K13n409
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Polynomial invariants
| Jones polynomial | Data:K13n409/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3+4 t^2-18 t+27-18 t^{-1} +4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n409/Conway Polynomial |
| Determinant | 69 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +6 z^4 a^{-6} +2 z^4 a^{-8} +2 z^4 a^{-10} +7 z^2 a^{-6} +2 z^2 a^{-8} +z^2 a^{-10} -3 z^2 a^{-12} +2 a^{-6} + a^{-8} - a^{-10} -2 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^{10} a^{-14} +2 z^9 a^{-9} +3 z^9 a^{-11} +4 z^9 a^{-13} +3 z^9 a^{-15} -13 z^8 a^{-10} -25 z^8 a^{-12} -11 z^8 a^{-14} +z^8 a^{-16} -10 z^7 a^{-9} -31 z^7 a^{-11} -36 z^7 a^{-13} -15 z^7 a^{-15} +z^6 a^{-6} -2 z^6 a^{-8} +12 z^6 a^{-10} +25 z^6 a^{-12} +5 z^6 a^{-14} -5 z^6 a^{-16} -2 z^5 a^{-7} +11 z^5 a^{-9} +49 z^5 a^{-11} +60 z^5 a^{-13} +24 z^5 a^{-15} -6 z^4 a^{-6} +4 z^4 a^{-8} +z^4 a^{-10} -9 z^4 a^{-12} +8 z^4 a^{-14} +8 z^4 a^{-16} +2 z^3 a^{-7} -28 z^3 a^{-11} -42 z^3 a^{-13} -16 z^3 a^{-15} +7 z^2 a^{-6} -2 z^2 a^{-8} -5 z^2 a^{-10} +4 z^2 a^{-12} -4 z^2 a^{-14} -4 z^2 a^{-16} +z a^{-7} -2 z a^{-9} +5 z a^{-11} +13 z a^{-13} +5 z a^{-15} -2 a^{-6} + a^{-8} + a^{-10} -2 a^{-12} - a^{-14} }[/math] |
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