K14a7378

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7378

Polynomial invariants

Jones polynomial	Data:K14a7378/Jones Polynomial
Alexander polynomial	$8t^{3}-36t^{2}+78t-99+78t^{-1}-36t^{-2}+8t^{-3}$
Conway polynomial	Data:K14a7378/Conway Polynomial
Determinant	Data:K14a7378/Determinant
Signature	Data:K14a7378/Signature
HOMFLY-PT polynomial	$-z^{4}a^{10}-z^{2}a^{10}+z^{6}a^{8}-3z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+7z^{4}a^{6}+6z^{2}a^{6}+a^{6}+3z^{6}a^{4}+7z^{4}a^{4}+7z^{2}a^{4}+3a^{4}+z^{6}a^{2}-2z^{2}a^{2}-a^{2}-z^{4}-z^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+9 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-20 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+34 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-23 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-25 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+27 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+3 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-13 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+3 z \text{QuantumGroups$\grave{ }$a}^{11}+4 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-4 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-37 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+77 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-43 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+z^{13} \text{QuantumGroups$\grave{ }$a}^9+13 z^{11} \text{QuantumGroups$\grave{ }$a}^9-56 z^9 \text{QuantumGroups$\grave{ }$a}^9+48 z^7 \text{QuantumGroups$\grave{ }$a}^9+18 z^5 \text{QuantumGroups$\grave{ }$a}^9-28 z^3 \text{QuantumGroups$\grave{ }$a}^9+7 z \text{QuantumGroups$\grave{ }$a}^9+8 z^{12} \text{QuantumGroups$\grave{ }$a}^8-5 z^{10} \text{QuantumGroups$\grave{ }$a}^8-59 z^8 \text{QuantumGroups$\grave{ }$a}^8+95 z^6 \text{QuantumGroups$\grave{ }$a}^8-47 z^4 \text{QuantumGroups$\grave{ }$a}^8+11 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+16 z^{11} \text{QuantumGroups$\grave{ }$a}^7-41 z^9 \text{QuantumGroups$\grave{ }$a}^7-6 z^7 \text{QuantumGroups$\grave{ }$a}^7+56 z^5 \text{QuantumGroups$\grave{ }$a}^7-38 z^3 \text{QuantumGroups$\grave{ }$a}^7+8 z \text{QuantumGroups$\grave{ }$a}^7+4 z^{12} \text{QuantumGroups$\grave{ }$a}^6+17 z^{10} \text{QuantumGroups$\grave{ }$a}^6-68 z^8 \text{QuantumGroups$\grave{ }$a}^6+59 z^6 \text{QuantumGroups$\grave{ }$a}^6-23 z^4 \text{QuantumGroups$\grave{ }$a}^6+6 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+9 z^{11} \text{QuantumGroups$\grave{ }$a}^5+5 z^9 \text{QuantumGroups$\grave{ }$a}^5-52 z^7 \text{QuantumGroups$\grave{ }$a}^5+51 z^5 \text{QuantumGroups$\grave{ }$a}^5-21 z^3 \text{QuantumGroups$\grave{ }$a}^5+2 z \text{QuantumGroups$\grave{ }$a}^5+14 z^{10} \text{QuantumGroups$\grave{ }$a}^4-12 z^8 \text{QuantumGroups$\grave{ }$a}^4-17 z^6 \text{QuantumGroups$\grave{ }$a}^4+23 z^4 \text{QuantumGroups$\grave{ }$a}^4-12 z^2 \text{QuantumGroups$\grave{ }$a}^4+3 \text{QuantumGroups$\grave{ }$a}^4+16 z^9 \text{QuantumGroups$\grave{ }$a}^3-21 z^7 \text{QuantumGroups$\grave{ }$a}^3+7 z^5 \text{QuantumGroups$\grave{ }$a}^3+2 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+14 z^8 \text{QuantumGroups$\grave{ }$a}^2-20 z^6 \text{QuantumGroups$\grave{ }$a}^2+15 z^4 \text{QuantumGroups$\grave{ }$a}^2-6 z^2 \text{QuantumGroups$\grave{ }$a}^2+\text{QuantumGroups$\grave{ }$a}^2+9 z^7 \text{QuantumGroups$\grave{ }$a}-11 z^5 \text{QuantumGroups$\grave{ }$a}+6 z^3 \text{QuantumGroups$\grave{ }$a}-z \text{QuantumGroups$\grave{ }$a}+4 z^6-4 z^4+z^2+z^5 $Failed^{-1} -z^3 $Failed^{-1} }

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