K12n436
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 1-3 q^{-1} +5 q^{-2} -5 q^{-3} +6 q^{-4} -5 q^{-5} +4 q^{-6} -2 q^{-7} + q^{-9} - q^{-10} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-6 t+5-6 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+5 z^2+1 }[/math] |
| Determinant | 29 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^2 a^8+a^8+z^4 a^6+2 z^2 a^6-a^6-z^6 a^4-3 z^4 a^4+2 a^4+z^4 a^2+2 z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-6 z^5 a^{11}+9 z^3 a^{11}-4 z a^{11}+z^8 a^{10}-7 z^6 a^{10}+12 z^4 a^{10}-6 z^2 a^{10}+a^{10}-4 z^5 a^9+10 z^3 a^9-3 z a^9+z^8 a^8-8 z^6 a^8+17 z^4 a^8-8 z^2 a^8+a^8+z^9 a^7-5 z^7 a^7+8 z^5 a^7-4 z^3 a^7+z a^7+3 z^8 a^6-12 z^6 a^6+15 z^4 a^6-8 z^2 a^6+a^6+z^9 a^5-z^7 a^5-4 z^5 a^5+z^3 a^5+3 z^8 a^4-10 z^6 a^4+7 z^4 a^4-4 z^2 a^4+2 a^4+3 z^7 a^3-10 z^5 a^3+6 z^3 a^3+z^6 a^2-3 z^4 a^2+2 z^2 a^2 }[/math] |
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