K13a3958
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Polynomial invariants
| Jones polynomial | Data:K13a3958/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-19 t^3+56 t^2-97 t+115-97 t^{-1} +56 t^{-2} -19 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a3958/Conway Polynomial |
| Determinant | 465 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} -z^6 a^{-2} +2 z^6 a^{-4} +7 z^6 a^{-6} -3 z^6 a^{-8} -2 z^4 a^{-2} +2 z^4 a^{-4} +9 z^4 a^{-6} -8 z^4 a^{-8} +z^4 a^{-10} -z^2 a^{-2} +4 z^2 a^{-4} +5 z^2 a^{-6} -6 z^2 a^{-8} +2 z^2 a^{-10} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-6} +5 z^{12} a^{-8} +15 z^{11} a^{-5} +33 z^{11} a^{-7} +18 z^{11} a^{-9} +18 z^{10} a^{-4} +38 z^{10} a^{-6} +47 z^{10} a^{-8} +27 z^{10} a^{-10} +12 z^9 a^{-3} -10 z^9 a^{-5} -45 z^9 a^{-7} +23 z^9 a^{-11} +5 z^8 a^{-2} -37 z^8 a^{-4} -121 z^8 a^{-6} -137 z^8 a^{-8} -45 z^8 a^{-10} +13 z^8 a^{-12} +z^7 a^{-1} -26 z^7 a^{-3} -35 z^7 a^{-5} -25 z^7 a^{-7} -61 z^7 a^{-9} -39 z^7 a^{-11} +5 z^7 a^{-13} -11 z^6 a^{-2} +25 z^6 a^{-4} +124 z^6 a^{-6} +138 z^6 a^{-8} +31 z^6 a^{-10} -18 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-1} +19 z^5 a^{-3} +45 z^5 a^{-5} +61 z^5 a^{-7} +72 z^5 a^{-9} +29 z^5 a^{-11} -6 z^5 a^{-13} +8 z^4 a^{-2} -7 z^4 a^{-4} -64 z^4 a^{-6} -71 z^4 a^{-8} -12 z^4 a^{-10} +9 z^4 a^{-12} -z^4 a^{-14} +z^3 a^{-1} -6 z^3 a^{-3} -20 z^3 a^{-5} -34 z^3 a^{-7} -32 z^3 a^{-9} -9 z^3 a^{-11} +2 z^3 a^{-13} -2 z^2 a^{-2} -2 z^2 a^{-4} +14 z^2 a^{-6} +17 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} +z a^{-3} +3 z a^{-5} +7 z a^{-7} +5 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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