K13n2135
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Polynomial invariants
| Jones polynomial | Data:K13n2135/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-t^3-4 t^2+15 t-21+15 t^{-1} -4 t^{-2} - t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2135/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +8 z^6 a^{-2} -z^6+20 z^4 a^{-2} -3 z^4 a^{-4} -z^4 a^{-6} -6 z^4+22 z^2 a^{-2} -6 z^2 a^{-4} -z^2 a^{-6} -9 z^2+9 a^{-2} -3 a^{-4} - a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+z^9 a^{-1} +z^9 a^{-3} +z^9 a^{-5} -10 z^8 a^{-2} +3 z^8 a^{-4} +4 z^8 a^{-6} -9 z^8-8 a z^7-12 z^7 a^{-1} -4 z^7 a^{-3} +5 z^7 a^{-5} +5 z^7 a^{-7} +35 z^6 a^{-2} +z^6 a^{-4} -6 z^6 a^{-6} +3 z^6 a^{-8} +25 z^6+20 a z^5+39 z^5 a^{-1} +17 z^5 a^{-3} -13 z^5 a^{-5} -10 z^5 a^{-7} +z^5 a^{-9} -45 z^4 a^{-2} -11 z^4 a^{-4} +2 z^4 a^{-6} -5 z^4 a^{-8} -27 z^4-19 a z^3-41 z^3 a^{-1} -19 z^3 a^{-3} +11 z^3 a^{-5} +6 z^3 a^{-7} -2 z^3 a^{-9} +29 z^2 a^{-2} +13 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +13 z^2+6 a z+13 z a^{-1} +8 z a^{-3} -4 z a^{-5} -4 z a^{-7} +z a^{-9} -9 a^{-2} -3 a^{-4} + a^{-6} -4 }[/math] |
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