K12n238
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-3 q^2+4 q-4+5 q^{-1} -4 q^{-2} +4 q^{-3} -2 q^{-4} + q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-5 t^2+6 t-5+6 t^{-1} -5 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+7 z^4+4 z^2+1 }[/math] |
| Determinant | 31 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+5 a^2 z^4-z^4 a^{-2} +4 z^4-4 a^4 z^2+8 a^2 z^2-3 z^2 a^{-2} +3 z^2-3 a^4+5 a^2- a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+a^3 z^9+3 a z^9+2 z^9 a^{-1} -6 a^2 z^8+2 z^8 a^{-2} -4 z^8-6 a^3 z^7-17 a z^7-10 z^7 a^{-1} +z^7 a^{-3} +2 a^4 z^6+15 a^2 z^6-10 z^6 a^{-2} +3 z^6+a^5 z^5+15 a^3 z^5+33 a z^5+14 z^5 a^{-1} -5 z^5 a^{-3} +a^6 z^4-7 a^4 z^4-21 a^2 z^4+13 z^4 a^{-2} +a^7 z^3-a^5 z^3-17 a^3 z^3-29 a z^3-8 z^3 a^{-1} +6 z^3 a^{-3} -a^6 z^2+10 a^4 z^2+15 a^2 z^2-5 z^2 a^{-2} -z^2-2 a^7 z+a^5 z+8 a^3 z+8 a z+2 z a^{-1} -z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math] |
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