K13n2790
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Polynomial invariants
| Jones polynomial | Data:K13n2790/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+5 t^3-5 t^2+2 t+1+2 t^{-1} -5 t^{-2} +5 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2790/Conway Polynomial |
| Determinant | 27 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -z^8 a^{-6} +z^6 a^{-2} -7 z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} +6 z^4 a^{-2} -18 z^4 a^{-4} -9 z^4 a^{-6} +6 z^4 a^{-8} +12 z^2 a^{-2} -23 z^2 a^{-4} +7 z^2 a^{-8} -z^2 a^{-10} +8 a^{-2} -13 a^{-4} +6 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} -6 z^9 a^{-3} +z^9 a^{-5} +7 z^9 a^{-7} -9 z^8 a^{-2} -37 z^8 a^{-4} -23 z^8 a^{-6} +5 z^8 a^{-8} +8 z^7 a^{-3} -40 z^7 a^{-5} -47 z^7 a^{-7} +z^7 a^{-9} +31 z^6 a^{-2} +96 z^6 a^{-4} +33 z^6 a^{-6} -32 z^6 a^{-8} +10 z^5 a^{-3} +113 z^5 a^{-5} +94 z^5 a^{-7} -8 z^5 a^{-9} +z^5 a^{-11} -50 z^4 a^{-2} -111 z^4 a^{-4} -10 z^4 a^{-6} +48 z^4 a^{-8} -2 z^4 a^{-10} +z^4 a^{-12} -25 z^3 a^{-3} -106 z^3 a^{-5} -72 z^3 a^{-7} +5 z^3 a^{-9} -4 z^3 a^{-11} +36 z^2 a^{-2} +60 z^2 a^{-4} +6 z^2 a^{-6} -16 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +10 z a^{-3} +28 z a^{-5} +21 z a^{-7} +3 z a^{-9} -8 a^{-2} -13 a^{-4} -6 a^{-6} }[/math] |
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