K13n291
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Polynomial invariants
| Jones polynomial | Data:K13n291/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-27 t+35-27 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n291/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-8} +z^4 a^{-4} +4 z^4 a^{-6} -8 z^4 a^{-8} +3 z^4 a^{-10} +2 z^2 a^{-4} +9 z^2 a^{-6} -14 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +5 a^{-6} -9 a^{-8} +5 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +3 z^{10} a^{-8} +7 z^{10} a^{-10} +4 z^{10} a^{-12} +2 z^9 a^{-7} +6 z^9 a^{-9} +10 z^9 a^{-11} +6 z^9 a^{-13} -11 z^8 a^{-8} -20 z^8 a^{-10} -5 z^8 a^{-12} +4 z^8 a^{-14} -7 z^7 a^{-7} -35 z^7 a^{-9} -49 z^7 a^{-11} -20 z^7 a^{-13} +z^7 a^{-15} +5 z^6 a^{-6} +24 z^6 a^{-8} +13 z^6 a^{-10} -20 z^6 a^{-12} -14 z^6 a^{-14} +2 z^5 a^{-5} +21 z^5 a^{-7} +67 z^5 a^{-9} +68 z^5 a^{-11} +17 z^5 a^{-13} -3 z^5 a^{-15} +z^4 a^{-4} -10 z^4 a^{-6} -26 z^4 a^{-8} +z^4 a^{-10} +29 z^4 a^{-12} +13 z^4 a^{-14} -2 z^3 a^{-5} -23 z^3 a^{-7} -56 z^3 a^{-9} -45 z^3 a^{-11} -8 z^3 a^{-13} +2 z^3 a^{-15} -2 z^2 a^{-4} +11 z^2 a^{-6} +22 z^2 a^{-8} +3 z^2 a^{-10} -10 z^2 a^{-12} -4 z^2 a^{-14} +10 z a^{-7} +20 z a^{-9} +13 z a^{-11} +3 z a^{-13} + a^{-4} -5 a^{-6} -9 a^{-8} -5 a^{-10} - a^{-12} }[/math] |
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