K12n443
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+2 q^2-4 q+6-5 q^{-1} +6 q^{-2} -4 q^{-3} +3 q^{-4} -2 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-8 t+11-8 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4+4 z^2+1 }[/math] |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^4-3 a^4+2 z^4 a^2+6 z^2 a^2+5 a^2+z^4+z^2-z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^9+a z^9+a^4 z^8+3 a^2 z^8+2 z^8-4 a^3 z^7-3 a z^7+z^7 a^{-1} -2 a^4 z^6-11 a^2 z^6-9 z^6+3 a^5 z^5+10 a^3 z^5+4 a z^5-3 z^5 a^{-1} -2 a^4 z^4+12 a^2 z^4+2 z^4 a^{-2} +16 z^4-10 a^5 z^3-18 a^3 z^3-3 a z^3+6 z^3 a^{-1} +z^3 a^{-3} +3 a^4 z^2-3 z^2 a^{-2} -6 z^2+6 a^5 z+10 a^3 z+4 a z-2 z a^{-1} -2 z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math] |
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