K14a2204

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2204

Polynomial invariants

Jones polynomial	Data:K14a2204/Jones Polynomial
Alexander polynomial	$2t^{4}-18t^{3}+67t^{2}-135t+169-135t^{-1}+67t^{-2}-18t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a2204/Conway Polynomial
Determinant	Data:K14a2204/Determinant
Signature	Data:K14a2204/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}+3z^{4}a^{10}+2z^{2}a^{10}-a^{10}-3z^{6}a^{8}-3z^{4}a^{8}+2z^{2}a^{8}+2a^{8}+z^{8}a^{6}-3z^{4}a^{6}-4z^{2}a^{6}-2a^{6}+z^{8}a^{4}+2z^{6}a^{4}+3z^{4}a^{4}+3z^{2}a^{4}+a^{4}-z^{6}a^{2}-z^{4}a^{2}+z^{2}a^{2}+a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-2 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+z^3 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-11 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+7 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-z^2 \text{QuantumGroups$\grave{ }$a}^{14}+12 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-27 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+21 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-8 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+18 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-37 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+27 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-11 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+17 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-17 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-21 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+37 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-17 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+9 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+26 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-102 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+109 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-44 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+\text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+40 z^{11} \text{QuantumGroups$\grave{ }$a}^9-80 z^9 \text{QuantumGroups$\grave{ }$a}^9+27 z^7 \text{QuantumGroups$\grave{ }$a}^9+31 z^5 \text{QuantumGroups$\grave{ }$a}^9-17 z^3 \text{QuantumGroups$\grave{ }$a}^9+2 z \text{QuantumGroups$\grave{ }$a}^9+18 z^{12} \text{QuantumGroups$\grave{ }$a}^8+21 z^{10} \text{QuantumGroups$\grave{ }$a}^8-128 z^8 \text{QuantumGroups$\grave{ }$a}^8+132 z^6 \text{QuantumGroups$\grave{ }$a}^8-41 z^4 \text{QuantumGroups$\grave{ }$a}^8-z^2 \text{QuantumGroups$\grave{ }$a}^8+2 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+41 z^{11} \text{QuantumGroups$\grave{ }$a}^7-71 z^9 \text{QuantumGroups$\grave{ }$a}^7-3 z^7 \text{QuantumGroups$\grave{ }$a}^7+50 z^5 \text{QuantumGroups$\grave{ }$a}^7-22 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z \text{QuantumGroups$\grave{ }$a}^7+9 z^{12} \text{QuantumGroups$\grave{ }$a}^6+34 z^{10} \text{QuantumGroups$\grave{ }$a}^6-109 z^8 \text{QuantumGroups$\grave{ }$a}^6+80 z^6 \text{QuantumGroups$\grave{ }$a}^6-13 z^4 \text{QuantumGroups$\grave{ }$a}^6-7 z^2 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^6+18 z^{11} \text{QuantumGroups$\grave{ }$a}^5-5 z^9 \text{QuantumGroups$\grave{ }$a}^5-55 z^7 \text{QuantumGroups$\grave{ }$a}^5+55 z^5 \text{QuantumGroups$\grave{ }$a}^5-17 z^3 \text{QuantumGroups$\grave{ }$a}^5+21 z^{10} \text{QuantumGroups$\grave{ }$a}^4-35 z^8 \text{QuantumGroups$\grave{ }$a}^4+8 z^6 \text{QuantumGroups$\grave{ }$a}^4+8 z^4 \text{QuantumGroups$\grave{ }$a}^4-4 z^2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^4+15 z^9 \text{QuantumGroups$\grave{ }$a}^3-31 z^7 \text{QuantumGroups$\grave{ }$a}^3+21 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+6 z^8 \text{QuantumGroups$\grave{ }$a}^2-11 z^6 \text{QuantumGroups$\grave{ }$a}^2+6 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^2 \text{QuantumGroups$\grave{ }$a}^2-\text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-z^5 \text{QuantumGroups$\grave{ }$a}}

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