K12n162
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-5 q^5+7 q^4-9 q^3+10 q^2-9 q+8-5 q^{-1} +3 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-14 t+19-14 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^2+1 }[/math] |
| Determinant | 61 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-7 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +5 z^2-a^2-4 a^{-2} +3 a^{-4} - a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} +z^8 a^{-2} +2 z^8 a^{-4} +3 z^8 a^{-6} +2 z^8+a z^7-5 z^7 a^{-1} -18 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} -13 z^6 a^{-2} -20 z^6 a^{-4} -13 z^6 a^{-6} -6 z^6-a z^5+5 z^5 a^{-1} +18 z^5 a^{-3} +8 z^5 a^{-5} -4 z^5 a^{-7} +3 a^2 z^4+22 z^4 a^{-2} +27 z^4 a^{-4} +15 z^4 a^{-6} +13 z^4+a^3 z^3+4 a z^3-z^3 a^{-1} -7 z^3 a^{-3} +z^3 a^{-5} +4 z^3 a^{-7} -3 a^2 z^2-17 z^2 a^{-2} -14 z^2 a^{-4} -5 z^2 a^{-6} -11 z^2-a^3 z-2 a z-z a^{-1} -z a^{-5} -z a^{-7} +a^2+4 a^{-2} +3 a^{-4} + a^{-6} +4 }[/math] |
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