K14a6176

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6176

Polynomial invariants

Jones polynomial	Data:K14a6176/Jones Polynomial
Alexander polynomial	$-t^{4}+12t^{3}-57t^{2}+134t-175+134t^{-1}-57t^{-2}+12t^{-3}-t^{-4}$
Conway polynomial	Data:K14a6176/Conway Polynomial
Determinant	Data:K14a6176/Determinant
Signature	Data:K14a6176/Signature
HOMFLY-PT polynomial	$-a^{10}+4z^{2}a^{8}+3a^{8}-6z^{4}a^{6}-7z^{2}a^{6}-3a^{6}+4z^{6}a^{4}+6z^{4}a^{4}+5z^{2}a^{4}+2a^{4}-z^{8}a^{2}-2z^{6}a^{2}-6z^{4}a^{2}-5z^{2}a^{2}-a^{2}+2z^{6}+2z^{4}+z^{2}-z^{4}a^{-2}+a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+33 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+38 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+18 \text{QuantumGroups$\grave{ }$a} z^{11}+12 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+31 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+21 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^9 z^9-14 \text{QuantumGroups$\grave{ }$a}^7 z^9-68 \text{QuantumGroups$\grave{ }$a}^5 z^9-67 \text{QuantumGroups$\grave{ }$a}^3 z^9-6 \text{QuantumGroups$\grave{ }$a} z^9+15 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-19 \text{QuantumGroups$\grave{ }$a}^8 z^8-59 \text{QuantumGroups$\grave{ }$a}^6 z^8-96 \text{QuantumGroups$\grave{ }$a}^4 z^8-101 \text{QuantumGroups$\grave{ }$a}^2 z^8+6 z^8 $Failed^{-1} -35 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-16 \text{QuantumGroups$\grave{ }$a}^9 z^7-5 \text{QuantumGroups$\grave{ }$a}^7 z^7+37 \text{QuantumGroups$\grave{ }$a}^5 z^7+3 \text{QuantumGroups$\grave{ }$a}^3 z^7-54 \text{QuantumGroups$\grave{ }$a} z^7-31 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+2 \text{QuantumGroups$\grave{ }$a}^8 z^6+57 \text{QuantumGroups$\grave{ }$a}^6 z^6+97 \text{QuantumGroups$\grave{ }$a}^4 z^6+71 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +7 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+8 \text{QuantumGroups$\grave{ }$a}^9 z^5+16 \text{QuantumGroups$\grave{ }$a}^7 z^5+8 \text{QuantumGroups$\grave{ }$a}^5 z^5+36 \text{QuantumGroups$\grave{ }$a}^3 z^5+55 \text{QuantumGroups$\grave{ }$a} z^5+21 z^5 $Failed^{-1} -z^5 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^{10} z^4+16 \text{QuantumGroups$\grave{ }$a}^8 z^4-11 \text{QuantumGroups$\grave{ }$a}^6 z^4-30 \text{QuantumGroups$\grave{ }$a}^4 z^4-11 \text{QuantumGroups$\grave{ }$a}^2 z^4+6 z^4 $Failed^{-1} +9 z^4+3 \text{QuantumGroups$\grave{ }$a}^{11} z^3+\text{QuantumGroups$\grave{ }$a}^9 z^3-10 \text{QuantumGroups$\grave{ }$a}^7 z^3-9 \text{QuantumGroups$\grave{ }$a}^5 z^3-16 \text{QuantumGroups$\grave{ }$a}^3 z^3-19 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^{10} z^2-14 \text{QuantumGroups$\grave{ }$a}^8 z^2-9 \text{QuantumGroups$\grave{ }$a}^6 z^2-\text{QuantumGroups$\grave{ }$a}^4 z^2-5 \text{QuantumGroups$\grave{ }$a}^2 z^2+z^2 $Failed^{-1} -3 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z-\text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+2 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+\text{QuantumGroups$\grave{ }$a}^{10}+3 \text{QuantumGroups$\grave{ }$a}^8+3 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} }

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