K14a7107

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7107

Polynomial invariants

Jones polynomial	Data:K14a7107/Jones Polynomial
Alexander polynomial	$-12t^{2}+42t-59+42t^{-1}-12t^{-2}$
Conway polynomial	Data:K14a7107/Conway Polynomial
Determinant	Data:K14a7107/Determinant
Signature	Data:K14a7107/Signature
HOMFLY-PT polynomial	$-3z^{4}a^{-2}-4z^{4}a^{-4}-3z^{4}a^{-6}-z^{4}a^{-8}-z^{4}+a^{2}z^{2}-3z^{2}a^{-2}-4z^{2}a^{-4}-2z^{2}a^{-6}+z^{2}a^{-8}+z^{2}a^{-10}+a^{2}-a^{-2}-a^{-4}+a^{-8}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +2 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +3 z^{12} $Failed^{-1} +3 z^{11} $Failed^{-1} -z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +3 z^{10} $Failed^{-1} -6 z^{10} $Failed^{-1} -27 z^{10} $Failed^{-1} -14 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +3 z^9 $Failed^{-1} -12 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} -16 z^9 $Failed^{-1} -18 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} -8 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} +60 z^8 $Failed^{-1} +27 z^8 $Failed^{-1} -18 z^8 $Failed^{-1} +z^8 $Failed^{-1} +3 z^8+2 \text{QuantumGroups$\grave{ }$a} z^7-7 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} +37 z^7 $Failed^{-1} +43 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+7 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} -59 z^6 $Failed^{-1} -35 z^6 $Failed^{-1} +21 z^6 $Failed^{-1} -5 z^6 $Failed^{-1} -9 z^6-6 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} -31 z^5 $Failed^{-1} -44 z^5 $Failed^{-1} -47 z^5 $Failed^{-1} -22 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^4+3 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} +19 z^4 $Failed^{-1} +23 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +8 z^4+3 \text{QuantumGroups$\grave{ }$a} z^3+2 z^3 $Failed^{-1} +28 z^3 $Failed^{-1} +23 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} +13 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} +14 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} +z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -5 z^2-2 z $Failed^{-1} -8 z $Failed^{-1} -6 z $Failed^{-1} -2 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} - $Failed^{-1} + $Failed^{-1} +1}

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