K12n293
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+2 q^9-2 q^8+q^7-q^6+q^4+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t-3+2 t^{-1} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^2+1 }[/math] |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} -z^4 a^{-8} +4 z^2 a^{-4} -3 z^2 a^{-8} +z^2 a^{-10} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -6 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} -7 z^7 a^{-7} -20 z^7 a^{-9} -13 z^7 a^{-11} +9 z^6 a^{-8} +3 z^6 a^{-10} -6 z^6 a^{-12} +14 z^5 a^{-7} +39 z^5 a^{-9} +25 z^5 a^{-11} +z^4 a^{-4} -z^4 a^{-6} -5 z^4 a^{-8} +7 z^4 a^{-10} +10 z^4 a^{-12} -11 z^3 a^{-7} -28 z^3 a^{-9} -17 z^3 a^{-11} -4 z^2 a^{-4} -z^2 a^{-6} +4 z^2 a^{-8} -4 z^2 a^{-10} -5 z^2 a^{-12} -2 z a^{-5} +2 z a^{-7} +8 z a^{-9} +4 z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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