K14a5125

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5125

Polynomial invariants

Jones polynomial	Data:K14a5125/Jones Polynomial
Alexander polynomial	$-6t^{3}+38t^{2}-95t+127-95t^{-1}+38t^{-2}-6t^{-3}$
Conway polynomial	Data:K14a5125/Conway Polynomial
Determinant	Data:K14a5125/Determinant
Signature	Data:K14a5125/Signature
HOMFLY-PT polynomial	$-z^{2}a^{6}-a^{6}+3z^{4}a^{4}+4z^{2}a^{4}+2a^{4}-2z^{6}a^{2}-2z^{4}a^{2}-2z^{2}a^{2}-a^{2}-3z^{6}-4z^{4}-3z^{2}-1-z^{6}a^{-2}+3z^{4}a^{-2}+6z^{2}a^{-2}+4a^{-2}+2z^{4}a^{-4}-2a^{-4}-z^{2}a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 z^{12} $Failed^{-1} +15 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+22 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-8 z^{10} $Failed^{-1} +13 z^{10} $Failed^{-1} -37 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^5 z^9-17 \text{QuantumGroups$\grave{ }$a}^3 z^9-85 \text{QuantumGroups$\grave{ }$a} z^9-108 z^9 $Failed^{-1} -39 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-17 \text{QuantumGroups$\grave{ }$a}^4 z^8-9 \text{QuantumGroups$\grave{ }$a}^2 z^8-45 z^8 $Failed^{-1} -44 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} +15 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-19 \text{QuantumGroups$\grave{ }$a}^5 z^7+10 \text{QuantumGroups$\grave{ }$a}^3 z^7+163 \text{QuantumGroups$\grave{ }$a} z^7+197 z^7 $Failed^{-1} +33 z^7 $Failed^{-1} -30 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6-4 \text{QuantumGroups$\grave{ }$a}^4 z^6+17 \text{QuantumGroups$\grave{ }$a}^2 z^6+116 z^6 $Failed^{-1} +49 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +65 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+11 \text{QuantumGroups$\grave{ }$a}^5 z^5-20 \text{QuantumGroups$\grave{ }$a}^3 z^5-160 \text{QuantumGroups$\grave{ }$a} z^5-157 z^5 $Failed^{-1} +28 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4+14 \text{QuantumGroups$\grave{ }$a}^4 z^4-19 \text{QuantumGroups$\grave{ }$a}^2 z^4-89 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -78 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3+18 \text{QuantumGroups$\grave{ }$a}^3 z^3+74 \text{QuantumGroups$\grave{ }$a} z^3+66 z^3 $Failed^{-1} -z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^6 z^2-7 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+29 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} -z^2 $Failed^{-1} +25 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z-5 \text{QuantumGroups$\grave{ }$a}^3 z-14 \text{QuantumGroups$\grave{ }$a} z-13 z $Failed^{-1} -2 z $Failed^{-1} +2 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} -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.