K14n11875

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11875

Polynomial invariants

Jones polynomial	Data:K14n11875/Jones Polynomial
Alexander polynomial	$t^{3}-4t^{2}+2t+3+2t^{-1}-4t^{-2}+t^{-3}$
Conway polynomial	Data:K14n11875/Conway Polynomial
Determinant	Data:K14n11875/Determinant
Signature	Data:K14n11875/Signature
HOMFLY-PT polynomial	$z^{2}a^{6}+2a^{6}-2z^{4}a^{4}-6z^{2}a^{4}-3a^{4}+z^{6}a^{2}+4z^{4}a^{2}+3z^{2}a^{2}+a^{2}-z^{2}+1-2z^{2}a^{-2}-a^{-2}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^4 z^{12}+\text{QuantumGroups$\grave{ }$a}^2 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+4 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+2 \text{QuantumGroups$\grave{ }$a} z^{11}+\text{QuantumGroups$\grave{ }$a}^6 z^{10}-4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+z^{10}-15 \text{QuantumGroups$\grave{ }$a}^5 z^9-29 \text{QuantumGroups$\grave{ }$a}^3 z^9-14 \text{QuantumGroups$\grave{ }$a} z^9-8 \text{QuantumGroups$\grave{ }$a}^6 z^8-8 \text{QuantumGroups$\grave{ }$a}^4 z^8-8 \text{QuantumGroups$\grave{ }$a}^2 z^8-8 z^8+38 \text{QuantumGroups$\grave{ }$a}^5 z^7+65 \text{QuantumGroups$\grave{ }$a}^3 z^7+26 \text{QuantumGroups$\grave{ }$a} z^7-z^7 $Failed^{-1} +23 \text{QuantumGroups$\grave{ }$a}^6 z^6+48 \text{QuantumGroups$\grave{ }$a}^4 z^6+40 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} +16 z^6-40 \text{QuantumGroups$\grave{ }$a}^5 z^5-54 \text{QuantumGroups$\grave{ }$a}^3 z^5-12 \text{QuantumGroups$\grave{ }$a} z^5+4 z^5 $Failed^{-1} +2 z^5 $Failed^{-1} -29 \text{QuantumGroups$\grave{ }$a}^6 z^4-60 \text{QuantumGroups$\grave{ }$a}^4 z^4-38 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +z^4 $Failed^{-1} -9 z^4+18 \text{QuantumGroups$\grave{ }$a}^5 z^3+18 \text{QuantumGroups$\grave{ }$a}^3 z^3-2 \text{QuantumGroups$\grave{ }$a} z^3-6 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^6 z^2+26 \text{QuantumGroups$\grave{ }$a}^4 z^2+12 \text{QuantumGroups$\grave{ }$a}^2 z^2-3 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2+ $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.