K12n449
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-3 q^2+5 q-5+6 q^{-1} -5 q^{-2} +4 q^{-3} -3 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+8 t-9+8 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+z^2+1 }[/math] |
| Determinant | 35 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6-2 a^2 z^4-z^4 a^{-2} +5 z^4+a^4 z^2-6 a^2 z^2-3 z^2 a^{-2} +9 z^2+a^4-4 a^2-2 a^{-2} +6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+3 a^3 z^9+7 a z^9+4 z^9 a^{-1} +a^4 z^8-8 a^2 z^8+3 z^8 a^{-2} -6 z^8-17 a^3 z^7-39 a z^7-21 z^7 a^{-1} +z^7 a^{-3} -5 a^4 z^6-16 z^6 a^{-2} -11 z^6+28 a^3 z^5+61 a z^5+28 z^5 a^{-1} -5 z^5 a^{-3} +7 a^4 z^4+20 a^2 z^4+22 z^4 a^{-2} +35 z^4-15 a^3 z^3-30 a z^3-11 z^3 a^{-1} +4 z^3 a^{-3} -4 a^4 z^2-17 a^2 z^2-12 z^2 a^{-2} -z^2 a^{-4} -24 z^2+a^3 z+2 a z-z a^{-3} +a^4+4 a^2+2 a^{-2} +6 }[/math] |
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