K13n3211
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Polynomial invariants
| Jones polynomial | Data:K13n3211/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-7 t^2+16 t-19+16 t^{-1} -7 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n3211/Conway Polynomial |
| Determinant | 67 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-2 z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +3 z^2+a^4-a^2- a^{-2} + a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +3 a^2 z^{10}+z^{10} a^{-2} +4 z^{10}+3 a^3 z^9+a z^9-2 z^9 a^{-1} +a^4 z^8-12 a^2 z^8-z^8 a^{-2} -14 z^8-15 a^3 z^7-19 a z^7+4 z^7 a^{-3} -5 a^4 z^6+7 a^2 z^6-5 z^6 a^{-2} +z^6 a^{-4} +6 z^6+22 a^3 z^5+26 a z^5-7 z^5 a^{-1} -11 z^5 a^{-3} +8 a^4 z^4+11 a^2 z^4+6 z^4 a^{-2} +z^4 a^{-4} +8 z^4-10 a^3 z^3-7 a z^3+8 z^3 a^{-1} +8 z^3 a^{-3} +3 z^3 a^{-5} -5 a^4 z^2-8 a^2 z^2-5 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -5 z^2+a^3 z-a z-3 z a^{-1} -2 z a^{-3} -z a^{-5} +a^4+a^2+ a^{-2} + a^{-4} +1 }[/math] |
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