K13n2942
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Polynomial invariants
| Jones polynomial | Data:K13n2942/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+21 t-25+21 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2942/Conway Polynomial |
| Determinant | 103 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +3 z^4 a^{-2} -8 z^4 a^{-4} +3 z^4 a^{-6} +3 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} + a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10} a^{-6} -3 z^9 a^{-3} +4 z^9 a^{-5} +7 z^9 a^{-7} -6 z^8 a^{-2} -21 z^8 a^{-4} -8 z^8 a^{-6} +7 z^8 a^{-8} +2 z^7 a^{-3} -21 z^7 a^{-5} -19 z^7 a^{-7} +4 z^7 a^{-9} +18 z^6 a^{-2} +40 z^6 a^{-4} +2 z^6 a^{-6} -19 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +14 z^5 a^{-3} +34 z^5 a^{-5} +13 z^5 a^{-7} -10 z^5 a^{-9} -16 z^4 a^{-2} -26 z^4 a^{-4} +3 z^4 a^{-6} +11 z^4 a^{-8} -2 z^4 a^{-10} -4 z^3 a^{-1} -14 z^3 a^{-3} -17 z^3 a^{-5} -3 z^3 a^{-7} +4 z^3 a^{-9} +5 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} +z a^{-1} +3 z a^{-3} +z a^{-5} -z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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