K13n3181
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Polynomial invariants
| Jones polynomial | Data:K13n3181/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-14 t+21-14 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3181/Conway Polynomial |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+2 a^2 z^4+z^4 a^{-2} -z^4 a^{-4} -3 z^4-a^4 z^2+4 a^2 z^2+z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} -4 z^2-a^4+3 a^2+ a^{-2} -3 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} +a z^9-10 z^9 a^{-3} -9 z^9 a^{-5} +3 a^2 z^8-10 z^8 a^{-2} -20 z^8 a^{-4} -9 z^8 a^{-6} +4 z^8+4 a^3 z^7+6 a z^7+7 z^7 a^{-1} +32 z^7 a^{-3} +27 z^7 a^{-5} +3 a^4 z^6+a^2 z^6+38 z^6 a^{-2} +63 z^6 a^{-4} +28 z^6 a^{-6} +z^6+a^5 z^5-5 a^3 z^5-10 a z^5-9 z^5 a^{-1} -40 z^5 a^{-3} -35 z^5 a^{-5} -6 a^4 z^4-10 a^2 z^4-46 z^4 a^{-2} -77 z^4 a^{-4} -37 z^4 a^{-6} -10 z^4-2 a^5 z^3-a^3 z^3+a z^3+5 z^3 a^{-1} +27 z^3 a^{-3} +22 z^3 a^{-5} +4 a^4 z^2+8 a^2 z^2+19 z^2 a^{-2} +35 z^2 a^{-4} +19 z^2 a^{-6} +7 z^2+a^5 z+2 a^3 z+2 a z-2 z a^{-1} -10 z a^{-3} -7 z a^{-5} -a^4-3 a^2- a^{-2} -3 a^{-4} -2 a^{-6} -1 }[/math] |
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