K13n2215
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Polynomial invariants
| Jones polynomial | Data:K13n2215/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t+13-7 t^{-1} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2215/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+z^4 a^4-a^4+z^4 a^2+z^2 a^2+a^2+z^6+5 z^4+5 z^2+2-z^4 a^{-2} -3 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+3 a^3 z^9+a z^9+z^9 a^{-1} +3 a^6 z^8-2 a^4 z^8-6 a^2 z^8+2 z^8 a^{-2} +z^8+a^7 z^7-13 a^5 z^7-16 a^3 z^7-8 a z^7-5 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-4 a^4 z^6+10 a^2 z^6-11 z^6 a^{-2} -10 z^6-4 a^7 z^5+15 a^5 z^5+26 a^3 z^5+13 a z^5+z^5 a^{-1} -5 z^5 a^{-3} +14 a^6 z^4+2 a^4 z^4-10 a^2 z^4+15 z^4 a^{-2} +17 z^4+4 a^7 z^3-9 a^5 z^3-21 a^3 z^3-6 a z^3+8 z^3 a^{-1} +6 z^3 a^{-3} -3 a^6 z^2+2 a^4 z^2+5 a^2 z^2-7 z^2 a^{-2} -7 z^2+3 a^5 z+5 a^3 z+a z-3 z a^{-1} -2 z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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