K14a506

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a506

Polynomial invariants

Jones polynomial	Data:K14a506/Jones Polynomial
Alexander polynomial	$t^{4}-14t^{3}+59t^{2}-125t+159-125t^{-1}+59t^{-2}-14t^{-3}+t^{-4}$
Conway polynomial	Data:K14a506/Conway Polynomial
Determinant	Data:K14a506/Determinant
Signature	Data:K14a506/Signature
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-3z^{6}a^{-2}+3a^{4}z^{4}-3a^{2}z^{4}-3z^{4}a^{-2}+3z^{4}a^{-4}-5z^{4}-a^{6}z^{2}+4a^{4}z^{2}+3a^{2}z^{2}+3z^{2}a^{-2}+4z^{2}a^{-4}-z^{2}a^{-6}-11z^{2}-a^{6}+a^{4}+4a^{2}+4a^{-2}+a^{-4}-a^{-6}-7$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+6 z^{12} $Failed^{-1} +12 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+37 \text{QuantumGroups$\grave{ }$a} z^{11}+37 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+36 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+36 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +44 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9-59 \text{QuantumGroups$\grave{ }$a} z^9-59 z^9 $Failed^{-1} -4 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-26 \text{QuantumGroups$\grave{ }$a}^4 z^8-121 \text{QuantumGroups$\grave{ }$a}^2 z^8-121 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -182 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-19 \text{QuantumGroups$\grave{ }$a}^5 z^7-39 \text{QuantumGroups$\grave{ }$a}^3 z^7-16 \text{QuantumGroups$\grave{ }$a} z^7-16 z^7 $Failed^{-1} -39 z^7 $Failed^{-1} -19 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+19 \text{QuantumGroups$\grave{ }$a}^4 z^6+142 \text{QuantumGroups$\grave{ }$a}^2 z^6+142 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +226 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5+58 \text{QuantumGroups$\grave{ }$a}^3 z^5+73 \text{QuantumGroups$\grave{ }$a} z^5+73 z^5 $Failed^{-1} +58 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^4-6 \text{QuantumGroups$\grave{ }$a}^4 z^4-87 \text{QuantumGroups$\grave{ }$a}^2 z^4-87 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -144 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-6 \text{QuantumGroups$\grave{ }$a}^5 z^3-34 \text{QuantumGroups$\grave{ }$a}^3 z^3-43 \text{QuantumGroups$\grave{ }$a} z^3-43 z^3 $Failed^{-1} -34 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-2 \text{QuantumGroups$\grave{ }$a}^4 z^2+28 \text{QuantumGroups$\grave{ }$a}^2 z^2+28 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +52 z^2-\text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+7 \text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +6 z $Failed^{-1} +z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} + $Failed^{-1} + $Failed^{-1} -7}

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