K13n1874
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Polynomial invariants
| Jones polynomial | Data:K13n1874/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^2+18 t-25+18 t^{-1} -5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1874/Conway Polynomial |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-4} -7 z^4 a^{-2} +3 z^4 a^{-4} -2 z^4 a^{-6} +z^4-10 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +4 z^2-4 a^{-2} +2 a^{-4} +3 }[/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} -3 z^8 a^{-4} +4 z^8 a^{-6} +6 z^8 a^{-8} +z^8-8 z^7 a^{-1} -8 z^7 a^{-3} -10 z^7 a^{-5} -6 z^7 a^{-7} +4 z^7 a^{-9} -7 z^6 a^{-2} +4 z^6 a^{-4} -12 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} -7 z^6+16 z^5 a^{-1} +22 z^5 a^{-3} +12 z^5 a^{-5} -4 z^5 a^{-7} -10 z^5 a^{-9} +26 z^4 a^{-2} +7 z^4 a^{-4} +3 z^4 a^{-6} +6 z^4 a^{-8} -2 z^4 a^{-10} +14 z^4-9 z^3 a^{-1} -11 z^3 a^{-3} -7 z^3 a^{-5} +5 z^3 a^{-9} -20 z^2 a^{-2} -7 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-10} -11 z^2+z a^{-1} +z a^{-3} +z a^{-5} +z a^{-7} +4 a^{-2} +2 a^{-4} +3 }[/math] |
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