K13n2627
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Polynomial invariants
| Jones polynomial | Data:K13n2627/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-16 t+15-16 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2627/Conway Polynomial |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -8 z^4 a^{-2} +8 z^4 a^{-4} -3 z^4 a^{-6} +z^4-7 z^2 a^{-2} +6 z^2 a^{-4} +3 z^2- a^{-2} + a^{-4} + a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +5 z^{10} a^{-4} +2 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} +z^9 a^{-7} -11 z^8 a^{-2} -16 z^8 a^{-4} -4 z^8 a^{-6} +z^8-15 z^7 a^{-1} -27 z^7 a^{-3} -8 z^7 a^{-5} +4 z^7 a^{-7} +4 z^6 a^{-2} +7 z^6 a^{-4} +7 z^6 a^{-6} +9 z^6 a^{-8} -5 z^6+23 z^5 a^{-1} +37 z^5 a^{-3} -8 z^5 a^{-7} +6 z^5 a^{-9} +14 z^4 a^{-2} +6 z^4 a^{-4} -17 z^4 a^{-6} -14 z^4 a^{-8} +3 z^4 a^{-10} +8 z^4-12 z^3 a^{-1} -12 z^3 a^{-3} +4 z^3 a^{-5} -2 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} -9 z^2 a^{-2} -2 z^2 a^{-4} +8 z^2 a^{-6} +6 z^2 a^{-8} -5 z^2+z a^{-1} +z a^{-3} -z a^{-5} +z a^{-7} +2 z a^{-9} + a^{-2} + a^{-4} - a^{-6} - a^{-8} +1 }[/math] |
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