K12n286
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-4 q^5+6 q^4-7 q^3+7 q^2-7 q+5-3 q^{-1} +2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-11 t+19-11 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4-3 z^2+1 }[/math] |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-2} +z^4 a^{-4} +z^2 a^{-4} -z^2 a^{-6} -3 z^2+2 a^2+ a^{-4} -2 }[/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} +z^8 a^{-4} +3 z^8 a^{-6} +z^8-10 z^7 a^{-1} -24 z^7 a^{-3} -13 z^7 a^{-5} +z^7 a^{-7} -11 z^6 a^{-2} -21 z^6 a^{-4} -14 z^6 a^{-6} -4 z^6+a z^5+19 z^5 a^{-1} +36 z^5 a^{-3} +14 z^5 a^{-5} -4 z^5 a^{-7} +23 z^4 a^{-2} +34 z^4 a^{-4} +17 z^4 a^{-6} +6 z^4-a z^3-17 z^3 a^{-1} -25 z^3 a^{-3} -6 z^3 a^{-5} +3 z^3 a^{-7} +2 a^2 z^2-13 z^2 a^{-2} -17 z^2 a^{-4} -6 z^2 a^{-6} +a z+7 z a^{-1} +8 z a^{-3} +2 z a^{-5} -2 a^2+ a^{-4} -2 }[/math] |
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