K13n2255
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Polynomial invariants
| Jones polynomial | Data:K13n2255/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-3 t^2+2 t+1+2 t^{-1} -3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2255/Conway Polynomial |
| Determinant | 11 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-a^2 z^4-z^4 a^{-2} +5 z^4-3 a^2 z^2-4 z^2 a^{-2} -z^2 a^{-4} +7 z^2-a^2-2 a^{-2} - a^{-4} + a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^9-z^9 a^{-3} +2 a^2 z^8-z^8 a^{-2} -z^8 a^{-4} +2 z^8+a^3 z^7-4 a z^7+z^7 a^{-1} +7 z^7 a^{-3} +z^7 a^{-5} -11 a^2 z^6+6 z^6 a^{-2} +7 z^6 a^{-4} +z^6 a^{-6} -11 z^6-5 a^3 z^5+a z^5-5 z^5 a^{-1} -17 z^5 a^{-3} -6 z^5 a^{-5} +17 a^2 z^4-10 z^4 a^{-2} -16 z^4 a^{-4} -5 z^4 a^{-6} +18 z^4+6 a^3 z^3+5 a z^3+6 z^3 a^{-1} +17 z^3 a^{-3} +10 z^3 a^{-5} -8 a^2 z^2+z^2 a^{-2} +12 z^2 a^{-4} +6 z^2 a^{-6} -13 z^2-a^3 z-2 a z-4 z a^{-1} -7 z a^{-3} -4 z a^{-5} +a^2+2 a^{-2} - a^{-4} - a^{-6} +4 }[/math] |
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