K13n2543
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Polynomial invariants
| Jones polynomial | Data:K13n2543/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-41 t+55-41 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2543/Conway Polynomial |
| Determinant | 177 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -2 z^6+3 a^2 z^4+z^4 a^{-4} -5 z^4-a^4 z^2+5 a^2 z^2+2 z^2 a^{-2} -6 z^2-a^4+3 a^2+ a^{-2} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +3 a^2 z^{10}+8 z^{10} a^{-2} +11 z^{10}+a^3 z^9+a z^9+13 z^9 a^{-1} +13 z^9 a^{-3} -8 a^2 z^8-9 z^8 a^{-2} +11 z^8 a^{-4} -28 z^8+2 a^3 z^7-5 a z^7-41 z^7 a^{-1} -29 z^7 a^{-3} +5 z^7 a^{-5} +4 a^4 z^6+25 a^2 z^6-6 z^6 a^{-2} -23 z^6 a^{-4} +z^6 a^{-6} +39 z^6+a^5 z^5+a^3 z^5+15 a z^5+40 z^5 a^{-1} +17 z^5 a^{-3} -8 z^5 a^{-5} -7 a^4 z^4-28 a^2 z^4+3 z^4 a^{-2} +9 z^4 a^{-4} -z^4 a^{-6} -28 z^4-2 a^5 z^3-6 a^3 z^3-11 a z^3-13 z^3 a^{-1} -5 z^3 a^{-3} +z^3 a^{-5} +4 a^4 z^2+12 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +12 z^2+a^5 z+2 a^3 z+2 a z+2 z a^{-1} +z a^{-3} -a^4-3 a^2- a^{-2} -2 }[/math] |
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