K12n266
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+4 q^6-8 q^5+13 q^4-16 q^3+17 q^2-17 q+14-9 q^{-1} +5 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-24 t+33-24 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4-2 z^2+1 }[/math] |
| Determinant | 105 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -8 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4-a^2 z^2-13 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +6 z^2-7 a^{-2} +5 a^{-4} - a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +7 z^9 a^{-1} +12 z^9 a^{-3} +5 z^9 a^{-5} +11 z^8 a^{-2} +8 z^8 a^{-4} +4 z^8 a^{-6} +7 z^8+2 a z^7-19 z^7 a^{-1} -35 z^7 a^{-3} -13 z^7 a^{-5} +z^7 a^{-7} -55 z^6 a^{-2} -48 z^6 a^{-4} -14 z^6 a^{-6} -21 z^6+2 a z^5+21 z^5 a^{-1} +24 z^5 a^{-3} +2 z^5 a^{-5} -3 z^5 a^{-7} +5 a^2 z^4+72 z^4 a^{-2} +58 z^4 a^{-4} +15 z^4 a^{-6} +34 z^4+a^3 z^3-a z^3-12 z^3 a^{-1} -6 z^3 a^{-3} +7 z^3 a^{-5} +3 z^3 a^{-7} -3 a^2 z^2-40 z^2 a^{-2} -28 z^2 a^{-4} -6 z^2 a^{-6} -21 z^2+a z+4 z a^{-1} +2 z a^{-3} -2 z a^{-5} -z a^{-7} +7 a^{-2} +5 a^{-4} + a^{-6} +4 }[/math] |
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