K14a1649

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1649

Polynomial invariants

Jones polynomial	Data:K14a1649/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+25t^{3}-58t^{2}+93t-107+93t^{-1}-58t^{-2}+25t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a1649/Conway Polynomial
Determinant	Data:K14a1649/Determinant
Signature	Data:K14a1649/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+7z^{8}a^{-2}-2z^{8}a^{-4}-2z^{8}+a^{2}z^{6}+23z^{6}a^{-2}-10z^{6}a^{-4}+z^{6}a^{-6}-11z^{6}+4a^{2}z^{4}+40z^{4}a^{-2}-20z^{4}a^{-4}+3z^{4}a^{-6}-25z^{4}+6a^{2}z^{2}+35z^{2}a^{-2}-18z^{2}a^{-4}+3z^{2}a^{-6}-27z^{2}+4a^{2}+13a^{-2}-6a^{-4}+a^{-6}-11$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +11 z^{12} $Failed^{-1} +6 z^{12} $Failed^{-1} +5 z^{12}+9 \text{QuantumGroups$\grave{ }$a} z^{11}+27 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +36 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +12 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^3 z^9-22 \text{QuantumGroups$\grave{ }$a} z^9-85 z^9 $Failed^{-1} -77 z^9 $Failed^{-1} +z^9 $Failed^{-1} +19 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-28 \text{QuantumGroups$\grave{ }$a}^2 z^8-152 z^8 $Failed^{-1} -137 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +12 z^8 $Failed^{-1} -87 z^8-15 \text{QuantumGroups$\grave{ }$a}^3 z^7+9 \text{QuantumGroups$\grave{ }$a} z^7+86 z^7 $Failed^{-1} +34 z^7 $Failed^{-1} -65 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^4 z^6+34 \text{QuantumGroups$\grave{ }$a}^2 z^6+261 z^6 $Failed^{-1} +181 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +z^6 $Failed^{-1} +148 z^6+18 \text{QuantumGroups$\grave{ }$a}^3 z^5+5 \text{QuantumGroups$\grave{ }$a} z^5-34 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} +90 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^4-23 \text{QuantumGroups$\grave{ }$a}^2 z^4-212 z^4 $Failed^{-1} -118 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} -130 z^4-8 \text{QuantumGroups$\grave{ }$a}^3 z^3-2 \text{QuantumGroups$\grave{ }$a} z^3-z^3 $Failed^{-1} -43 z^3 $Failed^{-1} -45 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2+13 \text{QuantumGroups$\grave{ }$a}^2 z^2+83 z^2 $Failed^{-1} +41 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +61 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+2 z $Failed^{-1} +9 z $Failed^{-1} +8 z $Failed^{-1} +2 z $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2-13 $Failed^{-1} -6 $Failed^{-1} - $Failed^{-1} -11}

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