K14a5466

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5466

Polynomial invariants

Jones polynomial	Data:K14a5466/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-30t^{3}+70t^{2}-111t+129-111t^{-1}+70t^{-2}-30t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a5466/Conway Polynomial
Determinant	Data:K14a5466/Determinant
Signature	Data:K14a5466/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+2z^{8}a^{-2}-6z^{8}a^{-4}+2z^{8}a^{-6}+9z^{6}a^{-2}-17z^{6}a^{-4}+9z^{6}a^{-6}-z^{6}a^{-8}-z^{6}+16z^{4}a^{-2}-26z^{4}a^{-4}+16z^{4}a^{-6}-3z^{4}a^{-8}-3z^{4}+14z^{2}a^{-2}-19z^{2}a^{-4}+13z^{2}a^{-6}-3z^{2}a^{-8}-3z^{2}+5a^{-2}-5a^{-4}+3a^{-6}-a^{-8}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +24 z^{12} $Failed^{-1} +15 z^{12} $Failed^{-1} +10 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +54 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} -11 z^{10} $Failed^{-1} -25 z^{10} $Failed^{-1} +37 z^{10} $Failed^{-1} +46 z^{10} $Failed^{-1} +5 z^{10}+\text{QuantumGroups$\grave{ }$a} z^9-37 z^9 $Failed^{-1} -136 z^9 $Failed^{-1} -177 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} +42 z^9 $Failed^{-1} -58 z^8 $Failed^{-1} -142 z^8 $Failed^{-1} -221 z^8 $Failed^{-1} -88 z^8 $Failed^{-1} +28 z^8 $Failed^{-1} -21 z^8-4 \text{QuantumGroups$\grave{ }$a} z^7+42 z^7 $Failed^{-1} +154 z^7 $Failed^{-1} +121 z^7 $Failed^{-1} -74 z^7 $Failed^{-1} -73 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +136 z^6 $Failed^{-1} +282 z^6 $Failed^{-1} +267 z^6 $Failed^{-1} +49 z^6 $Failed^{-1} -34 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +33 z^6+6 \text{QuantumGroups$\grave{ }$a} z^5-9 z^5 $Failed^{-1} -34 z^5 $Failed^{-1} +37 z^5 $Failed^{-1} +113 z^5 $Failed^{-1} +47 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -104 z^4 $Failed^{-1} -183 z^4 $Failed^{-1} -136 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +15 z^4 $Failed^{-1} -z^4 $Failed^{-1} -24 z^4-4 \text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} -23 z^3 $Failed^{-1} -52 z^3 $Failed^{-1} -54 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +34 z^2 $Failed^{-1} +51 z^2 $Failed^{-1} +33 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +8 z^2+\text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +9 z $Failed^{-1} +11 z $Failed^{-1} +8 z $Failed^{-1} +3 z $Failed^{-1} -5 $Failed^{-1} -5 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} -1}

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