K12n488
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+q^5-q^4+q^3+q^2-q+2-2 q^{-1} +2 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2-2 t+5-2 t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+5 z^4+3 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +6 z^4 a^{-2} -z^4 a^{-4} -a^2 z^2+10 z^2 a^{-2} -4 z^2 a^{-4} -2 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} -8 z^8 a^{-2} -8 z^8 a^{-4} -8 z^7 a^{-1} -16 z^7 a^{-3} -8 z^7 a^{-5} +21 z^6 a^{-2} +21 z^6 a^{-4} +a z^5+20 z^5 a^{-1} +40 z^5 a^{-3} +21 z^5 a^{-5} +2 a^2 z^4-25 z^4 a^{-2} -23 z^4 a^{-4} +a^3 z^3-a z^3-18 z^3 a^{-1} -37 z^3 a^{-3} -21 z^3 a^{-5} -3 a^2 z^2+18 z^2 a^{-2} +12 z^2 a^{-4} +3 z^2-a^3 z+6 z a^{-1} +11 z a^{-3} +6 z a^{-5} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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