K12n389
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+8 q^7-11 q^6+15 q^5-17 q^4+15 q^3-13 q^2+9 q-4+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+24 t-31+24 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4-3 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -6 z^2 a^{-2} +2 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} +2 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-3} +6 z^9 a^{-5} +4 z^9 a^{-7} +2 z^8 a^{-2} +4 z^8 a^{-4} +8 z^8 a^{-6} +6 z^8 a^{-8} +z^7 a^{-1} +z^7 a^{-3} -8 z^7 a^{-5} -4 z^7 a^{-7} +4 z^7 a^{-9} -z^6 a^{-2} -5 z^6 a^{-4} -20 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +z^5 a^{-1} -4 z^5 a^{-3} -z^5 a^{-5} -6 z^5 a^{-7} -10 z^5 a^{-9} +5 z^4 a^{-2} -2 z^4 a^{-4} +6 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4+10 z^3 a^{-3} +7 z^3 a^{-5} +2 z^3 a^{-7} +5 z^3 a^{-9} -7 z^2 a^{-2} +6 z^2 a^{-4} +6 z^2 a^{-6} +z^2 a^{-10} -6 z^2-2 z a^{-1} -7 z a^{-3} -5 z a^{-5} +3 a^{-2} - a^{-6} +3 }[/math] |
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