K14a5629

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5629

Polynomial invariants

Jones polynomial	Data:K14a5629/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+61t^{2}-118t+145-118t^{-1}+61t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a5629/Conway Polynomial
Determinant	Data:K14a5629/Determinant
Signature	Data:K14a5629/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+3z^{4}a^{10}+4z^{2}a^{10}+a^{10}-3z^{6}a^{8}-4z^{4}a^{8}+z^{2}a^{8}+a^{8}+z^{8}a^{6}-5z^{4}a^{6}-7z^{2}a^{6}-3a^{6}+z^{8}a^{4}+3z^{6}a^{4}+7z^{4}a^{4}+9z^{2}a^{4}+3a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+4 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-10 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+9 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-20 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+15 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-30 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+28 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-19 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+14 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-19 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+2 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-6 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+z \text{QuantumGroups$\grave{ }$a}^{11}+8 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-65 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+80 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-49 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+13 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+30 z^{11} \text{QuantumGroups$\grave{ }$a}^9-68 z^9 \text{QuantumGroups$\grave{ }$a}^9+52 z^7 \text{QuantumGroups$\grave{ }$a}^9-17 z^5 \text{QuantumGroups$\grave{ }$a}^9+2 z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+16 z^{12} \text{QuantumGroups$\grave{ }$a}^8+2 z^{10} \text{QuantumGroups$\grave{ }$a}^8-63 z^8 \text{QuantumGroups$\grave{ }$a}^8+69 z^6 \text{QuantumGroups$\grave{ }$a}^8-23 z^4 \text{QuantumGroups$\grave{ }$a}^8+z^2 \text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+30 z^{11} \text{QuantumGroups$\grave{ }$a}^7-59 z^9 \text{QuantumGroups$\grave{ }$a}^7+20 z^7 \text{QuantumGroups$\grave{ }$a}^7+19 z^5 \text{QuantumGroups$\grave{ }$a}^7-15 z^3 \text{QuantumGroups$\grave{ }$a}^7+4 z \text{QuantumGroups$\grave{ }$a}^7+8 z^{12} \text{QuantumGroups$\grave{ }$a}^6+17 z^{10} \text{QuantumGroups$\grave{ }$a}^6-60 z^8 \text{QuantumGroups$\grave{ }$a}^6+34 z^6 \text{QuantumGroups$\grave{ }$a}^6+14 z^4 \text{QuantumGroups$\grave{ }$a}^6-16 z^2 \text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^6+14 z^{11} \text{QuantumGroups$\grave{ }$a}^5-8 z^9 \text{QuantumGroups$\grave{ }$a}^5-34 z^7 \text{QuantumGroups$\grave{ }$a}^5+44 z^5 \text{QuantumGroups$\grave{ }$a}^5-21 z^3 \text{QuantumGroups$\grave{ }$a}^5+3 z \text{QuantumGroups$\grave{ }$a}^5+15 z^{10} \text{QuantumGroups$\grave{ }$a}^4-23 z^8 \text{QuantumGroups$\grave{ }$a}^4-5 z^6 \text{QuantumGroups$\grave{ }$a}^4+25 z^4 \text{QuantumGroups$\grave{ }$a}^4-16 z^2 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^4+11 z^9 \text{QuantumGroups$\grave{ }$a}^3-24 z^7 \text{QuantumGroups$\grave{ }$a}^3+17 z^5 \text{QuantumGroups$\grave{ }$a}^3-5 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-12 z^6 \text{QuantumGroups$\grave{ }$a}^2+10 z^4 \text{QuantumGroups$\grave{ }$a}^2-3 z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}}

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