K14a6180

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6180

Polynomial invariants

Jones polynomial	Data:K14a6180/Jones Polynomial
Alexander polynomial	$-3t^{4}+22t^{3}-72t^{2}+141t-175+141t^{-1}-72t^{-2}+22t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a6180/Conway Polynomial
Determinant	Data:K14a6180/Determinant
Signature	Data:K14a6180/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-4z^{4}a^{8}-7z^{2}a^{8}-4a^{8}+5z^{6}a^{6}+13z^{4}a^{6}+12z^{2}a^{6}+3a^{6}-2z^{8}a^{4}-6z^{6}a^{4}-8z^{4}a^{4}-2z^{2}a^{4}+2a^{4}-z^{8}a^{2}-2z^{6}a^{2}-3z^{4}a^{2}-3z^{2}a^{2}-2a^{2}+z^{6}+2z^{4}+2z^{2}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^7 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+11 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+25 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+16 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+43 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+55 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+28 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}+10 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+37 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+33 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^{11} z^9-33 \text{QuantumGroups$\grave{ }$a}^9 z^9-121 \text{QuantumGroups$\grave{ }$a}^7 z^9-129 \text{QuantumGroups$\grave{ }$a}^5 z^9-20 \text{QuantumGroups$\grave{ }$a}^3 z^9+26 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-34 \text{QuantumGroups$\grave{ }$a}^{10} z^8-97 \text{QuantumGroups$\grave{ }$a}^8 z^8-143 \text{QuantumGroups$\grave{ }$a}^6 z^8-147 \text{QuantumGroups$\grave{ }$a}^4 z^8-52 \text{QuantumGroups$\grave{ }$a}^2 z^8+14 z^8-15 \text{QuantumGroups$\grave{ }$a}^{11} z^7+5 \text{QuantumGroups$\grave{ }$a}^9 z^7+82 \text{QuantumGroups$\grave{ }$a}^7 z^7+67 \text{QuantumGroups$\grave{ }$a}^5 z^7-43 \text{QuantumGroups$\grave{ }$a}^3 z^7-43 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{12} z^6+34 \text{QuantumGroups$\grave{ }$a}^{10} z^6+122 \text{QuantumGroups$\grave{ }$a}^8 z^6+179 \text{QuantumGroups$\grave{ }$a}^6 z^6+144 \text{QuantumGroups$\grave{ }$a}^4 z^6+30 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -19 z^6+17 \text{QuantumGroups$\grave{ }$a}^{11} z^5+25 \text{QuantumGroups$\grave{ }$a}^9 z^5-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+10 \text{QuantumGroups$\grave{ }$a}^5 z^5+62 \text{QuantumGroups$\grave{ }$a}^3 z^5+35 \text{QuantumGroups$\grave{ }$a} z^5-5 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^{12} z^4-15 \text{QuantumGroups$\grave{ }$a}^{10} z^4-62 \text{QuantumGroups$\grave{ }$a}^8 z^4-85 \text{QuantumGroups$\grave{ }$a}^6 z^4-55 \text{QuantumGroups$\grave{ }$a}^4 z^4-\text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +12 z^4-9 \text{QuantumGroups$\grave{ }$a}^{11} z^3-20 \text{QuantumGroups$\grave{ }$a}^9 z^3-11 \text{QuantumGroups$\grave{ }$a}^7 z^3-13 \text{QuantumGroups$\grave{ }$a}^5 z^3-28 \text{QuantumGroups$\grave{ }$a}^3 z^3-14 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{12} z^2+3 \text{QuantumGroups$\grave{ }$a}^{10} z^2+18 \text{QuantumGroups$\grave{ }$a}^8 z^2+19 \text{QuantumGroups$\grave{ }$a}^6 z^2+3 \text{QuantumGroups$\grave{ }$a}^4 z^2-6 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2+2 \text{QuantumGroups$\grave{ }$a}^{11} z+7 \text{QuantumGroups$\grave{ }$a}^9 z+5 \text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^{10}-4 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^2+1}

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