K13n3340
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Polynomial invariants
| Jones polynomial | Data:K13n3340/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+15 t^2-35 t+47-35 t^{-1} +15 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3340/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^6+z^2 a^6-z^6 a^4-z^4 a^4+z^2 a^4+2 a^4-2 z^6 a^2-6 z^4 a^2-8 z^2 a^2-4 a^2+3 z^4+5 z^2+3-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^5 z^{11}+3 a^3 z^{11}+6 a^6 z^{10}+15 a^4 z^{10}+9 a^2 z^{10}+4 a^7 z^9+a^5 z^9+9 a^3 z^9+12 a z^9+a^8 z^8-23 a^6 z^8-52 a^4 z^8-20 a^2 z^8+8 z^8-17 a^7 z^7-38 a^5 z^7-61 a^3 z^7-38 a z^7+2 z^7 a^{-1} -4 a^8 z^6+24 a^6 z^6+42 a^4 z^6-7 a^2 z^6-21 z^6+23 a^7 z^5+54 a^5 z^5+71 a^3 z^5+43 a z^5+3 z^5 a^{-1} +5 a^8 z^4-6 a^6 z^4-a^4 z^4+33 a^2 z^4+5 z^4 a^{-2} +28 z^4-11 a^7 z^3-22 a^5 z^3-28 a^3 z^3-21 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -2 a^8 z^2-a^6 z^2-8 a^4 z^2-22 a^2 z^2-3 z^2 a^{-2} -16 z^2+a^7 z+2 a^5 z+4 a^3 z+4 a z+z a^{-1} +2 a^4+4 a^2+3 }[/math] |
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