K12n281
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-3 q^5+6 q^4-9 q^3+12 q^2-13 q+12-10 q^{-1} +7 q^{-2} -3 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-18 t+27-18 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^2+1 }[/math] |
| Determinant | 77 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +z^4 a^{-4} +3 z^4-3 a^2 z^2-8 z^2 a^{-2} +2 z^2 a^{-4} +6 z^2+a^4-2 a^2-4 a^{-2} +2 a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+2 a z^9+6 z^9 a^{-1} +4 z^9 a^{-3} +a^2 z^8+6 z^8 a^{-2} +5 z^8 a^{-4} +2 z^8-6 a z^7-20 z^7 a^{-1} -11 z^7 a^{-3} +3 z^7 a^{-5} -a^2 z^6-31 z^6 a^{-2} -17 z^6 a^{-4} +z^6 a^{-6} -14 z^6+3 a^3 z^5+14 a z^5+27 z^5 a^{-1} +7 z^5 a^{-3} -9 z^5 a^{-5} +a^4 z^4+6 a^2 z^4+45 z^4 a^{-2} +17 z^4 a^{-4} -3 z^4 a^{-6} +30 z^4-4 a^3 z^3-10 a z^3-12 z^3 a^{-1} -z^3 a^{-3} +5 z^3 a^{-5} -2 a^4 z^2-8 a^2 z^2-24 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -20 z^2+a^3 z+a z+z a^{-1} -z a^{-5} +a^4+2 a^2+4 a^{-2} +2 a^{-4} +4 }[/math] |
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