K13n3785
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Polynomial invariants
| Jones polynomial | Data:K13n3785/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-8 t^3+13 t^2-15 t+15-15 t^{-1} +13 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3785/Conway Polynomial |
| Determinant | 97 |
| 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} -24 z^6 a^{-4} +7 z^6 a^{-6} +12 z^4 a^{-2} -34 z^4 a^{-4} +18 z^4 a^{-6} -z^4 a^{-8} +10 z^2 a^{-2} -23 z^2 a^{-4} +21 z^2 a^{-6} -4 z^2 a^{-8} +3 a^{-2} -7 a^{-4} +9 a^{-6} -4 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} -19 z^8 a^{-2} -45 z^8 a^{-4} -23 z^8 a^{-6} +2 z^8 a^{-8} +z^8-15 z^7 a^{-1} -19 z^7 a^{-3} -17 z^7 a^{-5} -11 z^7 a^{-7} +2 z^7 a^{-9} +26 z^6 a^{-2} +79 z^6 a^{-4} +51 z^6 a^{-6} +4 z^6 a^{-8} +z^6 a^{-10} -5 z^6+22 z^5 a^{-1} +43 z^5 a^{-3} +38 z^5 a^{-5} +17 z^5 a^{-7} -15 z^4 a^{-2} -71 z^4 a^{-4} -67 z^4 a^{-6} -16 z^4 a^{-8} +2 z^4 a^{-10} +7 z^4-12 z^3 a^{-1} -29 z^3 a^{-3} -34 z^3 a^{-5} -19 z^3 a^{-7} +z^3 a^{-9} +3 z^3 a^{-11} +9 z^2 a^{-2} +34 z^2 a^{-4} +39 z^2 a^{-6} +16 z^2 a^{-8} -z^2 a^{-10} -3 z^2+3 z a^{-1} +8 z a^{-3} +9 z a^{-5} +7 z a^{-7} -3 z a^{-11} -3 a^{-2} -7 a^{-4} -9 a^{-6} -4 a^{-8} }[/math] |
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