K14a14151

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a14151

Polynomial invariants

Jones polynomial	Data:K14a14151/Jones Polynomial
Alexander polynomial	$6t^{3}-39t^{2}+106t-145+106t^{-1}-39t^{-2}+6t^{-3}$
Conway polynomial	Data:K14a14151/Conway Polynomial
Determinant	Data:K14a14151/Determinant
Signature	Data:K14a14151/Signature
HOMFLY-PT polynomial	$-a^{12}+4z^{2}a^{10}+2a^{10}-5z^{4}a^{8}-5z^{2}a^{8}-2a^{8}+2z^{6}a^{6}+z^{2}a^{6}+a^{6}+3z^{6}a^{4}+4z^{4}a^{4}+4z^{2}a^{4}+z^{6}a^{2}-z^{4}a^{2}+a^{2}-z^{4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^9 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+8 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-5 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-19 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+29 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-18 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+8 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-37 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+57 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-40 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+20 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-5 z \text{QuantumGroups$\grave{ }$a}^{11}+8 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-27 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+13 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+31 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-34 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+13 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^{13} \text{QuantumGroups$\grave{ }$a}^9+13 z^{11} \text{QuantumGroups$\grave{ }$a}^9-100 z^9 \text{QuantumGroups$\grave{ }$a}^9+189 z^7 \text{QuantumGroups$\grave{ }$a}^9-161 z^5 \text{QuantumGroups$\grave{ }$a}^9+68 z^3 \text{QuantumGroups$\grave{ }$a}^9-11 z \text{QuantumGroups$\grave{ }$a}^9+20 z^{12} \text{QuantumGroups$\grave{ }$a}^8-63 z^{10} \text{QuantumGroups$\grave{ }$a}^8+43 z^8 \text{QuantumGroups$\grave{ }$a}^8+31 z^6 \text{QuantumGroups$\grave{ }$a}^8-51 z^4 \text{QuantumGroups$\grave{ }$a}^8+18 z^2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^8+3 z^{13} \text{QuantumGroups$\grave{ }$a}^7+28 z^{11} \text{QuantumGroups$\grave{ }$a}^7-128 z^9 \text{QuantumGroups$\grave{ }$a}^7+185 z^7 \text{QuantumGroups$\grave{ }$a}^7-138 z^5 \text{QuantumGroups$\grave{ }$a}^7+51 z^3 \text{QuantumGroups$\grave{ }$a}^7-7 z \text{QuantumGroups$\grave{ }$a}^7+12 z^{12} \text{QuantumGroups$\grave{ }$a}^6-z^{10} \text{QuantumGroups$\grave{ }$a}^6-66 z^8 \text{QuantumGroups$\grave{ }$a}^6+79 z^6 \text{QuantumGroups$\grave{ }$a}^6-39 z^4 \text{QuantumGroups$\grave{ }$a}^6+9 z^2 \text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^6+23 z^{11} \text{QuantumGroups$\grave{ }$a}^5-34 z^9 \text{QuantumGroups$\grave{ }$a}^5-10 z^7 \text{QuantumGroups$\grave{ }$a}^5+16 z^5 \text{QuantumGroups$\grave{ }$a}^5+3 z^3 \text{QuantumGroups$\grave{ }$a}^5-2 z \text{QuantumGroups$\grave{ }$a}^5+31 z^{10} \text{QuantumGroups$\grave{ }$a}^4-53 z^8 \text{QuantumGroups$\grave{ }$a}^4+13 z^6 \text{QuantumGroups$\grave{ }$a}^4+12 z^4 \text{QuantumGroups$\grave{ }$a}^4-3 z^2 \text{QuantumGroups$\grave{ }$a}^4+32 z^9 \text{QuantumGroups$\grave{ }$a}^3-55 z^7 \text{QuantumGroups$\grave{ }$a}^3+30 z^5 \text{QuantumGroups$\grave{ }$a}^3-4 z^3 \text{QuantumGroups$\grave{ }$a}^3+24 z^8 \text{QuantumGroups$\grave{ }$a}^2-32 z^6 \text{QuantumGroups$\grave{ }$a}^2+14 z^4 \text{QuantumGroups$\grave{ }$a}^2-z^2 \text{QuantumGroups$\grave{ }$a}^2-\text{QuantumGroups$\grave{ }$a}^2+13 z^7 \text{QuantumGroups$\grave{ }$a}-10 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}+5 z^6-2 z^4+z^5 $Failed^{-1} }

Modifying This Page

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