K13n2146
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Polynomial invariants
| Jones polynomial | Data:K13n2146/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-20 t+25-20 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2146/Conway Polynomial |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +5 z^2 a^{-4} -z^2 a^{-6} -4 z^2 a^{-8} +2 z^2 a^{-10} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +5 z^{10} a^{-8} +4 z^{10} a^{-10} -3 z^9 a^{-7} +3 z^9 a^{-9} +6 z^9 a^{-11} -5 z^8 a^{-6} -24 z^8 a^{-8} -14 z^8 a^{-10} +5 z^8 a^{-12} +z^7 a^{-5} +z^7 a^{-7} -26 z^7 a^{-9} -23 z^7 a^{-11} +3 z^7 a^{-13} +14 z^6 a^{-6} +48 z^6 a^{-8} +17 z^6 a^{-10} -16 z^6 a^{-12} +z^6 a^{-14} +16 z^5 a^{-7} +56 z^5 a^{-9} +31 z^5 a^{-11} -9 z^5 a^{-13} +2 z^4 a^{-4} -12 z^4 a^{-6} -35 z^4 a^{-8} -6 z^4 a^{-10} +12 z^4 a^{-12} -3 z^4 a^{-14} -z^3 a^{-5} -19 z^3 a^{-7} -42 z^3 a^{-9} -20 z^3 a^{-11} +4 z^3 a^{-13} -5 z^2 a^{-4} +z^2 a^{-6} +11 z^2 a^{-8} +z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} -z a^{-5} +5 z a^{-7} +11 z a^{-9} +5 z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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