K13n159
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Polynomial invariants
| Jones polynomial | Data:K13n159/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-14 t+19-14 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n159/Conway Polynomial |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-7 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +5 z^2-a^2-4 a^{-2} +3 a^{-4} - a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a z^9-z^9 a^{-1} +2 z^9 a^{-3} +4 z^9 a^{-5} -24 z^8 a^{-2} -10 z^8 a^{-4} +3 z^8 a^{-6} -11 z^8-6 a z^7-16 z^7 a^{-1} -28 z^7 a^{-3} -17 z^7 a^{-5} +z^7 a^{-7} +29 z^6 a^{-2} -2 z^6 a^{-4} -13 z^6 a^{-6} +18 z^6+13 a z^5+41 z^5 a^{-1} +48 z^5 a^{-3} +16 z^5 a^{-5} -4 z^5 a^{-7} +a^2 z^4+z^4 a^{-2} +19 z^4 a^{-4} +13 z^4 a^{-6} -4 z^4-10 a z^3-29 z^3 a^{-1} -26 z^3 a^{-3} -4 z^3 a^{-5} +3 z^3 a^{-7} -2 a^2 z^2-14 z^2 a^{-2} -13 z^2 a^{-4} -5 z^2 a^{-6} -8 z^2+2 a z+5 z a^{-1} +4 z a^{-3} -z a^{-7} +a^2+4 a^{-2} +3 a^{-4} + a^{-6} +4 }[/math] |
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