K12n314
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+4 q^3-6 q^2+8 q-9+9 q^{-1} -8 q^{-2} +6 q^{-3} -3 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+13 t-15+13 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^2+1 }[/math] |
| Determinant | 55 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +3 z^4+a^4 z^2-4 a^2 z^2-z^2 a^{-2} +2 z^2+a^4-a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+8 a z^9+5 z^9 a^{-1} +a^4 z^8-5 a^2 z^8+4 z^8 a^{-2} -2 z^8-15 a^3 z^7-37 a z^7-21 z^7 a^{-1} +z^7 a^{-3} -5 a^4 z^6-9 a^2 z^6-16 z^6 a^{-2} -20 z^6+23 a^3 z^5+47 a z^5+21 z^5 a^{-1} -3 z^5 a^{-3} +9 a^4 z^4+25 a^2 z^4+14 z^4 a^{-2} +30 z^4-12 a^3 z^3-19 a z^3-6 z^3 a^{-1} +z^3 a^{-3} -6 a^4 z^2-13 a^2 z^2-2 z^2 a^{-2} -9 z^2+2 a^3 z+2 a z+a^4+a^2- a^{-2} }[/math] |
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