K14n13148

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n13148

Polynomial invariants

Jones polynomial	Data:K14n13148/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-15t^{2}+25t-29+25t^{-1}-15t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K14n13148/Conway Polynomial
Determinant	Data:K14n13148/Determinant
Signature	Data:K14n13148/Signature
HOMFLY-PT polynomial	$-z^{8}+2a^{2}z^{6}+z^{6}a^{-2}-5z^{6}+8a^{2}z^{4}+3z^{4}a^{-2}-10z^{4}-a^{6}z^{2}+11a^{2}z^{2}+3z^{2}a^{-2}-10z^{2}-a^{6}-a^{4}+6a^{2}+a^{-2}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +8 z^{10}-7 \text{QuantumGroups$\grave{ }$a}^3 z^9-18 \text{QuantumGroups$\grave{ }$a} z^9-7 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^8-7 \text{QuantumGroups$\grave{ }$a}^4 z^8-30 \text{QuantumGroups$\grave{ }$a}^2 z^8-23 z^8 $Failed^{-1} +z^8 $Failed^{-1} -46 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-3 \text{QuantumGroups$\grave{ }$a}^5 z^7-2 \text{QuantumGroups$\grave{ }$a}^3 z^7-4 \text{QuantumGroups$\grave{ }$a} z^7-23 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} -8 \text{QuantumGroups$\grave{ }$a}^6 z^6+13 \text{QuantumGroups$\grave{ }$a}^4 z^6+54 \text{QuantumGroups$\grave{ }$a}^2 z^6+21 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +58 z^6-6 \text{QuantumGroups$\grave{ }$a}^7 z^5+5 \text{QuantumGroups$\grave{ }$a}^5 z^5+25 \text{QuantumGroups$\grave{ }$a}^3 z^5+37 \text{QuantumGroups$\grave{ }$a} z^5+45 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^6 z^4-7 \text{QuantumGroups$\grave{ }$a}^4 z^4-43 \text{QuantumGroups$\grave{ }$a}^2 z^4-4 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -33 z^4+8 \text{QuantumGroups$\grave{ }$a}^7 z^3+2 \text{QuantumGroups$\grave{ }$a}^5 z^3-24 \text{QuantumGroups$\grave{ }$a}^3 z^3-33 \text{QuantumGroups$\grave{ }$a} z^3-26 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2+3 \text{QuantumGroups$\grave{ }$a}^4 z^2+18 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +14 z^2-3 \text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+7 \text{QuantumGroups$\grave{ }$a}^3 z+10 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -4}

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