K14a5527

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5527

Polynomial invariants

Jones polynomial	Data:K14a5527/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 2 t^5-9 t^4+21 t^3-29 t^2+31 t-31+31 t^{-1} -29 t^{-2} +21 t^{-3} -9 t^{-4} +2 t^{-5} }[/math]
Conway polynomial	Data:K14a5527/Conway Polynomial
Determinant	Data:K14a5527/Determinant
Signature	Data:K14a5527/Signature
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{10}-6 z^6 a^{10}-12 z^4 a^{10}-11 z^2 a^{10}-4 a^{10}+z^{10} a^8+7 z^8 a^8+19 z^6 a^8+28 z^4 a^8+21 z^2 a^8+5 a^8+z^{10} a^6+6 z^8 a^6+11 z^6 a^6+7 z^4 a^6+z^2 a^6-z^8 a^4-5 z^6 a^4-6 z^4 a^4-z^2 a^4 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^5 \text{QuantumGroups$\grave{ }$a}^{17}-2 z^3 \text{QuantumGroups$\grave{ }$a}^{17}+z \text{QuantumGroups$\grave{ }$a}^{17}+3 z^6 \text{QuantumGroups$\grave{ }$a}^{16}-5 z^4 \text{QuantumGroups$\grave{ }$a}^{16}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{16}+5 z^7 \text{QuantumGroups$\grave{ }$a}^{15}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{15}-z \text{QuantumGroups$\grave{ }$a}^{15}+6 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-7 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+2 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+2 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+z \text{QuantumGroups$\grave{ }$a}^{13}+6 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-12 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+13 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-10 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-19 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+29 z^7 \text{QuantumGroups$\grave{ }$a}^{11}-27 z^5 \text{QuantumGroups$\grave{ }$a}^{11}+12 z^3 \text{QuantumGroups$\grave{ }$a}^{11}-2 z \text{QuantumGroups$\grave{ }$a}^{11}+5 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}-19 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}+31 z^8 \text{QuantumGroups$\grave{ }$a}^{10}-36 z^6 \text{QuantumGroups$\grave{ }$a}^{10}+29 z^4 \text{QuantumGroups$\grave{ }$a}^{10}-17 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+4 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^{13} \text{QuantumGroups$\grave{ }$a}^9+z^{11} \text{QuantumGroups$\grave{ }$a}^9-38 z^9 \text{QuantumGroups$\grave{ }$a}^9+89 z^7 \text{QuantumGroups$\grave{ }$a}^9-90 z^5 \text{QuantumGroups$\grave{ }$a}^9+40 z^3 \text{QuantumGroups$\grave{ }$a}^9-7 z \text{QuantumGroups$\grave{ }$a}^9+11 z^{12} \text{QuantumGroups$\grave{ }$a}^8-59 z^{10} \text{QuantumGroups$\grave{ }$a}^8+112 z^8 \text{QuantumGroups$\grave{ }$a}^8-109 z^6 \text{QuantumGroups$\grave{ }$a}^8+63 z^4 \text{QuantumGroups$\grave{ }$a}^8-24 z^2 \text{QuantumGroups$\grave{ }$a}^8+5 \text{QuantumGroups$\grave{ }$a}^8+2 z^{13} \text{QuantumGroups$\grave{ }$a}^7+2 z^{11} \text{QuantumGroups$\grave{ }$a}^7-54 z^9 \text{QuantumGroups$\grave{ }$a}^7+124 z^7 \text{QuantumGroups$\grave{ }$a}^7-107 z^5 \text{QuantumGroups$\grave{ }$a}^7+36 z^3 \text{QuantumGroups$\grave{ }$a}^7-3 z \text{QuantumGroups$\grave{ }$a}^7+6 z^{12} \text{QuantumGroups$\grave{ }$a}^6-30 z^{10} \text{QuantumGroups$\grave{ }$a}^6+41 z^8 \text{QuantumGroups$\grave{ }$a}^6-15 z^6 \text{QuantumGroups$\grave{ }$a}^6-z^4 \text{QuantumGroups$\grave{ }$a}^6+z^2 \text{QuantumGroups$\grave{ }$a}^6+7 z^{11} \text{QuantumGroups$\grave{ }$a}^5-40 z^9 \text{QuantumGroups$\grave{ }$a}^5+71 z^7 \text{QuantumGroups$\grave{ }$a}^5-48 z^5 \text{QuantumGroups$\grave{ }$a}^5+12 z^3 \text{QuantumGroups$\grave{ }$a}^5-z \text{QuantumGroups$\grave{ }$a}^5+4 z^{10} \text{QuantumGroups$\grave{ }$a}^4-22 z^8 \text{QuantumGroups$\grave{ }$a}^4+35 z^6 \text{QuantumGroups$\grave{ }$a}^4-18 z^4 \text{QuantumGroups$\grave{ }$a}^4+2 z^2 \text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3-5 z^7 \text{QuantumGroups$\grave{ }$a}^3+6 z^5 \text{QuantumGroups$\grave{ }$a}^3-z^3 \text{QuantumGroups$\grave{ }$a}^3 }[/math]

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