K12n185
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+5 q^9-7 q^8+8 q^7-9 q^6+8 q^5-6 q^4+5 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+10 t-11+10 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 55 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -6 z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-4} -12 z^4 a^{-6} +4 z^4 a^{-8} +8 z^2 a^{-4} -10 z^2 a^{-6} +4 z^2 a^{-8} +4 a^{-4} -4 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +5 z^9 a^{-7} +3 z^9 a^{-9} +z^8 a^{-4} +3 z^8 a^{-8} +4 z^8 a^{-10} -10 z^7 a^{-5} -20 z^7 a^{-7} -7 z^7 a^{-9} +3 z^7 a^{-11} -6 z^6 a^{-4} -18 z^6 a^{-6} -25 z^6 a^{-8} -12 z^6 a^{-10} +z^6 a^{-12} +14 z^5 a^{-5} +17 z^5 a^{-7} -4 z^5 a^{-9} -7 z^5 a^{-11} +13 z^4 a^{-4} +36 z^4 a^{-6} +31 z^4 a^{-8} +9 z^4 a^{-10} +z^4 a^{-12} -3 z^3 a^{-5} +3 z^3 a^{-7} +8 z^3 a^{-9} +5 z^3 a^{-11} +3 z^3 a^{-13} -12 z^2 a^{-4} -21 z^2 a^{-6} -11 z^2 a^{-8} -4 z^2 a^{-10} -z^2 a^{-12} +z^2 a^{-14} -3 z a^{-5} -4 z a^{-7} -2 z a^{-9} -2 z a^{-11} -z a^{-13} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math] |
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