K13n4039
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Polynomial invariants
| Jones polynomial | Data:K13n4039/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-17 t+19-17 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4039/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -3 z^4 a^{-6} -3 z^4 a^{-8} +2 z^4 a^{-10} +6 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +3 a^{-4} -2 a^{-6} -2 a^{-8} +4 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^{10} a^{-12} +2 z^9 a^{-7} -3 z^9 a^{-9} -3 z^9 a^{-11} +2 z^9 a^{-13} +2 z^8 a^{-6} -8 z^8 a^{-8} -21 z^8 a^{-10} -9 z^8 a^{-12} +2 z^8 a^{-14} +z^7 a^{-5} -5 z^7 a^{-7} +6 z^7 a^{-9} +4 z^7 a^{-11} -7 z^7 a^{-13} +z^7 a^{-15} -6 z^6 a^{-6} +17 z^6 a^{-8} +51 z^6 a^{-10} +19 z^6 a^{-12} -9 z^6 a^{-14} -z^5 a^{-5} +3 z^5 a^{-7} -8 z^5 a^{-9} -2 z^5 a^{-11} +5 z^5 a^{-13} -5 z^5 a^{-15} +3 z^4 a^{-4} +10 z^4 a^{-6} -17 z^4 a^{-8} -61 z^4 a^{-10} -26 z^4 a^{-12} +11 z^4 a^{-14} +9 z^3 a^{-7} +11 z^3 a^{-9} -5 z^3 a^{-11} +7 z^3 a^{-15} -8 z^2 a^{-4} -7 z^2 a^{-6} +14 z^2 a^{-8} +29 z^2 a^{-10} +13 z^2 a^{-12} -3 z^2 a^{-14} -2 z a^{-5} -5 z a^{-7} -5 z a^{-9} -2 z a^{-15} +3 a^{-4} +2 a^{-6} -2 a^{-8} -4 a^{-10} -2 a^{-12} }[/math] |
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