K13n2722
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Polynomial invariants
| Jones polynomial | Data:K13n2722/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+11 t^2-14 t+15-14 t^{-1} +11 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2722/Conway Polynomial |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-2 a^4 z^6+6 a^2 z^6-z^6+a^6 z^4-9 a^4 z^4+13 a^2 z^4-4 z^4+3 a^6 z^2-11 a^4 z^2+13 a^2 z^2-4 z^2+a^6-4 a^4+5 a^2-1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+3 a^7 z^9+2 a^5 z^9+a z^9+a^8 z^8-13 a^6 z^8-21 a^4 z^8-7 a^2 z^8-16 a^7 z^7-27 a^5 z^7-10 a^3 z^7+a z^7-5 a^8 z^6+12 a^6 z^6+26 a^4 z^6+16 a^2 z^6+7 z^6+26 a^7 z^5+47 a^5 z^5+15 a^3 z^5-a z^5+5 z^5 a^{-1} +7 a^8 z^4+2 a^6 z^4-19 a^4 z^4-28 a^2 z^4+3 z^4 a^{-2} -11 z^4-15 a^7 z^3-27 a^5 z^3-14 a^3 z^3-7 a z^3-4 z^3 a^{-1} +z^3 a^{-3} -3 a^8 z^2-a^6 z^2+14 a^4 z^2+18 a^2 z^2-z^2 a^{-2} +5 z^2+2 a^7 z+6 a^5 z+6 a^3 z+3 a z+z a^{-1} -a^6-4 a^4-5 a^2-1 }[/math] |
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