K12n676
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+2 q^4-3 q^3+3 q^2-3 q+3+2 q^{-3} -2 q^{-4} + q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-2 t^2-4 t+9-4 t^{-1} -2 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+10 z^4+6 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+5 a^2 z^4+6 z^4-4 a^4 z^2+6 a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} +8 z^2-3 a^4+3 a^2-3 a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+3 a^3 z^9+2 a z^9-7 a^4 z^8-6 a^2 z^8+z^8 a^{-2} +2 z^8-8 a^5 z^7-23 a^3 z^7-15 a z^7+2 z^7 a^{-1} +2 z^7 a^{-3} +15 a^4 z^6+6 a^2 z^6-4 z^6 a^{-2} +2 z^6 a^{-4} -15 z^6+22 a^5 z^5+56 a^3 z^5+31 a z^5-11 z^5 a^{-1} -7 z^5 a^{-3} +z^5 a^{-5} -12 a^4 z^4+6 a^2 z^4+6 z^4 a^{-2} -6 z^4 a^{-4} +30 z^4-25 a^5 z^3-54 a^3 z^3-22 a z^3+16 z^3 a^{-1} +6 z^3 a^{-3} -3 z^3 a^{-5} +5 a^4 z^2-4 a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} -18 z^2+10 a^5 z+18 a^3 z+7 a z-5 z a^{-1} -3 z a^{-3} +z a^{-5} -3 a^4-3 a^2+3 a^{-2} +4 }[/math] |
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