K13n1608
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Polynomial invariants
| Jones polynomial | Data:K13n1608/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-36 t+47-36 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1608/Conway Polynomial |
| Determinant | 169 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-6 a^2 z^4-3 z^4 a^{-2} +10 z^4-6 a^2 z^2-3 z^2 a^{-2} +7 z^2+a^6-a^4-a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+7 a^2 z^{10}+5 z^{10}+a^5 z^9+6 a^3 z^9+15 a z^9+10 z^9 a^{-1} -5 a^2 z^8+11 z^8 a^{-2} +6 z^8+3 a^5 z^7-12 a^3 z^7-37 a z^7-14 z^7 a^{-1} +8 z^7 a^{-3} +3 a^6 z^6-3 a^4 z^6-14 a^2 z^6-18 z^6 a^{-2} +4 z^6 a^{-4} -30 z^6-13 a^5 z^5-3 a^3 z^5+30 a z^5+8 z^5 a^{-1} -11 z^5 a^{-3} +z^5 a^{-5} -8 a^6 z^4-8 a^4 z^4+14 a^2 z^4+13 z^4 a^{-2} -5 z^4 a^{-4} +32 z^4+11 a^5 z^3+8 a^3 z^3-10 a z^3-2 z^3 a^{-1} +4 z^3 a^{-3} -z^3 a^{-5} +6 a^6 z^2+8 a^4 z^2-5 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} -12 z^2-3 a^5 z-3 a^3 z+a z+z a^{-1} -a^6-a^4+a^2+2 }[/math] |
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