K13n4178
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Polynomial invariants
| Jones polynomial | Data:K13n4178/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4+2 t^3-12 t^2+23 t-27+23 t^{-1} -12 t^{-2} +2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4178/Conway Polynomial |
| Determinant | 99 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +2 z^6 a^{-10} +18 z^4 a^{-8} +6 z^4 a^{-10} -4 z^4 a^{-12} +14 z^2 a^{-8} +4 z^2 a^{-10} -10 z^2 a^{-12} +z^2 a^{-14} +4 a^{-8} -5 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-12} +2 z^{10} a^{-14} +2 z^9 a^{-11} +8 z^9 a^{-13} +6 z^9 a^{-15} +z^8 a^{-8} -2 z^8 a^{-10} -5 z^8 a^{-12} +5 z^8 a^{-14} +7 z^8 a^{-16} -2 z^7 a^{-9} -8 z^7 a^{-11} -20 z^7 a^{-13} -10 z^7 a^{-15} +4 z^7 a^{-17} -8 z^6 a^{-8} +11 z^6 a^{-10} +18 z^6 a^{-12} -18 z^6 a^{-14} -16 z^6 a^{-16} +z^6 a^{-18} +6 z^5 a^{-9} +28 z^5 a^{-11} +29 z^5 a^{-13} -2 z^5 a^{-15} -9 z^5 a^{-17} +18 z^4 a^{-8} -6 z^4 a^{-10} -24 z^4 a^{-12} +9 z^4 a^{-14} +7 z^4 a^{-16} -2 z^4 a^{-18} +z^3 a^{-9} -25 z^3 a^{-11} -30 z^3 a^{-13} +z^3 a^{-15} +5 z^3 a^{-17} -14 z^2 a^{-8} +16 z^2 a^{-12} -z^2 a^{-16} +z^2 a^{-18} -3 z a^{-9} +7 z a^{-11} +13 z a^{-13} +2 z a^{-15} -z a^{-17} +4 a^{-8} -5 a^{-12} -2 a^{-14} }[/math] |
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