K13n2666
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Polynomial invariants
| Jones polynomial | Data:K13n2666/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+16 t^2-23 t+25-23 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2666/Conway Polynomial |
| Determinant | 117 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -2 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -7 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4 a^{-8} +3 z^2 a^{-2} -5 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} + a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +5 z^{10} a^{-6} +4 z^{10} a^{-8} -2 z^9 a^{-5} +5 z^9 a^{-7} +7 z^9 a^{-9} -3 z^8 a^{-4} -17 z^8 a^{-6} -6 z^8 a^{-8} +8 z^8 a^{-10} +3 z^7 a^{-3} +3 z^7 a^{-5} -22 z^7 a^{-7} -15 z^7 a^{-9} +7 z^7 a^{-11} +z^6 a^{-2} +8 z^6 a^{-4} +26 z^6 a^{-6} -15 z^6 a^{-10} +4 z^6 a^{-12} -9 z^5 a^{-3} -2 z^5 a^{-5} +34 z^5 a^{-7} +14 z^5 a^{-9} -12 z^5 a^{-11} +z^5 a^{-13} -4 z^4 a^{-2} -15 z^4 a^{-4} -16 z^4 a^{-6} +10 z^4 a^{-8} +9 z^4 a^{-10} -6 z^4 a^{-12} +5 z^3 a^{-3} -3 z^3 a^{-5} -17 z^3 a^{-7} -5 z^3 a^{-9} +3 z^3 a^{-11} -z^3 a^{-13} +4 z^2 a^{-2} +6 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} -3 z^2 a^{-10} +3 z a^{-7} +3 z a^{-9} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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