K13n2518
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Polynomial invariants
| Jones polynomial | Data:K13n2518/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^3+23 t^2-44 t+53-44 t^{-1} +23 t^{-2} -5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2518/Conway Polynomial |
| Determinant | 197 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} +z^4 a^{-4} -9 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +z^2 a^{-2} +7 z^2 a^{-4} -9 z^2 a^{-6} +z^2 a^{-8} +3 z^2 a^{-10} +4 a^{-4} -4 a^{-6} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +7 z^{10} a^{-6} +12 z^{10} a^{-8} +5 z^{10} a^{-10} +11 z^9 a^{-5} +16 z^9 a^{-7} +9 z^9 a^{-9} +4 z^9 a^{-11} +9 z^8 a^{-4} -18 z^8 a^{-8} -8 z^8 a^{-10} +z^8 a^{-12} +4 z^7 a^{-3} -22 z^7 a^{-5} -44 z^7 a^{-7} -22 z^7 a^{-9} -4 z^7 a^{-11} +z^6 a^{-2} -20 z^6 a^{-4} -31 z^6 a^{-6} +3 z^6 a^{-8} +19 z^6 a^{-10} +6 z^6 a^{-12} -7 z^5 a^{-3} +13 z^5 a^{-5} +34 z^5 a^{-7} +18 z^5 a^{-9} +7 z^5 a^{-11} +3 z^5 a^{-13} -2 z^4 a^{-2} +17 z^4 a^{-4} +41 z^4 a^{-6} +8 z^4 a^{-8} -27 z^4 a^{-10} -13 z^4 a^{-12} +2 z^3 a^{-3} -3 z^3 a^{-5} -2 z^3 a^{-7} -3 z^3 a^{-9} -11 z^3 a^{-11} -5 z^3 a^{-13} +z^2 a^{-2} -13 z^2 a^{-4} -21 z^2 a^{-6} +13 z^2 a^{-10} +6 z^2 a^{-12} -2 z a^{-5} -3 z a^{-7} -z a^{-9} +2 z a^{-11} +2 z a^{-13} +4 a^{-4} +4 a^{-6} -2 a^{-10} - a^{-12} }[/math] |
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