K14n5592

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5592

Polynomial invariants

Jones polynomial	Data:K14n5592/Jones Polynomial
Alexander polynomial	$-t^{4}+9t^{3}-31t^{2}+56t-65+56t^{-1}-31t^{-2}+9t^{-3}-t^{-4}$
Conway polynomial	Data:K14n5592/Conway Polynomial
Determinant	Data:K14n5592/Determinant
Signature	Data:K14n5592/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-3z^{6}a^{-2}+z^{6}a^{-4}+3z^{6}-3a^{2}z^{4}-3z^{4}a^{-2}+z^{4}a^{-4}+8z^{4}+a^{4}z^{2}-7a^{2}z^{2}-z^{2}a^{-2}-z^{2}a^{-4}+5z^{2}+2a^{4}-3a^{2}+a^{-2}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{12} $Failed^{-1} +2 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+13 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+17 z^{10} $Failed^{-1} +12 z^{10} $Failed^{-1} +10 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-9 \text{QuantumGroups$\grave{ }$a} z^9-30 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-15 \text{QuantumGroups$\grave{ }$a}^2 z^8-60 z^8 $Failed^{-1} -30 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} -44 z^8-12 \text{QuantumGroups$\grave{ }$a}^3 z^7-6 \text{QuantumGroups$\grave{ }$a} z^7+21 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} -11 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6+8 \text{QuantumGroups$\grave{ }$a}^2 z^6+70 z^6 $Failed^{-1} +49 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +42 z^6+16 \text{QuantumGroups$\grave{ }$a}^3 z^5+8 \text{QuantumGroups$\grave{ }$a} z^5-33 z^5 $Failed^{-1} -14 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} +6 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^4+11 \text{QuantumGroups$\grave{ }$a}^2 z^4-57 z^4 $Failed^{-1} -43 z^4 $Failed^{-1} -5 z^4 $Failed^{-1} +z^4 $Failed^{-1} -18 z^4-8 \text{QuantumGroups$\grave{ }$a}^3 z^3+7 \text{QuantumGroups$\grave{ }$a} z^3+34 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^4 z^2-12 \text{QuantumGroups$\grave{ }$a}^2 z^2+22 z^2 $Failed^{-1} +14 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +5 z^2+\text{QuantumGroups$\grave{ }$a}^3 z-5 \text{QuantumGroups$\grave{ }$a} z-11 z $Failed^{-1} -6 z $Failed^{-1} -z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} +1}

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.