K13n1855
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Polynomial invariants
| Jones polynomial | Data:K13n1855/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+13 t-17+13 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n1855/Conway Polynomial |
| Determinant | 55 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +4 z^4 a^{-2} -2 z^4 a^{-4} -z^4+7 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -2 z^2+4 a^{-2} -2 a^{-4} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +3 z^9 a^{-3} +2 z^9 a^{-5} -4 z^8 a^{-2} -3 z^8 a^{-4} +z^8 a^{-6} -3 z^7 a^{-1} -11 z^7 a^{-3} -8 z^7 a^{-5} +11 z^6 a^{-2} +8 z^6 a^{-4} +3 z^6+a z^5+6 z^5 a^{-1} +20 z^5 a^{-3} +19 z^5 a^{-5} +4 z^5 a^{-7} -15 z^4 a^{-2} -8 z^4 a^{-4} +z^4 a^{-8} -8 z^4-3 a z^3-8 z^3 a^{-1} -14 z^3 a^{-3} -15 z^3 a^{-5} -6 z^3 a^{-7} +11 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +4 z^2+a z+3 z a^{-1} +5 z a^{-3} +3 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math] |
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