K14n478
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Polynomial invariants
| Jones polynomial | Data:K14n478/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^4+14 t^3-25 t^2+27 t-25+27 t^{-1} -25 t^{-2} +14 t^{-3} -3 t^{-4} }[/math] |
| Conway polynomial | Data:K14n478/Conway Polynomial |
| Determinant | Data:K14n478/Determinant |
| Signature | Data:K14n478/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -2 z^8 a^{-8} +z^6 a^{-4} -3 z^6 a^{-6} -11 z^6 a^{-8} +3 z^6 a^{-10} +4 z^4 a^{-4} +2 z^4 a^{-6} -21 z^4 a^{-8} +15 z^4 a^{-10} -z^4 a^{-12} +4 z^2 a^{-4} +8 z^2 a^{-6} -21 z^2 a^{-8} +20 z^2 a^{-10} -6 z^2 a^{-12} + a^{-4} +4 a^{-6} -9 a^{-8} +9 a^{-10} -5 a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-8} +z^{12} a^{-10} +4 z^{11} a^{-7} +8 z^{11} a^{-9} +4 z^{11} a^{-11} +5 z^{10} a^{-6} +11 z^{10} a^{-8} +12 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^9 a^{-5} -10 z^9 a^{-7} -23 z^9 a^{-9} -6 z^9 a^{-11} +4 z^9 a^{-13} +z^8 a^{-4} -21 z^8 a^{-6} -66 z^8 a^{-8} -69 z^8 a^{-10} -24 z^8 a^{-12} +z^8 a^{-14} -13 z^7 a^{-5} -9 z^7 a^{-7} -5 z^7 a^{-9} -23 z^7 a^{-11} -14 z^7 a^{-13} -5 z^6 a^{-4} +27 z^6 a^{-6} +113 z^6 a^{-8} +123 z^6 a^{-10} +44 z^6 a^{-12} +2 z^6 a^{-14} +16 z^5 a^{-5} +29 z^5 a^{-7} +52 z^5 a^{-9} +65 z^5 a^{-11} +30 z^5 a^{-13} +4 z^5 a^{-15} +8 z^4 a^{-4} -21 z^4 a^{-6} -97 z^4 a^{-8} -103 z^4 a^{-10} -39 z^4 a^{-12} -3 z^4 a^{-14} +z^4 a^{-16} -7 z^3 a^{-5} -23 z^3 a^{-7} -44 z^3 a^{-9} -50 z^3 a^{-11} -28 z^3 a^{-13} -6 z^3 a^{-15} -5 z^2 a^{-4} +13 z^2 a^{-6} +45 z^2 a^{-8} +46 z^2 a^{-10} +21 z^2 a^{-12} +z^2 a^{-14} -z^2 a^{-16} +z a^{-5} +7 z a^{-7} +11 z a^{-9} +12 z a^{-11} +9 z a^{-13} +2 z a^{-15} + a^{-4} -4 a^{-6} -9 a^{-8} -9 a^{-10} -5 a^{-12} - a^{-14} }[/math] |
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