K13n2769
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Polynomial invariants
| Jones polynomial | Data:K13n2769/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+t^2+2 t-3+2 t^{-1} + t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2769/Conway Polynomial |
| Determinant | 3 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -6 z^4 a^{-2} +z^4-9 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +4 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-1} -z^9 a^{-5} +z^8 a^{-2} -z^8 a^{-4} -z^8 a^{-6} +z^8-7 z^7 a^{-1} +7 z^7 a^{-5} -8 z^6 a^{-2} +6 z^6 a^{-4} +7 z^6 a^{-6} -7 z^6+14 z^5 a^{-1} -2 z^5 a^{-3} -15 z^5 a^{-5} +z^5 a^{-7} +19 z^4 a^{-2} -10 z^4 a^{-4} -13 z^4 a^{-6} +z^4 a^{-8} +15 z^4-7 z^3 a^{-1} +7 z^3 a^{-3} +12 z^3 a^{-5} -2 z^3 a^{-7} -15 z^2 a^{-2} +5 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2 a^{-8} -11 z^2-z a^{-1} -4 z a^{-3} -2 z a^{-5} +z a^{-7} +3 a^{-2} - a^{-6} +3 }[/math] |
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