K13n162
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Polynomial invariants
| Jones polynomial | Data:K13n162/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+6 t^2+4 t-11+4 t^{-1} +6 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n162/Conway Polynomial |
| Determinant | 5 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +6 z^6 a^{-4} -z^6 a^{-6} -10 z^4 a^{-2} +12 z^4 a^{-4} -7 z^4 a^{-6} +z^4-13 z^2 a^{-2} +15 z^2 a^{-4} -11 z^2 a^{-6} +4 z^2 a^{-8} +4 z^2-6 a^{-2} +8 a^{-4} -7 a^{-6} +4 a^{-8} - a^{-10} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} -z^8 a^{-2} -z^8 a^{-4} -3 z^8 a^{-6} -z^8 a^{-8} +3 z^8 a^{-10} +z^8-11 z^7 a^{-1} -28 z^7 a^{-3} -28 z^7 a^{-5} -26 z^7 a^{-7} -14 z^7 a^{-9} +z^7 a^{-11} -17 z^6 a^{-2} -23 z^6 a^{-4} -18 z^6 a^{-6} -20 z^6 a^{-8} -14 z^6 a^{-10} -6 z^6+18 z^5 a^{-1} +42 z^5 a^{-3} +48 z^5 a^{-5} +40 z^5 a^{-7} +12 z^5 a^{-9} -4 z^5 a^{-11} +38 z^4 a^{-2} +49 z^4 a^{-4} +47 z^4 a^{-6} +39 z^4 a^{-8} +15 z^4 a^{-10} +12 z^4-11 z^3 a^{-1} -24 z^3 a^{-3} -30 z^3 a^{-5} -20 z^3 a^{-7} +3 z^3 a^{-11} -27 z^2 a^{-2} -34 z^2 a^{-4} -33 z^2 a^{-6} -22 z^2 a^{-8} -6 z^2 a^{-10} -10 z^2+2 z a^{-1} +5 z a^{-3} +6 z a^{-5} +3 z a^{-7} -z a^{-9} -z a^{-11} +6 a^{-2} +8 a^{-4} +7 a^{-6} +4 a^{-8} + a^{-10} +3 }[/math] |
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