K12n134
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+3 q^9-5 q^8+6 q^7-7 q^6+7 q^5-6 q^4+5 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-6 t^2+7 t-7+7 t^{-1} -6 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6-2 z^4+3 z^2+1 }[/math] |
| Determinant | 43 |
| 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} +5 z^4 a^{-8} +8 z^2 a^{-4} -11 z^2 a^{-6} +7 z^2 a^{-8} -z^2 a^{-10} +4 a^{-4} -5 a^{-6} +3 a^{-8} - a^{-10} }[/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} +2 z^8 a^{-8} +3 z^8 a^{-10} -10 z^7 a^{-5} -22 z^7 a^{-7} -11 z^7 a^{-9} +z^7 a^{-11} -6 z^6 a^{-4} -19 z^6 a^{-6} -26 z^6 a^{-8} -13 z^6 a^{-10} +14 z^5 a^{-5} +22 z^5 a^{-7} +4 z^5 a^{-9} -4 z^5 a^{-11} +13 z^4 a^{-4} +38 z^4 a^{-6} +39 z^4 a^{-8} +14 z^4 a^{-10} -4 z^3 a^{-5} -z^3 a^{-7} +7 z^3 a^{-9} +4 z^3 a^{-11} -12 z^2 a^{-4} -24 z^2 a^{-6} -18 z^2 a^{-8} -6 z^2 a^{-10} -2 z a^{-5} -3 z a^{-7} -3 z a^{-9} -2 z a^{-11} +4 a^{-4} +5 a^{-6} +3 a^{-8} + a^{-10} }[/math] |
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