K12n295
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q-5+10 q^{-1} -14 q^{-2} +17 q^{-3} -18 q^{-4} +16 q^{-5} -12 q^{-6} +8 q^{-7} -4 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+26 t-35+26 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4-z^2+1 }[/math] |
| Determinant | 107 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-2 z^2 a^6+z^6 a^4+2 z^4 a^4+3 z^2 a^4+a^4-3 z^4 a^2-5 z^2 a^2-2 a^2+2 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-2 z^4 a^{10}+z^2 a^{10}+4 z^7 a^9-10 z^5 a^9+6 z^3 a^9-z a^9+6 z^8 a^8-14 z^6 a^8+7 z^4 a^8-z^2 a^8+4 z^9 a^7-z^7 a^7-16 z^5 a^7+13 z^3 a^7-3 z a^7+z^{10} a^6+11 z^8 a^6-31 z^6 a^6+22 z^4 a^6-4 z^2 a^6+7 z^9 a^5-8 z^7 a^5-7 z^5 a^5+13 z^3 a^5-4 z a^5+z^{10} a^4+8 z^8 a^4-20 z^6 a^4+20 z^4 a^4-7 z^2 a^4+a^4+3 z^9 a^3-2 z^7 a^3+2 z^5 a^3+2 z^3 a^3-2 z a^3+3 z^8 a^2-4 z^6 a^2+10 z^4 a^2-10 z^2 a^2+2 a^2+z^7 a+3 z^5 a-4 z^3 a+3 z^4-5 z^2+2 }[/math] |
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