K12n885
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^6-5 q^5+11 q^4-17 q^3+23 q^2-25 q+24-20 q^{-1} +14 q^{-2} -7 q^{-3} +2 q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-35 t+49-35 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+z^4-z^2+1 }[/math] |
| Determinant | 149 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -2 a^2 z^2-z^2 a^{-2} +2 z^2+a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-2} +3 z^{10}+7 a z^9+16 z^9 a^{-1} +9 z^9 a^{-3} +5 a^2 z^8+15 z^8 a^{-2} +10 z^8 a^{-4} +10 z^8+a^3 z^7-11 a z^7-29 z^7 a^{-1} -12 z^7 a^{-3} +5 z^7 a^{-5} -4 a^2 z^6-48 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} -29 z^6+7 a^3 z^5+18 a z^5+13 z^5 a^{-1} -7 z^5 a^{-3} -9 z^5 a^{-5} +3 a^4 z^4+10 a^2 z^4+34 z^4 a^{-2} +12 z^4 a^{-4} -z^4 a^{-6} +28 z^4-7 a^3 z^3-14 a z^3-3 z^3 a^{-1} +7 z^3 a^{-3} +3 z^3 a^{-5} -3 a^4 z^2-10 a^2 z^2-7 z^2 a^{-2} -z^2 a^{-4} -13 z^2+2 a^3 z+3 a z+z a^{-1} +a^4+2 a^2+2 }[/math] |
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