K14a6052

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6052

Polynomial invariants

Jones polynomial	Data:K14a6052/Jones Polynomial
Alexander polynomial	$-5t^{3}+37t^{2}-96t+129-96t^{-1}+37t^{-2}-5t^{-3}$
Conway polynomial	Data:K14a6052/Conway Polynomial
Determinant	Data:K14a6052/Determinant
Signature	Data:K14a6052/Signature
HOMFLY-PT polynomial	$a^{14}-4z^{2}a^{12}-4a^{12}+5z^{4}a^{10}+7z^{2}a^{10}+4a^{10}-2z^{6}a^{8}-z^{4}a^{8}-2z^{2}a^{8}-2a^{8}-2z^{6}a^{6}+z^{4}a^{6}+4z^{2}a^{6}+a^{6}-z^{6}a^{4}+z^{4}a^{4}+2z^{2}a^{4}+a^{4}+z^{4}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^8 \text{QuantumGroups$\grave{ }$a}^{16}-4 z^6 \text{QuantumGroups$\grave{ }$a}^{16}+4 z^4 \text{QuantumGroups$\grave{ }$a}^{16}-z^2 \text{QuantumGroups$\grave{ }$a}^{16}+4 z^9 \text{QuantumGroups$\grave{ }$a}^{15}-17 z^7 \text{QuantumGroups$\grave{ }$a}^{15}+22 z^5 \text{QuantumGroups$\grave{ }$a}^{15}-12 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+2 z \text{QuantumGroups$\grave{ }$a}^{15}+7 z^{10} \text{QuantumGroups$\grave{ }$a}^{14}-26 z^8 \text{QuantumGroups$\grave{ }$a}^{14}+26 z^6 \text{QuantumGroups$\grave{ }$a}^{14}-10 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+3 z^2 \text{QuantumGroups$\grave{ }$a}^{14}-\text{QuantumGroups$\grave{ }$a}^{14}+8 z^{11} \text{QuantumGroups$\grave{ }$a}^{13}-22 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-2 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+39 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-35 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+10 z \text{QuantumGroups$\grave{ }$a}^{13}+7 z^{12} \text{QuantumGroups$\grave{ }$a}^{12}-15 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-11 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+43 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-46 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+25 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-4 \text{QuantumGroups$\grave{ }$a}^{12}+3 z^{13} \text{QuantumGroups$\grave{ }$a}^{11}+8 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-58 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+86 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-37 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-14 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+8 z \text{QuantumGroups$\grave{ }$a}^{11}+18 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-61 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+67 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+z^6 \text{QuantumGroups$\grave{ }$a}^{10}-47 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+26 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-4 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^{13} \text{QuantumGroups$\grave{ }$a}^9+18 z^{11} \text{QuantumGroups$\grave{ }$a}^9-95 z^9 \text{QuantumGroups$\grave{ }$a}^9+158 z^7 \text{QuantumGroups$\grave{ }$a}^9-97 z^5 \text{QuantumGroups$\grave{ }$a}^9+14 z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+11 z^{12} \text{QuantumGroups$\grave{ }$a}^8-19 z^{10} \text{QuantumGroups$\grave{ }$a}^8-5 z^8 \text{QuantumGroups$\grave{ }$a}^8+42 z^6 \text{QuantumGroups$\grave{ }$a}^8-31 z^4 \text{QuantumGroups$\grave{ }$a}^8+11 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+18 z^{11} \text{QuantumGroups$\grave{ }$a}^7-45 z^9 \text{QuantumGroups$\grave{ }$a}^7+45 z^7 \text{QuantumGroups$\grave{ }$a}^7-15 z^5 \text{QuantumGroups$\grave{ }$a}^7+z^3 \text{QuantumGroups$\grave{ }$a}^7+z \text{QuantumGroups$\grave{ }$a}^7+20 z^{10} \text{QuantumGroups$\grave{ }$a}^6-44 z^8 \text{QuantumGroups$\grave{ }$a}^6+31 z^6 \text{QuantumGroups$\grave{ }$a}^6-7 z^4 \text{QuantumGroups$\grave{ }$a}^6+4 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+18 z^9 \text{QuantumGroups$\grave{ }$a}^5-37 z^7 \text{QuantumGroups$\grave{ }$a}^5+21 z^5 \text{QuantumGroups$\grave{ }$a}^5-4 z^3 \text{QuantumGroups$\grave{ }$a}^5+12 z^8 \text{QuantumGroups$\grave{ }$a}^4-22 z^6 \text{QuantumGroups$\grave{ }$a}^4+8 z^4 \text{QuantumGroups$\grave{ }$a}^4-2 z^2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^4+5 z^7 \text{QuantumGroups$\grave{ }$a}^3-7 z^5 \text{QuantumGroups$\grave{ }$a}^3+z^6 \text{QuantumGroups$\grave{ }$a}^2-z^4 \text{QuantumGroups$\grave{ }$a}^2}

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