K13n1219
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Polynomial invariants
| Jones polynomial | Data:K13n1219/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-17 t+21-17 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1219/Conway Polynomial |
| Determinant | 77 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -3 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +z^4-3 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +2 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +4 z^9 a^{-3} +4 z^9 a^{-5} +3 z^9 a^{-7} -11 z^8 a^{-2} -23 z^8 a^{-4} -10 z^8 a^{-6} +z^8 a^{-8} +z^8-15 z^7 a^{-1} -35 z^7 a^{-3} -33 z^7 a^{-5} -13 z^7 a^{-7} +4 z^6 a^{-2} +16 z^6 a^{-4} +3 z^6 a^{-6} -4 z^6 a^{-8} -5 z^6+23 z^5 a^{-1} +54 z^5 a^{-3} +48 z^5 a^{-5} +17 z^5 a^{-7} +12 z^4 a^{-2} +6 z^4 a^{-4} +8 z^4 a^{-6} +6 z^4 a^{-8} +8 z^4-13 z^3 a^{-1} -29 z^3 a^{-3} -24 z^3 a^{-5} -7 z^3 a^{-7} +z^3 a^{-9} -9 z^2 a^{-2} -7 z^2 a^{-4} -5 z^2 a^{-6} -2 z^2 a^{-8} -5 z^2+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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