K14a2635

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2635

Polynomial invariants

Jones polynomial	Data:K14a2635/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+16t^{3}-19t^{2}+19t-19+19t^{-1}-19t^{-2}+16t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2635/Conway Polynomial
Determinant	Data:K14a2635/Determinant
Signature	Data:K14a2635/Signature
HOMFLY-PT polynomial	$z^{6}a^{10}+5z^{4}a^{10}+6z^{2}a^{10}+a^{10}-2z^{8}a^{8}-12z^{6}a^{8}-22z^{4}a^{8}-15z^{2}a^{8}-4a^{8}+z^{10}a^{6}+7z^{8}a^{6}+18z^{6}a^{6}+25z^{4}a^{6}+21z^{2}a^{6}+7a^{6}-2z^{8}a^{4}-13z^{6}a^{4}-27z^{4}a^{4}-22z^{2}a^{4}-7a^{4}+z^{6}a^{2}+6z^{4}a^{2}+10z^{2}a^{2}+4a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^4 \text{QuantumGroups$\grave{ }$a}^{16}-z^2 \text{QuantumGroups$\grave{ }$a}^{16}+3 z^5 \text{QuantumGroups$\grave{ }$a}^{15}-3 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+z \text{QuantumGroups$\grave{ }$a}^{15}+5 z^6 \text{QuantumGroups$\grave{ }$a}^{14}-5 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-6 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+6 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-7 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+z^2 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-12 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+7 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+6 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+22 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-19 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+7 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+5 z^{11} \text{QuantumGroups$\grave{ }$a}^9-18 z^9 \text{QuantumGroups$\grave{ }$a}^9+17 z^7 \text{QuantumGroups$\grave{ }$a}^9-6 z^5 \text{QuantumGroups$\grave{ }$a}^9-z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+3 z^{12} \text{QuantumGroups$\grave{ }$a}^8-8 z^{10} \text{QuantumGroups$\grave{ }$a}^8-12 z^8 \text{QuantumGroups$\grave{ }$a}^8+46 z^6 \text{QuantumGroups$\grave{ }$a}^8-48 z^4 \text{QuantumGroups$\grave{ }$a}^8+24 z^2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+2 z^{11} \text{QuantumGroups$\grave{ }$a}^7-30 z^9 \text{QuantumGroups$\grave{ }$a}^7+56 z^7 \text{QuantumGroups$\grave{ }$a}^7-33 z^5 \text{QuantumGroups$\grave{ }$a}^7+6 z^3 \text{QuantumGroups$\grave{ }$a}^7+5 z^{12} \text{QuantumGroups$\grave{ }$a}^6-25 z^{10} \text{QuantumGroups$\grave{ }$a}^6+26 z^8 \text{QuantumGroups$\grave{ }$a}^6+26 z^6 \text{QuantumGroups$\grave{ }$a}^6-57 z^4 \text{QuantumGroups$\grave{ }$a}^6+34 z^2 \text{QuantumGroups$\grave{ }$a}^6-7 \text{QuantumGroups$\grave{ }$a}^6+z^{13} \text{QuantumGroups$\grave{ }$a}^5-z^{11} \text{QuantumGroups$\grave{ }$a}^5-20 z^9 \text{QuantumGroups$\grave{ }$a}^5+54 z^7 \text{QuantumGroups$\grave{ }$a}^5-43 z^5 \text{QuantumGroups$\grave{ }$a}^5+11 z^3 \text{QuantumGroups$\grave{ }$a}^5-2 z \text{QuantumGroups$\grave{ }$a}^5+2 z^{12} \text{QuantumGroups$\grave{ }$a}^4-10 z^{10} \text{QuantumGroups$\grave{ }$a}^4+5 z^8 \text{QuantumGroups$\grave{ }$a}^4+37 z^6 \text{QuantumGroups$\grave{ }$a}^4-64 z^4 \text{QuantumGroups$\grave{ }$a}^4+37 z^2 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^4+2 z^{11} \text{QuantumGroups$\grave{ }$a}^3-14 z^9 \text{QuantumGroups$\grave{ }$a}^3+33 z^7 \text{QuantumGroups$\grave{ }$a}^3-32 z^5 \text{QuantumGroups$\grave{ }$a}^3+12 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+z^{10} \text{QuantumGroups$\grave{ }$a}^2-8 z^8 \text{QuantumGroups$\grave{ }$a}^2+23 z^6 \text{QuantumGroups$\grave{ }$a}^2-30 z^4 \text{QuantumGroups$\grave{ }$a}^2+18 z^2 \text{QuantumGroups$\grave{ }$a}^2-4 \text{QuantumGroups$\grave{ }$a}^2}

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