K12a1144
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^5+3 q^4-6 q^3+11 q^2-15 q+19-20 q^{-1} +18 q^{-2} -15 q^{-3} +11 q^{-4} -6 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 8 t^2-32 t+49-32 t^{-1} +8 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 8 z^4+1 }[/math] |
| Determinant | 129 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+z^4 a^4-z^2 a^4+3 z^4 a^2+2 z^2 a^2+3 z^4+2 z^2+1+z^4 a^{-2} -z^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+6 a^3 z^9+9 a z^9+7 z^9 a^{-1} +3 a^6 z^8-6 a^4 z^8-21 a^2 z^8+7 z^8 a^{-2} -5 z^8+a^7 z^7-14 a^5 z^7-31 a^3 z^7-42 a z^7-21 z^7 a^{-1} +5 z^7 a^{-3} -12 a^6 z^6-2 a^4 z^6+22 a^2 z^6-19 z^6 a^{-2} +3 z^6 a^{-4} -10 z^6-4 a^7 z^5+15 a^5 z^5+48 a^3 z^5+69 a z^5+29 z^5 a^{-1} -10 z^5 a^{-3} +z^5 a^{-5} +14 a^6 z^4+4 a^4 z^4-8 a^2 z^4+22 z^4 a^{-2} -6 z^4 a^{-4} +30 z^4+4 a^7 z^3-10 a^5 z^3-40 a^3 z^3-46 a z^3-14 z^3 a^{-1} +4 z^3 a^{-3} -2 z^3 a^{-5} -5 a^6 z^2-3 a^4 z^2-2 a^2 z^2-9 z^2 a^{-2} +z^2 a^{-4} -14 z^2+4 a^5 z+12 a^3 z+12 a z+4 z a^{-1} +1 }[/math] |
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