K12n607
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-5+8 q^{-1} -9 q^{-2} +10 q^{-3} -9 q^{-4} +7 q^{-5} -4 q^{-6} +2 q^{-7} - q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+13 t-15+13 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+5 z^4+3 z^2+1 }[/math] |
| Determinant | 59 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^6-3 z^2 a^6-2 a^6+z^6 a^4+4 z^4 a^4+6 z^2 a^4+3 a^4+z^6 a^2+3 z^4 a^2+2 z^2 a^2-z^4-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+4 a^3 z^9+a z^9+4 a^6 z^8-4 a^2 z^8+3 a^7 z^7-11 a^5 z^7-18 a^3 z^7-4 a z^7+2 a^8 z^6-15 a^6 z^6-10 a^4 z^6+10 a^2 z^6+3 z^6+a^9 z^5-8 a^7 z^5+16 a^5 z^5+36 a^3 z^5+12 a z^5+z^5 a^{-1} -5 a^8 z^4+22 a^6 z^4+26 a^4 z^4-9 a^2 z^4-8 z^4-3 a^9 z^3+5 a^7 z^3-4 a^5 z^3-27 a^3 z^3-18 a z^3-3 z^3 a^{-1} +a^8 z^2-11 a^6 z^2-16 a^4 z^2+4 z^2+a^9 z-a^7 z+6 a^3 z+6 a z+2 z a^{-1} +2 a^6+3 a^4 }[/math] |
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