K13n1331
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Polynomial invariants
| Jones polynomial | Data:K13n1331/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+6 t-5+6 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | Data:K13n1331/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -z^4 a^{-4} -z^4+a^2 z^2-2 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} -3 z^2+2 a^2-2 a^{-4} +2 a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} -8 z^9 a^{-3} -9 z^9 a^{-5} -6 z^8 a^{-2} -16 z^8 a^{-4} -9 z^8 a^{-6} +z^8+a z^7-5 z^7 a^{-1} +24 z^7 a^{-3} +30 z^7 a^{-5} +a^2 z^6+11 z^6 a^{-2} +45 z^6 a^{-4} +29 z^6 a^{-6} -4 z^6-4 a z^5+7 z^5 a^{-1} -35 z^5 a^{-3} -46 z^5 a^{-5} -5 a^2 z^4-6 z^4 a^{-2} -52 z^4 a^{-4} -39 z^4 a^{-6} +2 z^4+2 a z^3-4 z^3 a^{-1} +28 z^3 a^{-3} +35 z^3 a^{-5} +z^3 a^{-7} +6 a^2 z^2+24 z^2 a^{-4} +20 z^2 a^{-6} +2 z^2+a z+z a^{-1} -9 z a^{-3} -11 z a^{-5} -2 z a^{-7} -2 a^2-2 a^{-4} -2 a^{-6} -1 }[/math] |
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