K13n1728
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Polynomial invariants
| Jones polynomial | Data:K13n1728/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:K13n1728/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -2 z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} -4 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +z^2-2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-3} +4 z^9 a^{-5} +2 z^9 a^{-7} +z^8 a^{-2} -z^8 a^{-4} -z^8 a^{-6} +z^8 a^{-8} -8 z^7 a^{-3} -15 z^7 a^{-5} -7 z^7 a^{-7} -2 z^6 a^{-2} -5 z^6 a^{-4} -3 z^6 a^{-6} +3 z^5 a^{-1} +17 z^5 a^{-3} +23 z^5 a^{-5} +12 z^5 a^{-7} +3 z^5 a^{-9} +7 z^4 a^{-2} +19 z^4 a^{-4} +6 z^4 a^{-6} -7 z^4 a^{-8} +z^4-5 z^3 a^{-1} -11 z^3 a^{-3} -11 z^3 a^{-5} -14 z^3 a^{-7} -9 z^3 a^{-9} -9 z^2 a^{-2} -14 z^2 a^{-4} -2 z^2 a^{-6} +5 z^2 a^{-8} -2 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +5 z a^{-7} +4 z a^{-9} +2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
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