K12n544
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+5 q^7-10 q^6+15 q^5-19 q^4+20 q^3-19 q^2+15 q-9+5 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+28 t-35+28 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-2 z^2+1 }[/math] |
| Determinant | 119 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -z^4-z^2 a^{-2} -z^2 a^{-4} - a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +6 z^9 a^{-3} +5 z^9 a^{-5} +3 z^8 a^{-2} +13 z^8 a^{-4} +10 z^8 a^{-6} +3 z^7 a^{-1} +7 z^7 a^{-5} +10 z^7 a^{-7} +z^6 a^{-2} -20 z^6 a^{-4} -11 z^6 a^{-6} +5 z^6 a^{-8} +5 z^6+a z^5-4 z^5 a^{-1} -16 z^5 a^{-3} -27 z^5 a^{-5} -15 z^5 a^{-7} +z^5 a^{-9} -8 z^4 a^{-2} -z^4 a^{-4} -5 z^4 a^{-6} -5 z^4 a^{-8} -7 z^4-a z^3+2 z^3 a^{-1} +17 z^3 a^{-3} +18 z^3 a^{-5} +4 z^3 a^{-7} +3 z^2 a^{-2} +9 z^2 a^{-4} +6 z^2 a^{-6} -2 z a^{-1} -6 z a^{-3} -4 z a^{-5} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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