K12n745
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+4 q^4-9 q^3+15 q^2-19 q+21-20 q^{-1} +17 q^{-2} -11 q^{-3} +6 q^{-4} -2 q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+10 t^2-30 t+43-30 t^{-1} +10 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+4 z^4+z^2+1 }[/math] |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6+3 a^2 z^4+2 z^4 a^{-2} -z^4-2 a^4 z^2+4 a^2 z^2+z^2 a^{-2} -z^2 a^{-4} -z^2-a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+9 a z^9+6 z^9 a^{-1} +a^4 z^8+9 z^8 a^{-2} +8 z^8-5 a^3 z^7-14 a z^7-z^7 a^{-1} +8 z^7 a^{-3} +4 a^4 z^6+8 a^2 z^6-11 z^6 a^{-2} +4 z^6 a^{-4} -11 z^6+3 a^5 z^5+12 a^3 z^5+15 a z^5-7 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} -11 a^4 z^4-21 a^2 z^4+2 z^4 a^{-2} -5 z^4 a^{-4} -3 z^4-6 a^5 z^3-17 a^3 z^3-18 a z^3+6 z^3 a^{-3} -z^3 a^{-5} +8 a^4 z^2+12 a^2 z^2+z^2 a^{-2} +2 z^2 a^{-4} +3 z^2+3 a^5 z+7 a^3 z+6 a z+2 z a^{-1} -a^4-2 a^2 }[/math] |
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