K12n154
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+2 q^3-4 q^2+6 q-6+8 q^{-1} -7 q^{-2} +6 q^{-3} -4 q^{-4} +2 q^{-5} - q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-6 t^2+10 t-11+10 t^{-1} -6 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+6 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} +4 z^4-3 a^4 z^2+5 a^2 z^2-3 z^2 a^{-2} +5 z^2-2 a^4+2 a^2-2 a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8-2 a^2 z^8+2 z^8 a^{-2} -z^8-9 a^3 z^7-17 a z^7-7 z^7 a^{-1} +z^7 a^{-3} -2 a^4 z^6-2 a^2 z^6-9 z^6 a^{-2} -9 z^6+3 a^5 z^5+17 a^3 z^5+21 a z^5+2 z^5 a^{-1} -5 z^5 a^{-3} +2 a^6 z^4+2 a^4 z^4+3 a^2 z^4+11 z^4 a^{-2} +14 z^4+a^7 z^3-4 a^5 z^3-14 a^3 z^3-10 a z^3+6 z^3 a^{-1} +7 z^3 a^{-3} -2 a^6 z^2+2 a^4 z^2+2 a^2 z^2-6 z^2 a^{-2} -8 z^2-a^7 z+2 a^5 z+5 a^3 z+a z-4 z a^{-1} -3 z a^{-3} -2 a^4-2 a^2+2 a^{-2} +3 }[/math] |
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