K12n277
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+3 q^5-6 q^4+9 q^3-10 q^2+11 q-10+8 q^{-1} -5 q^{-2} +3 q^{-3} - q^{-4} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+15 t-17+15 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+4 z^4+z^2+1 }[/math] |
| Determinant | 67 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+5 z^9 a^{-1} +2 z^9 a^{-3} +3 a^2 z^8+z^8 a^{-2} +2 z^8 a^{-4} +2 z^8+a^3 z^7-11 a z^7-16 z^7 a^{-1} -3 z^7 a^{-3} +z^7 a^{-5} -13 a^2 z^6-6 z^6 a^{-2} -3 z^6 a^{-4} -16 z^6-4 a^3 z^5+11 a z^5+16 z^5 a^{-1} +z^5 a^{-3} +16 a^2 z^4+3 z^4 a^{-4} +3 z^4 a^{-6} +16 z^4+4 a^3 z^3-5 a z^3-11 z^3 a^{-1} +3 z^3 a^{-5} +z^3 a^{-7} -5 a^2 z^2+4 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} -5 z^2+a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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