K12n399
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+4 q^2-7 q+11-13 q^{-1} +13 q^{-2} -12 q^{-3} +10 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+7 t^2-19 t+27-19 t^{-1} +7 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+z^4+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+4 z^2 a^4+3 a^4-z^6 a^2-3 z^4 a^2-5 z^2 a^2-3 a^2+2 z^4+3 z^2+2-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+6 a^3 z^9+3 a z^9+3 a^6 z^8+6 a^4 z^8+6 a^2 z^8+3 z^8+a^7 z^7-7 a^5 z^7-13 a^3 z^7-4 a z^7+z^7 a^{-1} -12 a^6 z^6-31 a^4 z^6-24 a^2 z^6-5 z^6-4 a^7 z^5-4 a^5 z^5-3 a^3 z^5+3 z^5 a^{-1} +15 a^6 z^4+35 a^4 z^4+25 a^2 z^4+4 z^4 a^{-2} +9 z^4+5 a^7 z^3+12 a^5 z^3+10 a^3 z^3+a z^3-z^3 a^{-1} +z^3 a^{-3} -7 a^6 z^2-16 a^4 z^2-14 a^2 z^2-2 z^2 a^{-2} -7 z^2-2 a^7 z-4 a^5 z-2 a^3 z+a^6+3 a^4+3 a^2+2 }[/math] |
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