K13n2124
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Polynomial invariants
| Jones polynomial | Data:K13n2124/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+18 t-23+18 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2124/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +4 z^2+a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+3 a z^9+z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-11 a^2 z^8-6 z^8 a^{-2} -18 z^8-15 a^3 z^7-30 a z^7-16 z^7 a^{-1} -z^7 a^{-3} -5 a^4 z^6+3 a^2 z^6+4 z^6 a^{-2} +2 z^6 a^{-4} +10 z^6+23 a^3 z^5+48 a z^5+23 z^5 a^{-1} -2 z^5 a^{-3} +8 a^4 z^4+16 a^2 z^4-z^4 a^{-2} -2 z^4 a^{-4} +9 z^4-13 a^3 z^3-27 a z^3-16 z^3 a^{-1} +z^3 a^{-3} +3 z^3 a^{-5} -5 a^4 z^2-11 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} -9 z^2+3 a^3 z+6 a z+4 z a^{-1} +z a^{-3} +a^4+2 a^2+2 }[/math] |
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