K13n4176
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Polynomial invariants
| Jones polynomial | Data:K13n4176/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+39 t-47+39 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4176/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -4 z^6 a^{-4} +2 z^6 a^{-6} +2 z^4 a^{-2} -6 z^4 a^{-4} +6 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -4 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +2 a^{-2} -2 a^{-4} +2 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^9 a^{-3} +9 z^9 a^{-5} +12 z^9 a^{-7} +7 z^9 a^{-9} +z^8 a^{-2} -3 z^8 a^{-4} -14 z^8 a^{-6} -6 z^8 a^{-8} +4 z^8 a^{-10} +2 z^7 a^{-3} -16 z^7 a^{-5} -37 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} +9 z^6 a^{-2} +6 z^6 a^{-4} -8 z^6 a^{-6} -17 z^6 a^{-8} -12 z^6 a^{-10} +5 z^5 a^{-1} -2 z^5 a^{-3} -4 z^5 a^{-5} +17 z^5 a^{-7} +11 z^5 a^{-9} -3 z^5 a^{-11} -6 z^4 a^{-2} -13 z^4 a^{-4} +18 z^4 a^{-8} +12 z^4 a^{-10} +z^4-z^3 a^{-1} +2 z^3 a^{-3} +7 z^3 a^{-5} +2 z^3 a^{-7} +z^3 a^{-9} +3 z^3 a^{-11} +3 z^2 a^{-2} +8 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2 a^{-10} -z a^{-5} -z a^{-7} -z a^{-9} -z a^{-11} -2 a^{-2} -2 a^{-4} -2 a^{-6} - a^{-8} }[/math] |
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