K13n1769
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Polynomial invariants
| Jones polynomial | Data:K13n1769/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-9 t^3+24 t^2-40 t+47-40 t^{-1} +24 t^{-2} -9 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1769/Conway Polynomial |
| Determinant | 197 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +12 z^6 a^{-6} -3 z^6 a^{-8} -7 z^4 a^{-4} +28 z^4 a^{-6} -12 z^4 a^{-8} +z^4 a^{-10} -7 z^2 a^{-4} +28 z^2 a^{-6} -16 z^2 a^{-8} +2 z^2 a^{-10} -2 a^{-4} +9 a^{-6} -7 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +13 z^{10} a^{-8} +7 z^{10} a^{-10} +5 z^9 a^{-5} +11 z^9 a^{-7} +17 z^9 a^{-9} +11 z^9 a^{-11} +z^8 a^{-4} -16 z^8 a^{-6} -27 z^8 a^{-8} +10 z^8 a^{-12} -12 z^7 a^{-5} -41 z^7 a^{-7} -52 z^7 a^{-9} -18 z^7 a^{-11} +5 z^7 a^{-13} +6 z^6 a^{-4} +36 z^6 a^{-6} +27 z^6 a^{-8} -24 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +23 z^5 a^{-5} +65 z^5 a^{-7} +57 z^5 a^{-9} +3 z^5 a^{-11} -9 z^5 a^{-13} -16 z^4 a^{-4} -46 z^4 a^{-6} -21 z^4 a^{-8} +19 z^4 a^{-10} +9 z^4 a^{-12} -z^4 a^{-14} -6 z^3 a^{-3} -24 z^3 a^{-5} -45 z^3 a^{-7} -30 z^3 a^{-9} +3 z^3 a^{-13} +9 z^2 a^{-4} +32 z^2 a^{-6} +20 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-12} +2 z a^{-3} +7 z a^{-5} +13 z a^{-7} +7 z a^{-9} +z a^{-13} -2 a^{-4} -9 a^{-6} -7 a^{-8} - a^{-10} }[/math] |
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