K12n394
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-4 q^3+5 q^2-5 q+5-3 q^{-1} + q^{-2} - q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2-6 t+11-6 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4-2 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+2 a^4-z^4 a^2-5 z^2 a^2-4 a^2+z^4+2 z^2+3+z^4 a^{-2} +z^2 a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9+a z^9+a^4 z^8+a^2 z^8+z^8 a^{-2} +z^8-8 a^3 z^7-9 a z^7+2 z^7 a^{-1} +3 z^7 a^{-3} -7 a^4 z^6-10 a^2 z^6+3 z^6 a^{-4} -6 z^6+19 a^3 z^5+25 a z^5-3 z^5 a^{-1} -8 z^5 a^{-3} +z^5 a^{-5} +14 a^4 z^4+26 a^2 z^4-4 z^4 a^{-2} -8 z^4 a^{-4} +16 z^4-16 a^3 z^3-22 a z^3+4 z^3 a^{-3} -2 z^3 a^{-5} -9 a^4 z^2-20 a^2 z^2+2 z^2 a^{-2} +3 z^2 a^{-4} -12 z^2+4 a^3 z+6 a z+2 z a^{-1} +2 a^4+4 a^2+3 }[/math] |
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