K13n337
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Polynomial invariants
| Jones polynomial | Data:K13n337/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-28 t+39-28 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n337/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^6+z^4 a^4-a^4-z^6 a^2-2 z^4 a^2-2 z^2 a^2-z^6-2 z^4-3 z^2-1+2 z^4 a^{-2} +4 z^2 a^{-2} +3 a^{-2} -z^2 a^{-4} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9+a^3 z^9+4 a z^9+4 z^9 a^{-1} -5 a^4 z^8-12 a^2 z^8+4 z^8 a^{-2} -3 z^8+a^5 z^7-4 a^3 z^7-12 a z^7-3 z^7 a^{-1} +4 z^7 a^{-3} +3 a^6 z^6+8 a^4 z^6+12 a^2 z^6+3 z^6 a^{-4} +4 z^6-11 a^5 z^5-5 a^3 z^5+12 a z^5+z^5 a^{-1} -4 z^5 a^{-3} +z^5 a^{-5} -10 a^6 z^4-17 a^4 z^4-8 a^2 z^4-10 z^4 a^{-2} -6 z^4 a^{-4} -5 z^4+11 a^5 z^3+10 a^3 z^3-3 a z^3-2 z^3 a^{-1} -2 z^3 a^{-3} -2 z^3 a^{-5} +8 a^6 z^2+11 a^4 z^2+3 a^2 z^2+9 z^2 a^{-2} +4 z^2 a^{-4} +5 z^2-4 a^5 z-5 a^3 z+2 z a^{-1} +2 z a^{-3} +z a^{-5} -a^6-a^4-3 a^{-2} - a^{-4} -1 }[/math] |
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