K14n12639

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12639

Polynomial invariants

Jones polynomial	Data:K14n12639/Jones Polynomial
Alexander polynomial	$-t^{4}+8t^{3}-31t^{2}+65t-81+65t^{-1}-31t^{-2}+8t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12639/Conway Polynomial
Determinant	Data:K14n12639/Determinant
Signature	Data:K14n12639/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-4z^{6}a^{-2}+z^{6}a^{-4}+3z^{6}-3a^{2}z^{4}-9z^{4}a^{-2}+z^{4}a^{-4}+8z^{4}+a^{4}z^{2}-5a^{2}z^{2}-8z^{2}a^{-2}+z^{2}a^{-6}+8z^{2}+a^{4}-2a^{2}-a^{-2}-a^{-4}+a^{-6}+3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+13 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +16 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-5 \text{QuantumGroups$\grave{ }$a} z^9-12 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-21 \text{QuantumGroups$\grave{ }$a}^2 z^8-43 z^8 $Failed^{-1} -4 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -57 z^8-15 \text{QuantumGroups$\grave{ }$a}^3 z^7-33 \text{QuantumGroups$\grave{ }$a} z^7-43 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} +2 z^7 $Failed^{-1} +z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+14 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +7 z^6 $Failed^{-1} +35 z^6+20 \text{QuantumGroups$\grave{ }$a}^3 z^5+53 \text{QuantumGroups$\grave{ }$a} z^5+48 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^4 z^4+8 \text{QuantumGroups$\grave{ }$a}^2 z^4+21 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} +14 z^4-11 \text{QuantumGroups$\grave{ }$a}^3 z^3-22 \text{QuantumGroups$\grave{ }$a} z^3-12 z^3 $Failed^{-1} +12 z^3 $Failed^{-1} +9 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^2-9 \text{QuantumGroups$\grave{ }$a}^2 z^2-11 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -14 z^2+2 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} - $Failed^{-1} - $Failed^{-1} +3}

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