K13n1898
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Polynomial invariants
| Jones polynomial | Data:K13n1898/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-12 t^2+40 t-57+40 t^{-1} -12 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1898/Conway Polynomial |
| Determinant | 163 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} -4 z^4 a^{-4} -2 z^4+a^2 z^2-4 z^2 a^{-4} +4 z^2 a^{-6} - a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +5 z^{10} a^{-2} +7 z^{10} a^{-4} +2 z^{10} a^{-6} +9 z^9 a^{-1} +14 z^9 a^{-3} +6 z^9 a^{-5} +z^9 a^{-7} +2 z^8 a^{-2} -7 z^8 a^{-4} -z^8 a^{-6} +8 z^8+4 a z^7-17 z^7 a^{-1} -36 z^7 a^{-3} -13 z^7 a^{-5} +2 z^7 a^{-7} +a^2 z^6-22 z^6 a^{-2} -z^6 a^{-4} +7 z^6 a^{-6} +4 z^6 a^{-8} -17 z^6-8 a z^5+10 z^5 a^{-1} +35 z^5 a^{-3} +17 z^5 a^{-5} +z^5 a^{-7} +z^5 a^{-9} -2 a^2 z^4+19 z^4 a^{-2} +2 z^4 a^{-4} -10 z^4 a^{-6} -6 z^4 a^{-8} +11 z^4+4 a z^3-8 z^3 a^{-1} -18 z^3 a^{-3} -9 z^3 a^{-5} -5 z^3 a^{-7} -2 z^3 a^{-9} +a^2 z^2-7 z^2 a^{-2} +4 z^2 a^{-4} +7 z^2 a^{-6} +2 z^2 a^{-8} -5 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +z a^{-7} +z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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