K14a2100

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2100

Polynomial invariants

Jones polynomial	Data:K14a2100/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-27t^{3}+58t^{2}-91t+107-91t^{-1}+58t^{-2}-27t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2100/Conway Polynomial
Determinant	Data:K14a2100/Determinant
Signature	Data:K14a2100/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-6z^{8}-a^{4}z^{6}+10a^{2}z^{6}+10z^{6}a^{-2}-z^{6}a^{-4}-16z^{6}-4a^{4}z^{4}+19a^{2}z^{4}+19z^{4}a^{-2}-4z^{4}a^{-4}-24z^{4}-5a^{4}z^{2}+15a^{2}z^{2}+16z^{2}a^{-2}-5z^{2}a^{-4}-20z^{2}-a^{4}+4a^{2}+6a^{-2}-2a^{-4}-6$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 z^{12} $Failed^{-1} +15 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+26 \text{QuantumGroups$\grave{ }$a} z^{11}+23 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} -13 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-29 \text{QuantumGroups$\grave{ }$a}^3 z^9-82 \text{QuantumGroups$\grave{ }$a} z^9-66 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-38 \text{QuantumGroups$\grave{ }$a}^4 z^8-64 \text{QuantumGroups$\grave{ }$a}^2 z^8-40 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -38 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-24 \text{QuantumGroups$\grave{ }$a}^5 z^7+17 \text{QuantumGroups$\grave{ }$a}^3 z^7+105 \text{QuantumGroups$\grave{ }$a} z^7+83 z^7 $Failed^{-1} +z^7 $Failed^{-1} -18 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+42 \text{QuantumGroups$\grave{ }$a}^4 z^6+112 \text{QuantumGroups$\grave{ }$a}^2 z^6+58 z^6 $Failed^{-1} +9 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +97 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+21 \text{QuantumGroups$\grave{ }$a}^5 z^5+6 \text{QuantumGroups$\grave{ }$a}^3 z^5-61 \text{QuantumGroups$\grave{ }$a} z^5-59 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-27 \text{QuantumGroups$\grave{ }$a}^4 z^4-85 \text{QuantumGroups$\grave{ }$a}^2 z^4-54 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} -90 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-10 \text{QuantumGroups$\grave{ }$a}^5 z^3-11 \text{QuantumGroups$\grave{ }$a}^3 z^3+13 \text{QuantumGroups$\grave{ }$a} z^3+19 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+8 \text{QuantumGroups$\grave{ }$a}^4 z^2+29 \text{QuantumGroups$\grave{ }$a}^2 z^2+27 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +37 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} -2 $Failed^{-1} -6}

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