K13n392
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Polynomial invariants
| Jones polynomial | Data:K13n392/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+18 t^2-32 t+39-32 t^{-1} +18 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n392/Conway Polynomial |
| Determinant | 153 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +5 z^6+a^4 z^4-7 a^2 z^4-2 z^4 a^{-2} +10 z^4+2 a^4 z^2-8 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} +8 z^2+a^4-3 a^2+3 a^{-2} -2 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +4 a^2 z^{10}+3 z^{10} a^{-2} +7 z^{10}+7 a^3 z^9+12 a z^9+8 z^9 a^{-1} +3 z^9 a^{-3} +7 a^4 z^8+3 a^2 z^8-4 z^8 a^{-2} +z^8 a^{-4} -9 z^8+4 a^5 z^7-11 a^3 z^7-37 a z^7-29 z^7 a^{-1} -7 z^7 a^{-3} +a^6 z^6-15 a^4 z^6-26 a^2 z^6+z^6 a^{-2} +2 z^6 a^{-4} -11 z^6-9 a^5 z^5-a^3 z^5+41 a z^5+44 z^5 a^{-1} +14 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+7 a^4 z^4+30 a^2 z^4+6 z^4 a^{-2} -8 z^4 a^{-4} +35 z^4+5 a^5 z^3+2 a^3 z^3-17 a z^3-25 z^3 a^{-1} -19 z^3 a^{-3} -8 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-16 a^2 z^2-2 z^2 a^{-2} +4 z^2 a^{-4} -18 z^2-a^5 z-a^3 z+3 a z+7 z a^{-1} +8 z a^{-3} +4 z a^{-5} +a^4+3 a^2-3 a^{-2} -2 a^{-4} +2 }[/math] |
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