K14n11518

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11518

Polynomial invariants

Jones polynomial	Data:K14n11518/Jones Polynomial
Alexander polynomial	$-t^{4}+10t^{3}-37t^{2}+78t-99+78t^{-1}-37t^{-2}+10t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11518/Conway Polynomial
Determinant	Data:K14n11518/Determinant
Signature	Data:K14n11518/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-3z^{6}a^{-2}+3z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-6z^{4}a^{-2}+8z^{4}a^{-4}-2z^{4}a^{-6}+4z^{4}-a^{2}z^{2}-5z^{2}a^{-2}+10z^{2}a^{-4}-3z^{2}a^{-6}+3z^{2}-a^{-2}+5a^{-4}-3a^{-6}$
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} +27 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +13 z^{10}+11 \text{QuantumGroups$\grave{ }$a} z^9+10 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-59 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +7 z^8 $Failed^{-1} +z^8 $Failed^{-1} -22 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-27 \text{QuantumGroups$\grave{ }$a} z^7-64 z^7 $Failed^{-1} -65 z^7 $Failed^{-1} -19 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+21 z^6 $Failed^{-1} -17 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} -z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+22 \text{QuantumGroups$\grave{ }$a} z^5+67 z^5 $Failed^{-1} +56 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^4+9 z^4 $Failed^{-1} +25 z^4 $Failed^{-1} +14 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +14 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-26 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} +9 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} -10 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} +z^2 $Failed^{-1} -4 z^2+\text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -z $Failed^{-1} -7 z $Failed^{-1} -4 z $Failed^{-1} +z $Failed^{-1} + $Failed^{-1} +5 $Failed^{-1} +3 $Failed^{-1} }

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