K13n4291
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Polynomial invariants
| Jones polynomial | Data:K13n4291/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-39 t+47-39 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4291/Conway Polynomial |
| Determinant | 185 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -11 z^4 a^{-4} +12 z^4 a^{-6} -3 z^4 a^{-8} +5 z^2 a^{-2} -13 z^2 a^{-4} +14 z^2 a^{-6} -4 z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +11 z^{10} a^{-6} +8 z^{10} a^{-8} +z^9 a^{-3} +z^9 a^{-5} +14 z^9 a^{-7} +14 z^9 a^{-9} -7 z^8 a^{-4} -26 z^8 a^{-6} -5 z^8 a^{-8} +14 z^8 a^{-10} +3 z^7 a^{-3} -2 z^7 a^{-5} -41 z^7 a^{-7} -27 z^7 a^{-9} +9 z^7 a^{-11} +3 z^6 a^{-2} +18 z^6 a^{-4} +34 z^6 a^{-6} -11 z^6 a^{-8} -26 z^6 a^{-10} +4 z^6 a^{-12} -12 z^5 a^{-3} -7 z^5 a^{-5} +41 z^5 a^{-7} +23 z^5 a^{-9} -12 z^5 a^{-11} +z^5 a^{-13} -9 z^4 a^{-2} -36 z^4 a^{-4} -39 z^4 a^{-6} +13 z^4 a^{-8} +21 z^4 a^{-10} -4 z^4 a^{-12} +8 z^3 a^{-3} +z^3 a^{-5} -20 z^3 a^{-7} -7 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +9 z^2 a^{-2} +25 z^2 a^{-4} +22 z^2 a^{-6} -6 z^2 a^{-10} +z a^{-5} +3 z a^{-7} +z a^{-9} -z a^{-11} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math] |
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