K12n485
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+3 q^5-6 q^4+9 q^3-11 q^2+12 q-10+9 q^{-1} -6 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+16 t-19+16 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+4 z^4+2 z^2+1 }[/math] |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +3 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8+2 z^8 a^{-2} +z^8 a^{-4} +4 z^8+a^3 z^7-8 a z^7-12 z^7 a^{-1} -3 z^7 a^{-3} -12 a^2 z^6-9 z^6 a^{-2} +3 z^6 a^{-4} -24 z^6-4 a^3 z^5-2 a z^5+4 z^5 a^{-3} +6 z^5 a^{-5} +14 a^2 z^4+3 z^4 a^{-2} -5 z^4 a^{-4} +3 z^4 a^{-6} +25 z^4+5 a^3 z^3+11 a z^3+7 z^3 a^{-1} -6 z^3 a^{-3} -6 z^3 a^{-5} +z^3 a^{-7} -6 a^2 z^2+2 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -8 z^2-2 a^3 z-4 a z-2 z a^{-1} +2 z a^{-3} +2 z a^{-5} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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