K13n1831
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Polynomial invariants
| Jones polynomial | Data:K13n1831/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-31 t+47-31 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1831/Conway Polynomial |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+2 z^2 a^4+2 a^4-z^6 a^2-2 z^4 a^2-5 z^2 a^2-3 a^2+3 z^4+3 z^2+2-3 z^2 a^{-2} - a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+7 a^2 z^{10}+3 z^{10}+6 a^5 z^9+11 a^3 z^9+8 a z^9+3 z^9 a^{-1} +4 a^6 z^8-3 a^4 z^8-13 a^2 z^8+z^8 a^{-2} -5 z^8+a^7 z^7-19 a^5 z^7-47 a^3 z^7-36 a z^7-9 z^7 a^{-1} -14 a^6 z^6-26 a^4 z^6-13 a^2 z^6-z^6-3 a^7 z^5+15 a^5 z^5+55 a^3 z^5+54 a z^5+20 z^5 a^{-1} +3 z^5 a^{-3} +14 a^6 z^4+38 a^4 z^4+38 a^2 z^4+4 z^4 a^{-2} +z^4 a^{-4} +17 z^4+2 a^7 z^3-6 a^5 z^3-31 a^3 z^3-33 a z^3-14 z^3 a^{-1} -4 z^3 a^{-3} -5 a^6 z^2-19 a^4 z^2-23 a^2 z^2-5 z^2 a^{-2} -2 z^2 a^{-4} -12 z^2+2 a^5 z+9 a^3 z+9 a z+3 z a^{-1} +z a^{-3} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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