K12a1149
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-q^6+2 q^5-3 q^4+3 q^3-4 q^2+4 q-4+4 q^{-1} -3 q^{-2} +3 q^{-3} -2 q^{-4} + q^{-5} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+9 t-9+9 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^4-7 z^2+1 }[/math] |
| Determinant | 35 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-2 z^2 a^2-z^4-2 z^2-z^4 a^{-2} -2 z^2 a^{-2} -z^4 a^{-4} -3 z^2 a^{-4} -2 a^{-4} +z^2 a^{-6} +2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10} a^{-6} +3 z^9 a^{-1} -5 z^9 a^{-3} -8 z^9 a^{-5} -11 z^8 a^{-2} -23 z^8 a^{-4} -9 z^8 a^{-6} +3 z^8+3 a z^7-16 z^7 a^{-1} +3 z^7 a^{-3} +22 z^7 a^{-5} +3 a^2 z^6+16 z^6 a^{-2} +60 z^6 a^{-4} +29 z^6 a^{-6} -12 z^6+3 a^3 z^5-9 a z^5+25 z^5 a^{-1} +12 z^5 a^{-3} -25 z^5 a^{-5} +3 a^4 z^4-6 a^2 z^4-4 z^4 a^{-2} -63 z^4 a^{-4} -40 z^4 a^{-6} +10 z^4+2 a^5 z^3-4 a^3 z^3+4 a z^3-14 z^3 a^{-1} -12 z^3 a^{-3} +12 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-z^2 a^{-2} +24 z^2 a^{-4} +21 z^2 a^{-6} +4 z a^{-1} +z a^{-3} -3 z a^{-5} +a^4-2 a^{-4} -2 a^{-6} }[/math] |
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