K14a2032

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2032

Polynomial invariants

Jones polynomial	Data:K14a2032/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+53t^{2}-91t+107-91t^{-1}+53t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a2032/Conway Polynomial
Determinant	Data:K14a2032/Determinant
Signature	Data:K14a2032/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+z^{2}a^{10}-a^{10}-2z^{6}a^{8}-3z^{4}a^{8}+2z^{2}a^{8}+2a^{8}+z^{8}a^{6}+z^{6}a^{6}-3z^{4}a^{6}-3z^{2}a^{6}-a^{6}+z^{8}a^{4}+2z^{6}a^{4}+z^{4}a^{4}+2z^{2}a^{4}+a^{4}-2z^{6}a^{2}-6z^{4}a^{2}-5z^{2}a^{2}-2a^{2}+z^{4}+3z^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^6 \text{QuantumGroups$\grave{ }$a}^{14}-z^4 \text{QuantumGroups$\grave{ }$a}^{14}+5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+12 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-19 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+11 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+18 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-27 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+12 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-z \text{QuantumGroups$\grave{ }$a}^{11}+18 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-17 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-11 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+17 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-7 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+12 z^{11} \text{QuantumGroups$\grave{ }$a}^9+7 z^9 \text{QuantumGroups$\grave{ }$a}^9-47 z^7 \text{QuantumGroups$\grave{ }$a}^9+38 z^5 \text{QuantumGroups$\grave{ }$a}^9-10 z^3 \text{QuantumGroups$\grave{ }$a}^9+5 z^{12} \text{QuantumGroups$\grave{ }$a}^8+23 z^{10} \text{QuantumGroups$\grave{ }$a}^8-55 z^8 \text{QuantumGroups$\grave{ }$a}^8+25 z^6 \text{QuantumGroups$\grave{ }$a}^8+7 z^4 \text{QuantumGroups$\grave{ }$a}^8-8 z^2 \text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+20 z^{11} \text{QuantumGroups$\grave{ }$a}^7-24 z^9 \text{QuantumGroups$\grave{ }$a}^7-26 z^7 \text{QuantumGroups$\grave{ }$a}^7+44 z^5 \text{QuantumGroups$\grave{ }$a}^7-18 z^3 \text{QuantumGroups$\grave{ }$a}^7+z \text{QuantumGroups$\grave{ }$a}^7+8 z^{12} \text{QuantumGroups$\grave{ }$a}^6+9 z^{10} \text{QuantumGroups$\grave{ }$a}^6-53 z^8 \text{QuantumGroups$\grave{ }$a}^6+47 z^6 \text{QuantumGroups$\grave{ }$a}^6-13 z^4 \text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^6+z^{13} \text{QuantumGroups$\grave{ }$a}^5+13 z^{11} \text{QuantumGroups$\grave{ }$a}^5-22 z^9 \text{QuantumGroups$\grave{ }$a}^5-15 z^7 \text{QuantumGroups$\grave{ }$a}^5+37 z^5 \text{QuantumGroups$\grave{ }$a}^5-14 z^3 \text{QuantumGroups$\grave{ }$a}^5-z \text{QuantumGroups$\grave{ }$a}^5+3 z^{12} \text{QuantumGroups$\grave{ }$a}^4+9 z^{10} \text{QuantumGroups$\grave{ }$a}^4-43 z^8 \text{QuantumGroups$\grave{ }$a}^4+46 z^6 \text{QuantumGroups$\grave{ }$a}^4-18 z^4 \text{QuantumGroups$\grave{ }$a}^4+2 z^2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^4+5 z^{11} \text{QuantumGroups$\grave{ }$a}^3-6 z^9 \text{QuantumGroups$\grave{ }$a}^3-16 z^7 \text{QuantumGroups$\grave{ }$a}^3+28 z^5 \text{QuantumGroups$\grave{ }$a}^3-11 z^3 \text{QuantumGroups$\grave{ }$a}^3+5 z^{10} \text{QuantumGroups$\grave{ }$a}^2-15 z^8 \text{QuantumGroups$\grave{ }$a}^2+10 z^6 \text{QuantumGroups$\grave{ }$a}^2+6 z^4 \text{QuantumGroups$\grave{ }$a}^2-8 z^2 \text{QuantumGroups$\grave{ }$a}^2+2 \text{QuantumGroups$\grave{ }$a}^2+3 z^9 \text{QuantumGroups$\grave{ }$a}-12 z^7 \text{QuantumGroups$\grave{ }$a}+16 z^5 \text{QuantumGroups$\grave{ }$a}-8 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+z^8-5 z^6+9 z^4-7 z^2+2}

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