K13n1856
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Polynomial invariants
| Jones polynomial | Data:K13n1856/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+7 t-5+7 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1856/Conway Polynomial |
| Determinant | 43 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -6 z^6+5 a^2 z^4+4 z^4 a^{-2} -12 z^4-a^4 z^2+7 a^2 z^2+4 z^2 a^{-2} -11 z^2-a^4+4 a^2+2 a^{-2} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}-4 a z^9-z^9 a^{-1} +3 z^9 a^{-3} -6 a^2 z^8-15 z^8 a^{-2} +z^8 a^{-4} -22 z^8+a z^7-15 z^7 a^{-1} -16 z^7 a^{-3} +14 a^2 z^6+19 z^6 a^{-2} -5 z^6 a^{-4} +38 z^6+a^3 z^5+8 a z^5+31 z^5 a^{-1} +24 z^5 a^{-3} -a^4 z^4-21 a^2 z^4-6 z^4 a^{-2} +7 z^4 a^{-4} -33 z^4-5 a^3 z^3-13 a z^3-19 z^3 a^{-1} -11 z^3 a^{-3} +3 a^4 z^2+14 a^2 z^2+3 z^2 a^{-2} -3 z^2 a^{-4} +17 z^2+a^5 z+3 a^3 z+4 a z+4 z a^{-1} +2 z a^{-3} -a^4-4 a^2-2 a^{-2} -4 }[/math] |
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