K14a10221
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Polynomial invariants
| Jones polynomial | Data:K14a10221/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^4-22 t^3+61 t^2-105 t+125-105 t^{-1} +61 t^{-2} -22 t^{-3} +4 t^{-4} }[/math] |
| Conway polynomial | Data:K14a10221/Conway Polynomial |
| Determinant | Data:K14a10221/Determinant |
| Signature | Data:K14a10221/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} +z^8 a^{-8} -z^6 a^{-2} +3 z^6 a^{-4} +7 z^6 a^{-6} +2 z^6 a^{-8} -z^6 a^{-10} -3 z^4 a^{-2} +5 z^4 a^{-4} +9 z^4 a^{-6} -2 z^4 a^{-10} -3 z^2 a^{-2} +7 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2 a^{-8} -z^2 a^{-10} - a^{-2} +4 a^{-4} - a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{13} a^{-7} +2 z^{13} a^{-9} +6 z^{12} a^{-6} +14 z^{12} a^{-8} +8 z^{12} a^{-10} +10 z^{11} a^{-5} +19 z^{11} a^{-7} +24 z^{11} a^{-9} +15 z^{11} a^{-11} +11 z^{10} a^{-4} +13 z^{10} a^{-6} -4 z^{10} a^{-8} +11 z^{10} a^{-10} +17 z^{10} a^{-12} +8 z^9 a^{-3} -4 z^9 a^{-5} -24 z^9 a^{-7} -42 z^9 a^{-9} -18 z^9 a^{-11} +12 z^9 a^{-13} +4 z^8 a^{-2} -18 z^8 a^{-4} -41 z^8 a^{-6} -21 z^8 a^{-8} -43 z^8 a^{-10} -36 z^8 a^{-12} +5 z^8 a^{-14} +z^7 a^{-1} -17 z^7 a^{-3} -24 z^7 a^{-5} -19 z^7 a^{-7} +7 z^7 a^{-9} -9 z^7 a^{-11} -28 z^7 a^{-13} +z^7 a^{-15} -11 z^6 a^{-2} +3 z^6 a^{-4} +28 z^6 a^{-6} +2 z^6 a^{-8} +22 z^6 a^{-10} +23 z^6 a^{-12} -11 z^6 a^{-14} -3 z^5 a^{-1} +9 z^5 a^{-3} +28 z^5 a^{-5} +39 z^5 a^{-7} +15 z^5 a^{-9} +15 z^5 a^{-11} +21 z^5 a^{-13} -2 z^5 a^{-15} +11 z^4 a^{-2} +10 z^4 a^{-4} -3 z^4 a^{-6} +14 z^4 a^{-8} +4 z^4 a^{-10} -5 z^4 a^{-12} +7 z^4 a^{-14} +3 z^3 a^{-1} +2 z^3 a^{-3} -8 z^3 a^{-5} -17 z^3 a^{-7} -9 z^3 a^{-9} -6 z^3 a^{-11} -6 z^3 a^{-13} +z^3 a^{-15} -5 z^2 a^{-2} -10 z^2 a^{-4} -2 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-14} -z a^{-1} -2 z a^{-3} -2 z a^{-5} +2 z a^{-7} +3 z a^{-9} +z a^{-11} +z a^{-13} + a^{-2} +4 a^{-4} + a^{-6} - a^{-8} }[/math] |
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