K14a13393

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13393

Polynomial invariants

Jones polynomial	Data:K14a13393/Jones Polynomial
Alexander polynomial	$-2t^{4}+16t^{3}-49t^{2}+87t-103+87t^{-1}-49t^{-2}+16t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a13393/Conway Polynomial
Determinant	Data:K14a13393/Determinant
Signature	Data:K14a13393/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+2a^{2}z^{6}-2z^{6}a^{-2}+2z^{6}a^{-4}-2z^{6}-a^{4}z^{4}+6a^{2}z^{4}-2z^{4}a^{-2}+5z^{4}a^{-4}-z^{4}a^{-6}-3a^{4}z^{2}+6a^{2}z^{2}-5z^{2}a^{-2}+5z^{2}a^{-4}-2z^{2}a^{-6}+2z^{2}-2a^{4}+3a^{2}-4a^{-2}+3a^{-4}-a^{-6}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12} $Failed^{-1} +14 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+10 \text{QuantumGroups$\grave{ }$a} z^{11}+24 z^{11} $Failed^{-1} +19 z^{11} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-13 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} -35 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-20 \text{QuantumGroups$\grave{ }$a}^3 z^9-58 \text{QuantumGroups$\grave{ }$a} z^9-88 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} +26 z^9 $Failed^{-1} -15 \text{QuantumGroups$\grave{ }$a}^4 z^8-\text{QuantumGroups$\grave{ }$a}^2 z^8-64 z^8 $Failed^{-1} -46 z^8 $Failed^{-1} +19 z^8 $Failed^{-1} +15 z^8-6 \text{QuantumGroups$\grave{ }$a}^5 z^7+22 \text{QuantumGroups$\grave{ }$a}^3 z^7+84 \text{QuantumGroups$\grave{ }$a} z^7+99 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} -48 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} +26 \text{QuantumGroups$\grave{ }$a}^4 z^6+18 \text{QuantumGroups$\grave{ }$a}^2 z^6+54 z^6 $Failed^{-1} +16 z^6 $Failed^{-1} -30 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} -4 z^6+13 \text{QuantumGroups$\grave{ }$a}^5 z^5+\text{QuantumGroups$\grave{ }$a}^3 z^5-56 \text{QuantumGroups$\grave{ }$a} z^5-68 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} +36 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +z^5 $Failed^{-1} -19 \text{QuantumGroups$\grave{ }$a}^4 z^4-7 \text{QuantumGroups$\grave{ }$a}^2 z^4-6 z^4 $Failed^{-1} +15 z^4 $Failed^{-1} +25 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} +19 z^4-12 \text{QuantumGroups$\grave{ }$a}^5 z^3-12 \text{QuantumGroups$\grave{ }$a}^3 z^3+22 \text{QuantumGroups$\grave{ }$a} z^3+26 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -z^3 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^4 z^2+3 \text{QuantumGroups$\grave{ }$a}^2 z^2-15 z^2 $Failed^{-1} -13 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -13 z^2+4 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} +z $Failed^{-1} -z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2+4 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} +2}

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