K14n10946

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10946

Polynomial invariants

Jones polynomial	Data:K14n10946/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-9t^{2}+8t-5+8t^{-1}-9t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n10946/Conway Polynomial
Determinant	Data:K14n10946/Determinant
Signature	Data:K14n10946/Signature
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+2z^{6}a^{-2}-6z^{6}+4a^{2}z^{4}+10z^{4}a^{-2}-z^{4}a^{-4}-12z^{4}+2a^{2}z^{2}+14z^{2}a^{-2}-4z^{2}a^{-4}-11z^{2}+a^{4}-a^{2}+7a^{-2}-3a^{-4}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+2 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^{10}-3 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} -4 z^{10}-13 \text{QuantumGroups$\grave{ }$a} z^9-25 z^9 $Failed^{-1} -11 z^9 $Failed^{-1} +z^9 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^8-8 z^8 $Failed^{-1} -13 z^8 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^3 z^7+30 \text{QuantumGroups$\grave{ }$a} z^7+50 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^6+31 z^6 $Failed^{-1} +27 z^6 $Failed^{-1} +11 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5-32 \text{QuantumGroups$\grave{ }$a} z^5-40 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^4-2 \text{QuantumGroups$\grave{ }$a}^2 z^4-33 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} -14 z^4+2 \text{QuantumGroups$\grave{ }$a}^5 z^3+2 \text{QuantumGroups$\grave{ }$a}^3 z^3+8 \text{QuantumGroups$\grave{ }$a} z^3+7 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2-2 \text{QuantumGroups$\grave{ }$a}^4 z^2-5 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} +7 z^2-\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +7 z $Failed^{-1} +4 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2-7 $Failed^{-1} -3 $Failed^{-1} -3}

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