K12n254
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{10}-5 q^9+8 q^8-11 q^7+11 q^6-11 q^5+9 q^4-5 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-14 t+17-14 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4+1 }[/math] |
| Determinant | 65 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} +3 z^4 a^{-4} -9 z^4 a^{-6} +2 z^4 a^{-8} +9 z^2 a^{-4} -14 z^2 a^{-6} +5 z^2 a^{-8} +6 a^{-4} -8 a^{-6} +3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-7} +z^9 a^{-9} +4 z^8 a^{-6} +6 z^8 a^{-8} +2 z^8 a^{-10} +3 z^7 a^{-5} +7 z^7 a^{-7} +5 z^7 a^{-9} +z^7 a^{-11} -11 z^6 a^{-6} -11 z^6 a^{-8} -6 z^5 a^{-5} -23 z^5 a^{-7} -14 z^5 a^{-9} +3 z^5 a^{-11} +6 z^4 a^{-4} +21 z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4 a^{-12} +8 z^3 a^{-5} +29 z^3 a^{-7} +15 z^3 a^{-9} -6 z^3 a^{-11} -13 z^2 a^{-4} -22 z^2 a^{-6} -5 z^2 a^{-8} -4 z^2 a^{-12} -7 z a^{-5} -13 z a^{-7} -5 z a^{-9} +z a^{-11} +6 a^{-4} +8 a^{-6} +3 a^{-8} }[/math] |
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