K14a18078

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18078

Polynomial invariants

Jones polynomial	Data:K14a18078/Jones Polynomial
Alexander polynomial	$-t^{5}+7t^{4}-24t^{3}+53t^{2}-82t+95-82t^{-1}+53t^{-2}-24t^{-3}+7t^{-4}-t^{-5}$
Conway polynomial	Data:K14a18078/Conway Polynomial
Determinant	Data:K14a18078/Determinant
Signature	Data:K14a18078/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+3z^{8}a^{-2}-7z^{8}a^{-4}+z^{8}a^{-6}+16z^{6}a^{-2}-21z^{6}a^{-4}+5z^{6}a^{-6}-3z^{6}+a^{2}z^{4}+32z^{4}a^{-2}-32z^{4}a^{-4}+9z^{4}a^{-6}-11z^{4}+2a^{2}z^{2}+29z^{2}a^{-2}-24z^{2}a^{-4}+7z^{2}a^{-6}-13z^{2}+a^{2}+11a^{-2}-8a^{-4}+2a^{-6}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +26 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +8 z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +39 z^{11} $Failed^{-1} +37 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^{10}-100 z^{10} $Failed^{-1} -15 z^{10} $Failed^{-1} +48 z^{10} $Failed^{-1} -36 z^{10}-27 \text{QuantumGroups$\grave{ }$a} z^9-111 z^9 $Failed^{-1} -234 z^9 $Failed^{-1} -105 z^9 $Failed^{-1} +45 z^9 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^8+62 z^8 $Failed^{-1} -164 z^8 $Failed^{-1} -146 z^8 $Failed^{-1} +33 z^8 $Failed^{-1} +42 z^8+54 \text{QuantumGroups$\grave{ }$a} z^7+246 z^7 $Failed^{-1} +362 z^7 $Failed^{-1} +34 z^7 $Failed^{-1} -116 z^7 $Failed^{-1} +20 z^7 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^6+137 z^6 $Failed^{-1} +326 z^6 $Failed^{-1} +126 z^6 $Failed^{-1} -61 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} +18 z^6-48 \text{QuantumGroups$\grave{ }$a} z^5-195 z^5 $Failed^{-1} -188 z^5 $Failed^{-1} +68 z^5 $Failed^{-1} +83 z^5 $Failed^{-1} -22 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^4-179 z^4 $Failed^{-1} -214 z^4 $Failed^{-1} -53 z^4 $Failed^{-1} +25 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +z^4 $Failed^{-1} -58 z^4+17 \text{QuantumGroups$\grave{ }$a} z^3+51 z^3 $Failed^{-1} +20 z^3 $Failed^{-1} -46 z^3 $Failed^{-1} -28 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^2+69 z^2 $Failed^{-1} +62 z^2 $Failed^{-1} +16 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +31 z^2-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +6 z $Failed^{-1} +10 z $Failed^{-1} +4 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-11 $Failed^{-1} -8 $Failed^{-1} -2 $Failed^{-1} -5}

Modifying This Page

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