K12a550
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+4 q^4-8 q^3+14 q^2-19 q+22-23 q^{-1} +21 q^{-2} -16 q^{-3} +11 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-35 t+49-35 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+z^4-z^2+1 }[/math] |
| Determinant | 149 |
| 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^2-2 z^4 a^2-4 z^2 a^2-2 a^2-z^6-z^4-z^2+2 z^4 a^{-2} +2 z^2 a^{-2} + a^{-2} -z^2 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+4 a^5 z^9+7 a^3 z^9+10 a z^9+7 z^9 a^{-1} +3 a^6 z^8-4 a^4 z^8-15 a^2 z^8+8 z^8 a^{-2} +a^7 z^7-13 a^5 z^7-30 a^3 z^7-31 a z^7-8 z^7 a^{-1} +7 z^7 a^{-3} -12 a^6 z^6-11 a^4 z^6+8 a^2 z^6-9 z^6 a^{-2} +4 z^6 a^{-4} -6 z^6-4 a^7 z^5+10 a^5 z^5+38 a^3 z^5+38 a z^5+3 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +14 a^6 z^4+21 a^4 z^4+5 a^2 z^4-2 z^4 a^{-2} -6 z^4 a^{-4} +2 z^4+4 a^7 z^3-a^5 z^3-21 a^3 z^3-21 a z^3-z^3 a^{-1} +3 z^3 a^{-3} -z^3 a^{-5} -6 a^6 z^2-13 a^4 z^2-8 a^2 z^2+5 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2-a^7 z+4 a^3 z+3 a z+a^6+3 a^4+2 a^2- a^{-2} }[/math] |
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