K13n1814
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Polynomial invariants
| Jones polynomial | Data:K13n1814/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-11 t+15-11 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1814/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} +2 z^4+a^4 z^2-4 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +5 z^2+a^4-3 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10} a^{-2} +2 z^{10}+2 a^3 z^9+3 a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-7 a^2 z^8+2 z^8 a^{-2} +6 z^8 a^{-4} -12 z^8-14 a^3 z^7-25 a z^7-26 z^7 a^{-1} -11 z^7 a^{-3} +4 z^7 a^{-5} -6 a^4 z^6+9 a^2 z^6-18 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +17 z^6+27 a^3 z^5+57 a z^5+44 z^5 a^{-1} +3 z^5 a^{-3} -11 z^5 a^{-5} +9 a^4 z^4+5 a^2 z^4+23 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} +5 z^4-18 a^3 z^3-40 a z^3-25 z^3 a^{-1} +z^3 a^{-3} +4 z^3 a^{-5} -4 a^4 z^2-10 a^2 z^2-9 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2+3 a^3 z+7 a z+5 z a^{-1} +z a^{-3} +a^4+3 a^2+ a^{-2} +4 }[/math] |
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