K13n3886
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Polynomial invariants
| Jones polynomial | Data:K13n3886/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2-t+5- t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n3886/Conway Polynomial |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+2 a^4-z^4 a^2-3 z^2 a^2-a^2-z^4-4 z^2-2-z^2 a^{-2} +z^4 a^{-4} +3 z^2 a^{-4} +3 a^{-4} -z^2 a^{-6} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+z^{10} a^{-2} +2 z^{10}+a^3 z^9-8 a z^9-10 z^9 a^{-1} +z^9 a^{-5} +a^4 z^8-6 a^2 z^8-10 z^8 a^{-2} +2 z^8 a^{-4} +2 z^8 a^{-6} -17 z^8-6 a^3 z^7+24 a z^7+36 z^7 a^{-1} +z^7 a^{-3} -4 z^7 a^{-5} +z^7 a^{-7} -7 a^4 z^6+9 a^2 z^6+33 z^6 a^{-2} -11 z^6 a^{-4} -11 z^6 a^{-6} +49 z^6+9 a^3 z^5-40 a z^5-62 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} -5 z^5 a^{-7} +15 a^4 z^4-2 a^2 z^4-45 z^4 a^{-2} +17 z^4 a^{-4} +17 z^4 a^{-6} -62 z^4-2 a^3 z^3+37 a z^3+51 z^3 a^{-1} +11 z^3 a^{-3} +5 z^3 a^{-5} +6 z^3 a^{-7} -11 a^4 z^2-2 a^2 z^2+19 z^2 a^{-2} -11 z^2 a^{-4} -8 z^2 a^{-6} +31 z^2-a^3 z-13 a z-18 z a^{-1} -7 z a^{-3} -2 z a^{-5} -z a^{-7} +2 a^4+a^2+3 a^{-4} + a^{-6} -2 }[/math] |
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