K13a1118
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Polynomial invariants
| Jones polynomial | Data:K13a1118/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-17 t^3+50 t^2-90 t+109-90 t^{-1} +50 t^{-2} -17 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1118/Conway Polynomial |
| Determinant | 429 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} -z^6 a^{-2} +3 z^6 a^{-4} +8 z^6 a^{-6} -3 z^6 a^{-8} -3 z^4 a^{-2} +5 z^4 a^{-4} +13 z^4 a^{-6} -8 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-2} +6 z^2 a^{-4} +9 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +3 a^{-4} +2 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-6} +3 z^{12} a^{-8} +9 z^{11} a^{-5} +23 z^{11} a^{-7} +14 z^{11} a^{-9} +11 z^{10} a^{-4} +31 z^{10} a^{-6} +47 z^{10} a^{-8} +27 z^{10} a^{-10} +8 z^9 a^{-3} +2 z^9 a^{-5} -12 z^9 a^{-7} +22 z^9 a^{-9} +28 z^9 a^{-11} +4 z^8 a^{-2} -18 z^8 a^{-4} -87 z^8 a^{-6} -116 z^8 a^{-8} -34 z^8 a^{-10} +17 z^8 a^{-12} +z^7 a^{-1} -17 z^7 a^{-3} -40 z^7 a^{-5} -72 z^7 a^{-7} -103 z^7 a^{-9} -47 z^7 a^{-11} +6 z^7 a^{-13} -11 z^6 a^{-2} +4 z^6 a^{-4} +84 z^6 a^{-6} +89 z^6 a^{-8} -3 z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-1} +10 z^5 a^{-3} +51 z^5 a^{-5} +107 z^5 a^{-7} +97 z^5 a^{-9} +24 z^5 a^{-11} -4 z^5 a^{-13} +11 z^4 a^{-2} +8 z^4 a^{-4} -37 z^4 a^{-6} -31 z^4 a^{-8} +9 z^4 a^{-10} +6 z^4 a^{-12} +3 z^3 a^{-1} -26 z^3 a^{-5} -57 z^3 a^{-7} -41 z^3 a^{-9} -7 z^3 a^{-11} -5 z^2 a^{-2} -8 z^2 a^{-4} +9 z^2 a^{-6} +12 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-12} -z a^{-1} -z a^{-3} +3 z a^{-5} +12 z a^{-7} +11 z a^{-9} +2 z a^{-11} + a^{-2} +3 a^{-4} -2 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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