K12n285
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-4 q^6+5 q^5-7 q^4+7 q^3-6 q^2+5 q-2+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-5 t^2+9 t-9+9 t^{-1} -5 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+z^4-2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -2 z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} -5 z^2 a^{-2} +5 z^2 a^{-4} -3 z^2 a^{-6} +z^2-2 a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-3} +z^9 a^{-5} +z^8 a^{-2} +3 z^8 a^{-4} +2 z^8 a^{-6} -4 z^7 a^{-3} -3 z^7 a^{-5} +z^7 a^{-7} -4 z^6 a^{-2} -11 z^6 a^{-4} -7 z^6 a^{-6} +2 z^5 a^{-1} +10 z^5 a^{-3} +9 z^5 a^{-5} +z^5 a^{-7} +11 z^4 a^{-2} +21 z^4 a^{-4} +14 z^4 a^{-6} +3 z^4 a^{-8} +z^4-3 z^3 a^{-1} -7 z^3 a^{-3} -11 z^3 a^{-5} -7 z^3 a^{-7} -10 z^2 a^{-2} -13 z^2 a^{-4} -12 z^2 a^{-6} -6 z^2 a^{-8} -3 z^2+2 z a^{-3} +6 z a^{-5} +4 z a^{-7} +2 a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} +2 }[/math] |
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