K13n223
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Polynomial invariants
| Jones polynomial | Data:K13n223/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+14 t-19+14 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n223/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-4} +4 z^4 a^{-6} -2 z^4 a^{-8} +z^2 a^{-2} -z^2 a^{-4} +7 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} + a^{-2} - a^{-4} +4 a^{-6} -4 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +2 z^9 a^{-5} +2 z^9 a^{-7} +3 z^9 a^{-9} +3 z^9 a^{-11} -16 z^8 a^{-6} -30 z^8 a^{-8} -13 z^8 a^{-10} +z^8 a^{-12} -11 z^7 a^{-5} -32 z^7 a^{-7} -37 z^7 a^{-9} -16 z^7 a^{-11} +z^6 a^{-4} +28 z^6 a^{-6} +43 z^6 a^{-8} +11 z^6 a^{-10} -5 z^6 a^{-12} +20 z^5 a^{-5} +65 z^5 a^{-7} +71 z^5 a^{-9} +26 z^5 a^{-11} -4 z^4 a^{-4} -27 z^4 a^{-6} -28 z^4 a^{-8} +2 z^4 a^{-10} +7 z^4 a^{-12} -17 z^3 a^{-5} -51 z^3 a^{-7} -51 z^3 a^{-9} -17 z^3 a^{-11} +z^2 a^{-2} +4 z^2 a^{-4} +15 z^2 a^{-6} +14 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +z a^{-3} +5 z a^{-5} +14 z a^{-7} +14 z a^{-9} +4 z a^{-11} - a^{-2} - a^{-4} -4 a^{-6} -4 a^{-8} - a^{-10} }[/math] |
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