K13n1821
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Polynomial invariants
| Jones polynomial | Data:K13n1821/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+6 t-11+6 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1821/Conway Polynomial |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} -z^4 a^{-6} +z^4-5 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +3 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} +z^9 a^{-7} -6 z^8 a^{-2} -8 z^8 a^{-4} +2 z^8 a^{-6} +3 z^8 a^{-8} +z^8-13 z^7 a^{-1} -16 z^7 a^{-3} -7 z^7 a^{-5} -z^7 a^{-7} +3 z^7 a^{-9} +7 z^6 a^{-2} +17 z^6 a^{-4} -8 z^6 a^{-6} -11 z^6 a^{-8} +z^6 a^{-10} -6 z^6+24 z^5 a^{-1} +34 z^5 a^{-3} +13 z^5 a^{-5} -8 z^5 a^{-7} -11 z^5 a^{-9} +3 z^4 a^{-2} -11 z^4 a^{-4} +7 z^4 a^{-6} +8 z^4 a^{-8} -3 z^4 a^{-10} +10 z^4-14 z^3 a^{-1} -23 z^3 a^{-3} -7 z^3 a^{-5} +10 z^3 a^{-7} +8 z^3 a^{-9} -5 z^2 a^{-2} -2 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} -5 z^2+2 z a^{-1} +4 z a^{-3} -3 z a^{-7} -z a^{-9} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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