K13n417
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Polynomial invariants
| Jones polynomial | Data:K13n417/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n417/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6-z^4 a^{-2} +2 z^4 a^{-4} -4 z^4+a^4 z^2+4 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -7 z^2+a^4+5 a^{-2} - a^{-6} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a^3 z^9+a z^9-z^9 a^{-1} +3 z^9 a^{-3} +4 z^9 a^{-5} +a^4 z^8-20 z^8 a^{-2} -6 z^8 a^{-4} +3 z^8 a^{-6} -12 z^8-8 a^3 z^7-11 a z^7-10 z^7 a^{-1} -20 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -7 a^4 z^6-6 a^2 z^6+30 z^6 a^{-2} -5 z^6 a^{-4} -11 z^6 a^{-6} +25 z^6+18 a^3 z^5+33 a z^5+30 z^5 a^{-1} +24 z^5 a^{-3} +5 z^5 a^{-5} -4 z^5 a^{-7} +14 a^4 z^4+18 a^2 z^4-26 z^4 a^{-2} +5 z^4 a^{-4} +11 z^4 a^{-6} -16 z^4-16 a^3 z^3-32 a z^3-29 z^3 a^{-1} -16 z^3 a^{-3} +2 z^3 a^{-5} +5 z^3 a^{-7} -9 a^4 z^2-11 a^2 z^2+14 z^2 a^{-2} -4 z^2 a^{-6} +8 z^2+6 a^3 z+13 a z+11 z a^{-1} +5 z a^{-3} -z a^{-5} -2 z a^{-7} +a^4-5 a^{-2} + a^{-6} -4 }[/math] |
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