K14n11492

Knot presentations

Dowker-Thistlethwaite code

4 10 -16 24 2 -18 -22 -20 -8 -28 -26 -12 6 -14

Notes on presentations of K14n11492

Polynomial invariants

Jones polynomial	Data:K14n11492/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-11t^{2}+16t-17+16t^{-1}-11t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11492/Conway Polynomial
Determinant	Data:K14n11492/Determinant
Signature	Data:K14n11492/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-4}+2z^{6}a^{-2}-6z^{6}a^{-4}+z^{6}a^{-6}+8z^{4}a^{-2}-13z^{4}a^{-4}+5z^{4}a^{-6}-z^{4}+9z^{2}a^{-2}-12z^{2}a^{-4}+7z^{2}a^{-6}-z^{2}a^{-8}-2z^{2}+3a^{-2}-4a^{-4}+3a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +3 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +z^9 $Failed^{-1} -10 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +z^9 $Failed^{-1} -16 z^8 $Failed^{-1} -33 z^8 $Failed^{-1} -17 z^8 $Failed^{-1} +24 z^7 $Failed^{-1} +22 z^7 $Failed^{-1} -2 z^7 $Failed^{-1} +41 z^6 $Failed^{-1} +76 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +4 z^6+\text{QuantumGroups$\grave{ }$a} z^5-3 z^5 $Failed^{-1} -23 z^5 $Failed^{-1} -18 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} +z^5 $Failed^{-1} -46 z^4 $Failed^{-1} -71 z^4 $Failed^{-1} -44 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} -10 z^4-2 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +20 z^2 $Failed^{-1} +29 z^2 $Failed^{-1} +20 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} +5 z^2-z $Failed^{-1} -3 z $Failed^{-1} -3 z $Failed^{-1} +z $Failed^{-1} -3 $Failed^{-1} -4 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }

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