K13n1564
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Polynomial invariants
| Jones polynomial | Data:K13n1564/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-35 t+47-35 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1564/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+3 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -6 z^4-a^4 z^2+6 a^2 z^2+z^2 a^{-4} -8 z^2-a^4+4 a^2+ a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +3 a^2 z^{10}+7 z^{10} a^{-2} +10 z^{10}+a^3 z^9-2 a z^9+8 z^9 a^{-1} +11 z^9 a^{-3} -11 a^2 z^8-13 z^8 a^{-2} +9 z^8 a^{-4} -33 z^8+a^3 z^7-37 z^7 a^{-1} -32 z^7 a^{-3} +4 z^7 a^{-5} +4 a^4 z^6+33 a^2 z^6-24 z^6 a^{-4} +z^6 a^{-6} +54 z^6+a^5 z^5+2 a^3 z^5+14 a z^5+53 z^5 a^{-1} +32 z^5 a^{-3} -8 z^5 a^{-5} -8 a^4 z^4-40 a^2 z^4+13 z^4 a^{-2} +18 z^4 a^{-4} -2 z^4 a^{-6} -39 z^4-2 a^5 z^3-8 a^3 z^3-17 a z^3-28 z^3 a^{-1} -16 z^3 a^{-3} +z^3 a^{-5} +5 a^4 z^2+18 a^2 z^2-6 z^2 a^{-2} -8 z^2 a^{-4} +15 z^2+a^5 z+3 a^3 z+5 a z+7 z a^{-1} +4 z a^{-3} -a^4-4 a^2+ a^{-4} -3 }[/math] |
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