K13n1816
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Polynomial invariants
| Jones polynomial | Data:K13n1816/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+13 t-17+13 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1816/Conway Polynomial |
| Determinant | 55 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-2 a^6+z^4 a^4+5 z^2 a^4+4 a^4-2 z^4 a^2-4 z^2 a^2-2 a^2+z^6+3 z^4+3 z^2+1-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^4 z^{10}+5 a^2 z^{10}+4 z^{10}-3 a^3 z^9+3 a z^9+6 z^9 a^{-1} +a^6 z^8-6 a^4 z^8-25 a^2 z^8+4 z^8 a^{-2} -14 z^8+a^7 z^7-7 a^3 z^7-32 a z^7-25 z^7 a^{-1} +z^7 a^{-3} -7 a^6 z^6+5 a^4 z^6+30 a^2 z^6-15 z^6 a^{-2} +3 z^6-6 a^7 z^5-7 a^5 z^5+19 a^3 z^5+47 a z^5+24 z^5 a^{-1} -3 z^5 a^{-3} +11 a^6 z^4+8 a^4 z^4-3 a^2 z^4+11 z^4 a^{-2} +11 z^4+9 a^7 z^3+13 a^5 z^3-6 a^3 z^3-18 a z^3-7 z^3 a^{-1} +z^3 a^{-3} -7 a^6 z^2-11 a^4 z^2-7 a^2 z^2-2 z^2 a^{-2} -5 z^2-4 a^7 z-6 a^5 z-2 a^3 z+2 a^6+4 a^4+2 a^2+1 }[/math] |
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