K12n806
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{12}+4 q^{11}-8 q^{10}+9 q^9-11 q^8+11 q^7-8 q^6+7 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-10 t^2+12 t-11+12 t^{-1} -10 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+14 z^4+8 z^2+1 }[/math] |
| Determinant | 63 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^4 a^{-6} +14 z^4 a^{-8} -3 z^4 a^{-10} +z^2 a^{-6} +18 z^2 a^{-8} -11 z^2 a^{-10} +7 a^{-8} -8 a^{-10} +2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +4 z^9 a^{-9} +5 z^9 a^{-11} +z^9 a^{-13} +6 z^8 a^{-8} +4 z^8 a^{-10} -2 z^8 a^{-12} +3 z^7 a^{-7} -11 z^7 a^{-9} -19 z^7 a^{-11} -5 z^7 a^{-13} +z^6 a^{-6} -23 z^6 a^{-8} -26 z^6 a^{-10} -2 z^6 a^{-12} -8 z^5 a^{-7} +2 z^5 a^{-9} +23 z^5 a^{-11} +13 z^5 a^{-13} -3 z^4 a^{-6} +28 z^4 a^{-8} +40 z^4 a^{-10} +12 z^4 a^{-12} +3 z^4 a^{-14} +2 z^3 a^{-7} +10 z^3 a^{-9} -8 z^3 a^{-13} +z^2 a^{-6} -20 z^2 a^{-8} -25 z^2 a^{-10} -6 z^2 a^{-12} -2 z^2 a^{-14} -8 z a^{-9} -8 z a^{-11} +7 a^{-8} +8 a^{-10} +2 a^{-12} }[/math] |
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