K13n249
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Polynomial invariants
| Jones polynomial | Data:K13n249/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-25 t+33-25 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n249/Conway Polynomial |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} -z^4-a^4 z^2+3 a^2 z^2-5 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2-a^4+a^2-3 a^{-2} + a^{-4} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+3 z^{10} a^{-2} +5 z^{10}+a^3 z^9+3 z^9 a^{-1} +4 z^9 a^{-3} -8 a^2 z^8-5 z^8 a^{-2} +4 z^8 a^{-4} -17 z^8-2 a^3 z^7-6 a z^7-14 z^7 a^{-1} -7 z^7 a^{-3} +3 z^7 a^{-5} +3 a^4 z^6+21 a^2 z^6+z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} +29 z^6+a^5 z^5+7 a^3 z^5+21 a z^5+22 z^5 a^{-1} -2 z^5 a^{-3} -9 z^5 a^{-5} -7 a^4 z^4-21 a^2 z^4+5 z^4 a^{-2} +3 z^4 a^{-4} -3 z^4 a^{-6} -15 z^4-3 a^5 z^3-11 a^3 z^3-17 a z^3-9 z^3 a^{-1} +7 z^3 a^{-3} +7 z^3 a^{-5} +4 a^4 z^2+7 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} +2 z^2 a^{-6} -z^2+2 a^5 z+4 a^3 z+3 a z-z a^{-1} -4 z a^{-3} -2 z a^{-5} -a^4-a^2+3 a^{-2} + a^{-4} +3 }[/math] |
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