K13n2609
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Polynomial invariants
| Jones polynomial | Data:K13n2609/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+23 t^2-43 t+53-43 t^{-1} +23 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2609/Conway Polynomial |
| Determinant | 201 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -2 z^6 a^{-6} -2 z^4 a^{-2} +6 z^4 a^{-4} -4 z^4 a^{-6} +z^4 a^{-8} +3 z^2 a^{-4} -z^2 a^{-8} + a^{-2} +2 a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +13 z^{10} a^{-6} +6 z^{10} a^{-8} +9 z^9 a^{-3} +17 z^9 a^{-5} +15 z^9 a^{-7} +7 z^9 a^{-9} +5 z^8 a^{-2} -7 z^8 a^{-4} -17 z^8 a^{-6} -z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -25 z^7 a^{-3} -55 z^7 a^{-5} -36 z^7 a^{-7} -6 z^7 a^{-9} +z^7 a^{-11} -14 z^6 a^{-2} -21 z^6 a^{-4} -12 z^6 a^{-6} -2 z^6 a^{-8} +3 z^6 a^{-10} -2 z^5 a^{-1} +18 z^5 a^{-3} +39 z^5 a^{-5} +23 z^5 a^{-7} +11 z^5 a^{-9} +7 z^5 a^{-11} +11 z^4 a^{-2} +24 z^4 a^{-4} +10 z^4 a^{-6} -8 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4 a^{-12} +z^3 a^{-1} -z^3 a^{-3} -6 z^3 a^{-5} -11 z^3 a^{-7} -14 z^3 a^{-9} -7 z^3 a^{-11} -z^2 a^{-2} -4 z^2 a^{-4} +2 z^2 a^{-6} +8 z^2 a^{-8} +z^2 a^{-10} -2 z^2 a^{-12} -z a^{-5} +3 z a^{-7} +7 z a^{-9} +3 z a^{-11} - a^{-2} -2 a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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