K12n107
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+3 q^9-5 q^8+5 q^7-6 q^6+6 q^5-4 q^4+4 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-6 t^2+6 t-5+6 t^{-1} -6 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6-2 z^4+2 z^2+1 }[/math] |
| Determinant | 39 |
| 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} -11 z^4 a^{-6} +4 z^4 a^{-8} +7 z^2 a^{-4} -7 z^2 a^{-6} +2 z^2 a^{-8} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-5} +4 z^9 a^{-7} +2 z^9 a^{-9} +z^8 a^{-4} -2 z^8 a^{-6} -2 z^8 a^{-8} +z^8 a^{-10} -11 z^7 a^{-5} -20 z^7 a^{-7} -9 z^7 a^{-9} -6 z^6 a^{-4} -10 z^6 a^{-6} -5 z^6 a^{-8} -z^6 a^{-10} +17 z^5 a^{-5} +29 z^5 a^{-7} +17 z^5 a^{-9} +5 z^5 a^{-11} +12 z^4 a^{-4} +25 z^4 a^{-6} +8 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4 a^{-12} -6 z^3 a^{-5} -16 z^3 a^{-7} -23 z^3 a^{-9} -11 z^3 a^{-11} +2 z^3 a^{-13} -10 z^2 a^{-4} -13 z^2 a^{-6} -z^2 a^{-8} -z^2 a^{-10} -2 z^2 a^{-12} +z^2 a^{-14} -z a^{-5} +5 z a^{-7} +11 z a^{-9} +5 z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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