K14a7014

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7014

Polynomial invariants

Jones polynomial	Data:K14a7014/Jones Polynomial
Alexander polynomial	$-t^{4}+12t^{3}-55t^{2}+127t-165+127t^{-1}-55t^{-2}+12t^{-3}-t^{-4}$
Conway polynomial	Data:K14a7014/Conway Polynomial
Determinant	Data:K14a7014/Determinant
Signature	Data:K14a7014/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{6}a^{-2}+3z^{6}a^{-4}+3z^{6}-3a^{2}z^{4}-6z^{4}a^{-2}+5z^{4}a^{-4}-3z^{4}a^{-6}+4z^{4}+a^{4}z^{2}-2a^{2}z^{2}-6z^{2}a^{-2}+6z^{2}a^{-4}-3z^{2}a^{-6}+z^{2}a^{-8}+2z^{2}+a^{2}-2a^{-2}+3a^{-4}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +17 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +8 z^{12}+13 \text{QuantumGroups$\grave{ }$a} z^{11}+32 z^{11} $Failed^{-1} +37 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +10 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-28 \text{QuantumGroups$\grave{ }$a} z^9-86 z^9 $Failed^{-1} -74 z^9 $Failed^{-1} -2 z^9 $Failed^{-1} +19 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-34 \text{QuantumGroups$\grave{ }$a}^2 z^8-103 z^8 $Failed^{-1} -93 z^8 $Failed^{-1} -23 z^8 $Failed^{-1} +12 z^8 $Failed^{-1} -80 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7+5 \text{QuantumGroups$\grave{ }$a} z^7+51 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} -49 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+35 \text{QuantumGroups$\grave{ }$a}^2 z^6+111 z^6 $Failed^{-1} +65 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} -18 z^6 $Failed^{-1} +z^6 $Failed^{-1} +94 z^6+17 \text{QuantumGroups$\grave{ }$a}^3 z^5+15 \text{QuantumGroups$\grave{ }$a} z^5+2 z^5 $Failed^{-1} +39 z^5 $Failed^{-1} +53 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^4-14 \text{QuantumGroups$\grave{ }$a}^2 z^4-34 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +25 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -z^4 $Failed^{-1} -40 z^4-6 \text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} -23 z^3 $Failed^{-1} -18 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+3 \text{QuantumGroups$\grave{ }$a}^2 z^2-5 z^2 $Failed^{-1} -15 z^2 $Failed^{-1} -11 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +6 z^2-\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} }

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