K14a2654

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2654

Polynomial invariants

Jones polynomial	Data:K14a2654/Jones Polynomial
Alexander polynomial	$-2t^{4}+16t^{3}-61t^{2}+131t-167+131t^{-1}-61t^{-2}+16t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a2654/Conway Polynomial
Determinant	Data:K14a2654/Determinant
Signature	Data:K14a2654/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}-3z^{4}a^{8}-2z^{2}a^{8}+3z^{6}a^{6}+4z^{4}a^{6}+2z^{2}a^{6}-z^{8}a^{4}-z^{6}a^{4}-z^{4}a^{4}+z^{2}a^{4}+a^{4}-z^{8}a^{2}-3z^{6}a^{2}-7z^{4}a^{2}-6z^{2}a^{2}-2a^{2}+z^{6}+2z^{4}+3z^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^7 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+8 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+33 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+40 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+20 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+11 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}+13 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+42 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+27 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^{11} z^9-25 \text{QuantumGroups$\grave{ }$a}^9 z^9-76 \text{QuantumGroups$\grave{ }$a}^7 z^9-64 \text{QuantumGroups$\grave{ }$a}^5 z^9+6 \text{QuantumGroups$\grave{ }$a}^3 z^9+24 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-33 \text{QuantumGroups$\grave{ }$a}^{10} z^8-86 \text{QuantumGroups$\grave{ }$a}^8 z^8-129 \text{QuantumGroups$\grave{ }$a}^6 z^8-123 \text{QuantumGroups$\grave{ }$a}^4 z^8-32 \text{QuantumGroups$\grave{ }$a}^2 z^8+14 z^8-16 \text{QuantumGroups$\grave{ }$a}^{11} z^7-6 \text{QuantumGroups$\grave{ }$a}^9 z^7+12 \text{QuantumGroups$\grave{ }$a}^7 z^7-29 \text{QuantumGroups$\grave{ }$a}^5 z^7-75 \text{QuantumGroups$\grave{ }$a}^3 z^7-39 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{12} z^6+33 \text{QuantumGroups$\grave{ }$a}^{10} z^6+97 \text{QuantumGroups$\grave{ }$a}^8 z^6+130 \text{QuantumGroups$\grave{ }$a}^6 z^6+91 \text{QuantumGroups$\grave{ }$a}^4 z^6+z^6 $Failed^{-1} -21 z^6+18 \text{QuantumGroups$\grave{ }$a}^{11} z^5+35 \text{QuantumGroups$\grave{ }$a}^9 z^5+53 \text{QuantumGroups$\grave{ }$a}^7 z^5+74 \text{QuantumGroups$\grave{ }$a}^5 z^5+73 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5-5 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^{12} z^4-12 \text{QuantumGroups$\grave{ }$a}^{10} z^4-36 \text{QuantumGroups$\grave{ }$a}^8 z^4-44 \text{QuantumGroups$\grave{ }$a}^6 z^4-22 \text{QuantumGroups$\grave{ }$a}^4 z^4+18 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +16 z^4-8 \text{QuantumGroups$\grave{ }$a}^{11} z^3-20 \text{QuantumGroups$\grave{ }$a}^9 z^3-30 \text{QuantumGroups$\grave{ }$a}^7 z^3-31 \text{QuantumGroups$\grave{ }$a}^5 z^3-25 \text{QuantumGroups$\grave{ }$a}^3 z^3-11 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{12} z^2+\text{QuantumGroups$\grave{ }$a}^{10} z^2+4 \text{QuantumGroups$\grave{ }$a}^8 z^2+5 \text{QuantumGroups$\grave{ }$a}^6 z^2-\text{QuantumGroups$\grave{ }$a}^4 z^2-11 \text{QuantumGroups$\grave{ }$a}^2 z^2-7 z^2+\text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z+4 \text{QuantumGroups$\grave{ }$a}^7 z+3 \text{QuantumGroups$\grave{ }$a}^5 z+2 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+\text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+2}

Modifying This Page

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