K14a14046

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a14046

Polynomial invariants

Jones polynomial	Data:K14a14046/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -2 t^5+9 t^4-22 t^3+37 t^2-46 t+49-46 t^{-1} +37 t^{-2} -22 t^{-3} +9 t^{-4} -2 t^{-5} }[/math]
Conway polynomial	Data:K14a14046/Conway Polynomial
Determinant	Data:K14a14046/Determinant
Signature	Data:K14a14046/Signature
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10} a^{-4} -z^{10} a^{-6} +z^8 a^{-2} -6 z^8 a^{-4} -7 z^8 a^{-6} +z^8 a^{-8} +5 z^6 a^{-2} -12 z^6 a^{-4} -19 z^6 a^{-6} +6 z^6 a^{-8} +8 z^4 a^{-2} -9 z^4 a^{-4} -26 z^4 a^{-6} +12 z^4 a^{-8} +6 z^2 a^{-2} -18 z^2 a^{-6} +10 z^2 a^{-8} +2 a^{-2} +2 a^{-4} -6 a^{-6} +3 a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +6 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +9 z^{11} $Failed^{-1} +5 z^{11} $Failed^{-1} +2 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +8 z^{10} $Failed^{-1} -17 z^{10} $Failed^{-1} -48 z^{10} $Failed^{-1} -17 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} +4 z^9 $Failed^{-1} -36 z^9 $Failed^{-1} -44 z^9 $Failed^{-1} -27 z^9 $Failed^{-1} -17 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} -34 z^8 $Failed^{-1} +2 z^8 $Failed^{-1} +93 z^8 $Failed^{-1} +39 z^8 $Failed^{-1} -12 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +z^8-16 z^7 $Failed^{-1} +42 z^7 $Failed^{-1} +78 z^7 $Failed^{-1} +69 z^7 $Failed^{-1} +33 z^7 $Failed^{-1} -13 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +43 z^6 $Failed^{-1} +18 z^6 $Failed^{-1} -105 z^6 $Failed^{-1} -50 z^6 $Failed^{-1} +13 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +z^6 $Failed^{-1} -4 z^6+16 z^5 $Failed^{-1} -22 z^5 $Failed^{-1} -63 z^5 $Failed^{-1} -81 z^5 $Failed^{-1} -35 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} -25 z^4 $Failed^{-1} -12 z^4 $Failed^{-1} +73 z^4 $Failed^{-1} +37 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -3 z^4 $Failed^{-1} +4 z^4-4 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} +25 z^3 $Failed^{-1} +48 z^3 $Failed^{-1} +20 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +10 z^2 $Failed^{-1} -z^2 $Failed^{-1} -31 z^2 $Failed^{-1} -13 z^2 $Failed^{-1} +z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -z^2-6 z $Failed^{-1} -12 z $Failed^{-1} -4 z $Failed^{-1} +2 z $Failed^{-1} -2 $Failed^{-1} +2 $Failed^{-1} +6 $Failed^{-1} +3 $Failed^{-1} }[/math]

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