K13n2132

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Polynomial invariants

Jones polynomial Data:K13n2132/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+6 t^3-10 t^2+9 t-7+9 t^{-1} -10 t^{-2} +6 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2132/Conway Polynomial
Determinant 59
Signature 6
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +2 z^6 a^{-8} +4 z^4 a^{-4} -7 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} +4 z^2 a^{-4} -4 z^2 a^{-6} +13 z^2 a^{-8} -6 z^2 a^{-10} + a^{-4} - a^{-6} +5 a^{-8} -5 a^{-10} + a^{-12} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +3 z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-11} +z^8 a^{-4} -12 z^8 a^{-6} -21 z^8 a^{-8} -8 z^8 a^{-10} -15 z^7 a^{-5} -27 z^7 a^{-7} -16 z^7 a^{-9} -4 z^7 a^{-11} -5 z^6 a^{-4} +7 z^6 a^{-6} +15 z^6 a^{-8} +3 z^6 a^{-10} +22 z^5 a^{-5} +42 z^5 a^{-7} +21 z^5 a^{-9} +z^5 a^{-11} +8 z^4 a^{-4} +8 z^4 a^{-6} +12 z^4 a^{-8} +11 z^4 a^{-10} -z^4 a^{-12} -11 z^3 a^{-5} -20 z^3 a^{-7} -3 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} -5 z^2 a^{-4} -6 z^2 a^{-6} -15 z^2 a^{-8} -14 z^2 a^{-10} +z a^{-5} +3 z a^{-7} -3 z a^{-9} -4 z a^{-11} +z a^{-13} + a^{-4} + a^{-6} +5 a^{-8} +5 a^{-10} + a^{-12} }[/math]



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