K13n2962

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Polynomial invariants

Jones polynomial Data:K13n2962/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 6 t^3-17 t^2+26 t-29+26 t^{-1} -17 t^{-2} +6 t^{-3} }[/math]
Conway polynomial Data:K13n2962/Conway Polynomial
Determinant 127
Signature 6
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +2 z^6 a^{-10} +3 z^4 a^{-6} +11 z^4 a^{-8} +7 z^4 a^{-10} -2 z^4 a^{-12} +2 z^2 a^{-6} +10 z^2 a^{-8} +7 z^2 a^{-10} -7 z^2 a^{-12} +2 a^{-8} +3 a^{-10} -5 a^{-12} + a^{-14} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +4 z^{10} a^{-10} +6 z^{10} a^{-12} +2 z^{10} a^{-14} +6 z^9 a^{-9} +7 z^9 a^{-11} +2 z^9 a^{-13} +z^9 a^{-15} +6 z^8 a^{-8} -6 z^8 a^{-10} -18 z^8 a^{-12} -6 z^8 a^{-14} +3 z^7 a^{-7} -13 z^7 a^{-9} -26 z^7 a^{-11} -11 z^7 a^{-13} -z^7 a^{-15} +z^6 a^{-6} -17 z^6 a^{-8} +4 z^6 a^{-10} +34 z^6 a^{-12} +15 z^6 a^{-14} +3 z^6 a^{-16} -7 z^5 a^{-7} +8 z^5 a^{-9} +40 z^5 a^{-11} +28 z^5 a^{-13} +4 z^5 a^{-15} +z^5 a^{-17} -3 z^4 a^{-6} +18 z^4 a^{-8} -8 z^4 a^{-10} -35 z^4 a^{-12} -12 z^4 a^{-14} -6 z^4 a^{-16} +3 z^3 a^{-7} -4 z^3 a^{-9} -28 z^3 a^{-11} -23 z^3 a^{-13} -5 z^3 a^{-15} -3 z^3 a^{-17} +2 z^2 a^{-6} -12 z^2 a^{-8} +8 z^2 a^{-10} +23 z^2 a^{-12} +3 z^2 a^{-14} +2 z^2 a^{-16} +8 z a^{-11} +6 z a^{-13} +2 z a^{-17} +2 a^{-8} -3 a^{-10} -5 a^{-12} - a^{-14} }[/math]



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