K13n2181
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Polynomial invariants
| Jones polynomial | Data:K13n2181/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t-3+3 t^{-1} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2181/Conway Polynomial |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+a^2 z^4-z^4 a^{-4} -6 z^4+4 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -11 z^2+4 a^2+3 a^{-2} - a^{-4} + a^{-6} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+2 z^{10} a^{-2} +3 z^{10}-8 a z^9-6 z^9 a^{-1} +2 z^9 a^{-3} -9 a^2 z^8-15 z^8 a^{-2} +z^8 a^{-4} -25 z^8+21 a z^7+5 z^7 a^{-1} -15 z^7 a^{-3} +z^7 a^{-5} +29 a^2 z^6+33 z^6 a^{-2} -6 z^6 a^{-4} +2 z^6 a^{-6} +70 z^6-21 a z^5+16 z^5 a^{-1} +32 z^5 a^{-3} -3 z^5 a^{-5} +2 z^5 a^{-7} -41 a^2 z^4-26 z^4 a^{-2} +9 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} -82 z^4+6 a z^3-23 z^3 a^{-1} -22 z^3 a^{-3} +3 z^3 a^{-5} -4 z^3 a^{-7} +24 a^2 z^2+10 z^2 a^{-2} +3 z^2 a^{-6} -2 z^2 a^{-8} +39 z^2+6 z a^{-1} +6 z a^{-3} -4 a^2-3 a^{-2} - a^{-4} - a^{-6} -6 }[/math] |
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