K13n1815
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Polynomial invariants
| Jones polynomial | Data:K13n1815/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+14 t-19+14 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1815/Conway Polynomial |
| Determinant | 59 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+5 z^2 a^6+4 a^6-2 z^4 a^4-4 z^2 a^4-3 a^4+z^6 a^2+3 z^4 a^2+4 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+a^7 z^9+a^5 z^9+a^3 z^9-9 a^8 z^8-10 a^6 z^8+3 a^4 z^8+4 a^2 z^8-8 a^9 z^7-12 a^7 z^7-4 a^5 z^7+6 a^3 z^7+6 a z^7+25 a^8 z^6+34 a^6 z^6+3 a^4 z^6-2 a^2 z^6+4 z^6+20 a^9 z^5+38 a^7 z^5+18 a^5 z^5-12 a^3 z^5-11 a z^5+z^5 a^{-1} -27 a^8 z^4-39 a^6 z^4-14 a^4 z^4-9 a^2 z^4-7 z^4-19 a^9 z^3-37 a^7 z^3-18 a^5 z^3+4 a^3 z^3+3 a z^3-z^3 a^{-1} +12 a^8 z^2+20 a^6 z^2+13 a^4 z^2+7 a^2 z^2+2 z^2+6 a^9 z+10 a^7 z+5 a^5 z+a^3 z-2 a^8-4 a^6-3 a^4-2 a^2 }[/math] |
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