K13n3139
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Polynomial invariants
| Jones polynomial | Data:K13n3139/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+18 t^2-41 t+53-41 t^{-1} +18 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3139/Conway Polynomial |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} +z^4 a^{-2} -z^4 a^{-4} -4 z^4 a^{-6} +4 z^4 a^{-8} +2 z^2 a^{-2} -2 z^2 a^{-6} +6 z^2 a^{-8} -2 z^2 a^{-10} + a^{-2} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +6 z^9 a^{-5} +13 z^9 a^{-7} +10 z^9 a^{-9} +3 z^9 a^{-11} +5 z^8 a^{-4} +4 z^8 a^{-6} +2 z^8 a^{-8} +4 z^8 a^{-10} +z^8 a^{-12} +3 z^7 a^{-3} -7 z^7 a^{-5} -24 z^7 a^{-7} -11 z^7 a^{-9} +3 z^7 a^{-11} +z^6 a^{-2} -8 z^6 a^{-4} -18 z^6 a^{-6} -22 z^6 a^{-8} -7 z^6 a^{-10} +6 z^6 a^{-12} -7 z^5 a^{-3} -z^5 a^{-5} +10 z^5 a^{-7} -8 z^5 a^{-9} -9 z^5 a^{-11} +3 z^5 a^{-13} -3 z^4 a^{-2} +2 z^4 a^{-4} +15 z^4 a^{-6} +19 z^4 a^{-8} -2 z^4 a^{-10} -11 z^4 a^{-12} +5 z^3 a^{-3} +5 z^3 a^{-5} +3 z^3 a^{-7} +11 z^3 a^{-9} +4 z^3 a^{-11} -4 z^3 a^{-13} +3 z^2 a^{-2} +z^2 a^{-4} -5 z^2 a^{-6} -7 z^2 a^{-8} +4 z^2 a^{-12} -z a^{-3} -3 z a^{-5} -2 z a^{-7} -2 z a^{-9} -z a^{-11} +z a^{-13} - a^{-2} + a^{-8} + a^{-10} }[/math] |
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