K14a16537

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Polynomial invariants

Jones polynomial Data:K14a16537/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^5-12 t^4+32 t^3-57 t^2+81 t-91+81 t^{-1} -57 t^{-2} +32 t^{-3} -12 t^{-4} +2 t^{-5} }[/math]
Conway polynomial Data:K14a16537/Conway Polynomial
Determinant Data:K14a16537/Determinant
Signature Data:K14a16537/Signature
HOMFLY-PT polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +6 z^8 a^{-2} +4 z^8 a^{-4} -z^8 a^{-6} -z^8+14 z^6 a^{-2} -3 z^6 a^{-6} -5 z^6+17 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -7 z^4+12 z^2 a^{-2} -18 z^2 a^{-4} +7 z^2 a^{-6} -2 z^2+4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math]
Kauffman polynomial [math]\displaystyle{ 4 z^{13} a^{-3} +4 z^{13} a^{-5} +11 z^{12} a^{-2} +23 z^{12} a^{-4} +12 z^{12} a^{-6} +14 z^{11} a^{-1} +13 z^{11} a^{-3} +16 z^{11} a^{-5} +17 z^{11} a^{-7} -28 z^{10} a^{-2} -78 z^{10} a^{-4} -20 z^{10} a^{-6} +18 z^{10} a^{-8} +12 z^{10}+8 a z^9-46 z^9 a^{-1} -90 z^9 a^{-3} -82 z^9 a^{-5} -32 z^9 a^{-7} +14 z^9 a^{-9} +4 a^2 z^8+9 z^8 a^{-2} +102 z^8 a^{-4} +8 z^8 a^{-6} -37 z^8 a^{-8} +6 z^8 a^{-10} -38 z^8+a^3 z^7-25 a z^7+50 z^7 a^{-1} +170 z^7 a^{-3} +134 z^7 a^{-5} +6 z^7 a^{-7} -33 z^7 a^{-9} +z^7 a^{-11} -13 a^2 z^6+50 z^6 a^{-2} -21 z^6 a^{-4} -5 z^6 a^{-6} +7 z^6 a^{-8} -12 z^6 a^{-10} +34 z^6-3 a^3 z^5+19 a z^5-9 z^5 a^{-1} -106 z^5 a^{-3} -89 z^5 a^{-5} +4 z^5 a^{-7} +17 z^5 a^{-9} -z^5 a^{-11} +9 a^2 z^4-51 z^4 a^{-2} -45 z^4 a^{-4} -5 z^4 a^{-6} +10 z^4 a^{-8} +4 z^4 a^{-10} -8 z^4+a^3 z^3-6 a z^3-11 z^3 a^{-1} +13 z^3 a^{-3} +15 z^3 a^{-5} +2 z^3 a^{-9} -2 a^2 z^2+20 z^2 a^{-2} +32 z^2 a^{-4} +9 z^2 a^{-6} -2 z^2 a^{-8} +2 z^2 a^{-10} -z^2+a z+3 z a^{-1} +4 z a^{-3} +2 z a^{-5} -2 z a^{-7} -2 z a^{-9} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math]



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