K12n331
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-2 q+4-6 q^{-1} +7 q^{-2} -7 q^{-3} +7 q^{-4} -5 q^{-5} +4 q^{-6} -2 q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-9 t+9-9 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-5 z^4+z^2+1 }[/math] |
| Determinant | 45 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8+z^4 a^6+3 z^2 a^6+a^6-z^6 a^4-3 z^4 a^4+2 a^4-z^6 a^2-4 z^4 a^2-5 z^2 a^2-3 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+5 a^3 z^9+2 a z^9+3 a^6 z^8+a^4 z^8-a^2 z^8+z^8+a^7 z^7-12 a^5 z^7-24 a^3 z^7-11 a z^7-11 a^6 z^6-19 a^4 z^6-14 a^2 z^6-6 z^6-a^7 z^5+14 a^5 z^5+34 a^3 z^5+19 a z^5+a^8 z^4+10 a^6 z^4+28 a^4 z^4+31 a^2 z^4+12 z^4-3 a^7 z^3-11 a^5 z^3-20 a^3 z^3-12 a z^3+a^8 z^2-3 a^6 z^2-14 a^4 z^2-19 a^2 z^2-9 z^2+2 a^9 z+3 a^7 z+4 a^5 z+6 a^3 z+3 a z-a^8-a^6+2 a^4+3 a^2+2 }[/math] |
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