K14n11342

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11342

Polynomial invariants

Jones polynomial	Data:K14n11342/Jones Polynomial
Alexander polynomial	$4t^{3}-15t^{2}+30t-37+30t^{-1}-15t^{-2}+4t^{-3}$
Conway polynomial	Data:K14n11342/Conway Polynomial
Determinant	Data:K14n11342/Determinant
Signature	Data:K14n11342/Signature
HOMFLY-PT polynomial	$-z^{4}a^{10}-z^{2}a^{10}+2a^{10}+z^{6}a^{8}-8z^{2}a^{8}-9a^{8}+3z^{6}a^{6}+13z^{4}a^{6}+20z^{2}a^{6}+10a^{6}-3z^{4}a^{4}-6z^{2}a^{4}-2a^{4}+z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+8 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-22 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+39 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-25 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-24 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+31 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-6 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-9 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+6 z \text{QuantumGroups$\grave{ }$a}^{11}+2 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-48 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+92 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-52 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+11 z^{11} \text{QuantumGroups$\grave{ }$a}^9-50 z^9 \text{QuantumGroups$\grave{ }$a}^9+57 z^7 \text{QuantumGroups$\grave{ }$a}^9-3 z^5 \text{QuantumGroups$\grave{ }$a}^9-28 z^3 \text{QuantumGroups$\grave{ }$a}^9+20 z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+5 z^{10} \text{QuantumGroups$\grave{ }$a}^8-58 z^8 \text{QuantumGroups$\grave{ }$a}^8+99 z^6 \text{QuantumGroups$\grave{ }$a}^8-62 z^4 \text{QuantumGroups$\grave{ }$a}^8+19 z^2 \text{QuantumGroups$\grave{ }$a}^8-9 \text{QuantumGroups$\grave{ }$a}^8+6 z^{11} \text{QuantumGroups$\grave{ }$a}^7-22 z^9 \text{QuantumGroups$\grave{ }$a}^7+11 z^7 \text{QuantumGroups$\grave{ }$a}^7+22 z^5 \text{QuantumGroups$\grave{ }$a}^7-39 z^3 \text{QuantumGroups$\grave{ }$a}^7+22 z \text{QuantumGroups$\grave{ }$a}^7+7 z^{10} \text{QuantumGroups$\grave{ }$a}^6-32 z^8 \text{QuantumGroups$\grave{ }$a}^6+49 z^6 \text{QuantumGroups$\grave{ }$a}^6-41 z^4 \text{QuantumGroups$\grave{ }$a}^6+18 z^2 \text{QuantumGroups$\grave{ }$a}^6-10 \text{QuantumGroups$\grave{ }$a}^6+3 z^9 \text{QuantumGroups$\grave{ }$a}^5-10 z^7 \text{QuantumGroups$\grave{ }$a}^5+11 z^5 \text{QuantumGroups$\grave{ }$a}^5-13 z^3 \text{QuantumGroups$\grave{ }$a}^5+9 z \text{QuantumGroups$\grave{ }$a}^5+3 z^6 \text{QuantumGroups$\grave{ }$a}^4-6 z^4 \text{QuantumGroups$\grave{ }$a}^4+4 z^2 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^4+2 z^3 \text{QuantumGroups$\grave{ }$a}^3+2 z \text{QuantumGroups$\grave{ }$a}^3+z^2 \text{QuantumGroups$\grave{ }$a}^2}

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