K13n2035
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Polynomial invariants
| Jones polynomial | Data:K13n2035/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+9 t^2-13 t+15-13 t^{-1} +9 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2035/Conway Polynomial |
| Determinant | 69 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -z^6+13 z^4 a^{-2} -4 z^4 a^{-4} -4 z^4+13 z^2 a^{-2} -5 z^2 a^{-4} -5 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-3 z^9 a^{-1} +2 z^9 a^{-3} +5 z^9 a^{-5} -26 z^8 a^{-2} -18 z^8 a^{-4} +3 z^8 a^{-6} -5 z^8+a z^7-z^7 a^{-1} -26 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} +50 z^6 a^{-2} +26 z^6 a^{-4} -12 z^6 a^{-6} +12 z^6-a z^5+14 z^5 a^{-1} +50 z^5 a^{-3} +31 z^5 a^{-5} -4 z^5 a^{-7} +2 a^2 z^4-46 z^4 a^{-2} -22 z^4 a^{-4} +10 z^4 a^{-6} -12 z^4+a^3 z^3+2 a z^3-16 z^3 a^{-1} -39 z^3 a^{-3} -19 z^3 a^{-5} +3 z^3 a^{-7} -a^2 z^2+21 z^2 a^{-2} +11 z^2 a^{-4} -z^2 a^{-6} +8 z^2-a^3 z+6 z a^{-1} +11 z a^{-3} +6 z a^{-5} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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