K14n13140

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13140

Polynomial invariants

Jones polynomial	Data:K14n13140/Jones Polynomial
Alexander polynomial	$-2t^{4}+9t^{3}-22t^{2}+38t-45+38t^{-1}-22t^{-2}+9t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n13140/Conway Polynomial
Determinant	Data:K14n13140/Determinant
Signature	Data:K14n13140/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+a^{2}z^{6}-4z^{6}a^{-2}+z^{6}a^{-4}-5z^{6}+4a^{2}z^{4}-5z^{4}a^{-2}+4z^{4}a^{-4}-11z^{4}+6a^{2}z^{2}-z^{2}a^{-2}+7z^{2}a^{-4}-z^{2}a^{-6}-12z^{2}+3a^{2}+a^{-2}+4a^{-4}-2a^{-6}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+8 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +10 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-9 \text{QuantumGroups$\grave{ }$a} z^9-14 z^9 $Failed^{-1} -z^9 $Failed^{-1} +z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-20 \text{QuantumGroups$\grave{ }$a}^2 z^8-26 z^8 $Failed^{-1} -47 z^8-13 \text{QuantumGroups$\grave{ }$a}^3 z^7-3 \text{QuantumGroups$\grave{ }$a} z^7+2 z^7 $Failed^{-1} -2 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6+27 \text{QuantumGroups$\grave{ }$a}^2 z^6+28 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +69 z^6+18 \text{QuantumGroups$\grave{ }$a}^3 z^5+10 \text{QuantumGroups$\grave{ }$a} z^5-7 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^4-19 \text{QuantumGroups$\grave{ }$a}^2 z^4-29 z^4 $Failed^{-1} +13 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -63 z^4-9 \text{QuantumGroups$\grave{ }$a}^3 z^3-2 \text{QuantumGroups$\grave{ }$a} z^3+10 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^2+11 \text{QuantumGroups$\grave{ }$a}^2 z^2+13 z^2 $Failed^{-1} -10 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +32 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z-5 z $Failed^{-1} -6 z $Failed^{-1} -6 z $Failed^{-1} -3 z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} +4 $Failed^{-1} +2 $Failed^{-1} -5}

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