K13n189
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Polynomial invariants
| Jones polynomial | Data:K13n189/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-9 t^2+19 t-23+19 t^{-1} -9 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n189/Conway Polynomial |
| Determinant | 83 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} -5 z^2 a^{-2} +4 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +z^2-3 a^{-2} +2 a^{-4} + a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^9 a^{-3} +2 z^9 a^{-7} +4 z^9 a^{-9} +z^8 a^{-2} -7 z^8 a^{-4} -20 z^8 a^{-6} -9 z^8 a^{-8} +3 z^8 a^{-10} -9 z^7 a^{-3} -12 z^7 a^{-5} -19 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} -4 z^6 a^{-2} +6 z^6 a^{-4} +25 z^6 a^{-6} +3 z^6 a^{-8} -12 z^6 a^{-10} +2 z^5 a^{-1} +18 z^5 a^{-3} +23 z^5 a^{-5} +24 z^5 a^{-7} +13 z^5 a^{-9} -4 z^5 a^{-11} +11 z^4 a^{-2} +9 z^4 a^{-4} -13 z^4 a^{-6} +12 z^4 a^{-10} +z^4-4 z^3 a^{-1} -11 z^3 a^{-3} -9 z^3 a^{-5} -10 z^3 a^{-7} -4 z^3 a^{-9} +4 z^3 a^{-11} -12 z^2 a^{-2} -9 z^2 a^{-4} +6 z^2 a^{-6} +2 z^2 a^{-8} -4 z^2 a^{-10} -3 z^2+z a^{-1} +z a^{-3} +z a^{-7} -z a^{-11} +3 a^{-2} +2 a^{-4} - a^{-6} - a^{-8} +2 }[/math] |
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