-4 z^2 a^{-2} -15 z^2-3 a^7 z-2 a^5 z+3 a^3 z+2 a z-z a^{-1} -z a^{-3} +2 a^6+4 a^4+3 a^2+ a^{-2} +3 }[/math] |
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