K13n3977
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Polynomial invariants
| Jones polynomial | Data:K13n3977/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-19 t^2+40 t-51+40 t^{-1} -19 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3977/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -5 z^6 a^{-4} +2 z^6 a^{-6} +3 z^4 a^{-2} -11 z^4 a^{-4} +6 z^4 a^{-6} -z^4 a^{-8} +5 z^2 a^{-2} -9 z^2 a^{-4} +7 z^2 a^{-6} -z^2 a^{-8} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{11} a^{-5} +4 z^{11} a^{-7} +8 z^{10} a^{-4} +19 z^{10} a^{-6} +11 z^{10} a^{-8} +5 z^9 a^{-3} +z^9 a^{-5} +7 z^9 a^{-7} +11 z^9 a^{-9} +z^8 a^{-2} -26 z^8 a^{-4} -64 z^8 a^{-6} -32 z^8 a^{-8} +5 z^8 a^{-10} -11 z^7 a^{-3} -30 z^7 a^{-5} -55 z^7 a^{-7} -35 z^7 a^{-9} +z^7 a^{-11} +5 z^6 a^{-2} +46 z^6 a^{-4} +77 z^6 a^{-6} +23 z^6 a^{-8} -13 z^6 a^{-10} +4 z^5 a^{-1} +21 z^5 a^{-3} +50 z^5 a^{-5} +64 z^5 a^{-7} +29 z^5 a^{-9} -2 z^5 a^{-11} -6 z^4 a^{-2} -37 z^4 a^{-4} -45 z^4 a^{-6} -9 z^4 a^{-8} +6 z^4 a^{-10} +z^4-4 z^3 a^{-1} -13 z^3 a^{-3} -27 z^3 a^{-5} -26 z^3 a^{-7} -8 z^3 a^{-9} +6 z^2 a^{-2} +15 z^2 a^{-4} +12 z^2 a^{-6} +4 z^2 a^{-8} -z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} +3 z a^{-7} +2 z a^{-9} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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