K13n1561
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Polynomial invariants
| Jones polynomial | Data:K13n1561/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+17 t^2-34 t+45-34 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1561/Conway Polynomial |
| Determinant | 161 |
| 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^2-9 a^2 z^2-4 z^2 a^{-2} +7 z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +5 a^2 z^{10}+2 z^{10} a^{-2} +7 z^{10}+9 a^3 z^9+14 a z^9+6 z^9 a^{-1} +z^9 a^{-3} +8 a^4 z^8+a^2 z^8-7 z^8+4 a^5 z^7-19 a^3 z^7-39 a z^7-12 z^7 a^{-1} +4 z^7 a^{-3} +a^6 z^6-18 a^4 z^6-24 a^2 z^6+4 z^6 a^{-2} +5 z^6 a^{-4} -6 z^6-8 a^5 z^5+13 a^3 z^5+38 a z^5+11 z^5 a^{-1} -5 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+12 a^4 z^4+29 a^2 z^4-7 z^4 a^{-2} -7 z^4 a^{-4} +15 z^4+3 a^5 z^3-8 a^3 z^3-12 a z^3-z^3 a^{-1} -z^3 a^{-3} -z^3 a^{-5} +a^6 z^2-7 a^4 z^2-15 a^2 z^2+z^2 a^{-2} -6 z^2+2 a^3 z-2 z a^{-1} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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