K13n1766
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Polynomial invariants
| Jones polynomial | Data:K13n1766/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-10 t^2+17 t-19+17 t^{-1} -10 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1766/Conway Polynomial |
| Determinant | 83 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+a^2 z^6+4 a^6 z^4-13 a^4 z^4+3 a^2 z^4+5 a^6 z^2-11 a^4 z^2+2 a^2 z^2+z^2+2 a^6-3 a^4+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+a^2 z^{10}+5 a^7 z^9-5 a^3 z^9+5 a^8 z^8-9 a^6 z^8-20 a^4 z^8-6 a^2 z^8+3 a^9 z^7-18 a^7 z^7-9 a^5 z^7+13 a^3 z^7+a z^7+a^{10} z^6-17 a^8 z^6+9 a^6 z^6+46 a^4 z^6+19 a^2 z^6-9 a^9 z^5+22 a^7 z^5+21 a^5 z^5-10 a^3 z^5-3 a^{10} z^4+15 a^8 z^4-4 a^6 z^4-44 a^4 z^4-20 a^2 z^4+2 z^4+4 a^9 z^3-13 a^7 z^3-12 a^5 z^3+4 a^3 z^3-a z^3+a^{10} z^2-5 a^8 z^2+5 a^6 z^2+20 a^4 z^2+5 a^2 z^2-4 z^2+3 a^7 z+2 a^5 z-2 a^3 z-a z-2 a^6-3 a^4+2 }[/math] |
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