K13n2433
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Polynomial invariants
| Jones polynomial | Data:K13n2433/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-15 t+19-15 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2433/Conway Polynomial |
| Determinant | 69 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -3 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +z^4-2 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +z^9 a^{-1} +2 z^9 a^{-5} +3 z^9 a^{-7} -8 z^8 a^{-2} -21 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} -3 z^7 a^{-1} -13 z^7 a^{-3} -25 z^7 a^{-5} -15 z^7 a^{-7} +11 z^6 a^{-2} +24 z^6 a^{-4} +9 z^6 a^{-6} -5 z^6 a^{-8} +z^6+4 z^5 a^{-1} +20 z^5 a^{-3} +39 z^5 a^{-5} +23 z^5 a^{-7} -9 z^4 a^{-2} -14 z^4 a^{-4} +3 z^4 a^{-6} +8 z^4 a^{-8} +2 a z^3-4 z^3 a^{-1} -14 z^3 a^{-3} -21 z^3 a^{-5} -13 z^3 a^{-7} +a^2 z^2+z^2 a^{-2} +7 z^2 a^{-4} -4 z^2 a^{-8} -z^2+z a^{-1} +4 z a^{-3} +6 z a^{-5} +3 z a^{-7} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math] |
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