K14a13454

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13454

Polynomial invariants

Jones polynomial	Data:K14a13454/Jones Polynomial
Alexander polynomial	$-3t^{4}+16t^{3}-38t^{2}+54t-57+54t^{-1}-38t^{-2}+16t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a13454/Conway Polynomial
Determinant	Data:K14a13454/Determinant
Signature	Data:K14a13454/Signature
HOMFLY-PT polynomial	$-a^{2}z^{8}-z^{8}a^{-2}-z^{8}+a^{4}z^{6}-4a^{2}z^{6}-4z^{6}a^{-2}+z^{6}a^{-4}-2z^{6}+3a^{4}z^{4}-5a^{2}z^{4}-6z^{4}a^{-2}+3z^{4}a^{-4}+3z^{4}+a^{4}z^{2}-3a^{2}z^{2}-6z^{2}a^{-2}+2z^{2}a^{-4}+4z^{2}+a^{2}-a^{-2}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+3 \text{QuantumGroups$\grave{ }$a} z^{13}+6 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^5 z^{11}-7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+15 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^{10}-38 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-83 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+21 z^{10} $Failed^{-1} -23 z^{10}-26 \text{QuantumGroups$\grave{ }$a}^5 z^9-30 \text{QuantumGroups$\grave{ }$a}^3 z^9-65 \text{QuantumGroups$\grave{ }$a} z^9-37 z^9 $Failed^{-1} +24 z^9 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^6 z^8+83 \text{QuantumGroups$\grave{ }$a}^4 z^8+159 \text{QuantumGroups$\grave{ }$a}^2 z^8-53 z^8 $Failed^{-1} +21 z^8 $Failed^{-1} -4 z^8+57 \text{QuantumGroups$\grave{ }$a}^5 z^7+111 \text{QuantumGroups$\grave{ }$a}^3 z^7+121 \text{QuantumGroups$\grave{ }$a} z^7-6 z^7 $Failed^{-1} -58 z^7 $Failed^{-1} +15 z^7 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^6 z^6-73 \text{QuantumGroups$\grave{ }$a}^4 z^6-129 \text{QuantumGroups$\grave{ }$a}^2 z^6+18 z^6 $Failed^{-1} -38 z^6 $Failed^{-1} +9 z^6 $Failed^{-1} +20 z^6-48 \text{QuantumGroups$\grave{ }$a}^5 z^5-113 \text{QuantumGroups$\grave{ }$a}^3 z^5-79 \text{QuantumGroups$\grave{ }$a} z^5+45 z^5 $Failed^{-1} +38 z^5 $Failed^{-1} -17 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^6 z^4+22 \text{QuantumGroups$\grave{ }$a}^4 z^4+40 \text{QuantumGroups$\grave{ }$a}^2 z^4+18 z^4 $Failed^{-1} +17 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +z^4 $Failed^{-1} +6 z^4+14 \text{QuantumGroups$\grave{ }$a}^5 z^3+37 \text{QuantumGroups$\grave{ }$a}^3 z^3+20 \text{QuantumGroups$\grave{ }$a} z^3-19 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2+\text{QuantumGroups$\grave{ }$a}^4 z^2-9 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +z^2 $Failed^{-1} -4 z^2-\text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^3 z-3 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} + $Failed^{-1} }

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