K13n2033
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Polynomial invariants
| Jones polynomial | Data:K13n2033/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3-t^2+9 t-13+9 t^{-1} - t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2033/Conway Polynomial |
| Determinant | 31 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+a^2 z^4-z^4 a^{-2} -z^4 a^{-4} -6 z^4+4 a^2 z^2+z^2 a^{-6} -9 z^2+3 a^2+ a^{-2} + a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+z^{10} a^{-2} +2 z^{10}-9 a z^9-9 z^9 a^{-1} -9 a^2 z^8-9 z^8 a^{-2} +z^8 a^{-4} -19 z^8+27 a z^7+26 z^7 a^{-1} +2 z^7 a^{-3} +3 z^7 a^{-5} +28 a^2 z^6+28 z^6 a^{-2} +z^6 a^{-4} +4 z^6 a^{-6} +59 z^6-33 a z^5-28 z^5 a^{-1} -2 z^5 a^{-3} -4 z^5 a^{-5} +3 z^5 a^{-7} -37 a^2 z^4-30 z^4 a^{-2} -z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} -73 z^4+16 a z^3+12 z^3 a^{-1} +3 z^3 a^{-3} +3 z^3 a^{-5} -4 z^3 a^{-7} +20 a^2 z^2+11 z^2 a^{-2} +2 z^2 a^{-6} -z^2 a^{-8} +34 z^2-3 a z-3 z a^{-1} -z a^{-3} -z a^{-5} -3 a^2- a^{-2} + a^{-4} -4 }[/math] |
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