K12n196
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-4 q^5+5 q^4-6 q^3+6 q^2-5 q+4-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+6 t^2-7 t+7-7 t^{-1} +6 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-6 z^4-z^2+1 }[/math] |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +z^4-4 z^2 a^{-2} -4 z^2 a^{-4} +4 z^2 a^{-6} +3 z^2- a^{-2} -2 a^{-4} +3 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +2 z^9 a^{-5} -2 z^8 a^{-2} -2 z^8 a^{-4} +z^8 a^{-6} +z^8-11 z^7 a^{-1} -19 z^7 a^{-3} -8 z^7 a^{-5} -9 z^6 a^{-2} -4 z^6 a^{-4} -z^6 a^{-6} -6 z^6+18 z^5 a^{-1} +24 z^5 a^{-3} +8 z^5 a^{-5} +2 z^5 a^{-7} +22 z^4 a^{-2} +2 z^4 a^{-4} -8 z^4 a^{-6} +12 z^4-9 z^3 a^{-1} -9 z^3 a^{-3} -5 z^3 a^{-5} -5 z^3 a^{-7} -12 z^2 a^{-2} +5 z^2 a^{-4} +10 z^2 a^{-6} +2 z^2 a^{-8} -9 z^2+z a^{-1} +z a^{-3} +z a^{-5} +2 z a^{-7} +z a^{-9} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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