K13n1489
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Polynomial invariants
| Jones polynomial | Data:K13n1489/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+8 t^3-14 t^2+18 t-19+18 t^{-1} -14 t^{-2} +8 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1489/Conway Polynomial |
| Determinant | 103 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -8 z^4 a^{-6} -8 z^4 a^{-8} +5 z^4 a^{-10} +8 z^2 a^{-4} -6 z^2 a^{-6} -6 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -3 a^{-6} -2 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^9 a^{-5} +2 z^9 a^{-7} +6 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -5 z^8 a^{-6} -20 z^8 a^{-8} -10 z^8 a^{-10} +4 z^8 a^{-12} -9 z^7 a^{-5} -18 z^7 a^{-7} -30 z^7 a^{-9} -20 z^7 a^{-11} +z^7 a^{-13} -6 z^6 a^{-4} -6 z^6 a^{-6} +17 z^6 a^{-8} +9 z^6 a^{-10} -8 z^6 a^{-12} +11 z^5 a^{-5} +18 z^5 a^{-7} +33 z^5 a^{-9} +30 z^5 a^{-11} +4 z^5 a^{-13} +13 z^4 a^{-4} +20 z^4 a^{-6} -11 z^4 a^{-8} -13 z^4 a^{-10} +9 z^4 a^{-12} +4 z^4 a^{-14} -z^3 a^{-5} -16 z^3 a^{-9} -22 z^3 a^{-11} -4 z^3 a^{-13} +z^3 a^{-15} -12 z^2 a^{-4} -13 z^2 a^{-6} +9 z^2 a^{-8} +10 z^2 a^{-10} -2 z^2 a^{-12} -2 z^2 a^{-14} -3 z a^{-5} -3 z a^{-7} +3 z a^{-9} +5 z a^{-11} +2 z a^{-13} +4 a^{-4} +3 a^{-6} -2 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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