K13n3555
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Polynomial invariants
| Jones polynomial | Data:K13n3555/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-4 t^2+3 t-1+3 t^{-1} -4 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3555/Conway Polynomial |
| Determinant | 23 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-6 z^6+4 a^2 z^4+z^4 a^{-4} -11 z^4+4 a^2 z^2-z^2 a^{-2} +2 z^2 a^{-4} -7 z^2+a^2- a^{-2} + a^{-4} }[/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^9-4 z^9 a^{-1} +a^4 z^8-15 a^2 z^8-6 z^8 a^{-2} +z^8 a^{-4} -23 z^8-16 a^3 z^7-17 a z^7-3 z^7 a^{-1} +2 z^7 a^{-5} -5 a^4 z^6+18 a^2 z^6+5 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +34 z^6+24 a^3 z^5+32 a z^5+11 z^5 a^{-1} -6 z^5 a^{-3} -9 z^5 a^{-5} +7 a^4 z^4-6 a^2 z^4+2 z^4 a^{-2} +3 z^4 a^{-4} -4 z^4 a^{-6} -18 z^4-12 a^3 z^3-14 a z^3-3 z^3 a^{-1} +7 z^3 a^{-3} +8 z^3 a^{-5} -3 a^4 z^2+2 a^2 z^2-4 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2 a^{-6} +6 z^2+a^3 z+a z-z a^{-1} -3 z a^{-3} -2 z a^{-5} -a^2+ a^{-2} + a^{-4} }[/math] |
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