K14n16767
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Polynomial invariants
| Jones polynomial | Data:K14n16767/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+10 t^3-38 t^2+79 t-99+79 t^{-1} -38 t^{-2} +10 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K14n16767/Conway Polynomial |
| Determinant | Data:K14n16767/Determinant |
| Signature | Data:K14n16767/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -3 z^6 a^{-2} +3 z^6 a^{-4} +2 z^6-a^2 z^4-7 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} +4 z^4-a^2 z^2-9 z^2 a^{-2} +10 z^2 a^{-4} -3 z^2 a^{-6} +4 z^2-4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +8 z^{11} a^{-1} +14 z^{11} a^{-3} +6 z^{11} a^{-5} +28 z^{10} a^{-2} +22 z^{10} a^{-4} +7 z^{10} a^{-6} +13 z^{10}+11 a z^9+13 z^9 a^{-1} +11 z^9 a^{-3} +13 z^9 a^{-5} +4 z^9 a^{-7} +5 a^2 z^8-56 z^8 a^{-2} -26 z^8 a^{-4} +7 z^8 a^{-6} +z^8 a^{-8} -19 z^8+a^3 z^7-26 a z^7-72 z^7 a^{-1} -85 z^7 a^{-3} -31 z^7 a^{-5} +9 z^7 a^{-7} -12 a^2 z^6-z^6 a^{-2} -35 z^6 a^{-4} -24 z^6 a^{-6} +8 z^6 a^{-8} -10 z^6-2 a^3 z^5+21 a z^5+73 z^5 a^{-1} +82 z^5 a^{-3} +13 z^5 a^{-5} -16 z^5 a^{-7} +3 z^5 a^{-9} +10 a^2 z^4+43 z^4 a^{-2} +63 z^4 a^{-4} +26 z^4 a^{-6} -9 z^4 a^{-8} +25 z^4+a^3 z^3-7 a z^3-31 z^3 a^{-1} -29 z^3 a^{-3} +7 z^3 a^{-5} +10 z^3 a^{-7} -3 z^3 a^{-9} -3 a^2 z^2-26 z^2 a^{-2} -30 z^2 a^{-4} -12 z^2 a^{-6} +z^2 a^{-8} -12 z^2+a z+4 z a^{-1} +3 z a^{-3} -3 z a^{-5} -3 z a^{-7} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math] |
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