K14n17985

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n17985

Polynomial invariants

Jones polynomial	Data:K14n17985/Jones Polynomial
Alexander polynomial	$-3t^{3}+23t^{2}-65t+91-65t^{-1}+23t^{-2}-3t^{-3}$
Conway polynomial	Data:K14n17985/Conway Polynomial
Determinant	Data:K14n17985/Determinant
Signature	Data:K14n17985/Signature
HOMFLY-PT polynomial	$-2z^{6}a^{-2}-z^{6}+2a^{2}z^{4}-3z^{4}a^{-2}+3z^{4}a^{-4}+3z^{4}-a^{4}z^{2}-2a^{2}z^{2}-4z^{2}a^{-2}+2z^{2}a^{-4}-z^{2}a^{-6}+6z^{2}+a^{4}-3a^{2}-a^{-2}+4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+13 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +13 z^{10} $Failed^{-1} +10 z^{10}+\text{QuantumGroups$\grave{ }$a}^3 z^9-9 \text{QuantumGroups$\grave{ }$a} z^9-25 z^9 $Failed^{-1} -4 z^9 $Failed^{-1} +11 z^9 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^2 z^8-64 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -34 z^8+6 \text{QuantumGroups$\grave{ }$a}^3 z^7+16 \text{QuantumGroups$\grave{ }$a} z^7+8 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} -29 z^7 $Failed^{-1} +z^7 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^6+14 \text{QuantumGroups$\grave{ }$a}^2 z^6+57 z^6 $Failed^{-1} +16 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +38 z^6+\text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5-10 \text{QuantumGroups$\grave{ }$a} z^5+6 z^5 $Failed^{-1} +29 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^4 z^4-8 \text{QuantumGroups$\grave{ }$a}^2 z^4-12 z^4 $Failed^{-1} -5 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} -z^4-\text{QuantumGroups$\grave{ }$a}^5 z^3+\text{QuantumGroups$\grave{ }$a}^3 z^3+5 \text{QuantumGroups$\grave{ }$a} z^3+7 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^2-6 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} +z^2 $Failed^{-1} -z^2 $Failed^{-1} -13 z^2-2 \text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +4}

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