K14a1432

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1432

Polynomial invariants

Jones polynomial	Data:K14a1432/Jones Polynomial
Alexander polynomial	$-3t^{4}+21t^{3}-66t^{2}+123t-149+123t^{-1}-66t^{-2}+21t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1432/Conway Polynomial
Determinant	Data:K14a1432/Determinant
Signature	Data:K14a1432/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-z^{6}a^{-2}-7z^{6}a^{-4}+3z^{6}a^{-6}+2z^{6}-a^{2}z^{4}-11z^{4}a^{-4}+8z^{4}a^{-6}-z^{4}a^{-8}+5z^{4}-2a^{2}z^{2}-2z^{2}a^{-2}-8z^{2}a^{-4}+8z^{2}a^{-6}-2z^{2}a^{-8}+6z^{2}-a^{2}-2a^{-2}-2a^{-4}+3a^{-6}-a^{-8}+4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +8 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +13 z^{11} $Failed^{-1} +36 z^{11} $Failed^{-1} +43 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} +17 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +28 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +12 z^{10}+8 \text{QuantumGroups$\grave{ }$a} z^9-15 z^9 $Failed^{-1} -90 z^9 $Failed^{-1} -105 z^9 $Failed^{-1} -25 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-78 z^8 $Failed^{-1} -132 z^8 $Failed^{-1} -129 z^8 $Failed^{-1} -46 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -20 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-16 \text{QuantumGroups$\grave{ }$a} z^7-2 z^7 $Failed^{-1} +78 z^7 $Failed^{-1} +75 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} -28 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+103 z^6 $Failed^{-1} +200 z^6 $Failed^{-1} +164 z^6 $Failed^{-1} +40 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +6 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+7 \text{QuantumGroups$\grave{ }$a} z^5+7 z^5 $Failed^{-1} -21 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +35 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^4-59 z^4 $Failed^{-1} -128 z^4 $Failed^{-1} -105 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} +7 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} +z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -21 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^2+9 z^2 $Failed^{-1} +36 z^2 $Failed^{-1} +33 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} -z^2 $Failed^{-1} -9 z^2-\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -2 z $Failed^{-1} +z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} -2 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} +4}

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