K12n411
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-3+4 q^{-1} -4 q^{-2} +5 q^{-3} -3 q^{-4} +2 q^{-5} - q^{-7} + q^{-8} - q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 5 t-9+5 t^{-1} }[/math] |
| Conway polynomial | [math]\displaystyle{ 5 z^2+1 }[/math] |
| Determinant | 19 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+4 z^2 a^6+2 a^6+2 z^2 a^4+a^4-z^4 a^2-z^2 a^2+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+2 a^7 z^9+a^5 z^9-8 a^8 z^8-8 a^6 z^8-8 a^9 z^7-17 a^7 z^7-8 a^5 z^7+a^3 z^7+20 a^8 z^6+19 a^6 z^6+2 a^4 z^6+3 a^2 z^6+21 a^9 z^5+44 a^7 z^5+21 a^5 z^5+a^3 z^5+3 a z^5-19 a^8 z^4-15 a^6 z^4-2 a^4 z^4-5 a^2 z^4+z^4-22 a^9 z^3-41 a^7 z^3-17 a^5 z^3-3 a^3 z^3-5 a z^3+7 a^8 z^2+6 a^6 z^2+a^4 z^2+a^2 z^2-z^2+8 a^9 z+12 a^7 z+5 a^5 z+a^3 z-2 a^8-2 a^6+a^4 }[/math] |
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