K14a5249

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5249

Polynomial invariants

Jones polynomial	Data:K14a5249/Jones Polynomial
Alexander polynomial	$3t^{3}-17t^{2}+41t-53+41t^{-1}-17t^{-2}+3t^{-3}$
Conway polynomial	Data:K14a5249/Conway Polynomial
Determinant	Data:K14a5249/Determinant
Signature	Data:K14a5249/Signature
HOMFLY-PT polynomial	$z^{2}a^{6}+a^{6}-2z^{4}a^{4}-4z^{2}a^{4}-2a^{4}+z^{6}a^{2}+2z^{4}a^{2}+2z^{2}a^{2}+a^{2}+z^{6}+z^{4}+z^{6}a^{-2}+2z^{4}a^{-2}+3z^{2}a^{-2}+2a^{-2}-2z^{4}a^{-4}-3z^{2}a^{-4}-a^{-4}+z^{2}a^{-6}$
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}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+8 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^{10}-16 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-34 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+8 z^{10} $Failed^{-1} -9 z^{10}-21 \text{QuantumGroups$\grave{ }$a}^5 z^9-54 \text{QuantumGroups$\grave{ }$a}^3 z^9-65 \text{QuantumGroups$\grave{ }$a} z^9-24 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^6 z^8+18 \text{QuantumGroups$\grave{ }$a}^4 z^8+34 \text{QuantumGroups$\grave{ }$a}^2 z^8-21 z^8 $Failed^{-1} +8 z^8 $Failed^{-1} -20 z^8+51 \text{QuantumGroups$\grave{ }$a}^5 z^7+137 \text{QuantumGroups$\grave{ }$a}^3 z^7+127 \text{QuantumGroups$\grave{ }$a} z^7+21 z^7 $Failed^{-1} -12 z^7 $Failed^{-1} +8 z^7 $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^6 z^6+20 \text{QuantumGroups$\grave{ }$a}^4 z^6+31 \text{QuantumGroups$\grave{ }$a}^2 z^6+12 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +7 z^6 $Failed^{-1} +53 z^6-54 \text{QuantumGroups$\grave{ }$a}^5 z^5-134 \text{QuantumGroups$\grave{ }$a}^3 z^5-97 \text{QuantumGroups$\grave{ }$a} z^5-11 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -18 \text{QuantumGroups$\grave{ }$a}^6 z^4-44 \text{QuantumGroups$\grave{ }$a}^4 z^4-55 \text{QuantumGroups$\grave{ }$a}^2 z^4-6 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +z^4 $Failed^{-1} -33 z^4+25 \text{QuantumGroups$\grave{ }$a}^5 z^3+54 \text{QuantumGroups$\grave{ }$a}^3 z^3+33 \text{QuantumGroups$\grave{ }$a} z^3+8 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^2+21 \text{QuantumGroups$\grave{ }$a}^4 z^2+19 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +7 z^2-4 \text{QuantumGroups$\grave{ }$a}^5 z-8 \text{QuantumGroups$\grave{ }$a}^3 z-5 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} - $Failed^{-1} }

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