K14a17615

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17615

Polynomial invariants

Jones polynomial	Data:K14a17615/Jones Polynomial
Alexander polynomial	$4t^{3}-30t^{2}+82t-111+82t^{-1}-30t^{-2}+4t^{-3}$
Conway polynomial	Data:K14a17615/Conway Polynomial
Determinant	Data:K14a17615/Determinant
Signature	Data:K14a17615/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+2z^{6}a^{-4}+z^{6}a^{-6}-2z^{4}a^{-2}+z^{4}a^{-4}-z^{4}a^{-6}-2z^{4}a^{-8}-2z^{4}+a^{2}z^{2}-2z^{2}a^{-2}+z^{2}a^{-4}-z^{2}a^{-6}-2z^{2}a^{-8}+z^{2}a^{-10}+a^{-4}-a^{-6}-a^{-8}+a^{-10}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +6 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +6 z^{12} $Failed^{-1} +10 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +12 z^{10} $Failed^{-1} -3 z^{10} $Failed^{-1} -40 z^{10} $Failed^{-1} -19 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +11 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} -44 z^9 $Failed^{-1} -58 z^9 $Failed^{-1} -37 z^9 $Failed^{-1} +3 z^9 $Failed^{-1} -21 z^8 $Failed^{-1} -17 z^8 $Failed^{-1} +55 z^8 $Failed^{-1} +15 z^8 $Failed^{-1} -27 z^8 $Failed^{-1} +z^8 $Failed^{-1} +8 z^8+4 \text{QuantumGroups$\grave{ }$a} z^7-19 z^7 $Failed^{-1} +z^7 $Failed^{-1} +68 z^7 $Failed^{-1} +128 z^7 $Failed^{-1} +71 z^7 $Failed^{-1} -13 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+12 z^6 $Failed^{-1} +28 z^6 $Failed^{-1} -32 z^6 $Failed^{-1} +15 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -5 z^6 $Failed^{-1} -15 z^6-8 \text{QuantumGroups$\grave{ }$a} z^5+10 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} -52 z^5 $Failed^{-1} -144 z^5 $Failed^{-1} -79 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^4-7 z^4 $Failed^{-1} +z^4 $Failed^{-1} -41 z^4 $Failed^{-1} -32 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +8 z^4+4 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +31 z^3 $Failed^{-1} +77 z^3 $Failed^{-1} +43 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} +12 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -3 z^2+z $Failed^{-1} +z $Failed^{-1} -9 z $Failed^{-1} -19 z $Failed^{-1} -10 z $Failed^{-1} + $Failed^{-1} + $Failed^{-1} - $Failed^{-1} - $Failed^{-1} +1}

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