K12n665
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^2-2 q+2-3 q^{-2} +6 q^{-3} -7 q^{-4} +9 q^{-5} -8 q^{-6} +6 q^{-7} -4 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+10 t-15+10 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4+2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-4 z^2 a^6-3 a^6+z^6 a^4+5 z^4 a^4+11 z^2 a^4+7 a^4-z^6 a^2-6 z^4 a^2-9 z^2 a^2-5 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-2 z^4 a^{10}+4 z^7 a^9-12 z^5 a^9+6 z^3 a^9+z a^9+5 z^8 a^8-16 z^6 a^8+11 z^4 a^8-4 z^2 a^8+2 z^9 a^7-z^7 a^7-13 z^5 a^7+9 z^3 a^7+7 z^8 a^6-29 z^6 a^6+38 z^4 a^6-21 z^2 a^6+3 a^6+3 z^9 a^5-16 z^7 a^5+26 z^5 a^5-13 z^3 a^5+2 z a^5+z^{10} a^4-4 z^8 a^4-9 z^6 a^4+41 z^4 a^4-32 z^2 a^4+7 a^4+3 z^9 a^3-24 z^7 a^3+50 z^5 a^3-31 z^3 a^3+6 z a^3+z^{10} a^2-5 z^8 a^2-3 z^6 a^2+26 z^4 a^2-22 z^2 a^2+5 a^2+2 z^9 a-13 z^7 a+23 z^5 a-15 z^3 a+3 z a+z^8-6 z^6+10 z^4-7 z^2+2 }[/math] |
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