K12n440
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^4-4 q^3+7 q^2-10 q+14-13 q^{-1} +12 q^{-2} -10 q^{-3} +6 q^{-4} -3 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+1 }[/math] |
| Determinant | 81 |
| 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} +z^2+a^4-3 a^2- a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+3 a^3 z^9+5 a z^9+2 z^9 a^{-1} +4 a^4 z^8+4 a^2 z^8+z^8 a^{-2} +z^8+3 a^5 z^7-4 a^3 z^7-12 a z^7-5 z^7 a^{-1} +a^6 z^6-10 a^4 z^6-15 a^2 z^6+z^6 a^{-2} -3 z^6-9 a^5 z^5-5 a^3 z^5+13 a z^5+13 z^5 a^{-1} +4 z^5 a^{-3} -3 a^6 z^4+5 a^4 z^4+15 a^2 z^4+z^4 a^{-4} +6 z^4+7 a^5 z^3+7 a^3 z^3-4 a z^3-9 z^3 a^{-1} -5 z^3 a^{-3} +2 a^6 z^2-2 a^4 z^2-8 a^2 z^2-z^2 a^{-2} -z^2 a^{-4} -4 z^2-2 a^5 z-4 a^3 z-2 a z+a^4+3 a^2+ a^{-2} +4 }[/math] |
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