K14a7076

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7076

Polynomial invariants

Jones polynomial	Data:K14a7076/Jones Polynomial
Alexander polynomial	$2t^{4}-12t^{3}+31t^{2}-46t+51-46t^{-1}+31t^{-2}-12t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a7076/Conway Polynomial
Determinant	Data:K14a7076/Determinant
Signature	Data:K14a7076/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}a^{-4}+4z^{6}a^{-2}+4z^{6}a^{-4}-2z^{6}a^{-6}-2z^{6}+a^{2}z^{4}+6z^{4}a^{-2}+6z^{4}a^{-4}-7z^{4}a^{-6}+z^{4}a^{-8}-8z^{4}+3a^{2}z^{2}+7z^{2}a^{-2}+6z^{2}a^{-4}-6z^{2}a^{-6}+2z^{2}a^{-8}-10z^{2}+2a^{2}+4a^{-2}+2a^{-4}-2a^{-6}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +8 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +3 z^{12}+3 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^{10}-29 z^{10} $Failed^{-1} +15 z^{10} $Failed^{-1} -13 z^{10}-20 \text{QuantumGroups$\grave{ }$a} z^9-66 z^9 $Failed^{-1} -91 z^9 $Failed^{-1} -29 z^9 $Failed^{-1} +16 z^9 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^2 z^8-7 z^8 $Failed^{-1} -72 z^8 $Failed^{-1} -40 z^8 $Failed^{-1} +15 z^8 $Failed^{-1} +3 z^8+48 \text{QuantumGroups$\grave{ }$a} z^7+152 z^7 $Failed^{-1} +150 z^7 $Failed^{-1} -z^7 $Failed^{-1} -35 z^7 $Failed^{-1} +12 z^7 $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^2 z^6+113 z^6 $Failed^{-1} +133 z^6 $Failed^{-1} +18 z^6 $Failed^{-1} -26 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +50 z^6-52 \text{QuantumGroups$\grave{ }$a} z^5-142 z^5 $Failed^{-1} -95 z^5 $Failed^{-1} +27 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -14 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^2 z^4-125 z^4 $Failed^{-1} -81 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +z^4 $Failed^{-1} -75 z^4+26 \text{QuantumGroups$\grave{ }$a} z^3+59 z^3 $Failed^{-1} +31 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^2+46 z^2 $Failed^{-1} +16 z^2 $Failed^{-1} -7 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +37 z^2-5 \text{QuantumGroups$\grave{ }$a} z-11 z $Failed^{-1} -8 z $Failed^{-1} -4 z $Failed^{-1} -z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} +2 $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.