K12n588
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-4 q^3+8 q^2-11 q+14-14 q^{-1} +13 q^{-2} -10 q^{-3} +6 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-19 t+25-19 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4-z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-3 a^2 z^4+z^4 a^{-2} -2 z^4+2 a^4 z^2-4 a^2 z^2+z^2 a^{-2} +a^4-2 a^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+5 a^3 z^9+8 a z^9+3 z^9 a^{-1} +5 a^4 z^8+z^8 a^{-2} -4 z^8+3 a^5 z^7-16 a^3 z^7-29 a z^7-10 z^7 a^{-1} +a^6 z^6-16 a^4 z^6-15 a^2 z^6+2 z^6 a^{-2} +4 z^6-9 a^5 z^5+16 a^3 z^5+43 a z^5+22 z^5 a^{-1} +4 z^5 a^{-3} -3 a^6 z^4+14 a^4 z^4+25 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} +5 z^4+5 a^5 z^3-6 a^3 z^3-23 a z^3-17 z^3 a^{-1} -5 z^3 a^{-3} +a^6 z^2-6 a^4 z^2-13 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -6 z^2-a^5 z+3 a z+3 z a^{-1} +z a^{-3} +a^4+2 a^2+2 }[/math] |
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