K13n4159
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Polynomial invariants
| Jones polynomial | Data:K13n4159/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-9 t^3+13 t^2-12 t+11-12 t^{-1} +13 t^{-2} -9 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n4159/Conway Polynomial |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -25 z^6 a^{-4} +7 z^6 a^{-6} +13 z^4 a^{-2} -40 z^4 a^{-4} +17 z^4 a^{-6} -z^4 a^{-8} +14 z^2 a^{-2} -32 z^2 a^{-4} +18 z^2 a^{-6} -2 z^2 a^{-8} +6 a^{-2} -10 a^{-4} +6 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^9 a^{-1} -3 z^9 a^{-3} -2 z^9 a^{-5} +4 z^9 a^{-7} -18 z^8 a^{-2} -45 z^8 a^{-4} -25 z^8 a^{-6} +z^8 a^{-8} +z^8-14 z^7 a^{-1} -15 z^7 a^{-3} -20 z^7 a^{-5} -19 z^7 a^{-7} +25 z^6 a^{-2} +82 z^6 a^{-4} +50 z^6 a^{-6} -2 z^6 a^{-8} -5 z^6+19 z^5 a^{-1} +28 z^5 a^{-3} +45 z^5 a^{-5} +37 z^5 a^{-7} +z^5 a^{-9} -21 z^4 a^{-2} -86 z^4 a^{-4} -54 z^4 a^{-6} +3 z^4 a^{-8} +8 z^4-8 z^3 a^{-1} -16 z^3 a^{-3} -41 z^3 a^{-5} -32 z^3 a^{-7} +z^3 a^{-9} +18 z^2 a^{-2} +49 z^2 a^{-4} +26 z^2 a^{-6} +z^2 a^{-8} +2 z^2 a^{-10} -4 z^2+z a^{-1} +6 z a^{-3} +12 z a^{-5} +8 z a^{-7} +z a^{-9} -6 a^{-2} -10 a^{-4} -6 a^{-6} - a^{-8} }[/math] |
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