K13n1944

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Polynomial invariants

Jones polynomial Data:K13n1944/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-9 t^2+20 t-25+20 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1944/Conway Polynomial
Determinant 87
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +2 z^4-a^2 z^2+5 z^2 a^{-2} -2 z^2 a^{-4} +4 a^{-2} -2 a^{-4} -1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +3 z^{10} a^{-4} +6 z^{10}+7 a z^9+z^9 a^{-1} -5 z^9 a^{-3} +z^9 a^{-5} +4 a^2 z^8-44 z^8 a^{-2} -17 z^8 a^{-4} -23 z^8+a^3 z^7-28 a z^7-35 z^7 a^{-1} -12 z^7 a^{-3} -6 z^7 a^{-5} -14 a^2 z^6+66 z^6 a^{-2} +33 z^6 a^{-4} +19 z^6-3 a^3 z^5+27 a z^5+58 z^5 a^{-1} +42 z^5 a^{-3} +14 z^5 a^{-5} +9 a^2 z^4-37 z^4 a^{-2} -24 z^4 a^{-4} -4 z^4+a^3 z^3-10 a z^3-30 z^3 a^{-1} -32 z^3 a^{-3} -13 z^3 a^{-5} -2 a^2 z^2+12 z^2 a^{-2} +8 z^2 a^{-4} +2 z^2+2 a z+6 z a^{-1} +8 z a^{-3} +4 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math]



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