K13n3540
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Polynomial invariants
| Jones polynomial | Data:K13n3540/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+17 t^2-31 t+39-31 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3540/Conway Polynomial |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-3 z^4 a^{-2} +10 z^4+2 a^4 z^2-8 a^2 z^2-3 z^2 a^{-2} +8 z^2+a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^4 z^{10}+6 a^2 z^{10}+5 z^{10}+a^3 z^9+11 a z^9+10 z^9 a^{-1} -11 a^2 z^8+11 z^8 a^{-2} +4 a^5 z^7-2 a^3 z^7-32 a z^7-18 z^7 a^{-1} +8 z^7 a^{-3} +a^6 z^6+6 a^2 z^6-19 z^6 a^{-2} +4 z^6 a^{-4} -16 z^6-10 a^5 z^5+37 a z^5+15 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4-5 a^4 z^4+4 a^2 z^4+12 z^4 a^{-2} -5 z^4 a^{-4} +23 z^4+5 a^5 z^3-4 a^3 z^3-19 a z^3-6 z^3 a^{-1} +3 z^3 a^{-3} -z^3 a^{-5} +2 a^6 z^2+a^4 z^2-8 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -11 z^2+2 a^3 z+3 a z+z a^{-1} +a^4+2 a^2+2 }[/math] |
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