K13n1159
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Polynomial invariants
| Jones polynomial | Data:K13n1159/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-12 t^2+15 t-15+15 t^{-1} -12 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1159/Conway Polynomial |
| Determinant | 83 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -6 z^6 a^{-8} +2 z^6 a^{-10} +10 z^4 a^{-6} -14 z^4 a^{-8} +9 z^4 a^{-10} -z^4 a^{-12} +14 z^2 a^{-6} -17 z^2 a^{-8} +11 z^2 a^{-10} -3 z^2 a^{-12} +6 a^{-6} -8 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +3 z^{10} a^{-12} +z^9 a^{-7} -2 z^9 a^{-9} +z^9 a^{-11} +4 z^9 a^{-13} -11 z^8 a^{-8} -26 z^8 a^{-10} -11 z^8 a^{-12} +4 z^8 a^{-14} -3 z^7 a^{-7} -5 z^7 a^{-9} -19 z^7 a^{-11} -13 z^7 a^{-13} +4 z^7 a^{-15} +3 z^6 a^{-6} +28 z^6 a^{-8} +53 z^6 a^{-10} +16 z^6 a^{-12} -9 z^6 a^{-14} +3 z^6 a^{-16} +2 z^5 a^{-7} +19 z^5 a^{-9} +44 z^5 a^{-11} +17 z^5 a^{-13} -9 z^5 a^{-15} +z^5 a^{-17} -14 z^4 a^{-6} -44 z^4 a^{-8} -48 z^4 a^{-10} -6 z^4 a^{-12} +5 z^4 a^{-14} -7 z^4 a^{-16} -6 z^3 a^{-7} -24 z^3 a^{-9} -29 z^3 a^{-11} -5 z^3 a^{-13} +4 z^3 a^{-15} -2 z^3 a^{-17} +17 z^2 a^{-6} +31 z^2 a^{-8} +19 z^2 a^{-10} +4 z^2 a^{-12} +z^2 a^{-14} +2 z^2 a^{-16} +6 z a^{-7} +9 z a^{-9} +4 z a^{-11} -z a^{-15} -6 a^{-6} -8 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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