K13n4110

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Polynomial invariants

Jones polynomial Data:K13n4110/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+14 t^2-41 t+59-41 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n4110/Conway Polynomial
Determinant 173
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4+2 z^4 a^{-4} -z^4-a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} -3 z^2+a^4+2 a^{-2} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10}+4 a z^9+5 z^9 a^{-1} +8 z^9 a^{-3} +7 z^9 a^{-5} +3 a^2 z^8-17 z^8 a^{-2} -12 z^8 a^{-4} +4 z^8 a^{-6} +2 z^8+a^3 z^7+6 a z^7-z^7 a^{-1} -29 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} +4 a^2 z^6+6 z^6 a^{-2} -z^6 a^{-4} -13 z^6 a^{-6} -2 z^6+5 a^3 z^5-16 a z^5-27 z^5 a^{-1} +17 z^5 a^{-3} +20 z^5 a^{-5} -3 z^5 a^{-7} +3 a^4 z^4-3 a^2 z^4-11 z^4 a^{-2} +8 z^4 a^{-4} +12 z^4 a^{-6} -13 z^4-3 a^3 z^3+14 a z^3+25 z^3 a^{-1} +z^3 a^{-3} -5 z^3 a^{-5} +2 z^3 a^{-7} -3 a^4 z^2+10 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2 a^{-6} +12 z^2-5 a z-7 z a^{-1} -2 z a^{-3} +a^4-2 a^{-2} -2 }[/math]



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