K14n12374

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12374

Polynomial invariants

Jones polynomial	Data:K14n12374/Jones Polynomial
Alexander polynomial	$-t^{4}+7t^{3}-19t^{2}+32t-37+32t^{-1}-19t^{-2}+7t^{-3}-t^{-4}$
Conway polynomial	Data:K14n12374/Conway Polynomial
Determinant	Data:K14n12374/Determinant
Signature	Data:K14n12374/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-4z^{6}a^{-2}+z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-5z^{4}a^{-2}+3z^{4}a^{-4}+6z^{4}-2a^{2}z^{2}-2z^{2}a^{-2}+3z^{2}a^{-4}-z^{2}a^{-6}+5z^{2}-a^{2}+a^{-4}-a^{-6}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{11} $Failed^{-1} +z^{11} $Failed^{-1} +7 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +5 z^{10}+7 \text{QuantumGroups$\grave{ }$a} z^9+15 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -2 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-19 \text{QuantumGroups$\grave{ }$a} z^7-46 z^7 $Failed^{-1} -21 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^2 z^6-32 z^6 $Failed^{-1} -13 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} -28 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+12 \text{QuantumGroups$\grave{ }$a} z^5+34 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} -z^5 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^2 z^4+29 z^4 $Failed^{-1} +16 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} +32 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-14 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} +z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^2-9 z^2 $Failed^{-1} -8 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -11 z^2-\text{QuantumGroups$\grave{ }$a}^3 z+4 z $Failed^{-1} +5 z $Failed^{-1} -2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} + $Failed^{-1} +2}

Modifying This Page

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