K13n3889
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Polynomial invariants
| Jones polynomial | Data:K13n3889/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-6 t^2+13 t-17+13 t^{-1} -6 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3889/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -6 z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} -12 z^4 a^{-4} +4 z^4 a^{-6} +z^4-2 z^2 a^{-2} -7 z^2 a^{-4} +6 z^2 a^{-6} +3 z^2-2 a^{-2} +2 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -4 z^8 a^{-4} +3 z^8 a^{-6} +6 z^8 a^{-8} +z^8-8 z^7 a^{-1} -9 z^7 a^{-3} -14 z^7 a^{-5} -9 z^7 a^{-7} +4 z^7 a^{-9} -6 z^6 a^{-2} +6 z^6 a^{-4} -14 z^6 a^{-6} -18 z^6 a^{-8} +z^6 a^{-10} -7 z^6+17 z^5 a^{-1} +26 z^5 a^{-3} +22 z^5 a^{-5} +2 z^5 a^{-7} -11 z^5 a^{-9} +21 z^4 a^{-2} +4 z^4 a^{-4} +11 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +14 z^4-12 z^3 a^{-1} -20 z^3 a^{-3} -15 z^3 a^{-5} -2 z^3 a^{-7} +5 z^3 a^{-9} -15 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} -10 z^2+3 z a^{-1} +6 z a^{-3} +4 z a^{-5} +2 z a^{-7} +z a^{-9} +2 a^{-2} -2 a^{-6} - a^{-8} +2 }[/math] |
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