K13n3545
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Polynomial invariants
| Jones polynomial | Data:K13n3545/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-10 t+13-10 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3545/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6-3 z^4 a^{-2} +z^4 a^{-4} -4 z^4+a^4 z^2-2 z^2 a^{-2} +2 z^2 a^{-4} -5 z^2+a^4+ a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a^3 z^9+a z^9+3 z^9 a^{-1} +3 z^9 a^{-3} +a^4 z^8-z^8 a^{-2} +4 z^8 a^{-4} -6 z^8-8 a^3 z^7-9 a z^7-13 z^7 a^{-1} -9 z^7 a^{-3} +3 z^7 a^{-5} -7 a^4 z^6-4 a^2 z^6-2 z^6 a^{-2} -12 z^6 a^{-4} +z^6 a^{-6} +14 z^6+18 a^3 z^5+24 a z^5+24 z^5 a^{-1} +9 z^5 a^{-3} -9 z^5 a^{-5} +14 a^4 z^4+12 a^2 z^4+2 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} -11 z^4-14 a^3 z^3-18 a z^3-18 z^3 a^{-1} -9 z^3 a^{-3} +5 z^3 a^{-5} -9 a^4 z^2-6 a^2 z^2-2 z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} +7 z^2+3 a^3 z+5 a z+5 z a^{-1} +3 z a^{-3} +a^4+ a^{-4} -1 }[/math] |
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