K14n12250

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12250

Polynomial invariants

Jones polynomial	Data:K14n12250/Jones Polynomial
Alexander polynomial	$-t^{4}+4t^{3}-5t^{2}-2t+9-2t^{-1}-5t^{-2}+4t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12250/Conway Polynomial
Determinant	Data:K14n12250/Determinant
Signature	Data:K14n12250/Signature
HOMFLY-PT polynomial	$-z^{8}+2a^{2}z^{6}-6z^{6}-a^{4}z^{4}+9a^{2}z^{4}+z^{4}a^{-2}+z^{4}a^{-4}-11z^{4}-3a^{4}z^{2}+10a^{2}z^{2}+z^{2}a^{-4}-10z^{2}-a^{4}+4a^{2}+a^{-4}-3$
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{ }$a}^4 z^8-31 \text{QuantumGroups$\grave{ }$a}^2 z^8-6 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} -21 z^8-6 \text{QuantumGroups$\grave{ }$a}^5 z^7+24 \text{QuantumGroups$\grave{ }$a}^3 z^7+54 \text{QuantumGroups$\grave{ }$a} z^7+19 z^7 $Failed^{-1} -2 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +38 \text{QuantumGroups$\grave{ }$a}^4 z^6+79 \text{QuantumGroups$\grave{ }$a}^2 z^6+5 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +z^6 $Failed^{-1} +57 z^6+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-5 \text{QuantumGroups$\grave{ }$a}^3 z^5-29 \text{QuantumGroups$\grave{ }$a} z^5-10 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} -31 \text{QuantumGroups$\grave{ }$a}^4 z^4-70 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} -47 z^4-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-6 \text{QuantumGroups$\grave{ }$a}^3 z^3+8 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^4 z^2+27 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +20 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} -3}

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