K13n47
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Polynomial invariants
| Jones polynomial | Data:K13n47/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+18 t^2-26 t+29-26 t^{-1} +18 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n47/Conway Polynomial |
| Determinant | 133 |
| 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} -13 z^4 a^{-4} +10 z^4 a^{-6} -3 z^4 a^{-8} +7 z^2 a^{-2} -17 z^2 a^{-4} +11 z^2 a^{-6} -2 z^2 a^{-8} +5 a^{-2} -8 a^{-4} +5 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +2 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} +2 z^9 a^{-5} +8 z^9 a^{-7} +7 z^9 a^{-9} -7 z^8 a^{-4} -17 z^8 a^{-6} -2 z^8 a^{-8} +8 z^8 a^{-10} -z^7 a^{-3} -13 z^7 a^{-5} -30 z^7 a^{-7} -11 z^7 a^{-9} +7 z^7 a^{-11} +3 z^6 a^{-2} +19 z^6 a^{-4} +24 z^6 a^{-6} -8 z^6 a^{-8} -12 z^6 a^{-10} +4 z^6 a^{-12} -2 z^5 a^{-3} +25 z^5 a^{-5} +46 z^5 a^{-7} +7 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} -12 z^4 a^{-2} -38 z^4 a^{-4} -22 z^4 a^{-6} +14 z^4 a^{-8} +4 z^4 a^{-10} -6 z^4 a^{-12} -2 z^3 a^{-3} -27 z^3 a^{-5} -31 z^3 a^{-7} -2 z^3 a^{-9} +3 z^3 a^{-11} -z^3 a^{-13} +14 z^2 a^{-2} +30 z^2 a^{-4} +14 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-12} +3 z a^{-3} +9 z a^{-5} +8 z a^{-7} +2 z a^{-9} -5 a^{-2} -8 a^{-4} -5 a^{-6} - a^{-8} }[/math] |
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