K14a1735

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1735

Polynomial invariants

Jones polynomial	Data:K14a1735/Jones Polynomial
Alexander polynomial	$-3t^{4}+21t^{3}-67t^{2}+129t-159+129t^{-1}-67t^{-2}+21t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1735/Conway Polynomial
Determinant	Data:K14a1735/Determinant
Signature	Data:K14a1735/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+9z^{4}a^{6}+13z^{2}a^{6}+7a^{6}-2z^{8}a^{4}-8z^{6}a^{4}-18z^{4}a^{4}-21z^{2}a^{4}-10a^{4}-z^{8}a^{2}+6z^{4}a^{2}+11z^{2}a^{2}+6a^{2}+2z^{6}+4z^{4}+3z^{2}+1-z^{4}a^{-2}-2z^{2}a^{-2}-a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+10 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+20 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+44 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+38 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+14 \text{QuantumGroups$\grave{ }$a} z^{11}+21 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+31 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+22 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+26 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+14 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^9 z^9-22 \text{QuantumGroups$\grave{ }$a}^7 z^9-94 \text{QuantumGroups$\grave{ }$a}^5 z^9-78 \text{QuantumGroups$\grave{ }$a}^3 z^9-10 \text{QuantumGroups$\grave{ }$a} z^9+9 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-45 \text{QuantumGroups$\grave{ }$a}^8 z^8-131 \text{QuantumGroups$\grave{ }$a}^6 z^8-153 \text{QuantumGroups$\grave{ }$a}^4 z^8-102 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -26 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-28 \text{QuantumGroups$\grave{ }$a}^9 z^7-24 \text{QuantumGroups$\grave{ }$a}^7 z^7+41 \text{QuantumGroups$\grave{ }$a}^5 z^7+32 \text{QuantumGroups$\grave{ }$a}^3 z^7-24 \text{QuantumGroups$\grave{ }$a} z^7-19 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^{10} z^6+39 \text{QuantumGroups$\grave{ }$a}^8 z^6+163 \text{QuantumGroups$\grave{ }$a}^6 z^6+218 \text{QuantumGroups$\grave{ }$a}^4 z^6+133 \text{QuantumGroups$\grave{ }$a}^2 z^6-10 z^6 $Failed^{-1} +19 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+23 \text{QuantumGroups$\grave{ }$a}^9 z^5+48 \text{QuantumGroups$\grave{ }$a}^7 z^5+29 \text{QuantumGroups$\grave{ }$a}^5 z^5+30 \text{QuantumGroups$\grave{ }$a}^3 z^5+41 \text{QuantumGroups$\grave{ }$a} z^5+14 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^{10} z^4-23 \text{QuantumGroups$\grave{ }$a}^8 z^4-109 \text{QuantumGroups$\grave{ }$a}^6 z^4-156 \text{QuantumGroups$\grave{ }$a}^4 z^4-93 \text{QuantumGroups$\grave{ }$a}^2 z^4+9 z^4 $Failed^{-1} -8 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-11 \text{QuantumGroups$\grave{ }$a}^9 z^3-31 \text{QuantumGroups$\grave{ }$a}^7 z^3-31 \text{QuantumGroups$\grave{ }$a}^5 z^3-29 \text{QuantumGroups$\grave{ }$a}^3 z^3-24 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+9 \text{QuantumGroups$\grave{ }$a}^8 z^2+41 \text{QuantumGroups$\grave{ }$a}^6 z^2+62 \text{QuantumGroups$\grave{ }$a}^4 z^2+36 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} +z^2+3 \text{QuantumGroups$\grave{ }$a}^9 z+7 \text{QuantumGroups$\grave{ }$a}^7 z+8 \text{QuantumGroups$\grave{ }$a}^5 z+7 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^6-10 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +1}

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