K14a646

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a646

Polynomial invariants

Jones polynomial	Data:K14a646/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+32t^{3}-80t^{2}+136t-161+136t^{-1}-80t^{-2}+32t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a646/Conway Polynomial
Determinant	Data:K14a646/Determinant
Signature	Data:K14a646/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-3z^{8}a^{-4}-z^{8}+18z^{6}a^{-2}-14z^{6}a^{-4}+3z^{6}a^{-6}-4z^{6}+30z^{4}a^{-2}-29z^{4}a^{-4}+10z^{4}a^{-6}-z^{4}a^{-8}-8z^{4}+28z^{2}a^{-2}-30z^{2}a^{-4}+13z^{2}a^{-6}-2z^{2}a^{-8}-8z^{2}+12a^{-2}-13a^{-4}+6a^{-6}-a^{-8}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +11 z^{12} $Failed^{-1} +20 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +23 z^{11} $Failed^{-1} +55 z^{11} $Failed^{-1} +49 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +46 z^{10} $Failed^{-1} +47 z^{10} $Failed^{-1} +43 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} +24 z^{10}+14 \text{QuantumGroups$\grave{ }$a} z^9-20 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -75 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-172 z^8 $Failed^{-1} -222 z^8 $Failed^{-1} -139 z^8 $Failed^{-1} -28 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -51 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-29 \text{QuantumGroups$\grave{ }$a} z^7-40 z^7 $Failed^{-1} -12 z^7 $Failed^{-1} -43 z^7 $Failed^{-1} -67 z^7 $Failed^{-1} -25 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^2 z^6+204 z^6 $Failed^{-1} +262 z^6 $Failed^{-1} +137 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +51 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+27 \text{QuantumGroups$\grave{ }$a} z^5+75 z^5 $Failed^{-1} +112 z^5 $Failed^{-1} +138 z^5 $Failed^{-1} +96 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^4-134 z^4 $Failed^{-1} -156 z^4 $Failed^{-1} -61 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -35 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-15 \text{QuantumGroups$\grave{ }$a} z^3-52 z^3 $Failed^{-1} -90 z^3 $Failed^{-1} -99 z^3 $Failed^{-1} -57 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^2+54 z^2 $Failed^{-1} +58 z^2 $Failed^{-1} +19 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +16 z^2+4 \text{QuantumGroups$\grave{ }$a} z+14 z $Failed^{-1} +26 z $Failed^{-1} +28 z $Failed^{-1} +15 z $Failed^{-1} +3 z $Failed^{-1} -12 $Failed^{-1} -13 $Failed^{-1} -6 $Failed^{-1} - $Failed^{-1} -3}

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