K13n3520
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Polynomial invariants
| Jones polynomial | Data:K13n3520/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3520/Conway Polynomial |
| Determinant | 81 |
| 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} +z^4 a^{-10} +6 z^2 a^{-4} -5 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2 a^{-10} +5 a^{-4} -5 a^{-6} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} -5 z^9 a^{-7} +5 z^9 a^{-11} -6 z^8 a^{-6} -20 z^8 a^{-8} -9 z^8 a^{-10} +5 z^8 a^{-12} +z^7 a^{-5} +12 z^7 a^{-7} -10 z^7 a^{-9} -18 z^7 a^{-11} +3 z^7 a^{-13} +17 z^6 a^{-6} +43 z^6 a^{-8} +8 z^6 a^{-10} -17 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-5} -9 z^5 a^{-7} +24 z^5 a^{-9} +22 z^5 a^{-11} -9 z^5 a^{-13} +2 z^4 a^{-4} -14 z^4 a^{-6} -35 z^4 a^{-8} -z^4 a^{-10} +15 z^4 a^{-12} -3 z^4 a^{-14} +5 z^3 a^{-5} +8 z^3 a^{-7} -15 z^3 a^{-9} -14 z^3 a^{-11} +4 z^3 a^{-13} -6 z^2 a^{-4} -2 z^2 a^{-6} +12 z^2 a^{-8} +2 z^2 a^{-10} -5 z^2 a^{-12} +z^2 a^{-14} -6 z a^{-5} -8 z a^{-7} +2 z a^{-9} +4 z a^{-11} +5 a^{-4} +5 a^{-6} - a^{-10} }[/math] |
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