K12n171
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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{ -2 t^2+10 t-15+10 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4+2 z^2+1 }[/math] |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +4 z^9 a^{-9} +2 z^9 a^{-11} +2 z^8 a^{-6} -2 z^8 a^{-8} -3 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-5} -8 z^7 a^{-7} -21 z^7 a^{-9} -12 z^7 a^{-11} -7 z^6 a^{-6} -5 z^6 a^{-8} -4 z^6 a^{-10} -6 z^6 a^{-12} -z^5 a^{-5} +11 z^5 a^{-7} +35 z^5 a^{-9} +23 z^5 a^{-11} +4 z^4 a^{-4} +9 z^4 a^{-6} +8 z^4 a^{-8} +14 z^4 a^{-10} +11 z^4 a^{-12} +2 z^3 a^{-3} -12 z^3 a^{-7} -27 z^3 a^{-9} -17 z^3 a^{-11} +z^2 a^{-2} -6 z^2 a^{-4} -8 z^2 a^{-6} -z^2 a^{-8} -6 z^2 a^{-10} -6 z^2 a^{-12} -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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