K13n3156
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Polynomial invariants
| Jones polynomial | Data:K13n3156/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^2-21 t+33-21 t^{-1} +5 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3156/Conway Polynomial |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-3 z^2 a^6-2 a^6+2 z^4 a^4+2 z^2 a^4+a^4+2 z^4 a^2+z^2 a^2+z^4+1-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+3 a^7 z^9+3 a^5 z^9+a^3 z^9+a z^9+a^8 z^8-11 a^6 z^8-17 a^4 z^8-5 a^2 z^8-15 a^7 z^7-29 a^5 z^7-11 a^3 z^7+3 a z^7-5 a^8 z^6+3 a^6 z^6+9 a^4 z^6+9 a^2 z^6+8 z^6+23 a^7 z^5+45 a^5 z^5+9 a^3 z^5-8 a z^5+5 z^5 a^{-1} +8 a^8 z^4+17 a^6 z^4+7 a^4 z^4-18 a^2 z^4+3 z^4 a^{-2} -13 z^4-13 a^7 z^3-22 a^5 z^3-3 a^3 z^3+2 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -5 a^8 z^2-12 a^6 z^2-5 a^4 z^2+8 a^2 z^2-z^2 a^{-2} +5 z^2+3 a^7 z+4 a^5 z-a z+a^8+2 a^6+a^4+1 }[/math] |
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