K13n3582
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Polynomial invariants
| Jones polynomial | Data:K13n3582/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3+5 t-7+5 t^{-1} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3582/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +8 z^6 a^{-2} -z^6 a^{-4} -z^6+21 z^4 a^{-2} -7 z^4 a^{-4} -6 z^4+23 z^2 a^{-2} -12 z^2 a^{-4} +z^2 a^{-6} -9 z^2+9 a^{-2} -6 a^{-4} + a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+z^9 a^{-1} -11 z^8 a^{-2} -2 z^8 a^{-4} -9 z^8-8 a z^7-10 z^7 a^{-1} -3 z^7 a^{-3} -z^7 a^{-5} +41 z^6 a^{-2} +14 z^6 a^{-4} +27 z^6+20 a z^5+31 z^5 a^{-1} +19 z^5 a^{-3} +8 z^5 a^{-5} -61 z^4 a^{-2} -26 z^4 a^{-4} +2 z^4 a^{-6} -33 z^4-17 a z^3-33 z^3 a^{-1} -28 z^3 a^{-3} -11 z^3 a^{-5} +z^3 a^{-7} +38 z^2 a^{-2} +20 z^2 a^{-4} +18 z^2+4 a z+10 z a^{-1} +11 z a^{-3} +5 z a^{-5} -9 a^{-2} -6 a^{-4} - a^{-6} -3 }[/math] |
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