K12n861

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^{10}+3 q^9-7 q^8+11 q^7-14 q^6+16 q^5-15 q^4+13 q^3-9 q^2+5 q-1 }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^3-9 t^2+22 t-29+22 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^6+3 z^4+4 z^2+1 }[/math]
Determinant	95
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} +2 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-4} +5 z^2 a^{-6} -2 z^2 a^{-8} + a^{-2} - a^{-4} +3 a^{-6} -2 a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^9 a^{-5} +9 z^9 a^{-7} +4 z^9 a^{-9} +5 z^8 a^{-4} +3 z^8 a^{-6} +z^8 a^{-8} +3 z^8 a^{-10} +2 z^7 a^{-3} -10 z^7 a^{-5} -25 z^7 a^{-7} -12 z^7 a^{-9} +z^7 a^{-11} -9 z^6 a^{-4} -15 z^6 a^{-6} -17 z^6 a^{-8} -11 z^6 a^{-10} +2 z^5 a^{-3} +8 z^5 a^{-5} +17 z^5 a^{-7} +7 z^5 a^{-9} -4 z^5 a^{-11} +5 z^4 a^{-2} +9 z^4 a^{-4} +4 z^4 a^{-6} +12 z^4 a^{-8} +12 z^4 a^{-10} +z^3 a^{-1} -4 z^3 a^{-5} -7 z^3 a^{-7} +z^3 a^{-9} +5 z^3 a^{-11} -z^2 a^{-2} -z^2 a^{-4} +6 z^2 a^{-6} +2 z^2 a^{-8} -4 z^2 a^{-10} +2 z a^{-7} -2 z a^{-11} - a^{-2} - a^{-4} -3 a^{-6} -2 a^{-8} }[/math]

Read me first: Modifying Knot Pages

See/edit the Large Knot Page master template.

Back to the top.

Contents