K14a6127

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6127

Polynomial invariants

Jones polynomial	Data:K14a6127/Jones Polynomial
Alexander polynomial	$-2t^{3}+20t^{2}-69t+103-69t^{-1}+20t^{-2}-2t^{-3}$
Conway polynomial	Data:K14a6127/Conway Polynomial
Determinant	Data:K14a6127/Determinant
Signature	Data:K14a6127/Signature
HOMFLY-PT polynomial	$a^{8}-3z^{2}a^{6}-a^{6}+3z^{4}a^{4}+z^{2}a^{4}-z^{6}a^{2}+z^{4}a^{2}-z^{2}a^{2}+a^{2}-z^{6}+z^{4}-2z^{2}-1+3z^{4}a^{-2}+z^{2}a^{-2}+a^{-2}-3z^{2}a^{-4}-a^{-4}+a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^3 z^{13}+\text{QuantumGroups$\grave{ }$a} z^{13}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+6 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+3 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+6 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+5 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-\text{QuantumGroups$\grave{ }$a}^4 z^{10}-11 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +z^{10}+3 \text{QuantumGroups$\grave{ }$a}^7 z^9-14 \text{QuantumGroups$\grave{ }$a}^5 z^9-21 \text{QuantumGroups$\grave{ }$a}^3 z^9-14 \text{QuantumGroups$\grave{ }$a} z^9-4 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-19 \text{QuantumGroups$\grave{ }$a}^6 z^8-22 \text{QuantumGroups$\grave{ }$a}^4 z^8+2 \text{QuantumGroups$\grave{ }$a}^2 z^8-5 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -6 z^8-13 \text{QuantumGroups$\grave{ }$a}^7 z^7+3 \text{QuantumGroups$\grave{ }$a}^5 z^7+11 \text{QuantumGroups$\grave{ }$a}^3 z^7+7 \text{QuantumGroups$\grave{ }$a} z^7+3 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^8 z^6+19 \text{QuantumGroups$\grave{ }$a}^6 z^6+30 \text{QuantumGroups$\grave{ }$a}^4 z^6+3 \text{QuantumGroups$\grave{ }$a}^2 z^6-8 z^6 $Failed^{-1} +z^6 $Failed^{-1} +6 z^6+17 \text{QuantumGroups$\grave{ }$a}^7 z^5+10 \text{QuantumGroups$\grave{ }$a}^5 z^5+6 \text{QuantumGroups$\grave{ }$a}^3 z^5+5 \text{QuantumGroups$\grave{ }$a} z^5-4 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^4-4 \text{QuantumGroups$\grave{ }$a}^6 z^4-13 \text{QuantumGroups$\grave{ }$a}^4 z^4+2 \text{QuantumGroups$\grave{ }$a}^2 z^4-2 z^4 $Failed^{-1} +z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -3 z^4-9 \text{QuantumGroups$\grave{ }$a}^7 z^3-6 \text{QuantumGroups$\grave{ }$a}^5 z^3-3 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^8 z^2-3 \text{QuantumGroups$\grave{ }$a}^6 z^2+\text{QuantumGroups$\grave{ }$a}^4 z^2-\text{QuantumGroups$\grave{ }$a}^2 z^2+2 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +2 z^2+2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z-z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} - $Failed^{-1} - $Failed^{-1} -1}

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