K14n11652

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11652

Polynomial invariants

Jones polynomial	Data:K14n11652/Jones Polynomial
Alexander polynomial	$-t^{4}+10t^{3}-35t^{2}+70t-87+70t^{-1}-35t^{-2}+10t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11652/Conway Polynomial
Determinant	Data:K14n11652/Determinant
Signature	Data:K14n11652/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-3z^{6}a^{-2}+3z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-5z^{4}a^{-2}+9z^{4}a^{-4}-2z^{4}a^{-6}+4z^{4}-a^{2}z^{2}-4z^{2}a^{-2}+11z^{2}a^{-4}-4z^{2}a^{-6}+2z^{2}-a^{-2}+5a^{-4}-3a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +8 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +24 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +13 z^{10}+11 \text{QuantumGroups$\grave{ }$a} z^9+4 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-66 z^8 $Failed^{-1} -42 z^8 $Failed^{-1} -6 z^8 $Failed^{-1} +z^8 $Failed^{-1} -26 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-28 \text{QuantumGroups$\grave{ }$a} z^7-53 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} +2 z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+47 z^6 $Failed^{-1} +32 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} +5 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+21 \text{QuantumGroups$\grave{ }$a} z^5+57 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^4-8 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} +8 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-21 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +z^3 $Failed^{-1} -5 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} -10 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -2 z^2+\text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -4 z $Failed^{-1} -z $Failed^{-1} +2 z $Failed^{-1} + $Failed^{-1} +5 $Failed^{-1} +3 $Failed^{-1} }

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