K12n656
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+4 q-8+13 q^{-1} -15 q^{-2} +17 q^{-3} -16 q^{-4} +12 q^{-5} -8 q^{-6} +4 q^{-7} - q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+23 t-29+23 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^6-z^2 a^6+z^6 a^4+2 z^4 a^4+z^2 a^4-a^4+z^6 a^2+2 z^4 a^2+2 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+a^7 z^9+5 a^5 z^9+4 a^3 z^9+7 a^4 z^8+7 a^2 z^8-7 a^5 z^7+7 a z^7+4 a^8 z^6+5 a^6 z^6-12 a^4 z^6-9 a^2 z^6+4 z^6+a^9 z^5+3 a^7 z^5+8 a^5 z^5-6 a^3 z^5-11 a z^5+z^5 a^{-1} -7 a^8 z^4-8 a^6 z^4+5 a^4 z^4-6 z^4-2 a^9 z^3-7 a^7 z^3-8 a^5 z^3+a^3 z^3+3 a z^3-z^3 a^{-1} +2 a^8 z^2+2 a^6 z^2+a^4 z^2+3 a^2 z^2+2 z^2+a^9 z+3 a^7 z+4 a^5 z+2 a^3 z-a^4-2 a^2 }[/math] |
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