K13n2767
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Polynomial invariants
| Jones polynomial | Data:K13n2767/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-13 t^2+20 t-19+20 t^{-1} -13 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2767/Conway Polynomial |
| Determinant | 91 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6-3 a^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +7 z^4+a^4 z^2-8 a^2 z^2-z^2 a^{-2} -3 z^2 a^{-4} +6 z^2+2 a^4-3 a^2- a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+2 z^{10} a^{-2} +5 z^{10}+3 a^3 z^9+4 a z^9+2 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-9 a^2 z^8-3 z^8 a^{-2} -13 z^8-14 a^3 z^7-29 a z^7-12 z^7 a^{-1} +3 z^7 a^{-3} -5 a^4 z^6-4 a^2 z^6+5 z^6 a^{-4} -4 z^6+20 a^3 z^5+36 a z^5+5 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +9 a^4 z^4+25 a^2 z^4-5 z^4 a^{-2} -7 z^4 a^{-4} +18 z^4-9 a^3 z^3-10 a z^3+5 z^3 a^{-3} +4 z^3 a^{-5} -7 a^4 z^2-15 a^2 z^2+z^2 a^{-2} +5 z^2 a^{-4} +3 z^2 a^{-6} -9 z^2+a^3 z-a z-z a^{-1} -z a^{-5} +2 a^4+3 a^2- a^{-4} - a^{-6} +2 }[/math] |
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