K13n1461
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Polynomial invariants
| Jones polynomial | Data:K13n1461/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-10 t+13-10 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1461/Conway Polynomial |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +2 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +6 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +z^9 a^{-1} -2 z^9 a^{-3} +3 z^9 a^{-7} -12 z^8 a^{-2} -29 z^8 a^{-4} -16 z^8 a^{-6} +z^8 a^{-8} -5 z^7 a^{-1} -11 z^7 a^{-3} -23 z^7 a^{-5} -17 z^7 a^{-7} +26 z^6 a^{-2} +54 z^6 a^{-4} +24 z^6 a^{-6} -5 z^6 a^{-8} +z^6+7 z^5 a^{-1} +29 z^5 a^{-3} +50 z^5 a^{-5} +28 z^5 a^{-7} -33 z^4 a^{-2} -48 z^4 a^{-4} -14 z^4 a^{-6} +6 z^4 a^{-8} -5 z^4+a z^3-4 z^3 a^{-1} -24 z^3 a^{-3} -34 z^3 a^{-5} -15 z^3 a^{-7} +a^2 z^2+22 z^2 a^{-2} +21 z^2 a^{-4} +5 z^2 a^{-6} -z^2 a^{-8} +8 z^2-a z+5 z a^{-3} +5 z a^{-5} +z a^{-7} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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