K13n2432
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Polynomial invariants
| Jones polynomial | Data:K13n2432/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+27 t-37+27 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2432/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -5 z^2 a^{-2} +4 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +2 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} -2 z^9 a^{-3} +5 z^9 a^{-5} +7 z^9 a^{-7} -4 z^8 a^{-2} -17 z^8 a^{-4} -6 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} +z^7 a^{-3} -22 z^7 a^{-5} -18 z^7 a^{-7} +4 z^7 a^{-9} +11 z^6 a^{-2} +26 z^6 a^{-4} -5 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +2 z^5 a^{-1} +13 z^5 a^{-3} +32 z^5 a^{-5} +11 z^5 a^{-7} -10 z^5 a^{-9} -3 z^4 a^{-2} -6 z^4 a^{-4} +13 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +2 z^4-5 z^3 a^{-1} -14 z^3 a^{-3} -15 z^3 a^{-5} -2 z^3 a^{-7} +4 z^3 a^{-9} -8 z^2 a^{-2} -8 z^2 a^{-4} -7 z^2 a^{-6} -3 z^2 a^{-8} -4 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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