K12n550
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q+3-3 q^{-1} +5 q^{-2} -5 q^{-3} +5 q^{-4} -5 q^{-5} +3 q^{-6} -2 q^{-7} + q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-8 t+13-8 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+1 }[/math] |
| Determinant | 33 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-2 z^2 a^6-2 a^6+z^4 a^4+z^2 a^4+z^4 a^2+2 z^2 a^2+2 a^2-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+5 a^5 z^9+3 a^3 z^9+a^8 z^8-2 a^6 z^8+3 a^2 z^8-12 a^7 z^7-28 a^5 z^7-15 a^3 z^7+a z^7-6 a^8 z^6-11 a^6 z^6-20 a^4 z^6-15 a^2 z^6+23 a^7 z^5+48 a^5 z^5+21 a^3 z^5-4 a z^5+11 a^8 z^4+28 a^6 z^4+36 a^4 z^4+19 a^2 z^4-18 a^7 z^3-35 a^5 z^3-15 a^3 z^3+2 a z^3-7 a^8 z^2-18 a^6 z^2-17 a^4 z^2-6 a^2 z^2+5 a^7 z+11 a^5 z+7 a^3 z+a z+a^8+2 a^6-2 a^2 }[/math] |
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