K13n3548
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Polynomial invariants
| Jones polynomial | Data:K13n3548/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t-13+8 t^{-1} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3548/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -z^4 a^{-2} -5 z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2-4 z^2 a^{-4} +3 z^2 a^{-6} -z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +2 z^9 a^{-5} +2 z^9 a^{-7} +2 z^8 a^{-2} -8 z^8 a^{-4} -7 z^8 a^{-6} +z^8 a^{-8} +2 z^8+2 a z^7-z^7 a^{-1} -6 z^7 a^{-3} -17 z^7 a^{-5} -14 z^7 a^{-7} +a^2 z^6-4 z^6 a^{-2} +20 z^6 a^{-4} +12 z^6 a^{-6} -6 z^6 a^{-8} -5 z^6-7 a z^5-4 z^5 a^{-1} +15 z^5 a^{-3} +40 z^5 a^{-5} +28 z^5 a^{-7} -4 a^2 z^4-2 z^4 a^{-2} -19 z^4 a^{-4} -5 z^4 a^{-6} +9 z^4 a^{-8} -z^4+6 a z^3+3 z^3 a^{-1} -14 z^3 a^{-3} -29 z^3 a^{-5} -18 z^3 a^{-7} +4 a^2 z^2+4 z^2 a^{-2} +9 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2 a^{-8} +4 z^2-2 a z-2 z a^{-1} +3 z a^{-3} +5 z a^{-5} +2 z a^{-7} -a^2- a^{-2} -1 }[/math] |
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