K12n788
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^6-5 q^5+9 q^4-14 q^3+17 q^2-18 q+17-13 q^{-1} +9 q^{-2} -4 q^{-3} + q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-25 t+35-25 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4-3 z^2+1 }[/math] |
| Determinant | 109 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -2 z^4+a^2 z^2-2 z^2 a^{-2} -2 z^2+a^2- a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +5 z^9 a^{-1} +6 z^9 a^{-3} +z^9 a^{-5} +12 z^8 a^{-2} +2 z^8 a^{-4} +10 z^8+12 a z^7+4 z^7 a^{-1} -7 z^7 a^{-3} +z^7 a^{-5} +9 a^2 z^6-29 z^6 a^{-2} -7 z^6 a^{-4} +3 z^6 a^{-6} -10 z^6+4 a^3 z^5-16 a z^5-23 z^5 a^{-1} -13 z^5 a^{-3} -10 z^5 a^{-5} +a^4 z^4-9 a^2 z^4+13 z^4 a^{-2} -2 z^4 a^{-4} -9 z^4 a^{-6} -4 z^4-a^3 z^3+7 a z^3+14 z^3 a^{-1} +18 z^3 a^{-3} +12 z^3 a^{-5} +4 a^2 z^2+7 z^2 a^{-4} +7 z^2 a^{-6} +4 z^2-a z-3 z a^{-1} -6 z a^{-3} -4 z a^{-5} -a^2- a^{-4} - a^{-6} }[/math] |
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