K12n743
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^3+5 q^2-8 q+12-13 q^{-1} +14 q^{-2} -12 q^{-3} +9 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 6 t^2-21 t+31-21 t^{-1} +6 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 6 z^4+3 z^2+1 }[/math] |
| Determinant | 85 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+z^4 a^4-z^2 a^4-2 a^4+3 z^4 a^2+5 z^2 a^2+3 a^2+2 z^4+2 z^2+1-2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+8 a^3 z^9+4 a z^9+3 a^6 z^8-3 a^4 z^8-2 a^2 z^8+4 z^8+a^7 z^7-16 a^5 z^7-29 a^3 z^7-9 a z^7+3 z^7 a^{-1} -12 a^6 z^6-4 a^4 z^6+2 a^2 z^6+z^6 a^{-2} -5 z^6-4 a^7 z^5+21 a^5 z^5+40 a^3 z^5+13 a z^5-2 z^5 a^{-1} +13 a^6 z^4+a^4 z^4-13 a^2 z^4+4 z^4 a^{-2} +3 z^4+4 a^7 z^3-14 a^5 z^3-32 a^3 z^3-13 a z^3+4 z^3 a^{-1} +3 z^3 a^{-3} -3 a^6 z^2+4 a^4 z^2+11 a^2 z^2-4 z^2 a^{-2} +5 a^5 z+9 a^3 z+4 a z-2 z a^{-1} -2 z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math] |
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