K14n12276

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12276

Polynomial invariants

Jones polynomial	Data:K14n12276/Jones Polynomial
Alexander polynomial	$-t^{4}+4t^{3}-5t^{2}+5-5t^{-2}+4t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12276/Conway Polynomial
Determinant	Data:K14n12276/Determinant
Signature	Data:K14n12276/Signature
HOMFLY-PT polynomial	$-z^{8}+2a^{2}z^{6}-6z^{6}-a^{4}z^{4}+9a^{2}z^{4}+z^{4}a^{-2}+z^{4}a^{-4}-11z^{4}-3a^{4}z^{2}+10a^{2}z^{2}+z^{2}a^{-2}+z^{2}a^{-4}-9z^{2}-a^{4}+3a^{2}+a^{-2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^2 z^{12}+z^{12}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+2 z^{11} $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+z^{10} $Failed^{-1} -2 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-17 \text{QuantumGroups$\grave{ }$a}^3 z^9-32 \text{QuantumGroups$\grave{ }$a} z^9-13 z^9 $Failed^{-1} +z^9 $Failed^{-1} -19 \text{QuantumGroups$\grave{ }$a}^4 z^8-30 \text{QuantumGroups$\grave{ }$a}^2 z^8-6 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} -20 z^8-6 \text{QuantumGroups$\grave{ }$a}^5 z^7+25 \text{QuantumGroups$\grave{ }$a}^3 z^7+57 \text{QuantumGroups$\grave{ }$a} z^7+20 z^7 $Failed^{-1} -3 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +38 \text{QuantumGroups$\grave{ }$a}^4 z^6+76 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +z^6 $Failed^{-1} +54 z^6+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5-38 \text{QuantumGroups$\grave{ }$a} z^5-15 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} -11 z^5 $Failed^{-1} -30 \text{QuantumGroups$\grave{ }$a}^4 z^4-66 \text{QuantumGroups$\grave{ }$a}^2 z^4+3 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -44 z^4-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-3 \text{QuantumGroups$\grave{ }$a}^3 z^3+13 \text{QuantumGroups$\grave{ }$a} z^3+12 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^2+23 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +z^2 $Failed^{-1} +16 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -3 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -2}

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