K12n163
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+4 q^9-6 q^8+7 q^7-7 q^6+7 q^5-5 q^4+4 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-8 t^2+7 t-5+7 t^{-1} -8 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-3 z^6+2 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +2 z^6 a^{-8} +5 z^4 a^{-4} -12 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} +7 z^2 a^{-4} -11 z^2 a^{-6} +13 z^2 a^{-8} -5 z^2 a^{-10} +3 a^{-4} -4 a^{-6} +5 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} +z^8 a^{-4} -z^8 a^{-6} +2 z^8 a^{-8} +4 z^8 a^{-10} -11 z^7 a^{-5} -24 z^7 a^{-7} -10 z^7 a^{-9} +3 z^7 a^{-11} -6 z^6 a^{-4} -15 z^6 a^{-6} -26 z^6 a^{-8} -16 z^6 a^{-10} +z^6 a^{-12} +18 z^5 a^{-5} +32 z^5 a^{-7} +4 z^5 a^{-9} -10 z^5 a^{-11} +12 z^4 a^{-4} +34 z^4 a^{-6} +43 z^4 a^{-8} +21 z^4 a^{-10} -9 z^3 a^{-5} -14 z^3 a^{-7} +4 z^3 a^{-9} +12 z^3 a^{-11} +3 z^3 a^{-13} -10 z^2 a^{-4} -22 z^2 a^{-6} -25 z^2 a^{-8} -15 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} +2 z a^{-7} -2 z a^{-9} -6 z a^{-11} -2 z a^{-13} +3 a^{-4} +4 a^{-6} +5 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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