K13n2640
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Polynomial invariants
| Jones polynomial | Data:K13n2640/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-6 t^2+10 t-11+10 t^{-1} -6 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2640/Conway Polynomial |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} +4 z^4-3 a^4 z^2+5 a^2 z^2-3 z^2 a^{-2} +5 z^2-2 a^4+2 a^2-2 a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9-2 a^3 z^9+a z^9+4 z^9 a^{-1} -13 a^4 z^8-28 a^2 z^8+3 z^8 a^{-2} -12 z^8-7 a^5 z^7-14 a^3 z^7-27 a z^7-19 z^7 a^{-1} +z^7 a^{-3} +28 a^4 z^6+46 a^2 z^6-15 z^6 a^{-2} +3 z^6+17 a^5 z^5+44 a^3 z^5+51 a z^5+19 z^5 a^{-1} -5 z^5 a^{-3} -24 a^4 z^4-27 a^2 z^4+18 z^4 a^{-2} +15 z^4-17 a^5 z^3-40 a^3 z^3-29 a z^3-z^3 a^{-1} +5 z^3 a^{-3} +8 a^4 z^2+7 a^2 z^2-9 z^2 a^{-2} -z^2 a^{-4} -9 z^2+6 a^5 z+11 a^3 z+5 a z-3 z a^{-1} -3 z a^{-3} -2 a^4-2 a^2+2 a^{-2} +3 }[/math] |
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