K13n1559
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Polynomial invariants
| Jones polynomial | Data:K13n1559/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+30 t-39+30 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1559/Conway Polynomial |
| Determinant | 127 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^6-2 z^4 a^4-2 z^2 a^4+z^6 a^2+z^4 a^2+z^6+2 z^4+2 z^2+1-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+3 a^5 z^9+7 a^3 z^9+10 a z^9+6 z^9 a^{-1} +a^6 z^8-6 a^4 z^8-16 a^2 z^8+4 z^8 a^{-2} -5 z^8-8 a^5 z^7-31 a^3 z^7-44 a z^7-20 z^7 a^{-1} +z^7 a^{-3} +2 a^6 z^6+7 a^4 z^6+a^2 z^6-14 z^6 a^{-2} -18 z^6+4 a^7 z^5+19 a^5 z^5+46 a^3 z^5+51 a z^5+17 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4-a^6 z^4+15 a^2 z^4+13 z^4 a^{-2} +26 z^4-5 a^7 z^3-16 a^5 z^3-27 a^3 z^3-24 a z^3-6 z^3 a^{-1} +2 z^3 a^{-3} -a^8 z^2-a^6 z^2-a^4 z^2-7 a^2 z^2-4 z^2 a^{-2} -10 z^2+a^7 z+4 a^5 z+6 a^3 z+4 a z+z a^{-1} +1 }[/math] |
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