K13a4487
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Polynomial invariants
| Jones polynomial | Data:K13a4487/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -7 t^3+41 t^2-96 t+125-96 t^{-1} +41 t^{-2} -7 t^{-3} }[/math] |
| Conway polynomial | Data:K13a4487/Conway Polynomial |
| Determinant | 413 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -3 z^6 a^{-8} +z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -6 z^4 a^{-8} +4 z^4 a^{-10} +4 z^2 a^{-4} +4 z^2 a^{-6} -8 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} + a^{-4} +3 a^{-6} -5 a^{-8} +3 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-8} +5 z^{12} a^{-10} +16 z^{11} a^{-7} +30 z^{11} a^{-9} +14 z^{11} a^{-11} +23 z^{10} a^{-6} +32 z^{10} a^{-8} +26 z^{10} a^{-10} +17 z^{10} a^{-12} +21 z^9 a^{-5} -13 z^9 a^{-7} -64 z^9 a^{-9} -18 z^9 a^{-11} +12 z^9 a^{-13} +13 z^8 a^{-4} -44 z^8 a^{-6} -115 z^8 a^{-8} -103 z^8 a^{-10} -40 z^8 a^{-12} +5 z^8 a^{-14} +5 z^7 a^{-3} -41 z^7 a^{-5} -26 z^7 a^{-7} +31 z^7 a^{-9} -19 z^7 a^{-11} -29 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -22 z^6 a^{-4} +33 z^6 a^{-6} +143 z^6 a^{-8} +127 z^6 a^{-10} +29 z^6 a^{-12} -11 z^6 a^{-14} -6 z^5 a^{-3} +29 z^5 a^{-5} +44 z^5 a^{-7} +25 z^5 a^{-9} +39 z^5 a^{-11} +21 z^5 a^{-13} -2 z^5 a^{-15} -z^4 a^{-2} +11 z^4 a^{-4} -16 z^4 a^{-6} -83 z^4 a^{-8} -75 z^4 a^{-10} -14 z^4 a^{-12} +6 z^4 a^{-14} -9 z^3 a^{-5} -20 z^3 a^{-7} -26 z^3 a^{-9} -25 z^3 a^{-11} -9 z^3 a^{-13} +z^3 a^{-15} -4 z^2 a^{-4} +10 z^2 a^{-6} +28 z^2 a^{-8} +21 z^2 a^{-10} +6 z^2 a^{-12} -z^2 a^{-14} +4 z a^{-7} +6 z a^{-9} +5 z a^{-11} +3 z a^{-13} + a^{-4} -3 a^{-6} -5 a^{-8} -3 a^{-10} - a^{-12} }[/math] |
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