K12n170
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-6 q^3+9 q^2-12 q+14-12 q^{-1} +11 q^{-2} -7 q^{-3} +4 q^{-4} -2 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 6 t^2-20 t+29-20 t^{-1} +6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 6 z^4+4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^2 a^4-2 a^4+2 z^4 a^2+3 z^2 a^2+2 a^2+3 z^4+5 z^2+3+z^4 a^{-2} -z^2 a^{-2} -2 a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+5 a z^9+3 z^9 a^{-1} +a^4 z^8+5 z^8 a^{-2} +4 z^8-7 a^3 z^7-15 a z^7-3 z^7 a^{-1} +5 z^7 a^{-3} -2 a^2 z^6-12 z^6 a^{-2} +3 z^6 a^{-4} -17 z^6+3 a^5 z^5+18 a^3 z^5+24 a z^5-4 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} -5 a^4 z^4+4 a^2 z^4+13 z^4 a^{-2} -6 z^4 a^{-4} +28 z^4-9 a^5 z^3-26 a^3 z^3-17 a z^3+11 z^3 a^{-1} +9 z^3 a^{-3} -2 z^3 a^{-5} +4 a^4 z^2-3 a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} -15 z^2+6 a^5 z+11 a^3 z+5 a z-3 z a^{-1} -3 z a^{-3} -2 a^4-2 a^2+2 a^{-2} +3 }[/math] |
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