K14a947

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a947

Polynomial invariants

Jones polynomial	Data:K14a947/Jones Polynomial
Alexander polynomial	$-3t^{4}+21t^{3}-66t^{2}+125t-153+125t^{-1}-66t^{-2}+21t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a947/Conway Polynomial
Determinant	Data:K14a947/Determinant
Signature	Data:K14a947/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-8z^{6}a^{-4}+3z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+6z^{4}a^{-2}-16z^{4}a^{-4}+9z^{4}a^{-6}-z^{4}a^{-8}+3z^{4}-a^{2}z^{2}+10z^{2}a^{-2}-15z^{2}a^{-4}+10z^{2}a^{-6}-2z^{2}a^{-8}+5a^{-2}-5a^{-4}+3a^{-6}-a^{-8}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +6 z^{12} $Failed^{-1} +12 z^{12} $Failed^{-1} +6 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +38 z^{11} $Failed^{-1} +38 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +42 z^{10} $Failed^{-1} +51 z^{10} $Failed^{-1} +43 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +17 z^{10}+12 \text{QuantumGroups$\grave{ }$a} z^9+2 z^9 $Failed^{-1} -48 z^9 $Failed^{-1} -46 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-131 z^8 $Failed^{-1} -194 z^8 $Failed^{-1} -134 z^8 $Failed^{-1} -30 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -31 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-27 \text{QuantumGroups$\grave{ }$a} z^7-63 z^7 $Failed^{-1} -59 z^7 $Failed^{-1} -68 z^7 $Failed^{-1} -72 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^2 z^6+134 z^6 $Failed^{-1} +216 z^6 $Failed^{-1} +135 z^6 $Failed^{-1} +14 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +17 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+23 \text{QuantumGroups$\grave{ }$a} z^5+80 z^5 $Failed^{-1} +127 z^5 $Failed^{-1} +141 z^5 $Failed^{-1} +95 z^5 $Failed^{-1} +24 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^4-69 z^4 $Failed^{-1} -113 z^4 $Failed^{-1} -65 z^4 $Failed^{-1} -z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -4 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-10 \text{QuantumGroups$\grave{ }$a} z^3-41 z^3 $Failed^{-1} -73 z^3 $Failed^{-1} -81 z^3 $Failed^{-1} -51 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+23 z^2 $Failed^{-1} +34 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} +z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +2 z^2+2 \text{QuantumGroups$\grave{ }$a} z+8 z $Failed^{-1} +15 z $Failed^{-1} +15 z $Failed^{-1} +9 z $Failed^{-1} +3 z $Failed^{-1} -5 $Failed^{-1} -5 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} -1}

Modifying This Page

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