K14a17833

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17833

Polynomial invariants

Jones polynomial	Data:K14a17833/Jones Polynomial
Alexander polynomial	$2t^{5}-10t^{4}+29t^{3}-61t^{2}+96t-111+96t^{-1}-61t^{-2}+29t^{-3}-10t^{-4}+2t^{-5}$
Conway polynomial	Data:K14a17833/Conway Polynomial
Determinant	Data:K14a17833/Determinant
Signature	Data:K14a17833/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+z^{10}a^{-4}+6z^{8}a^{-2}+6z^{8}a^{-4}-z^{8}a^{-6}-z^{8}+15z^{6}a^{-2}+14z^{6}a^{-4}-5z^{6}a^{-6}-5z^{6}+19z^{4}a^{-2}+13z^{4}a^{-4}-9z^{4}a^{-6}-10z^{4}+14z^{2}a^{-2}+2z^{2}a^{-4}-5z^{2}a^{-6}-8z^{2}+6a^{-2}-3a^{-4}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +19 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +14 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +22 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +3 z^{10} $Failed^{-1} -33 z^{10} $Failed^{-1} -8 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +14 z^{10}+9 \text{QuantumGroups$\grave{ }$a} z^9-21 z^9 $Failed^{-1} -57 z^9 $Failed^{-1} -71 z^9 $Failed^{-1} -35 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-40 z^8 $Failed^{-1} +22 z^8 $Failed^{-1} -14 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -31 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-20 \text{QuantumGroups$\grave{ }$a} z^7+4 z^7 $Failed^{-1} +59 z^7 $Failed^{-1} +95 z^7 $Failed^{-1} +36 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+59 z^6 $Failed^{-1} -6 z^6 $Failed^{-1} +24 z^6 $Failed^{-1} +38 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +30 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+14 \text{QuantumGroups$\grave{ }$a} z^5+7 z^5 $Failed^{-1} -33 z^5 $Failed^{-1} -67 z^5 $Failed^{-1} -20 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^4-54 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} -18 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -24 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-3 \text{QuantumGroups$\grave{ }$a} z^3-10 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +24 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+25 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +13 z^2-\text{QuantumGroups$\grave{ }$a}^3 z+3 z $Failed^{-1} +3 z $Failed^{-1} +z $Failed^{-1} -6 $Failed^{-1} -3 $Failed^{-1} -2}

Modifying This Page

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