K14n6375

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6375

Polynomial invariants

Jones polynomial	Data:K14n6375/Jones Polynomial
Alexander polynomial	$-2t^{4}+13t^{3}-34t^{2}+55t-63+55t^{-1}-34t^{-2}+13t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n6375/Conway Polynomial
Determinant	Data:K14n6375/Determinant
Signature	Data:K14n6375/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-2z^{6}a^{-2}-4z^{6}a^{-4}+z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+3z^{4}a^{-2}-7z^{4}a^{-4}+4z^{4}a^{-6}+5z^{4}-2a^{2}z^{2}+9z^{2}a^{-2}-8z^{2}a^{-4}+5z^{2}a^{-6}-z^{2}a^{-8}+z^{2}+6a^{-2}-4a^{-4}+2a^{-6}-a^{-8}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12} $Failed^{-1} +6 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +14 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +9 z^{10}+8 \text{QuantumGroups$\grave{ }$a} z^9-2 z^9 $Failed^{-1} -29 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-52 z^8 $Failed^{-1} -55 z^8 $Failed^{-1} -27 z^8 $Failed^{-1} +z^8 $Failed^{-1} -21 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-24 \text{QuantumGroups$\grave{ }$a} z^7-28 z^7 $Failed^{-1} +25 z^7 $Failed^{-1} +21 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6+69 z^6 $Failed^{-1} +96 z^6 $Failed^{-1} +56 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} +11 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+23 \text{QuantumGroups$\grave{ }$a} z^5+38 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^4-55 z^4 $Failed^{-1} -83 z^4 $Failed^{-1} -54 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} -3 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-11 \text{QuantumGroups$\grave{ }$a} z^3-20 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^2+28 z^2 $Failed^{-1} +33 z^2 $Failed^{-1} +19 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +4 z^2+2 \text{QuantumGroups$\grave{ }$a} z+4 z $Failed^{-1} +3 z $Failed^{-1} +z $Failed^{-1} +3 z $Failed^{-1} +3 z $Failed^{-1} -6 $Failed^{-1} -4 $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} -2}

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