K13n2394

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Polynomial invariants

Jones polynomial Data:K13n2394/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+7 t^3-17 t^2+26 t-29+26 t^{-1} -17 t^{-2} +7 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2394/Conway Polynomial
Determinant 131
Signature 6
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -5 z^6 a^{-8} +2 z^6 a^{-10} +9 z^4 a^{-6} -10 z^4 a^{-8} +7 z^4 a^{-10} -z^4 a^{-12} +12 z^2 a^{-6} -11 z^2 a^{-8} +6 z^2 a^{-10} -2 z^2 a^{-12} +5 a^{-6} -5 a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^{10} a^{-12} +z^9 a^{-7} +z^9 a^{-9} +7 z^9 a^{-11} +7 z^9 a^{-13} -7 z^8 a^{-8} -19 z^8 a^{-10} -4 z^8 a^{-12} +8 z^8 a^{-14} -z^7 a^{-7} -7 z^7 a^{-9} -25 z^7 a^{-11} -12 z^7 a^{-13} +7 z^7 a^{-15} +3 z^6 a^{-6} +17 z^6 a^{-8} +32 z^6 a^{-10} +2 z^6 a^{-12} -12 z^6 a^{-14} +4 z^6 a^{-16} -2 z^5 a^{-7} +11 z^5 a^{-9} +35 z^5 a^{-11} +10 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} -12 z^4 a^{-6} -30 z^4 a^{-8} -29 z^4 a^{-10} -2 z^4 a^{-12} +3 z^4 a^{-14} -6 z^4 a^{-16} -3 z^3 a^{-7} -13 z^3 a^{-9} -17 z^3 a^{-11} -3 z^3 a^{-13} +3 z^3 a^{-15} -z^3 a^{-17} +14 z^2 a^{-6} +21 z^2 a^{-8} +10 z^2 a^{-10} +4 z^2 a^{-12} +2 z^2 a^{-14} +z^2 a^{-16} +5 z a^{-7} +5 z a^{-9} -5 a^{-6} -5 a^{-8} - a^{-10} }[/math]



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