K14a783

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a783

Polynomial invariants

Jones polynomial	Data:K14a783/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+60t^{2}-114t+139-114t^{-1}+60t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a783/Conway Polynomial
Determinant	Data:K14a783/Determinant
Signature	Data:K14a783/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+3z^{4}a^{10}+5z^{2}a^{10}+2a^{10}-3z^{6}a^{8}-6z^{4}a^{8}-4z^{2}a^{8}-2a^{8}+z^{8}a^{6}+z^{6}a^{6}+z^{2}a^{6}+z^{8}a^{4}+2z^{6}a^{4}+2z^{4}a^{4}+3z^{2}a^{4}+2a^{4}-z^{6}a^{2}-z^{4}a^{2}+z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+2 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+4 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}+9 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-25 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+23 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-14 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+4 z \text{QuantumGroups$\grave{ }$a}^{13}+14 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-40 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+47 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-34 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+14 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-29 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+11 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+23 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-26 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+6 z \text{QuantumGroups$\grave{ }$a}^{11}+8 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+10 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-85 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+146 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-98 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+26 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+31 z^{11} \text{QuantumGroups$\grave{ }$a}^9-97 z^9 \text{QuantumGroups$\grave{ }$a}^9+105 z^7 \text{QuantumGroups$\grave{ }$a}^9-26 z^5 \text{QuantumGroups$\grave{ }$a}^9-9 z^3 \text{QuantumGroups$\grave{ }$a}^9+5 z \text{QuantumGroups$\grave{ }$a}^9+17 z^{12} \text{QuantumGroups$\grave{ }$a}^8-5 z^{10} \text{QuantumGroups$\grave{ }$a}^8-88 z^8 \text{QuantumGroups$\grave{ }$a}^8+160 z^6 \text{QuantumGroups$\grave{ }$a}^8-98 z^4 \text{QuantumGroups$\grave{ }$a}^8+25 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+35 z^{11} \text{QuantumGroups$\grave{ }$a}^7-95 z^9 \text{QuantumGroups$\grave{ }$a}^7+79 z^7 \text{QuantumGroups$\grave{ }$a}^7-13 z^5 \text{QuantumGroups$\grave{ }$a}^7-8 z^3 \text{QuantumGroups$\grave{ }$a}^7+3 z \text{QuantumGroups$\grave{ }$a}^7+9 z^{12} \text{QuantumGroups$\grave{ }$a}^6+20 z^{10} \text{QuantumGroups$\grave{ }$a}^6-97 z^8 \text{QuantumGroups$\grave{ }$a}^6+104 z^6 \text{QuantumGroups$\grave{ }$a}^6-46 z^4 \text{QuantumGroups$\grave{ }$a}^6+5 z^2 \text{QuantumGroups$\grave{ }$a}^6+18 z^{11} \text{QuantumGroups$\grave{ }$a}^5-21 z^9 \text{QuantumGroups$\grave{ }$a}^5-23 z^7 \text{QuantumGroups$\grave{ }$a}^5+29 z^5 \text{QuantumGroups$\grave{ }$a}^5-10 z^3 \text{QuantumGroups$\grave{ }$a}^5+21 z^{10} \text{QuantumGroups$\grave{ }$a}^4-44 z^8 \text{QuantumGroups$\grave{ }$a}^4+21 z^6 \text{QuantumGroups$\grave{ }$a}^4-z^4 \text{QuantumGroups$\grave{ }$a}^4-4 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+15 z^9 \text{QuantumGroups$\grave{ }$a}^3-33 z^7 \text{QuantumGroups$\grave{ }$a}^3+18 z^5 \text{QuantumGroups$\grave{ }$a}^3-z^3 \text{QuantumGroups$\grave{ }$a}^3+6 z^8 \text{QuantumGroups$\grave{ }$a}^2-11 z^6 \text{QuantumGroups$\grave{ }$a}^2+4 z^4 \text{QuantumGroups$\grave{ }$a}^2+z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-z^5 \text{QuantumGroups$\grave{ }$a}}

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