K14a13841

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13841

Polynomial invariants

Jones polynomial	Data:K14a13841/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+32t^{3}-77t^{2}+128t-151+128t^{-1}-77t^{-2}+32t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a13841/Conway Polynomial
Determinant	Data:K14a13841/Determinant
Signature	Data:K14a13841/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-3z^{8}a^{-4}-z^{8}+18z^{6}a^{-2}-14z^{6}a^{-4}+3z^{6}a^{-6}-4z^{6}+30z^{4}a^{-2}-27z^{4}a^{-4}+11z^{4}a^{-6}-z^{4}a^{-8}-8z^{4}+26z^{2}a^{-2}-24z^{2}a^{-4}+14z^{2}a^{-6}-3z^{2}a^{-8}-8z^{2}+9a^{-2}-8a^{-4}+5a^{-6}-2a^{-8}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +16 z^{12} $Failed^{-1} +29 z^{12} $Failed^{-1} +13 z^{12} $Failed^{-1} +27 z^{11} $Failed^{-1} +49 z^{11} $Failed^{-1} +40 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} +10 z^{10} $Failed^{-1} -29 z^{10} $Failed^{-1} +z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} +25 z^{10}+14 \text{QuantumGroups$\grave{ }$a} z^9-50 z^9 $Failed^{-1} -146 z^9 $Failed^{-1} -124 z^9 $Failed^{-1} -33 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-106 z^8 $Failed^{-1} -63 z^8 $Failed^{-1} -55 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -58 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-29 \text{QuantumGroups$\grave{ }$a} z^7+24 z^7 $Failed^{-1} +159 z^7 $Failed^{-1} +153 z^7 $Failed^{-1} +28 z^7 $Failed^{-1} -19 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^2 z^6+157 z^6 $Failed^{-1} +145 z^6 $Failed^{-1} +94 z^6 $Failed^{-1} +28 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +59 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+23 \text{QuantumGroups$\grave{ }$a} z^5+5 z^5 $Failed^{-1} -89 z^5 $Failed^{-1} -98 z^5 $Failed^{-1} -13 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^4-121 z^4 $Failed^{-1} -124 z^4 $Failed^{-1} -73 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -41 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-11 \text{QuantumGroups$\grave{ }$a} z^3-15 z^3 $Failed^{-1} +22 z^3 $Failed^{-1} +34 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +49 z^2 $Failed^{-1} +53 z^2 $Failed^{-1} +29 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +16 z^2+3 \text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} -5 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} -z $Failed^{-1} -9 $Failed^{-1} -8 $Failed^{-1} -5 $Failed^{-1} -2 $Failed^{-1} -3}

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