K12n763
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+4 q^4-10 q^3+17 q^2-22 q+25-24 q^{-1} +21 q^{-2} -14 q^{-3} +8 q^{-4} -3 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+12 t^2-36 t+51-36 t^{-1} +12 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+6 z^4+3 z^2+1 }[/math] |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+4 a^2 z^4+2 z^4 a^{-2} -3 a^4 z^2+6 a^2 z^2-z^2 a^{-4} +z^2-2 a^4+3 a^2- a^{-2} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^2 z^{10}+3 z^{10}+6 a^3 z^9+15 a z^9+9 z^9 a^{-1} +3 a^4 z^8+5 a^2 z^8+12 z^8 a^{-2} +14 z^8-13 a^3 z^7-28 a z^7-6 z^7 a^{-1} +9 z^7 a^{-3} -14 a^2 z^6-19 z^6 a^{-2} +4 z^6 a^{-4} -37 z^6+6 a^5 z^5+21 a^3 z^5+20 a z^5-9 z^5 a^{-1} -13 z^5 a^{-3} +z^5 a^{-5} -9 a^4 z^4+2 a^2 z^4+13 z^4 a^{-2} -4 z^4 a^{-4} +28 z^4-12 a^5 z^3-24 a^3 z^3-12 a z^3+9 z^3 a^{-1} +8 z^3 a^{-3} -z^3 a^{-5} +8 a^4 z^2+6 a^2 z^2-6 z^2 a^{-2} +z^2 a^{-4} -9 z^2+5 a^5 z+9 a^3 z+4 a z-2 z a^{-1} -2 z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math] |
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