K13n2308
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Polynomial invariants
| Jones polynomial | Data:K13n2308/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^2+5 t-7+5 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | Data:K13n2308/Conway Polynomial |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} -6 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +4 z^2 a^{-2} -9 z^2 a^{-4} +8 z^2 a^{-6} -2 z^2 a^{-8} +3 a^{-2} -4 a^{-4} +3 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +3 z^9 a^{-7} +3 z^9 a^{-9} -z^8 a^{-4} -7 z^8 a^{-6} -3 z^8 a^{-8} +3 z^8 a^{-10} +z^7 a^{-3} -z^7 a^{-5} -18 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +7 z^6 a^{-4} +16 z^6 a^{-6} -4 z^6 a^{-8} -14 z^6 a^{-10} -5 z^5 a^{-3} +3 z^5 a^{-5} +31 z^5 a^{-7} +19 z^5 a^{-9} -4 z^5 a^{-11} -5 z^4 a^{-2} -19 z^4 a^{-4} -20 z^4 a^{-6} +9 z^4 a^{-8} +15 z^4 a^{-10} +4 z^3 a^{-3} -6 z^3 a^{-5} -21 z^3 a^{-7} -8 z^3 a^{-9} +3 z^3 a^{-11} +7 z^2 a^{-2} +17 z^2 a^{-4} +12 z^2 a^{-6} -z^2 a^{-8} -3 z^2 a^{-10} +z a^{-3} +3 z a^{-5} +4 z a^{-7} +2 z a^{-9} -3 a^{-2} -4 a^{-4} -3 a^{-6} - a^{-8} }[/math] |
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